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3 years ago

Write an equation for the statement and then solve

Mathematics

1 answer:

Lunna [17]3 years ago

6 0

Answer:

16. 30 * (30+12)/4*(L)*20

17. Volume = 6300 * Length of rectangular prism

Step-by-step explanation:

The width of a rectangular prism is 30 cm. This is 12 more than one-fourth of the length. Find the volume of the prism, given the height is 20 cm.

Let L = length of rectangular prisim W = width and H = height

16.

Volume of a rectangular prism is width * length * height

30 * (30+12)/4*(L)*20

17.

= 30 * (30+12)1/4(L)*20

= 30 * (42/4)*L * 20

= 600 * 10.5 * L

= 6300 * L

Volume = 6300 * Length of rectangular prism

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Maria solved the equation. 4 (3 x minus 8) minus 4 = 24. 12 x minus 32 minus 4 = 24. 12 x minus 36 = 24. 12 x = 60. x = 5. What

Mrac [35]

Answer:

1. Distributive property.

2. Combining like terms.

3. Addition property of equality.

4. Division property of equality.

Step-by-step explanation:

- The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ab$

- The Addition property of equality states that:

$If\ a=b\ then\ a+c=b+c$

- The Subtraction property of equality states that:

$If\ a=b\ then\ a-c=b-c$

- The Multiplication property of equality states that:

$If\ a=b\ then\ a*c=b*c$

- The Division property of equality states that:

$If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}$

Given the following equation:

$4(3x-8)-4=24$

We can identify that the methods Maria used to solve it and the order, are:

1. Distributive property:

$(4)(3x)-(4)(8)-4=24\\\\12x-32-4=24$

2. Combining (or adding) like terms:

$12x-36=24$

3. Addition property of equality, because she added 36 to both sides of the equation:

$12x-36+36=24+36\\\\12x=60$

4. Division property of equality, because she divided both sides of the equation by 12:

$\frac{12x}{12}=\frac{60}{12}\\\\x=5$

7 0

3 years ago

Read 2 more answers

-X + 2y = 10 -3x+ 6y = 11

Tanzania [10]

Answer:

1. y = 1 /2X +5

Step-by-step explanation:

2. m=1/2

7 0

3 years ago

Suppose your car averages 38 miles per gallon on the high-

Stella [2.4K]

Answer:

a. around 36.36 hours; around 28.57 hours

b. $134.21; $159.38

Step-by-step explanation:

4 0

3 years ago

Plus $5 per day. The fee for the game booth is $50 plus $7 per day.

Marta_Voda [28]

Question:

A company sets up a food booth and a game booth at the county fair. The fee for the food booth is $100 plus $5 per day. The fee for the game both is $50 plus $7 per day. Write an expression for how much both will cost for the same number of days.

Answer:

105 times 15= 1575

57 times 20= 1140

1140+1575= 2715

(2715)(d)= x

6 0

3 years ago

Use the figure to the right to find the missing lengths of the triangle.

pychu [463]

To find AB(x) and BC(y), you can do(there are multiple ways you can do this):

tan A = $\frac{y}{7}$

tan 60° = $\frac{y}{7}$ or (tan 60°) · 7 = y

tan 60° = $\frac{\frac{\sqrt{3} }{2} }{ \frac{1}{2} } = \sqrt{3}$

√3 · 7 = y

7√3 cm = y

sin B = $\frac{7}{x}$

sin 30° = $\frac{7}{x}$ or $x= \frac{7}{sin 30}$

sin 30° = $\frac{\frac{1}{2} }{1}$ = $\frac{1}{2}$

x = $\frac{7}{\frac{1}{2} } = 14$

x = 14 cm

AB = 14cm

BC = 7√3 cm

8 0

3 years ago