MATHEMATICS HIGH SCHOOL

What is the solution to the equation 1/2 (x-12) + 4 = 1/3 (6x-15)?

Answers

Answer 1

Answer:

Answer:

$x=2$

Step-by-step explanation:

$(1)/(2) (x-12) + 4 = (1)/(3) (6x-15)$

$(x-12)/(y2) +4=(6x-15)/(3)$

$((x-12)+2*4)/(2)=((2*3)x-3*5)/(3)$

$x=2$

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What is the value of a for the equation below?15 + 2a = 35
a = 10
a = 5
a = 20
a = 25

Answers

Steps to solve:

15 + 2a = 35

~Subtract 15 to both sides

2a = 20

~Divide 2 to both sides

a = 10

Best of Luck!

Jason has decided to sell one of his baseball cards. The card is valued at $51.00. The store is only offering Jason $29.00. How much less is Jason being offered for his card than what it is valued at?*

Answers

well, just take the difference, 51-29, and 22 is how much less his card it being valued at. Or you can do 29-55, which would be -22, showing the amount and that it's valued less.

Three more than three times a number is one less than two times the number what is the number

Answers

In the given question, there are several information's of immense importance. using these information's the correct and the required answer can be determined. It is given that an unknown number has to be found from the information's provided.
Let us assume the unknown number = x
Then
3x + 3 = 2x -1
3x - 2x = -1 -3
x = -4
So the unknown number is -4.
It should be remembered that these are trick questions and it is important to go through each lines very carefully to understand the inner meaning.

Let's say the unknown number = x

Now we have to set up an equation in order to solve for x.
3x + 3 = 2x -1
x = -4

Your answer should be -4

Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?

Answers

Answer:

The number of times faster Abigail is on her skateboard than she is walking is 4 times

Step-by-step explanation:

The information given are;

Abigail was skateboarding home (let the distance home = D)

The distance Abigail had traveled when her skateboard broke = 2/3 of D

The distance of the rest (remaining) of the way home = 1 - 2/3 of D = 1/3 of D

The time Abigail took in walking the rest of the way home = 2 × t, Time it will take on the skateboard

Given that t is the time it takes Abigail to arrive home on skateboard alone, we have;

$Speed = (Distnce)/(Time)$

Speed on skate board, S $_t$ = Distance/Time = D/t

Therefore, the time it took Abigail to travel two thirds (2/3) of D is given as follows;

$Time= (Distnce \ covered)/(Speed ) = ((2)/(3) D)/(S_t) = ((2)/(3) D)/((D)/(t) ) = (2)/(3) D * (t)/(D) = (2)/(3) t$

The total time it took Abigail to get to her home = Time of walking + Time on skateboard

The question also states that he total time it took Abigail to get to her home by walking and skateboarding because her skateboard broke = 2×t

Therefore, the total time it took Abigail to get to her home = 2×t = Time of walking + Time on skateboard = Time of walking + $(2)/(3) t$

Which gives;

2×t = Time of walking + $(2)/(3) t$

Time of walking = $2 * t -(2)/(3) t$ = $(4)/(3) t$

∴ The time Abigail walked 1/3·D = $(4)/(3) t$

Abigail walking speed is then

$Walking \ speed= (Distnce \ covered \ walking)/(Time \walking) = ((1)/(3) D)/((4)/(3) t) = ((D)/(3) )/((4 \cdot t)/(3) ) = (D)/(3) } * {(3)/(4 \cdot t) } = (D)/(4 \cdot t) }$

To compare how many times faster is Abigail on her skateboard than she is walking, we divide the expression (formula) for the speed of skateboarding with the (formula) for the speed of walking as follows;

$The \ number \ of \ times \ faster = ((D)/(t) )/((D)/(4 \cdot t) )} = (D)/(t) * (4 \cdot t)/(D) } = 4$

The number of times faster is 4 that is Abigail is four times faster on her skateboard than she is walking.

The triangles shown are similar.What is the value of x?

A.
12

B.
15

C.
20

D.
13

Answers

15, because 3 goes into 9, 3 times and, 4 goes into 12, 3 times therefore x has to follow this rule because these 2 triangles are similar and because it already gives you 5 just take 5*3=15 there is your answer enjoy!=)