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iVinArrow [24]
3 years ago
6

Rewrite the expression using the GCF and the distributive property (39+91)

Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

1. 13\cdot (3+7)

2. $2,520

Step-by-step explanation:

1. Given numbers 39 and 91. Factorize them:

39=3\cdot 13\\ \\91=7\cdot 13,

then

GCF(39,91)=13

Use distributive property:

39+91=3\cdot 13+7\cdot 13=13\cdot (3+7)

2. Month salary = $2,100

To find 10% of $2,100, just multiply $2,100 by 0.1 (because 10% is 0.1 as decimal):

\$2,100\cdot 0.1=\$210

$210 is the monthly tax, then the year tax is

\$210\cdot 12=\$2,520

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How many solutions does the system have? y = -2x-4 \\\\ y = 3x+3
lakkis [162]

Answer:

The system has one solution.

Step-by-step explanation:

We have two equations:

y = -2x - 4

y = 3x + 3

Equalling them:

y = y

-2x - 4 = 3x + 3

5x = -7

x = -\frac{7}{5}

And

y = 3x + 3 = 3(-\frac{7}{5}) + 3 = \frac{-21}{5} + 3 = \frac{-21}{5} + \frac{15}{5} = -\frac{6}{5}

Replacing in the other equation we should get the same result.

y = -2x - 4 = -2(-\frac{7}{5}) - 4 = \frac{14}[5} - 4 = \frac{14}{4} - \frac{20}{5} = -\frac{6}{5}

So the system has one solution.

3 0
3 years ago
Find the equation of the line with slope m=1 that contains the point (7,5).
katovenus [111]

Answer:

y = x - 2

Step-by-step explanation:

y = mx + b

5 = 1 (7) + b

5 = 7 + b

b = -2

So...

y = x - 2

7 0
2 years ago
Can someone help me with this math work and please explain why the answer is what it is
Anettt [7]

Answer: 58unit²

Step-by-step explanation:

We will take 1 square as 1 unit

We will count the number of squares in in this figure.

Total squares = 58

Area = 58unit²

please click thanks and mark brainliest if you like :)

4 0
2 years ago
Reggy is a reading a 340 page book. It takes him 7 days to read the first 119 pages. At this rate, how much longer will it take
julsineya [31]

Answer:

13

Step-by-step explanation:

If he reads 119 pgs in 7 days that mean 119/7 = 17 he reads 17 pgs per day

next 340-119 = 221 then 221/17= 13

5 0
3 years ago
Solve the problem. Round to the nearest hundredth of a percent if needed. During clinical trials of a new drug intended to reduc
Mars2501 [29]
Based on the given table above, the correct answer would be option D. 2.18%. So how did we get this result. Looking at the table, the number of adults experiencing nausea is 24 and the total number of trial members is 1100. So given these values, the p<span>robability of getting nausea (as a percentage) is (24/1100)*100. (0.0218)*100, so we get 2.18. Which gives the probability of 2.18%. Hope this answer helps.</span>
8 0
3 years ago
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