A candy maker is mixing up some sugar syrup for use in making sweets. How much of 30% sugar syrup should she add to 12 liters of 20% sugar syrup to obtain a mixture that contains 26% sugar? Write your answer as a whole number or as a decimal rounded to the nearest tenth.

Answers

Answer 1

Answer:

She should add 18 liters of 30% sugar syrup

Step-by-step explanation:

Let the amount of sugar syrup be x

Mathematically;

30% of x liters + 20% of 12 liters = 26% of (x + 12)

So, we have

0.3x + 2.4 = 0.26x + 3.12

0.3x-0.26x = 3.12-2.4

0.04x = 0.72

x = 0.72/0.04

x = 18


Related Questions

the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p

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Answer:

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The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

To solve more questions on equation modelling, visit the link below-

brainly.com/question/9144182

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The expression 2y+ 2.6 is equal to ? for y=5

Answers

Answer:

Its 12.6

Step-by-step explanation:

first we multiply 2 by 5 and get 10. Then we add 10 to 2.6 and get 12.6 for your answer.

Answer: 12.6

Step-by-step explanation:

2(5)+2.6

10+2.6

12.6

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

2nd answer

Step-by-step explanation:

Answer: 6, 10, 16

Reason:
with a triangle the longest angle should be lower than the two smaller angles combined.

Take for instance

5, 11, 15

5+11= 16

16 is greater than 15

12+ 20= 32

32 is greater

12 + 20 = 32

32 is greater than 30

10 + 6 = 16

16 is not greater than 16

Hope this helps

SOMEONE PLEASE HELP WILL MArk BRAINLIEST ‼️‼️

Answers

Answer:

y=3x+2

Step-by-step explanation:

how many boys perfer the ferris wheel?

Answers

Answer:

10 Boys

Step-by-step explanation:

10 boys prefer the Ferris wheel because the total amount of boys is 35, but 23 of those 35 boys prefers the Super Slide, meaning what's left is who prefers the Ferris wheel since there are only 2 options for them to choose from.

35 boys - 23 boys (who like the Super Slide) = 10 boys (the remainder who likes the Ferris wheel).

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

10 boys because they have to school tomorrow and then I can play with my friends at the same school lol I can get you to the school and I can play with my kids if I don’t want you out and then you have a birthday and then you go out to school and I get you out and I can play play it on my birthday if I get home I’m not gonna play with me I just don’t know if it’s not ok with that I’m going out with the bus I just don’t know if it’s a because

what is 149866.37636 rounded to the nearest whole number​

Answers

Answer:

149866 is the nearest whole number.

Step-by-step explanation:

How do cells maintain homeostasis? Describe one way a cell will maintain stable internal conditions.

Answers

Answer:

One way that a cell maintains homeostasis is by controlling the movement of substances across the cell membrane. Cells are suspended in a fluid environment.

Multiply
(1.4 x 105)(2 x 107)

Answers

Answer:

31458

Step-by-step explanation:

(1.4 x 105) = 147

(2 x 107) = 247

147 x 247 = 31,458

A wire is needed to support a vertical pole 4 feet tall. The cable will be anchored to a stake 3 feet from the base of the pole. How
much cable is needed?
4 ft
3 ft
A cable of length
feet is needed.
Enter your answer in the answer box.

Answers

Answer:

I think its 5 feet

Step-by-step explanation:

I used Pythagorean theorem

10. In a warehouse, the workers sometimes slide boxes along the floor to move them. Two boxes
were sliding toward each other and crashed. The crash caused both boxes to change speed. Based
on the information in the diagram, which statement is correct? In your answer, explain what the
forces were like and why the boxes changed speed (5pts)
Box 1 has more mass than Box 2.
Box 1 and Box 2 are the same mass.
Box 1 has less mass than Box 2.

Answers

Answer:

The Box 1 and Box 2 are the same mass.

Explanation:

It caused both to change speed because they have both the same mass.

Blake sold 17 verses for $3.25 each he spent $16.21 on materials to make the vases what is the profit

Answers

Answer:

We can calculate what did he get, as we know he sold 17 vasess for 3.25 dollars each of them, we can multiply:

17 * 3.25 = $55.25

Now, we know he got 55.25 dollars but he spent 16.21, so we substract:

55.25 - 16.21 = $39.04

His profit selling that is of 39.04 dollars..

If 4 soap cakes cost Rs 50, find the cost of 3 dozen soap cakes.

Answers

50 divided by 4 is 12.5, so it is 12.5 for 1 soap cake, 12.5 x 36 is 45.0

The answer is 45.0

Mark Branliest!

The answer is $45.000

What is the range of {( -1,6), (2,0), (9,-3), (-4,6)}

Answers

Answer:

Range: {6,0,-3}

Step-by-step explanation:

so
How would you write 6.5E4

Answers

Hope that helps



6.5 x 10^4

Or

65000

Because Kendall's business spent more money than it collected, the business's balance sheet showed a balance of -$1,280$ at the end of the month. The next day, Kendall's business spent $560 on new tools. Part A Kendall determines that the new balance is -$720 because 1,280 + 560 = -720 . Did Kendall correctly determine the new balance? Explain why or why not. If not, calculate the new balance. Respond in the space provided.

Answers

Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.

Step-by-step explanation:

From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.

Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:

= -$1280 - $560

= - $1840

The new balance is -$1840

Answer:

She is not correct. The correct answer should be -$1840

Step-by-step explanation:

Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.

A restaurant customer left ​$ as a tip. The tax was and the tip was ​% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answers

Complete question :

A restaurant customer left ​$0.90 as a tip. The tax was 8% and the tip was ​10% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answer:

The tax percentage

9.9

Step-by-step explanation:

Guven that :

Amount of tip left = 0.90

Tip left = 10% of after tax cost

Tax % = 8%

If tip left = 10% of after tax cost; then ;

If after tax cost = x

10% of x = 0.90

0.1x = 0.9

Hence the percentage tax isn't needed :

To obtain the total bill:

Let total bill = y

y = after tax cost and tip

Hence,

y = x + tip

y = x + 0.9

From : 0.1x = 0.9 ; x = 0.9/0.1 = 9

Hence,

Total bill:

y = 9 + 0.9

y = 9.9

Abby has to measure the weight of objects in pounds for her homework, but she only has a scale that measures ounces. If she finds an object weighs 48 ounces, how many pounds does it weigh?

Answers

Answer: 3 pounds

Step-by-step explanation: 1 pound=16 ounces

Now that you know what the conversion from ounces to pounds is, you just have to divide the number of ounces in the problem (48) by 16.

48÷16=3

plzzzz some one help I want step by step I'm confused What's 5⁄6 of £300

Answers

Answer: 15

Step-by-step explanation:


The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form

Answers

Answer:

All we need to do is solve for y.

[tex]y - 3 = 4(x + 2)\\\\y - 3 = 4x + 8\\\\y = 4x + 11[/tex]

The answer is A. y = 4x + 11.

The point (1,0) lies on the graph of
P(x) = x^4 - 2x^3 - x+2
A. True
B. False

Answers

Answer:

The given statement is true.

Step-by-step explanation:

Given function is:

[tex]P(x) = x^4 - 2x^3 - x+2[/tex]

And the given point is:

(1,0)

In an ordered pair, the first element is the input and second is the output. If we plug in the input to the function and get the respective output then the point lies on the graph of function.

For (1,0) we will put x = 1 in function and check whether we get 0 as output

[tex]P(x) = (1)^4 - 2(1)^3 - 1+2\\= 1-2(1)-1+2\\= 1-2-1+2\\=0[/tex]

Hence,

The given statement is true.

Answer:

A. True

Step-by-step explanation:

A basket contains six apples and five peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit.
The first piece of fruit is an apple and the second piece is a peach. What’s the probability?

Answers

Answer:

6/11 * 5/10

3/11 or 0.27 repeating

Step-by-step explanation:

Answer ASAP!! There is only a blank circle on the left

Answers

Answer:

i think its 1000

Step-by-step explanation:

I'm very confused, I don't know where to even start! Please help me!!

Answers

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find width of the rectangle, BD:

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Where,

[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]

Opposite = BD

Adjacent = 7 cm

Plug in the values

[tex] \sqrt{3} = \frac{BD}{7} [/tex]

Multiply both sides by 7

[tex] 7\sqrt{3} = BD [/tex]

[tex] BD = 7\sqrt{3} [/tex]

✔️Using trigonometric ratio, find height of the rectangle, BF:

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Where,

[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]

Opposite = 6 cm

Adjacent = BF

Plug in the values

[tex] \sqrt{3} = \frac{6}{BF} [/tex]

[tex] BF = \frac{6}{\sqrt{3}} [/tex]

Rationalize

[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]

[tex] BF = \frac{6\sqrt{3}}{3} [/tex]

[tex] BF = 2\sqrt{3} [/tex]

✔️Perimeter of rectangle BDEF:

Perimeter = 2(BD + BF)

Plug in the values

[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]

[tex] Perimeter = 2(9\sqrt{3}) [/tex]

[tex] Perimeter = 18\sqrt{3} [/tex]

✔️Area of the rectangle BDEF:

Area = BD × BF

Plug in the values

[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]

[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]

[tex] Area = 14 \times 3 [/tex]

[tex] Area = 42 [/tex]

How much interest will you pay on a loan of $2,620, with a 3% interest rate, paid over 5
years?

Answers

Answer:

You'll pay $3013

Step-by-step explanation:

Amount to pay=$2620+Interest accrued

A=$2620+($2620×0.03×5)

A=$2620+$393

A=$3013

Find the sum. (w+8) + 2(w +9)

Answers

First step: w+8+2w+9
Final answer: 3w + 17
The answer is 3w+17.

write at least four rational numbers between -2/5 and -1/3.​

Answers

Answer:

-47/120 -23/60 -3/8 -11/30

Step-by-step explanation:

fractions are always rational. give both numbers the same denominator and list any numbers between the two. (-2/5 is equal to -6/15) (-1/3 is equal to -5/15) make sure to simplify though

If the base number is 2/3 and the power is 5.
answer must be a fraction
please explain i need this ASAP!!
WILL GIVE BRAINIEST

Answers

Answer:

32/243

Step-by-step explanation:

do 2 to the 5th and put it above 3 to the 5th

32/243 that’s the answer

Whats the absolute value of 3 1/7

Answers

Answer:

3.142857  (3.14)

Step-by-step explanation:

help plss i will mark brainliest

Answers

Answer:

x = 8

Step-by-step explanation:

10 x 8 = 80 and the bottom would equal 80 as well so you would get 1 ^^

Answer:

x =25/2

10/8 = x/10

- Cross multiply

8x=100

- Divide both sides by 8

x=100/8

- Simplify

x=25/2

Hope This Helps!

need help with algebra

Answers

I believe it’s -7 hope it helps!!
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