Answer:
x= -6
Step-by-step explanation:
5x+45-2+2x=1
7x+43=1
7x= -42
x= -6
Answer:
x=-6
Step-by-step explanation:
[tex]5(x+9)-2(1-x)=1\\5x+45-2+2x=1\\5x+43+2x=1\\7x=1-43\\\frac{7x}{7}=\frac{-42}{7}\\ x=-6[/tex]
What is 3.30 divided by -2.00?
Answer:
-1.65
Step-by-step explanation:
3.3/(-2)=-1.65
Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour. Jeff knows that 1cup of the vanilla powder has the mass of 128 grams. He added 2/3 of a cup of vanilla powder to the flour. Should Jeff add more vanilla powder to make the exact recipe, or did he go over and by what amount?
Answer:
Jeff added 52 grams more
Step-by-step explanation:
GivenRequired vanilla = 32 gramsOne cup = 128 gramsUsed = 2/3 of a cupSolutionHow much is 2/3 cup:
2/3*128 = 84 gramsJeff added 84 grams instead of 32 grams, so he added:
84 - 32 = 52 grams more of vanilla powder than requiredWhich set of ordered pairs (x, y) could represent a linear function?
A = {(-6,3), (-3,0), (0, -3), (3,-5)}
B= Y(-1,2), (2, 1), (5,0), (8, -1)}
C = {(-4,-7), (-1, -3), (2.0), (5,3)}
D = {(-5, -8), (-2,-4), (1,1), (4,6)}
Set of ordered pairs (x, y) could represent a linear function
B= {(-1,2), (2, 1), (5,0), (8, -1)}
Option B is correct
Linear FunctionLinear function is a function whose graph is a straight line .
SlopeSlope of a line tells us how steep the line is . Slope of a line is same at all the points.
Slope formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Lets find out slope of any two points in each option
A = {(-6,3), (-3,0), (0, -3), (3,-5)}
[tex]\frac{0-3}{-3+6} =-1\\\frac{-5+3}{3-0} =-\frac{2}{3} \\[/tex]
Slopes are not same
Lets check the second option
B={(-1,2), (2, 1), (5,0), (8, -1)}
[tex]\frac{1-2}{2+1} =\frac{-1}{3} \\\frac{0-1}{5-2} =\frac{-1}{3} \\\frac{-1-0}{8-5} =\frac{-1}{3} \\[/tex]
The slope of any two points are equal .
slope are same . So it represents a linear function .
C = {(-4,-7), (-1, -3), (2.0), (5,3)}
[tex]slope =\frac{-3+7}{-1+4}=\frac{4}{3} \\slope =\frac{0+3}{2+1}=\frac{3}{3}=1[/tex]
Slopes are not same . So it is not a linear function
D = {(-5, -8), (-2,-4), (1,1), (4,6)}
[tex]slope = \frac{-4+8}{-2+5}= \frac{4}{3} \\Slope = \frac{1+4}{1+2}= \frac{5}{3} \\\\slope = \frac{6-1}{4-1}= \frac{5}{3} \\[/tex]
Slopes are not same . so it is not a linear function .
Option B is correct.
Learn more information about 'linear function' here
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7. Erica’s piggy bank has quarters and nickels in it. The total number of coins in the piggy bank is 50. Their total value is $8.90. How many of each type are in the piggy bank?
Answer:
33 quartes and 5 nickels
Step-by-step explanation:
Describe how the shape moves to get from it's position in each frame to the next. Select all ways the rectangle could have been rotated to get from fame 1 to fame 2.
Answer:
40 DEGREES COUNTERCLOCKWISE
140 DEGREES CLOCKWISE
Step-by-step explanation:
To get from frame one to frame two you can either rotate the object in a clockwise or anticlockwise direction.
We can use the edges of the rectangle to monitor the degree with which it is rotated.
If we rotate in a clockwise direction, it means that we are rotating from the left to the right; that is in the direction of the clock. If we are turning this way, we would have to turn the rectangle through 140 degrees to get it into frame 2's position
If we are rotating in the anticlockwise direction (against the direction of the clock) we are turning it from the right to the left. We will be turning it by only 40 degrees to get it into frame 2's position
Lily just paid off a $400 loan. She had to pay $60 in interest at a simple annual interest rate of 5%. How many years did Lily have this loan?
Answer:
I=prt,,60=400*0.05t,,t=3 ..................
this is what i got i hope it is use full to you <3
Step-by-step explanation:
Answer:
B/3
Step-by-step explanation:
yes dont ask. I KNOW ITS RIGHT
Find the area of triangle ABC
please help asap!
Step-by-step explanation:
The Base of the triangle= 3+6=9 units
Altitude of the triangle=6-2=4 units
Hence, Area of a triangle= Base×Altitude ×1/2
Hence, Area of the abc = 9×4×1/2=18 unit^2
Which of the following statements is true? (8.2D)
Answer:
Where is the statement
Aiden is going to make salsa. He bought 2.3 pounds of tomatoes, a 3.75 pound bag of
onions, and 2 bags of peppers that each weighed 1.4 pounds. How many pounds of
ingredients did he purchase?
Answer:
8.85
Step-by-step explanation:
2.3+3.75+1.4+1.4
PLEASE HELP! WILL MARK BRAINLIEST: How many terms of the arithmetic sequence -1, 2, 5,… must be added to get 609?
Answer:
OK i am 13 and want to help but I am not sure how to do it but I think if you find a patter then divide it by 609 it might work
Step-by-step explanation:
The number of the terms will be 20 to get the sum of 609.
What is an arithmetic sequence?An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.
Given sequence is -1, 2, 5,… the sum is 609.
The number of the terms will be calculated by using the sum formula;-
Sn = ( n / 2 ) [ ( 2a + ( n - 1 )d ]
609 = ( n / 2 ) [ ( 2 x -1 ) [ ( n - 1 ) x 3 ]
609 = ( n / 2 ) [ ( -2 + 3n - 3 ) ]
609 = ( n / 2 ) [ ( -5 + 3n ) ]
1218 = -5n + 3n²
3n² -5n -1218 = 0
n = 20
n = -21
Therefore, the number of the terms will be 20 to get the sum of 609.
To know more about arithmetic series follow
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Write the number marked with an arrow on the number line below as an improper (top-heavy) fraction.
===============================================
Explanation:
Start at 6 and count the small tickmarks to see that it takes 5 spaces to go from 6 to 7 on the number line.
So each small tickmark represents 1/5 of a unit.
The arrow is 3 ticks away from the 6, so we add on 3/5 to 6 getting the mixed number 6 + 3/5 = 6 & 3/5
The 6 is the whole part, while 3/5 is the fractional part.
----------------
Let's convert to an improper fraction
6 & 3/5 = 6 + 3/5
6 & 3/5 = 6*(5/5) + 3/5
6 & 3/5 = 30/5 + 3/5
6 & 3/5 = (30+3)/5
6 & 3/5 = 33/5
----------------
You could also use the formula
a & b/c = (a*c + b)/c
to get
6 & 3/5 = (6*5 + 3)/5
6 & 3/5 = 33/5
does circumference divided by ratio equal to pi?
Answer:
Yes circumference divided by ratio equals to pi
Answer:
Step-by-step explanation:
1 1/2 * 14 Can you explain please i really don't remember how to multiply fractions
Answer:
21 or 21/1 or 42/2
Step-by-step explanation:
1. you need to change 1 1/2 to a uneven fraction
1 1/2 to 3/2
2. 3/2 * 14/1
3. Multiply across - 3/2 * 14/1 = 42/2
4.Then simplify: 21
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{21}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{1 \frac{1}{2} \times 14}[/tex]
Convert mixed fraction into improper fraction
⇒[tex] \sf{ \frac{2 \times 1 + 1}{2} \times 14}[/tex]
⇒[tex] \sf{ \frac{2 + 1}{2} \times 14}[/tex]
⇒[tex] \sf{ \frac{3}{2} \times 14}[/tex]
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term
⇒[tex] \sf{ \frac{3 \times 14}{2 \times 1} }[/tex]
⇒[tex] \sf{ \frac{42}{2} }[/tex]
Divide 42 by 2
⇒[tex] \sf{21}[/tex]
Hope I helped!
Best regards!!
two fifths of a number
Answer:
2/5x
Step-by-step explanation:
Step 1: Write out "two fifths" in number form
*This becomes a fraction*
2/5
Step 2: Write out "a number" in number form
*This is a variable*
x
Step 3: Combine "of a"
*This means multiply}
2/5x
Plssss help
I have to find what the letter is equal to
1. C divided by4=5
C=
2. 9d=27
D=
3. 2a+9=17
A=
4. 4b-12=24
B=
5. True or false
K is 6,are the following equations true or false
1. Kx8=54
2. 9+k=2k+3
Guys plsss urgent
Answer:
1. c=20
2. d=3
3 a=4
4. b=9
5. 1. false 2. true
Find each product.
1) (5n - 5)(4n - 4)
Answer:
20n² - 40n + 20
Step-by-step explanation:
(5n - 5)(4n - 4)
= 5n(4n) + 5n(-4) - 5(4n) - 5(-4)
= 20n² - 20n - 20n + 20
= 20n² - 40n + 20
Another way to do this:
(5n - 5)(4n - 4)
= 5(n - 1) * 4(n - 1)
= 20(n - 1)(n - 1)
= 20(n - 1)²
= 20(n² - 2n + 1)
= 20n² - 40n + 20
You are taking a multiple-choice test that has six questions. Each of the questions has three answer choices, with one correct answer per question. If you select one of these three choices for each question and leave nothing blank, in how many ways can you answer the questions?
Answer:
729 ways
Step-by-step explanation:
Given
Number of questions = 6
Choices = 3
Required
Number of ways of answering the questions
For each of the 6 questions;
There are 3 possible ways of selecting an answer;
The possible ways for the 6 questions is:
[tex]Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3[/tex]
[tex]Possible\ Ways = 729[/tex]
Hence, there are 729 ways of answering the question
Can someone help me thanks
Answer:
-142
Step-by-step explanation:
So we have the function:
[tex]f(x)=-x^2-9x+20[/tex]
To find f(9), substitute x for 9:
[tex]f(9)=-(9)^2-9(9)+20[/tex]
Square the first term and multiply the second:
[tex]f(9)=-81-81+20[/tex]
Add:
[tex]f(9)=-142[/tex]
And that's our answer :)
Consider points R, S, and T. Point S is in the middle. Point R is below and to the left of point S. Point T is below and to the right of point S. Which statement is true about the geometric figure that can contain these points? No line can be drawn through any pair of the points. One line can be drawn through all three points. One plane can be drawn so it contains all three points. Two planes can be drawn so that each one contains all three points.
Answer:
Answer:One plane can be drawn so it contains all three points.
Step-by-step explanation:
Took the test :P
One plane can be drawn, so it contains all three points. Then the correct option is C.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space.
Consider points R, S, and T. Point S is in the middle.
Point R is below and to the left of point S. Point T is below and to the right of point S.
Let the coordinate of the S is at origin that is (0, 0)
Then the coordinate of R and T with respect to S will be (-x, -y) and (x, -y).
One plane can be drawn, so it contains all three points.
Then the correct option is C.
More about the coordinate geometry link is given below.
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Assuming there are no reflections or dilations,
explain how you would write the equation of the
function whose graph is sketched below.
ty
4
-8
-4
Answer:
Start with the parent function y=1/x^2.
Add 3 to x in the denominator, because the graph is shifted left 3. Add 1 to the fraction, because the graph is shifted up 1 unit.
Step-by-step explanation:
When a function is transformed, it means the function is either rotated, dilated, rotated or translated.
The equation of the function whose graph is sketched is:
[tex]f(x) = \frac{1}{(x + 3)^2} + 1[/tex]
The parent function is an inverse function of the form:
[tex]y = \frac 1{x^2}[/tex]
The parent function is shifted in two ways.
3 units left1 unit upWhen a function is shifted to the left, the rule is:
[tex](x,y) \to (x + h,y)[/tex]
Where:
[tex]h \to[/tex] number of units.
So, we have:
[tex](x,y) \to (x + 3,y)[/tex]
The function becomes
[tex]y' = \frac{1}{(x + 3)^2}[/tex]
When a function is shifted up, the rule is:
[tex](x,y) \to (x ,y+b)[/tex]
Where:
[tex]b \to[/tex] number of units.
So, we have:
[tex](x,y) \to (x ,y+1)[/tex]
The function becomes
[tex]y'' = \frac{1}{(x + 3)^2} + 1[/tex]
So, the graph of the function in the given graph (see attachment) is:
[tex]f(x) = \frac{1}{(x + 3)^2} + 1[/tex]
Read more about transformations at:
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Identify the correct reason for the second node(Heeelp)
A. Definition of Congruent segments
B. Definition of Midpoint
D. Definition of Angle Bisection
Answer: B. Definition of midpoint
The midpoint A cuts the line segment DW in half. So DW is cut into two pieces DA and WA, both of those smaller pieces are the same length.
The equation
= reserve rate shows the relationship between the
money multiplier
reserve rate and the money multiplier, regardless of their values.
A. True
B. False
Answer:
true
Step-by-step explanation:
Answer: true
Step-by-step explanation:
ap3x
How can you rewrite 12 -− (-5) as an addition problem?
Answer:
12+5
Step-by-step explanation:
[tex] - ( - a) = a \\ 12 - ( - 5) = 12 + 5[/tex]
Answer:
12+5=17 ?
Step-by-step explanation:
A thread is wound 200 times round a reel of diameter 5 cm. Use the value 3 for it to find the approximate length of the thread in metres.
Answer:
Length of the thread = 30 metres
Step-by-step explanation:
Length of the thread in one round of a reel = Circumference of the reel
C = [tex]2\pi r[/tex]
Since radius of the reel = [tex]\frac{\text{Diameter}}{2}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2.5 cm
Circumference of the reel = 2(π)(2.5)
= 5π
= 5×3
= 15 cm
Length of the thread wound in one round around the reel = 15 cm
Since, thread is wound 200 times round a reel, length of the thread
= 200 × 15
= 3000 cm
≈ 30 metres
Therefore, Option (B) will be the answer.
please help!! Thank youu!
Answer:
$260
Step-by-step explanation:
Answer please?
Quick.
I've labeled where the vertex is and where the parabola should be. I recommended using this online calculator called desmos. Super useful!
Place the LETTER of each value in its location in the real number system below
Answer:
Rational numbers are; A, E, F, I
Integers are; H and D
Whole numbers are J and B
Natural numbers is G
Please find attached the location of the letters on the real number system
Step-by-step explanation:
Rational numbers are numbers that can be expressed as the ratio, a/b, of two numbers as a/b where a and b are integers
Integers are the negative and positive whole numbers
Whole numbers are the positive counting numbers from 0 and above
Natural numbers are the positive counting numbers, sometimes including 0.
1. What is happening when you are multiplying fractions?
Answer:
To multiply fractions, first we simplify the fractions if they are not in lowest terms. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator.
pls give brainliest
What is this 5n+6+(−7n)
Answer:
4n
Step-by-step explanation:
1. -7n-5n= -2n
2. -2n + 6= 4n
Answer:
-2 + 6
Step-by-step explanation:
Hopefully I helped :) Sorry if i didn't atleast i tried !
Let f(x) = 4x + 8 and g(x) = 2x - 12. Perform the function operation, (f - g)
(x), and then find the domain of the result.
Answer:
work is pictured and shown
Domain: all real numbers