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Ber [7]
4 years ago
6

Frank and Gertrude mow lawns for extra money over the summer. Frank's income is determined by f(x) = 5x + 15, where x is the num

ber of hours. Gertrude's income is g(x) = 4x + 20. If Frank and Gertrude were to combine their efforts, their income would be h(x) = f(x) + g(x). Create the new function h(x). If Frank works 4 hours and Gertrude works 4 hours, and if they each get half of the money when they work together, will Frank make more money working alone or by teaming with Gertrude?
Mathematics
1 answer:
Zepler [3.9K]4 years ago
3 0
H(x)=5x+15+4x+20

if x=4, together it would be 5(4)+15+4(4)+20
h(x)=20+15+16+20=71
Divided by 2, they'd each get 35.5

If Frank worked alone, he'd get 5(4)+15= 35
He'd make more working together. 
You might be interested in
The area of a square shaped yard is 201.5 ft2. Which measurement is closest to the side length of this yard in feet?
Aleonysh [2.5K]

Answer:

a = 14.19 feet

Step-by-step explanation:

Given that,

The area of a square shaped yard is 201.5 ft²

We need to find the side length of this yard in feet.

The area of a square shaped object is given by :

A = a², a is the side length of the object

Put A = 201.5 ft² in above formula,

201.5=a^2\\\\a=\sqrt{201.5 } \\\\a=14.19\ \text{feet}

So, the side of the square yard is 14.19 feet.

8 0
4 years ago
Can someone help me plz and thank u
alexandr402 [8]

Answer:

<A = 44

Step-by-step explanation:

A triangle is 180 degrees

(x+59) + (x+51) + 84 = 180        >> add everything on the left side

2x + 194 = 180                          >> subtract both sides by 194

2x = -14                                     >> divide both sides by 2 to get x alone

x = -7

since you are finding A<, substitute

<A = x + 51

<A = (-7) + 51

<A = 44  

3 0
3 years ago
Allison ate 7 of her 20 apples. What percent of the apples did she eat?
Brrunno [24]

Answer:

 Percentage of apples ate by Alison = 35 %

Explanation:

  Percentage of a process = (Number of process in favor / Total number of processes) x 100

  Total number of apples in the hand of Alison = 20

  Total number of apples ate by  Alison = 7

  Percentage of apples ate by Alison = ( Total number of apples ate by  Alison/Total number of apples in the hand of Alison) x 100

                                =\frac{7}{20} *100=35%

  Percentage of apples ate by Alison = 35 %

3 0
3 years ago
Someone help with this question ?????? Hi
8090 [49]
ANSWER

The second statement is the contrapositive of the first.

EXPLANATION

If we have the conditional statement,

x\Rightarrow \: y

Then the converse of this statement is
y\Rightarrow \: x

The inverse of this statement is
\neg \: x\Rightarrow \neg \: y

and the contrapositive of this statement is
\neg \: y\Rightarrow \neg \: x

The correct answer is C.
5 0
3 years ago
Need help finding the area of a compound shape. Need help asap.
beks73 [17]
First, the rectangle:

We have the measurements of a length of 4, and width of 2. The area of a rectangle is Length times Width, therefore:
4x2=8 ft squared for the rectangle.

Now the Triangle:
We see that the whole left side is 4ft, and that the rectangle's width is 2ft; therefore, the left side of the triangle is 2 ft (4-2).
The area of a triangle is 1/2Base times Height. The base is 4, and the height is 2; therefore:
1/2x4x2=4 ft squared.

Now we add our areas for the total:

4+8=12 ft squared

I hope this Helps!
7 0
3 years ago
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