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3 years ago

5

Tim can paint a room in 6 hours. Ben can paint the same room in 4 hours. How many hours would it take Tim and Ben to paint the r

oom while working together?

1 answer:

Sladkaya [172]3 years ago

3 0

Find the average.

6+4=10
10/2=5
It takes 5 hours

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How many solutions does the system have? \begin{cases} 5y =15x-40 \\\\ y = 3x-8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5y=15x−40 y=3x−8 C

Ksenya-84 [330]

Answer:

(C) Infinitely many solutions

Step-by-step explanation:

Converting the lines into the from $ax+by+c=0$

$5y=15x-40\\\Rightarrow 15x-5y-40=0$

$y=3x-8\\\Rightarrow 3x-y-8=0$

$\dfrac{a_1}{a_2}=\dfrac{15}{3}=5$

$\dfrac{b_1}{b_2}=\dfrac{-5}{-1}=5$

$\dfrac{c_1}{c_2}=\dfrac{-40}{-8}=5$

So, $\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}$ .

Hence, these lines have infinitely many solutions.

3 0

2 years ago

An item is regularly priced at $80. Juan bought It at a discount of 20% off the regular price. How much did Juan pay?

Gnesinka [82]

Hello there! So, the item has a 20% discount, but Juan still had to pay 80% for the item. To find the amount he paid, all you have to do is multiply the price by the percentage. We multiply by 80%, because he still had to pay the portion of the price. 80 * 80% (0.8) is 64. The. Juan paid $64.

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3 years ago

Please help. Write as a single logarithm, a) log(13)+log(4) b) log(small 5)(14)-log(small 5)(2)

dsp73

Answer:

a) $\log 52$

b) $\log_57$

Step-by-step explanation:

Use logarithm properties:

$\log_ab+\log_ac=\log_a(b\cdot c)\\ \\\log_ab-\log_ac=\log_a\dfrac{b}{c}$

Then

a) $\log 13+\log 4=\log 13\cdot 4=\log 52$

b) $\log_514-\log _52=\log _5\dfrac{14}{2}=\log _57$

7 0

3 years ago

I need help please it would really help

Softa [21]

Answer:

B

Step-by-step explanation:

V = 4/3 * radius^3 * pi = 4/3 * 4^3 * pi = 256 /3 * pi

7 0

2 years ago

In the Sahara Desert one day it was 136oF. In the Gobi Desert a temperature of

coldgirl [10]

Answer: $186^{\circ}F$

Step-by-step explanation:

Given : In the Sahara Desert one day it was 136°F.

In the Gobi Desert a temperature of -50°F was recorded.

Clearly , 136°F> -50°F

Then, the difference between these two temperatures will be :-

$136^{\circ}F-(-50)^{\circ}F\\\\=(136+50)^{\circ}F\ \ [\because \text{Product two neagtive sign is positive]}\\\\=186^{\circ}F$

Hence, the difference between these two temperatures = $186^{\circ}F$

7 0

2 years ago