MATHEMATICS MIDDLE SCHOOL

Find the value of x if A, B, and C are collinear points and B is between A and C.AB=x+6,BC=3x−5,AC=36−x

Answers

Answer 1

Answer:

we know that

if A, B, and C are col-linear points and B is between A and C

then

AB+BC=AC

AB=x+6

BC=3x-5

AC=36-x

substitute

(x+6)+(3x-5)=36-x

(x+3x)+(6-5)=36-x

4x+1=36-x

4x+x=36-1

5x=35

x=35/5

x=7

the answer is

the value of x is 7

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leslie needs 48 ounces of charcoal for her grill how many pounds of charcoal should she buy please help

Answers

It is 3 because there 16 oz in 1 pound.48 divided 16 equals 3

A class is made up of 8 boys and 6 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses?

Answers

3/14 3 out of 14 or 0.214% of a chance

Abbie spent 5/8 of her money and saved the rest. If she spent $45. how much money did she have at first?

Answers

$72

Further explanation

Given:

Abbie spent $(5)/(8)$ of her money and saved the rest.
She spent $45.

Question:

How much money did she have at first?

The Process:

Let us design a diagram that matches the above situation.

$\boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot}$

1 unit represents 1 part of all the money she had at first.

Abbie spent $(5)/(8)$ of her money and saved the rest, that is $\boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot}$ or 5 of 8 units.

From the diagram she spent above, 5 units exactly match the $ 45 she spent.

$\boxed{ \ 5 \ units = \$ 45 \ }$

$\boxed{ \ 1 \ unit = \$ \ ? \ }$

$\boxed{ \ \$ 45 / 5 \ units = \$ 9 \ }$

Therefore, $\boxed{ \ 1 \ unit = \$ 9 \ }$

Abbie had 8 units at first.

Let's count how much money did she have at first.

$\boxed{ \ 1 \ unit = \$ 9 \ }$

$\boxed{ \ 8 \ unit = \$ \ ? \ }$

$\boxed{ \ = 8 * 9 \ }$

$\boxed{\boxed{ \ \$ 72 \ }}$

Thus, she had $ 72 at first.

- - - - - - - - - -

Quick Steps

$(5)/(8)$ of her money at first is $45.

The money she had at first is

$\boxed{ \ \$ 45 / (5)/(8) = \ ? \ }$

$\boxed{ \ = \$ 45 * (8)/(5) \ }$

We crossed out 45 and 5.

$\boxed{ \ = \$ 9 * (8)/(1) \ }$

$\boxed{\boxed{ \ \$ 72 \ }}$

Learn more

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Keywords: Abbie spent, 5/8 of her money, and, saved the rest, if, she spent, $45, how much, she have at first, diagram, unit, part

She had 80 dollars at first.80/80 equals to 8/8 and that equals to 64 dollars. 5/8 equals to 45

A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $135 for 100 minutes of usage and $375 for 500 minutes of usage. An equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph of y against x? Draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 0.6 Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6 Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 1.67 Draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 1.67

Answers

Answer:

The graph which describes the relationship between company charges and minutes of usage is the graph containing the points (100,135) and (500,375) and has a slope of 0.6. Where the first coordinate of the points are the minutes and the second coordinate the charges.

Step-by-step explanation:

As the first coordinate of a point always represents the x variable and the second coordinate they value, the possible options to describes this situation are:

The graph join which joins the points (100,135) and (500,375) and has a slope =0.6

The graph join which joins the points (100,135) and (500,375) and has a slope =1.6

The other options are not possible since the order of the coordinates is inverted.

One of the possibilities showing above must be rejected since one have the incorrect slope. To verify the correct slope we calculate the variation of y coordinates and divide by the variation of x coordinates:

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

Assuming the point named '2' as the point (100,135) and the point named '1' as (500,375):

$m=((375-135) \$)/((500-100) minutes)$

$m=((240) \$)/((400) minutes)$

$m=0.6 \$/minutes$

Thus, that the graph joining the points (100,135) and (500,375) and has a slope of 0.6 the only possible action.

The correct answer to this question is letter "B. Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6." The one on the x axis should be the number of minutes and on the other hand, the one on the y axis should be the amount being charged.

WILL MARK BRAINLIEST! If 8 pounds of meat costs $24.36. How much will 14 pounds of meat cost?

Answers

Answer:

47.6

Step-by-step explanation:

Answer:

42.63

Step-by-step explanation:

24.36 divided by 8 = 3.045

3.045 x 14 = 42.63

help me wit these 3 questions plz.

A cone has a base radius of 7 centimeters and a height of 21 centimeters.

What is the volume of the cone?

28π cm3

49π cm3

147π cm3

343π cm3

Answers

1. Cone

$r=7cm$
$h=21cm$

$V= (\pi*r^2*h)/(3)=(\pi*7^2*21)/(3)=7^2*7*\pi=7^3\pi=343{\pi}cm^3$

Answer: D

2. Cylinder

$r=5ft$
$h=16ft$

$V= \pi*r^2*h=\pi*5^2*16=25*16\pi=400\pi ft^3$

Answer: A

3.Pyramid

In this case it will be

$V= (a*b*h)/(3)$

$a=9ft$
$b=4ft$
$h=12ft$

$V= (4*9*12)/(3)=4*3*12=144 ft^3$

Answer: B

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