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3 years ago

LESSON 8. QUIZ

Mathematics

1 answer:

densk [106]3 years ago

8 0

Answer:

for #3 is c 4 is true then 5 false and 6 is d

Step-by-step explanation:

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Find the value of a and b<br>(a) 3: 5 = a: 15<br><br>(b) 40: 16 = 10:b

masha68 [24]

Answer:

a = 9 I think

Step-by-step explanation:

I am still trying do b

4 0

4 years ago

Rearrange y =1/2x+1to make x the subject.

ella [17]

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$y = \frac{1}{2} x + 1 \\$

Multiply sides by 2

$2 \times y = 2 \times ( \frac{1}{2} x + 1) \\$

$2y =( 2 \times \frac{1}{2} x) + (2 \times 1) \\$

$2y = x + 2$

$x + 2 = 2y$

Subtract sides 2

$x + 2 - 2 = 2y - 2$

$x = 2y - 2$

Done...

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3 0

3 years ago

Read 2 more answers

A stock has a return of −$1.26 per day. Write and solve an equation to find the number n of days until the total return is −$10.

Illusion [34]

-$10.08 / -$1.26 = n

check answer

8 * $ -1.26 = - $10.08

7 0

3 years ago

DeAngelo is training for a half marathon. Today he is running 13.25 miles. He jogs for the first half hour at a rate of 5.5 mile

Nezavi [6.7K]

For this case, the first thing we must do is define a variable.
We have then:
p: rate in miles per hour for the last 1.5 hours
We now write the equation that models the problem.
We have then:
$(0.5) * (5.5) + 1.5p = 13.25
$
Rewriting we have:
$2.75 + 1.5p = 13.25
$
From here, we clear the value of p.
We have then:
$1.5p = 13.25 - 2.75

p = 10.5 / 1.5

p = 7$
Answer:
DeAngelo's rate for the last 1.5 hours of his run is 7 miles per hour.

5 0

3 years ago

A countrys population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using exponential gro

denpristay [2]

Answer:

<h2>171 million</h2>

Step-by-step explanation:

Given the exponential growth formula expressed as $P = Ae^{kt}$ where P is the countrys population and t is the time.

Initially in 1991, at t= 0, P = 147 million

$P = Ae^{kt}\\147 = Ae^{k(0)}\\147 = Ae^0\\147 = A(1)\\A = 147$

If by 1998 it was 153 million, this means that the population is 153 million 7 years later i.e when t = 7, P = 153. On substituting into the formula to get the constant 'k';

$P = Ae^{kt}\\153 = 147e^{k(7)}\\153 = 147e^{7k}\\153/147 = e^{7k}\\e^{7k} = 1.041\\Taking \ ln \ of \ both \ sides\\lne^{7k} = ln 1.041\\7k = 0.04018\\k = 0.04018/7\\k = 0.00574$

To estimate the population in 2017, to number of years from 1991 to 2017 is 26 years. Hence we are to find the value of P given t = 27, A = 147 and k = 0.00574

$P = Ae^{kt}\\P = 147e^{0.00574*26}\\P = 147e^0.14924\\P = 147*1.16095\\P = 170.659$

<em>Hence the population in 2017 using exponential growth formula to the nearest million is 171 million.</em>

3 0

4 years ago