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Murrr4er [49]
3 years ago
9

Suppose you drive a car M miles on G gallons of gas. The number of miles you drive in your car is equal to 30 times the number o

f gallons of gas used. Which direct variation equation represents this situation?
Mathematics
1 answer:
mamaluj [8]3 years ago
7 0
That would  be M = 30G   where M is in miles and G is in gallons.
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-3(y-5)=24 what is the value of y
Gemiola [76]
Step 1
distribute the -3
-3(y-5)=24
-3y+15=24
step 2
subtract 15 from both sides
-3y =9
Step 3
divide -3 on both sides
y=-3
5 0
3 years ago
Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an v
noname [10]

Answer:

If b=-3 then the first expression is equal to 24 and the second expression is equal to -14.

If b=-2 then the first expression is equal to 8 and the second expression is equal to -36.

If b=10 then the first expression is equal to 440 and the second expression is equal to 324.

Yes, it is true.

Step-by-step explanation:

b=-3:

4b(b+1)=4(-3)(-3+1)=-12(-2)=24

(2b+7)(2b-8)=(2(-3)+7)(2(-3)-8)=(-6+7)(-6-8)=1(-14)=-14

b=-2:

4b(b+1)=4(-2)(-2+1)=-8(-1)=8

(2b+7)(2b-8)=(2(-2)+7)(2(-2)-8)=(-4+7)(-4-8)=3(-12)=-36

b=10:

4b(b+1)=4(10)(10+1)=40(11)=440

(2b+7)(2b-8)=(2(10)+7)(2(10)-8)=(20+7)(20-8)=27(12)=324

8 0
3 years ago
The function f(x) = 2x + 510 represents the number of calories burned when exercising, where x is the number of hours spent exer
riadik2000 [5.3K]

Answer: 789 calories burned while combining diet with 2 hours of exercise

Step-by-step explanation:

we have that

f(x)=2x+510

g(x)=200x-125

we know that

(f+g)(x)=f(x)+g(x)

substitute

(f+g)(x)=2x+510+200x-125

(f+g)(x)=202x+385

Find (f+g)(2)

For x=2 hours

substitute

(f+g)(2)=202(2)+385

(f+g)(2)=789\ calories

therefore

The answer is

789 calories burned while combining diet with 2 hours of exercise

8 0
3 years ago
Simon has $40 to buy baseballs for her team's practice. Each baseball cost $3. Which inequality represents this situation?
Liula [17]
3b<40 because no matter what the price cannot be over 40 because she only has 40
4 0
3 years ago
Read 2 more answers
a bank is offering a simple interest of 3.2% on a saving account , if i deposit $15000, how much will the interest be in 6years?
kotykmax [81]

Answer:

$2,880

Step-by-step explanation:

interest = (principal * rate * time)/100

= (15000 * 3.2 * 6)/ 100

= 2880

8 0
3 years ago
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