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

a 40ft flag pole has a rope tied from the top to the ground. the rope makes a 25 degree angle with the ground, how long is the rope

Answers

Answer:

The rope is 94.65 feet.

Step-by-step explanation:

8. The table shows the linear relationship between the balance of a student's savings
account and the number of weeks he has been saving.
Savings Account
Week
1 3
8 13
Balance
53
88
(dollars)
123
0
6
32
39
74
Based on the table, what was the rate of change of the balance of the student's
savings account in dollars and cents per week?

Answers

Answer:

7 dollars

Step-by-step explanation:

i need help 5+(−4)+(−7)+2

can you guy help me for this questions

Answers

Answer:

-4

Step-by-step explanation:

first remove the parentheses

5-4-7+2

then calculate the sum or difference

-4

the answer to this problem is -4

Will mark as brainliest!!!!!!!!!!

Answers

Answer:

hi I just wanna talk ;)

Step-by-step explanation:

Which graph represents the equation y = 3/4 x - 3

Answers

Answer:

Step-by-step explanation: you forgot to attach the file but it should look like this i think

Answer:

slope is 3/4

y-intercept is (0,-3)  Thats where you put your first point on the y-inter on -3

x    y

0   -3

4     0

Put your second point at 4 (on the x)

then your slope is rise /run 3/4

then you should get your line on your graph

Step-by-step explanation:

Please show how u got your answer
The scale of a map is 1 inch = 25 miles. On the map, the distance between two cities is 5.25 inches. What is
the actual distance in miles?

Answers

Answer:

131.25 miles

Step-by-step explanation:

if 1 inch equals 25 miles then you need to times 25 by 5.25 and you will get 131.25 miles.

Is the relation a function? If it is a function, state the domain and range. If not, circle or
highlight the part that causes it to not be a function.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Writing this relation in set notation using curly braces:

{(1, 3), (2, 5), (3, -1), (4, 0), (5, 6)}

The relation clearly indicates that each input is related to exactly one output. In other words, there is no repetition of 'x' values.

Hence, this relation is a function.

We know that the domain is the set of all x values.

Thus, the domain is: {1, 2, 3, 4, 5}

We know that the domain is the set of all y values.

Thus, the range is: {-1, 0, 3, 5, 6}

can you simplify this?
[tex] \frac{a {}^{3} }{2} [/tex]

Answers

It stays the same, you can’t simply it.

6. Triangle CDE with vertices C(-2,-2), D(1,-4), and E(-3,-4):
a) dilation with scale factor of 4 centered (-1.-3)
b) reflection in the line y = -x

Answers

The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)

How to work with transformation of objects?

We are given the vertices of Triangle CDE as;

C(-2,-2), D(1,-4), and E(-3,-4).

Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.

However, we are told that it is centered about the point (-1.-3).

Thus;

Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.

Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)

Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)

Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)

B) Reflection in the line y = -x gives;

C'(2, -2), D(-1, 4), and E(3, 4)

Read more about Objects Transformation at; https://brainly.com/question/3457976

#SPJ1

What is the slope of the line that passes through the points (-10, 8) and (−15,−7)? Write your answer in simplest form.

Answers

Slope=m= (-7-8)/ (-15-(-10))= -15/-5= 3
Slope =m=minus 7 minus8 minus 15

y = x2+x-30
what are the factors

Answers

Answer:

2 and x are the factors of 2

Step-by-step explanation:

What is the value of V81
[tex] \sqrt{81} [/tex]

Answers

Answer: The value is 9

Finish the proof plz.

Answers

9514 1404 393

Explanation:

Here are the reasons:

GivenDefinition of a rectangleDefinition of a rectangleLL theorem for congruence of right trianglesCPCTC (corresponding parts of congruent triangles are congruent)

Which relation is a function?

Question 1 options:

{(3,2), (5,8), (3,−4)}

{(−1,6), (−2,7), (−3,6)}

{(5,7), (12,−3), (5,6), (12,7)}

{(3,5),(3,6)}

Answers

The second one.
Since the others all have 2 same domains with different ranges.
The second one because the x values are different.

A map of Long Island has the scale 2.75 cm= 16km. On the map, target Rock is 23.2 cm from Lake Montauk. Find the distance from Target Rock to Lake Montauk. PLEASE HELP ASAP

Answers

Answer:

ytjyhyjhuyjhytujhyuhjnfh

Step-by-step explanation:

Devin has 48 gingerbread cookies and 60 candy canes that he will put in gift bags for his friends and family. What is the greatest number of gift bags he can make if each bag will have the same number of cookies and the same number of candy canes? Also, identify the number of cookies and candy canes each bag will have.

Answers

Answer:

12 is the largest one number of gift bags he can make. Each will have 4 gingerbread cookies and 5 candy canes

Step-by-step explanation:

Use the graph below for this question: A 6 4 3 What is the average rate of change from x = -1 to x = -2? (1 point) 2 - 2 4 -1​

Answers

Answer:

- 2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 2, - 1 ] , then

f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )

f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus

average rate of change = [tex]\frac{5-7}{-1-(-2)}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

{(2,0), (4, -3), (6, 9), (-2,7), (4,9)}
What is the range?
um...? idk

Answers

Answer:

(8,9)

Step-by-step explanation:

The biggest number minus the smallest number.

The answer is (8,9) ok

2x^2+15x=8
factor or solve as indicated, show all work.
please and thank u!​

Answers

Answer:  x= -8  or x = 1/2

Step-by-step explanation:

2x^2 + 15x = 8      Subtract 8 from both sides to let the whole equation equal 0

            - 8     -8

2x^2 + 15x - 8 = 0      Now find two numbers that if you multiply them, their product will be -16 and their sum will be 15. An example is the numbers 16 and -1.     16 times -1 is -16  and 16 plus -1 is 15.

Rewrite the whole equation in this form,

2x^2 +16x - 1x - 8 = 0      Factor on the left side

2x ( x + 8)  -1 (x + 8) = 0     Now factor out x + 8

 

(x + 8) (2x -1) = 0            Set each expression equal zero, because for the whole expression to equation to 0, either one of them or all of them have to equation zero.

x + 8 = 0        or   2x - 1 = 0  

  -8     -8                     +1  +1

   x = - 8                  2x  = 1

                                 x = 1/2

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,-6) and (-9,6)

Answers

Answer:

13

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} } \\d=\sqrt{(-9--4)^{2} +(6--6)^{2} } \\d=\sqrt{25 +144}\\d=\sqrt{169}\\d=13[/tex]

$22 haircut; 20% tip
help..

Answers

Answer:

20% tip = $4.40; total = $26.4

Step-by-step explanation:

20 % = 0.20 ------> 22 * 0.20 = 20% of 22

20% of $22.00 = $4.40

total = $22.00 + $4.40

total = $26.40

Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
A. 8
B. 9
C. 10

Answers

Answer:

M=10

N=5

Q=2

Step-by-step explanation:

if you look at the equation it says

M+M+M=30

Since there's 3 M's you can combine it and make it into 3M=30.

you could then divide 30 by 3 in order to get M by itself and you would get M=10.

Hope this helped :)

Find the discriminant and state the number and type of solutions.
-3.02 - 6x + 5 = 8

Answers

1.98 -6x = 8
x = 1.00(3)

A circular clock has a circumference of 48.5 meters. What the measurement of the radius, in meters, of the clock?

Answers

Answer:

The radius of the clock is 7.72 meters

Step-by-step explanation:

Here, we want to calculate the radius of a clock which has a circumference of 48.5 m

Mathematically;

Circumference C = 2 * pi * r

48.5 = 2 * 22/7 * r

7 * 48.5 = 44r

r = (7 * 48.5)/44

r = 7.72 meters

i am beyond confused

Answers

It would be B because the angle of R is greater than the angle of S, and the angle of S is greater than the angle of T

Your answer would be B

help !! which one is it?

Answers

The third one is correct

6.Zena needs a salesperson. Sales person anyway is offering his services for an initial $50 in addition to $5 per hour. Sales person B is offering her services for $15 per hour. How many hours will two sales people charge the same amount of money?

Answers

Answer:

5 hours (when salespersons A and B will both charge $75)

how many times does 67 117

Answers

7839 i think that’s right
67 can only go into 117 once

80 L is what percent of 400 L tank

Answers

Answer:

50%

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

the percentage of 80L from 400L is 20%

Step-by-step explanation:

in order to find the percentage of something you need to divide the total amount from the number you want to find the percentage of:

80 / 400 = 0.2

we now multiply 0.2 by 100 to turn it into a percentage:

0.2 * 100 = 20%

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

Answers

Answer:2:5

Step-by-step explanation: you have 2 red marbles which is the numerator and 5 as the denominator because it is the bigger number .

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