If you only have a
1
6
cup measuring cup and a recipe calls for
15
1
6
cups of flour, how many 1/6 cups would you need to use?

Answers

Answer 1

Hi! I'm happy to help!

To solve this problem, we need to divide the recipe amount in 1/6 amounts. So, we will do a fraction division problem like this:

15[tex]\frac{1}{6}[/tex]÷[tex]\frac{1}{6}[/tex]

This problem is hard to do with mixed numbers, so we need to turn 15[tex]\frac{1}{6}[/tex] into an improper fraction. To do that we need to multiply 15 by 6, because that is our denominator, then add the extra [tex]\frac{1}{6}[/tex].

(15×6)+1

90+1

91

So, our improper fraction would be[tex]\frac{91}{6}[/tex], now, let's solve.

[tex]\frac{91}{6}[/tex]÷[tex]\frac{1}{6}[/tex]

It is difficult to do division problems on their own, so we can change this into an easier problem. We can do the inverse operation and turn this into multiplication. We do this by changing it to multiplication (obviously), then flip the second fraction.

[tex]\frac{91}{6}[/tex]×[tex]\frac{6}{1}[/tex]

Now, we just multiply the top by the top, and bottom by the bottom.

[tex]\frac{546}{6}[/tex]

We could end it here, but we want a whole number, so, we simplify the number by dividing both the top and bottom by 6.

[tex]\frac{91}{1}[/tex]

Anything over 1, is just a whole number

91.

Therefore, the recipe should require 91 uses of the 1/6 cup.

I hope this was helpful, keep learning! :D


Related Questions

We are given both the slope and y-intercept so writing the equation in slope-intercept form is a breeze! Label both the slope and y-intercept and them substitute them into the general form of slope-intercept form. So, y=4x−3.

Answers

Answer:

below

Step-by-step explanation:

hope it is well understood?

The slope is 4 and y- intercept is 13

What is slope?

A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics.

A slope exists Numerical calculation of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment stands as the proportion of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).

Given

Slope

y = 4x-3

dy/dx = 4

slope =  4

intercepts y = 4(4) 3

y = 16-3

y = 13

To learn more about slope refer to:

https://brainly.com/question/1570952

#SPJ2

Given the functions below, find f(x) - g(x) f(x) = 2x + 5 g(x) = x^2 - 3x + 1

Answers

Answer:

One of these

Step-by-step explanation:

The soil samples for the next field indicate that fertilizer coverage needs to be
greater. To achieve this, you need to increase flow rate. How would you achieve
this?
A. Increase speed to approximately 7.1 mph so that you cover the field more
quickly
B. Increase the engine speed to approximately 2,000 rpm
C. Decrease speed to approximately 6.0 mph so that you cover the field more
slowly
D. Shift to second gear so that the engine speed slows

Answers

Answer:

A. Increase speed to approximately 7.1 mph so that you cover the field more.

Step-by-step explanation:

The soil samples for the next field require more fertilizer coverage therefore there is need for more field coverage by the equipment. The speed of the tractor will be increase to 7.1 mph so that greater area can be covered in lesser time.

IBM issued 30-year bonds with an annual simple interest rate of 6.22%. Find the semiannual interest payment on a$5,000 bond.

Answers

9514 1404 393

Answer:

  $155.50

Step-by-step explanation:

The interest is given by the formula ...

  I = Prt

where P is the principal earning interest at annual rate r for t years. The interest period here is 1/2 year.

  I = $5000×0.0622×1/2 = $155.50

The semiannual interest payment is $155.50 on this bond.

ajoke needs 400000 for her tuition. if her bank gives a 9% 180 day loan notes, with interest compounded daily, what would she owe at the end of 180 days? (assume 360days a year). what is the effective rate of interest?​

Answers

Answer:

Very hard question i don't help you

Corinne solved the equation below:

5x = 95
5x − 5 = 95 − 5
x = 90

Is Corinne's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.

Answers

Answer:

The solution is incorrect

Step-by-step explanation:

5x = 95

We need to do the opposite

We are multiplying x by 5 so we need to divide by 5

5x/5 = 95/5

x = 19

Corinne's solution is incorrect.

The mistake occurred when she subtracted 5 from both sides of the equation.

We have,

To solve the equation correctly, we need to isolate the variable x. Here are the correct steps:

Starting with the equation:

5x = 95

To isolate x, we divide both sides of the equation by 5:

(5x) / 5 = 95 / 5

x = 19

Thus,

The correct solution to the equation is x = 19.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 12 cm and the width is 8 cm, how fast is the area of the rectangle increasing

Answers

Answer:

Step-by-step explanation:

This is a super simple problem. I'm going to walk through it as I do when I teach this to my students for the first time.

We are given a rectangle. We are told to find how fast the area is changing under certain conditions. That tells us that the main equation for this problem is the area formula for a rectangle which is

[tex]A=lw[/tex]. If we are looking for the rate at which the rectangle's area is changing, that means that we need to find the derivative of the area implicitly. This derivative is found using the product rule because the length is being multiplied by the width:

[tex]\frac{dA}{dt}=l\frac{dw}{dt}+w\frac{dl}{dt}[/tex] . If our unknown is the rate at which the area is changing, [tex]\frac{dA}{dt}[/tex], that means that everything else has to have a value (because you can only have one unknown in an equation). Here's what we're told:

The length of the rectangle is increasing at a rate of 7 cm/s, so that satisfies our [tex]\frac{dl}{dt}[/tex];

the width is increasing at a rate of 6 cm/s, so that satisfies our [tex]\frac{dw}{dt}[/tex];

and all of this is going on when the length = 12 and the width = 8. It looks like everything will have a value except for our unknown. Filling in:

[tex]\frac{dA}{dt}=12(6)+8(7)[/tex] and

[tex]\frac{dA}{dt}=72+56[/tex] so

[tex]\frac{dA}{dt}=128\frac{cm^2}{s}[/tex]

Complete the square to solve the equation below.
Check all that apply.
x^2-10x-4=10

Answers

1. Move terms to the left side

2.Subtract the numbers

3.Use the quadratic formula

4.Simplify

5.Separate the equations

6.Solve

Rearrange and isolate the variable to find each solution.

Solution,

Solution

x=5±√39

On her summer abroad in France, Jane bought a pair of shoes for 54.82 euros. The store owner only had francs to give her as change. She gave him 55 euros. How much did he give her back in francs

Answers

Answer:

0.19

Step-by-step explanation:

Jane bought a shoe for 54.82 euros

She gave the store owner 55 euros

= 55-54.82

= 0.18 euros to franc

= 0.18× 1.08222

= 0.19 franc

PLEASE HELP WILL MARK BRAINLIEST! Also please explain the answer

Answers

Answer:

Each triangle is a right triangle.

Step-by-step explanation:

You can see each one has one 90 degree corner.

Answer:

13. True

14. True

15. False

Step-by-step explanation:

By using the Pythagorean Theorem a^2+b^2=c^2, you can evaluate whether or not the triangles are right triangles.

13. 8^2+15^2=17^2   ->  64+225=289  -> TRUE

14. 50^2+120^2=130^2  -> 2500+14400=16900  -> TRUE

15. 12^2+35^2=36^2  -> 144+1225 =/=1296 -> FALSE

For the parallelogram, if m∠2=4x+30 and m∠4=2x+70, find m∠3.

Answers

M angle 1=164

Hope that helped

Triangle A”B”C is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin. Which equation explains the relationship of BC and B”C? PLEASE HELP

Answers

9514 1404 393

Answer:

  (b)  BC = B"C"/3

Step-by-step explanation:

Choices A, C, D are all different ways of expressing the same relationship, and they are all incorrect.

B"C" is segment BC after dilation by a factor of 3, so it is 3 times as long as BC. That is, BC is 1/3 the length of B"C", choice B.

A tent maker wishes to support a 8-ft tent wall by attaching cable to the top of it, and then
anchoring the cable 7 feet from the base of the tent.
How long of a cable is needed?
Round your answer to the nearest tenth of a foot.
Answer with a numeric value only. That is, do not include "ft" or "feet" with your response.
Cable
Ground

Answers

Answer:

10.6

Step-by-step explanation:

A simple sketch of the question would give a right angled triangle. So that we can easily apply the Pythagoras theorem to determine the length of the cable required.

Let the length of the cable required be represented by x.

[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]7^{2}[/tex]

   = 64 + 49

[tex]x^{2}[/tex] = 113

x = [tex]\sqrt{113}[/tex]

  = 10.63

x = 10.6

The length of the cable required is 10.6 in feet.

The length of the cable needed to support the tenth wall is approximately 10.6 ft.

The situation forms a right angle triangle.

Right angle triangle:

Right angle triangle has one of it side as 90 degrees.

Therefore,

The tent wall is the opposite side of the triangle.

The table feet from the base of the tent is the adjacent side of the triangle.

Using Pythagoras's theorem the cable needed can be found.

Therefore,

c² = 8² + 7²

c² = 64 + 49

c = √113

c = 10.6301458127

length of the cable ≈ 10.6 feet

learn more on right triangle here: https://brainly.com/question/22734015

. if f(x+3)=x+6 find inverse of function f(x)​

Answers

Answer:

g(x)=x-3

Problem:

If f(x+3)=x+6 find inverse of function f(x).

Step-by-step explanation:

Let u=x+3, then x=u-3.

Make this substitution into our given:

f(u)=(u-3)+6

Simplify:

f(u)=u+(-3+6)

f(u)=u+3

Now let's find the inverse of f(u)...

Or if you prefer rename the variable...

f(x)=x+3

Now, we are going to solve y=x+3 for x.

Subtracting 3 on both sides gives: y-3=x.

Interchange x and y: x-3=y.

So the inverse of f(x)=x+3 is g(x)=x-3.

Answer:

The answer is g(x)=x-3

Step-by-step explanation:

If f(x+3)=x+6 find inverse of function f(x).

Let u=x+3, then x=u-3.

Make this substitution into our given:

f(u)=(u-3)+6

Simplify:

f(u)=u+(-3+6)

f(u)=u+3

Now let's find the inverse of f(u)...

Or if you prefer rename the variable...

f(x)=x+3

Now, we are going to solve y=x+3 for x.

Subtracting 3 on both sides gives: y-3=x.

Interchange x and y: x-3=y.

So the inverse of f(x)=x+3 is g(x)=x-3.

What is the answer to this question in the picture

Answers

9514 1404 393

Answer:

  [tex]\displaystyle\sqrt{x+7}-\log{(x+2)}[/tex]

Step-by-step explanation:

It's pretty straightforward. You want ...

  f(x) - g(x)

Substituting the given function definitions gives ...

  [tex]\displaystyle\boxed{\sqrt{x+7}-\log{(x+2)}}[/tex]

Given the similarity statement
AJKL ANOP, what's the
corresponding side of ON ?

Answers

Answer:

ON = KJ

Step-by-step explanation:

JKL = NOP

We know the angles match

<J = <N

<K = <O

< L = <P

And we know

JK = NO

KL =  OP

JL = NP

We are looking for ON = KJ

9514 1404 393

Answer:

  (d)  KJ

Step-by-step explanation:

The segment of interest is named using the 2nd and 1st letters of the right side of the similarity statement.

The corresponding segment will be named using the 2nd and 1st letters of the left side of the similarity statement: KJ.

A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.7 hours.
Group of answer choices

A. 0.1946
B. 0.1285
C. 0.1469
D. 0.1346

Answers

Answer:

b. 01285 esa es, espero este buena y que te ayude

Which answer explains the correct way to move the decimal to find the quotient of 14.6 ÷ 10,000?

three places to the right.
three places to the left.
four places to the left.
four places to the right

Answers

Answer:

Four places to the left.

Step-by-step explanation:

14.6/10000

=> 1.46/1000 [Shifted 1 decimal place after dividing by 10]

=> 0.146/100 [Shifted 1 decimal place after dividing by 10]

=> 0.0146/10 [Shifted 1 decimal place after dividing by 10]

=> 0.00146   [Shifted 1 decimal place after dividing by 10]

Number of decimal places = 1+1+1+1=4

Four places to the left.

The angles in a triangle represented by x, 3x, and 6x. What is the value of x?
A.20
B.30
C.18
D.36

Answers

Answer:

18

Step-by-step explanation:

The sum of the angles of a triangle is 180

x+3x+6x = 180

10x = 180

Divide by 10

10x/10 =180/10

x = 18

Solve similar triangles (advanced)
Solve for x

Answers

Answer:

4

Step-by-step explanation:

AD=4+8=12=DE thus angle EAD= angle AED=90÷2=45

angle ACB=90-45=45 thus CB=AB=4

Answer:

incorrect answer above

Your help would be very much appreciated I will mark you brainliest as well! :D

Answers

The equation to solve for volume is...

4/3 pi r ^3

4/3 pi (3,375)

4,500pi = 14,137.17

I need help with this​

Answers

Answer:

Statement A is correct

Step-by-step explanation:

Statement A is correct:  Model A1 (0.25) is more prefered than Model C3 (0.15)

what is 2 1/2 divided by 1/3 {pls hurry the teacher is not letting us use brainly}

Answers

Answer:

7 1/2

Step-by-step explanation:

2 1/2 ÷ 1/3

Change to an improper fraction

(2*1+2)/2 ÷ 1/3

5/2 ÷1/3

Copy dot flip

5/2 * 3/1

15/2

Change to a mixed number

7 1/2

Tony calculates that 3 cubic metres of concrete is enough for the path.
He decides to use a concrete mix which has:
• cement = 1 part
• sand = 2 parts
gravel = 3 parts
How many cubic metres of gravel does Tony need?
0.5

Answers

Answer:

1.5 cubic metres

Step-by-step explanation:

Given that in a concrete mix, cement makes up 1 part, sand makes up 2 parts and gravel makes up 3 parts.

The total number of parts = 1 + 2 + 3 = 6 parts.

The amount of marvel present the concrete mix = amount of marvel / total mix

= 3 parts / 6 parts = 1/2

Since 3 cubic metres of concrete is enough for the path, hence the amount of gravel needed is:

Amount of gravel = 1/2 * 3 cubic metres of concrete = 1.5 cubic metres

The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet that are shorter than 22 cm, approximately what percent of adult women have feet longer than 27.2 cm?

Answers

Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The feet of the average adult woman are 24.6 cm long

This means that [tex]\mu = 24.6[/tex]

16% of adult women have feet that are shorter than 22 cm

This means that when [tex]X = 22[/tex], Z has a p-value of 0.16, so when [tex]X = 22, Z = -1[/tex]. We use this to find [tex]\sigma[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1 = \frac{22 - 24.6}{\sigma}[/tex]

[tex]-\sigma = -2.6[/tex]

[tex]\sigma = 2.6[/tex]

Approximately what percent of adult women have feet longer than 27.2 cm?

The proportion is 1 subtracted by the p-value of Z when X = 27.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{27.2 - 24.6}{2.6}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.84.

1 - 0.84 = 0.16

0.16*100% = 16%.

Approximately 16% of adult women have feet longer than 27.2 cm.

convert the following decimals to a simplified fraction, showing all wok

Answers

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Have a nice day

Answer:

first let y=1.33 (with a _ on top of the threes after the decimal) then let 100y=133.33( with a _on top of the threes after the decimal)then subtract eq(ii) -eq(I) which is left side 100y-y= 99yright side 133.33-1.33=132then 99y=132then y=132/99 hence converted to fraction

The product of two numbers is 60 and thei r sum is it, find the Numbers​

Answers

2*30
Im not sure but i tried it

Polynomial: 3x^4 + 5x - 4; Divisor: x - 1​

Answers

Answer:

3x³+3x²+3x+8+[tex]\frac{4}{x-1}[/tex]

Step-by-step explanation:

You can use synthetic division for this problem since the divisor is in (x-a) form. The fraction is the remainder over the divisor.

Select the correct answer from each drop-down menu?

Answers

9514 1404 393

Answer:

second3firstis

Step-by-step explanation:

We observe that the second equation of System B has had the x-term eliminated. That can be accomplished by adding 3 times the first equation to the second.

"To get System B, the second equation in System A was replaced by the sum of that equation and 3 times the first equation. The solution is the same as the solution to System A."

50 POINTS PLEASE HELP ME

Answers

Hello!

f(g(x)) = 4 - 2 × (3x²) <=>

<=> f(g(x)) = 4 - 6x²

Answer: B. f(g(x)) = 4 - 6x²

Good luck! :)

Let we find the composition,

→ f(g(x)) = 4 (-2 × 3x²)

→ f(g(x)) = 4 -6x²

Hence, option (B) is the answer.

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