Marisa recorded the heights, in inches, of the 17 students in her homeroom. The data set
she gathered was 66, 63, 60, 55, 73, 59, 59, 63, 71, 61, 65, 64, 64, 69, 65, 66, 64. She
created a histogram to display the data. Which of the following are possible intervals she
could use in her histogram?
60-64, 65-69, 70-74
55-59, 60-64, 65-69, 70-74
60-69, 70-79
None of the other answers are correct
55-59, 60-66, 67-69, 70-74

Answer:

y+x=600

Step-by-step explanation:

Answer:

Step-by-step explanation:

first step : you put it in y form

y<600-x

then put the x so that the value of x+y do not exceed 600

since the sign is < and not ≤ then the line is dotted and not solid

Answer:

40%

Step-by-step explanation

12 is a 40% decrease of 20.

Steps:

Percentage of decrease = |20 - 12|/20 = 8/20 = 0.4 = 40

Answer:

40%

Step-by-step explanation:

Answer:

8.9 × 10^{4}

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.

Follow the steps below to see how 89,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 89,000

New Number: 8.9000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 8 . 9 0 0 0

Decimal Count: 1 2 3 4

There are 4 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.9 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

8.9 x 10^{4}

Step 4

Check your work:

10^{4} = 10,000 x 8.9 = 89,000

Answer:

-1

Step-by-step explanation:

Find the slope using the slope formula

m = (y2-y1)/(x2-x1)

    = (-3-5)/(6 - -2)

   = (-3-5)/(6+2)

   = -8/8

   = -1

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2,5) and (6,-3)

The slope is

[tex]m = \frac{ - 3 - 5}{6 + 2} = - \frac{8}{8} = - 1[/tex]

We have the final answer as

Hope this helps you

Answer:

4:3

Step-by-step explanation:

a+b = 7 units

a = 4 units

b = 7 - 4 units

Thus,

a:b

-----

4:3

(a+b) : a = 7:4

a = 4

a+b= 7

7- 4 = b

b = 3

Hope this will help....

Answer:

yes. ........ .........

Answer:

I'd say 1 smoothie per day

Step-by-step explanation:

Answer:

Try 0 or 1

Step-by-step explanation:

Scince the number before rounding is 4, try rounding it to 0 or 1.

Answer:

Step-by-step explanation:

2x - 2 ≤ 12

2x ≤ 14

x ≤ 7

Answer:

x=-3.5 or -3 1/2

Step-by-step explanation:

2(x+3)+7x=3(x-2)-9

2x+6+7x=3x-6-9

9x+6=3x-15

6x=-21

x=-3.5 or -3 1/2

Answer: 137 letters.

Step-by-step explanation:

The data is:

The number has 4 digits.

The number is a multiple of 5

The number is a multiple of 7

The last digit is a 0.

Then, let's find all the possible numbers that met these conditions.

Our number can be formed with 4 digits, A, B, C and D.

D is the last one, so we have  D = 0.

So the number is: ABC0

We know that all the numbers that end with 0 are multiples of 5, so that condition does not matter.

Now, a number is divisible by 7 if:

Take the last digit of the number, double it and subtract it to the remaining number, if the result is multiple of 7, then the initial number is a multiple of 7.

In this case the last digit is 0, so when we double it and subtract it, we actually are not changing the other 3 digits.

Then we have that:

ABC must be a multiple of 7.

So now our problem reduces to find the number of 3-digit numbers that are multiples of 7.

The first multiple of 7 that has 3 digits is:

7*15 = 105.

And the largest possible 3 digit number is 999, now let's try to divide it by 7 to see if this is also a multiple of 7.

999/7 = 142.7

the quotient is not integer, so 999 is not a multiple of 7.

The next option is 998, we can do the same here:

998/7 = 142.6

And so on, we will find that the largest 3 digit multiple of 7 is:

994, such that:

7*152=994.

Then we have:

Smallest: 7*15 = 105

Largest: 7*152 = 994.

Then the number of multiples of 7 between 999 and 100 will be equal to the difference between the quotients between the multples and 7.

105/7 = 15

994/7 = 152

152 - 15 =  137

So we have 137 multiples of 7 with 3 digits.

Then we have 137 4-digit numbers, that end with a zero and also are divisible by 5 and 7.

So John must send 137 letters if he wants to be shure that Peter will get the card.

Answer:

8/25

Step-by-step explanation:

0.32 as a fraction is 8/25

Answer:

Its 8/25

Step-by-step explanation:

Answer:

(-2,-6) is your answer..

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

Step-by-step explanation:

2X + 1 + 3X - 2 + 4X - 5 = 180

9X - 6 = 180

9X = 174

9   =   174

ـــــــــــــــــــــ

9         9

X = 19.333

The perimeter of the triangle in terms of x given the three side lengths is  9x - 6.

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees.

The perimeter of a triangle = sum of the side lengths

(2x + 1) + (3x - 2) + (4x - 5) = 9x - 6

To learn more about triangles, please check: https://brainly.com/question/22949981

#SPJ2

Answer:

1/9 = 0.111

2/9 = 0.222

Step-by-step explanation:

1/9 = 0.111

2/9 = 0.222

Answer:

Step-by-step explanatioN

1/9 = WE DIVIDE 1 ÷  9 WE GET 0.1111111111

0.1111111111 TO ONE SIGNIFICANT FIGURE = 0.1                  

    TWO SIG.FIG = 0.11                  T

HREE SIG.FIG 0.111

2/9= WE DIVIDE 2 BY 9 WE GET 0.22222222

SO WE ROUND TO ONE SIG .FIG.

RATE ME AND THANK ME

Answer:

x=7, x=3

Step-by-step explanation:

             [tex]x^{2} -8x+14=2x-7[/tex]

[tex]x^{2} -8x-2x+14+7=0[/tex]

            [tex]x^{2} -10x+21=0[/tex]

[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}[/tex]

[tex]x=[/tex] [tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

positive

[tex]x=\frac{-\left(-10\right)+\sqrt{\left(-10\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}[/tex]

[tex]x=7[/tex]

negative

[tex]x=\frac{-\left(-10\right)-\sqrt{\left(-10\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}[/tex]

[tex]x=3[/tex]

Answer:

5.830951

Step-by-step explanation:

The area of a square is

A= s^2

Substituting the number 34 into Area we will have

34=s^2

Rationalize.

The number you will get is around 5.830951

Answer:

y=-3/2x+3

Step-by-step explanation:

The slope is -3/2x because it's going down 3 and to the right 2.

And it intercepts the y-axis at 3. Thus, 3 is the y-intercept.

Answer:

y = -3/2 x +3

Step-by-step explanation:

We can use the slope intercept form

y = mx+b where m is the slope and b is the y intercept

The y intercept is 3

Now to find the slope

Pick two points on the line

( 0,3) and ( 2,0)

m = ( y2-y1)/(x2-x1)

   = ( 0-3)/(2-0)

   = -3/2

The equation of the line is

y = -3/2 x +3

Answer:

12

Step-by-step explanation:

2 2/5 * 5 = 12

Answer:

12

Multiply the equation.

2 2/5 x 5 = 12.

2 x 5 = 10.

2/5 x 5 = 2.

Add 10 + 2. You get 12.

Answer:

3.75, Terminating

Step-by-step explanation:

To answer this, we simply have to find what 3/4 is as a decimal. So, we know that in order to make 4/4, or 1, we need 4 parts. Let's say that 4/4 would equal 100, so we need to divide 100 into 4 parts:

100 / 4 = 25

Now, to find what 3/4 is, all we have to do is multiply 25 by 3:

25 * 3 = 75

And that is our decimal form, we just need to add the 3:

3.75, and since .75 doesn't keep on repeating, it just stops at .75, this is a terminating decimal

Hope this helps! :)

Answer:

3

Step-by-step explanation:

If she uses 1 cup of sugar every time she makes blueberry muffins and there are only 3 cups of sugar, she can only make her recipe for blueberry muffins 3 times before her sugar runs out