MATHEMATICS HIGH SCHOOL

Cedric and doug each had an equal amount of money. After cedric spent $35 and doug spent $28, the ratio of cedrics money to dougs money was 2:3. How much money did each boy habe at first?

Answers

Answer 1

Answer:

Answer:

Each of them had $49 at first.

Step-by-step explanation:

Given:

Cedric and Doug each had an equal amount of money.

Let the number of money they had at first be x

Cedric spent = $35

Doug spent = $28

Cedric Money left = $x-35$

Doug Money left = $x-28$

the ratio of Cedric money to Doug money was 2:3

Hence the expression can be made as;

$(x-35)/(x-28)=(2)/(3)$

Now by cross multiplication method we get;

$3(x-35)=2(x-28)$

Now we will use distributive property to elaborate the same;

$3x-105=2x-56$

Combining common terms we get;

$3x-2x=105-56$

Using Subtraction property we get;

$x= 49$

Hence $49 they each had at first.

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Use division to find all the whole number ratios equivalent to 168 : 56

Answers

$168|2\n.\ 84|2\n.\ 42|2\n.\ 21|3\n.\ \ 7|7\n.\ \ 1|\n\n56|2\n28|2\n14|2\n.\ 7|7\n.\ 1|$

$168:56=(2\cdot2\cdot2\cdot3\cdot7)/(2\cdot2\cdot2\cdot7)\n\n=(2\cdot2\cdot3\cdot7)/(2\cdot2\cdot7)=\boxed{(84)/(28)}\n\n=(2\cdot2\cdot2\cdot3)/(2\cdot2\cdot2)=\boxed{(24)/(8)}\n\n=(2\cdot3\cdot7)/(2\cdot7)=\boxed{(42)/(14)}\n\n=(2\cdot3)/(2)=\boxed{(6)/(2)}\n\n=\boxed{(3)/(1)}\n\n=(2\cdot2\cdot3)/(2\cdot2)=\boxed{(12)/(4)}\n\n=(3\cdot7)/(7)=\boxed{(21)/(7)}$

In PQR, the measure of

Answers

Answer:

17.9 degrees

Step-by-step explanation:

tangent x= 3.2/9.9

tangent x= 0.323

x=tan^-1(0.323)

x=17.9 degrees

during unusual cold weather the temperature in Miami Beach was 10 this was 12 degrees more than in tallahassee what is the temperature in tallahassee

Answers

Miami Beach = 10°

This was 12° more than in Tallahassee.

Miami, 10° = 12° + Tallahassee

10° = 12° + T

10° - 12° = T

-2° = T

Temperature in Tallahassee is -2°

-2 degrees in Tallahassee

10-12=-2

You are reducing a map of 24 in. by 36 in. to fit onto a piece of paper 8 in. by 10 in. What are the dimensions of the largest possible map that can fit on the page?

Answers

The largest possible map that can fit on the page is 8 in. by 12 in.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

We can begin by finding the scale factor by which the map needs to be reduced.

Since the map dimensions are 24 in. by 36 in., and we want to fit it onto a page that is 8 in. by 10 in.

We need to reduce each dimension by the same factor.

Let x be the scale factor:

24/x = 8

36/x = 10

Solving for x, we get:

x = 24/8 = 3

Therefore, we need to reduce the map by a scale factor of 3.

To find the dimensions of the largest possible map that can fit on the page, we divide the original map dimensions by 3:

24/3 = 8

36/3 = 12

Hence, the largest possible map that can fit on the page is 8 in. by 12 in.

To learn more on Ratios click:

brainly.com/question/1504221

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Since 10 in will be the longer side, to find the shorter did
x/10 = 24/36
x/10 = 2/3
x = 10•(2/3)
x = 6 2/3
So the dimensions are
6 2/3 in by 10 in

The difference of two times a number and eighteen is sixteen.

Answers

the answer would be 17

(Will give Brainliest) Please HelppA pizza parlor makes 52 pizza crusts the first week of summer and 180 pizza crusts each subsequent week. A diner makes 26 pizza crusts the first week of summer and 90 pizza crusts each subsequent week. In how many weeks will the total number of pizza crusts made by the pizza parlor be twice the total number of pizza crusts made by the diner?

The total number of pizza crusts made by the pizza parlor will_______