2) Caculate the unit rate. Paying $28 for 8 pounds of pears. What is the cost per pound of pears?

Answer:

x = [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1-x}{1+x}[/tex] = [tex]\frac{2x+1}{-2x+5}[/tex] ( cross- multiply )

(2x + 1)(1 + x) = (1 - x)(- 2x + 5) ← expand parenthesis on both sides using FOIL

2x + 2x² + 1 + x = - 2x + 5 + 2x² - 5x , simplify

2x² + 3x + 1 = 2x² - 7x + 5 ( subtract 2x² from both sides )

3x + 1 = - 7x + 5 ( add 7x to both sides )

10x + 1 = 5 ( subtract 1 from both sides )

10x = 4 ( divide both sides by 10 )

x = [tex]\frac{4}{10}[/tex] = [tex]\frac{2}{5}[/tex]

Answer:

 x = 2/5

Step-by-step explanation:

[tex]\frac{1-x}{1+x}=\frac{2x+1}{-2x+5}[/tex]

Cross multiply,

(1 - x)(-2x + 5) = (2x +1)(1 + x)

Use FOIL method to multiply,

1*(-2x) + 1*5  - 2x *(-x) + 5*(-x) =2x *1  + 2x *x  + 1*1 + 1*x

             -2x + 5  + 2x² -5x    = 2x + 2x² + 1 + x

Combine like terms,

              -2x - 5x + 2x² + 5 = 2x² + 2x +x  + 1

                      -7x + 2x² + 5 = 2x² + 3x + 1

           -7x + 2x²  - 2x² - 3x  = 1 -  5

                             -7x - 3x    = - 4

                                       -10x = -4

                                          x = -4/-10

                                          x = 2/5

Answer:

-6

Step-by-step explanation:

y=-1/3(12)-2

=(-1/3x12/1)-2

=-4-2

y=-6

Answer:

(21.9, 66.3)

Step-by-step explanation:

Given the coordinates A (25.5, 60.1) and C (18.3, 72.5)

The formula for calculating the midpoint is expressed as;

M = {(x1+y1)/2, (y2+y1)/2}

X = (x1+y1)/2

Y = (y2+y1)/2

From the given coordinates A (25.5, 60.1) and C (18.3, 72.5)

x1 = 25.5, y1= 60.1, x2 = 18.3 and y2 = 72.5

X = (25.5+18.3)/2

X = 43.8/2

X = 21.9

Y = (72.5+60.1)/2

Y = 132.6/2

Y = 66.3

The midpoint of the coordinates M will be M(21.9, 66.3)

Answer:

A=2

B=1

C=4

D=5

E=3

130 degrees

138 degrees

angle 2 is not alternate exterior to any angle

angle 6

Step-by-step explanation:

sorry about that I don't know what I was thinking

Answer:

The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)

Step-by-step explanation:

The given coordinates of the triangle JKL are;

J(3, 0), K(4, 3), L(6, 0)

The rotation of the point of a preimage (x, y) by 90° clockwise gives the point of the image after rotation as (y, -x)

Therefore;

The rotation of point J(3, 0) by 90° clockwise gives J'(0, -3)

The rotation of point K(4, 3) by 90° clockwise gives K'(3, -4)

The rotation of point L(6, 0) by 90° clockwise gives J'(6, 0)

The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)

Answer:

6 eggs

Step-by-step explanation:

15=5*3

so times the eggs by 3

2*3=6

Answer:

26.25 inches

Step-by-step explanation:

2/.25

=8

210/8

=26.25

Answer:

halabyouuuuuu

yiieeeeeee

Answer:

I am not 100% sure but I think it is

Question 9:

A. (-2, -2)

B. (1, 0)

C. (3, -7)

Question 10:

A. (-1, -3)

B. (-4, -5)

C. (-6, 2)

Answer:

690,000

Step-by-step explanation:

The 8 is the ten thousands place- 685,135

If the number after the 8, (in this case 5) is 0-4, round to 8. If the number after the 8 is 5-9, round up to 9.

Answer:

James Monroe (/mənˈroʊ/; April 28, 1758 – July 4, 1831) was an American statesman, lawyer, diplomat and Founding Father who served as the fifth president of the United States from 1817 to 1825. ... He is perhaps best known for issuing the Monroe Doctrine, a policy of opposing European colonialism in the Americas.

Step-by-step explanation:

Answer:

James Monroe was the 5th president of the United States. He was born April 28, 1758 in Westmoreland County, Virginia. He was chosen as a Virginia representative to the Congress of the Confederation in 1782. In 1808, he ran for president against Madison, but lost. He ran for president in 1816 as a Democratic-Republican and won. He was sworn into office on March 4, 1817. In 1825, Monroe left office and retired in Virginia. He died on July 4, 1831

You didn't give an original equation, just the two points so I'm just going to go ahead and assume that b = 0, but in reality, it doesn't really matter what it equals I think.

Slope intercept form:

First, we find the slope, so we do y1-y2/x1-x2 which is 3. So then we do y=mx+b so 4=3(2)+b. Then we do 4=6+b. So, b = -2.

So the equation is y=3x-2

Find the slope which we already know. Plug into y-y1=m(x-x1).

y-4=3(x-2)

y-4=3x+6

Answer:

(b) a perfect cube

Explination:

It is a perfect cube of 5

Answer:

Step-by-step explanation:

12(n/12 = 8 + n)

n = 96 + 12n

-11n = 96

n = -96/11

Answer:

-96/11 or -8 8/11

Step-by-step explanation:

For this, create an equation, x/12=x+8.

Any number without a denominator has a denominator of 1, so x/12=(x+8)/1.

Now, cross multiply to get 1*x=12(x+8).

Simplify that to x=12x+96.

Subtract 12x from both sides, and you have -11x=96.

Divide by -11, and x=-96/11.

Answer:

trick question

Step-by-step explanation:

The equation cannot be answered since if you add like terms you have 3 x on each side but different total values

The answeris : y=35x+75

5

1/4n + 3

plug 8 in for n so 1/4(8) + 3

1/4 × 8 = 2

2 + 3 =5

Answer:

negative 70 (-70)

Step-by-step explanation:

below sea level, so below zero, would be -70

Answer:

-70

Step-by-step explanation:

Its below it would be in the negatives

Answer:

The answer is B: 65.

Angle 8 + angle 7 = right angle + 37 degree

, 62 degree + angle 7 = 127 degree

, angle 7 = 127 degree - 62 degree

, = 65 degree

Answer:  1407.5 hours

Step-by-step explanation:

 Okay so looking at the problem, the conversion factors we are going to need are from days to hours and from minutes to hours. Let's start with the days to hours first. If there are 24 hours in a day and we have 58 days then 24x58 would get us the hours that we need. So we would get 1392 hours. Add that to the hours already present and you get 1407 hours and 30 minutes. Since 30 minutes is half of one hour you can either use a fraction or decimal to give your answer: 1407.5 hours or  hours

Answer:

a) Angle XBC = 55⁰ because its correspond to Angle AXY which is equal to 55⁰ and corresponding angles are equal.

b)Angle BXC = 70⁰

Step-by-step explanation:

b) Since XB = XC, triangle BXC is therefore an isosceles triangle.

Angle XBC = Angle XCB

Sum of interior angles of a triangle = 180⁰

55⁰ + 55⁰ + Angle BXC = 180⁰

110⁰ + Angle BXC = 180⁰

Angle BXC = 180⁰- 110⁰

= 70⁰

Answer:

D: 7/15

Step-by-step explanation:

you find the common factor of the denominators so now you have 10/15 - 3/15. then you subtract the numerators to get 7/15.

hope this helps :))

Answer:

[tex]\frac{7}{15}[/tex]

Step-by-step explanation:

=> [tex]\frac{2}{3}-\frac{1}{5}[/tex]

=> [tex]\frac{2\times{5}}{3\times{5}}-\frac{1\times{3}}{5\times{3}}[/tex]

=> [tex]\frac{10}{15}-\frac{3}{15}[/tex]

=> [tex]\frac{10-3}{15}[/tex]

=> [tex]\bold{\frac{7}{15}}[/tex]

Answer:

Ydia's address is: 62943

Explanation

Represent the digit as ABCDE such that:

[tex]A = Ones[/tex]

[tex]B = Tens[/tex]

[tex]C = Hundred[/tex]

[tex]D = Thousand[/tex]

[tex]E = Ten\ Thousand[/tex]

Analyzing the statements one after the other:

The tens digit is 6 less than 8

[tex]B = 8 - 6[/tex]

[tex]B = 2[/tex]

The thousands digit is twice the digit in the tens place.

[tex]D = 2B[/tex]

[tex]D = 2 * 2[/tex]

[tex]D = 4[/tex]

The hundreds digit is the greatest odd number that is less than 10.

[tex]C = 9[/tex]

The ones digit is the product of 5 and 1.

[tex]A = 6 * 1[/tex]

[tex]A = 6[/tex]

The ten thousands digit is the difference between the hundreds digit and the ones digit.

[tex]E = C - A[/tex]

[tex]E = 9 - 6[/tex]

[tex]E = 3[/tex]

Ydia's address is: 62943

Answer:

-8, -6, -4, -2

Step-by-step explanation:

This is the only sequence that is using constant repetition of addition, either adding positive numbers or adding negative numbers (the same positive or negative number). This one that you answered is always adding 2 from the prior number, so -6 = -8+2, -4=-6+2, and so on.

The first one is an odd combo where you add and subtract different values different signs each time, it is not constant addition of the same number.

The second one is multiplication which is not arithmetic, so that means it is constantly being multiplied by 2 each time.

Answer:-8,-6,-4,-2

Step-by-step The last one because it is consistent by adding 2 the other ones ad then subtract or multiply and you can do that so the last on

Answer:

v1 positive v2 negative

Step-by-step explanation:

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Mathematics, this is called as function inside another function, just we have replace the condition of x here,

1)g(f(4)) = here, f(4) = 4-7= -3

so now, g(-3) = (-3)^2 =9

g(f(4)) = 9

2) f(g(4)) = 16-7 = 9

f(g(4))= 9

3) g(f(-1)) = 64

4) f(g(-1)) = -6

done.

Answer:

If A, C, and D are each 13 then if i answer this problem i will get 5 points sooo goodluck

Step-by-step explanation:

Answer: 492150064

Step-by-step explanation:

Answer:

Step-by-step explanation:

Round 8633 to 9000

Round 57008 to 57000

Multiply 9 by 57 and place the six zeros beside your answer

9×57= 513

9000×57000= 513000000

Answer:

[tex] \frac{14 }{3} [/tex]

Step-by-step explanation:

12x=70-14=56

x=

[tex] \frac{56}{12} = \frac{14}{3} [/tex]