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Drupady [299]
2 years ago
13

Im

Mathematics
1 answer:
Natali [406]2 years ago
8 0

Answer:

a) 9 miles

b) 6 miles

c) 3 miles

Step-by-step explanation:

a)  Clare's speed = 12 mph

Calculate Clare's speed in miles per minute by dividing 12 by 60 (as there are 60 minutes in an hour):

12 ÷ 60 = 0.2 miles per minutes

Therefore, position after 45 minutes:  45 x 0.2 = 9 miles

b) Han's speed = 8 mph

Calculate Han's speed in miles per minute by dividing 8 by 60 (as there are 60 minutes in an hour):

8 ÷ 60 = 2/15 miles per minutes

Therefore, position after 45 minutes:  45 x 2/15 = 6 miles

c) Distance between Clare and Han = 9 - 6 = 3 miles

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-3x+10y=-60<br> 3x+5y=15
Verdich [7]

Answer:

x=10, y=-3

Step-by-step explanation:

solve by addition/elimination

6 0
3 years ago
Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the
Rama09 [41]

<em><u>Question:</u></em>

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s   2s   3s   4s

<em><u>Answer:</u></em>

It takes 2 seconds for object to hit the ground

<em><u>Solution:</u></em>

<em><u>The given equation is:</u></em>

h(t) = -16t^2 + v_0t+h_0

Initial velocity = 27 feet/sec

h_0 = 10\ feet

Therefore,

h(t) = -16t^2 +27t+10

At the point the object hits the ground, h(t) = 0

-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0

Solve by quadratic formula,

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

7 0
3 years ago
2. which equation represents this sentence? one-half the sum of a number and four is three less than the quotient of five and th
Triss [41]
The question is asking to choose among the following choices that states the question that represent the said sentence in your question and base on the fact and further understanding about the said sentence, I would say that the answer would be ((x+4)/2)-3(4/x). I hope you are satisfied with my answer and feel free to ask for more 
8 0
3 years ago
There are 5 consecutive integers that sum to 190. What are the integers?
KATRIN_1 [288]

Answer:

x+x+1+x+2+x+3=190

4x+6=190

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x=46

Step-by-step explanation:

the numbers are 46&47&48&48

so your answer is 48

8 0
3 years ago
Screen Shot 2021-05-25 at 9.56.13 AM
lapo4ka [179]

Answer:

where is the question

have a good day :)

Step-by-step explanation:

8 0
3 years ago
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