MATHEMATICS MIDDLE SCHOOL

The distance (in miles) traveled when driving at a certain speed s for 24 hours, then driving 17 miles/hour faster for another hour. Express the distance in terms of s

Answers

Answer 1

Answer:

The total distance in terms of 's' will be : (25s+17) miles

Explanation

We know that, $Distance= Speed* Time$

So, the distance traveled at a speed of $s$ miles/hour for 24 hours will be: $d_(1)= (s*24)miles = 24s$ miles.

Now, the speed is 17 miles/hour faster for another hour. So the speed for this another hour is $(s+17)miles/hour$

So, the distance traveled in this another hour $=[(s+17)*1]miles = (s+17) miles$

Thus, the total distance $=[24s+(s+17)] miles = (25s+17) miles$

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Find the surface area

Answers

Surface Area formula of a cylinder:
S.A = 2 × Area of base + Perimeter of base × Height of prism
= 2 $\pi$ r² + 2 $\pi$ rh
= 2 $\pi$ (5)² + 2 $\pi$ (5)(18)
= 50 $\pi$ + 180 $\pi$
= 230 $\pi$ in² ( in terms of $\pi$ )
= 722.566 in²
= 722.7 in² ( to the nearest tenth )

What's the perimeter of a semicircle with a diameter of 12 miles?

Answers

The perimeter, or circumference, of a circle is pi x diameter. A semicircle would just be 1/2pi x diameter. In this case, that would equal 6 pi. If you are supposed to use 3.14 as pi, then it would equal 18.84.

Triangle ABC is similar to triangle YBX. Find the value of n. The figure is not drawn to scale.

Answers

Answer:

Step-by-step explanation:

Set up a proportion: 27/12=36/n

Solve algebraically: 27n=432

n=16

Therefore, 16

Need help pls
we use a+b+c equations barely today HELP PLS IM LOST

Answers

The answer: 59° .
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Explanation:
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a + b + c = 180 .

(in which, "a" , "b", and "c" represent the measurements (in degrees" of each of the THREE (3) angles in a triangle; which always add up to "180 degrees");
______________
Given "a = 65 degrees"; "b = 56 degrees"; Find "c" (the measurement of the "unknown" angle.).
____________________________________________
a + b + c = 180 ;

65 + 56 + c = 180 ; Solve for "c" .
__________________________________

180 - (65 + 56) = c ;
___________________________

Note: 65 + 56 = 121 ;
_____________________________
So: 180 - (65 + 56) = 180 - 121= 59 = c ; ↔ c = 59 .
___________________________________________
The answer: 59° .
_______________________________

What is the scientific notation of 0.0121

Answers

You move to the right, so the exponent is gonna be negative.
1.21 * 10-²

Mr. Conrad's pecan pie recipe calls for 1 3/4 cups of pecans. He plans to make 6 pies for his family reunion. How many cups of pecans will Mr. Conrad need

Answers

According to my calculations the answer is 19.5 or 19.50 you can pick either one but your teacher will probably want the first.

$1 (3)/(4)$ x 6 (or $(6)/(1)$

Change 1 3/4 to an improper fraction = $(7)/(4)$

$(7)/(4)$ x $(6)/(1)$ = $(42)/(4)$ = 10 $(2)/(4)$ cups
Reduce the answer and get 10 $(1)/(2)$ cups

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