Thomas bought a new backpack that was 30 off the original price.The sale resulted in a $15 discount.What was the original price of the backpack?

Answer: a) [tex]\dfrac{13}{7}[/tex]

Step-by-step explanation:

Median: Line segment from one vertex of a  triangle to the midpoint of the opposite side. i.e. it bisects the opposite side.

Centriod: Point of intersection of a triangle of its medians

.Also, it is [tex]\dfrac23[/tex] of the distance from vertex to the midpoint of opposite side.

Given:  CD is a median in triangle ABC and M is centriod.

[tex]\Rightarrow CM=\dfrac23 CD[/tex]

Since CM = x +5 and CD = 5x + 1

[tex]\Rightarrow\ x+5=\dfrac{2}{3}(5x+1)\\\\\Rightarrow\ 3(x+5)=2(5x+1)\\\\\Rightarrow\ 3x+15=10x+2\\\\\Rightarrow\ 10x-3x=15-2\\\\\Rightarrow\ 7x=13\\\\\Rightarrow\ x=\dfrac{13}{7}[/tex]

Correct option is a)

Answer:

[tex]\frac{-15}{6}[/tex]

Step-by-step explanation:

[tex]\frac{-5-10}{0-(-6)}[/tex]

[tex]\frac{-15}{6}[/tex]

Answer:

2 boxes

Step-by-step explanation:

1 dozen = 12

24 divided by 12 = 2!

Answer:

S/he needs 2 boxs

Step-by-step explanation:

24/12=2

Answer:

You would move each point on y=P(x) up by three. Or add 3 to each y coordinate

Step-by-step explanation:

This is because we're not manipulating the value of x before it gets multiplied by P.

For example:

If x is set to equal 5 and P equal to 2, then the parent function would have a coordinate of (5,10) since 2(5)=10 but the new function would have a coordinate of (5,13) since 2(5)+3= 13 due to order of operations (2×5 =10, then we add 3).

Answer:

Step-by-step explanation:

Step 1:

Plot y=P(x) from x=-a to x=a with x=0 as the middle point of the distance between a and -a.

Step 2:

Add the value of +3 to each point of y=P(x), ie, y=P(x)+3 meaning that the graph y=P(x) will be pulled up three units on the y axis.

Answer:DE = 4

AB = 30

Step-by-step explanation:

Answer:

30cm²

Step-by-step explanation:

AE/BD = CE/CD

9/6 = CE/8

CE = 9/6 x 8

CE = 12cm

DE = CE - CD

DE = 12 - 8 = 4 cm

½(6 + 9)4 = 30cm²

Answer:

the second number

Step-by-step explanation:

EX:  ( -3, 2 ) the 2 would lie on the y axis because its the second number the x axis always comes 1st and the y axis 2nd

Answer:

73

Step-by-step explanation:

Answer:

t = -14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-98 = 7t

Step 2: Solve for t

Step 3: Check

Plug in t into the original equation to verify it's a solution.

Here we see that -98 is equal to -98.

∴ t = -14 is the solution to the equation.

t = -14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-98 = 7t

Step 2: Solve for t

Divide 7 on both sides: -14 = t

Rewrite: t = -14

Step 3: Check

Plug in t into the original equation to verify it's a solution.

Substitute in t: -98 = 7(-14)

Multiply: -98 = -98

Here we see that -98 is equal to -98.

∴ t = -14 is the solution to the equation.

Answer:

567000 dollars

Step-by-step explanation:

Straightforward if 7000 for 3 hours then 3*27=81 and 7000*81=567000

Answer:

m= 3/2

Step-by-step explanation:

Answer:

5,940 1/8 inches

Step-by-step explanation:

5,940 1/8 inches

Answer:

Step-by-step explanation:

2

Answer:

4

Step-by-step explanation:

Slope is rise over run, but you can also find the slope between two points with this formula:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

12-4=8

----------

6-2=4

8/2=4

9514 1404 393

Answer:

  a.  40

  b.  0

  c.  50

Step-by-step explanation:

a) 46 + (-2k) for k = 3 is ...

  46 + (-2(3)) = 46 -6 = 40

__

b) 46 + (-2k) for k = 23 is ...

  46 + (-2(23)) = 46 -46 = 0

__

c) 46 + (-2k) for k = -2 is ...

  46 + (-2(-2)) = 46 +4 = 50

Answer:

d.....hope this will help u:))

Answer:

y=4x

Step-by-step explanation:

a proportional relationship has to cross through the origin and all of the other answers have y intercepts and if it has a y intercept then it will not pass through the origin.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

if 8% is 80 then 10% is 100 and 10 multiplied by 100 iss 100. so 1,000 readers. i might be wrong tho

Answer:

x= -1.7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = -1.7.

Step-by-step explanation:

3.7 = 5x + 12.2

Subtract 3.7 from both sides:

0 = 5x + 12.2 - 3.7

0 = 5x + 8.5

Subtract 5x from both sides:

-5x = 8.5

x = 8.5 / -5

x = -1.7.

Answer:

A

Step-by-step explanation:

Answer:

the answer would be 1/18

Answer:

A. $23.34

Step-by-step explanation:

The computation of the amount of money spend altogether is given below:

= Purchase price of 4 binder + pack of pencils + new coat

= $2.14 + $1.25 + $19.94

= $23.34

We simply added the above three cost so that the total money incurred would be come

Hence, the correct option is A

Answer:

I think its A

Step-by-step explanation:

Answer: i know p4 but what does the first q say?

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

Answer:

5/10

Step-by-step explanation:

if you add all the non- chocolate chip cookies than you have 10 other cookies.

since there are 5 chocolate chip cookies than the probability would be

5/10 or 1/2

The probability of picking a chocolate chip cookie is 1/3.

Given that, a box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Here,

Total number of outcomes =15

Number of favorable outcomes = 5

Probability of an event = 5/15

= 1/3

Therefore, the probability of picking a chocolate chip cookie is 1/3.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Answer: 6 cm is 45 km

5 cm is 7.5 km

Step-by-step explanation:

Answer:

x=80 and y=30

Step-by-step explanation:

HOPE THAT HELPS!!!!!!!