Mathematics High School

6x +1.5x = 2
What is x=


Answers

Answer 1
Answer:

[tex]\boxed{x=\frac{4}{15},~0.2667}[/tex]

Solution Steps:

______________________________

1.) Combine 6x and 1.5x:[tex]6x+1.5x=7.5x[/tex]

 - You combine since these are like terms.

Equation at the end of Step 1:

[tex]7.5x=2[/tex]

2.) Divide both sides by 7.5:[tex]7.5x[/tex] ÷ [tex]7.5=x[/tex][tex]2[/tex] ÷ [tex]7.5=[/tex]

 - We divide because we want to get x alone.

Equation at the end of Step 2:

[tex]x=\frac{2}{7.5}[/tex]

3.) Expand the fraction by multiplying both numerator and the denominator by 10:[tex]2[/tex] × [tex]10=20[/tex][tex]7.5[/tex] × [tex]10=75[/tex]

 - We turned this into a fraction because we couldn't divide properly.

4.) Reduce the fraction to lowest terms by extracting and canceling out 5:[tex]20[/tex] ÷ [tex]5=4[/tex]  [tex]75[/tex] ÷ [tex]5=15[/tex]

 - This step just means divide the lowest amount possible, which in this case is 5.

______________________________

Related Questions

suppose a+b=10 and the value of a increases by 1. If the sum remains the same, what must happen to the value of b?​

Answers

Answer:

[tex]b[/tex] decreases by [tex]1[/tex]

Step-by-step explanation:

If the value of [tex]a[/tex] increases by [tex]1[/tex] and the sum remains the same, then the value of [tex]b[/tex] decreases by [tex]1[/tex].

Example:

Suppose [tex]a=7[/tex]  and [tex]b=3[/tex].

[tex]a+b = 10[/tex]

[tex]b = 10-a[/tex] (minus [tex]a[/tex] on both sides)

Now, let [tex]a = 8[/tex] ([tex]a[/tex] has increased by [tex]1[/tex]):

[tex]b = 10-8[/tex]

[tex]=2[/tex]

From the comparison of the previous value of [tex]b[/tex] to the current value of [tex]b[/tex], the value of [tex]b[/tex] has decreased by [tex]1[/tex].

Hope this helps :)

Josh wants to add a model of a tree to his model railroad layout. How big should the model tree be if the actual tree is 315 inches and the scale is 1:90?

Answers

Answer:

Step-by-step explanation:

Given that :

Scale used = 1:90

Actual tree = 315 inches

Let x = size of model tree

A seamstress bought some some bolts of fabric at $25.30 each. She spent a total of $227.70. Write an equation and solve to find the number of bolts of fabric that she purchased.

Answers

Answer:

227.70 divided by 25.30

Step-by-step explanation:

if she spent 227.70 when 25.30 was how much the fabric costed, you will need to divide to find out how much fabric she got.

I really don’t know I knew I could solve this one but I’m stumped

20 POINTS TO FIRST CORRECT ANSWER! Sorry for the bad quality!!

Answers

Answer:2=42 3=82 4=122

Step-by-step explanation:

If there is already 2, all you have to do is take away 2 from 162 and then divide by the empty spaces (in this case 4) 160/4 = 40.

The top question asap

Answers

Answer:

A= 50

Step-by-step explanation:

Very interesting to see!

x= -1

and the both angles are equal!

Write each fraction as a percent.
8/20

Answers

Answer:

40%

Step-by-step explanation:

8/20=0.4

0.4=40%

What is the lowest common denominator

Answers

Answer:

3 and 8

Step-by-step explanation:

3 and 8 because 8 can only divide by 2 or four and get 4 and 2, and 3 can not get to any of these number.

Rob is saving to buy a new MP3 player. For every $15 he earns babysitting, he saves $5. On Saturday, rob earned $75 babysitting. How much money did he save?

Answers

Answer:

he saved $25

Step-by-step explanation:

The answer is 25 because 15 multiplied by 5 is 75 and 5 multiplied by 5 is 25.

elias is training for a marathon. The table shows the total number of miles he has run each 0 I
1 I 9 sorry i could not make a line so i use this > I for a line Please what is the rate.
2 I
3 I 21
4 I
5 I 33

Answers

Answer:

rate of 6

Step-by-step explanation:

Tina’s house is located at point (5,4). What quadrant is Tina’s house in?

A: |
B: ||
C: |||
D: |V

Answers

Answer:

Tina's house located at point (5,4) is in Quadrant |.

Step-by-step explanation:

If both numbers in the parenthesis are positive, it's put in Quadrant |.

(You can also look up a graph quadrant divider and it will show you)

Help please I’m taking my iready testtt

Answers

60% because I took it too

Plz help me out ...And pls don’t use my points and don’t say idk sry in the answer’s

Answers

Answer: trapzoid 18 _ 12 _ 8 _10 =40

cube 17/5

Step-by-step explanation:

Answer:

i know you figure it out the answer

Step-by-step explanation:

20%= 2/?. What is the question mark?
5
100
10
20

Answers

Answer:

10

Step-by-step explanation:

Either Table A or Table B shows a proportional relationship.

Table A

x −2 −1 0 1
y 2 3 0 5


Table B

x −1 0 1 2
y −3 0 3 6


Plot the points from the table that shows a proportional relationship.

Answers

Answer:

the answer is table B

Step-by-step explanation:

Answer:

Table B shows a proportional relationship

Explanation:

In a proportional relationship two quantities vary directly with each other.

So,

y ∝ x

y = kx

Where, k is the constant of variation.

The ordered pairs of table A are (-2,2), (-1,3), (0,0) and (1,5).

From these ordered pairs we can conclude that the value of y-coordinate is not changing according to the x-coordinate because the values of x increased by 1 for each ordered pair but the value of y is not increasing in the same proportion..

The ordered pairs of table B are (-1,-3), (0,0), (1,3) and (2,6). The value of y increasing at a constant rate 3 and the value of y-coordinate is 3 times of x-coordinate.

Choose any two ordered pairs of table B. Let the two points are (0,0) and (1,3).

The proportional relationship is defined as

y = 3x

Therefore, 3 is the constant of variation and rate of change.

So, Table B shows a proportional relationship.

Tatiana wants to give friendship bracelets to her 323232 classmates. She already has 555 bracelets, and she can buy more bracelets in packages of 444.
Write an inequality to determine the number of packages, ppp, Tatiana could buy to have enough bracelets

Answers

Answer:

p(4)+5 >-32

Step-by-step explanation:

evaluate he expression for x=4​

Answers

Answer:

41

Step-by-step explanation:

Step 1:

12x - 7          Equation

Step 2:

12 ( 4 ) - 7       Input x value

Step 3:

48 - 7       Multiply

Answer:

41        Subtract

Hope This Helps :)

Answer:

Step-by-step explanation:

steps are below

step 1

12x-7  equation

12(4)-7

step 2

(12)(4)-7  Evaluate the equation

step 3

48-7

41  answer

for geometry:(

will give brainist!!

Answers

Step-by-step explanation:

that's ur answer

I hope you understand

show work for brainliest.

find the equation for the parabola with vertex (4,6) and focus (4,9) .

Answers

Answer:

Equation of the parabola: 12y−72=(x−4)212y−72=(x−4)2 or y=x212−2x3+223y=x212−2x3+223.

Vertex form: y=(x−4)212+6y=(x−4)212+6.

No intercept form.

Vertex: (4,6)(4,6).

Focus: (4,9)(4,9).

Eccentricity: 11.

Directrix: y=3y=3.

Latus rectum: y=9y=9.

The length of the latus rectum: 1212.

Axis of symmetry: 

Step-by-step explanation:

from parabola calculator-eMathHelp

I hope it helps.

Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week. Suppose Carson worked as a babysitter for 5 hours one week. What is the minimum number of full hours he would need to work at his father's business to earn at lease $96 that week?

Answers

Step-by-step explanation:

Step one:

let the hours for babysitting be x

and the hours for doing clerical be y

we are told that Carson would like to earn $96 weekly

She babysits for $6 per hour

and earned $8 per hour  doing clerical work

6x+8y=96---------------1

Carson cannot work more than a total of 15 hours per week  

5x+y≤15-------------2

The system of equation for the situation is

6x+8y=96

5 x+y≤15  

y=15-5 x

put y=15-5 x in eqn 1

6x+8(15-5 x)=96

6x+120-40x=96

collect like terms

6x-40x=96-120

-34x=-24

x=24/34

x=0.7

Approximately 1 hour babysitting

put x= 0.7 in 5x+y≤15

5(0.7)+y≤15

3.52+y≤15

y≤15-3.52

y=11.4

Approximately 11 hours doing clerical work

Step-by-step explanation:

Step one:

let the hours for babysitting be x

and the hours for doing clerical be y

we are told that Carson would like to earn $96 weekly

She babysits for $6 per hour

and earned $8 per hour doing clerical work

6x+8y=96---------------1

Carson cannot work more than a total of 15 hours per week

5x+y≤15-------------2

The system of equation for the situation is

6x+8y=96

5 x+y≤15

y=15-5 x

put y=15-5 x in eqn 1

6x+8(15-5 x)=96

6x+120-40x=96

collect like terms

6x-40x=96-120

-34x=-24

x=24/34

x=0.7

Approximately 1 hour babysitting

put x= 0.7 in 5x+y≤15

5(0.7)+y≤15

3.52+y≤15

y≤15-3.52

y=11.4

Approximately 11 hours doing clerical work

CAN SOMEONE PLEASE HELP ME ON NUMBER 3

Answers

Answer:

36

Step-by-step explanation:

PLEASE ANSWER RIGHT PLEASE

answer choices
Question 30 options:

√11
√10
√61
5

Answers

Answer:

61

Step-by-step explanation:

(x2-x1)2 + (y2-y1)2

(5-0)2 + (-3-3)2

25+36= 61

square root of 61

What is the y-intercept when a line has a slope of 7 and passes through
the point (-1, -3)?

Answers

Answer:

The y-intercept would be -3

Step-by-step explanation:

already learn that

Question - what is the y-intercept when a line has a slope 7 and passes through the point (-1, -3)?


Answer - y = 10x +7

i need a lot of help on this please!!!

Answers

Answer:

y=-12, 0, 0,0,4

Step-by-step explanation:

They are all in order all you have to do is plug in the x value were the x is so like this

4(-2)-4 do it like that with every number from the x value then they are right

help for brainliest plsssssssssssss

Answers

Answer:

2,472 / 2 = 1,236

I missed my math class yesterday and im not sure what to do here. Please help

Answers

Answer: ok so uhmmmm whats you math class about and what its about just study on that topic and i hope you pass if you have any tests

Email the teacher. Tell them that you’re sorry(explain why you weren’t there) and ask for extra credit or take the penalty

sqrt((1, 476 + 274(341 - 48))/2)

Answers

is this the equation ??

Pleases help thank you

Answers

Answer:

my bad

The correct answer is C

Step-by-step explanation:

hopr it helps

have a great day

:)

The answer is c because the exponent 4 becomes 3 four times

can someone help me plz 2a+1=1

Answers

Answer:

0

Step-by-step explanation:

2a+1=1

2a=0

---   ---

2     2

a=0

Answer:

A=0

Step-by-step explanation:

2a+1=1

2a=1-1 (i moved +1 to the other side ...coz our goal is to isolate "a",  and in order to do this, look for numbers that are freer)(moving the +1 to the other side made it -1)(you just need to remember that when we move any number to the other side it will claim its opposite operation so +1 will turn to -1)

2a=0  (1-1=0)

a=0/2 (now, 2 is being multiplied with a, and to isolate "a" we move 2 to the other side, and this will make to divide ((because the opposite of multiplication is division)) )

a=0 (the ans!)

Help! Solve for r.
12=r-(34-2)

Answers

R= 3/8 or r=0.375 .....

PLS HELP WORTH 20 POINTS

Answers

Answer:

all the sides are the same so it would be 5

Step-by-step explanation:

The side are the same so igg to would be 5
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