a rectangle has a length that is nine feet less than four times its width. Its area is 90 ft. Algebraically determine the length of its width and length. Show work

Answers

Answer 1

Answer: Ok... after much confusion, I've come to the conclusion that you must have written the question wrong and it's actually the perimeter that is 90 feet so that's how I'm going to work it...

Width = w
Length = 4w - 9

P = 2w x 2L
90 = 2w + 2(4w - 9)
90 = 2w + 8w - 18
90 = 10w - 18
108 = 10w
108/10 = w
10 4/5 = w

Width is 10 4/5 ft

Length = 4w - 9
L = 4(10 4/5) - 9
L = 43 1/5 - 9
L = 34 1/5 ft

Length 34 1/5 ft Width 10 4/5 ft or
Length 34.2 ft and width 10.8 ft

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A recipe calls for 2 tsp of butter. Melinda wants to make 40% more servings than the recipe makes.Which expression represents how many teaspoons of butter Melinda should use?
A.
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B.
1.6 * 2

C.
0.4 * 2

D.
1.4 * 2

Answers

The correct expression to represent the additional 40% serving to the recipe that calls for 2 tsp of butter is:

1.4 * 2 = 2.8 tsp. Choice D.

Ushma and her friends went to a movie that started at 7:35 p.m. The movie ended at 9:20 p.m. Ushma got home 50 minutes after the movie ended. What time did Ushma get home? Explain how you found your answer?

Answers

10:10 P.M. Surely just 50 minutes after the movie finished at 9:20 p.m

A greenhouse that specializes in growing vegetables used for Chinese cooking is divided into sections. The number of plants in each section depends on the number of sprinklers in that section.In a section with y sprinklers there are y(4y − 1) napa cabbage plants and (y + 5)2 bok choy plants.

Which simplified expression represents the total number of napa cabbage plants and bok choy plants in a section with y sprinklers? (5 points)

A.4y4 − 10y2 + 25
B.4y2 + 9y + 25
C.5y2 − 11y + 25
D.5y2 + 9y + 25

Answers

The right answer for the question that is being asked and shown above is that: D.5y2 + 9y + 25
Napa Cabbage = y (4y-1) = 4y^2 - y
Bok Choy = (y+5)^2 = y^2 + 10y + 25

= 4y^2 - y + y^2 + 10y + 25
= 5y^2 + 9y + 25

The simplified expression represents the total number of napa cabbage plants and bok choy plants in a section with y sprinklers is 5y^2 + 9y + 25

Answer:

Step-by-step explanation:

Took the test

Judith and her brother, Adam, are making orange frosting to decorate cupcakes for their Halloweenparty. They use the same amount of orange food coloring, but Adam uses more white buttercream
frosting than Judith. Whose Ffrosting will be a darker shade of orange?

Answers

Judith’s frosting will be a darker shade of orange.

Helpp with bothhhh!!!!!

Answers

Answer:

3. x = 5

4. -5 1/25

Step-by-step explanation:

-3x+5=-10

Subtract the 5 from both sides...

-3x = -15

Divide by -3

x = 5

For 4, it's just multiplying.

-2 4/5 in improper form is -14/5

1 4/5 in improper form is 9/5

-14/5 x 9/5 is -126/25

-126/25 can be -5.04 or -5 1/25.

Answer:

3. a (x=5)

4. -126/25

Step-by-step explanation:

3. -3x+5=-10

-3x=-10-5

-3x=-15

x=5

4. -(-2 4/5) x 1 4/5

(-14/5) x 9/5

= -126/25

HELP PLEASE!!The cross sections shown above are from a rectangular prism.

Cross section A is from a plane that is parallel to the base cutting through the prism. Cross section A has an area of 90 units squared.

Cross section B is from a plane that is perpendicular to the base and parallel to the sides of the prism cutting through the prism. Cross section B has an area of 50 units squared.

Cross section C is from a plane that is perpendicular to the base and parallel to the front of the prism cutting through the prism. Cross section C has an area of 45 units squared.

The prism in which the cross sections were taken has a length of
units, width of
units, and a height of
units.

Answers

The rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).

What is the area of a rectangle?

A rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides that are parallel and congruent (equal in length). The area of a rectangle is defined as the amount of space that is enclosed by its two-dimensional shape, and it can be calculated by multiplying the length of the rectangle by its width. The formula for the area of a rectangle is:

Based on the given information, we can determine the dimensions of the rectangular prism as follows:

Cross section A has an area of 90 square units, which is equal to the area of the base of the prism. Since the base of the prism is a rectangle, we can use the formula for the area of a rectangle to find its dimensions:

90 = length x width

Cross section B has an area of 50 square units, which is equal to the area of one of the sides of the prism. Since the sides of the prism are also rectangles, we can use the formula for the area of a rectangle to find its dimensions:

50 = height x width

Cross section C has an area of 45 square units, which is equal to the area of the front of the prism. Since the front of the prism is also a rectangle, we can use the formula for the area of a rectangle to find its dimensions:

45 = length x height

We now have three equations with three unknowns, which we can solve for to find the dimensions of the prism:

90 = length x width

50 = height x width

45 = length x height

Solving for width in the first equation gives us:

width = 90 / length

Substituting this into the second equation gives us:

50 = height x (90 / length)

Solving for height gives us:

height = 50 x (length / 90) = (5/9) length

Substituting this into the third equation gives us:

45 = length x (5/9) length = (5/9) length²

Solving for length gives us:

length² = (9/5) x 45 = 81

length = √(81) = 9

Therefore, the rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).

To learn more about the area of a rectangle visit:

brainly.com/question/25292087

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