Answer:
6/8 is equivalent to 3/
If the area of the triangle is 10 cm squared, what are the height and the base?
Answer: The height would be 4cm², and the base would be 5cm²
Height = 4 cm² Base = 5 cm²
Step-by-step explanation:
Area of triangle = (1/2) Height x Base
10 = (1/2) x W · H
Substitute
(1/2) 4 · 5
Solve
2 · 5 = 10
How many 18-pound servings are in a two-pound bag of shredded cheese?
Answer:
i think it is 9
Step-by-step explanation:
On a 28-question test, there are 2-point questions and 5-point questions. there are three times as many 2-point questions as 5-point questions on the test. how many 2-point questions are on the test?
Part A: Define the variables
Part B: Write a system of equations to represent the situation
Part C: Solve the system to find how many of each type of questions are on the test
a. The variables are 2-point questions for x and 5-point questions for y
b. The system of equations to represent the situation will be 4y = 28
c. The number of each type of questions that are on the test are 21 2-points questions and 7 5-points questions.
How to illustrate the variables?From the information, on the 28-question test, there are 2-point questions and 5-point questions. there are three times as many 2-point questions as 5-point questions on the test.
Let 2-point questions = x
Let 5-point questions = y
From the information, x = 3y
Therefore, the equations to represent the situation will be:
3y + y = 28
4y = 28
Divide
y = 28 / 4
y = 7
Number of 2-point questions will be:
= 7 × 3
= 21
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A credit card advertises an APR of 21.99%. What would the MPR (monthly percentage rate) be?
a- 1.6825%
b- 1.8325%
c-2.2275 %
d- 2.2725%
Answer:
b. 1.8325%
Step-by-step explanation:
You want the monthly percentage rate corresponding to an annual percentage rate of 21.99%.
Monthly rateThe rate for any part of a year is found by multiplying the annual rate by the fraction that part is of a year. A month is 1/12 of a year, so the monthly rate is ...
(1/12) × 21.99% = 1.8325%
The MPR is 1.8325%.
Two angles are supplementary. The larger angle is 72∘ more than the smaller angle. Find the measure of the larger angle.
126°.
Two supplementary angles equal to 180°. If the larger angle is 72° larger than the smaller angle, simply add the two numbers with a gap of 72° in them.
126° + 54° = 180°
See attached image below:
Show all work
The maximum area is identified by deducting the side length from the perimeter twice, dividing the result by 2, and then multiplying the result by the side length.
What is a property that is rectangular?
Properties of Rectangles: The basic characteristics of rectangles are: A quadrilateral is a rectangle. The different sides are parallel and at the same level. Each interior has an angle of 90 degrees.360 degrees is the total of all interior angles.
Let x be the measurement of the side of the rectangle that is perpendicular to the walls. After that, the expense for the ends and partitions is...
10x +20x +20x +10x Equals 60x
The other two sides of the rectangle will be priced at (1560 -60x), thus they will be long.
(1/2)(1560 -60x)/10 = 78-3x
The rectangle's area equals the sum of its two dimensions, hence area = x. (78 -3x)
This parabola opens downward and bears zeros at x=0 and x=78/3. The vertex of the parabola will be at x = (0 + 78/3)/2 = 13 78 -3(13) = 39, which is in the midst of these values. . different side dimension
When the enclosure side parallel to the partitions is 13 meters and the other side is 39 meters, the area is maximized.
The maximal area is therefore x*y=13*39=507
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if BCF ~ BDE, solve for x
The value of x in the given similar triangles is 10.
What are similar triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Given are two similar triangles, Δ BCF ~ Δ BDE
We know that, in similar triangles, the ratio of the corresponding sides are in the same proportion,
Therefore,
BC / BD = CF / DE = BF / BE
(56 + 5x - 8) / 56 = (52+39) / 52
(48 + 5x) / 14 = 91 / 13
(48 + 5x) / 14 = 7
48 + 5x = 98
5x = 50
x = 10
Hence, the value for x is 10.
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The base of a right-angled triangle is 10cm and it's height is 15cm. Tommy was asked to calculate the length of the hypotenuse, giving the exact value in scientific notation. Tommy gave his answer as 18.03 x 10 and stated that exact value is not possible because the number is irrational. Using hypotenuse^2 = base^2+ height^2, A) State whether or not Tommy is correct, show working. (3 marks) B) Explain how you know. (2 marks
Tommy is right about the fact that an exact value is not possible because the number is irrational but the correct approximate length is 18.30.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, The base of a right-angled triangle is 10cm and its height is 15cm.
We know, hypotenuse² = base² = height².
Therefore, hypotenuse² = 10² + 15².
hypotenuse² = 100 + 225.
hypotenuse = √335.
hypotenuse = 18.30.
But Tommy gave his answer as 18.03×10 which is equal to 180.3.
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Joe is creating a rectangular garden. The length is 2 feet more than its width. The area is 120 square feet. Find the original dimensions of the garden.
Show work.
The original dimensions of the garden are width of 10 feet and a length of 12 feet.
How to find the original dimensions of the garden?A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
Let's call the width of the garden w.
According to the problem, the length of the garden is 2 feet more than its width:
Length = w + 2
And the area of the garden is 120 square feet:
Area = Length * Width
Substituting the expression for Length from the first equation into the second equation:
Area = (w + 2) * w
Expanding the expression:
Area = w² + 2w
Setting the expression for the area equal to 120:
w² + 2w = 120
Expanding the expression to a quadratic equation:
w² + 2w - 120 = 0
Solving for w using the quadratic formula:
Factor the left side of the equation.
(w − 10)(w + 12) = 0
w − 10 = 0 or w + 12 = 0
w = 10 or w = − 12
Since width cannot be negative, the width is 10 feet.
Length = w + 2 = 10 + 2 = 12 feet.
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Janet wants to solve the equation y + StartFraction y squared minus 5 Over y squared minus 1 EndFraction = StartFraction y squared + y + 2 Over y + 1 EndFraction. What should she multiply both sides of the equation by?
Answer:
Step-by-step explanation:
The message is very cryptic like. The thing did not change like you wanted it to. Also, sorry for wasting ur points.
Here is an input-output rule write 1 if the input is odd write 0 if the input is even
-3
-2
-1
0
1
2
The output of the given values that is -3,-2,-1,0,1,2,3 are 1,0,1,0,1,0,1 respectively.
What is Even and Odd numbers ?
Even numbers are if the numbers divisible by 2 and if it is not divisible by 2 than it is odd number.
Given ,
Here is an input-output rule write 1 if the input is odd write 0 if the input is even .
So, here we have to write outputs according to the given inputs.
And here inputs are -3,-2,-1,0,1,2,3
As -3 is odd, so the output could be 1
As -2 is odd, so the output could be 0
As -1 is odd, so the output could be 1
As 0 is odd, so the output could be 0
As 1 is odd, so the output could be 1
As 2 is odd, so the output could be 0
As 3 is odd, so the output could be 1
Hence, The output of the given values that is -3,-2,-1,0,1,2,3 are 1,0,1,0,1,0,1 respectively.
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9. Ignacio can type 55 words per minute (wpm). In 5 minutes, she types 285 words. How many errors would you expect her to make?
10. If Alexis types 300 words in 5 minutes with 5 errors, what is his typing speed?
11. Johanna receives a report that says her typing speed is 65 words per minute. She knows that she made 4 errors in the 5-minute test. How many words did she type in 5 minutes?
I'd anticipate her to make the following number of mistakes: 10 mistakes.
How to find the calculation?Given that it is stated that the individual can write 285 words in five minutes, a division is carried out to determine the real word count per minute.
285 / 5 = 57 wpm
The amount of misspelled words per minute is calculated using a subtraction as it was previously stated that she wrote at a rate of 55 wpm:
57 - 55 = 2
Given that the individual misspells two words per minute, this figure is multiplied by the duration of the measurement (5 minutes) as follows:
2 X 5 = 10
10 misspelled words every five minutes, or two misspelled words each minute.
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Solve asap I really need the answer!
Answer: 1331
Step-by-step explanation:
11^3 = 121 * 11 = 1331
(Look at picture) and ty btw <3
y <= - 3x - 1 y <= - x - 4 is the graph represents system of inequalities.
What influences an inequality's shading?Shading: You will shade below the boundary line if the sign in a linear inequality is (less than) or (less than or equal to). You will shade over the boundary line if the sign in a linear inequality is > (greater than) or (greater than or equal to).The end of the solution is frequently referred to as this point. The inequality larger than or equal to () or less than or equal to () is represented by a closed, or shaded, circle. The solution includes the destination. For larger than (>) or less than (), use an open circle.
y <= - 3x - 1 y <= - x - 4 is the graph represents system of inequalities.
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Customer comes in and buys $10 worth of gas and $15.48 in merchandise they pay with a $50 bill
A pan of brownies was left
Answer:
i don't know i am ayush
kal
ajakka
kakka
(Look at picture) and ty btw <3
Answer: d
Step-by-step explanation:
To solve this question, you have two methods.
One is graphing the inequalities and finding the points that match them, and the other is plugging the values of the points into the inequalities and checking to see if it is true or false.
I chose the latter method for convenience's sake.
The inequalities show that
y<-2x+10
y<1/2x-2
Since this is a multiple-choice question, we only need to plug in the values of the choices. For a student's response question, you'll need to plug in all the points if you use this method.
Let's plug in I.
I is located at (9,3).
So if you plug in the values,
3<-2*9+10 is false.
So a is false.
Next, B.
B is located at (4,7).
7<-8+10 is false.
So b is false.
Next, A.
A is located at (-5,4)
4<10+10 is true.
4<1.2*(-5)-2 is false.
So the answer is d.
45>32m–19 what is m on a number line
m<2 is on the number line of the inequality 45>32m–19
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 45>32m–19
Forty five greater than thirty two times of m minus nineteen
m is the variable in the inequality
45>32m–19
Add 19 on both sides
64>32m
Divide both sides by 32
2>m
m<2
Hence, m<2 on the number line of the inequality 45>32m–19
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2x-3y+4=0 Rewrite the equation in simplified slope-intercept form
The equation in simplified slope-intercept form is y = (2/3)x + 4/3.
What is the slope-intercept form of the line?
The slope-intercept form is a way of writing a linear equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.
To rewrite the equation 2x-3y+4=0 in simplified slope-intercept form, we need to rearrange the equation to get y by itself on one side of the equation.
To do this, we can add 3y to both sides of the equation:
2x + 4 = 3y
Then we can divide both sides by 3:
(2/3)x + 4/3 = y
Now we have the equation in the form of y = mx + b, where m is the coefficient of x, which is (2/3) and b is the constant term on the right side, which is 4/3.
Hence, the equation in simplified slope-intercept form is y = (2/3)x + 4/3
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find the area of the figure below (sides meet at right angles)
Answer:
d² + df + dg + dh = d(d + f + g + h)
Step-by-step explanation:
Lower rectangle:
length = f + d + h
width = d
Upper rectangle:
length: d
width: g
total area:
d(f + d + h) + dg =
= df + d² + dh + dg
= d² + df + dg + dh
= d(d + f + g + h)
how would I write an equation?
and what would my x and y represent?
The equation is x + y=z. X represents the number of hours for tutoring, and Y represents the total cost for the tutoring session. The equation does not represent direct variation, as the hourly rate is a fixed rate, not a variable rate.
How to write an equation for any data? To write an equation for any given data, first identify the independent and dependent variables in the data set. The independent variable is the variable that is changed or manipulated, while the dependent variable is the variable that is observed or measured. Once the independent and dependent variables have been identified, the equation can be written using the dependent variable in terms of the independent variable. For example, if the data set contains a set of values for the independent variable x and the corresponding values for the dependent variable y, then the equation can be written as y = f(x). The function f(x) represents the relationship between the two variables and can be determined by plotting the data points and finding the best fit line or curve. This line or curve is the equation that describes the data set.To learn more about equation refer to:
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You bought a STRIP at 96 dollars with maturity of 3 years. Calculate the yield to maturity of this STRIP
The yield to maturity of this STRIP is 1.36%
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Current price = $96
Par Value = $100
Time to Maturity = 3 years
Semiannual Period = 3 × 2 = 6
The yield to maturity of this STRIP will be calculated as:
Let the semiannually yield to maturity be represented by y.
96 = 100/(1 + y)⁶
Cross multiply
96(1+y)⁶= 100
Divide both side by 96
(1+y)⁶= 100/96
(1+y)⁶= 1.0417
1 + y⁶ = 1.0417
y⁶ = 1.0417 - 1
y⁶ = 0.0417
y = 0.0068
Therefore, the semiannual YTM = 0.0068
Annual YTM will now be:
= 2 × Semiannual YTM
= 2 × 0.068
Annual YTM = 0.0136
Hence, the yield to maturity of this STRIP is 1.36%
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Find the missing angle measures.
Answer: P= 30° & R= 60°
Step-by-step explanation:
First, you should find angle "R" as it helps find angle "P"
therefore:
R= 180°- 120°(angles on a straight line add up to 180°)
= 60°
P= 180°- ( 90°+ 60°) (Angles of a triangle add up to 180°)
= 180°- 150°
= 30°
Points (1, 2), (3, 6), and (6, 4) are three vertices of a parallelogram. How many parallelograms can be created using these three vertices? Find the coordinates of each point that could be the fourth vertex.
By using these three vertices we can make three parallelograms.
And, The coordinates of each point that could be the fourth vertex is,
(4, 0)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
Points (1, 2), (3, 6), and (6, 4) are three vertices of a parallelogram.
Cleary, There are three ways we can connect them and that gives us the first angle of a parallelogram. That means there are three parallelograms we can make given three vertices.
And, The coordinates of each point that could be the fourth vertex is,
⇒ (x, y) = (1 - 3 + 6, 2 - 6 + 4)
= (4, 0)
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Multiply 5•1/3•1•5/6 simplify the answer and write as a mixed number
Answer:
1 7/18
Step-by-step explanation:
This is the actual problem that is posted:
5 • 1/3 • 1 • 5/6 =
= 5/1 • 1/3 • 1/1 • 5/6
= 25/18
= 18/18 + 7/18
= 1 7/18
The Problem
The population of a small mining town is given in the table below:
Year
1990 1993 1996 2000 2004 2008 2012
Population 4000 3010 2400 1950 1625 1400 1220
The decline in population is said to follow a logarithmic model where x = 1
represents the year 1990, x= 2 represents 1991, and so on.
U
Si l
M
wwwww
1. Using a regression equation, estimate the population in 1995.
WAST
*****
2. An ore deposit is found near the town and experts forecast the
population will increase exponentially and reach 4000 again in 10 years.
a) Find an exponential equation that models this growth.
b) By what percent must the population increase each year for the
population to reach 4000 by 2022?
I
The resolution was found by the 13, or 13.3% over the ensuing ten years, and The example regression function is an equation that depicts how the variables Y and X are related (s)
How do you estimate the population regression model?[tex]$\begin{aligned} & Y_i=f\left(X_i, \beta\right)+e_i \\ Y_i & =\text { dependent variable } \\ f & =\text { function } \\ X_i & =\text { independent variable } \\ \beta & =\text { unknown parameters } \\ e_i & =\text { error terms }\end{aligned}$[/tex]
Year : 1990 1993 1996 2000 2004 2008 2012
Population : 4000 3010 2400 1950 1625 1400 1220
It is said that the population fall follows a logarithmic model, where x=1 corresponds to the year 1990, x=2 to the year 1991, and so on.
Along with the population, a table describing a tiny mining town's dwindling population is provided. The term "logarithmic model" refers to a model where x is 1 and symbolizes the year 99 on x is 1991. As we search for a solution, let's employ the regression equation.
The progression is used to project the population in 1995, and I'm going to use a calculator to do it. This wasn't a but a 1, and then this is 2, and then this is 3, and then this is 4, and then this is 5, and then this is 6, and then this is 7, and then this is 8, and then this is 9. By the.13, or 13.3% over the following ten years, the solution was found.
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I need help with these problems
x is 3 seconds which means after 3 seconds the water in each balloon is equal.
What is an equation?A condition on a variable (or variables) that ensures that two expressions in the variable (or variables) have the same value is known as an equation. • The solution or root of the equation is the value of the variable for which the equation holds true. • If the LHS and RHS are switched, an equation doesn't change.An equation is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.Given data :
a ) Jude = y = 5x ( y is m∠s )
Ian = y = 45 - 10x
c ) y = 5x
y = 45 - 10x
5x = 45 - 10x
15x = 45
x = 3
x is 3 seconds which means after 3 seconds the water in each balloon is equal.
Here I attached the drawing of graph
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Problem No. 9 Each of the letters in the multiplication sum below represents a digit: 7A times B5 C90 DE20 = F5GH What is the value of A+B+C+DE+F+G+H?
look at pictured attached to understand better
The value of A+B+C+D+E+F+G+H = 5+11+1+1+3+1+1+0 that is equals to 23.
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables and constants.
Given ,
Each of the letters in the multiplication sum below represents a digit: 7A times B5
C90 DE20 = F5GH
Than we have to find
the value of A+B+C+D+E+F+G+H =
From first expression ,
7A times B5 = C90
From this we can say that A = 5 as
last digit in C90 is 0
so,
75 + B5 = C90
if C=1
75+B5 = 190
B5 = 190 - 75
B5 = 115
B = 11
And
C90 + DEF20 = F5GH
190 + DEF20 = F5GH
H = 0
G = 1
F = D
that is F=1
D = 1
E = 3
So, the value of A+B+C+D+E+F+G+H = 5+11+1+1+3+1+1+0 that is equals to 23.
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Graph this line using the slope and y-intercept:
y=1/8x+6
A graph of this line using the slope and y-intercept for the linear equation y = 1/8x + 6.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:
y = mx + c
Where:
m represents the slope.x and y are the data points.c represents the y-intercept.Based on the information provided, we have the following parameters;
Slope = 1/8
y-intercept = 6.
Next, we would use an online graphing calculator to plot the given equation as shown in the image attached below.
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Explain why, when you roll a normal dice, the probability of getting a 2 1/6?
.