An art student is mixing blue paint with yellow paint to create a special color. For every 6 gallons of blue paint, they need 4 gallons of yellow paint.

How much yellow paint will they need if they use 30 gallons of blue paint?

Answer:

The answer is option c

Step-by-step explanation:

Product means we have to multiply

[tex](3x - 4y) \times ( - 2x + 5y - 6) \\ 3x( - 2x + 5y - 6) - 4y( - 2x + 5y - 6) \\ - 6x {}^{2} + 15xy - 18x + 8xy - 20y { }^{2} + 24[/tex]

You then group like terms

[tex] - 6x {}^{2} + 15xy + 18xy - 20y {}^{2} + 24 \\ 6x {}^{2} + 23xy - 20y {}^{2} + 24[/tex]

And there's your answer

Answer:

D

Step-by-step explanation:

[tex]\sqrt{17} = 4.123[/tex]

So we can see that 4.123 lie between 4 and 5

Therefore, option (D) is correct

They are the same amount. neither is greater or lesser than the other.

============================================================

Explanation:

Use the slope formula to find the slope of the given line through those two points (-3, 4) and (5, 1)

m = (y2-y1)/(x2-x1)

m = (1 - 4)/(5 - (-3) )

m = (1-4)/(5+3)

m = -3/8

The line shown has a slope of -3/8

----------

We do two things from here:

That will have -3/8 turn into +8/3 or simply 8/3 which is the perpendicular slope. That's why the answer is choice A.

Multiplying the original slope -3/8 with the perpendicular slope 8/3 will lead to -1. This is true of any perpendicular pair of lines, as long as neither line is vertical.

Answer:

15

15

10

Step-by-step explanation:

3/8 x £40 = £15 for Sarah

3/8 x £40 = £15 for Fiona

2/8 x£40 = £10 for david

Answer:

Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15

Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15

David gets [tex]\frac{2}{8}[/tex] × 40 = £10

Step-by-step explanation:

If £40 is shared between three person in the ratio of 3:3:2 then calculate the amount each person gets.

To find the amount each person gets we are goin to change the ratios of each person into fractions.

To turn to fraction add all portions in the ratio:

3 + 3 + 2 = 8 (this will be the denominator for all proportions.)

Therefore Sarah gets [tex]\frac{3}{8}[/tex], Fiona gets [tex]\frac{3}{8}[/tex] and David gets [tex]\frac{2}{8}[/tex].

Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15

Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15

David gets [tex]\frac{2}{8}[/tex] × 40 = £10

(27-9) x 3 / 9 + 18 = 42

Follow order of operations: parentheses first:

18 x 3 / 9 + 18 = 42

Next is multiplication and division in order from left to right:

18 x 3 = 54

54/9 = 6

Now you have 6 + 18 = 24

24 does not equal 42 so Phillipa is not correct.

The answer is C. She is not correct. The correct answer is 24

Answer:

answer=she is not correct

Step-by-step explanation:

(27-9)*3÷9+18

18*3÷9+18

18*1/3+18

18/3+13

6+13

19

use BODMAS rule (Bracket Of Division Multiplication Addition And Subtraction)

Given:

A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).

To find:

The corresponding quadratic expression.

Solution:

If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.

A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.

The function is defined as:

[tex]P(x)=a(x-2)(x-6)[/tex]                    ...(i)

Where, a is a constant.

The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.

Substituting x=4 and P(x)=8 in (i).

[tex]8=a(4-2)(4-6)[/tex]

[tex]8=a(2)(-2)[/tex]

[tex]8=-4a[/tex]

Divide both sides by -4.

[tex]\dfrac{8}{-4}=a[/tex]

[tex]-2=a[/tex]

Putting [tex]a=-2[/tex] in (i), we get

[tex]P(x)=-2(x-2)(x-6)[/tex]

[tex]P(x)=-2(x^2-6x-2x+12)[/tex]

[tex]P(x)=-2(x^2-8x+12)[/tex]

[tex]P(x)=-2x^2+16x-24[/tex]

Therefore, the correct option is B.

Answer:

B. $1650

Step-by-step explanation:

the middle share = 3/(2+3+5) × $5500

= 3/10 × $5500 = $1650

Answer:

[tex]y=0.5x+2[/tex]

Step-by-step explanation:

Finding the inverse of a function is essentially finding the complete opposite of a given function. An easy trick can be used to find the inverse of a function. This trick is essentially thinking of the evaluator (f(x)) as another variable. Solve the function for (x) in terms of (f(x)); use inverse operations to do so. After completing this process, rewrite the function such that it is in the inverse function notation; switch the position of the (f(x)) and the (x), then indicate that it is an inverse function.

[tex]f(x)=2x-4[/tex]

Inverse operations,

[tex]f(x)=2x-4[/tex]

[tex]f(x)+4=2x[/tex]

[tex]\frac{f(x)+4}{2}=x[/tex]

Simplify,

[tex]0.5f(x)+2=x[/tex]

Rewrite in inverse function notation,

[tex]f^-^1(x)=0.5x+2[/tex]

[tex]y=0.5x+2[/tex]

Answer:

[tex]17 \le t \le 28[/tex]

Step-by-step explanation:

Given

[tex]t = 22\frac{1}{2}[/tex] --- average time

[tex]\triangle t = 5\frac{1}{2}[/tex] --- the variation

Required

The inequality to represent the scenario

To do this, we simply add and subtract the variation from the average time.

i.e.

[tex]t \± \triangle t[/tex]

So, the inequality is:

[tex]22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}[/tex]

Solve:

[tex]17 \le t \le 28[/tex]

Answer:

18 muffins

Step-by-step explanation:

Amount of flour Maggie used

Total amount of flour she bought - Amount of flour left over.

= 45oz - 14.72 oz

= 30.28 oz of flour

She used 17.5 oz to make a loaf of bread, and 0.71 oz for each muffin.

Hence,

Let the number of muffins = x

17.5 + 0.71x = 30.28

0.71x = 30.28 - 17.5

0.71x = 12.78

x = 12.78/0.71

x = 18 muffins

Therefore, Maggie made 18 muffins

Answer:

x = -2 ±√(13/2)

Step-by-step explanation:

Answer:

190

Step-by-step explanation:

1+2+3+4......19=210-20

=190

Answer:

15units

Step-by-step explanation:

BC is: 5x=5×3=15 units. so,Length of BC=15 units

Answer:

(fog)(x)=6x-3

Step-by-step explanation:

In this problem, we are looking to find f of g of x. Simply put, we just have to plug g(x) into f(x). Whereever there is an x in f(x), we will replace with g(x).

[tex](fog)(x)= 2(g(x))-7\\(fog)(x)=2(3x+2)-7\\(fog)(x)=6x+4-7\\(fog)(x)=6x-3[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

The lemonade costs 1.4.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a cookie.

y is the cost of a lemonade.

Total cost for cookie and lemonade is 1.80.

This means that [tex]x + y = 1.8[/tex].

As we want y, we have that [tex]x = 1.8 - y[/tex]

Lemonade costs 1.00 more than the cookie?

This means that:

[tex]y = x + 1[/tex]

So

[tex]y = 1.8 - y + 1[/tex]

[tex]2y = 2.8[/tex]

[tex]y = \frac{2.8}{2}[/tex]

[tex]y = 1.4[/tex]

The lemonade costs 1.4.

Answer:

2604

Step-by-step explanation:

Answer:

2600 as a estimate but it is 2604

Step-by-step explanation:

Step-by-step explanation:

Let running speed = x.

So, cycling speed = 2x.

Total distance traveled = 20 + 25 = 45km

Time taken running = 20/x

Time taken cycling = 25/2c

Total time taken = 5 hours

So, 5 = 20/x + 25/2x

Solving this equation for x gives:

10x = 65. Thus x = 6.5

Since cycling speed = 2x, cycling speed = (6.5)(2)

So cycling speed is 13 km/h.

Hope it helps.

Answer:

Nope, this is because the angles in a triangle add up to 180, whereas these values added are equal to 200 degrees

No, the angles with measures 80°, 55°, and 65° cannot form angles on a line.

In geometry, angles on a line are also known as "linear angles" or "straight angles." A straight angle measures 180°, and it is formed by two rays that point in opposite directions and share a common endpoint, creating a straight line. To determine if the given angles can form a straight angle, we need to add their measures.

Let's calculate the sum of the given angles:

Sum = 80° + 55° + 65°

       = 200°

Since the sum of the given angles (200°) is not equal to 180°, it means that the angles cannot form a straight line. Instead, they form a shape that is not a straight angle, such as a triangle or a polygon.

In this case, the given angles form a triangle since they satisfy the triangle inequality theorem. The sum of any two sides of a triangle is always greater than the third side. Mathematically, for a triangle with sides of lengths a, b, and c, the inequality holds: a + b > c, b + c > a, and c + a > b.

Therefore, the angles with measures 80°, 55°, and 65° cannot form angles on a line but rather form a triangle with a sum of 180°, satisfying the triangle inequality.

To know more about Linear Angles here

https://brainly.com/question/13045673

#SPJ2

Answer:

i think A

Step-by-step explanation:

sorry if im wrong

Answer:

I'm probably just really bad at math and got this wrong, but I think the answer is 40 cm. Sorry if this doesn't help, like I said I think I'm just bad at math, which it doesn't really make sense as to why I'm answering a math problem, but anyways there's the (probably wrong) answer.

I really hope that helped :P

Answer:

56.3 =c

44.1 =a

Step-by-step explanation:

Using the law of sines

sin 102        sin 28

----------  = ----------

c                 27

Using cross products

27 sin 102 = c sin 28

Divide by sin 28

27 sin 102

------------   = c

sin 28

56.25470702= c

Rounding to the nearest tenth

56.3 =c

To find a

We need Angle A

A = 180 - 102 -28

A = 50

sin 50        sin 28

----------  = ----------

a                 27

Using cross products

27 sin 50 = a sin 28

27 sin 50

------------   = a

sin 28

44.0563425= a

Rounding to the nearest tenth

44.1 =a

Answer:

S = 62.5%

Step-by-step explanation:

Given the following data;

Ratio of J:S = 3:5 = 3 + 5 = 8

To find what percent of team members are seniors;

[tex] S = \frac {5}{8} * 100 [/tex]

[tex] S = \frac {500}{8} [/tex]

S = 62.5%

Additionally, to find what percent of team members are juniors;

J = 100 - S

J = 100 - 62.5

J = 37.5%

Answer:

The mean absolute deviation is: 7.44

Step-by-step explanation:

Given

[tex]Scores: 98, 78, 84, 75, 91[/tex]

Required

The mean absolute deviation

First, calculate the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{98+78+84+75+91}{5}[/tex]

[tex]\bar x = \frac{426}{5}[/tex]

[tex]\bar x = 85.2[/tex]

The mean absolute deviation (M) is:

[tex]M = \frac{1}{n}\sum|x - \bar x|[/tex]

So, we have:

[tex]M = \frac{1}{5}(|98 - 85.2|+|78 - 85.2|+|84 - 85.2|+|75 - 85.2|+|91 - 85.2|)[/tex]

[tex]M = \frac{1}{5}(|12.8|+|-7.2|+|-1.2|+|-10.2|+|5.8|)[/tex]

Remove absolute brackets

[tex]M = \frac{1}{5}(12.8+7.2+1.2+10.2+5.8)[/tex]

[tex]M = \frac{1}{5}*37.2[/tex]

[tex]M = 7.44[/tex]

What is x equivalent to?

Answer: D

Step-by-step explanation:

I’m like 90% sure it’s D ‍♀️

Answer:

D

Step-by-step explanation:

Domain is how far the graph goes left to right.

The left arrow goes left into -infinity forever

The right arrow goes down and to the right forever, into infinity

Answer:

150 degrees

Step-by-step explanation:

8x-10=3x+90

solve for x in calculater

x = 20

Substitute:

3(20)+90 = 150

Answer:

Step-by-step explanation:

8x - 10 = 3x + 90

5x - 10 = 90

5x = 100

x = 20

8(20) - 10 = 160 - 10 = 150