Answer: X = -7 because -6 times -7 equals 42 and 42 minus 9 equals 33
Answer:
Step-by-step explanation:
Step 1: Add 9 to both sides, 33+9=42, the 9s cancel out.
Step 2: divide -6x to both sides 42/-6x is -7x, the 6s cancel out.
You can check the answer by substituting x with 7, so it should look like this: -6(-7)-9=33 :)
Jennifer wrote the expression 5(3x + 1 + 2). Danielle used only the distributive property to write an equivalent expression. Which expression could Danielle have written? 15x + 5x + 2x 15x + 15 15x + 5 + 10 5(3x + 3)
Using the distributive law on 5(3x + 1 + 2)
she would get: 5(3x) + 5(1) + 5(2)
Can you get this next step? Don't do anything but these multiplications!
Use the distributive law on each of these:
16(x + y) = 16(x) + 16(y) = <--- can you make this look a little simpler?
4(x + 3y) = 4(x) + 4(3y) = <--- can you make this look a little simpler?
2(2x + 6y) = 2(2x) + 2(6y) = <--- can you make this look a little simpler?
(2x + 6y) + (2x + 6y)
= 2x + 6y + 2x + 6y
= 2x + 2x + 6y + 6y <--- can you make this look
= 4x +12y
= 4(x+ 3y)
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we have 10 blocks, of which 4 are green, 3 are red, 2 is white, and 1 is black. if we put the blocks in a line, how many arrangements are possible?
If we put the blocks in a line, the possible arrangements are 12600 ways. The factorial of the total blocks is divided by the multiplication of the factorial of each color of the block.
How to calculate the possible arrangements?We have
Total blocks = 10Green block = 4Red block = 3White block = 2Black block = 1If we put the blocks in a line, determine the possible arrangements!
In that situation, the number of possible arrangements can be calculated by
[tex]Number \: of \: possible \: arrangements = \frac{Total \: blocks!}{Green! \: Red! \: White! \: Black!}[/tex]
So, the possible arrangements would be
[tex]= \frac{10!}{4! \: 3! \: 2! \: 1!}[/tex]
[tex]= \frac{5 \times 6 \times 7 \times 8 \times 9 \times 10}{3! 2!}[/tex]
[tex]= 5 \times 7 \times 8 \times 9 \times 5[/tex]
= 12600 arrangements
Hence, there 12600 possible arrangements to put the blocks in a line.
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A large bag of coffee beans at
Costco sold for $11.99 last
July. This July, the same bag
of coffee beans is sold for
$14.99. What is the percent
increase in the price of the
coffee? Round your answer
to the tenths place
By special order, Starbucks Coffee Company roasts a number of Kirkland Signature coffee flavors. The 2.5 pound Kirkland Signature Espresso Blend Coffee, Decaf House Blend Coffee, and Regular House Coffee are some examples. Coffee from Kirkland's Signature House Blend costs $6.20 per pound.
Who makes Kirkland coffee for Costco?The Kirkland Signature line of products from Costco is renowned for its exceptional quality and competitive pricing.Some of the producers of Kirkland goods include well-known American businesses like Starbucks, Duracell, and Reynolds.Over 30% of Costco's total revenue is now accounted for by Kirkland.Check out the best cash-back credit card we recommend for 2022.Kirkland Signature goods were introduced by Costco in 1995 as a unified line for its various private labels. Its original headquarters were in Washington State, hence the name. About 30 distinct products were available at the time; today, the Kirkland brand is associated with 364 different items.For quality control purposes, businesses develop their own proprietary labels. In general, private labels have a bigger profit margin and are less expensive than national brands. While Kirkland Signature is renowned for offering high-quality goods at competitive prices, it may come as a surprise to learn that prominent national brands also serve as the third-party manufacturer for Kirkland Signature goods. Their cheaper cost and distinctive black, red, and white label and packaging are the only things that set them apart from name-brand products.On the packaging, you may see several of the well-known names that are behind Kirkland Signature, but you won't find any of them elsewhere. The brands behind some of Costco's Kirkland Signature items are listed below.To Learn more About Coffee from Kirkland's refer To:
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Question 6 of 10
What is the simplified form of 1¹4?
A. i
OB. -i
O C. 1
OD. -1
The correct answer is C.1 raised to the power of 14 is equal to 1.so the the simplified form of 1¹4 is 1.
What is simplified form?Simplified form refers to the process of reducing an expression or equation to its simplest form, typically by combining like terms or removing unnecessary elementsThe simplified form of 1 raised to the power of 14 is just 1.This is because any number raised to the power of 0 is always equal to 1.So when you raise 1 to the 14th power, you get the product of 1 multiplied by itself 14 times, which is still 1.For example, 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1.In general, when raising a number to a positive whole number power, the result will be that number multiplied by itself that number of times.Therefore, 1¹4=1To learn more about simplified form refer:
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The point (3,-1) is on a graph of
y = x² + kx -4. What is the value
of k?
A -1
B -4/3
C -2
D-6
Answer:
Step-by-step explanation: ( 3, 1)
x = 3, y = 1
From the formula, y = x² + kx - 4
1 = 3² + 3k - 4
1 = 9 + 3k - 4
1 = 5 + 3k
-3k = 5 + 1
-3k = 6
Divide both sides by -3
-3k/-3 = 6/ -3
k = -2
Geometry Find the X congruent
The value of x is 59°.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given is a figure formed by three lines.
There is a triangle formed with one of the angle is x°, which has to be found.
The angles 108° and one of the interior angle of the triangle is supplementary.
One of the angles of the triangle = 180 - 108 = 72°
The third angle of the triangle is a vertically opposite angle of the pair 49° of the two lines.
Vertically opposite angles are formed by the intersection of two lines.
Third angle = 49°
Sum of the interior angles of triangle = 180°
x + 72 + 49 = 180
x = 180 - (72 + 49)
x = 59°
Hence the degree of angle of x is 59°.
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Noah goes to the library every 4th day, and Aniyah goes to the library every 6th day. when will they go to the library on the same day
Answer:
the 24th day they'll be there
Step-by-step explanation:
4 8 12 16 20 24
6 12 18 24
What is 300\%300%300, percent of 888?
Hint: We can think of 300\%300%300, percent as a common number.
On solving the provided question, we can say that the answer is that the percentage of 300\%300%300, percent of 888 is 888.
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
300\%300%300, percent of 888
300/300/100 X 100 X 888
= 888
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What is the length of ? round to the nearest tenth. 6. 8 cm 7. 5 cm 14. 5 cm 17. 7 cm.
The length of an object is the measurement of its longest side when measured from one end to the other.
6. 8 cm = 6.8 cm
7. 5 cm = 7.5 cm
14. 5 cm = 14.5 cm
17. 7 cm = 17.7 cm
The length of any object is the distance from one end to another. To calculate the length of an object, we must measure the distance between the two endpoints. To do this accurately, we need to use a ruler, tape measure, or other measuring device. To round the measurement to the nearest tenth, we need to look at the digit to the right of the decimal point. If the digit is 5 or higher, we round up, and if the digit is 4 or lower, we round down. For example, if the measurement was 6.8 cm, we would round it up to 6.9 cm. If the measurement was 7.5 cm, we would round it down to 7.4 cm. Similarly, 14.5 cm would round up to 14.6 cm and 17.7 cm would round down to 17.6 cm.
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I need help Quickly please! (20 points)
The table shows the relationship describe the in the equation is B
How to determine which table shows the relationship describe the in the equation?In order to determine which table shows the relationship describe the in the equation, we need to find the slope of each table.
Slope is given by Slope = (y2-y1)/(x2-x1)
where (x1, y1) and (x2, y2) are any two corresponding values on the table
For A:
Slope = (16.98-7.99)/(2-1) = 8.99
y= 8.99x
For B:
Slope = (15.98-7.99)/(2-1) = 7.99
y = 7.99x
For C:
Slope = (32.96-7.99)/(4-1) = 8.32
y = 8.32x
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what is 1\2 y =1 in standard form
Answer:
y=2
Step-by-step explanation:
How do you know if a graph is absolute value?
If the graph of function is V shaped, symmetric about y-axis or any line parallel to y-axis then the graph represents an absolute value function.
We know that an absolute value of any number describes the distance from zero of that a number is on the number line, without considering its sign (negative / positive number).
We know that the graph of the absolute value function is V shaped and symmetric about the y -axis or any line parallel to y-axis.
The graph makes a right angle at the origin.
The graph of absolute value consists of two pieces: one with a negative slope and the one with a positive slope.
Also, vertex is the point at which the graph of absolute value function changes its direction.
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Can someone help with this math problem pls!
Answer: -3/20
Step-by-step explanation:
Convert all numbers to fractions:
(-4/5 + 3/4)/(1/3)
=(-1/20)/(1/3)
=-1/20 * 3
= -3/20
when three or more lines intersect at a common point, the lines are called
Concurrent line segments are those that cross at least three other line segments at the same location.
What is concurrent lines?Concurrent line segments are those that cross at least three other line segments at the same location. In geometry, if two lines intersect at a single point in a plane or higher-dimensional space, they are said to be concurrent. In contrast to parallel lines, they exist. Concurrent lines are those that cross more than one line at the same time through a single point in a plane. The point of concurrency is a location that each of those lines shares. Triangles provide another example where this concurrency characteristic can be observed.
Here,
Concurrent line segments are those where three or more line segments cross each other at the same location.
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Find the area of the shaded figure
On solving the provided question, we can say that from the graph, area of the figure = 2*( 35+34.6+112+.3478 ) = 363.895sq units
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
From the graph,
area of the figure = 2*( 35+34.6+112+.3478 ) = 363.895sq units
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A car goes 42 miles in 45 minutes (3/4 of an hour)
The distance traveled by car in one hour will be 56 miles.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a car goes 42 miles in 45 minutes (3/4 of an hour). the distance traveled by car in one hour will be calculated as,
45 minutes = 42 miles
1 minute = 42 / 45 miles
60 minutes = ( 42 / 45 ) x 60
60 minutes = 56 miles
Hence, the distance will be 56 miles.
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2) Show how can we can get Equation B from Equation A.
. 5−3=7 . 5=10
If the fdic charges bank e 2. 4 cents per 100 dollars insured, how much must bank e pay to insure $4. 8 million in deposits? a. $1,152 b. $115,200 c. $2,112 d. $211,200 please select the best answer from the choices provided a b c d.
Bank E must pay the FDIC a fee of $115,200 to insure $4.8 million in deposits, which is calculated by multiplying the rate of 2.4 cents per $100 with the total amount of deposits.
1. Take the total amount of deposits and divide by
100 (4.8 million / 100 = 48,000)
2. Multiply by the rate of 2.4 cents
(48,000 x 0.024 = 1,152)
3. Multiply the result by 100
(1,152 x 100 = 115,200)
4. The amount Bank E must pay to the FDIC is $115,200.
Bank E must pay the FDIC a fee to insure its $4.8 million in deposits. In order to calculate the fee, you must first divide the total amount of deposits by 100 to get the number of $100 increments. You then need to multiply this number by the rate of 2.4 cents, which will give you the total fee in cents. Finally, you need to multiply the total fee in cents by 100 to get the total fee in dollars. In this case, the amount Bank E must pay to the FDIC is $115,200.
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Match each table with Exponential or Linear based on the pattern shown in the table.
Each table matched with Exponential or Linear based on the pattern shown:
Table A → exponential
Table B→ linear
Table C→ exponential
Table D→ linear
What is linear function?The graph of a linear function is a straight line. The following is the form of a linear function.
a + bx = y = f(x).
One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.
Given:
There are four tables.
If the first difference of the table's data is constant,
then the table shows the linear relationship.
And if the ratio is common, t
hen the table shows the exponential relationship.
Table A:
-6/-1 = 6
-36/-6 = 6
-216/-36 = 6
The common ratio is 6.
The table shows the exponential relationship.
Table B:
14 - 7 = 7
21-14 = 7
28 - 21 = 7
The first difference is constant.
The table shows the linear relationship.
Table C:
3/1 = 3
9/3 = 3
27/9 = 3
The common ratio is 3.
The table shows the exponential relationship.
Table D:
6 - 0 = 6
12 - 6 = 6
18 - 12 = 6
The first difference is constant.
The table shows the linear relationship.
Therefore, the relationship is given above.
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The teacher gave a true and false quiz were true equals 0.8 for each question interpret the likelihood, that the first question will be true.
The interpretation that the likelihood that the first question will be true is (a) Likely
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
From the question, we have the following parameters that can be used in our computation:
Probability value:-
The value of the probability and the notation are given as
P(true) = 0.8
As a general rule of probability, we have
Range of probability value = 0 to 1 (inclusive)
Unlikely = less than 0.5
Equally likely and unlikely = 0.5
Likely = greater than 0.5
Using the above as a guide, we have the following:
The value of P(true) = 0.8 is greater than 0.5
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For which function is it true that y -› -infinity as X -> infinity?
You're basically trying to get here is the limit as x approaches negative infinity, of (5ˣ -1)/(x¹⁰ -1).
What you're basically trying to get here is the limit as x approaches negative infinity, of (5ˣ -1)/(x¹⁰ -1)?What you're basically trying to get here is the limit as x approaches negative infinity, of (5ˣ -1)/(x¹⁰ -1).
Let's look at the numerator and denominator of this function separately. First, in the numerator, as x goes toward -infinity, the value of 5ˣ gets closer and closer to 0 with ever increasing negative powers. You then subtract 1 from that, so the entire numerator will tend closer and closer to -1 with decreasing x.
Step2:
Then, in the denominator, recall that any number, negative or positive, to an even power will be positive. As x goes lower and lower, x¹⁰ will go higher and higher, to the point where subtracting 1 from it will have no effect. In other words, the denominator will tend closer and closer to infinity.
In the end, you basically have a real number being divided by ever larger and larger numbers, making it approach zero. So the final answer is, y will approach zero as x approaches -infinity.
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The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 50%, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.
HELP ME
The likelihood of randomly selecting a chocolate chip cookie is C. equally likely and unlikely.
How to calculate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.
From the information, the baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 50%.
The likelihood of randomly selecting a chocolate chip cookie from the batch is 0.5. This implies that it is equally likely and unlikely.
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Answer: Its C
Step-by-step explanation:
You’re working in the product development department of a large toy manufacturer. The two grids you’re working with will be laser cut and inserted into an interactive shapes game for toddlers. The dots on the grid are 1 inch apart.
Two grids. The first grid consists of the following shapes: A rectangle with a length of 1 and a height of 4. A square with a length of 3. A square with a length of 1. 2 triangles with a base of 1 and a height of 1. The second shape consists of the following shapes: A triangle with a base of 4 and a height of 3. A square with a length of 3.
Find the total area for the two shapes in order to determine how much raw material will be cut away from the surface. Type the correct answer in the box. _____ sq in
given: grid 1: rectangle, squares, triangles
grid 2: triangle, square
to find: area of shapes
final answer: 36 in sq
The quantity of space contained within a shape is known as area. A surface's or shape's area can be useful in everyday life. Multiply a rectangle's height by its width to determine its area. Because each side is the same length, all you need to do to find the area of a square is multiply the length of one of the sides by itself.
grid 1:
area of rectangle = length* height
= 1*4 = 4 in sq
area of square = side* side
= 3*3 = 9 in sq
area of square = side* side
=1*1 = 1 in sq
area of 2 triangles = 2* 1/2(base* height)
= 2* 1/2(1* 1) = 1 in sq
total area in grid 1 = 15 in sq
grid 2:
area of square = side* side
=3*3 = 9 in sq
area of triangle = 2* 1/2(base* height)
= 2* 1/2(4* 3) = 12 in sq
total area in grid 1 = 21 in sq
therefore, the total area is 21 + 15 = 36 in sq
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What is the volume in cubic meters of the
triangular pyramid shown below?
The volume of triangular pyramid is 26.4 cubic meters.
What is triangular pyramid?
A pyramid with a triangle base is referred to as a triangular pyramid. Vertices are essentially corners in geometry. Both regular and irregular triangular-based pyramids contain four vertices.
Pyramids with triangular bases have six edges, three of which run along the base and three of which rise above the base. The pyramid is referred to as a regular tetrahedron if all six edges are the same length and all the triangles are equilateral.
Volume of a triangular pyramid is given by:
V = ⅓* Base Area* Height
Base Area= Area of triangle
Area of triangle= Height*base*1/2
= 1/2*8*3
= 12 square meters
Height = 6.6m
V= 1/3*12*6.6
= 26.4 cubic meters
Hence, the volume of triangular pyramid is 26.4 cubic meters.
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Find X, geometry help
Answer:
45 degrees
Step-by-step explanation:
Georgia joined the the big race. Her race can be modeled with the equation y=3x+4 where x is seconds and y is distance. How much of a head start did georgia get? How can you tell from the equation?
A. Georgia did not get a head start in the race as the y-intercept is 4
B. The y-intercept of the equation y = 3x + 4 is the point where the line crosses the y-axis. In this equation, the y-intercept is 4. This means that when x = 0 (at the start of the race), y = 4.
This is the point where Georgia started the race, and since x=0, the distance is 4 and she did not get any head start. Therefore, the y-intercept is not a head start.
The y-intercept value in the equation is the constant term (4) which is always added to the equation regardless of the value of x.
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A chocolate bar measures 30 mm wide, 70 mm long, and 4.
needed to make the wrapper.
0
(4 points)
mm high. Will's Wrapping Company is making a wrapper to cover the chocolate bar. Use the correct net and determine how much paper will be
Will's Wrapping Company needs 4,200 mm of paper to wrap the chocolate bar
Will's Wrapping Company needs 5,100 mm² of paper to wrap the chocolate bar
Vill's Wrapping Company needs 2,550 mm² of paper to wrap the chocolate bar
Will's Wrapping Company needs 7.000 mm² of paper to wrap the chocolate bar
Will's Wrapping Company needs 5000 mm² of paper to wrap the chocolate bar
What is a cuboid?
A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has eight vertices, twelve edges, and six rectangular faces. A rectangular prism is another name for a cuboid. A cube is an object with six square faces on a cuboid.
Total surface area of cuboid:
(SA)=2lw+2lh+2hw = 2(70)(30)+2(70)(4)+2(4)(30) = 5000 mm²
Thus, Will's Wrapping Company needs 5000 mm² of paper to wrap the chocolate bar
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PLEASE SOMEONE, IM TIMED
Answer:
a) 3x^2-8x+14
b)x^2-8x-4
c)2x^4-8x+45
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
Select the correct answer. The sum of two numbers, x and y, is 12. The difference of x and two times y is 6. What are the values of x and y? A. x = 8, y = 4 B. x = 10, y = 2 C. x = 18, y = -6 D. x = 20, y = -8
The values of x and y are in option B. x = 10, y = 2
What is a simultaneous equations?
When two given equations are to be solve concurrently, then the equations are said to be simultaneous equations.
Thus to solve the given question, we have;
x + y = 12 ........... 1
x - 2y = 6 .......... 2
multiply equation 1 by 2, and equation 2 by 1 to have;
2x + 2y = 24 ........ 3
x - 2y = 6 ......... 4
Add equations 3 and 4,
3x = 30
x = 30/ 3
x = 10
Substitute the value of x in equation 1,
x + y = 12
10 + y = 12
y = 12 - 10
y = 2
Therefore, the values of x = 10 and y = 2. Option B.
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PLS HELP THIS IS DUE SOON
Investment B would have the greatest amount.
What is the greater amount?When we look at the compound interest, we know that the compound interest is compound not only on the principal but also on the interest that accrues to the investment.
We know that in the first case;
A = P(1 + r/n)^nt
A = amount
P = Principal
r = rate
n = Number of times compounded
t = time
Then;
A = 3000(1 + 0.08/2)^2 *7
= $5195
Again;
A = 5000(1 + 0.036/3)^3 * 4
A = $5769
The investment that would give a larger result is investment B.
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