MATHEMATICS MIDDLE SCHOOL

A 10-pound box of apples costs $12.50.Write the ratio of cost to number of pounds as a fraction

Answers

Answer 1
Answer:

Answer:

\frac{\$1.25}{\text{ Pound}}

Step-by-step explanation:

We have been given that a 10-pound box of apples costs $12.50.

First of all, we will find cost of each pound of apples by dividing total cost by 10 as:

\text{Cost of each pound of apples}=\frac{\$12.50}{10\text{ Pound}}

\text{Cost of each pound of apples}=\frac{\$1.25}{\text{ Pound}}

Therefore, our required fraction would be \frac{\$1.25}{\text{ Pound}}.
Answer 2
Answer: Ratio: $12.50 / 10 lbs

Work (if needed in simplest form):
$12.50 / 10 lbs
12.5 / 10 = 10 / 8
10 / 8 = 5 / 4

Answer:
$5.00 : 4 lbs (whole number answer)
or
$1.25 : 1 lb (actual price per pound)

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What is the approximate volume of a cylinder with a diameter of 10 meters and a height of 5 meters? Use 3.14 for pi.

Answers

157. Because when you multiply 10 times 3.14 times 5 you get 157.

Help with this problem.

Answers

15 is the answer I think because that is the Greatest Common Factor of all three of them.

I hope this helps!

What is 150/100 as a decimal and percent please make sure you know. Im doing homework.

Answers

Lets first convert it to a decimal by dividing the numerator by the denominator;
150 ÷ 100 = 1.5
Now we could convert the decimal to a percent by moving the decimal point two times to the right and add the percent sign;
1.5 = 150%
so 150/100 in decimal form and percent form is; 1.5 & 150%

It would be 1.5

Think as 100 as a whole number or 1

PLEASE HELP ASAP I NEED THIS NOW Sara graphs a line passing through points that represent a proportional relationship. Which set of points could be on the line that Sara graphs?A). (2,4),(0,2),(3,9)
B). (6,8),(0,0),(18,24)
C). (3,6),(4,8),(9,4)
D). (1,1),(2,1),(3,3)​

Answers

Answer: Option B.

Step-by-step explanation:

By definition, the graph of a proportional relationships is a straight line that passes through the origin (Remember the the origin is at (0,0)).

Then, the equation have the following form:

y=kx

Where "k" is the constant of proportionality (or its slope)

Then, since the Sara graphs a line that represent a proportional relationship, you can conclude that the line must pass through the point (0,0).

Then:

The set of points in Option A could not be on that line, because when x=0,y=2

The set of points (6,8),(0,0),(18,24) (Given in Option B) could be on the line that Sara graphs, because it has the point (0,0)

For the set of points shown in Option C and Option D, you can check if the slope is constant:

C)\ slope=(y)/(x)\n\na)\ slope=(6)/(3)=2\n\nb)\ slope=(8)/(4)=2\n\nc)\ slope=(4)/(9)

Since the slope is not constant, this set of ponts could not be on the line.

 D)\ slope=(y)/(x)\n\na)\ slope=(1)/(1)=1\n\nb)\ slope=(1)/(2)

 Since the slope is not constant, this set of ponts could not be on the line.

Set of points that could be on the line that Sara graphs are:

Option B). (6,8) , (0,0) , (18,24)

Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

\large {\boxed{m = (y_2 - y_1)/(x_2 - x_1)}}

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

\large {\boxed{y - y_1 = m ( x - x_1 )}}

Let us tackle the problem.

\texttt{ }

This problem is about Directly Proportional.

If (x₁ , y₁ ) and (x₂ , y₂) are on the line that represent a proportional relationship, then :

\large {\boxed { y_1 : x_1 = y_2 : x_2 } }

Option A

Let:

(2,4) ⇒ (x₁ , y₁)

(3,9) ⇒ (x₂ , y₂)

4 : 2 \ne 9 : 3

2 : 1 \ne 3 : 1

2 \ne 3 → not proportional

\texttt{ }

Option B

Let:

(6,8) ⇒ (x₁ , y₁)

(18,24) ⇒ (x₂ , y₂)

8 : 6 = 24 : 18

4 : 3 = 4 : 3 → proportional

\texttt{ }

Option C

Let:

(3,6) ⇒ (x₁ , y₁)

(9,4) ⇒ (x₂ , y₂)

6 : 3 \ne 4 : 9

3 : 1 \ne 4 : 9 → not proportional

\texttt{ }

Option D

Let:

(1,1) ⇒ (x₁ , y₁)

(2,1) ⇒ (x₂ , y₂)

1 : 1 \ne 1 : 2 → not proportional

\texttt{ }

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

#LearnWithBrainly

Mike flipped two identical coins at the same time what is the probability of observing heads on both coins

Answers

the probability is 1/4 or 25% because 1/2 x 1/2 is 1/4

1/4 or 25% hope this helps

Long addition for integers

Answers

-9 + 6 + (-7) +3=
-9 +6 = -3
-3 + (-7)= -10
-10 +3= -7

-4 + 9 = 5

-81 + -56 = -137

40 + 23 = 63

positive + negative (convert it to subtraction the sign changes when it depends on the higher number)

negative + negative = negative

positive + positive = positive
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