Suppose the temperature outside is dropping 3° each hour. How much will the temperature change in eight hours

Shaniqua is saving money to buy a new television that costs $252. She already has $87 saved. If she gets paid $11 per hour,how m

suter [353]

Answer: 15 hours

Step-by-step explanation:

Total cost of TV = $252, Savings= $87. So, she will require, $252-$87 = $165 to buy TV.

Also, it's given that, she gets paid $11 per hour.

Therefore, she will require 165/11 hours = 15 hours to buy new Tv at the wage rate of $11/ hour.

8 0

3 years ago

An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th

7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b = 2500 ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115 ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a = $500

Put this value of a in eq 1

500 + b = 2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0

3 years ago

Please help ASAP!

Kruka [31]

First, recall that

$\sin(-\theta)=-\sin\theta$

So if $\sin(-\theta)=\dfrac15$ , then $\sin\theta=-\dfrac15$ .

Second,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}$

We know that $\tan\theta>0$ and $\sin\theta$ , which means we should also have $\cos\theta$ .

Third,

$\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}$

but as we've already shown, we need to have $\cos\theta$ , so we pick the negative root.

Finally,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}$

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

6 0

4 years ago

If Adrianna can read 7 pages in 10 minutes. At this rate, how many page can she read in 25 minutes?

lesya692 [45]

3.5 : 5

7 : 10

14 : 20

17.5 : 25

At that rate, she can read 17.5 pages in 25 minuets.

Divide both 7 and 10 by 2, which gets 3.5 and 5

5 * 5 = 25

5 * 3.5 = 17.5

Therefore, in 25 minuets, she can read 17.5 pages.

4 0

3 years ago

Read 2 more answers

Fantastic pins Bowling Alley charges $2.50 for shoe rental plus $3.25 for each game. Write an expression representing the cost t

harina [27]

X= 2.50g
have a great day

6 0

3 years ago