A shipping box has the dimensions shown. What is the volume of the box in cubic yards?
À yard
yard
yard
Not drawn to scale.
1
yo
16 Yd3
32 Yd3
20 Y3

Answer:[tex]V=168\ units^3[/tex]

Step-by-step explanation:

Given

Length of Prism [tex]l=6\ units[/tex]

Height of prism [tex]h=7\ units[/tex]

width of prism [tex]b=4\ units[/tex]

Now Volume of a prism is given by

[tex]V=l\times b \times h[/tex]

[tex]V=6\times 4\times 7[/tex]

[tex]V=168\ units^3[/tex]

Answer:

The answer is 6(7)(4) = 168 Units cubed

Step-by-step explanation:

Hope this helps :)

Answer:

x =4

Step-by-step explanation:

Answer:

The function rule is:

[tex]y=-\frac{1}{2} x-1[/tex]

Step-by-step explanation:

We identify the output with the variable "y", the "input with the variable"x". Notice also that the "opposite of the input is "-x" (negative x), and therefore the words "the output is one less than half of the opposite of the input" translate into:

[tex]y=\frac{1}{2} (-x)-1\\y=-\frac{1}{2} x-1[/tex]

Answer:

B A library could have less than 12 computers.

D All libraries must have less than 35 computers.

E At least 1 library does bot have 12 computers.

Answer:

Yes, the two events are independent because P(NF|PB)=P(NF).

Step-by-step explanation:

Answer:

x < -1

Step-by-step explanation:

1/2 (x+5) < 2

Multiply each side by 2

1/2*2 (x+5) < 2*2

(x+5) < 4

Subtract 5 from each side

(x+5-5) < 4-5

x < -1

Answer:

25

Step-by-step explanation:

Move 125^4/3 to the numerator using the negative exponent rule 1/b^n=b^-n.

125^2 x 125^4/3

Simplify the expression.

5^3(2/3)

Cancel the common factor of 3.

5^2

Raise 5 to the power of 2.

25

Answer:

38°

Step-by-step explanation:

Using the Cosine rule in Δ ABC

cos A = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]

where a, b and c are the sides of the triangle.

Here a = 5, b = 3 and c = 7 , thus

cos A = [tex]\frac{3^2+7^2-5^2}{2(3)(7)}[/tex] = [tex]\frac{9+49-25}{42}[/tex] = [tex]\frac{33}{42}[/tex] , thus

∠ A = [tex]cos^{-1}[/tex] ([tex]\frac{33}{42}[/tex] ) ≈ 38°

Answer:

The answer is 21.

Step-by-step explanation:

**My**

**Mummy**

**Told**

**Me**

The value of g is 12.8, the solution of the equation.

Here, we have,

The equation you provided is:

g/4 = 3.2

To solve for the value of g, we can multiply both sides of the equation by 4 to isolate g:

4 * (g/4) = 4 * 3.2

The 4 on the left side cancels out with the 4 in the denominator, leaving us with:

g = 4 * 3.2

Multiplying 4 and 3.2 gives us:

g = 12.8

Therefore, the value of g is 12.8.

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Answer:

20

Step-by-ste

Answer:

20

Step-by-step explanation:

Answer:

30:120

Step-by-step explanation:

1 + 4 = 5

150 div 5 = 30

30 times 1 = 30

30 times 4 = 120

Answer:

Step-by-step explanation:

[tex]1 : 4 \\ 1 + 4 = 5[/tex]

[tex] \frac{150}{5} = 30[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: 1\: \: \: \: \: \: \: \: \: \: \: : \: \: \: \: \: \: \: \: 4 \\ 30 \times 1 \: \: \: \: \: \: \: : \: 4 \times 30 \\ \: \: \: \: \: 30 \: \: \: \: \: \: \: \: \: \: \: \: \: : 120[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

D

Step-by-step explanation:

f(x) = x + 10

Replace f(x) with y.

y = x + 10

Now, remember that in an inverse function you flip the x and y, so

x = y + 10

Solve for y

y = x - 10

because its 2x... we must multiply by 2.

2y = 2x - 20

Original equation:

h(x) = 2x - 0

h(x) is 2y..

D.

Answer:

The missing value is 20

Step-by-step explanation:

Answer:

7 light bulbs cost $13.79

Step-by-step explanation:

1: Divide 9.85 by 5 = 1.97

2: Multiply 1.97 by 7= 13.79

Answer: 13.79

Hope this helps.

Answer:

$13.79

Step-by-step explanation:

If you divide 9.85 by 5, you'll get 1.97. If you multiple 1.97 by 7 the answer is 13.79!

Answer:

1,344 square inches

Step-by-step explanation:

First, determine the faces that you have to find the areas of! In this situation, you need to find the areas of two trapezoids and four rectangles.

Finding the area of a trapezoid is pretty straightforward! Simply find the average of the two bases and multiply that by the height. ((5+15)/2)*12 should equal the area of one trapezoid. Because they're both the same trapezoid, you can multiply this area by two in order to get the area of both. This will get you 240.

Now, find the area of each of the rectangles by multiplying their individual bases and heights together. You'll find them to be 312, 360, 120, and 312.

Lastly, add all the areas together to get the total surface area.

Answer:

38cm

Step-by-step explanation:

4+2+2+4+13+13=38

Step-by-step explanation:

9 - 9r + 3r

9 - 6r

For finding the value of r

9 = - 6r

9/ - 6 = r

3 / - 2 = r

Answer: 2340 flowers

Step-by-step explanation:

From the question, Paloma added a garden to her painting. She has 12 rows of flowers and each row has 13 plants in it while each plant has 15 flowers on it. To calculate the number of flowers in Palomas garden, we multiply the number of rows by the total number of plants and the number of flowers in each plant. This will be:

= 12 × 13 × 15

= 2340 flowers

Answer:

If Josh had 27 baseballs and has 3 shelves, then if he splits the 27 between 3 he will get 9.

Step-by-step explanation:

27 ÷ 3 = 9

Hope this helps.

Answer:54 cm

Step-by-step explanation:

Given

Rods are joined to form a square

Perimeter of square is [tex]72\ cm[/tex]

Suppose a is the length of each rod so

Perimeter is [tex]4 a[/tex]

[tex]\therefore 4a=72[/tex]

[tex]\Rightarrow a=\frac{72}{4}[/tex]

[tex]\Rightarrow a=18\ cm[/tex]

Now if rods are joined to form a square then

Perimeter is the sum of sides

Perimeter of (equilateral)triangle[tex]=3a[/tex]

[tex]\Rightarrow =3\times 18[/tex]

[tex]\Rightarrow =54\ cm[/tex]

Answer:

4(7)-6=22

Step-by-step explanation:

C=7 and that's the final answer

Answer:

c = 7

Step-by-step explanation:

4c-6=22 add 6 on both sides

4c = 22+6

4c =28 divide both sides by 4

c = 7

well the answer is 1.13 because id you divide 28 in to 42 then you will get 1.13

Answer:

x = 6.00 $/kg ----> almond

y = 3.5 $/kg ------> nut

Step-by-step explanation:

To find the price per kg of each product you first write the algebraic equations for the given relations:

x : price per kg of almond

y: price per kg of nut

Then, you have:

5x + 4y = 44.00      (1)

8x + 6y = 69.00     (2)

By using substitution you have from (1):

y = (44.00-5x)/(4) = 11.00 - (5/4)x

you replace this expression for y into (2):

8x+6[11.00-(5/4)x] = 69.00

8x+66.00-(15/2)x = 69.00

8x-(15/2)x = 69.00 - 66.00

(1/2)x = 3.00

x = 6.00 $/kg ----> almond

And for nut:

y = 11.00 - (5/4)x = 11.00 - (5/4)(6.00) = 3.5$/kg

y = 3.5 $/kg ------> nut

The slope of any line parallel to this line would be c) 3/7.

Parallel lines are those lines that are equal distances apart and often of the same length. So, for the given slope where we have parallel lines, we can expect to have lines of the same slope. Thus we can arrive at 3/7.  

Note that parallel lines have the same slope. So, since the first slope is 3/7, we can expect the second to be the same thing.

Learn more about parallel lines here:

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Answer:

96 * 144 - 168 * 42

Step-by-step explanation:

So the area of the wall is 96 * 144

And the area of the tiled part is 168 * 42

So it would be 96 * 144 - 168 * 42

Answer:

x = ± 4

Step-by-step explanation:

Given

x² - 1 = 15 ( add 1 to both sides )

x² = 16 ( take the square root of both sides )

x = ± [tex]\sqrt{16}[/tex] = ± 4

Answer:

the true statement is

All parallelograms are quadrilaterals

Step-by-step explanation:

The answer is that ''All squares are rhombuses'' and ''All parallelograms are quadrilaterals.'' It can't be ''All rectangles are squares.'', because it is not valid. But if it were the other way around it would be correct. It can't be "All rhombuses are rectangles." because it's not valid. Only some can be rectangles.

                                          P.S. Hope this helps!

Answer:

30% chance or [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

1, 2, 2, 3, 3, 3, 3, 4, 4, 5

The only numbers above 3 is 4, 4, and 5. There are 3 numbers greater than 3 and there are 10 total numbers, so the chance is [tex]\frac{3}{10}[/tex] theoretical chance of getting a number GREATER than 3 or 30% chance.

Answer:

$ 4,986.18

Step-by-step explanation:

A = $ 4,986.18

A = P + I where

P (principal) = $ 4,610.00

I (interest) = $ 376.18

Answer:

b = -14

Step-by-step explanation:

Step  1  : B/14 Simplify

Step  2  :

Rewriting the whole as an Equivalent Fraction

Adding fractions that have a common denominator

Step  3  :

Rewriting the whole as an Equivalent Fraction

Adding fractions that have a common denominator

Step  4  :

Pulling out like terms

Step  5  :

When a fraction equals zero

Answer:    b = -14

Hope this helps.

Answer:

b= -50

Step-by-step explanation:

-10= b/14-9

Switch sides

b/14-9 = -10

Multiply both sides by 5

5b/14-9= 5(-10)

Simplify

b= -50

HOPE THIS HELPS :)