Please show work!!!!!!!
Ilya and Dan shared 360 hats in the ratio 7:5. How many more hats did Ilya have than Dan?

Answers

Answer 1
ilya ratio = 7
Dan's ratio= 5
total ratio = 7+5=12
ilya share of hats =
[tex] \frac{7}{12} \times 360 = 210[/tex]
dans share of hats =
[tex] \frac{5}{12} \times 360 = 150[/tex]
so ilya has 60 more hats than Dan
[tex]210 - 150 = 60[/tex]
Answer 2
The simplified ratio is Ilya:Dan:Total = 7:5:12
The non-simplified total is 360, so the ratio would be x:y:360
12•30=360, so you must multiply the other parts of the ratio by 30 in order to find out x and y
7•30=210
5•30=150
So, the ratio is 210:150:360
Ilya had 210 hats, Dan had 150, for a total of 360.
210-150=60
Ilya had 60 more hats than Dan

Related Questions

 I NEED HELP ASAPLouise bought 1 1/4 pounds of roast beef at $2.00 per pound and ​ 2 1/2 ​pounds of turkey at $1.50 per pound. What was her total cost? Enter your answer in the box. $

Answers

Louise bought 1 1/4 pounds of roast beef at $2.00 per pound and ​ 2 1/2 ​pounds of turkey at $1.50 per pound. What was her total cost? Enter your answer in the box. $ 2.50 + 3.75 = 6.25 

multiply price by amount bought for each then add them

roast beef: 2.00 * 1.25 = $2.50

turkey: 1.50 * 2.5 = $3.75


3.75 + 2.50 = $6.25 total cost

simplify and show work please and thank you

4a-13=19

Answers

Add 13 to both sides:

4a=32

Then divide both sides by 4:

a=8
4a-13=19
13+4a-13=19+13
4÷{4a=32}
a=8

a wise man once said 300 reduced by 3 times my age is 114

Answers

Final answer:

To solve the equation, assume the person's age is 'x', then translate the sentence into an equation: 300 - 3x = 114. Isolate the variable by subtracting 300 from both sides, then divide both sides by -3 to find 'x'. The person's age is 62.

Explanation:

The subject of this question is Mathematics. Specifically, it involves solving an equation to determine the age of the person mentioned in the quote.

To solve the equation, let's assume the person's age is 'x'. Then, we can translate the sentence '300 reduced by 3 times my age is 114' into the equation: 300 - 3x = 114.

To solve for 'x', we can isolate the variable by subtracting 300 from both sides of the equation, giving us -3x = -186. Finally, dividing both sides by -3, we find that x = 62. Therefore, the person's age is 62.

Jacob tapes down a piece of red tape on a basketball court. The piece of tape is 3/5 yard long. He wants to divide it into sections that are each 1 1/0 yard long.

Answers

3/5 = 6/10 (multiply 2 to top and bottom to get 6/10)

There are 6 1/10ths, so the answer is 6 sections

hope this helps :D

Select Equal or Not Equal to correctly classify each statement.

Statement:
1. 14⋅34=?34⋅14 Equal or not equal
2. 34÷25=?25÷34 Equal or not equal


WILL MARK BRAINLIEST

Answers

1. Equal
2. Not Equal
1. 14 • 34 = 476. 34 • 14 = 476 14•34=34•14
2. 34 / 25 = 1.36. 25 / 34 = 0.73 | 34 / 24 doesn't equal 25 / 34

Hope this helped! ☺♥

How many times does 7 go into 5? The remainder is 5.

Answers

5:7 = 0.71428571428 I used calculator
.7412 I think I used a coculator

Every 2/3 hour, Harris can sew 1/6 pair of jeans. What is Harris's rate in pairs of jeans per hour? Drag and drop the correct value into the box.

Answers

Divide the number of pairs of jeans by the time.

(1/6)/(2/3) = 1/6 * 3/2 = 3/12 = 1/4

He can sew 1/4 pair of jeans per hour.

The rate in pairs of jeans per hour is 1/4

For every 2/3 hour Harris can sow 1/6 pair of jeans

Therefore the rate of Harris's jeans in pairs can be calculated as follows

= 1/6 ÷ 2/3

= 1/6 × 3/2

= 3/12

= 1/4

Hence the rate in pairs of jeans per hour is 1/4

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Sharon is 54 inches tall. A tree in her backyard is 5 times as tall as she is. The floor of her treehouse is at a height that is twice as tall as she is. What is the difference, in inches between the top of the tree and the floor of the treehouse

Answers

(54 • 5) - (52 • 2)=

a box of cereal states that there are 96 calories in a 3/4-cup serving. what is the unit rate of calories per cup? how many calories are there in 3 cups of ceral

Answers

Going the basic algebra route:

Let x = unit rate for calories per cup,

Then (3/4)*x = 84

and x = 84*(4/3) = 112 calories per cup

The number of calories is there in 3 cups of cereal will be equal to 384.

What are arithmetic operations?

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total calories in 3/4 cup = 96

Let's assume that the number of calories per cup is x.

Then,

3/4 cup = 96

1 cup = x

Use cross-multiplication,

0.75x = 96

x = 96/0.75

x = 128 calories

Then, the calories in 3 cups will be,

= 128 × 3

= 384

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160% of 35 show work.

Answers

35 : 100 * 160 = 56
             or
35 * 1.60 = 56

Hello There!

You can use percentage multipliers.
100% is 35.
You need to add 60% on
The multiplier for 60% increase is 1.6
35 x 1.6 = 56.
The answer is 56.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

Broccoli cost $1.50 per pound at a store. How much money does 32 ounces of broccoli cost?

Answers

Answer:

32 ounces costs 3 dollars.

Step-by-step explanation:

There are 16 ounces in 1 pound. So 32 ounces is 2 pounds. 1.5*2=3. 32 ounces costs 3 dollars.

F=9/5C+32. Solve for C.

Answers

The answer is F= 68 C=20

The expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.

What is a linear expression?

The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.

If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.

It is given that:

The relationship between F and C is:

F = (9/5)C + 32

To convert temperature from degrees Celsius to degrees Fahrenheit for c:

Make the subject as C:

(9/5)C = F - 32

As we know,

The expression can be defined as the combination of constants and variables with mathematical operators.

9C = 5(F - 32)

C = 5(F - 32)/9

Thus, the expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.

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Graph ​ y=47x−2 ​.

Use the line tool and select two points on the line.

Answers

Given y = 47x - 2

when x = 0, y = -2

when y = 0, x = 2 / 47

To draw the graph of y = 47x - 2, mark the points (0, -2) and (2/47, 0) and join the points.

The graph is attached.

What is 4973 divided by 7

Answers

The answer is 710.42
4,973 ÷ 7 = 710.42
Hope this helps!

Which number is the largest? 7.2 ⋅ 10−6, 3.09 ⋅ 103, 2.04 ⋅ 104, 5 ⋅ 103

Answers

5 times 103 would be the largest
5 * 103 = 515 
3.09* 103 = 318.27 
2.04 * 104 = 212.16 
7.2 * 10 - 6 = 66
  :)
   i hoped this helped :)

Answer:

2.04 × 10^4

Step-by-step explanation:

7.2 × 10^-6 = 0.0000072

3.09 × 10^3 = 3090

2.04 × 10^4 = 20400

5 × 10^3 = 5000

What is the product?
Enter your answer as a fraction, in simplified form, in the box.
38⋅(−36)
Thank you have a Nice day

Answers

Hey there!

The answer is -1368/10000= -171/1250

Answer:

the product of 38 and (-36) is  -1368

Step-by-step explanation:

To find out the product of two numbers, we need to multiply the numbers

positive times negative is negative

38⋅(−36)

                38

                36

         -------------------

               228

              114

          -----------------

              1368

the product of 38 and (-36) is  -1368

Sara pays $11 for 2.75 pounds of cheese.what is the cost per pound

Answers

you just need to divide 11 by 2.75 which would be $4


The answer is $4 a pound.

how to put 9.125 E10. in standard form

Answers

Move the decimal places 10 times to the right because the exponent is positive

Can I get some help with 1) plz

Answers

Your answer is 12 because 8*4=24 and 3*4=12                                                                                                                                                                                                                 Your answer is 12
there are 12 boys since there are 24 girls and there are 3 boys for every 6 girls, so 6+6+6+6 = 24, that means you then multiply 4 (since there are four 6’s) by 3 (since that’s how many boys are in 6 girls) 4x3 = 12

(03.03 MC) Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below. (5 points)

The x-intercept is (0, 6); the y-intercept is (−9, 0).

The x-intercept is (6, 0); the y-intercept is (0, −9).

The x-intercept is (3, 0); the y-intercept is (0, −2).

The x-intercept is (0, 3); the y-intercept is (−2, 0).

Answers

B. The x-intercept is (6, 0); the y-intercept is (0, −9).



Find the equation of a line parallel to y=-3 passing through the coordinate (2,6)

Answers

answer: y=6
 
y=6 would wind up making a straight line going horizontal through the y axis through the point (2,6) and would also be parallel to the line y=-3

Which story represents the graph below?


A person starts climbing a mountain, and then walks across a plateau, before finishing her climb to the top.
An airplane reaches its cruising altitude.
both of the above
neither of the above

Answers

Airplanes increase their altitude slowly, they don't just shoot up. 
Mountains do have plateaus where it goes flat. 

A person starts climbing a mountain, and then walks across a plateau, before finishing her climb to the top.

I hope this helps!

Both given stories represents the given graph.

Given that, a person starts climbing a mountain, and then walks across a plateau, before finishing her climb to the top.

An airplane reaches its cruising altitude.

What is cruising altitude?

The height in the sky at which an airplane stays for most of a flight.

Cruise altitude is usually where the higher ground speed is balanced against the decrease in engine thrust and efficiency at higher altitudes.

In the graph a plateau and cruising altitude of a function is a part of its domain where the function has constant value.

Therefore, both given stories represents the given graph.

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A theater has 990 total seats. There are a total of 22 rows in the theater. If each row has an equal amount of seats, how many seats are there in each row? Find the unknown number in the equation 990 ÷ 22 = s.

Answers

There will be 45 people in each row because you do 990 divided by 22 is 45
990/22= 45

There are 45 seats in each row.

Hope this helps!

Use the distributive property to expand the expression. (2x + 4y) − (2z + 4) A) 2x + 4y + 2z + 4 B) 2x + 4y − 2z + 4 C) 2x + 4y + 2z − 4 D) 2x + 4y − 2z − 4

Answers

D) 2x+4y-2z-4 is the answer

A gallon of gasoline costs $2.96 your car has a 25- gallon gas tank and can travel 28.8 miles one each gallon of gasoline find the cost of filling your gas tank if it’s already 3/8 full

Answers

Final answer:

To find the cost of filling the gas tank, calculate the empty part of the tank, which is 5/8 of 25 gallons. Then multiply that by the cost of a gallon of gasoline, which gives you $46.25.

Explanation:

To solve this problem, we need to calculate how much gasoline is needed to fill up the car's tank considering that it's already 3/8 full and then multiply that by the cost of gasoline per gallon.

Firstly, we need to find out how much of the tank's capacity is empty. The tank has a total capacity of 25 gallons and 3/8 of it is already full. This means 5/8 of the tank is empty. The empty capacity is 5/8 * 25 = 15.625 gallons.

Given that a gallon of gasoline costs $2.96, we need to multiply the cost per gallon by the number of gallons needed. Therefore, the cost to fill the tank equals to 2.96 * 15.625 = $46.25.

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Simplify the expression. 57 – 12 ÷ 4 • 3

Answers

It's hard to say because you did not show any parentheses. That means assumptions must be made about the actual operations. I'm going to assume this (only you know if my assumptions are right) 

57 - (12/4) x 3 which equals 

57 - 3 x 3 which equals 

57 -9 = 48 

Make sense?
You have to use pemdas to figure this equation out. (ask if you dont know) So, you do division first. 12 / 4 = 3. And now we do 3*3, which is 9. and 57 - 9 = 48.

So, 48 is your answer. ☺♥

Brad bought 70.030 m of chain to make necklaces. He used 0.667 m of the chain to make one necklace.

How much chain did he have left?



Enter your answer in the box.


HELP ASAP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Brad bought 70.030m of this chain to make a necklace, then he used 0.667m of it to make one, and how much he had left, the key word ''used'' and have left'' means subtract so all we have to do is subtract 70.030m minus 0.667m and we get the answer.

Answer: 69.363m of his chain is left.

Answer:

the answer to the question is 69.363

Step-by-step explanation:

Can u help me plz plz plz plz

Answers

8/9 x 3/5 = 24/45

24/45 is your answer

hope this helps :D

You are visiting Washington, D.C. From the American History Museum you walk 5 blocks east and 1 block south to the Air and Space Museum. Then you walk 8 blocks west to the Washington Monument. Where is the Washington Monument in relation to the American History Museum?

Answers

One block north and 3 or 2 blocks east

Final answer:

The Washington Monument is 3 blocks west of the American History Museum, after making the described movements starting from the museum.

Explanation:

To determine the relative position of the Washington Monument to the American History Museum, let's track the movements step by step. Starting from the American History Museum, if you walk 5 blocks east and then 1 block south, you arrive at the Air and Space Museum. From there, if you walk 8 blocks west, you will reach the Washington Monument.

Now, since you've walked 5 blocks east initially and then 8 blocks back west from the Air and Space Museum, you've ended up 3 blocks west of your starting position at the American History Museum (because 5 - 8 = -3). The 1 block south movement does not affect the east-west positioning. Therefore, the Washington Monument is 3 blocks west of the American History Museum.

Is 95.045 and 95.545 greater or less then

Answers

95.545 is greater than 95.045
95.545 i greater then ?
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