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3 years ago

5

The length of a rectangle is 3 times the width, and the perimeter is 22. Find the dimensions of the rectangle.

1 answer:

ankoles [38]3 years ago

8 0

<span> Ok, so first you know that the length=3 times the width, or width=x and length=3x.

To find the perimeter of a rectangle, you add the lengths of all the sides, so you add the width+width+length+length, or x+x+3x+3x.

This is then simplified into Perimeter=8x.

Since the perimeter is 22, you substitute it into the equation:
22=8x

Then, simply solve for x by dividing 22 by 8. The answer is x=2.75.

Since width=x and length=3x, width=2.75 and length=3 (2.75), or length=8.25.

Therefore, the dimensions of the rectangle are width of 2.75 and length of 8.25.

Hope it helps :] </span>

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Tickets to the zoo cost $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation repr

Oxana [17]

Answer:

18 children

Step-by-step explanation:

Given

$240 = 12x +8y$

<em>Required (missing part of the question):</em>

<em>Number of children that will be able to go to the zoo if 8 adult tickets are purchased</em>

<em>The graph is missing. However, the question can be solved without the graph.</em>

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From the question and equation, we can deduce the following:

x represents adults
y represents children

So, when 8 adult tickets were sold.

This means

$x = 8$

Substitute 8 for x in $240 = 12x +8y$

$240= 12 * 8 + 8y$

$240= 96+ 8y$

Subtract 96 from both sides

$240 - 96 = 96 - 96 + 8y$

$144 = 8y$

$8y = 144$

Solve for y

$y= \frac{144}{8}$

$y= 18$

<em>This means that 18 children will be able to go</em>

5 0

2 years ago

Three times the difference of ten and a number is four.

Paul [167]

Answer:

3 (10-a) = 4 i think

Step-by-step explanation:

7 0

2 years ago

Find the values for c and d

baherus [9]

Answer:

c=-5

d=1

Step-by-step explanation:

$(cy^2)(4y^d)=-20y^3$

I'm going to reorder the left-hand side. Multiplication is commutative.

$(4c)(y^2y^d)=-20y^3$

Since the bases are the same in $y^2y^d$ and the operation is multiplication, I'm going to add the exponents giving me:

$4cy^{2+d}=-20y^3$

So this implies we have two equations to solve:

$4c=-20$ and $2+d=3$

So the first equation can be solved by dividing both sides by 4 giving you $c=-5$ .

The second equation can be solved by subtracting 2 on both sides giving you $d=1$ .

6 0

3 years ago

Simplify: (−2a2b) • (4a5b2) −8a7b3 −8a10b2 −8(ab)10 16a7b3

7nadin3 [17]

I hope this helps you

-2a^2b.4.a^5.b^2

-8.(a^2+5)(b^1+2)

-8.a^7.b^3

7 0

3 years ago

Read 2 more answers

If ∠WOZ and ∠WOX are supplementary angles and ∠WOX and ∠XOY are complementary angles, then what is the value of x and m∠XOY?

omeli [17]

Answer:

D.x = 6; m∠XOY = 18°

Step-by-step explanation:

Supplementary angles add to 180 and complementary angles add to 90

∠WOZ + ∠WOX = 180

108 + ∠WOX = 180

∠WOX + ∠XOY = 90

∠WOX + 3x = 90

∠WOX = 90 -3x

Replace WOX in the first equation

108 + ∠WOX = 180

108 + 90 -3x = 180

Combine like terms

198 -3x = 180

Subtract 198 from each side

-3x = 180-198

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x = 6

∠XOY = 3x = 3*6 = 18

5 0

3 years ago