Paolo is using his grandmother's breakfast bar recipe. He always doubles
the amount of yogurt and oats. The recipe calls for 2 1/2 cups of
yogurt.
The total amount of yogurt and oats after doubling is 6 1/3 cups. Write an
equation to find the original amount of oats in the recipe.
I just need the equation i don't need the answer!!!! pls help me!!!!

Answers

Answer 1

Answer:

[tex]6\frac{1}{3}[/tex] = [tex]2\frac{1}{2}[/tex] * 2 + [tex]\frac{x}{2}[/tex]

Step-by-step explanation:

lets start with what we know.

the recipe calls for 2 [tex]\frac{1}{2}[/tex] cups of yogurt. and Paolo doubles the recipe. so multiply the recipe for yogurt by 2

2 [tex]\frac{1}{2}[/tex] * 2 = 5 cups of yogurt.

the total of yogurt and oats is [tex]6\frac{1}{3}[/tex] and we know how much yogurt we have so we subtract that from the total of both.

[tex]6\frac{1}{3}[/tex] - 5 = [tex]1\frac{1}{3}[/tex]

the oats after doubling were [tex]1\frac{1}{3}[/tex] cups so u divide it by 2

[tex]1\frac{1}{3}[/tex] / 2 = [tex]\frac{2}{3}[/tex] before doubling


Related Questions

Find the circumference of a circle with a diameter of 6 cm. Leave your answer in terms of pi
9 pi cm
24pi cm
12pi cm
бpi cm

Answers

6 π cm-------------------------------

Step-by-step explanation:

diameter = 6cm

radius = diameter ÷ 2

= 6 ÷ 2

= 3cm

circumference = 2π × radius

= 2 π × 3cm

= 3π cm

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What is the distance between the points (2, 3) and (5, -4)?
7.6 units
6.3 units
3.7 units
10 units

Answers

Answer:

7.6 units

Step-by-step explanation:

d=(5−2)2+(−4−3)2−−−−−−−−−−−−−−−−√

d=(3)2+(−7)2−−−−−−−−−−√

d=9+49−−−−−√

d=5–√8

d=7.615773

Find the value of the expression below for x = 3.

x2+ 5

A.8 B.11 C.14

Answers

Answer:

11

Step-by-step explanation:

Plz mark brainliest thanks

0.5 divided by 0.05 plz show work

Answers

Answer:

Step-by-step explanation:

Answer: 10

working below!

PLEASE HELP I WILL GIVE BRAINLIEST!!

Answers

Answer:

43.96

Step-by-step explanation:

To find Circumference the formula is

2*3.14*R=C

replace R with your radious which is 7

2*3.14*7=43.96

4.5% of what number is 99?​

Answers

Answer:

2200

Step-by-step explanation:

4.5% × ? = 99

? =

99 ÷ 4.5% =

99 ÷ (4.5 ÷ 100) =

(100 × 99) ÷ 4.5 =

9,900 ÷ 4.5 =

2,200

What is the least common denominator of 11/14 and 11/15

Answers

Answer:

210

Step-by-step explanation:

210 is the least common multiple of 14 and 15

How would you describe the correlation in the data? Explain your reasoning.

Answers

Answer:

Where is the options

Step-by-step explanation:

Answer: sorry where's the pic?

Step-by-step

A system of equations is shown below,

y = 5x + 2
10x - 2y = 12

what is the solution to the system of equations?

Answers

Answer: No solution
Step by step:
10x-2(5x+2)=12
10x-10x-4=12
0x=16
No solution

Which word best describes the degree of overlap between the
two data sets?

Low
high
none
moderate

Answers

Answer:

moderator since the lines are similar

hope it helps <3!

Step-by-step explanation:

100% correct

The overlap between both data sets can best be described as being moderate.

What is the degree of overlap between both sets?

The degree of overlap shows the pairwise distance that can be observed between the variables in both data sets.

The degree of overlap above can be said to be moderate because the pairwise distance isn't too different.

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In ΔDEF, the measure of ∠F=90°, the measure of ∠D=67°, and FD = 7.4 feet. Find the length of EF to the nearest tenth of a foot.

Answers

Answer:

14.2 ft

Step-by-step explanation:

tan 66° = 32/ FD

FD = 32 / tan 66° = 32 / 2.246 = 14.2

hope it helped you

Answer:

17.4

Step-by-step explanation:

\tan D = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{7.4}

tanD=

adjacent

opposite

=

7.4

x

\tan 67=\frac{x}{7.4}

tan67=

7.4

x

7.4\tan 67=x

7.4tan67=x

Type into calculator and round to the nearest tenth of a foot.


please i will mark you brill help me

Answers

Answer:

2n + 20

Step-by-step explanation:

2n + 20

2 times anything doubles it, then you are adding 20. An expression doesn’t have an equal sign (equations do)

someone please help on this homework question

Answers

Answer:

25%, 40 trees, 50%, 36 trees


The measurements of a rectangular room, in a scale drawing, are 2 inches by 3
inches. The scale is inch = 3 feet. If carpet costs $1.75 per square foot, how much will
it cost to put carpet in this room?

Answers

Answer:

so,

the room (2×3) × (3×3) feet, or 6x9 feet.

6x9= 54square feet

54 x 1.75= $94.50

Each unit on the grid below represents 1 cm. Find the height of the arrow on a rescaled drawing using the scale 1cm= 0.5 m.

Answers

Answer:

8

Step-by-step explanation:

add them duh

if the expression (2x^4)^3 was written in ax^b form, which of the following would be the sum of a and b

Answers

Answer:20

Step-by-step explanation:

What is the solution set for (2x-7)^2=25

Answers

The solution set for the quadratic equation (2x - 7)² = 25 is 6 and 1.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

The solution set for a quadratic equation is the roots of the quadratic equation.

Given, (2x - 7)² = 25.

2x - 7 = ± 5.

2x = ± 5 + 7.

x = (± 5 + 7)/2.

x = 12/2 Or 2/2.

x = 6 or 1.

learn more about quadratic equations here :

https://brainly.com/question/11589380

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There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is 7/9.
There are 42 red marbles in the bag and each is equally likely to be chosen.
Work out how many marbles in total there must be.

Answers

Answer:

do 7/9*42. then you will get answer

Probability helps us to know the chances of an event occurring. The total number of red marbles in the bag is (7×42)/9.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that there are 42 red marbles in the bag and each is equally likely to be chosen. Also, The probability of randomly choosing a red marble is 7/9. Therefore, the total number of red marbles in the bag is,

Number of red marbles = 7/9 × 42

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Ninja gym membership costs $33 per month after an initial membership fee. You paid a total of $338 after 5 months. Write an equation that gives you the total cost related to the months of your gym membership.

Answers

33x + 173 = total

To find this you have the equation 33x + m = 338. It tells us that this is after 5 months, so now we put 5 into x and multiply to get 165. Now the equation looks like 165 + m = 338. Subtract 165 from both sides to find m, which leaves us with 173 for the initial fee. Now you just have to rewrite the equation to be 33x + 173 = Total amount

The function f(3) = 50.000(0.975)", where x represents the underwater
depth in meters, models the intensity of light below the water's surface in lumens per
square meter. What is the intensity of light 200 meters below the surface

Answers

9514 1404 393

Answer:

  316 lumens/m²

Step-by-step explanation:

We assume your intensity function is ...

  f(x) = 50,000(0.975^x) . . . . x meters below the surface

__

Use 200 for x and do the arithmetic.

  f(200) = 50,000(0.975^200) ≈ 316 . . . . lumens/m²

When simplifying radical expressions, what combination of factors are you looking for and why?​

Answers

Before we can simplify a radical expression, we must know the important ... The idea here is to find a perfect square factor of the radicand, write the radicand as a ... Sometimes we need to use a combination of steps.

Write an expression to describe the sequence below. Use n to represent the position of a
term in the sequence, where n = 1 for the first term.
11, 12, 13, 14, ...

Answers

Answer:

n+10

Step-by-step explanation:

This is applicable because if you plug in the numbers it will work for example. -

what sequence is 12 in, it is the second number so n=2

so add 10 to 2 which is 12

So as seen the answer is n+10

thanks and mark me brainliest

Bob gets paid an annual salary of $30,000 and earns 5% commission on all sales he makes. If Bob wants to make $6,000 this month, how much in sales does he need to have?
a.
$50,000
b.
$70,000
c.
$90,000
d.
$120,000

Answers

Answer:

The answer is 70,000 sales.

Bob gets paid an annual salary of $30,000, which means that monthly he gets:

$30,000 : 12 months = $2,500 per month

x - number of sales

Bob earns 5% commission on all sales he makes: x * 5% = x * 0.05 = 0.05x

The function is:

f(x) = 2,500 + 0.05x

Bob wants to make $6,000 this month: f(x) = 6,000

2500 + 0.05x = 6000

0.05x = 6000 - 2500

0.05x = 3500

x = 3500 : 0.05

x = 70000 sales

Step-by-step explanation:

Sales for the month should amount to $70,000

Annual salary = $30,000

Commission on sales = 5%

To make 6000 in a month :

Monthly salary = $30000 / 12 = $2500

Month earning = $2500 + 5% × (monthly sales)

Month earning = $6000

Let month sales = m

6000 = 2500 + 0.05m

6000 - 2500 = 0.05m

3500 = 0.05m

m = 3500 / 0.05

m = 70,000

Sales for the month should be 70,000

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Rewrite the equation by completing the square.
x2 + 7x + 12 = 0

Answers

Answer:

9x²+12=0

Step-by-step explanation:

Anna wants to celebrate her birthday by eating pizza with her friends. For $42.50 total, they can buy p boxes of pizza. Each box of pizza costs $8.50.

Answers

Answer: they can get 5 pizzas

Step-by-step explanation:

42.50 divided by 8.50 is 5

Answer:

They can buy 5 pizzas.

Step-by-step explanation:

Raul ate 7/8 of 1/2 a pizza. How much of the pizza did Raul eat?

Answers

Answer:

7

16

Step-by-step explanation:

7/8× 1/2=

7 × 1

8 × 2

=7/16

Two years ago, the average number of customers in your all of your company's stores per week was 3173 customers. This figure had increased 6% over the previous two years. Assume that you are doing a current study to test the claim that the mean weekly number of customers is different than it was two years ago. Assume a population standard deviation of 1,550 customers. Suppose you look at a random sample of 73 stores and find an average weekly customer total of 3,391. You wish to test the claim stated above at the 0.10 level. Run the appropriate hypothesis test.

Required:
Write ONLY the conclusion to your hypothesis test.

Answers

Answer:

Accept the null hypothesis

Step-by-step explanation:

Two years ago, the average number of customers in your all of your company's stores per week was 3173 customers. Assume that you are doing a current study to test the claim that the mean weekly number of customers is different than it was two years ago.

The null hypothesis is:

[tex]H_{0} = 3173[/tex]

The alternate hypothesis is:

[tex]H_{A} \neq 3173[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Due to our test, we have that [tex]\mu = 3173[/tex]

Assume a population standard deviation of 1,550 customers.

This means that [tex]\sigma = 1550[/tex]

Suppose you look at a random sample of 73 stores and find an average weekly customer total of 3,391.

This means that [tex]n = 73, X = 3391[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3391 - 3173}{\frac{1550}{\sqrt{73}}}[/tex]

[tex]z = 1.24[/tex]

p-value:

Since we are testing if the mean is different of a value, and the z-score is positive, the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 1.24.

z = 1.24 has a pvalue of 0.9251

2*(1 - 0.9251) = 2*0.0749 = 0.1498

0.1498 > 0.1, which means that we accept the null hypothesis, that is, that the mean weekly number of customers is equal to what it was two years ago at the 0.1 level of significance.

Find the equation of the line with slope m=−12 that contains the point (2,−4).

Answers

Answer:

y=-12x+20

Step-by-step explanation:

-4=-12(2) +b

-4=24+b

(add 24 both sides)

20=b

slope: -12

y intercept: (0,20)

Answer:

y + 4 = -12(x - 2)

Step-by-step explanation:

Use the point-slope formula for the equation of a straight line:

y - k = m(x - h)

Here m = -12, h = 2 and k = -4, and so we have:

y + 4 = -12(x - 2)

If a⋅b+c⋅d=12, and a,b,c and d are all integers greater than 1, how many values are possible for a, if a, b, c, and d are not necessarily distinct?

Answers

Answer:

hajajhagshausuwuw8h1v2os q

there are 3 consecutive even integers. three times the smallest is twice the largest. what are the integers

100 poi's SOLVE FAST PLZ AND I WILL GIVE BRAINLEITS I PORMISE

Answers

Answer:

8,10,12

Step-by-step explanation:

Answer:

integer 1 = 8

integer 2 = x+2 = 8+2 = 10

integer 3 = x+4 = 8+4 = 12

Step-by-step explanation:

integer 1 = x , smallest

integer 2 = y , x+12

integer 3 = z , largest, x+4

three times the smallest is twice the largest.

3 (x) = 2 (x+4)

solve for x:

3x = 2x + 8

3x-2x = 8

x = 8

Replacing:

integer 1 = 8

integer 2 = x+2 = 8+2 = 10

integer 3 = x+4 = 8+4 = 12

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