It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)

Answer:

A'A = 18 units, B'B = 9 units

Step-by-step explanation:

Δ ACB and Δ A'CB' are similar triangles, thus the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{A'C}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , substitute values

[tex]\frac{AC}{12}[/tex] = [tex]\frac{20}{8}[/tex] ( cross-  multiply )

8AC = 240 ( divide both sides by 8 )

AC = 30

Thus A'A = AC - A'C = 30 - 12 = 18 units

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and

[tex]\frac{CB}{CB'}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , that is

[tex]\frac{CB}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )

8CB = 120 ( divide both sides by 8 )

CB = 15

Thus

B'B = CB - CB' = 15 - 6 = 9 units

Answer:

Part A x=60

Step-by-step explanation:

68+52= 120

180-120=60

So x=60

Answer:

12 species

Step-by-step explanation:

37-N=25

working backwards

25-37=N

=25-37=12

Answer:

6 min for Marge's and 7 for Dan's plan

Step-by-step explanation:

0.14x6=0.84

0.12x7=0.84

Answer:

1 1/3 = y

Step-by-step explanation:

12 = 6x + 3y

12 = 9y

12/9 = y

1 1/3 = y

Hope this helped!

Answer:

you need to take a better picture nobody can see that i not trying be be rude

Step-by-step explanation:

Answer:

upload clear picture, it is very easy

Step-by-step explanation:

Answer:

Since the budget of the school is $15,000, the school does not have enough money to buy the monitors

Step-by-step explanation:

The school plans to purchase 200 monitors for $89 each.

This is the calculation of the teacher

200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400

The teacher's calculation is wrong

The correct calculation using Distributive property is

a(b + c) = ab + ac

200 × 89 = 200(80) + 200(9)

Because 80 + 9 = 89

Hence,

200 × $89 = 16000 + 1800

= $17,800

Since the budget of the school is $15,000, the school does not have enough money to buy the monitors

$17, 800 ≠ $15,000

Answer:

A and B

Step-by-step explanation:

3x+3(x+y)

3x+3x+3y

6x+3y

B

3(x+x+y)

3x+3x+3y

6x+3y

Answer:

10

Step-by-step explanation:

set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10

Answer: 00000

Step-by-step explanation:

Answer:

16.6

Step-by-step explanation:

12 divided by 18/25 is 16.66.

Given:

12 divided by 18/25

12÷18/25

12÷0.72

=16.66

Division is one of the four basic operations of arithmetic, the ways in which numbers are combined to form new numbers. To divide rational expressions, multiply the first fraction by the reciprocal of the second. If we rewrite  division as the product of the first expression by the inverse of the second, we add them all and look for common factors.

The way  something is shared is called a sharing method. There are  three types of distribution methods according to the degree of difficulty. They are division method or division by repeated subtraction, short division method or bus stop method and long division method.

To learn more about division, refer;

https://brainly.com/question/21416852

#SPJ2

Answer:

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step-by-step explanation:

The correct question is:

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:

Step 1: Choose a point on the line, such as (2, 5).

Step 2: Choose another point on the line, such as (1, 3).

Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .

Step 4: Substitute those values into the point-slope form.

y – y1 = m(x – x1)

y – 3 = (x – 1)

Which of Talia’s steps is incorrect?

Step 1 is incorrect because it uses a point that is not on the line.

Step 2 is incorrect because it uses a point that is not on the line.

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.

Step 2 is also correct.

Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.

Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2

Therefore the correct point-slope form is:

y – y1 = m(x – x1)

y – 3 = 2(x – 1)

Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

c

Step-by-step explanation:

took the quiz!!

Answer:

-7

Step-by-step explanation:

Answer:

[tex]LN = 55[/tex]

Step-by-step explanation:

Given

[tex]LN = 12w + 7[/tex]

[tex]LP = 15w - 5[/tex]

Required

Determine LN

Since LM is a bisector, then we have:

[tex]LP = LN[/tex] (See attachment for illustration)

[tex]15w - 5 = 12w + 7[/tex]

Collect Like Terms

[tex]15w - 12w = 5 +7[/tex]

[tex]3w = 12[/tex]

Solve for w

[tex]w = 12/3[/tex]

[tex]w = 4[/tex]

LN is calculated as thus:

[tex]LN = 12w + 7[/tex]

Substitute 4 for w

[tex]LN = 12 * 4 + 7[/tex]

[tex]LN = 48 + 7[/tex]

[tex]LN = 55[/tex]

Answer:

the  answer is 8

Step-by-step explanation:

BC

Answer:

8

Step-by-step explanation:

18-inches is 1.5 feet.

Answer:

x^3 + 2x - 3

Just divide x^5-3x^3-3x^2-10x+15 by the quotient and you get the polynomial searched.

Step-by-step explanation:

hope it helps , i am in 6th grade and i have got this answer from an elder student.

Answer:

m = -4 3/5   or   -4.6

Step-by-step explanation:

First, we need to isolate the variable, m. We subtract 1 3/5 on both sides of the equation, and then we should get -4 3/5 = m.

hope this helped !! :D

Answer:

y=x

Step-by-step explanation:

y1 is -4 and x1 is -4 so I think that's the amswer

height = 2.25 * box.

So, 14 boxes = 2.25 * 14 = 31.5.

Answer:

ummm ................

Answer:1/11

Just got it using some brain cells >:)

Answer:

1/11

Step-by-step explanation:

13/143=1/11

Answer:

q=3.4

Step-by-step explanation:

-13q+-52=7q+16

-52=20q+16

-68=20q

-68/20 is -3.4

Answer:

123456789098765432172 is NOT divisible by 18. When it is divided out you are left with a decimal! :)

Step-by-step explanation:

Answer:

b

Step-by-step explanation: