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3 years ago

Can you please help with this

Mathematics

1 answer:

Ksivusya [100]3 years ago

4 0

First you want to turn both fractions into improper fractions. So 1 4/7 would now be 11/7 because 1 x 7 + 4 is 11. And -1 4/8 will now be -12/8 because 1 x 8 + 4 is 12. Now you must find the common denominator. 8 x 7 is equal to 56 so the common denominator is 56. So now we are adding 11/56 + (-12/56). 11 plus 12 is 23. So we have 23/56. 23 can go into 56 two times because 23 x 2 = 46. There is 10 left over so our final answer is -2 10/56. In simplest form our answer would be -2 5/28

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The Pretty Pizza Company wants to open a new pizza place on either the north side of town or the south side of town. They want t

Sidana [21]

Using proportions, it is found that the Pretty Pizza Company should open a new pizza place at any of the North or the South blocks.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The proportion of <u>pizza places per person</u> in each block of the town is given as follows:

North: 32/(221 x 15) = 0.0096 < 1.

South: 28/(22 x 150) = 0.0084 < 1.

Both proportions are less than 0.01, hence the Pretty Pizza Company should open a new pizza place at any of the North or the South blocks.

More can be learned about proportions at brainly.com/question/24372153

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5 0

2 years ago

Solve for x in the equation 6(–5)=54 6 ( x – 5 ) = 54 .

Ad libitum [116K]

Answer:

x = 14

Step-by-step explanation:

Let's solve your equation step-by-step.

6(x − 5) = 54

Step 1: Simplify both sides of the equation.

6(x − 5) = 54

(6)(x) + (6)(−5) = 54(Distribute)

6x + − 30 = 54

6x − 30 = 54

Step 2: Add 30 to both sides.

6x − 30 + 30 = 54 + 30

6x = 84

Step 3: Divide both sides by 6.

6x/6 = 84/6

x = 14

8 0

3 years ago

Tina must select and answer in any order seven of ten essay questions on a test. In how many ways can she do so?

gladu [14]

Answer:

There are 127 Possible ways/combinations for this

Step-by-step explanation:

6 0

3 years ago

A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial off

Yakvenalex [24]

Answer:

a) The officers can be appointed in 24024 different ways.

b) The committee can be appointed in 1001 different ways.

c) 1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified candidates

Step-by-step explanation:

The order in which the officers are appointed is important(the first is the president, second the CEO and so on...). So the permutations formula will be used.

Otherwise, in the committee there are no roles, so the order is not important. So the combinations formula will be used.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

A. How many different ways can the officers be appointed?

4 from a set of 14, with roles. So a permutation.

$P_{(14,4)} = \frac{14!}{(14-4)!} = 24024$

The officers can be appointed in 24024 different ways.

B. How many different ways can the committee be appointed?

4 from a set of 14, without roles. So combination

$C_{14,4} = \frac{14!}{4!(14-4)!} = 1001$

The committee can be appointed in 1001 different ways.

C. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates?

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes.

The three youngest(1 combination), and one of the other 14-3 = 11. So $D = 1*11 = 11$

Total outcomes:

From B., 1001, so $T = 1001$

Probability:

$p = \frac{D}{T} = \frac{11}{1001} = 0.011$

1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified candidates

8 0

4 years ago

How do you estimate 32.17 ÷7

Zina [86]

So this is the answer 4.595714285714286 and you want you round it up to 1 d.p which is 4.6

5 0

3 years ago