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olga nikolaevna [1]
3 years ago
14

Two thirds of the parade vehicles were vintage vehicles and 1⁄3 of the vintage vehicles were motorcycles. What fraction of the t

otal parade vehicles are motorcycles?
Mathematics
1 answer:
Liula [17]3 years ago
5 0

Answer:the fraction of the total parade vehicles that are motorcycles is 2/9

Step-by-step explanation:

Let x represent the total number of parade vehicles.

Two thirds of the parade vehicles were vintage vehicles. This means that the total number of vintage vehicles would be

2/3 × x = 2x/3

1⁄3 of the vintage vehicles were motorcycles. This means that the total number of motorcycles would be

1/3 × 2x/3 = 2x/9

Therefore, the fraction of the total parade vehicles that are motorcycles would be

2x/9/x = 2/9

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Write an equation of a line in point-slope form that has a slope of -2 and passes through (5, -1).
gavmur [86]

Answer:

y+1=-2(x-5)

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and the slope.  

We will substitute m=-2 and x_1=5\\y_1=-1.

y-(-1)=-2 (x-5)

y+1=-2(x-5)

This is the equation of the line with slope -2 that passes through (5,-1).


8 0
3 years ago
Yoko has scored 81 , 84 , 84 , 69 , and 76 on her previous five tests. What score does she need on her next test so that her ave
kkurt [141]
Took must make a 92 on the next test.
(81+84+84+69+76+x)/6=81
(394+x)/6=81
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394 + x = 486
Subtract 394 from both sides.
x= 92
7 0
4 years ago
Find the interest earned.
MakcuM [25]
September
30-10=20 days
October 31
November 10
Time=20+31+10=61 days
A=42,000×(1+0.035÷365)^(61)
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I=42,246.38−42,000
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5 0
3 years ago
A boat is 122 meters from the base of a lighthouse. The lighthouse is 34 meters tall. The angle formed with the lighthouse and s
mojhsa [17]

Answer:

about 16°

Step-by-step explanation:

Make sure your calculator is in degree mode.

Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:

\tan( \alpha )  =  \frac{34}{122}

\alpha  =  { \tan }^{ - 1}  \frac{34}{122}  = 15.57

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2 years ago
Whoever helps me will be lucky for the rest of your life
Anvisha [2.4K]

Answer:

A) 3.5

16 shovels full

Step-by-step explanation:

9x + 13 = 17x - 15

8x = 28

x = 3.5

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0.75x = 12

x = 16

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3 years ago
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