Cara has driven one-fifth of the total distance, d, to her destination.


Which statement explains why both 1/5d and 0.2d can find the distance she has driven?




Multiplying by 1/5 is the same as multiplying by 20%.

Multiplying by 1/5 is the same as multiplying by 2%.

The fraction 1/5 is the same as the decimal 0.8. Therefore, 1/5d can be written as 0.8d.

The expressions are not equivalent.

Answer:

x+y

Step-by-step explanation:

It is x+y because if you look at (x-y) and (y-x) they can cancel with each other since x- x and -y+y. All that's left is x+y

Answer:

(D) The bottom graph, and (A) The top table.

Step-by-step explanation:

The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.

From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.

For table A:

x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1

x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0

x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1

x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2

x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3

Since the table matches up with the inputs and outputs of the table, it is a correct answer.

For table B:

x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5

x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7

x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9

x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11

x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13

5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.

Graph C:

Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.

Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.

x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.

But the x intercept doesn't match up as shown here.

y = 0 → y = x + 2 → (0) = x + 2 →

0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1

When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.

✓ Table A: y = x + 2

× Table B: y = 2x – 1

× Graph C: y = 2x + 2

✓ Graph D: y = x + 2

Answer:

2

Step-by-step explanation:

To find out how big the wall is you do 32 times 9 which equals 288.

2 gallons of paint covers 300 feet. You will have left over but that is ok.

Answer: A

Step-by-step explanation: Every hour the temperature goes down 2 degrees and the h wouldn't go on the 32! Good luck! :D

Answer:

C. t = –4h + 21

Step-by-step explanation:

We know that when h = 0, t = 21°F. Replacing h = 0 in  equation A and D we get:

A.

t = 21h + 4

t = 21(0) + 4

t = 4

D.

t = –21h + 4

t = –21(0) + 4

t = 4

So, none of them are correct.

The temperature drops 4 degrees every hour, this means that for h = 1 then t = 21 - 4 = 17. Replacing h = 1 in  equation B and C we get:

B.

t = 4h + 21

t = 4(1) + 21

t = 25

C.

t = –4h + 21

t = –4(1) + 21

t = 17

In consequence, C is the correct option.

Answer:

The answer would be 6

Answer:

4 √b

Step-by-step explanation:

It was on Khan, I have no clue what I'm doing

Answer:

15,400,000

Step-by-step explanation:

Calculator

Answer:

If you mean he starts at 1 on the Y axis (vertical line), then the answer is (1, 3). If you mean he starts at 1 on the X axis (horizontal line), then the answer is (0, 4)

Answer:

4 and 4 away

Step-by-step explanation:

If you start at one on the number line and go to the right you'll end up on 4 because if you start from one and then add 3 that equals 4.

Now if you were to figure out how FAR he is away from 0 you have to start at for and figure out what number you have to minus 4 by to get zero which is 4 because 4-4=0

Hope this helps :)

Answer:

The simple interest is $30

Step-by-step explanation:

To find this, we use the simple interest formula

Mathematically, this is;

I = PRT/100

P is the principal = $200

R is the rate = 5%

T is the time = 3 years

Substituting these values, we have;

I = (200 * 5 * 3)/100

I = $30

Answer:

The number is 5 as 5x12=60 60-13=47

Answer:

The x- and y-coordinates are switched.

Step-by-step explanation:

Given that:

Point L plotted by Raj is in a coordinate plane.

Point L is 1.5 units to the left and is 4 units up.

As per Raj, the point is (4, -1.5).

Kindly refer to the general coordinate plane diagram in the answer area.

The origin is at (0,0) which is our reference point for plotting any point.

When we move left on the coordinate plane from origin, the [tex]x[/tex] coordinate will decrease i.e. will become negative.

When we move right on the coordinate plane from origin, the [tex]x[/tex] coordinate will increase i.e. will become positive.

When we move down on the coordinate plane from origin, the [tex]y[/tex] coordinate will decrease i.e. will become negative.

When we move up on the coordinate plane from origin, the [tex]y[/tex] coordinate will increase i.e. will become positive.

Now, as per question statement, 1.5 units to the left.

i.e. [tex]x[/tex] = -1.5

4 units up.

i.e. [tex]y[/tex] = 4

Therefore, the point will be (-1.5, 4).

So, the answer is:

The x- and y-coordinates are switched.

Answer:

-x -y changed

lolololol

Step-by-step explanation:

Answer:

its B, A, C

Step-by-step explanation:

correct on edge

Step-by-step explanation:

f(x) = a * b^x

We have the following information:

f(0) = a * b^(0) = 15. => a * 1 = 15, a = 15.

f(1) = a * b^(1) = 9. => a * b = 9, (15) * b = 9, b = 0.6.

Hence f(x) = 15 * 0.6^x.

Answer:

125

Step-by-step explanation:

5³ = 5 · 5 · 5 = 125

Answer:

125

Step-by-step explanation:

(5)^3 = 5*5*5

5*5*5= 25*5= 125

Hope it helped :))

Answer:

An equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]

Option A is correct.

Step-by-step explanation:

A circle in the xy-plane has centre (5,7) and radius 2. Which of the following is an equation of the circle.

The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.

We have centre (5,7) so, we have h = 5 and k = 7

We have radius = 2 so, r = 2

Putting values in the equation and finding the required equation:

[tex](x-h)^2+(x-k)^2=r^2\\(x-5)^2+(x-7)^2=(2)^2\\(x-5)^2+(x-7)^2=4[/tex]

So,  an equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]

Option A is correct.

Answer: C. The interquartile range (IQR) for town A, 15°, is less than the IQR for town B, 20°

Step-by-step explanation:

Picture

Answer:

C

Step-by-step explanation:

Answer:

i think c

Step-by-step explanation:

Answer:

(x – 8)2 + (y – 10)2 = 36

Step-by-step explanation:I took the test

The equation of a circle with center at  [tex](8, 10)[/tex]  and radius [tex]6[/tex] will be  

[tex](x-8)^2+(y-10)^2=36[/tex]  which is given in option [tex](3)[/tex] .

Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where  [tex](h,k)[/tex]  is the center and  [tex]r[/tex]  is the radius.

We have,

The center at  [tex](8, 10)[/tex]  and radius is [tex]6[/tex] .

i.e.

[tex]h=8[/tex]

[tex]k=10[/tex]

[tex]r=6[/tex]

So, using the above given equation,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Putting the above values in this equation

We get,

[tex](x-8)^2+(y-10)^2=(6)^2[/tex]

i.e.

[tex](x-8)^2+(y-10)^2=36[/tex]

This is the equation of a circle which is derived using the above given equation.

Hence, we can say that the equation of a circle with center at  [tex](8, 10)[/tex]  and radius [tex]6[/tex] will be [tex](x-8)^2+(y-10)^2=36[/tex]  which is given in option [tex](3)[/tex] .

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Answer:

4/7

Step-by-step explanation:

Answer:

4/7 ounces of butter makes a pound of jello

Step-by-step explanation:

7 times 4 is 28, so 4/28 ounces of butter for 7/28 pounds of jello. so 4/28 times 4 is 16/28. 16/28 is our answer, then simplified is 4/7. Thats how we get our answer.

Answer:

see explanation-

Step-by-step explanation:

6 bagles is $2.50

and the the amount of bagles for $50 is 40 as 4*12 = 48

Answer:

1. $2.50

2. should be 120 bagels

Step-by-step explanation:

Answer:

median: 44

first quartile: 25

third quartile: 61.5

interquartile range: 36.5

Step-by-step explanation:

For the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.

The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.

Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1

The given date set is 28,46,25,76,18,25,47,83,44.

The data in order 18,25,25,28,44,46,47,76,83.

Here,

Median =44

First quartile=Q₁=25

Third quartile=Q₃= (47+76)/2

= 61.5

Now, interquartile range (IQR)

= Q₃-Q₁

= 61.5-25

= 36.5

Therefore, for the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.

Learn more about the interquartile range here:

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Answer:

3 pages/minute

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

a hour is 60 minutes so half of that is 30 30÷90=3

x-7 Is how you simplify

Positive form is 1/x/7