Nathan mixes green paint and yellow paint in the ratio 3:5.
He makes 16 litres of paint.
How much more yellow paint does he need to add to the mixture so that
the ratio of green paint to yellow paint becomes 1:6?

Answers

Answer 1

26 liters of yellow paint need to be added for the ratio of green paint to yellow paint to be 1:6.

Equation

An equation is an expression that shows the relationship between two or more variables and numbers.

From the question:

Amount of green paint = (3/8) * 16 = 6 liters

For the ratio of green paint to yellow paint to be 1:6, let y represent the number of yellow paint to be added.

6 = (1/7) * (16 + y)

16 + y = 42

y = 26

26 liters of yellow paint need to be added for the ratio of green paint to yellow paint to be 1:6.

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Related Questions

HELP Given f(x) = 4x2 – 3x – 6, what is the value of f(-1)?
A. -7
B. 2
C. -5
D. 1​

Answers

Answer:

D) 1

Step-by-step explanation:

Given f(x) = 4x² - 3x - 6

f(-1)=4(-1)² -3 (-1) -6

f(-1)= 4+3-6

f(-1)= 1

Hope it helps! :)

help me help me can u help me

Answers

When finding the missing number to 121 + ? = 968, all you have to do is subtract 121 from 968 to get your answer.

968
-121
———
847

121+847=968

i need to understand ratio plz help

Answers

If your looking for basically the definition of ratio it means, lets say we have 2 can of milks, and 3 cans of cookies, if it asks find the ratio of milks first then cans it is 2:3, or if it asks find the ratio of cans of milk to cookies, which is 3:2 or part to whole which means 3+2 or 2+3= 5 is whole and if they say part would be milk then 2:5 or if its cans of cookies to whole its, 3:5. I hope this helps ask me anything that you didn’t understand!

Grandma baked 1.5 times as many pancakes as waffles. After she baked 45 more waffles, and her grandchildren ate 12 pancakes, there were 17 more waffles than pancakes. How many waffles were there initially?

PLS HELP YOU WILL GET BRAINLY!!!

Answers

Step-by-step explanation:

let x represent the no of pancakes,

she baked 1.5 times pancakes more than waffles,

so from this, no of pancakes = 1.5x,

then she baked more 45 waffles,

no of waffles = (x +45)

so you had 1.5x pancakes and the children ate 12 out of them. the no of pancakes has then been reduced by 12.

thus, no of pancakes = ( 1.5x -12 )

now they see that they have 17 more waffles that pancakes left. this means that :

no of waffles - no of pancakes = 17

(x+45) - (1.5x - 12) = 17

x - 1.5x + 45 + 12 = 17

x = -50 / -0.5

x = 100

hence, there were 100 waffles initially.

hope you understand this,

-s.

Any Suggestions on what to do here? I already restarted my PC twice, cleared my browsing data, and rebooted the wifi network....



Oh yea and whats 5 to the square root of 625

Answers

Answer:

Use a factor tree. For example, 625 = 5 x 125 = 5 x 5 x 25 = 5 x 5 x 5 x 5. Because there are 4 fives, and we are looking for the square root, (5 x 5) (5 x 5) = 625. Therefore the square root of 625 is 25.

The following table shows the length and width of a rectangle: Length Width Rectangle A 3x 5 2x − 3 Which expression is the result of the perimeter of rectangle A and demonstrates the closure property? 10x 4; the answer is a polynomial 2x 4; the answer is a polynomial 10x 4; the answer may or may not be a polynomial 2x 4; the answer may or may not be a polynomial.

Answers

Expression giving the result of the perimeter of rectangle A and demonstrating  the closure property is given by: Option A: [tex]10x + 4[/tex] ; the answer is a polynomial

What is the closure property of a polynomial for addition operation?

Closure property keeps the result in the same set.

If two polynomials [tex]f(x)[/tex] and [tex]g(x)[/tex] are there.

Then, [tex]f(x) + g(x) = h(x)[/tex]

where [tex]h(x)[/tex] is also a polynomial.

The result of the addition of two polynomials is also a polynomial. This property of polynomial for addition operation is called closure property of a polynomial for addition operation

For the given case, we have:

Length of the rectangle = [tex]3x + 5[/tex]Width of the rectangle = [tex]2x -3[/tex]

Perimeter of a rectangle with width W and length L = 2(L + W)

And using that formula, the perimeter of the considered rectangle is evaluated as:

[tex]P = 2(3x + 5 + 2x - 3)\\P = 2((3+2)x + 2) = 2(5x + 2)\\\\P = 10x + 4[/tex]

Thus, expression giving the result of the perimeter of rectangle A and demonstrating  the closure property is given by: Option A: [tex]10x + 4[/tex] ; the answer is a polynomial

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a 65 foot ladder is leaning against a wall. Its lower end is 25 feet away from the wall. How much farther away will it be if upper end is moved down 8 feet?

Answers

Answer:

14

Step-by-step explanation:

65^2=25^2 + h^2 =52

Then, 65^2 =(25 + x) ^2 +52^2=>x=14

10+s=-4 help yall asap this is mad hard

Answers

ANSWER = s = -14

Proof -14+10=s

Find the measure of x and y

Answers

Answer:  maybe about 45 or 75 i dont know

Step-by-step explanation:

Find the value of x.

Answers

Answer:

  x = 53

Step-by-step explanation:

The sum of the exterior angles of a convex polygon is always 360°.

  x +x +59 +48 +50 +39 +58 = 360

  2x +254 = 360 . . . . simplify

  x +127 = 180 . . . . . . divide by 2

  x = 53 . . . . . . . . . . . subtract 127

6) the cost of a video game is $22.00
Sales tax is 6%
How much will the game cost, including tax

Answers

Answer:

$23.32

Step-by-step explanation:

5
How can you classify quadrilaterals? Explain using properties of sides and angles.
(Be sure to write at least 5 complete sentences)

Answers

Answer:

A quadrilateral is a polygon with four sides. A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. A rhombus is a parallelogram with four congruent sides. A trapezoid is a quadrilateral with exactly one pair of parallel sides. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides. And A scalene quadrilateral is a four-sided polygon that has no congruent sides. Three examples are shown below.

Step-by-step explanation:

I hope this helps, I also couldn't find a answer :D

Tatiana reads 40 pages of her book every night for x number of nights. write and expression that repressents the number of pages eh read

Answers

Answer: 40x

Step-by-step explanation:

Titiana read 40 pages of her book every night for x number of nights, which means she read 40 pages every day. So 40 times x is how many pages she read in all.

x=y-4, 2x-y=5. Please help me

Answers

By putting x = y-4 in the equation 2x-y = 5, we get;

=) 2(y-4) -y = 5

=) 2y - 8 - y = 5

=) 2y - y = 5 + 8

=) y = 13

Now, we got the value y = 13, so by putting it in the equation x = y-4, we get;

=) x = 13 - 4

=) x = 9

Therefore, x = 9 and y = 13

Answer:

the answer is (x,y) = (9,13)

Step-by-step explanation

Which figure represents an undefined term?

Answers

Answer:

I think the answer is D

Step-by-step explanation:

The last figure is representing an undefined term "line".

What is Ray?

A ray is a segment of a line where one point is fixed and the other has no defined end. It denotes that a ray has one terminating end and an indefinitely long other end.

The first illustration depicts a ray with an end point at X, which is a phrase that is described as "a ray is a line with one end point."

The second graphic depicts a line segment with endpoints at X and Y. This phrase is described as "A line segment is a line with 2 end points."

The joint of two rays in the third illustration creates an angle, which is once again a defined phrase.

The final illustration depicts a line that is not defined and has no endpoints.

Learn more about Ray here:

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#SPJ5

Order the numbers from least to greatest.
53.77
54
53.61
53.6

Answers

Answer:

53.6, 53.61, 53.77, 54

Step-by-step explanation:

That's the right order

I need help on this other question sry if it is hard... here is the pic.

Answers

Answer:

142%

Step-by-step explanation:

i may  be wrong but hopefully im not!!

Answer:

142%

Step-by-step explanation:

To change a fraction to a percentage, multiply it by 100%

1 [tex]\frac{21}{50}[/tex] ( change to an improper fraction )

= [tex]\frac{71}{50}[/tex] × 100% = 71 × 2 = 142%

what is this x + y = 7 and x − y = −3

Answers

Answer:

x = 2, y = 5

Step-by-step explanation:

Answer:

math equation

Step-by-step explanation:

HURRY PLS

Part 1:

Prove that the two triangles above are similar. Provide a proof using any method (two-column, flow-chart, or paragraph). For whichever method you choose, include the statements that lead you to the necessary conclusion, as well as corresponding reasons for each statement.

Part 2:

Find the measures of AC and AB all necessary calculations.

Answers

The condition of two congruent angles in each triangle, can be used to

show that the two triangles are similar.

Response:

Part 1: The two triangles are similar by AA similarity postulatePart 2: AC = 22.5 inches, AB = 30 inches

Which condition of similarity makes the two triangles similar?

Part 1:

A two column proof is presented as follows;

Statement [tex]{}[/tex]                                    Reason

1. ∠D ≅ ∠A [tex]{}[/tex]                                   1. Given

2. ∠DCE ≅ ∠ACB [tex]{}[/tex]                        2. Vertical angle theorem

3. ΔCDE ~ ΔCAB [tex]{}[/tex]                         3. AA similarity postulate

Angle-Angle, AA, similarity postulate states that if two angles in one

triangle are congruent to two angles in a second triangles, then the two

triangles are similar.

Part 2:

From part 1, we have;

ΔCDE is similar to ΔCAB (ΔCDE ~ ΔCAB)

The ratio of corresponding sides of similar triangles are equal, which

gives;

[tex]\dfrac{\overline{CD}}{\overline{AC}} = \mathbf{\dfrac{\overline{CE}}{\overline{CB}}}[/tex]

Which gives;

[tex]\dfrac{12}{\overline{AC}} = \mathbf{\dfrac{8}{15}}[/tex]

[tex]\overline{AC}} = \dfrac{15}{8} \times 12 = \mathbf{22.5}[/tex]

AC = 22.5 inches

Similarly, we have;

[tex]\dfrac{\overline{DE}}{\overline{AB}} = \mathbf{\dfrac{\overline{CE}}{\overline{CB}}}[/tex]

Which gives;

[tex]\dfrac{16}{\overline{AB}} = \dfrac{8}{15}[/tex]

[tex]{\overline{AB}} = \dfrac{15}{8} \times 16 = \mathbf{30}[/tex]

AB - 30 inches

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angle A and angle B are supplementary angles. Find m angle A and m angle B.
m angle A=(x+11) m angle B=(x-15)

Answers

X+11+X-15=180
2X=176
X=88

angle A 88+11=99
Angle B 88-15= 73
Supplementary=180
(X+11)+(x-5)=180
X+11+x-15=180
x+x+11=165
2x=165-11
2x=154
— —
2 2
X=77//


Anna is designing the plan of a kitchen using some computer aided design software. the coordinates of the corners of the room on screen are (0,10) (220,10) (0,260) (220,260). she needs to enter the coordinates of the ceiling light, which will be the exactly in the center of the room. what will the coordinates of the light be?


PLEASE HELP ME IF YOU CAN AS SOON AS POSSIBLE. THANK YOU ​

Answers

(220,10)

Step-by-step explanation:

This reminds me of when I was in middle school

Answer:

(110, 135)

Step-by-step explanation:

From the coordinates given, the shape of the ceiling is a rectangle.

Width = difference in x-coordinates = 220 - 0 = 220

Length = difference in y-coordinates = 260 - 10 = 250

To find the center of the ceiling, we need to find the centroid (center-point) of the rectangle.

x-coordinate = Half of the width + smallest x-coordinate= (220 ÷ 2) + 0 = 110

y-coordinate = Half of the length + smallest y-coordinate = (250 ÷ 2) + 10 = 135

Therefore, the center of the ceiling is at (110, 135)

Choose the correct range for each set of values. Set 1: 48, 47, 34, 37, 11, 39 Range = Set 2: 42, 47, 44, 40, 41, 49, 48, 45, 43 Range = Set 3: 85, 98, 31, 96, 49, 77, 82 Range = Set 4: 112, 114, 116, 175, 115, 134, 117 Range =.

Answers

Range is one of the important description of a data set. The range of the given data sets is given as:

Range of set 1 is 37Range of set 2 is 9Range of set 3 is 65Range of set 4 is 63

How to find the range of a set of data values?

Range = Maximum value of the data set - Minimum value of the data set.

For the given sets, we get their range as:

Set 1: 48, 47, 34, 37, 11, 39

Maximum value = 48, minimum value = 11

Range of the data set = Maximum value - minimum value = 48-11 = 37

Set 2: 42, 47, 44, 40, 41, 49, 48, 45, 43

Maximum value = 49, minimum value = 40

Range of the data set = Maximum value - minimum value = 49 - 40 = 9

Set 3: 85, 98, 31, 96, 49, 77, 82

Maximum value = 96, minimum value = 31

Range of the data set = Maximum value - minimum value = 96-31=65

Set 4:  112, 114, 116, 175, 115, 134, 117

Maximum value = 175, minimum value = 112

Range of the data set = Maximum value - minimum value = 175-112 = 63

Thus, the range of the given data sets is given as:

Range of set 1 is 37Range of set 2 is 9Range of set 3 is 65Range of set 4 is 63

Learn more about range here:

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I need help with this question really quick!!!​

Answers

Answer:

Np buddy its B. Hope u get a good grade

Choose the expression that represents a quadratic expression. 6x4 − 5x3 3x2 −7x − 8 5x3 3x2 −7x − 8 2x2 3x − 1 3x − 1.

Answers

Answer:

2x^2+3x-13x-1

Step-by-step explanation:

Quadratic expressions are polynomial expressions in which the highest power of the variable is 2.

Looking at option A, the highest power of the variable in the polynomial is 4. Therefore, it is not a quadratic expression.

Looking at option B, the highest power of the variable in the polynomial is 3. Therefore, it is not a quadratic expression.

Looking at option C, the highest power of the variable in the polynomial is 2. Therefore, it is a quadratic expression.

Looking at option D, the highest power of the variable in the polynomial is 1. Therefore, it is not a quadratic expression.

Answer:

c

Step-by-step explanation:

its c bc i got it right on test

Please help! 15 Points.

1. Write the general term and pattern rule for the following pattern:
9, 6, 3, 0, -3

Then: Find the 15th, 25th, and 100th term values.


2. Write the general term and pattern rule for the following patterns: -7, -17, -27, -37, -47

Then: Find the 15th, 25th, and 100th term values.

Answers

Sera up with you and I will tell you when I’m ok with you and I will give it back when I’m on my way back from my house and then I’ll go

Question within image.

Answers

1)a parallelogram is a quadrilateral with opposite sides being parallel so the lines AB must equal CD or otherwise it wouldn't be a parallelogram

2)for a quadrilateral to be proven to be a parallelogram the consecutive angles has to be supplementary which means they add up to 180 or for example you could slice the parallelogram in half down the middle you could piece the two consecutive angles together to make 180 degrees

Find the slope of the line that passes through (2,-55) and (1,-22)

Answers

Answer:

y = -33x + 11.

Step-by-step explanation:

Please help me with this! Thank you! Click on the photo for better view!

Answers

Answer:

In order: -5, 3, 5

Step-by-step explanation:

-5g + 15h - 25

-5 ( g - 3h + 5 )

Hopefully this helps!

Brainliest please?

How many degrees are there in the angle between the hour and minute hands of a clock is a quarter past two

Answers

The number of degrees there are in the angle between the hour and the minute hands of the described clock is; 30°

Angle measure on a wall clock

The conventional analogue wall clock is numbered 1 to 12.

On this note, there are 12 unit subdivisions on the clock.

Each unit subdivision covers angle measure;

360°/12 = 30°

Since, at quarter past two; the hour arm of the clock is on 2 and the minute arm is on 3;

It follows that the degree measure of the angle subtended is; 30°.

Read more on degree measure;

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-All of the following are phases (states) of matter EXCEPT:

Answers

Answer:

The states of matter are solid, liquid, gas, and plasma

Step-by-step explanation:

you didn't have any options so I'm just telling you them

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