7.
a) What is the slope of the line?
(a, 9)
(6,6)
6
b) What is the value of a in the point (a, 9)
I
8.

Answer:

Step-by-step explanation:

It would be wiser for the couple to stay in the old apartment and save $1400.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,

If they leave, they'll have to forgo $1000.

If they move to their new apartment, they'll pay $900 x 6 = $5400

total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.

It would be wiser for the couple to stay in the old apartment and save $1400.

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Answer:

10.4%

Step-by-step explanation:

138000-125000=13000

13000/125000 × 100 = 10.4

0.5 or 50% because there are 12 tiles and 6 are green. 6/12 probability simplifies to 1/2 = 0.5 = 50%

The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.

The ratio refers to the relative size of one quantity compared to another.

The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction.  We can also express the ratio in its standard form (:).

Given   Sum of     Equivalent

Ratio     Ratios          Ratios

5/36        36         13.89% or 0.1389

2:9           11          18.18% or 0.1818

3 to 18     21          14.28% or 0.14.28

1:3            4           25% or 0.25

Thus, we can conclude that 1:3 is the largest ratio amont the others.

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Answer:11

Step-by-step explanation:

The diagram illustrating the given scenario is shown below

The height of the flagpole is represented by h. We can see that the figures are similar. Thus, the possible proportions that could be used to solve for the height of the flagpole is

h/60 = 5'6''/4'

We would convert 5 feet, 6 inches to feet. Recall,

1 foot = 12 inches

then, 6 inches would be 6/12 = 0.5 foot

The height of the woman is 5 feet + 0.5 foot = 5.5 feet

Thus, the required proportion is

h/60 = 5.5/4

Answer:

Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

You need to end up a mixture that is 60% antifreeze.

You have 90 gallons of 25% antifreeze, which means it has .25*90 = 22.5 gallons of pure antifreeze mixed with a solvent (probably water).

.

You will add 'x' gallons of 70% antifreeze to make the 60% mixture.

So, at the conclusion, you will have (90+x) gallons  60% 'pure' antifreeze. That can be shown with the equation:

.

.25*90 + .7*x = .6*(90+x)

.

Multiply by 100 to eliminate fractions.

.

25*90 + 70x = 60(90 +x)

.

2250 + 70x = 5400 + 60x

.

10x = 5400 -2250

.

10x = 3150

.

x = 315 gallons of 70% antifreeze.

.

How much will you end up having on hand?

90 + 315 = 405 gallons

.

If it is 60% antifreeze, how much 'pure' antifreeze will be in the mixture?

.6*405 = 243

.

In the original 90 gallons, you have 22.5 gallons of pure antifreeze.

In the additional 315 gallons, you have .7*315 = 220.5 gallons.

22.5+220.5 = 243 gallons

Step-by-step explanation:

The best estimate of how much she will spend on movies and eating out is given as follows:

$162.

The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.

The percentages associated with movies and eating out are given as follows:

The amount that she has left is given as follows:

$300.

Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:

(0.3 + 0.24) x 300 = 0.54 x 300 = $162.

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Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.

According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:

First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):

9 ÷ 6 = 1.5

This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:

1.5 ÷ 1 = 1.5

(teaspoons of oil per 1 teaspoon of vinegar)

24 ÷ 1.5 = 16

(teaspoons of vinegar needed)

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Answer:

The new median would be 15.

Step-by-step explanation:

This is because the median means the middle number so we can cross out 2 and 25. Then cross out 6 and 23. Then cross out 7 and 21. Next, cross out 14 and 20. Since there is only one number left, 15, that number is therefore the median.

Answer:

List the numbers in order including 25

2,6,7,14,15,20,21,23,25

choose the number in the middle

15 has 4 numbers to the left and right so it is in the middle so it is the median

hope this helps

Step-by-step explanation:

Answer:119.3

Step-by-step explanation:

9.5*6=57

8.9*7=62.3

57+62.3=119.3

Answer:

(-4,3)

Step-by-step explanation:

Functions are points where there are no more than 1 y value for every x. points (-4,-3) and (-4,3) are points that make it not. function.

Answer:

2

Step-by-step explanation:

The x-coordinate of point (2, 9) is 2.

The distance from 0 to 2 on a number line is 2.

Answer: 2

Answer:

If you round it the 30. If not round 29.7

Step-by-step explanation:

Branliest plz :)

Based on the histogram, 13 students held their breath for greater than 12.5 seconds but less than 15.5 seconds.

In a first-grade class, students measured how long they could hold their breath. The results were shown on a graph called a histogram. To see how many students held their breath between 12.5 and 15.5 seconds, we need to look at the bars on the graph between those times. The number of students is shown by the height of each bar.

We can see that there are 2 students who held their breath between 12.5 and 13.5 seconds. There are 5 students who held their breath between 13.5 and 14.5 seconds. And there are 6 students who held their breath between 14.5 and 15.5 seconds. To find out the total number of students, we add the heights of the bars together.

So:

Hence, there are 13 students who held their breath between 12.5 and 15.5 seconds.

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Answer:

student a because the line has a negative slope not a positive slope

Step-by-step explanation:

Answer:

Gretta's Contribution = $52,500

Interest = $125,588.79

Step-by-step explanation:

Gretta contributes $125 each month, for 35 years. Therefore, to find the amount she contributed, we multiply those pieces together (12 months in each year).

125 x 12 x 35 = $52,500

Therefore, over the 35 years, Gretta contributed $52,500.

If there was $178,088.79 in her account, and she contributed $52,500, then the rest is interest.

$178,088.79 − $52,500 = $125,588.79

There was $125,588.79 in interest earned on Gretta's account.

Since the line that we need to figure out is perpendicular to the one given, the slope of the line in question is going to be the opposite-reciprocal of the slope of the given line.

Slope of the given line = -12

Slope of the new line = \(\frac{1}{12}\)

We will use the point given and the new slope to determine the y-intercept using slope-intercept form.

\(4 = \frac{1}{12}(0) + b\\\\4 = 0 + b\\\\4 = b\)

Formula for this line

\(y = \frac{1}{12}x + 4\)

We can graph the lines to check our work.

Both lines are perpendicular.

Answer:

D

Step-by-step explanation:

A and D are both equidistant from the x- axis, that is

A is 3 units above the x- axis and D is 3 units below the x- axis

then the x- axis is the line of symmetry

Answer:

K5.60.

Step-by-step explanation:

Answer:

C; Basketball

Step-by-step explanation:

Although Greg Ridley wants to play for the Scorpions when he grows up, he learns along the way that there are things that are more important, hence the use of the term "treasure."

He learns from this that memories, friendships, and family are all that matters and if having to let go of basketball to sustain the aforementioned elements (which may or may not be an easy thing to do), then it is much more of a necessity than a choice.

Hope this helped! :D

Answer:

x+y=0

Step-by-step explanation:

x= 1.75

y= -1.75

x+y=0

Answer:

A. $130.50

B. 150%

C. 50%

Step-by-step explanation:

First, find 50% of 87 and add it to find the new price.

87 x 0.5 = 43.5

87 + 43.5 = 130.5

Then, find the percent by doing 130.5 ÷ 87, which is 150%

Calculate the percent increase by doing (130.5-87) ÷ 87, which is 50%

Answer:

see below

Step-by-step explanation:

First find the markup

87* 50%

87*.50

43.50

Add this to the wholesale price

87+43.50 =130.50

This is what they charge the customer

This is 150% percent of the wholesale price

100% + 50% = 150%

To find the percent increase

Take the new price and subtract the wholesale price

Then divide by the wholesale price

(130.50-87)/87 =50 % increase

Answer:

A. -2, 1

Step-by-step explanation:

Observe the chart and see where the f(x) and g(x) intersect.

When x=-2, f(-2)=g=(-2) and when x=1, f(1)=g=(1).

Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

The required sum is given as 6n + 12.

Integers can be defined as the set of counting numbers and their negative values along with zero. An integer can be written in the form of a fraction by writing the denominator as 1.

The given problem can be solved as follows,

The consecutive three even integers greater than 2n can be written as,

2n + 2, 2n + 4 and 2n + 6

Now, the sum of these integers are given as follows,

2n + 2 + 2n + 4 + 2n + 6

= 6n + 12

Hence, the sum of the next three consecutive even integer greater  than 2n is given as 6n + 12.

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Answer:

0.443 hours

Step-by-step explanation:

time = total distance / mph

time = 50 / 112.9094

time ≈ 0.443 hours

Answer:

0.443 hours

Explanation:

Given following:

Formula:

\(\sf time \ taken = \dfrac{distance}{speed}\)

Substitute values to find time taken:

\(\sf \rightarrow time = \dfrac{50}{112.9094 }\)

evaluate

\(\sf \rightarrow time = 0.4428329262\)

rounded to nearest thousandth

\(\sf \rightarrow time = 0.443\)