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Sladkaya [172]
3 years ago
12

The total width of three shortboards is 4.5 inches more than the width of two longboards. Write and solve an equation to find th

e width of a longboard.
Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0

Let the width of the shortboard is x and the width of the longboard is y.

Then, 3x = 4.5 + 2y.

Or, 3x - 2y = 4.5

If y = 11.25, then,

3x - 2(11.25) = 4.5

3x - 22.5 = 4.5

3x = 4.5 + 22.5

= 27

x = 9

Hence, one of the possible solution is width of the shortboard is 9 inches and the width of the longboard is 11.25 inches.

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An artist is making a mural by reproducing a painting at a different scale. The original painting is 10 1/2 inches long and 4 in
Tatiana [17]

Answer:

1 inch : 4 feet

Step-by-step explanation:

Size of the Mural is 42 feet long and 16 feet.

The original painting is 10½ inches long and 4 inches wide.

On the length

Length of Painting: Length of Mural

10½ inches: 42 feet

1 inch : 42/10½ feet

1 inch : 4 feet

On the Width

Width of Painting: Width of Mural

4 inch: 16 feet

1 inch : 16/4 feet

1 inch : 4 feet

The Scale of the Original Painting to the Mural is therefore:

1 inch : 4 feet

7 0
3 years ago
Read 2 more answers
16y=14+9y please answer 23 points
NeTakaya

Answer:

<h2>y = 2</h2>

Step-by-step explanation:

16y=14+9y\qquad\text{subtract}\ 9y\ \text{from both sides}\\\\16y-9y=14+9y-9y\\\\7y=14\qquad\text{divide both sides by 7}\\\\\dfrac{7y}{7}=\dfrac{14}{7}\\\\y=2

4 0
3 years ago
The graph shows the solution to which system of inequalities?
Misha Larkins [42]

Answer:

The orange one is the answer

Step-by-step explanation:

The easiest way to find the solution is to plug in one of the coordinates that is located in the shaded area into each equation. If the equations make sense, as they do in the orange option, you have your answer.

Hope this helps you!

7 0
3 years ago
Read 2 more answers
Solve for y: 7x+8y s 14-16
romanna [79]

Answer:

y≤ -1/4 - 7x/8

Step-by-step explanation:

7 0
3 years ago
Tan(2 sin^-1 0.4)<br> Find the Exact value
stiv31 [10]

Answer:

tan(2u)=[4sqrt(21)]/[17]

Step-by-step explanation:

Let u=arcsin(0.4)

tan(2u)=sin(2u)/cos(2u)

tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]

If u=arcsin(0.4), then sin(u)=0.4

By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.

This also implies cos(u)=sqrt(0.84) since cosine is positive.

Plug in values:

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]

tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]

tan(2u)=[(40)(sqrt(0.84)]/[34]

tan(2u)=[(20)(sqrt(0.84)]/[17]

Note:

0.84=0.04(21)

So the principal square root of 0.04 is 0.2

Sqrt(0.84)=0.2sqrt(21).

tan(2u)=[(20)(0.2)(sqrt(21)]/[17]

tan(2u)=[(20)(2)sqrt(21)]/[170]

tan(2u)=[(2)(2)sqrt(21)]/[17]

tan(2u)=[4sqrt(21)]/[17]

7 0
3 years ago
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