Ms. Arlia is preparing a 80 milliliter vinegar solution to clean out the school’s Science sink. The mixture contains 60% vinegar, and the rest is filled with warm water. However, she quickly realizes that 90 milliliters is not enough, and the concentration of the mixture is too high. She adds water to her existing solution until the percentage of the new mixture is 15% vinegar. How many total milliliters of water did Ms. Arlia have in the mixture?

Answer:

Your answer is: x = 15/7

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

(1,2), (2,4) (2.5,5) (3,6) (4,8) (5,10) (6,12) (15,30)

Step-by-step explanation:

2.5/2.5 = 1

5/2.5 = 2

(1,2), (2,4) (2.5,5) (3,6) (4,8) (5,10) (6,12) (15,30)

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Answer:

615.44 mm²

Step-by-step explanation:

Before finding the area of the circle, first, let us find the radius of the circle.

Given that,

diameter ⇒ 28 mm

Therefore,

28 = 2r

Divide both sides by 2.

14mm = radius

And now, let us find the area.

The formula to find the area of the circle is :

Let us solve now.

Area = π r²

        = 3.14 × 14 × 14

        = 43.96 × 14

        = 615.44 mm²

Answer: y= 1/3x + 41

Answer:

[tex]_{\text{point-slope form}}[/tex]

[tex]\huge\boxed{y-5=\dfrac{1}{3}(x+12)}[/tex]

[tex]_{\text{slope-intercept form}}[/tex]

[tex]\huge\boxed{y=\dfrac{1}{3}x+9}[/tex]

[tex]_{\text{standard form}}[/tex]

[tex]\huge\boxed{x-3y=-27}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

where

[tex]m[/tex] - slope

[tex](x_1;\ y_1)[/tex] - a point on a line

We have

[tex]m=\dfrac{1}{3};\ (-12;\ 5)\to x_1=-12;\ y_1=5[/tex]

Substitute:

[tex]y-5=\dfrac{1}{3}(x-(-12))\\\\y-5=\dfrac{1}{3}(x+12)\\==================[/tex]

[tex]y-5=\dfrac{1}{3}(x+12)\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\\\\y-5=\dfrac{1}{3}x+4\qquad|\text{add 5 to both sides}\\\\y=\dfrac{1}{3}x+9\\=======================[/tex]

[tex]y=\dfrac{1}{3}x+9\qquad|\text{multiply both sides by 3}\\\\3y=x+27\qquad|\text{subtract}\ x\ \text{from both sides}\\\\-x+3y=27\qquad|\text{change the signs}\\\\x-3y=-27[/tex]

Answer:

70%

Step-by-step explanation:

[tex]42\div60[/tex]

Calculate

[tex]\frac{42}{60}[/tex]

Cross out the common factor

[tex]\frac{7}{10}[/tex]

Multiply a number to both the numerator and the denominator

[tex]\frac{7}{10}\times\frac{10}{10}[/tex]

Write as a single fraction

[tex]\frac{7\times10}{10\times10}[/tex]

Calculate the product or quotient

[tex]\frac{70}{10\times10}[/tex]

Calculate the product or quotient

[tex]\frac{70}{100}[/tex]

Rewrite a fraction with denominator equals 100 to a percentage

[tex]70[/tex]%

I hope this helps you

:)

Answer:

.99 cents. i think but for a pAck two dollars

Step-by-step explanation:

internet

Answer:

.99 cents. i think but for a pack two dollars

Step-by-step explanation:

Answer:

1 yard is 3 feet. There is 36 inches in a yard. There is 12 inches in a foot. Multiply 36 by 10 to get 360. There is 360 inches in 10 yards.

Step-by-step explanation:

Hope this helps! :)

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Answer:

The correct answer is D

Step-by-step explanation:

Cost of q quarts of Cranberry juice will be: $ 6.30q  and cost of 4 quarts of apple juice will be $ (3.60×4)= $ 14.40.  Total quarts of items would be q+4 , and he also wants to sell the juice at cost for $4.50 per quart.  That means that the total cost to sell the juices will be $4.50(q+4) . Also, Total cost= Cost of q quarts of cranberry juice+cost of 4 quarts of apple juice.

Answer:

3x+15+10

3x + 25

Step-by-step explanation:

Answer:

3x + 25

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

any number more than 5 works, even 5.01

Answer:

9x^5*y^2*pi

Step-by-step explanation:

a = pi * r^2

a = pi * 9x^5y^2

a = 9x^5y^2pi

Let me know if you have questions or need help

Answer:125x^6y^6 (Red)

Step-by-step explanation: To find the answer we need to do first 5^3 which is 125. Then according to exponent rule, we multiply the exponents inside by the exponent outside, so it would be x^6 and y^6.

It would be 125x^6y^6.

Hope this helps you!

The total percent discount offered by the merchant is 57.12%.

A discount is when the price of an items is reduced. It makes a good cheaper when a discount is applied.

The percent change in price after the first discount = 100% - 32% = 68%

The final price after the second discount = (100 - 16%) x 68%

= 57.12%

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

According to the graph, it is found that the percent of apartment residents who pay less than $700 per month is given by:

B. 75%

It states that:

Hence, for less than $700, we have that:

5% + 25% + 45% = 75%.

Thus option B is correct.

More can be learned about percentages at https://brainly.com/question/10491646

The expression for the area of the base is x² – 2x – 9. Therefore, the correct answer is (C) x² – 2x – 9.

To use synthetic division, we first need to set up the divisor in the correct form. Since we are looking for the expression for the area of the base of the rectangular prism, we know that the volume of the prism is given by:

volume = (area of base) × (height)

We are given that the height is x + 4, and the volume is x³ + 2x² – 17x – 36. Therefore, we can write:

x³ + 2x² – 17x – 36 = (area of base) × (x + 4)

Now we can use synthetic division to find the expression for the area of the base. The divisor is x + 4, so we write:

-4  | 1 2 -17 -36

    |   -4   8 36

    |-----------------

      1 -2 -9 0

The last number in the bottom row is 0, which means that x + 4 is a factor of the polynomial. The other numbers in the bottom row give us the coefficients of the quotient polynomial. Therefore, we can write:

x³ + 2x² – 17x – 36 = (x + 4)(x² – 2x – 9)

So the expression for the area of the base is x² – 2x – 9. Therefore, the correct answer is (C) x² – 2x – 9.

Learn more about synthetic division here:

https://brainly.com/question/28824872

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Answer:

3x - 4y + 8 = 0

Step-by-step explanation:

In figure,

When x = 0, y = 2

x = 4, y = 5

Two points on the line are (0, 2) & (4,5).

Slope = (5 - 2)/(4 - 0)= 3/4

Equation is:

=> y - 2 = (3/4)(x - 0)

=> y - 2 = 3x/4

=> 4y - 8 = 3x

=> 3x - 4y + 8 = 0

Answer:

30

19.5

16

Step-by-step explanation:

you need to find the rule, so divide 12 by 8 and see the factor is 1.5, so just multiply all the numbers by 1.5 to get the second column, and for the last one divide the number by the factor

Answer:

20 honey = 30 flour

13 honey = 19.5 flour

16 honey = 24 flour

Step-by-step explanation:

CROSS MULTIPLYING:

12x20=240, 240/8=30

13x12=156, 156/8= 19.5

8x24=192, 192/12=16

Answer:

i guess 3 rd option is correct. ........hope it helps u ♥♥♥♥

Answer:

A total of four people

Step-by-step explanation:

Answer:

4

Step-by-step explanation

divide 19.24 from 76.96.

and that gives you how many friends

Hey there!

A geometric sequence is where we use multiplication or division to get to the next term.

In this case, we use multiplication (we multiply every term by 3)

So we have

-1, -3, -9, -27, -81, -243...

Steps:

Hope everything is clear.

Let me know if you have any questions; if oyu do, kindly comment below my answer.

#LearningDoesn'tEnd

[tex]\rule{200}{2}[/tex]

Answer:

10:  112.5

12:  84

13:  T F T

14:  F T T

15:  T F T

Answer:

2:3 = 66%

Step-by-step explanation:

⇒ Convert the fraction 2/3 into decimal

⇒ 2/3 = 0.666

⇒ Multiply the decimal by 100: 0.66 × 100 = 66%

Therefore, the solution is 66%.

Answer:

y = 3x - 20

Step-by-step explanation:

First, we have to find the slope of the equation. We can do by taking the opposite reciprocal of the slope of the original line.

The opposite reciprocal of-1/3 is 3/1 or 3.

So, the slope of our equation will be 3. Our equation so far is:

y = 3x + b.

To find b, or the y-intercept of the line, we can simply substitute the given coordinates into the equation. If we replace x with 6 and y with -2 and solve the equation, we can find the value of b.

-2 = 3(6) + b

-2 = 18 + b

-2 - 18 = b

b = -20

So the equation is,

y = 3x -20.

To check our equation, we can again substitute the coordinates into the equation and solve. If both sides are equal, then the equation is correct.

-2 = 6(3) - 20

-2 = 18 - 20

-2 = -2

The two lines are perpendicular if a 90° angle is formed when they

intersect.

The equation of the line that passes through point Z(6, -2) and is perpendicular to the line [tex]y = -\dfrac{1}{3} \cdot x + 2[/tex] is ; y = 3·x - 20

Reason:

The equation of the required line is, y = 3·x - 20

The given point is Z(6, -2)

Perpendicular to the line, [tex]y = -\dfrac{1}{3} \cdot x + 2[/tex]

Solution:

The slope of a line perpendicular to another line having a slope, m, is [tex]-\dfrac{1}{m}[/tex]

The slope of the given line is [tex]-\dfrac{1}{3}[/tex]

The slope of the perpendicular line is therefore;

[tex]m = -\dfrac{1}{\left(-\dfrac{1}{3}\right)} = \dfrac{3}{1} = 3[/tex]

The point and slope form of the equation of the given line is therefore;

y - (-2) = 3·(x - 6)

y + 2 = 3·x - 3×6 = 3·x - 18

y = 3·x - 18 - 2 = 3·x - 20

y = 3·x - 20

The equation of the line that passes through point Z(6, -2) and is perpendicular to the line [tex]y = -\dfrac{1}{3} \cdot x + 2[/tex] is therefore;

y = 3·x - 20

Learn more here:

https://brainly.com/question/14105283

Answer:

Find the appropriate form for your objective function Then you will describe which solvers can handle complex then, you pass the extra Parameters finally, the function argument details.

Answer:

8

Step-by-step explanation:

if a = -b, then -a = b.

plug that into the (b = -c) problem, and you get -a = -c, or a = c

if a and c ar equal, then and b = -c, b also equals -a.

the problem then becomes a - b +c, where a = 8, c = 8, and b = -8

a = -b -> 8 = -(-8)

b = -c -> -8 = -(8)

a = c -> 8 = 8

Answer:

50 ounces

Step-by-step explanation:

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