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Vsevolod [243]
4 years ago
9

Question: Write an expression for each statement to represent the quantity in terms of its context. 1. A car rents for $35 per d

ay plus 15 cents per mile driven. 2. The sum of three consecutive even integers. 3. One-fifth of the sum of r and 7 minus the product of 9 and s 4. On a farm, the number of cows is 70 more than half the number of goats and sheep.
Mathematics
1 answer:
Kryger [21]4 years ago
6 0

Answer:

Say you have to find two consecutive integers whose sum is 89. How do you go about this problem? You first take a variable, say x, the value of which is unknown to you. Next, you are supposed to take another number. Since the problem requires you to use two consecutive integers, the integer next to x will be (x + 1). Now as per the problem, the sum of x and (x+1) is 89. We represent this in the form of an equation: x + (x + 1) = 89. Solving this equation we get x as 44 and the next integer (x + 1) as 45, the sum of which is 89.

Step-by-step explanation:

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Jill has a swimming pool in her backyard. It is shaped like a rectangle and measures approximately 16.3 feet wide and 26.2 feet
balu736 [363]

Answer:

The dimensions of swimming pool are:

Length = 26.2 feet

Width = 16.3 feet

Height = 5 feet

During a few hot weeks during the summer, some water evaporates from the pool, and Jill needs to add 8 inches of water to the depth of the pool.

We will convert 8 inches o feet.

1 inch = 1/12 feet

So, 8 inch = 8/12=0.66 feet

Now we have to tell how much water will be there in 0.66 feet depth.

So, volume = 16.3\times26.2\times0.66=281.86 cubic feet.

1 cubic feet has 7.480 gallons

So, 281.86 cubic feet will have 281.86\times7.480=2108.31 gallons of water.

7 0
4 years ago
Find equations for those tangent lines to<br> the graph of<br> y = x − 3/x
pychu [463]

Step-by-step explanation:

y=X -3/X

y=X/1 -3/x

y= 2x -3/x

y*X= 2x-3

y*X/2 = x-3

7 0
3 years ago
Anyone know the answer to this?
stira [4]

Answer:

124.80 ft

Step-by-step explanation:

Height of Daniel = 6 ft

The angle of elevation from his eyes to the top of the statue is = 68°

Daniel is 48 ft away from the base of the statue

To find the height of the statue apply the tangent of an angle formula then add height of Daniel as;

Tan 68° = h/48

h= {48 tan 68°} + 6 ft

h= 124.804168964

h= 124.80 ft

4 0
3 years ago
What is negative 1/4 multiplied by 1/4
Marysya12 [62]

Answer:

-1/4*1/4= -1/16

5 0
3 years ago
The private school enrollment of a city is 12.000. Enrollment is increasing at a rate of 4.5% annually. What would the
irakobra [83]

Answer:

28940.568

Step-by-step explanation:

3 0
3 years ago
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