A pair of jeans regularly sells for $24.00. They are on sale for 25% off. What is the sale price of the jeans?

Answers

Answer 1

Answer: 18 dollars. $24.00 * .75 = 18. Or 24 *.25 = 6, 24 - 6 = 18.

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THERE ARE A NUMBER of students SITTING IN Acircle. They ARE EVENly spaced and the 7th
STUDENT IS SEATED directly ACROSS FROM THE
18th student
How many students are there altogether

Answers

Answer:

7x18=x

solve for x , X= 127

answer = there are 127 students all together

hope this helpes

Mariana's swimming pool holds 22,000 gallons of water. If there are approximately 7.5 gallons per cubic foot, what size swimming pool, in terms of cubic feet, does Mariana have? Round your answer to the nearest cubic foot.

Answers

The size of swimming pool, in terms of cubic feet, that Mariana has is 2,933 cubic feet. There are approximately 7.5 gallons per cubic foot and there are 22,000 gallons of water. Make a proportion. 7.5 gallons : 1 cubic foot = 22,000 gallons : x. Cross the products and solve for x. x = 1 cubic foot * 22,000 gallons : 7.5 gallons = 2,933 cubic feet.

Answer:

Size of Mariana's swimming pool would be 2933 cubic feet.

Step-by-step explanation:

Mariana's swimming pool holds water = 22,000 gallons

there are 7.5 gallons water per cubic foot,

Now we have to calculate the size of the swimming pool by unitary method.

∵ 7.5 gallons of water is contained = 1 cubic foot of pool

∴ 1 gallon of water will be contained in = $(1)/(7.5)$ cubic foot

∴ 22,000 gallons of water will be contained in = $(22000)/(7.5)$

= 2933 cubic feet

Size of Mariana's swimming pool would be 2933 cubic feet.

Write the sum using summation notation, assuming the suggested pattern continues. -10 - 2 + 6 + 14 + ... + 110

Answers

This is the sum of the arithmetic sequence:
10 - 2 + 6 + 14 + ... + 110
where: a 1 = - 10, d = 8
a n = 110
a n = a 1 + ( n - 1 ) * d
110 = - 10 + ( n - 1 ) * 8
110 = - 10 + 8 n - 8
110 + 10 + 8 = 8 n
128 = 8 n
n = 128 : 8
n = 16
∑ n = n/2 * ( a 1 + a n )
∑ 16 = 16/2 * ( -10 + 110 ) = 8 * 100 = 800
Answer:
The sum is 800.

The answer is summation of the quantity negative ten plus eight n from n equals zero to fifteen

the ratio of red marbles to blue marbles in a bag is 4:7. There are 16 red marbles.How many blue marbles are there? solve for indicated variable.

Answers

red marbles : blue marbles = 4:7

16 - red marbles
x - blue marbles

$(16)/(x)=(4)/(7) \n 16 * 7 = 4x \n4 * 7 = x \nx=28$

There are 28 blue marbles.

4x - number of red marbles
7x - number of blue marbles

$4x=16\nx=4\n\n7x=7\cdot4=\boxed{28} \leftarrow \hbox{number of blue marbles}$

At a concert 2/5 of the people were men, there were 3 times as many women as children. If there were 45 more men than children, how many people were there at the concert.

Answers

Final answer:

In solving the question, we establish two equations based on the condition provided, including the ratios among men, women, and children. Solving the equation, we find out that there were 270 people at the concert.

Explanation:

This question relates to the mathematical concept of ratio and proportion as well as fraction.

According to the question, 2/5 of the attendees at the concert were men and men outnumbered children by 45. First, let's make the number of children, x. So, the number of men will be x + 45. Because 2/5 of the total attendees were men, set up the equation: 2/5 * Total = x + 45.

There were 3 times as many women as children, thus the number of women will be 3x. So, the total number of people in the concert is the sum of the men, women, and children, which is (x + 45) + 3x + x. Simplifying this, we get 5x + 45 = Total. Therefore, if we substitute (x + 45) for 2/5 of the total in our original equation, we have 2/5 * (5x + 45) = x + 45. Solving this equation, we get x = 45.

So, if we substitute x=45 into our total equation, we get Total = 5(45) + 45 = 270. Therefore, there were 270 people at the concert.

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This involves creating some equations.

First, these are what the letters I used stand for:

c = children

w = women

m = men

x = total population

Then, we must make an equation for each statement.

2/5x = m (2/5 of the people are men)

3c = w (there are 3 times as many women than children)

45+c = m (there are 45 more men than children)

Now, let's start plugging in our numbers:

x = all the men, women, and children

2/5(m+w+c) = m

2/5 (45+c +3c + c) = m [Now simplify]

2/5 (45 + 5x) = m [Now Distribute]

2/5(45) + (2/5)(5x) = m

2c + 18 = m [Above we stated that there were the same amount as men as c +45]

2c + 18 = 45 +c [Now set equal to c]

2c (-c) +18 = 45 +c (-c)

c+18 (-18) = 45 (-18)

c = 27

Now that we know that there was 27 children, we can plug 27 in for c in the other equations.

MEN = 27 + 45

WOMEN = 3(27)

CHILDREN = 27

Now add those three answers to find your total!

Write the missing fraction (numbers) to complete the multiplication fact. __ × 1/4 = 7/8

Answers

Hello!

Answer:

$\Large \boxed{\sf x = (7)/(2) }$

Step-by-step explanation:

Let the unknown be x:

$\sf x * (1)/(4) = (7)/(8)$

Let's solve this equation to find the unknown:

◼ Divide both sides by 1/4:

$\sf x * (1)/(4) / (1)/(4) = (7)/(8) / (1)/(4)$

◼ Simplify both sides:

$\sf x = (7)/(8) / (1)/(4)$

◼ Simplify the right side:

$\sf x = (7)/(8) * (4)/(1)$

$\sf x = (7)/(8) *4$

$\sf x = (7 *4)/(8)$

$\sf x = (28)/(8)$

$\boxed{\sf x = (7)/(2) }$

Final answer:

The missing fraction to complete the multiplication fact is **2/3**.

Explanation:

To find the missing fraction, we can set up the equation as follows: $**x × 1/4 = 7/8**$ , where **x** represents the missing fraction. To solve for $**x**,$ we'll isolate it on one side of the equation.

First, we'll multiply both sides of the equation by the reciprocal of 1/4, which is 4/1 (or simply 4):

$**x × 1/4 × 4 = 7/8 × 4**$

This simplifies to:

$**x = 7/2**$

Now, we need to express 7/2 as a fraction with a denominator of 8. To do this, we'll multiply both the numerator and the denominator by 4:

$**x = (7 × 4) / (2 × 4) = 28/8**$

Now, the fraction 28/8 is equivalent to 7/2, and it completes the multiplication fact. However, we can simplify 28/8 further by dividing both the numerator and denominator by their greatest common divisor, which is 4:

$**x = 28/8 ÷ 4/4 = 7/2 ÷ 4/4 = 7/8**$

So, the missing fraction is indeed **7/8**, which completes the multiplication fact $**x × 1/4 = 7/8**.$

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