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Westkost [7]
3 years ago
11

PLEASE HELP ME ASAP WITH STEPS 27 POINTS AND BRAINLIEST! The area of a rectangle is given by the expression 8x 3 − 2x 2 − 11x +

15. If the width of the rectangle is 2x + 3, what is the expression that represents the length of the rectangle?

Mathematics
1 answer:
amid [387]3 years ago
7 0

To find the length, divide the area by the width.

See the attached picture:

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Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar pe
vesna_86 [32]
Let
 x = loaves of bread
 y = batches of muffins
 You must make a system of two equations with two unknowns that describe the problem
 3.5x + 2.5y = 17 --- (1)
 0.75x + 0.75y = 4.5 --- (2)
 Resolving we have
 x = 6-y (from (2))
 replacing in (1)
 3.5 (6-y) + 2.5y = 17
 21 - 3.5y + 2.5y = 17
 y = 21-17 = 4
 Then substituting in (2)
 x = 6-y = 6-4 = 2
 Answer
 Helena could bake:
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8 0
3 years ago
For the last showing of a movie, a theater sold full-price and discount tickets,the theater sold 130 full-price ticket for a tot
sveta [45]

Answer:

the cost of 1 full price ticket is $9.5

Step-by-step explanation:

For the last showing of a movie, a theater sold full-price and discount tickets,the theater sold 130 full-price ticket for a total of $1235 the total sales both types of tickets were $2395

Let x be the number of full price tickets and y be the number of discount tickets

the theater sold 130 full-price ticket for a total of $1235 the total sales

130 full price tickets sold for $1235

the cost of 1 full price ticket is

\frac{1235}{130}=9.5

the cost of 1 full price ticket is $9.5

4 0
3 years ago
What is the X<br> 3x +15 and 2x + 20
Georgia [21]

Answer:

<h2><u><em>x = 5</em></u></h2>

Step-by-step explanation:

What is the X

3x +15 and 2x + 20

assuming that the question is an equation

3x + 15 = 2x + 20

3x - 2x = 20 - 15

x = 5

-----------------

check

3 * 5 + 15 = 2 * 5 + 20

30 = 30

the answer is good

5 0
2 years ago
How to prove a quadrilateral is a trapezoid but not a parrallelogram
elena55 [62]
To prove a quadrilateral<span> is a </span>parallelogram<span>, you must use one of these five ways. </span>Prove that<span> both pairs of opposite sides </span>are<span> parallel. </span>Prove that<span> both pairs of opposite sides </span>are<span> congruent.</span>Prove that<span> one pair of opposite sides is both congruent </span>and<span> parallel. </span>Prove that<span> the diagonals bisect each other.</span>
5 0
3 years ago
A man travelled 3/8 of his journey by a rail 1/4 by a taxi 1/8 by and the remaining 2km on foot what is the length of his total
Burka [1]
The man travelled in different ways: by rail, by taxi, by ___ and by foot. I placed a blank there because there seems to be a missing word in the given problem above. For sample purposes, let's just assume that is travel by bus.

Since all of these travels are equal to 1 whole journey, you can express each travel as a fraction. When you add them up, the answer would be 1. So,

3/8 + 1/4 + 1/8 + x = 1

The variable x here denotes the fraction of his travel by foot. We are only given the exact distance travelled on foot which is 2 km. We have to find the fraction of the travel by foot to determine the length of the total distance travelled. Solving for x,

x = 1 - 3/8 - 1/4 - 1/8
x = 1/4

That means that the travel by foot comprises 1/4 of the whole journey. Thus,

Let total distance be D.

1.4*D = 2 km
D = 8 km

Therefore, the man travelled a total of 8 kilometers.
4 0
3 years ago
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