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3 years ago

Which equation represents the proportional relationship between the cost, t, in dollars, of p pounds of wood bought?

Mathematics

2 answers:

AysviL [449]3 years ago

8 0

Answer:

Your answer is D

Because if you want to find the relationship between the cost and the pounds of wood, then looking at the chart, D would be the most viable answer because its the only one with the correct amount of pounds for the wood.

geniusboy [140]3 years ago

5 0

Answer:

Step-by-step explanation:

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Sometimes, Cindy's little brother interrupts her during homework time. So, she made a triangular "Do Not Disturb" sign to hang o

Marta_Voda [28]

Answer:

A = 1/2(b×h)

Step-by-step explanation:

Area = 1/2(base×height)

6 0

3 years ago

The formula for the circumference of a circle is C = 2xr. If the circumference is

vredina [299]

Answer:

774.4

Step-by-step explanation:

4 0

3 years ago

Tower one, a cube with a hexagonal prism measures 15.6cm. Tower two, a cube with a cylinder measures 18.3cm. Tower 3, a hexagona

lina2011 [118]

Answer:

$Tower 4 = 23.9cm$

Step-by-step explanation:

Given

Tower one = 15.6 cm

Tower two = 18.3 cm

Tower 3 = 13.9 cm.

Required:

Height of the 4th tower

Represent a cube by X; a cylinder by Y and a hexagonal prism by Z

Tower one, a cube with a hexagonal prism = X + Z = 15.6

Tower two, a cube with a cylinder = X + Y = 18.3

Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9

$X + Z = 15.6$ ----- Equation 1

$X + Y = 18.3$ ----- Equation 2

$Z + Y = 13.9$ ----- Equation 3

Subtract equation 1 from 2

$(X + Y = 18.3) - (X + Z = 15.6)$

$X - X + Y - Z = 18.3 -15.6$

$Y - Z = 18.3 -15.6$

$Y - Z = 2.7$ ---- Equation 4

Add Equation 4 to Equation 3

$(Y - Z = 2.7) + (Z + Y = 13.9)$

$Y + Y - Z + Z = 2.7+ 13.9$

$2Y = 2.7+ 13.9$

$2Y = 16.6$

Divide both sides by 2

$\frac{2Y}{2} = \frac{16.6}{2}$

$Y = \frac{16.6}{2}$

$Y = 8.3cm$

Substitute $Y = 8.3cm$ in Equation 2 and 3

$X + Y = 18.3$ ----- Equation 2

$X + 8.3 = 18.3$

Subtract 8.3 from both sides

$X + 8.3 - 8.3 = 18.3 - 8.3$

$X = 18.3 - 8.3$

$X = 10cm$

$Z + Y = 13.9$ ----- Equation 3

$Z + 8.3 = 13.9$

Subtract 8.3 from both sides

$Z + 8.3 - 8.3 = 13.9 - 8.3$

$Z = 13.9 - 8.3$

$Z = 5.6cm$

So, we have that

$X = 10cm$

$Y = 8.3cm$

$Z = 5.6cm$

The question states that the 4th tower is made up of the three shapes;

This implies that;

$Tower 4 = X + Y + Z$

$Tower 4 = 10cm + 8.3cm + 5.6cm$

$Tower 4 = 23.9cm$

The height of the 4th tower is 23.9cm

8 0

3 years ago

Graph the equation by plotting three points. If all three are correct the line will appear -3y=-2x-6

Pachacha [2.7K]

Three possible points are:
(-3, 0)
(0, 2)
(3, 4)

To find any points, simply select any value for x. Input that value, then find the corresponding y-value.

For example, if x = 0, then:

-3y = -2(0) - 6
-3y = -6
y = 2

3 0

4 years ago

A student has passed 60 percent of the 20 quizzes he has written so far successfully. If the student writes 50 quizzes during th

NikAS [45]

60% of 20 quizzes = 60/100*20 quizzes = 12 quizzes

Amount of quizzes remaining = 50 quizzes - 20 quizzes = 30 quizzes

He passes 80% of those 30 quizzes, so

80/100 * 30 quizzes = 24 quizzes

So, he passed 12 quizzes from the initial bunch and 24 quizzes from the rest, which totals to 12 quizzes + 24 quizzes = 36 quizzes.

Then, you see that he passed 36 quizzes, out of the total 50 quizzes, so the ratio is 36 quizzes / 50 quizzes = 36/50, which when converted as a percentage is 36/50 * 100% = 72%.

Therefore, he passed 72% of the quizzes for the entire year.

4 0

3 years ago