The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet. What is the area of the backyard?

Answers

Answer 1

Answer:

150 square feet

Step-by-step explanation:

Step 1

Find the Length and Width of the backyard

The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet.

Perimeter = 2L + 2W

L = Length, W = Width

L = 5 + W

Hence:

50 = 2(5 + W) + 2W

50 = 10 + 2W + 2W

Collect like terms

50 - 10 = 4W

40 = 4W

W = 40/4

W = 10 feet

We find L

L = 5 + W

L = 5 + 10 feet

L = 15 feet

Step 2

What is the area of the backyard?

Area of a rectangle = Length × Width

Area of the rectangular backyard = 15 feet × 10 feet

= 150 square feet

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Find the sum of 8 and 492

Two lines, A and B, are represented by the following equations: Line A: 2x + 2y = 8
Line B: x + y = 3

Which statement is true about the solution to the set of equations?

It is (1, 2).
There are infinitely many solutions.
It is (2, 2).
There is no solution.

Answers

Line A: 2x+2y=8 ⇒2y=-2x+8 ⇒ y=-x+4
Line B: x+y=3 ⇒y=-x+3

Therefore: y=y then:
-x+4=-x+3
-x+x=3-4
0≠-1 ⇒There is no solution because the lines are parallels

Answer: There is no solution

Answer:

D. There is no soltution sorry this answer is reallyyyy late :(

Step-by-step explanation:

A large pharmaceutical company is trying to determine whether a drug aptly named Recall-Pro can increase your short-term memory capacity. The company prepares a double-blind study as follows:Step 1: A randomly selected pool of individuals is brought to a clinic and is evaluated for any existing health conditions that may impair the results of this experiment.

Step 2: The remaining individuals are split into two groups: a treatment group and a control group.

Step 3: The control group receives a placebo, but neither the researcher nor the individuals know this.

Step 4: The treatment group receives Recall-Pro, but neither the researcher nor the individuals know this.

Which step is flawed in the double-blind study? Why?
A.Step 1; health screening should not eliminate participants from the study
B.Step 2; it does not specify whether the two groups are chosen randomly
C.Step 3; the control group does not receive the placebo
D.Step 4; members of the treatment group should know that they have received the medication

Answers

The best answer to the question that is being stated above would be letter B. Step 2 is the one that is flawed in the double-blind study because it does not specify that the two groups were randomly chosen. It is important to assign the participants randomly so that the results give a non-confounded result.

If Walt can paint 25 feet of fence in an hour, and Joe can paint 35 feet in an hour, howmany minutes will it take them to paint a 150-foot fence, if they work together?

Answers

If Walt paints 25 ft. on one hour, and Joe pairs 35 ft in an hour, then they paint 60 ft per hour together. So, 60ft divided into the 150 ft fence equals 2 1/2 hours.

It will take Walt & Joe 2 1/2 hours to paint a 150ft fence.

The answer is 2 and a half hours

100POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

all of them involve y intercepts

f(x) means y
g(x) means y

y intercept is where the graph crosses the y axis or when x=0 so set x=0

f(x)
x=0 when y=-7.5
y int=-7.5

g(x)
x=0
set x=0
y=3^0-7
y=1-7
y=-6

f(x) yint=-7.5
g(x) yint=-6

A. y int of f(x) is less than yint of g(x)
-7.5<-6
true

B. this is oposite of A so this is wrong

C. this says that g(x) has no yint, false

D. they yints are eqla
-7.5=-6
false

answer is A

Answer:

f(x)

x=0 when y=-7.5

y int=-7.5

g(x)

x=0

set x=0

y=3^0-7

y=1-7

y=-6

f(x) yint=-7.5

g(x) yint=-6

A. y int of f(x) is less than yint of g(x)

-7.5<-6

true

B. this is oposite of A so this is wrong

C. this says that g(x) has no yint, false

D. the yints are equal

-7.5=-6

false

answer is A

Relative minimum: the point on the graph where the interval changes from A. Increasing B. Decreasing C. Input D. Output

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

A jar contains only pennies, nickels, dimes, and quarters. There are 14 pennies, 28 dimes, and 16 quarters. The rest of the coins are nickels. There are 70 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?

Answers

Answer:

Step-by-step explanation:

Let n represent the number of nickels in the jar.

The jar contains only pennies, nickels, dimes, and quarters. There are 14 pennies, 28 dimes, and 16 quarters. This means that the total number if pennies, dimes and quarters would be

14 + 28 + 16 = 58

This means that the number of coins that are not nickel is 58

The total number of coins in the jar is 70. Therefore, the equation that can be used to find n is

n + 58 = 70

n = 70 - 58

n = 12 nickels

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