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Pani-rosa [81]
3 years ago
6

If the ratio of purple bikes to red bikes is 8 to 12 and there are a total of 100 bikes, how many of them are purple? * 40 purpl

e bike 60 purple bikes 67 purple bikes 150 purple bikes
Mathematics
1 answer:
Marrrta [24]3 years ago
4 0

Answer:

60

Step-by-step explanation:

sum the parts of the ratio, 8 + 12 = 20 parts

Divide the total by 20 to find the value of one part of the ratio

100 ÷ 20 = 5 ← value of 1 part of the ratio , thus

8 parts = 8 × 5 = 40 ← number of purple bikes

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Solve 5(11x - 2) = 155
julia-pushkina [17]

Answer:

5(11x-2) = 155

55x - 10 = 155

55x = 165

x = 165/55

x = 3

Step-by-step explanation:

hope it helps

5 0
3 years ago
Kevin asked his trainee, Anna, to help call some of his clients to sell a newly-issued municipal bond. If he had to call all of
weqwewe [10]

Answer:

3.6 hours

Step-by-step explanation:

To solve, create a Rate, Time, Work chart:

Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.

The work is 1 job of calling all clients, so their combined work is equal to 1.  

x over 6 plus x over 9 equals 1

In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together.  With rational equations, the terms can be added together once they have common denominators.  

x over 6 plus x over 9 equals 1

fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction

fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54

9 x plus 6 x equals 54

15 x equals 54

x equals 3.6

If Kevin and Anna work together, they can call all the clients in 3.6 hours.

7 0
3 years ago
The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0
3 years ago
Evi’s watch is water resistant up to -15 feet. Mateo’s watch is water resistant up to 8 times the depth of Evi’s watch. Mateo’s
frez [133]

Answer:-120

Step-by-step explanation:

-15 x 8

6 0
3 years ago
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10 miles = ________feet
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