Marcus is making homemade barbecue sauce. The recipe calls for 3 cups of ketchup for every 1/2 cup of mustard. What is the rate in cups of ketchup per cup of mustard?

Answers

Answer 1

Answer: 6 cups of ketchup per cup of mustard

Step-by-step explanation:

Given : The recipe calls for 3 cups of ketchup for every [tex]\dfrac12[/tex] cup of mustard.

That means , for [tex]\dfrac12[/tex] cup of mustard. we need 3 cups of ketchup.

By using proportions, if we multiply 2 on both sides ,we get

for  [tex]\dfrac12\times 2[/tex] cup of mustard. we need [tex]3\times 2[/tex] cups of ketchup.

⇒ for  [tex]1[/tex] cup of mustard. we need [tex]6[/tex] cups of ketchup.

Hence, the required rate = 6 cups of ketchup per cup of mustard

Answer 2

The  rate in cups of ketchup per cup of mustard is 6.

Given that,

The recipe calls for 3 cups of ketchup for every 1/2 cup of mustard.

Based on the above information, the calculation is as follows:

[tex]= 3 \times 2[/tex]

= 6

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Related Questions

Josiah downloads 44 songs, including 16 songs by his favorite band.
Express as a decimal the number of songs by his favorite band that Josiah downloaded out of the total number of downloads

Answers

Answer:

0.363636

Step-by-step explanation:

44/1=16/x

44x=16

x=0.363636

PLEASE HELPWhich line has an equation of Y-5X+4 in slope-intercept form?
a line passing through the points (1, 9) and (3, 19)
a line passing through the points (2, -14) and (4,-24)
a line passing through the points (1, 1) and (3, 11)
a line passing through the points (2. -6) and (4, -16)​

Answers

Answer:

a line passing through the points (2, -6) and (4, -16)

Step-by-step explanation:

y=-5x+4

you plug in the x value and put the y value on the left side of the equation

for example

-6 = -5(2) + 4

then solve to see if it works

-5(2) = -10 + 4 = -6

(2, -6) works

-16 = -5(4) +4

-5(4) = -20

-20 + 4 = -16

(4, -16) works

Need Helps ASAP!
Complete the statements below with the process used to achieve steps 1-4
Answers for each step:
Multiply, add, subtract, divide.

Answers

Step 1. Multiply

Step 2. Subtract

Step 3. Add

Step 4. Divide

Write equation in slope intercept form (x=mx+b). Find the slope (x) and the y-intercept (b) of the line

Answers

Answer:

slope=.5

intercept= 1

4(2a+3)=-3(a-1)+31-11a

Answers

Answer:

a=1

Step-by-step explanation:

Answer the riddle!
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?

PS: DO NOT LOOK UP!

Answers

I think it’s echo correct me if I’m wrong

You are an echo, I believe. Right?

A parachute is descending at a rate of 28 feet per minute. Find the total change in altitude of the parachute after 4 minutes.

Answers

Answer:

The parachute descended 112 feet

Step-by-step explanation:

Find the sum or difference of the polynomials.

(7x2 + 5x −3) +(5x2 −9x +6)

Answers

Answer:

12x2−4x+3

Step-by-step explanation:

does the equation y = 3x+6 represent a proportional relationship?

Answers

Yes it is ok that’s the answer

A toy box contains eight green balls and four purple balls. Suppose you choose a ball at random and then replace it by putting it back in the toy box. You then choose a second ball. What is the probability that you have selected a green ball and then a purple ball?
Option A: 2/9
Option B: 1/2
Option C: 1/3
Option D: 2/3

Answers

Answer: C.  [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given: Box contains 8 green balls and 4 purple balls.

Total balls = 8+4 = 12

event 1 = first picking green ball

event 2 = second picking purple balls.

As first ball was replaced, that means both events are independent.

Probability that you have selected a green ball and then a purple ball = P(purple ball )

Formula for probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]

Probability of selecting a purple ball (second pick)= [tex]\dfrac{4}{12}[/tex]

[tex]=\dfrac{1}{3}[/tex]

The required probability [tex]=\dfrac{1}{3}[/tex], so C is correct option.

Answer:

2/9

Step-by-step explanation:

PJ= PG * PP = 2/3 * 1/3 = 2/9

Mia is playing sseveral rounds of a word game. In each coordinate pair,x shows the number of the round and y shows mia's score for that round. Round 1: (1,3) round 2: (2,6) and round 3: (3,3). In round 4, Mia scores the same number of points as in round 2 and 3 combined. What is the coordinate pair that represents mia's score for round 4

Answers

Answer:

(4,9)

Step-by-step explanation:

Given

Round 1: (1,3)

Round 2: (2,6)

Round 3: (3,3)

Required

Determine the coordinate of Round 4

Since, Mia score is round 2 and 3 combined;

We have:

Round 4 = 6 + 3

Round 4 = 9

Hence:

The coordinates is (x,y)

Where

x = Round number

y = Score

So, we have: (4,9)

Round 4:

(4, 9)

x = round so 4

y = score of round 2 and 3 combined so 9 (6 + 3)

hi help and you get 100 points

Answers

I know all but 14. and 14. but number 10. is -1.89 11. is 1.86 and 12. is 6.24.

Answer:

Okay so 2+2 = 4

Step-by-step explanation: 349609658959603589657045863408w8024306835+1=349609658959603589657045863408w8024306836

what is 2.25 x 10 to the 4 power in standard form?

Answers

Answer:

Here's how to solve.

Step-by-step explanation:

10 to the 4th power= 10,000

So it would be 2.25*10,000

22,500 would be your answer.

THIS IS MY LAST QUESTION SO CAN SOMEONE HELP
ME OUT

Answers

Answer:

Step-by-step explanation:

Hello, as this is reflected over the  y=o line, it does not change the value for x so this is (3,2)

and the reflection over y=0 line changes the y in -y

thanks

60 percent of what number is 30?

Answers

Answer:

the answer willl be 50%  

The 60 percent of 50 equals 30.

To find what number is 60 percent of 30, you can set up the following equation:

0.60 * x = 30

Here, 'x' represents the unknown number that is 60 percent of 30. To solve for 'x,' divide both sides of the equation by 0.60:

x = 30 / 0.60

Now, perform the division:

x = 50

Therefore, 60 percent of 30 is 50. In other words, 50 is the number you are looking for, which is 60 percent of 30. You can verify this by calculating 60 percent of 50:

0.60 * 50 = 30

As expected, 60 percent of 50 equals 30.

To know more about percent:

https://brainly.com/question/31323953


#SPJ6

Please help me out with these 2 questions! Legit answers only please!

Answers

Answer:

1.) 12 hours   2.) She made a multiplying error in the table.

Step-by-step explanation:

1.)

First, let's find the slope of this equation:

m = 135 - 81 / 5 - 3

m = 54/2

m = 27

Therefore, the equation should be y = 27x.

Now we substitute 324 for y and solve for x:

324 = 27x

12 = x (Divided 27 on both sides.)

Therefore, someone would have to work 12 hours in order to earn $324.

2.)

For this problem, it appears Amanda has found the correct equation for her recipe. When taking a look at the table, however, it seems as though she has made a multiplying error.

Sam's Furniture Store places the following advertisement in the local
newspaper. Write a system of equations for the three combinations of
furniture. What is the price of a love seat?*
Write a system of equations for the word problem and solve it. ONLY input your answer for how
much a love seat cost.
SAM'S
Store
Stand kve seat
$1300
$1400
$1600
Sols and two chairs
Safa, love seat, and one chair
Your answer

Answers

Answer:

1. The system of equations is given as follows;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

Where;

S = The cost of a sofa

L = The cost of a love sea

C = The cost of a single chair

2. The cost of a love sea, L is $500

Step-by-step explanation:

1. The given information are;

The price of sofa and love sea = $1,300

The price of sofa and two chairs = $1,400

The price of sofa, love sea, and one chair = $1,600

Let the cost of a sofa = S

Let the cost of a love sea = L

Let the cost of a chair = C

Therefore, we have;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

2. From equation (1), we have;

L = $1,300 - S

Similarly, from equation (2),we have;

C = ($1,400 - S)/2

Substituting the values of L and C in equation (3), we have;

S + $1,300 - S + ($1,400 - S)/2 = $1,600

Which gives;

($1,400 - S)/2 = $1,600 - $1,300 = $300

$1,400 - S = 2 × $300 = $600

$1,400  = $600 + S

$600 + S = $1,400

S = $1,400 - $600 = $800

S = $800

The cost of a love seat, L, is given from the relation L = $1,300 - S, above, which gives;

L = $1,300 - $800 = $500

The cost of a love sea, L is $500 .

ANSWER I ADDED EXTRA POINTS BUT ANSWER RIGHT AND EXPLAIN YOUR ANSWER!!!! 2 QUESTIONS...


24.) What is the equation in slope-intercept form of the line that passes through the point (2, -2) and is perpendicular to the line represented by y= 2/5x + 2 ?
A) y= 5/2x - 7
B) y= 5/2x + 7
C) y= -5/2x - 3
D) y= -5/2x + 3
25.) Suppose the linear cost function C(x) = 6x gives the cost for buying x items. If the items are sold in packages of 10, and no one can buy more than 5 packages, then the RANGE of the function C is
A) [0, 50]
B) [5, 10]
C) {0, 6, 12, 18, 24, 30}
D) {0, 60, 120, 180, 240, 300}

Answers

Answer:

24) D

25) D

Step-by-step explanation:

24) D

We want to find the equation of a line (in slope-intercept form) that passes through (2, -2) and is perpendicular to [tex]y=\frac{2}{5}x+2[/tex].

First, let's find the slope of our new line.

Remember that perpendicular slopes are negative reciprocals of each other.

Therefore, to find the slope of our new line, we will flip our old slope and add a negative.

Therefore, the slope of our new line is -5/2.

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -5/2 for our slope and (2, -2) for our point (x₁, y₁). This yields:

[tex]y-(-2)=-\frac{5}{2}(x-2)[/tex]

Simplify:

[tex]y+2=-\frac{5}{2}(x-2)[/tex]

Let's convert this to slope-intercept form. Distribute the right:

[tex]y+2=-\frac{5}{2}x+5[/tex]

Subtract 2 from both sides. So, our equation is:

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

Our answer is D.

25)

We know that the cost for buying x items is given by the function:

[tex]C(x)=6x[/tex]

We also know that the items are sold in packages of 10 only. And no one can buy more than 5 packages. In other words, we can buy 0, 1, 2, 3, 4, or 5 packages.

So, let's see how much it will be if we buy 0 packages. This will just be:

[tex]C(0)=6(0)=\$0[/tex]

If we buy 1 package, there will be 10 items in them. So:

[tex]C(10)=6(10)=\$60[/tex]

If we do this for 2 packages (20 items), 3 packages (30 items), and so on, we will get:

[tex]C(20)=6(20)=\$120\\C(30)=6(30)=\$180\\C(40)=6(40)=\$240\\C(50)=6(50)=\$300[/tex]

So, our range is:

[tex]\{0, 60, 120, 180, 240, 300\}[/tex]

The correct answer is D.

And we're done!

The Hoffman family has bought one pizza on Friday night every week for the last 10 years.
How many pizzas have they bought on Friday nights? Helpppp

Answers

Answer:520

Step-by-step explanation:.

What is the greatest common factor of 45, 50, 84?

Answers

Answer:

the greatest common factor is B - 1

Step-by-step explanation:

not 5 because 85 doesn't end with 0 or 5

not 3 because 5+0 doesn't equal a multiple of 3

not 2 because 45 is odd

not 0 because that's never an answer

1. Simplify the problem below -3x^-2​

Answers

Answer: -3/x^2

Step-by-step explanation:

Hope this helps

Answer:

-3/x^2

Step-by-step explanation:

What is m∠TVU?

m∠TVU = __°

Answers

[tex]4x + 3 = 3x + 12[/tex]

Both sides minus 3

[tex]4x = 3x + 12 - 3[/tex]

[tex]4x = 3x + 9[/tex]

Both sides minus 3x

[tex]4x - 3x = 9[/tex]

[tex]x = 9[/tex]

So :

TVU = 3(9)+12 ----¢ TVU = 27 + 12

TVU = 39°

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Rewrite in simplest form 4(-6g-10h)+3h-4(-3h-10g)

Answers

This is the answer -64g-49h

Maureen, Frank, Tashia, Zane, Eric, and Wesley are addressing envelopes for volunteer work at a local charity. They were given ¾ of an entire mailing to address to be evenly divided among six of them. What fraction of the entire mailing does each person address?

Answers

Answer:

The fraction of the entire mail each person address = 1/8

Step-by-step explanation:

Given that:

number of people addressing envelopes = 6

If they gave out 3/4 of an entire mailing address.

Then, the amount of mailing not addressed is:

= 1 - 3/4

= [tex]\dfrac{4-3}{4}[/tex]

= 1/4

If 6 people shared 3/4 of an entire mailing to address evenly.

Then: each person gets:

[tex]=\dfrac{3}{4} \div 6[/tex]

[tex]=\dfrac{3}{4} \times \dfrac{1}{ 6}[/tex]

= 1/8

The fraction of the entire mail each person address = 1/8

What is the solution, if any, to the inequality |3x|2O?

Answers

Answer:

No solutions

Step-by-step explanation:

Mark bought three pairs of shorts and one pair of shoes. If the shoes cost $25 and he spent
$78.85 before tax, how much do each pair of shorts cost?

Answers

Answer:

17.95 :)

Step-by-step explanation:

25-78.85= 53.85, and 53.85/3= 17.95 so each pair of shorts costed 17.95

Mrs. Barkley is teaching a class in which the students are decorating gift boxes. She wants the students to decorate gift boxes using a ratio of 4 gems for every 3 ribbon flowers.

Dan used 20 gems for every 15 ribbon flowers.
Mary used 22 gems for every 18 ribbon flowers.
Nancy used 18 gems for every 24 ribbon flowers.
Jason used 26 gems for every 20 ribbon flower.

Which student used the correct ratio?

Answers

Dan used 20 gems for every 15 ribbon flowers

i want the ans to this ques​

Answers

Answer:

here you go..............

–4(5x)
simplify .......

Answers

Answer:

-20x.....

Step-by-step explanation:

–4(5x)

-20x

Suppose you need to borrow $90000 at an APR of 5.25% to buy a home.
a) What will your monthly payment be if you opt for a 15-year mortgage?
b) What percentage of your first month's payment will be interest if you opt for a
15 - year mortgage? (Round your answer to two decimal places as a percentage.)
c) How much interest will you have paid by the end of the 15-year loan?

Answers

I honestly don’t know
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