A recipe requires 3 cups of sugar. You can only measure using 2/5 cups. how many 2/5 cups are needed for the recipe

Answers

Answer 1

To find how many 2/5 cups are needed for 3 cups of sugar, divide 3 by 2/5, resulting in 7.5. Therefore, 7.5 of the 2/5 cups are required.

To calculate how many 2/5 cups are needed for a recipe that requires 3 cups of sugar, you can follow these steps:

Determine the total amount required: The recipe requires 3 cups of sugar.

Determine the measurement of the cup you have: You can measure using only 2/5 cups.

Calculate the number of 2/5 cups needed: Divide the total amount needed by the measurement of the cup you have.

This gives you the equation: 3 cups \/ (2/5 cups) = 15/2 = 7.5. Therefore, you will need 7.5 of the 2/5 cups to measure out 3 cups of sugar.


Related Questions

Select the correct answer. What is the solution for x in the equation? A.3 B. -3 C.-1/3 D. 1/3

Answers

Final answer:

The solution for x cannot be provided as the actual equation is missing from the question. Therefore, we are unable to solve for x or determine which of the given options is correct.

Explanation:

The solution for x in the equation cannot be determined from the information provided. The equation itself is missing from the question, so we cannot assess what the correct answer might be from the options A.3, B. -3, C. -1/3, and D. 1/3. Solving for x in any given equation generally involves isolating x on one side of the equation using algebraic operations such as addition, subtraction, multiplication, division, and sometimes applying the quadratic formula if the equation is a quadratic one (ax² + bx + c = 0).

For example, if the equation were as simple as x + 2 = 5, we would solve it by subtracting 2 from both sides to isolate x, finding that x = 3. However, without the specific equation, we cannot proceed with finding a solution for x.

The correct answer is: D. [tex]\(x = -3\)[/tex]

To find the solution for x in the given equation, let's combine like terms and solve for x:

[tex]\[16x - 4 + 5x = -67\][/tex]

Combine the x terms:

[tex]\[21x - 4 = -67\][/tex]

Add 4 to both sides:

[tex]\[21x = -63\][/tex]

Divide by 21 to solve for x:

[tex]\[x = -3\][/tex]

Complete Question:

Select the correct answer. What is the solution for x in the equation?

16x-4+5x=-67

A. x = 1/3

B. x = -1/3

C. x = 3

D. x = -3

Which choice represents the best rational approximation for the square root of 20

Answers

Answer:

the solution is 4.5

Step-by-step explanation:

4.4 or 4.5 if you want it exact 4.472135955

Complete the statement below.

26.4 ÷ 10a = 0.0264, when a = (a is an exponet)

just copy and pasted my benchmarker test xd

Answers

Answer:

I would say 3, since you would need to move the decimal point up 3 times to get .0264

which of the following isn't a composite number? (a): 69 (b): 52 (c): 41 (d): 33 I need is fast plzzzzzzzzzzzzzzzzzzzzz

Answers

c because 41’s only consist of 1 and 41. a has 1,69,3,23. b has 1,52,2,26,4,13. d has 1,33,3,11.

it is c:41 just to verify

How many lawns can you move with one gallon of gasoline if you maintain the rate of 1/2 gallon of gasoline per 1/4 lawn mowed

Answers

Answer:

You can mow 1/2 a lawn with a gallon of gasoline.

Step-by-step explanation:

Start by setting the amounts equal to each other.   .5*.25.

The .5 should become a 1, so multiply it to become the answer of 1. What you do on one side should be repeated on the other side also. So then multiply .25 by 2 to get .5

Is it true that 1 2/5 - 3/4 = 1/4 + 2/5? Prove your answer.

Answers

The statement [tex]1\frac{2}{5}[/tex] - 3/4 = 1/4 + 2/5 is true.

Let's start by converting the mixed numbers into improper fractions:

[tex]1\frac{2}{5}[/tex] = (5 × 1 + 2) / 5 = 7/5

3/4 remains the same.

1/4 + 2/5 = 5/20 + 8/20 = 13/20

To proceed with the calculations, we need to find a common denominator for 5 and 4, which is 20.

Multiplying the numerator and denominator of 7/5 by 4, we get:

(7 × 4) / (5 × 4) = 28/20

Multiplying the numerator and denominator of 3/4 by 5, we get:

(3×5) / (4×5) = 15/20

Therefore, the equation becomes:

28/20 - 15/20 = 13/20

Simplifying the left side:

(28 - 15) / 20 = 13/20

So, 7/5 - 3/4 does indeed equal 1/4 + 2/5, both of which simplify to 13/20.

Hence, the statement [tex]1\frac{2}{5}[/tex] - 3/4 = 1/4 + 2/5 is true.

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Final answer:

After converting all fractions to have a common denominator of 20, it was determined that 1 2/5 - 3/4 is indeed equal to 1/4 + 2/5, as both expressions simplify to 13/20.

Explanation:

To verify if 1 2/5 - 3/4 is equal to 1/4 + 2/5, we will calculate both expressions step by step:

Firstly, to subtract fractions, they must have a common denominator:

1 2/5 can be written as 7/5 since 1 + 2/5 is the same as 5/5 + 2/5.

Now, to make 3/4 have the same denominator as 7/5, multiply both numerator and denominator by 5:

3/4 * 5/5 = 15/20

Next, convert 7/5 to twentieths by multiplying by 4/4:

7/5 * 4/4 = 28/20

We can now subtract the two fractions:

28/20 - 15/20 = 13/20

Now let's calculate 1/4 + 2/5.

To add these two fractions, find a common denominator.

Our common denominator will be 20, as before. Multiply the numerators and denominators as needed:

1/4 * 5/5 = 5/20

2/5 * 4/4 = 8/20

The sum of these two fractions is:

5/20 + 8/20 = 13/20

Through these steps, we have shown that 1 2/5 - 3/4 is indeed equal to 1/4 + 2/5, as they both simplify to 13/20.

The product of 12 and 5 decreased by 17

Answers

Answer: 0

Step-by-step explanation:

12 + 5 = 17

17 - 17 = 0

Hope this helps!

Answer:

0

Step-by-step explanation:

1. you want to add 12 +5 because "product" is the name of the answer to an addition problem

2. you'll get 17

3. subtract 17 from 17

4. you'll get 0

Victoria recently switched to a new electric company. If she uses between 0 and 400 kilowatt-hours (kWh) of electricity per month, the cost is a set price of $30. If she uses 400 kWh or more per month, the price is $0.097 per kWh.

Answers

Answer:

see the explanation

Step-by-step explanation:

The question is

Identify the domain and the range, using words and inequalities

Let

x -----> the number of kilowatt-hours (kWh) of electricity per month

y ----> the price per month

we know that

Part 1) For the value of x between 0 kWh and 400 kWh

[tex]0\ kWh \leq x < 400\ kWh[/tex]

The price is equal to

[tex]y=\$30[/tex]

therefore

The domain is the interval ------> [0,400)

The domain is all real numbers greater than or equal to 0 kWh  and less than 400 kWh

The range is ($30)

The range is equal to $30

Part 2) For the value of x equal to 400 kWh or more per month

[tex]x\geq 400\ kWh[/tex]

The domain is the interval -----> [400, infinite)

The domain is all real numbers greater than or equal to 400 kWh

The price is

[tex]y=0.097x[/tex]

Find the range

For x=400 kWh

[tex]y=0.097(400)=\$38.8[/tex]

so

[tex]y\geq \$38.8[/tex]

The range is the interval -----> [38.8, infinite)

How do you solve this multi-step equation?
-4x-7-3x+4=25

Answers

Answer:

x= -4

Step-by-step explanation:

Combine alike terms:

-7x-3=25

Add a 3 to both sides:

-7x=28

Divide by -7 on both sides:

x= -4

Solve $16x+9=9y-2x$ for $y$ .

Answers

Answer:

The solution for y is y = 2x + 1

Step-by-step explanation:

* Lets explain how to solve an equation for one of the variables

- We need to solve the equation 16x + 9 = 9y - 2 x for y

- That means we want to find y in terms of x and the numerical term

- the equation has two sides, one side contains x and numerical term

 and the other side contains y and x

- We need to separate y in one side, and other term in the other side

* Lets do that

∵ 16x + 9 = 9y - 2x

- Add 2x to both sides to cancel -2x from the right side

∴ 16x + 2x + 9 = 9y - 2x + 2x

- Add like terms in each side

∴ 18x + 9 = 9y

- Divide each term by the coefficient of y ⇒ (÷9)

∴ (18 ÷ 9)x + (9 ÷ 9) = (9 ÷ 9)y

∴ 2x + 1 = y

- Switch the two sides

∴ y = 2x + 1

* The solution for y is y = 2x + 1

Thanks in advance for any help provided to this question!

Mr. Lee drives an average of 58 miles per hour. About how many hours will he take to drive 1,805 miles?

Answers

Answer:

A little over 31hours

Step-by-step explanation:

Use simple proportion

58miles = 1hr

1805miles = ?

(1805x1)/58 = 31.12hrs

Since the question asks you for an estimation, it should be fine to say a little over 31hours but do show full working and the accurate answer

i have 14 post cards from each of 8 cities. I can fit 4 postcards on each page of my scrapbook. how many pages in the scrapbook can be filled with postcards?

Answers

Answer:

28

Step-by-step explanation:

The total of all the post cards from the 8 cities is 112 so 112 divide by 4 (because only 4 can fit in a single page) =28

Which of the following is 28/31 closest to? 0 1/2 1

Answers

The answer of this question is 1.

Closest value of the given fraction [tex]\frac{28}{31}[/tex] is equal to [tex]1[/tex].

What is fraction?

"Fraction is defined as the part of a whole quantity."

According to the question,

Given fraction,

[tex]\frac{28}{31}[/tex]

Simplify the given fraction we get,

[tex]\frac{28}{31} = 0.903...[/tex]

   ≈ [tex]1[/tex] (closest value to [tex]0.903..)[/tex]

Hence, the closest value of the given fraction [tex]\frac{28}{31}[/tex] is equal to [tex]1[/tex].

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Nile has 12 video games. Alex has 4 times that amount.how much more Alex have than Nile?

Answers

Answer:

48 video games

Step-by-step explanation:

Nile has 12 video games, and we know Alex has 4 times the amount. When doing "times" we multiply.

12*4 = 48 video games

Answer:

Alex has 36 more video games than Nile.

Step-by-step explanation:

12 × 4 = 4848 - 12 = 36

what integer describe a loss of 45 yards

Answers

Answer:

-45

Step-by-step explanation:

A loss of 45 yards means losing and it would be negative. Example if you ate 5 cookies is it negative or positive, which is negative cause your taking it away.

Final answer:

A loss of 45 yards in Mathematics is represented as -45. Negative integers are used to signify losses or decrease.

Explanation:

In Mathematics, when we're talking about a loss or decrease, we often refer to negative integers. In this case, a loss of 45 yards would be represented by the integer -45. Whenever you lose something or move in the reverse direction, negative integers are used to represent such situations. Thus, the integer describing a loss of 45 yards is -45.

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Factor the following: 4x^2 + 18x - 10
so far I factored out 2: 2(x^2 + 9x - 5)
what's the next step?

Answers

Your input: factor 4x2+18x−10.

Factor the common term:

(4x2+18x−10)=(2(2x2+9x−5))

To factor the quadratic function 2x2+9x−5, we should solve the corresponding quadratic equation 2x2+9x−5=0.

Indeed, if x1 and x2 are the roots of the quadratic equation ax2+bx+c=0, then ax2+bx+c=a(x−x1)(x−x2).

Solve the quadratic equation 2x2+9x−5=0.

The roots are x1=12, x2=−5 Therefore, 2x2+9x−5=2(x−12)(x+5).

2(2x2+9x−5)=2(2(x−12)(x+5))

Simplify: 4(x−12)(x+5)=2(x+5)(2x−1).

Thus, 4x2+18x−10=2(x+5)(2x−1).

Answer: 4x2+18x−10=2(x+5)(2x−1).

I need back ASAP please help

Answers

Answer:

40

Step-by-step explanation:

11 plus 4 divided by 3 times square root of 64 equals to 40

Answer:

40

Step-by-step explanation:

11+4=15÷3=t

5x8==40

What is 12500 written in scientific notation?

Answers

Answer:The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 12,500 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 12,500

New Number: 1.2500

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 2 5 0 0

Decimal Count: 1 2 3 4

There are 4 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 1.25 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

1.25 x 104

Step 4

Check your work:

104 = 10,000 x 1.25 = 12,500

Step-by-step explanation:

Determine the length arc of JL

Answers

Answer:

The solution is

13

12

π.

Step-by-step explanation:

Arc Length=

m(ARC)

360

· 2πr

Which of the following geometric terms correctly names the red segment
shown inside the circle?
O
A. Axis of symmetry
O
B. Center
O
C. Directrix
O
D. Radius

Answers

Answer:

Unfortunately, I can't see the picture. Can you please submit the picture once more?

The radius of circle is shown by the red segment.

What is Radius?

The radius of a circle is the distance between the circle's centre and any point on its circumference. It is commonly represented by the letters 'R' or 'r'. This number is significant in practically all circle-related formulae. A circle's area and circumference are also measured in terms of radius.

The radius is the distance from the circle's centre to its perimeter. The diameter is always twice as large as the radius.

The point in the center is called as Center of Circle.

Now, the axis of symmetry pass through the center.

Here the red segment which starts from center and touches the boundary of circle is called as the radius of circle.

Thus, the red segment is radius.

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Which ratio is equivalent to 1:5?
3:10 4:20 7: 13 20 : 4

Answers

4:20 is equal to 1:5 because if u diverse both number 4 and 20 by 4 you’ll get 1:5

The ratio 1:5 can be equivalent to the ratio 4:20. To see this, you can multiply both parts of the ratio 1:5 by 4, which gives you 4:20.

The ratio 1:5 can be equivalent to the ratio 4:20. To determine this, you need to find a common factor that you can use to scale up the ratio 1:5 to an equivalent ratio.

In this case, multiplying both parts of the ratio 1:5 by 4 gives you 4:20, which is equivalent.

So, the answer is 4:20.

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Susan had 28 ft of ribbon to complete a wreath project. She needs 3 1/4 ft of ribbon for each wreath project. How many wreaths would Susan be able to make?

Help please 20 points you do

Answers

Answer:

She will be able to make 8 wreaths

Step-by-step explanation:

I got my answer by first converting 3 1/4 into 13/4. I then divide 28 by 13/4 which was multiplying 28 by 4/13.

I got 112 when I did 28 × 4

I then divided 112 by 13

and got 8.615.

Since they are asking for how much wreaths she could make, it is going to be 8

Mean of 6 numbers is 41. Remove one number and the mean of the five numbers is 46. What is the unknown number

Answers

Answer:

- 16

Step-by-step explanation:

This is very tricky. Be careful how you do it.

The total of the six numbers is 6*41 = 246

The total of five numbers = 5*46 = 230

What have you you removed to make the number average go up with a smaller sample? The answer is a negative.

230 - 246 = - 16

Which expression has a value of 32 when m = 8? A. m-8 B. 4m C. m/2 D. M+8 ANSWER ASAP 20 POINTS QUICK

Answers

Answer:

B. 4m

Step-by-step explanation:

What you do is you just take the 8 and put it into the m.

m-8, 8-8=0 so A isn't your answer.

4m, 4(8)=32 so B is your answer.

B. 4m is your answer.

The expression 4m will give 32 at m=8 the correct option is B.


What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be calculated as:-

A. m - 8 = 8 - 8 = 0

B. 4m = 4 x 8 = 32

C. m / 2 = 8 / 2 = 4

D. m + 8 = 8 + 8 = 16

Therefore, the expression 4m will give 32 at m=8 the correct option is B.

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Decompose the rectangle along the diagonal and recompose the two pieces to make a different shape. How does the area of this new shape compare to the area of the original rectangle? Explain how you know

Answers

Answer:

Its the same area as the original shape.

Step-by-step

If you descompose a original area into smaller pieces. The mathematical process of cutting areas won’t add or substract area. Even of you cut the original area to infinitesimal size pieces, the infinite number of pieces will sum up the same area as original area.

Final answer:

When a rectangle is decomposed along the diagonal and repositioned, the resulting shape is a parallelogram with the same area as the original rectangle.

Explanation:

To decompose the rectangle along the diagonal, we can cut it in half from one corner to the opposite corner. This creates two right triangles. We can then reposition the triangles to create a parallelogram. The area of the parallelogram is the same as the area of the original rectangle.

This can be shown using the formula for the area of a triangle, which is 1/2 times the base multiplied by the height. Since the base and height of each triangle are equal to the length and width of the rectangle, the area of each triangle is (1/2) * length * width.

When we rearrange the triangles to form a parallelogram, the base is equal to the length of the rectangle and the height is equal to the width of the rectangle. Thus, the area of the parallelogram is length * width, which is the same as the area of the original rectangle.

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10(1 + 3b)=-20 solve

Answers

10 + 30b = -20
30b = -30
B=-1

10(1 + 3b) = -20

Isolate b.

Apply the distributive property: a(b + c) = ab + ac.

10(1 + 3b) = -20

10 + 30b = -20

Subtract 10 from both sides.

10 + 30b - 10 = -20 - 10

30b = -30

Divide both sides by the coefficient, 30.

b = -1

Answer:

-1

What is the slope of the line described by the equation below?

Answers

Answer:

7

Step-by-step explanation:

26 ptss!! select the expressions that are equivalent to the expression below.

Answers

Answer:

1st, 2nd, and last.

Step-by-step explanation:

For the first two common rules can be applied such as [tex]n\sqrt{a/b}[/tex] = [tex]\frac{\sqrt[n]{a} }{\sqrt[n]{b} }[/tex] and that [tex]\sqrt[n]{\frac{a}{b} } = (\frac{a}{b})^{n}[/tex]

and for the last one this is just simplifying the radical and if you factor it you realize that, [tex]\frac{750}{512} = \frac{5^3}{8^3}*6[/tex] meaning that you can take the radical off of 5/8 and end up with that final answer

Answer:(A), (B) and (E)

Step-by-step explanation:

I got a 100% on my test

Nine is less than a number is no more than 8 and no less than 3

Answers

Answer:

3 <= x <= 8

Step-by-step explanation:

A number is denoted as an arbitrary variable, let's call it x.

We have a double inequality:

1. No more than 8 means less than or equal to 8

2. No less than 3 means greater than or equal to 3

3 <= x <= 8

Answer:

12 ≤ n ≤ 17

Step-by-step explanation:

Let n - number

Nine less than a number: n - 9

is no more than 8: ≤ 8

and no less than 3: 3.

We have the inequality:

[tex]3\leq n-9\leq8\qquad\text{add 9 to all sides}\\\\3+9\leq n-9+9\leq8+9\\\\12\leq n\leq17[/tex]

Mrs.Eng bought 4 packs of glue sticks. Each pack has 5 glue sticks. Her class uses 2 of the glues sticks for a project. How many glue sticks are left?

Answers

Answer:

there 18 glue sticks left

Step-by-step explanation:

4 times 5= 20-2 it says that she uses 2 glue sticks and to start she had 20 so 20-4 =18

Answer:

18

Step-by-step explanation:

I did it and got it correct

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