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3 years ago

A garden has a length of (x + 2) feet and a width of (2x - 1) feet. The garden’s total area is 88 square feet. Find the length.

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

6 0

Answer:

Length=x+2

Width=2x-1

Area of garden =length×width

88sq.ft=2x-1 × x+2

88sq ft=2x^2+3x-2

2x^2+3x-2=88

2x^2+3x-2-88=0

2x^2+3x-90=0

2x^2+(15x-12x)-90=0

x(2x+15)-6(2x+15)=0

(x-6)(2x+15)=0

x-6=0

x=6 eq.1

2x+15=0

2x=-15(since length cant come in negative so it would not be the value of x)

Since x=6 according to eq. 1 ,therefore

Length =x+2

Length=6+2

Length=8..

alexandr402 [8]3 years ago

5 0

Answer:

x= 29

Step-by-step explanation:

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The population of a species of rabbit triples every year. This

jok3333 [9.3K]

Answer:

"4" represents that there are 4 rabbit in the beginning.

Step-by-step explanation:

Given that the population of a species of rabbit triples every year. This

can be modeled by function $f\left(x\right)=4\left(3\right)^x$ and $f(5) = 972$ .

Now we need to find about what does the 4 represent in the given function.

We know that exponential function is given by $f\left(x\right)=a\left(b\right)^x$ . Where "a" represents the initial amount.

we have a=4 in given function $f\left(x\right)=4\left(3\right)^x$ .

So that means "4" represents that there are 4 rabbit in the beginning.

3 0

2 years ago

Find the measure of the indicated angle to the nearest degree 9 25

SCORPION-xisa [38]

Answer:

1. 34.4°

2. 18.8°

3. 37.7°

4. 36.6°

5. 40.6°

6. 7.5

7. 12.3

8. 14.7

9. 22.0

10. 6.3

Step-by-step explanation:

1. The missing angle is found by the use of the sine.

Sine ∅= opposite/ hypotenuse

=13/23

sin⁻¹(13/23)=34.4°

2. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=17/50

Tan⁻¹(17/50)=18.8°

3. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=17/22

Tan⁻¹ (17/22) = 37.7°

4. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=21/28

Tan⁻¹ (21/28)=36.9°

5. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=24/28

Tan⁻¹ (24/28) = 40.6°

6. Missing side is calculated by considering the tan of 58°

Tan 58°=12/x

x=12/Tan 58°

=7.5

7. Missing side is calculated by considering the sine of 43°

Sin 43°= opposite / hypotenuse

Sin 43 =x/18

x= 18 Sin 43

=12.3

8. Missing side is calculated by considering the sine of 62°

Sin 62° = 13/x

x=13/Sin 62°

=14.7

9. Missing side is calculated by considering the tan of 36°

Tan 36°= 16/x

x=16/Tan 36°

=22.0

10. Missing side is calculated by considering the sine of 23°

Sin 23° = x/16

x=16 Sin 23

=6.3

8 0

3 years ago

two-fifths of the fish in Gary's fish tank are guppies. One fourth of the guppies are red. What fraction of the fish in Gary's t

Stells [14]

Two fifths are 4 one fourth is 2 so there are 2 red guppies the fraction that they are red is 2 over 4 the fraction that are not red are 2 over 4 too

6 0

3 years ago

Read 2 more answers

Mr. Shamir employs two part-time typists, Inna and Jim, for his typing needs. Inna charges $15 an hour and can type 6 pages an h

coldgirl [10]

Answer:

The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

Step-by-step explanation:

We are given the following information in the question:

Charges for 1 hour for Inna = $15

Number of pages typed by Inna in 1 hour = 6

Charges for 1 hour for Jim = $18

Number of pages typed by Jim in 1 hour = 8

Let x be the number of hours Inna work and let y be the number of hours Jim work.

Total cost = $15x + 18y$

We have to minimize this cost.

Then, we can write the following inequalities:

$6x + 8y \geq 208\\x \geq 8\\y \geq 8\\$

The corner points as evaluated from graph are: (8,20) and (24,8)

C(8,20) = 480$

C(24,8) = 504$

Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

The attached image shows the graph.

3 0

3 years ago

Andrea bought tacos from a food truck and left a 2 5 % 25%25, percent tip of $ 2 . 0 0 $2.00dollar sign, 2, point, 00. What was

Bingel [31]

Let us say the original price of taco before tip was x dollars.

Percentage of tip given =25 %

Amount of tip given = $2

Now we can say that 25 % of total amount = 2 dollars.

Making an equation,

$0.25x =2$

Now we have to solve for x, so dividing both sides by 0.25,

x= 8

Answer : The original price of tacos before tip was $8.

5 0

3 years ago

Read 2 more answers