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4 years ago

One number is 3 more than another. Their sum is -13. Find the numbers

1 answer:

4 0

According to the question if we take one number as a M and 3 more than other represent m+3
so the equation will be : m+(m+3)=-13
2m+3=-13
2m=-16
m=-8(one number)
to get another number plug in -8 for m and that gives us -8+3=-5
prove if we pluged in all than we get the same result,-8-5=-13
that was the prove of that math hopefully you get it

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3. The scale of a model car is 1:32.

Murljashka [212]

Answer: Third option.

Step-by-step explanation:

Let be "x" the approximate actual width of the car (in feet).

According to the information provided in the exercise, you know that the scale of the model car is:

$1:32$

By definition, this can be written as a fraction:

$\frac{1}{32}$

Therefore, if you know that the width of the model car is 2.3 inches, you can set up the following proportion:

$\frac{1}{32}=\frac{2.3}{x}$

Finally, you must solve for "x" in order to find its value.

This is:

$(x)(\frac{1}{32})=2.3\\\\x=(2.3)(32)\\\\x=73.6$

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4 years ago

A man invested a certain amount of money in two separate projects in the ration 3:2. His profit was calculated on interest rates

Aneli [31]

Answer:

100,000

Step-by-step explanation:

Investment ratio = 3 : 2

Rate = 5% and 4% simple interest

Total interest after 2 years = 9200

Let total investment = t

(3/5t * 0.05 * 2) + (2/5t * 0.04 * 2) = 9200

3/5t * 0.1 + 2/5t * 0.08 = 9200

0.06t + 0.032t = 9200

0.092t = 9200

t = 9200 / 0.092

t = 100,000

3 0

3 years ago

The population of a small town is decreasing by 2% per year. The population in the year 2017 was 3,850. A. By how many people wi

lesya692 [45]

Answer:

A. 77

B. 3,773

Step-by-step explanation:

According to the problem, computation of given data are as follows,

Population in 2017 = 3,850

Decrease rate = 2% per year

(A) We can calculate number of population decrease from 2017 to 2018 by using following formula,

Number of population decrease = Population in 2017 × Decrease rate

= 3,850 × 2%

= 77

(B). Total population in 2018 = 3,850 - 77

= 3,773

7 0

3 years ago

A board 10ft long is cut into two pieces. Four times the length of the shorter piece is 2ft less than two times the length of th

Gre4nikov [31]

Answer:

7 ft

Step-by-step explanation:

Let x be the shorter and y be the longer length

x + y = 10

x = 10 - y

4x = 2y - 2

4(10 - y) = 2y - 2

40 - 4y = 2y - 2

6y = 42

y = 7

7 0

3 years ago

An opinion poll asks a simple random sample of 100 college seniors how they view their job prospects. In all, 53 say "good." Doe

ValentinkaMS [17]

Answer:

We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

Step-by-step explanation:

Information provided

n=100 represent the random sample ofcollege senior selected

X=53 represent the college seniors who say good

$\hat p=\frac{53}{100}=0.53$ estimated proportion of seniors who think their job prospects are good

$p_o=0.5$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we have:

$z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=0.6$

The p value for this case would be given by

$p_v =P(z>0.6)=0.274$

7 0

4 years ago