You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint. How much blue paint and how much red paint do you use?

Answer:

(3, 2 )

Step-by-step explanation:

Given the endpoints are (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) [

Here (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (5, 4), thus

midpoint = [0.5(1 + 5), 0.5(0 + 4) ] = (0.5(6), 0.5(4)) = (3, 2 )

Answer:

(3,2)

Step-by-step explanation:

To find a midpoint of two given points, we can use the formula:

[tex](x_{m} ,y_{m} ) = (\frac{x_{1} +x_{2} }{2} , \frac { y_{1} +y_{2}}{2})[/tex]

(i.e. we just take the average of the x coordinates, and similarly, the average of the y coordinates).

so we get:

midpoint =  ( (1+5)/2, (0+4)/2 )

               =   (3, 2)

It repeats since it can't be simplified.

Answer:

216c^3

Step-by-step explanation

Answer:

a, it should be 10000

Step-by-step explanation:

400 x 500 is 200000 and the formula is

A=(b)(h)1/2 so half of 200000 is 100000.

Answer:

A

Step-by-step explanation:

Answer:

The number of wrapping paper sold was 32 and the number of magazines sold was 40

Step-by-step explanation:

Let

x ----> the number of wrapping paper sold

y ----> the number of magazines sold

we know that

The classes sold 72 items

so

[tex]x+y=72[/tex] ----> equation A

The classes earned $222 for their school

so

[tex]3.50x+2.75y=222[/tex] ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is (32,40)

see the attached figure

therefore

The number of wrapping paper sold was 32 and the number of magazines sold was 40

Answer: 3/8 can’t go to 3/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The lines are parallel, this means that they will never meet.

Answer: D no solution

Step-by-step explanation:

the first one is wrong because if they were both 0 than they would have to equal 0

the second one is wrong because no number works

the third one is wrong because it works on the second one but when you plug it into the first equation you get 95 = 35 which is incorrect.

D is the correct choice.

The cost of each pound of jelly beans is $ 2.25 and cost of each pound of almond is $ 1.25

Solution:

Let the cost of each pound of jelly beans is "a"

Let the cost of each pound of almond is "b"

For 6 pounds of jelly beans and 2  pounds of almonds, the total cost is $16

Therefore, we frame a equation as:

6 pounds of jelly beans x cost of each pound of jelly beans + 2  pounds of almonds x cost of each pound of almond = 16

[tex]6 \times a + 2 \times b = 16[/tex]

6a + 2b = 16 --------- eqn 1

For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $13

Therefore, we frame a equation as:

3 pounds of jelly beans x cost of each pound of jelly beans + 5 pounds of almonds x cost of each pound of almond = 13

[tex]3 \times a + 5 \times b = 13[/tex]

3a + 5b = 13 ----------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 2 with 2

6a + 10b = 26 --------- eqn 3

Subtract eqn 1 from eqn 3

6a + 10b = 26

6a + 2b = 16

( - ) -------------------------

8b = 10

[tex]b = \frac{10}{8} = 1.25[/tex]

Substitute b = 1.25 in eqn 1

6a + 2(1.25) = 16

6a + 2.5 = 16

6a = 13.5

Thus cost of each pound of jelly beans is $ 2.25 and cost of each pound of almond is $ 1.25

To simplify the monomials 6ab-8ab, subtract the coefficients of the like terms and combine the result with the common variables, resulting in -2ab.

The question asks how to simplify the monomials 6ab-8ab. This simplification process involves combining like terms. Both terms have the same variables (a and b), so they are like terms and can be combined by subtracting their coefficients.

Here are the steps to simplify:

Identify the coefficients of the like terms: 6 and -8.

Subtract the coefficients: 6 - 8 = -2.

Combine the result with the common variables: -2ab.

Therefore, the simplified form of 6ab-8ab is -2ab.

Answer:

Step-by-step explanation:

48 + 30 = 6(8 + 5)

Answer:78

Step-by-step explanation:

Equivalent expression is to carry out the addition process.

48 + 30 = 78

Answer:

ur answer ( I think so it will be correct)

Step-by-step explanation:

$6000 percent $600

= 6000/600

= 60÷6 percent

= 10 percent

I THINK ITS HELPFULL TK YOU

Answer:

Step-by-step explanation:

Let, the length of the first piece is x inch.

Hence, the length of the second piece is 2x.

It is given that, the length of the third piece is one inch more than four times of the first piece. Hence, the length of the third piece is 4x + 1 inch.

The total length of the steel is 22 inch.

Hence, x + 2x + 4x + 1 = 22

or, 7x = 21

or, x = 3.

The length of the second piece is [tex]2x = 2\times3 =[/tex] 6 inch.

The length of the third piece is [tex]4x + 1 = 12 + 1 =[/tex] 13 inch.

The lengths of the three pieces of steel are 3 inches, 6 inches, and 13 inches respectively.

Let's denote the length of the first piece as x. According to the problemm, the second piece is twice as long as the first piece, which could be represented as 2x. The third piece is said to be one inch more than four times the length of the first piece, which could be represented as 4x + 1. Since the total length of the steel is given as 22 inches, we write down this equation: x + 2x + 4x + 1 = 22.

Simplifying this equation, we get: 7x + 1 = 22. We then subtraact 1 from both sides to isolate the term with x on one side: 7x = 21. Finally, we solve for x by dividing both sides by 7: x = 3.

Therefore, the length of the first piece of steel is 3 inches. The length of the second piece is twice that, or 6 inches. The length of the third piece is four times the length of the first piece plus one inch, or 13 inches.

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Answer:

x=6/5

Step-by-step explanation:

y=6x-10

y=x-4

-----------

6x-10=x-4

6x-x-10=-4

5x-10=-4

5x=-4+10

5x=6

x=6/5

y=6/5-4=6/5-20/5=-14/5

Answer: A.   2(7 – 4x) = 4(5 – 2x) – 6

C.   4(x + 4) = 2(2x + 5) + 6

Step-by-step explanation:

Infinitely solution means when all numbers are solutions . Checking the equations given one by one

A. 2(7- 4x ) = 4(5 - 2x ) - 6

Expanding , we have

14 - 8x = 20 - 8x - 6

14 - 8x = 20 - 6 - 8x

14 - 8x = 14 - 8x , this is just a typical example of infinitely many solutions because any value of x chosen will satisfy the equation.

B. 6(x - 9 ) = 6x - 54 + x

Expanding , we have

6x - 54 = 6x + x - 54

6x - 54 = 7x - 54

collecting the like terms

6x - 7x = -54 + 54

- x = 0

x = 0

This equation has just one solution at x = 0 , because 0 is the only value of x that will satisfy the equation

C. 4( x + 4 ) = 2 ( 2x + 5 ) + 6

4x + 16 = 4x + 10 + 6

4x + 16 = 4x + 16

This equation also have infinitely many solutions

D. 5 ( x - 8 ) + 10 = 5 ( x + 2 )

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10

This equation has no solution.

Therefore , the equations with infinitely many solutions are equations A and C

Answer: 23

Step-by-step explanation: 18+5=23

23-5=18

R=23

The difference of r and 18 means subtraction: r - 18 = 5

To isolate r, you add 18:

r = 18 + 5 or 23

r = 23

Step-by-step explanation:

First you need to make a line perpendicular to y=2/3x+5. To do that you have to know that, if we use y=ax+b, a1*a2=-1. That is if a1 and a2 are perpendicular. So we get 2/3*a2=-1. -1/ 2/3=a2. a2=-1.5. We get y=-1.5x+b. Fill in (4,0) on y=-1.5x+b abd we get 0=-1.5(4)+b. b=6

Answer:

y = (-3/2)x - 6

Step-by-step explanation:

slope of the line y= 2/3x + 5

slope = 2/3

for two perpendicular lines

slope1*slope2 = -1

so, slope2 = (-1)*(3/2) = -3/2

hence for it to pass (4,0)

slope2=(y2 - y1)/(x2 - x1)

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

cross multiplying

-3x -12 = 2y

the equation of the line is

y = (-3/2)x - 6

Answer:

The length of the pool is 28 meters and the width of the pool is 10.5 meters.

Step-by-step explanation:

In the scale drawing of Joe, the community pool has (length : width) = 8 : 3

Let the actual length of the pool is 8x meters and the actual width is 3x meters.

Now, given that the actual pool has a perimeter of 77 meters.

So, 2(8x + 3x) = 77

⇒ 22x = 77

⇒ x = 3.5

So, the length of the pool is 8x = 8(3.5) = 28 meters and the width of the pool is 3x = 3(3.5) = 10.5 meters. (Answer)

Answer:

The length of the pool is 28 meters and the width of the pool is 10.5 meters.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

m is the slope

y=mx+b

y is equation

m is slope (movement)

b is base

In the equation y=-2x+7, the rate of change (slope) is -2, denoting that for every unit increase in x, y decreases by 2. The +7 represents the y-intercept, the value of y when x equals zero. This concept is fundamental in understanding linear equations, where the rate of change is constant.

In the equation y=-2x+7, the rate of change is represented by the coefficient of the x variable, which in this case is -2. This signifies that for each unit increase in x, the value of y decreases by 2. In the context of graphing, this slope (or rate of change) would mean for every step to the right (increase in x), you would take two steps down (decrease in y). For example, if x were to increase from 1 to 2, y would decrease from 5 (plugging x=1 into the equation gives y=5) to 3 (plugging x=2 into the equation gives y=3).

The rate of change is a crucial concept in algebra and lies at the heart of most mathematical models. It plays a vital role in calculus, physics, and engineering, amongst other disciplines. The second number in the equation, '+7', signifies the y-intercept, which is the value of y when x equals zero. This equation represents a straight line, as all linear equations do, and the rate of change (or the slope) is constant across this line.

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Answer:

[tex]f(x)=0.5\cdot (0.2)^x[/tex]

Step-by-step explanation:

Given the table

[tex]\begin{array}{cc}x&f(x)\\ \\-2&12.5\\ -1&2.5\\0&0.5\\1&0.1\\2&0.02\end{array}[/tex]

The exponential function can be written  [tex]f(x)=a\cdot b^x.[/tex] To find [tex]a[/tex] and [tex]b,[/tex] substitute some values:

When [tex]x=0,\ f(x)=0.5,[/tex] then

[tex]0.5=a\cdot b^0\Rightarrow a=0.5\ [ b^0=1][/tex]

When [tex]x=1,\ f(x)=0.1,[/tex] then

[tex]0.1=0.5\cdot b^1\Rightarrow 0.5b=0.1,\ b=0.2[/tex]

Thus,

[tex]f(x)=0.5\cdot (0.2)^x[/tex]

Check remaining values:

[tex]f(-2)=0.5\cdot 0.02^{-2}=0.5\cdot 5^2=0.5\cdot 25=12.5\\ \\f(-1)=0.5\cdot 0.2^{-1}=0.5\cdot 5=2.5\\ \\f(2)=0.5\cdot 0.2^2=0.5\cdot 0.04=0.02[/tex]

Answer:

Please find the grid of Sparrows and Cardinals below.

Step-by-step explanation:

Ratio 3:1 of Sparrows to Cardinals

There are at least 7, but less than 11 sparrows that eat at Mrs. Sims bird feeder

Let's build the grid for sparrows and cardinals, this way:

Sparrows = 7 - 8 - 9 - 10 - 11

Cardinals = 2 - 3 - 3 - 3 - 4

For calculating the number of cardinals we use the ratio 3:1 and round the number of cardinals to the next whole number.

Number of sparrows 7 to 11

Number of cardinals 2 to 4

Answer:

24 Guests

Step-by-step explanation:

3 x 8 = 24.

Answer:

since each guest is 1/8 of the cake and he has 3 cake . So the great number of the guest is 24....

Step-by-step explanation:

Should be 24 is the answer...

I hope this will help...Have a nice day...

Answer:

It is wrong because the answer should be way greater than the factors.

by the way the anwer is 6888

Step-by-step explanation:

Answer:

5/6 of a number cannot be greater than the number.

Step-by-step explanation:

Liz scored higher.

Step-by-step explanation:

Given,

Correct answers by Austin = 92%

Total questions = 50

Correctly answered by Liz = 47

Percent of Liz's correct answers = [tex]\frac{Correct\ answers}{Total\ questions}*100[/tex]

Percent of Liz's correct answers = [tex]\frac{47}{50}*100[/tex]

Percent of Liz's correct answers = [tex]\frac{4700}{50} = 94\%[/tex]

As 94% is higher than 92%, therefore;

Liz scored higher.

Keywords: percent, division

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To rewrite the equation in slope-intercept form and solve for y, we isolate y on one side of the equation by subtracting 3x from both sides. The resulting equation is y = -3x + 14.

To rewrite the equation in slope-intercept form and solve for y, we need to isolate y on one side of the equation.

Given the equation 3x + y = 14, we can start by subtracting 3x from both sides to get y alone.

The equation becomes y = -3x + 14, which is now in slope-intercept form (y = mx + b) where the slope (m) is -3 and the y-intercept (b) is 14.

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Answer:1/5

Explanation The answer is 1/5 because 05×0 is zero so 0+1/5 equals 1/5

Answer:

1/5

Step-by-step explanation:

The right answer is Option C.

Step-by-step explanation:

Given inequality is

[tex]\frac{n}{7}+3\geq -4[/tex]

We will first subtract three from both sides.

[tex]\frac{n}{7}+3-3\geq -4-3\\\frac{n}{7}\geq -7[/tex]

In the next step we will multiply both sides with 7 to determine n.

Therefore,

Subtract three, then multiply by 7.

The right answer is Option C.

Keywords: inequality, subtraction

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Answer:

Step-by-step explanation:

6x - y = 1

6x - 1 = y.....rearrange

y = 6x - 1......slope is 6. A parallel line will have the same slope.

y = mx + b

slope(m) = 6

(-5,-5)...x = -5 and y = -5

now we sub and find b, the y int

-5 = 6(-5) + b

-5 = -30 + b

-5 + 30 = b

25 = b

so ur equation is : y = 6x + 25 <==

Amount =$48003.20

Step-by-step explanation:

Here apply the compound interest formula;

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where;

P=Principal amount invested = $37500

r=rate of interest as a decimal, 2.5% =0.025

n=number of compounding per year=1

t=time period the amount in invested=10

In our case, the amount after investing will be;

[tex]A=37,500(1+0.025)^{10} \\\\A=37,500(1.025)^{10} \\\\A=48003.20[/tex]

Interest earned after the period= $48003.20-$37500 =$10503.20

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Compound Interest formula application: https://brainly.com/question/7014337

Keywords: inherit, sum, money, interest

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