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andreyandreev [35.5K]
4 years ago
6

Can some one please help me ?

Mathematics
2 answers:
Vanyuwa [196]4 years ago
8 0
v=\frac{s}{t}\Rightarrow s=vt\\\\v-speed;\ s-distance;\ t-time\\\\v=52mph;\ t=3h\ 15min=3h+\frac{15}{60}h=3h+\frac{1}{4}h=3h+0.25h=3.25h\\\\\\\boxed{s=52mph\times3.25h=169mi}\leftarrow answer
jekas [21]4 years ago
4 0
3 hours and 15 minutes is the same as  3.25 hours.

If the car travels 52miles each hour, and it keeps going and
doesn't stop, then it would travel 52 miles 3.25 times.

3.25 times 52 = <em>169 miles</em>
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An investment of ​$29,000 was made by a business club. The investment was split into three parts and lasted for one year. The fi
lina2011 [118]

Answer:

The amounts of three parts of the investment are 18000, 6000, 5000 respectively.

Step-by-step explanation:

An investment of ​$29,000 was made by a business club.

Let the amount of first and second investment be x and y respectively. So, the amount of third investment is (29000-x-y).

The first part of the investment earned​ 8% interest, the second​ 6%, and the third​ 9%. Total interest from the investments was $ 2250.

0.08x+0.06y+0.09(29000-x-y)=2250

On simplification we get

-0.01x-0.03y+2610=2250

-0.01x-0.03y=2250-2610

-0.01x-0.03y=-360

0.01x+0.03y=360                  ..... (1)

The interest from the first investment was 4 times the interest from the second.

0.08x=4(0.06y)

0.08x=0.24y

x=3y                               .... (2)

From (1) and (2) we get

0.01(3y)+0.03y=360

0.03y+0.03y=360

0.06y=360

Divide both sides by 0.06.

y=6000

Put this value in equation (2).

x=3(6000)=18000

The amount of third investment is

29000-x-y=29000-18000-6000=5000

Therefore the amounts of three parts of the investment are 18000, 6000, 5000 respectively.

7 0
3 years ago
What is the closed linear form for this sequence given a1 = -15 and an + 1 = an - 8?
Elza [17]

Answer:

<h3>a_n=-8n-7 is the closed linear form of the given sequence.</h3>

Step-by-step explanation:

Given that a_1=-15 and a_{n+1}=a_n-8

<h3>To find the closed linear form for this given sequence :</h3>

So each of the successive term of the given sequence is decreases by 8

Therefore the common difference is -8

The given sequence is a arithmetic sequence.

The general form is a_n=a_1+(n-1)d

Substitute a_1=-15 and d=-8 in a_n=a_1+(n-1)d we get

a_n=-15+(n-1)(-8)

=-15-8n+8

a_n=-8n-7

<h3>Therefore a_n=-8n-7 is the closed linear form of the given sequence.</h3>

7 0
4 years ago
Read 2 more answers
Como resuelvo 8 (3a+6)=9 (2a-4)
tatyana61 [14]
24a+48=18a-36
24a-18a=-36-48
6a=-74
a=-74/6
a=-37/3
3 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. ∆ABC rotates 90° cl
Anna35 [415]
Hey there Katie,

Your question states: Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. ∆ABC rotates 90° clockwise about point P to form ∆A′B′C′. So if we were to rotate the shape 2 which is ∆A′B′C′ toward to P. That would leave us with a 90° angle. So in this case,It would be B'A'C'∆.
<span>
Hope this helps you Katie!

~Jurgen

</span>
5 0
3 years ago
Read 2 more answers
Three friends worked out on treadmills at the gym. Aiden walked 2 miles in 3/4 hour. Kira walked 1 3/4 mile in 30 minutes. Joe w
geniusboy [140]

Answer:

kira

Step-by-step explanation:

1.75*4 is greater than 1*5

3 0
3 years ago
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