Jamal wrote the inequality x 16 ≤ 6 . Which situation is best represented by this inequality? A. Jamal divided x pieces of paper among 16 students, and each student received fewer than 6 pieces of paper. B. Jamal placed x cards in 16 stacks, and there were no more than 6 cards in each stack. C. Jamal separated x shirts into 6 stacks, and each stack had at least 16 shirts. D. Jamal shared 16 markers with x classmates, and each classmate had fewer than 6 markers

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:

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.

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Answer:

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

hope this helped you

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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:

Step-by-step explanation:

2x - 2 ≤ 12

2x ≤ 14

x ≤ 7

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:

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:

Try 0 or 1

Step-by-step explanation:

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

Answer:

I'd say 1 smoothie per day

Step-by-step explanation:

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:

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:

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:

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:

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:

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:

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:

8/25

Step-by-step explanation:

0.32 as a fraction is 8/25

Answer:

Its 8/25

Step-by-step explanation:

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

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....