When making pasta dishes, 10 pounds of pasta makes 60 meals. How many pounds of pasta are needed to make 750 meals?

Answer:

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Step-by-step explanation:

The standard form of trinomial is given as:

[tex]ax^2+bx+c[/tex]

And the factored form is:

[tex](px+r)(qx+s)[/tex]

In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.

So,

[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]

Now comparing it with the standard form of trinomial

We will compare the co-efficients of x^2, x and the constant

By comparing, we get

[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]

Hence,

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Answer: c) perpendicular

Perpendicular slopes always multiply to -1. This is assuming neither line is vertical.

Answer:

FRACTION         DECIMAL                   PERCENT

3/100                   0.03                              3%

3/2                         1.5                                150%

13/20                    0.65                             65%

2/3                       0.6667                          66.67%

Answer:

4/7 is already in lowest terms

Answer:

I agree with both of them because they are both correct

Step-by-step explanation:

See attachment for complete question;

Slope (m) is calculated using the following formula:

[tex]m = \frac{Rise}{Run}[/tex]

Where

[tex]Rise = Vertical\ Distance[/tex]

[tex]Run = Horizontal\ Distance[/tex]

From the attachment, we have the following:

Triangle A

[tex]Rise = 6\ units[/tex]

[tex]Run = 4\ units[/tex]

So:

[tex]m = \frac{Rise}{Run}[/tex]

[tex]m = \frac{6}{4}[/tex]

In this case, Mai is correct:

Triangle B

[tex]Rise = 1.5\ units[/tex]

[tex]Run = 1\ units[/tex]

So:

[tex]m = \frac{Rise}{Run}[/tex]

[tex]m = \frac{1.5}{1}[/tex]

[tex]m = 1.5[/tex]

In this case, Elena is also correct:

Answer: 3ft squared

Step-by-step explanation: to find the area you have to multiply the height by the width. So 2 times 1.5 is equal to 3.

Answer:

Linear.

Step-by-step explanation:

A easy way to remember is Linear has the word line in it and Non-linear has the words no line in it. To solve the table, you can graph the points, and if you get a straight line it's linear. If you don't want to graph the points, then you need to make sure there is a pattern. The x's go up by 3 every-time and the y's go up by 5 every time. This table is linear. Hope this helps!

Answer:

8:4

Step-by-step explanation:

Given that,

The ratio of the areas of similar polygons is 64: 16, A₁:A₂=64: 16

We need to find the ratio of their sides. For similar polygons, the ratio of  the area is proportional to the square of the ratio of their corresponding sides.

Let sides are x₁ and x₂. So,

[tex]\dfrac{A_1}{A_2}=(\dfrac{x_1}{x_2})^2\\\\\dfrac{x_1}{x_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{64}{16}}\\\\=\dfrac{8}{4}[/tex]

So, the required ratio is 8:4.

Answer:

2(2a-7b) = 4a-14b

Step-by-step explanation:

You have to multiply both the numbers inside brackets (2a,7b) with 2 .....

Answer:

Let the number of popcorn be x and the number of drinks be y, then according to the question we have the following equation

.................> linear equation

To sketch the graph first we need to find two points on it.

EXAMPLE

put x=0, we get y=10

put y=0, we get x=6

Thus, we have points (0,10) and (6,0), now sketch a line through it .

Thus in the graph x - axis represents the number of popcorn and y axis represents the number of drinks.

The slope of the graph is

Step-by-step explanation:

Answer:

x= 3/2   and  4

Step-by-step explanation:

Use this method to solve;

First get the multiples of   12:    -1, -12   -2, -6    -3, -4 (we use negatives, because we need a positive 12, and a negative 11).

Next, set it up like this:  (2x - )   (x-  ).

Then plug in (2x-3)  and (x -4), and use rainbow to double check.

Then take 2x-3=0    and   x -4 =0 to get x.

2x-3=0, add 3 to both sides, leaving you with 2x=3, then divide by 2 to get x alone which leaves x= 3/2, could use 1.5 or 1 (1/2) too.

Then do the same with x-4=0, add 4 to both sides leaving x= 4.

Answers are x= 3/2   and 4.

Answer:

D

Step-by-step explanation:

24        X

----  =   ----          than cross multiply and solve for X

30       100

Answer:

I am not sure I this one but The answer is efither B or D

Try going with the answer D if its not the answer its my fault. I am sorry if You get this wrong.

Answer:

9

Step-by-step explanation:

because thats the answer i just did the quiz

have a good day

The solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9

Given the quadratic equation

(x+2)^2=a

If one of the solution is 1, then x = 1

substitute

(1 + 2)^2 = a

3^2 = a

a = 9

Hence the solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9

Learn more on quadratic equation here:https://brainly.com/question/1214333

Answer:

ummm there's no question dude but it's good to know that because i never knew that

Step-by-step explanation:

...

Answer:

D

Step-by-step explanation:

I hope this help

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

To find D and E use the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then

D = ([tex]\frac{4+2}{2}[/tex], [tex]\frac{6-2}{2}[/tex] ) = (3, 2 ) and

let (x₁, y₁ ) = B(2, - 2[tex]\frac{-4+2}{-2-2}[/tex] ) and (x₂, y₂ ) = C(- 2, - 4 ), then

E = ( [tex]\frac{4-2}{2}[/tex], [tex]\frac{6-4}{2}[/tex] ) = (1, 1 )

Use the slope formula to find slopes of DE and BC

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then

[tex]m_{DE}[/tex] = [tex]\frac{1-2}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then

[tex]m_{BC}[/tex] = [tex]\frac{-4+2}{-2-2}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]

Since the slopes are equal then DE and BC are parallel lines

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76 degrees and 47 degrees?

Answer:

tyuklgfdzrxtiyku,j mncihknbjhtu

Step-by-step explanation:

Answer:

A. 1. mph

C. 3. hpm

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/)038\=8262

Answer:

184in

Step-by-step explanation:

Since the scale for the statue is 3 inches to 100 feet, we can say 3:100 as a ratio.

To find approximately 305 feet you must divide 305 by 100.

100 can go into 300 evenly 3 times. Since the ratio is 3:100 you should multiply how many times the 100ft fit into the 300ft and the 3in (3 x 3) which is about 9in.

One way we can do this is to divide the hight of the Statue by the model height:

305ft 20in = 15.25ft 1in or 184in (12in per foot).

And so for every inch of the model, it represents 15.25 feet.

For 305 it would be

When you use the substitution method you need to plug a value into the corresponding variable of another equation.

In this occasion,"-6y-7" can be plugged into the x of "16x-4y=18" because it represents the x.

16(-6y-7)-4y=18

Distribute 16 into the parentheses

-96y-112-4y=18

Combine like terms

-96y-4y-112+112=18+112

-100y=130

Divide by -100 to get y by itself

y=-1.3 or -13/10

Now plug the y into any equation...I chose "x = -6y - 7​" but it doesn't matter

x= -6(-1.3)-7

x=-14.8 or 4/5

Answer:

Step-by-step explanation:

1. 16x-4y=18

4x-9/2:2x+9/8

4x-9/2:m=4

y=4x-9/2

2. x=-6y-7

1/6x-7/6:-6x-7

Answer:

can u help me with sum I'll help u

Answer:

sorry I don't know 2...

But first I can tell....

Step-by-step explanation:

circumference = 220m

To Find :- It's diameter and it's radius...

Solution:-

circumference of circle = 2*pi*r

pi=22/7

220 = 2*22/7*r

220 = 44r/7

220*7 = 44r

1540 = 44r

r = 1540/44

r = 35m....

d = 35*2

d = 70m...

Hence, Diameter of circular field is 70m and radius is 35m

Answer:

s/(1-r)=R

Step-by-step explanation:

S=R-rR

S=R(1-r)

s/(1-r)=R

9514 1404 393

Answer:

  [tex]y=10.9\sqrt{x-0.5}+23.7[/tex]

Step-by-step explanation:

A graphing calculator or spreadsheet can help you do the square root regression. See the attachment for the result.

  [tex]y=10.9\sqrt{x-0.5}+23.7[/tex]

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

Answer:

the answer in simplest form is 1/2

Step-by-step explanation:

you would do keep flip switch so

2/8 would stay the same but 9/18 would be 18/9 then multiply 2/8 by 18/9 then put in simplest form by dividing

After divide, the value of fraction is 1/2.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Divide 2/8 by 9/18.

Now, We can divide the numbers as;

⇒ Divide 2/8 by 9/18

⇒ 2/8 ÷ 9/18

⇒ 2/8 × 18/9

⇒ 36/72

⇒ 1/2

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Answer:

3 daisies.

Step-by-step explanation:

Given that,

Samantha has 32 roses and 96 daisies.

She wants to make all the arrangements identical and have no flowers left over. We need to find the no of daisies in each flower arrangement.

For this, we need to first find the HCF of 32 and 96.

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

HCF = 32

No of daisies = 96/32 = 3

Hence, there are 3 daisies in each flower arrangement.

Answer:

Length=3x^3+6x^2+10x+10

Step-by-step explanation:

given that the area A of a rectangle is A=L*W, we can find length L=A/W