1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sati [7]
3 years ago
11

The width of a rectangle is the sum of the length and 1. The area of the rectangle is 20 units. What is the width, in units, of

the rectangle?
Mathematics
1 answer:
IRISSAK [1]3 years ago
6 0

Answer:

W=5

Step-by-step explanation:

W=Width=Length + 1

L = Length

Area = Length * Width = 20

Area = L * W = L * (L+1) = 20

Distribute the L:   L^2 + L = 20

Subtract 20 from both sides: L^2 + L -20 = 20-20

Simplify:  L^2+L-20=0

Factor (L-4)(L+5)=0

Solve using the zero property: L-4=0, L=4      L+5=0, L=-5

The two options for length are 4 and -5. Only 4 will work for L since it cannot be negative.   Width is Length + 1 = 5

You might be interested in
cuanto dinero se debe invertir a un interes de 14% compuesto continuamente para tener $500,000 en 35 años?
Alja [10]

Answer:

Se necesita depositar un capital inicial de $ 5096.83 pesos para lograr $ 500000 pesos a un interés compuesto de 14 % anual luego de 35 años.

Step-by-step explanation:

La cantidad ahorrada bajo interés compuesto está definida por la siguiente fórmula:

C(t) = C_{o}\cdot (1+r)^{t} (1)

Donde:

C_{o} - Capital inicial, medido en pesos.

C(t) - Capital actual, medido en pesos.

r - Tasa de interés, sin unidad.

t - Anualidad, medida en años.

Asumiendo que la tasa de interés compuesto es anual y si C(t) = 500000, r = 0.14 y t = 35, entonces el capital inicial es:

C_{o} = \frac{C(t)}{(1+r)^{t}}

C_{o} = \frac{500000}{(1+0.14)^{35}}

C_{o} = 5096.83

Se necesita depositar un capital inicial de $ 5096.83 pesos para lograr $ 500000 pesos a un interés compuesto de 14 % anual luego de 35 años.

6 0
2 years ago
Please include work! :)
UNO [17]

Answer:

m = 13.

Step-by-step explanation:

Recall that adding logarithmic equations, (ex: log a + log b) is the same as log (a·b). Therefore:

log 12 + log 5 = log (4m + 8)

log (12·5) = log (4m + 8)

log (60) = log (4m + 8)  **Ignore 'Log' to solve for 'm'

60 = 4m + 8  **Subtract both sides by 8

52 = 4m  **Divide both sides by 4

m = 13.

6 0
3 years ago
The tire franks bike moves 75 inches in at one rotation how many rotations will the tire have made after frank rides 50 feet
nexus9112 [7]
8
75 in. = 6.25 ft.
50 ft ÷6.25 = 8
5 0
3 years ago
How much will a person pay for 7.5 pounds of bananas at a price of $2.07 per pound?
igomit [66]

Answer:

$15.57

Step-by-step explanation:

2.07 times 7.50 = $15.57!

7 0
3 years ago
On a map, 9 cm represents 15 miles. If the distance between two cities on the map is 15 cm, how many miles separate the cities?
torisob [31]

Answer:

15 cm on the map is equal to 25 miles.

Step-by-step explanation:

Given that,

On a map, 9 cm represents 15 miles.

The distance between two cities is 15 cm. We need to find the distance in miles.

9 cm = 15 miles

1\ cm=\dfrac{15}{9}\ \miles

So, 15 cm is equal to,

15\ cm=\dfrac{15}{9}\times 15\ miles\\\\=25\ miles

So, 15 cm on the map is equal to 25 miles.

4 0
3 years ago
Other questions:
  • The measure of an exterior angle of a regular polygon is 15°. What is the sum of the measures of the interior angles of the poly
    6·1 answer
  • A banner has a length of 10 feet and an area of 7 square feet. What is the width of the banner?
    10·1 answer
  • What is the discount on a leather jacket that costs $298 discounted at 15%
    8·2 answers
  • Mr. Evans is paid $9.20 per hour for the first 40 hours he works in a week. He is paid 1.5 times that rate for each hour he work
    14·1 answer
  • Which graph represents the function ) = -2-1
    11·1 answer
  • if there both consecutive doesn't that mean that there both -9 so how is one bigger an one smaller.... ​
    15·1 answer
  • Danny flies a drone in a circular path around an object that is 210 feet west and 220 feet south of his position. The drone's pa
    5·1 answer
  • Guys plssssssss! I want to spend time today and tomorrow with my fam before they go back to Washington
    5·1 answer
  • Which expression represents three minus the quotient of five divided by x?
    13·1 answer
  • Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of jocelyns e
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!