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aleksklad [387]
3 years ago
11

The scatter plot The scatter plot shows the relationship between the amount of gasoline g, in gallons, in a fuel tank and the di

stance traveled d, in miles, after filling the tank.

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Answer:

D

Step-by-step explanation:

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a car travels 120 mi. a second car, travelling 10 mph faster than the first car, makes the same trip in 1 hr less time. find the
Murrr4er [49]

<span>Let x be the speed of the first car, then (x + 10) is the speed of the second car.

We can write the equation by the condition of the problem:
</span>
\frac{120}{x}- \frac{120}{x+10}=1 \\ 120(x+10)-120(x)=1(x)(x+10)   \\ 120x+1200-120x=x^2+10x \\ x^2+10x-1200=0 \\ D=b^2-4ac=10^2-4*1*(-1200) = 100+4800 = 4900 \\ x_{1,2}= \frac{-bб \sqrt{D} }{2a}  \\  \\ x_1= \frac{-10- \sqrt{4900} }{2}= \frac{-10-70}{2} = -\frac{80}{2}=-40 \ \  \ \O

x_2= \frac{-10+ \sqrt{4900} }{2}= \frac{-10+70}{2} = \frac{60}{2}=30  mph s<span>peed ​​of the first car
</span>
Then 30+10=40 mph speed ​​of the second car

Answer: 30mph and 40 mph.


<span>I hope this helps.</span>
8 0
4 years ago
Simplify y+1&lt;3 please need help
Zepler [3.9K]
STEP-BY-STEP SOLUTION:

Let's first establish the inequality which we need to solve as displayed below:

y + 1 < 3

To begin with, we need to make ( y ) the subject by keeping it on the left-hand side of the inequality and placing all other numbers on the right-hand side of the equality as displayed below:

y + 1 < 3

y < 3 - 1

Then, we simply simplify / solve as displayed below:

y < 3 - 1

y < 2

ANSWER:

y < 2
4 0
3 years ago
Kevin has a rectangular
Nikitich [7]

Answer:

20 feet long

Step-by-step explanation:

To solve this you need to use the Pythagorean theorum, a^2+b^2=c^2, where c is the length of rope needed and A and B are the side lengths. Think of it like a right triangle.

So, the equation is

12^2+16^2=c^2

Which is then

144+256=c^2

c^2=400

And the possible values of c are 20 and -20.

From here we know the answer cannot be -20 because you cannot have a negatively long length of rope, so the answer must be 20 feet.

5 0
3 years ago
Read 2 more answers
How do you solve 30&gt;-(5z+15)+10z
AlekseyPX
Math:

Step #1: Simplify both sides of the inequality.
<span>30><span>5z−15

</span></span>Step #2: Flip the equation.

<span><span>5z−15</span><30

</span>Step #3: Add 15 to both sides.
<span><span><span>5z−15</span>+15</span><<span>30+15

</span></span><span>5z<45

</span>Step #4: Divide both sides by 5.

<span><span>5z/5=45

Your Answer:
</span></span><span>z<9</span>
6 0
3 years ago
Read 2 more answers
Hamilton received a 75 on his algebra exam. The professor is allowing students to take a 7-question bonus quiz to improve their
kodGreya [7K]
The answer is A.

Since each question answered right would add 3 points, the amount of questions answered correctly would be x. You then going to add that to his original score, 75. He needs at least a 90, so 90 is the lowest test grade he can afford. Therefore, 90 is should be the greatest number since there are no less than, equal to and such. Knowing that, the answer would be A

Hope this helps!
7 0
3 years ago
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