All the members of a construction crew work at the same pace. Four of them working together are able to pour concrete foundations in 32 hours. How many hours would this job take if the number of workers:

Increased 2 times

Increased 4 times

Problem 14 and problem 16 are missing the diagrams needed to answer the questions. Thankfully, there is enough info for me to answer problem 15, which I'll do so below.

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If we have a triangle with side lengths a,b,c then we can write this compound inequality

b-a < c < b+a

If we knew the value of a and b, then we can find a range for c.

In our case, a = 5, b = 12, c = n, so,

b-a < c < b+a

12-5 < n < 12+5

7 < n < 17

The value of n is between 7 and 17. The value of n cannot equal 7, and it also can't equal 17 either.

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Final Answer for problem 15 is choice C) 7 < n < 17

Answer:

If both computers are working together, it will take 24 minutes to do the job

Step-by-step explanation:

It is given that,

There are two computers.The slower computer can send all the company's email in 60 minutes.

The faster computer can complete the same job in 40 minutes

To find the LCM of 40 and 60

LCM (40, 60) = 120

To find efficiency of 2 computers

Let x be the efficiency of faster computer and y be the efficiency of faster computer

x = 120/40 = 3

y = 120/60 = 2

then, x + y = 3 + 2 = 5

Therefore efficiency of both the computer work together = x + y =5

To find the time taken to work both the computer together

time = 120/5 = 24 minutes

The slower computer works at a rate of 1/60 of the task in a minute, and the faster computer works at a rate of 1/40 per minute. When they work together, they perform 1/24 of the task per minute, and hence, they would complete the task in 24 minutes.

The subject of this question is Mathematics, specifically focused on the topic of rates and time. The slower computer sends all the company's email in 60 minutes, which implies it can perform 1/60 of the task per minute. The faster computer can send all the company's email in 40 minutes, inferring that it works at a rate of 1/40 of the task per minute.

When both computers are working together, their rates of working are added together, therefore they perform (1/60) + (1/40) = 1/24 of the task per minute. The reciprocal of this fraction gives the total time it would take both computers to complete the task, i.e., 24 minutes when working together. So, it would take 24 minutes for both computers to send all the company's emails if they work together.

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Answer:

The geometric mean of 2 and 8 comes out to equal 4.

Step-by-step explanation:

Answer:

40 students

Step-by-step explanation:

Lets multiply:

5:3 = 10:6 = 20:12 = 25:15

Since 25 is 10 more than 15, these are the actual numbers we need.

25 + 15 = 40 students.

Answer:

If the ratio is 5:3 boys to girls and there are 10 more boys than girls, there would be 15 girls and 25 boys, for a total of 40 people.

Step-by-step explanation:

To solve the ratio, we need to set up a proportion and assign a variable to solve for.  In this case, we can make 'x' the number of girls and 'x+10' the number of boys.  We know that the ratio of boys to girls is 5 to 3, so we can set up a proportion where 5/3 = (x+10)/x.  In order to solve a proportion, we would cross-multiply and divide in order to get a two-step equation to solve for the variable.  When we cross-multiply, we get 5x=3(x+10), or 5x=3x + 30.  Using inverse operations, first subtracting the '3x' from both sides to get 2x=30, and then dividing both sides by 2 to get x=15.  Remember, that 15 represents the number of girls.  The number of boys is equal to  'x+10' or 15 +10=25.  Then the total number of people is 15+25=40.

Answer:

The enlargement will be 30 ft by 7.5 ft.

Step-by-step explanation:

A scale drawing is a larger or smaller version of an object. To find the dimensions of the new drawing, multiply each measurement by the scale factor. The scale factor here is 5/2 or 2.5.

12(2.5)=30 ft

3(2.5)=7.5 ft

Answer:

10

Step-by-step explanation:

Noah spends $1.50 for every taco, meaning that the cost is 3/2 of the amount of tacos. To get the amount of tacos, find 2/3 of 15.

To determine the number of feet per second a squirrel can run, observe its speed and measure the distance it covers in a given time. Mark a short distance on the ground, start a timer as the squirrel begins running, stop the timer when the squirrel reaches the end, and divide the distance by the time to calculate the speed.

To determine the number of feet per second a squirrel can run, you can observe its speed and measure the distance it covers in a given time. Here are the steps:

For example, if the squirrel covers 10 feet in 2 seconds, its speed would be 10/2 = 5 feet per second.

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Answer:

Step-by-step explanation: Do 24 / 3 is 8

and to check your work do 8 x 3 which is 24

Hope This Helps ^_^

Final answer:

To find the number of men at the college, divide the total number of students by the sum of the parts in the ratio (6+5) and then multiply by the number of parts for men (6/11). The answer is 1920 men at the college.

Explanation:

To find the number of men at the college, we need to use the ratio of men to women. The ratio is given as 6 to 5, which means there are 6 parts for men and 5 parts for women.

To calculate the number of men, we divide the total number of students by the sum of the parts in the ratio (6+5).  

So, the number of men is (6/11) * 3520 = 1920. Therefore, there are 1920 men at the college.

Answer:

Option A - $83.39

Step-by-step explanation:

Given : Lanny’s credit card has an APR of 33%, calculated on the previous monthly balance. His credit card record for the last 7 months is shown in the table below.

To find : What is the new balance at the end of month 7?    

Solution :  

From the table, the information of 7 month

Previous balance = $74.33

Payment = $91.98

Unpaid balance = Previous balance - Payments

                          = $74.33 - $91.98

Unpaid balance  = -$17.65

Finance charge = $2.04

New charges = $99

New balance =  Unpaid balance + finance charge + new charges

New balance =  -$17.65 +$2.04+ $99

New balance =$83.39

Therefore, Option A is correct.

Answer:

B

Step-by-step explanation:

Graph the line by first using slope and y- intercept

Slope=-1/3

y-intercept =-2

(0,-2)

(1,-7/3)

Then graph those two points and that graph is B

Answer:

B    Please give brainliest

Step-by-step explanation:

I took points from the line and put it into the equation.  

(0,-2)

3(0) + 9(-2) = -18   (This works out)

Next....

(-3,-1)

3(-3) + 9(-1) = -18   (This also works)

Answer:

12n +6

Step-by-step explanation:

5n + 6 + (7n)

The first step is to combine like terms

I put the like terms next to each other.

5n + 7n +6

12n +6

Answer:

The distance from Old Towne to Bridgeway is 15 11/12 miles.  

Step-by-step explanation:

In order to find the distance from Old Towne to Bridgeway, we need to subtract the posted distances for these two cities.  Since Old Towne is 36 1/3 miles away and Bridgeway is 52 1/4 miles away, we need to subtract 36 1/3 from 52 1/4.  We cannot subtract fractions with unlike denominators, so we need to find the lowest common denominator of 3 and 4, which is 12.  When we make the fraction of 1/4 over a denominator of 12 we get 3/12 and when we convert 1/3 to a fraction with a denominator of 12, we get 4/12.  Since we can not subtract 4 from 3, we need to take one away from 52 and add it to our fraction to become 51 15/12.  Subtracting 51 15/12 - 36 4/12 = 15 11/12 miles.

Final answer:

The distance from Old Towne to Bridgeway is calculated by subtracting the distance to Old Towne from the distance to Bridgeway, resulting in 15 11/12 miles.

Explanation:

To determine the distance between Old Towne and Bridgeway, we subtract the distance from the starting point to Old Towne from the distance to Bridgeway. Old Towne is 36 1/3 miles away, and Bridgeway is 52 1/4 miles away. We must first convert these mixed numbers to improper fractions to do the subtraction.

Convert 36 1/3 to an improper fraction: (36 × 3) + 1 = 108 + 1 = 109/3.

Convert 52 1/4 to an improper fraction: (52 × 4) + 1 = 208 + 1 = 209/4.

Find a common denominator to subtract the fractions. The common denominator for 3 and 4 is 12. Thus, convert both fractions to twelfths: 109/3 becomes 436/12, and 209/4 becomes 627/12.

Subtract the distance to Old Towne from the distance to Bridgeway: 627/12 - 436/12 = 191/12.

Convert 191/12 back to a mixed number to find the distance: 191 ÷ 12 = 15 with a remainder of 11, so the distance is 15 11/12 miles.

Therefore, the distance from Old Towne to Bridgeway is 15 11/12 miles.

Answer:

When you say b 5, do you mean b+5?

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

We can use proportions to solve this problem

5                15

------ =  -------------

8              x

Using cross products

5 * x = 8 *15

Divide by 5

5x/5 = 8*15/5

x = 8*3

x =24

Answer:

The answer is 24in.

Step-by-step explanation:

My explanation isn't very useful, I just looked at the image and say that 5in was 1/3 of 15in. therefore I multiplied 8in by 3 and got 24in.

I hope this helps!

Cheers, July!

Answer:

C. Addition Property of Equality

Step-by-step explanation:

Addition Property of Equality allows one to add the same quantity to both sides of an equation.

Answer:

Addition Property of Equality

Step-by-step explanation:

15-10x = 6x

We are adding 10x to each side, which we can do by the addition property of equality.

Addition Property of Equality

If a=b

then  a+c = b+c

Answer:

A

Step-by-step explanation:

the standard form of a quadratic equation is

ax² + bx + c = 0 : a ≠ 0

obtain (5 + x)(5 - x) = 7 in this form by expanding the factors

25 - x ² = 7 ( subtract 7 from both sides )

18 - x² = 0 ( multiply through by - 1 )

x² - 18 = 0 ← in standard form

with a = 1, b= 0 and c = - 18 → A

Answer:

-5120

Step-by-step explanation:

Replace the n in the formula by 6.

a6 = -5(4)^(6-1)

= -5 * 4^5

= -5120

Answer:

[tex]a_{6}[/tex] = - 5120

Step-by-step explanation:

To obtain the sixth term substitute n = 6 into the formula

[tex]a_{6}[/tex] = - 5 × [tex]4^{5}[/tex] = - 5 × 1024 = - 5120

Question

Which two numbers does the √12 fall between? √4 √9 √16 √25

Answer:

√9 √16

Step-by-step explanation:

√4 = 2

√9 = 3

√12 = 3.5

√16 = 4

√25 = 5

Answer:

8 piles for basketball

4 piles for football

3 piles for baseball

Step-by-step explanation:

1. Find the GCF of all three #s

2. 8 is the GCF, so divide each # by 8

3. You get the # of piles for each type of card

Answer:

MaybeIf you do 12,000 times 5.5 and didved by 100?

Step-by-step explanation:

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&12000\\ P=\textit{original amount deposited}\dotfill\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &3 \end{cases}[/tex]

[tex]\bf 12000=P\left(1+\frac{0.055}{12}\right)^{12\cdot 3}\implies 12000=P(1.00458\overline{3})^{36} \\\\\\ \cfrac{12000}{(1.00458\overline{3})^{36}}=P\implies 10178.56\approx P[/tex]

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

For this case we must find the following product:

[tex]\frac {a-3} {15a} * \frac {5} {a-3} = \frac {5 (a-3)} {15a (a-3)}[/tex]

We know that [tex]\frac {(a-3)} {(a-3)} = 1[/tex]

So:

[tex]\frac {5 (a-3)} {15a (a-3)} = \frac {5} {15a}[/tex]

Dividing the numerator and denominator by "5":

[tex]\frac {5} {15a} = \frac {1} {3a}[/tex]

Thus, the product is[tex]\frac {1} {3a}[/tex]

Answer:

[tex]\frac {1} {3a}[/tex]

Answer:(-2,8) (-1,5) (0,2) (1,-1) (2,-4)

Step-by-step explanation:

This question can be solved by using simple algebra to set up equations based on the given conditions. We found that the two numbers are 38 and 26.

To discover the two numbers, we will use a mathematical approach based on the problem. If we denote the larger number as 'x' and the smaller number as 'y', we have two equations based on the statement: 'x + y = 64' and 'x - y = 12'. You can solve this system of equations by adding these two equations together to eliminate 'y'. This operation will give you the result '2x = 76'. Upon dividing both sides of the equation by 2 you find that 'x = 38'. To find 'y', you subtract 38 from 64 based on the summation equation, yielding the result 'y = 26'. So, the two numbers are 38 and 26.

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The sum of the two numbers is 64, and the difference is 12. By setting up and solving a system of equations, we find that the two numbers are 38 and 26.

To find the two numbers, let's set up a system of equations:

Let x be one of the numbers, and y be the other number.

We can write two equations based on the given information:

x + y = 64 (sum of two numbers is 64)

x - y = 12 (difference of two numbers is 12)

To solve this system of equations, we can use the method of substitution or elimination.

Using the method of elimination, we can add the two equations:

(x + y) + (x - y) = 64 + 12

2x = 76

x = 38

Substituting the value of x into one of the equations:

38 + y = 64

y = 26

Therefore, the two numbers are 38 and 26.

Answer:

100%

Step-by-step explanation:

Use this equation:

Answer:

CANT DO IT

Step-by-step explanation:

IM TOO LAZYER