A truck that transports refrigerators has a storage compartment 12 feet high by 9 feet wide by 51 feet long. Each refrigerator takes up 54 cubic feet. How many refrigerators can be packed on the truck if there is no wasted space?


Enter a unit that best describes the number.

Answer: AB=20, BC=14

Step-by-step explanation:

set AB together with the side congruent to it (which is DC)

3x-7=x+11

subtract x and add 7 to both sides

2x=18

divide both sides by 2

x=9

plug 9 in for AB.

3(9)-7

27-7=20.

now do the same for BC

Answer:

AB = 20

BC = 14

Step-by-step explanation:

ABCD is a parallelogram

Opposite sides of a parallelogram are equal.

Therefore,

AB = DC

3x - 7 = x + 11

3x - x = 11 + 7

2x = 18

x = 18/2

x = 9

AB = 3x - 7 =3*9 - 7 = 27 - 7 = 20

7y - 7 = 3y + 5

7y - 3y = 7 + 5

4y = 12

y = 12/4

y = 3

BC = 7y - 7 = 7*3 - 7= 21 - 7 = 14

Answer:

x = 2√3

Step-by-step explanation:

The sides of a 30-60-90 triangle are always in the ratio 1:√3:2.

The length of the side opposite the 90° angle is 4, so the length of the side opposite the 30° angle is 2 and the length of the side opposite the 60° angle is 2√3.

x = 2√3

Answer:

There is no solution for either variable without further information, as there are two variables given, but only one relationship between them.

You could however use them as a description of a line, which gives every possible solution.

35x - 7y = 49

7y = 35x - 49

y = 5x - 7

We now have an expression describing a line with a slope of five, which crosses the y axis at (0, -7) and the x axis at (1.4, 0)

Answer:

12

Step-by-step explanation:

you have to times 2 x 6 to find your x

I'm not for sure tho but I hope it's right

Answer:

1 hour/ 34 minutes

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

D. y = -3x

Step-by-step explanation:

plug x into the equation:

y = -3(-4) = 12 (s0 when x = -4, y = 12)

y = -3(-3) = 9

y = -3(-2) = 6

y = -3(-1) = 3

Answer:

(C)DC = 6 StartRoot 3 EndRoot in.

(D)AC = 12 StartRoot 3 EndRoot in.

Step-by-step explanation:

Answer:

3.1 * 10^10

Step-by-step explanation:

we know 1 billion is 1,000,000,000

In scientific notation

1,000,000,000=1 * 10^9

To find the value of 31 Billion

Multiply the value of one billion for 31

so

31 * 1 * 10^9  = 31 * 10^9

= 3.1 *  10^10

Answer:

1. 24+5*14/2=

step 1. 24+5=29

step 2: 14/2=7

step 3: 29*7=59!

2. 200/4*6=

step 1: 4*6= 24

step 2: 25/200= 300!

Step-by-step explanation:

hope this helps did step by step explanation! brainliest?

1. 24+(5×14)÷2

=24+70÷2

=24+35

=59

2. 200÷4×6

=50×6

=300

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

7+2=9

7 puzzles

7 puzzles

Answer:

1) 3x - 15y = 5

2) 6x - 21y = 7

Step-by-step explanation:

standard form:  Ax + By = C

1) y = 1/5x + 1/3

multiply each side by 15 to eliminate fractions: 15y = 3x + 5

final form: 3x - 15y = -5

2) y = 2/7x - 1/3

multiply each side by 21 to eliminate fractions: 21y = 6x - 7

final form: 6x - 21y = 7

Answer:

The rate of change of a linear function = 5/4

Step-by-step explanation:

Given that a linear function includes the points (2, 3) and (6, 8).

So we have the points

We know that the rate of change of a function is also termed as the slope of the function.

In other words, the slope of the linear function gives us the rate of change of the linear function.

Thus,

Determining the rate of change or slope between (2, 3) and (6, 8)

Using the formula

Rate of change = Slope =  [y₂ - y₁] /  [x₂ - x₁]

                                       =  [8 - 3 / [6 - 2]

                                       = 5 / 4

Thus, the rate of change of a linear function = 5/4

Answer: This answer is 1

Step-by-step explanation: Plzz mark brainliest - Lily ^_^

Answer:

Yes

Step-by-step explanation:

If you subsitute for x, x will only repeat if it has the same y value.

Yes, The given relation is a function.

Here,

The relation is given as; Y = 3x

We have to find the given relation is a function or not.

What is Function?

A relation is said to be function if there is exactly one value for each value of y.

Now,

The given relation is,

Y = 3x

When, we put x = 1 then y = 3

And, when x = 2 then y = 6 and so on.

Clearly, there is exactly one value of x for value of y.

So, The given relation is a function.

Learn more about the function visit:

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Answer:

The answer is 1/36

Step-by-step explanation:

Step one:

Given data

sample space= $1, $2,$5,$10,$20,$50

sample size= 6

Required

The probability of choosing 20 and 10 dollar bill

Step two

The probability is

1/6*1/6= 1/36

Answer:

88.16

Step-by-step explanation:

You will have to use tan to solve it

The value of x round to the nearest tenth is,

⇒ x = 85

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Base of height = 500

Angle = 10°

Now, We can formulate;

⇒ tan 10° = x / 500

⇒ 0.17 = x / 500

⇒ x = 85

Thus, The value of x round to the nearest tenth is,

⇒ x = 85

Learn more about the triangle visit;

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Answer:

true

Step-by-step explanation:

Answer:

[tex]x=2,\\x=-2,\\x=\sqrt{3},\\x=-\sqrt{3}[/tex]

Step-by-step explanation:

This is a quadratic in disguise. Let [tex]n=x^2[/tex]. We can rewrite the problem as a quadratic to solve:

[tex]n^2-7n+12=0,\\(n-3)(n-4)=0,\\n=3,\: n=4[/tex].

Now plug in these values of [tex]n[/tex] to solve:

[tex]\begin{cases}x^2=4, \:x=\pm 2\\\\x^2=3, x=\pm\sqrt{3}\end{cases}[/tex].

Therefore, our solutions are [tex]x=\pm 2, \:x=\pm\sqrt{3}[/tex].

Answer:

Step-by-step explanation:

3. 6 in squared (a)

4. 25 cm squared (d)

ols mark brainliest if it helped!!!

Answer:

2 hours and 36 minutes

Step-by-step explanation:

156/60 hours=2.6 hours. i.e. it takes her 2 hours and 36 minutes to reach from Rotherham to London

Answer: 844.131607

Step-by-step explanation:

750/100=7.5

7.5 is 1%

22.5 is 3%

YEAR 1 (750+22.5) 772.5

772.5/100

7.725 is 1%

23.175 is 3%

YEAR 2 (23.175+772.5) 795.675

795.675/100

7.95675 is 1%

23.87025 is 3%

YEAR 3 (23.87025+795.675) 819.54525

819.54525/100

8.1954525 is 1%

24.5863575 is 3%

YEAR 4 (24.5863575+819.54525) 844.131607

:D Done! Please give me brainliest! It took alot of time for me to do this!

Answer:

6

Step-by-step explanation:

20 times 0.3 is 6

Answer:

reduced by 20% so that means it is going to be 20% cheaper. You need to take off 20% of $60

20% is 0.2

of in math ALWAYS means multiply

0.2 X 60 = 12

You get 12 off  

60 - 12 = 48

the new price is $48.00

Here is another way. You get 20 % off and that leaves 80% that you have to pay.

80% of 60  

= 0.8 x 60

= 48

You pay $48.00

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Unit prices come from dividing the price, $6.99, by the amount of product, 6,

6.99 ÷ 6 = 1.165

Now, because you cannot have more than two digits in the cents part, you would round that up to $1.17 which is over $1.05 dollars per bottle.

Answer:

a = 29.445 and b = 17

Step-by-step explanation:

Hope this helped! Please mark me as brainliest if you can!