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erica [24]
3 years ago
9

The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the recta

ngle
Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0

⇛L = W + 5

⇛L × W = 150 sq. units

⇛W (W + 5) = 150

⇛W² + 5W = 150

⇛W² + 5W - 150 = 0

⇛[(W - 10) (W + 15)] = 0

⇛W = -10 , 15 (reject negative width)

☞ Width of rectangle is 10 units

☞ Length of rectangle is 15 units

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A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $693 on props,
sergeinik [125]

Answer:

The total budget is $1260

Step-by-step explanation:

Given

Props = \$693

Costumes = 45\%

Required

Determine the total budget

Since all budgets was spent on Props and Costumes only.

We have that.

\%Props + \%Costumes = 100\%

\%Props + 45\%= 100\%

\%Props= 100\% -45\%

\%Props= 55\%

In other words, 55% was spent on Props

Let the total budget be x, we have:

55\% * x = \$693

Make x the subject

x = \$693/55\%

x = \$1260

Hence, the total budget is $1260

5 0
2 years ago
The area of a circular pool cover is 314 square feet. Write and solve an equation to find the diameter of the pool cover. Use 3.
nikitadnepr [17]
The diameter of the pool cover in one hundred feet
4 0
3 years ago
Mukat has five times as many book as usha.If mukat gave 16 books to usha,they each would have the same number.how many books did
vladimir1956 [14]

Mukat gets 40, Usha gets 8

Step-by-step explanation:

Mukat = 5 × Usha

After Mukat gives Usha 16 books ,Usha gets (16 + initial number of books) and Mukat gets (5 × Usha - 16)

Then Mukat = final number of books for Usha

5 × Usha - 16 = Usha + 16

(5 × Usha ) - Usha = 16+16

4 × Usha = 32

Usha = 8 i.e her number of books.

Mukat = 5×8=40.

I HOPE IT'S OK

6 0
3 years ago
What is the predecessor of 100000​
krok68 [10]

Answer:

99,999

Step-by-step explanation:

8 0
2 years ago
Determine the domain of the function f(x)=1/3x^2+10x+8
cricket20 [7]
The function is
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Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
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      = (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67

This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).

Answer: The domain is (-∞, ∞)

8 0
3 years ago
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