At a homecoming game, there are 630 students and 1080 alumni in attendance. Express the
ratio of students to alumni as a fraction in simplest form. Explain its meaning,

Answer:

We find the fraction of a number by doing two steps: first, multiply the whole number by the numerator, and then divide the product we get by the denominator.

multiplying fraction by a number

Let's solve real-world problems about fractions of a number.

Word Problem Examples

cookies

Jane baked 24 chocolate chip cookies. She gave 1/3 of the cookies to her neighbor. How many cookies did she give to her neighbor?

What is the problem asking us to do?

That's right!

We need to figure out what 1/3 of 24 is.

1/3 of 24 is the same as this:

24 × 1/3 = ?

First, multiply 24 by the numerator:

24 × 1 = 24

Then, divide the product we got by the denominator:

24 ÷ 3 = 8

✅ Now we know that she gave 8 cookies to her neighbor.

Here are more questions about this problem:

Of the cookies that were left, Jane gave 3/4 to her parents, and she ate the rest. How many cookies did she give to her parents? How many cookies did she eat?

The problem tells us to figure out two things:

- the number of cookies that Jane gave to her parents,

- the number of cookies that Jane ate.

But first, we have to find out how many cookies were left, after Jane gave some away to her neighbor.

She started with 24 cookies and gave 8 cookies away.

Let's subtract:

24 - 8 = 16 cookies

So, Jane had 16 cookies left.

How many cookies did Jane's parents get if she gave them 3/4 of 16?

3/4 of 16 is the same as this:

16 × 3/4 = ?

First, multiply 16 by the numerator:

16 × 3 = 48

Then, divide the product we got by the denominator:

48 ÷ 4 = 12

✅ Jane gave 12 cookies to her parents.

Now, let's find out how many cookies Jane ate.

We know that Jane ate all the cookies that were left.

She had 16 cookies. Then, she gave 12 to her parents.

How many are left?

We need to subtract to figure this out:

16 - 12 = 4

✅ Jane ate 4 cookie

She baked 48 cookies in total as obtained by forming a numerical expression of the statement.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given that, Angela baked x cookies.

She gave 1/3 of them to her sister, and she put 5/8 of 5/8th of the remaining cookies in the freezer.

∴ x - (1/3)x - (2/3)×(5/8)x = 12.

x - (1/3)x - (5/12)x = 12.

(2/3)x - (5/12)x = 12.

(8x - 5x)/12 = 12.

3x = 144.

x = 48

learn more about numerical expressions here :

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Answer:

$1.25

Step-by-step explanation:

cuz 5 divided by 4 is 1.25

douple check - 1.25 times4 is 5!

Answer:

1.25

Step-by-step explanation:

If we divide the amount it costs for 4 rolls (5), by the amount of rolls bought (4), we get 1.25, which is the correct!

Don't do 4 divided by 5, or you would be saying 5 rolls bought for 4 bucks!

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Volume of a rectangular prism is expressed as;

V = Base area * height of prism

Given

Volume of prism V = 7,280 cubic inches.

height of prism = 26in

Required

Base Area

Substitute the given parameter into the formula;

7280 = 26B

B = 7280/26

B = 280in²

Hence the area of the newspaper on the bottom of the cage is 280in²

Answer:

2^1 + 3^1, 2^3 - 2^1 and 3^2.

Step-by-step explanation:

3^2 = 9.

2^3 - 2^1 = 8 - 2 = 6.

2^1 + 3^1 = 4.

Answer:

[tex] \huge{ \boxed{ \bold{ \tt( \: 0 \: ,5 \: )}}}[/tex]

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☞ First, Let's explore about Midpoint :

Midpoint of the segment simply means middle point of a line segment. Formula of Midpoint :

[tex] \boxed{ \sf{(x _{ \: m \: } ,\: y_{m}) = ( \frac{x_{1} + x_{2}}{2} ,\: \frac{y_{1} + y_{2}}{2} )}}[/tex]

where ,

The Midpoint Formula is used to find the exact center point between two defined points in a line segment.  The Midpoint formula is quite simple , so you should easily be able to remember it. It won't matter which point you pick to be the 'first" point you plug in. Just make sure that you're adding both an x to an x and a y to a y. Hence, keep in mind , in order to find the midpoint of a line segment, the first step is to add both ' x - co-ordinates' and divide it by 2 and then the second step is to add both ' y - co-ordinates ' and divide it by 2.

Now, Let's solve it!

☯ Question :

☯ Step - by - step explanation :

Let P ( x , y ) divide the line joining the points A ( - 2 , 7 ) and B ( 2 , 3 ). Now, let :

Apply midpoint formula , then plug the values and lastly simplify it :

[tex] \sf{ midpoint \: = \: ( \frac{x _{ \: 1 \: } + x _{ \: 2 \: }}{2} ,  \: \frac{y_{ \: 1 \: } + y _{ \: 2\: }}{2} })[/tex]

➺ [tex] \sf{midpoint = ( \frac{ - 2 + 2}{2},  \: \frac{7 + 3}{2} )}[/tex]

➺ [tex] \sf{midpoint = ( \frac{0}{2} ,  \: \frac{10}{2} )}[/tex]

➺ [tex] \boxed{ \sf{ midpoint = ( \: 0 \: , 5})}[/tex]

Hence , The midpoint of the segment with the end points A ( - 2 , 7 ) and B ( 2 , 3 ) is ( 0 , 5 ) .

Hope I helped!

Have a wonderful time ッ

~TheAnimeGirl ♡

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Answer:

120

Step-by-step explanation:

it would be 3880

Step-by-step explanation:

Answer:

a. 38

b.95

c.57

Step-by-step explanation:

Answer:

y  =   [tex]-\frac{2}{3}[/tex] x -  [tex]-\frac{13}{3}[/tex]

Step-by-step explanation:

Given dimensions:

   Slope  = [tex]-\frac{2}{3}[/tex]  

  Coordinates  = (1, -5)

Now;

 Equation of the line through the given points;

Solution:

 The equation of a line is given as;

          y  = mx + c

x and y are the coordinates

m is the slope

c is the intercept

 So;

  let us find the y-intercept;

           -5  =  [tex]-\frac{2}{3}[/tex]   x 1 + C

             c  = -5 + [tex]\frac{2}{3}[/tex]  = [tex]-\frac{13}{3}[/tex]

The equation of the line is ;

  y  =   [tex]-\frac{2}{3}[/tex] x -  [tex]-\frac{13}{3}[/tex]

Answer:

Step-by-step explanation:

700% of 5 = 35

35 is greater than 10

but less than 100

Hope this helps! <3

Answer:

I think it's 11/6 I think so

Answer:

The actual height is 720 feet.

Step-by-step explanation:

36 × 12 = 432

432 ÷ 3 = 144

144 × 5 = 720

Answer:

2p − 1

Step-by-step explanation:

I think, sry is its wrong. Do you have possible answrs?

-4p - (1 - 6p) = -4p - 1 + 6p = -4p + 6p - 1 = 2p - 1

Answer:

18

Step-by-step explanation:

£1500x6×0.2%=18

you multiple the amount and the year first and multiple the percentage and the answer will be 18

Answer:

I think the second one I may be wrong tho

Answer:

-120 loves of bread were sold in 4 hours.

-40 loves of bread wereleft to sale.

Step-by-step explanation:

To determine the amount of loves of bead that were sold in 4 hours, you have to mutiply the amount of loves sold each hour for 4:

30*4=120

This means that 120 loves of bread were sold in 4 hours.

Now, to determine the amount of loves of bread left to sale, you have to find the amount of loves produced on the two batches of bread by multiplying the amount produce in each batch for 2:

80*2=160

Finally, you have to subtract the amount of loves sold in 4 hours from the amount produced in two batches:

160-120=40

According to this, 40 loves of bread were left to sale.

Answer:

6tg67g76g76g76

Step-by-step explanation:

Answer:

There are 2 steps:

1. 90° counterclockwise rotation about the origin

2. Translation downward 2 units

Step-by-step explanation:

1. 90° counterclockwise rotation about the origin = (x, y) to (-y, x),

D moves from (-2, 4) to (-4, -2)

W moves from (-1, 2) to (-2, -1)

P moves from (3, 3) to (-3, 3)

2. Translation downward 2 units = (x, y) to (x, y-2),

D moves from (-4, -2) to (-4, -4) = M

W moves from (-2, -1) to (-2, -3) = J

P moves from (-3, 3) to (-3, 1) = S

Answer:

7.96

Step-by-step explanation:

Answer:

I want to get point

Step-by-step explanation:

can you help

[tex]\huge\underline\mathfrak\blue{Answer:-}[/tex]

The demoin is all real numbers greater than 6

The domain of the function is "All real numbers greater than 6".

Any exponential function may be represented in logarithmic form because logarithmic functions are the inverses of exponential functions.

The given equation is h(x) = 4log2(x-6) + 1.

The domain is the set of values that can be inserted into a function.

Note that the logarithmic of a negative number is not defined, therefore, the expression inside the log, x-6, must be greater than 0.

x - 6 > 0

x > 6

Hence, the domain of the function is "All real numbers greater than 6".

Learn more about the logarithmic functions:

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The complete question is:

What is the domain of the function h(x)=4log_5(x−6)+1 ? Enter your answer in the box.

All real numbers greater than______

Answer:

8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (7, 8) into the partial equation

8 = - 21 + c ⇒ c = 8 + 21 = 29

y = - 3x + 29 → A

Answer:

A. has no solution

Step-by-step explanation:

Answer:

1).6cm squared

2). 36 cm squared

3).787.5

(im not sure 3 is correct)

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

2d + 3      d = 8

2(8) + 3

16 + 3

19

Answer:

multiple choice?

Step-by-step explanation:

Answer:

Cheesburger costs $3. Shake costs $4.

Step-by-step explanation:

c is cheesburger and s is large shake.

5c+2s=23

3c+3s=21

15c+6s=69

-6c-6s=-42

9c=27

c=3