Mathematics High School

Perform the indicated operation.
[tex]x + 5 / 3[/tex] -[tex]X - 3 / 2​[/tex]

Answers

Answer 1

Answer:

[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]x + \frac{5}{3}-x - \frac{3}{2}[/tex]

Required

Solve

[tex]x + \frac{5}{3}-x - \frac{3}{2}[/tex]

Collect like terms

[tex]x + \frac{5}{3}-x - \frac{3}{2} = x -x+ \frac{5}{3} - \frac{3}{2}[/tex]

[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{5}{3} - \frac{3}{2}[/tex]

Take LCM

[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{10 -9}{6}[/tex]

[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}[/tex]

Related Questions

What is an
equation of the line that passes through the points (-4,-4) and (4, 6)?

Answers

Answer:

Step-by-step explanation:

1.) Find the slope

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-(-4)}{4-(-4)}= \frac{6+4}{4+4} = \frac{10}{8}=\frac{5}4}[/tex] = m

2.) Use the  slope-point form for a line

[tex]y-y_0=m(x-x_0)[/tex]

Pick any point (-4,-4) or (4,6) into [tex]y_0 and x_0\\[/tex]

but your equation is y= 5/4x+1

A triangle has sides with lengths of 50 meters, 57 meters, and 79 meters. Is it a right
triangle?
yes
no​

Answers

A right triangle has at least one angle that is a right angle (90 degrees)

50,57,79 none are 90 degrees

The triangle is not a right triangle
The triangle is not a right triangle

Which expression is equivalent to 120x2 - 48x?
F 12(10X - 4)
G 12x(10x + 4)
H 12X(-10X - 4)
J 12x(10x - 4)

Answers

The answer is J, because using distributive properties, 12x times 10x would be 120x and 12x times 4 would be 48x!

The two figures are proportional. Find the value of x.

Answers

Answer:

C. 30in

Step-by-step explanation:

[tex]\frac{36}{12} = \frac{x}{10}[/tex]

x = 30

I just need help trying to figure out what the answer is

Answers

Take the percentages that are shown in the graph to subtract from 100.

I WILL GIVE BRANLIEST HELP FAST DUE IN 10 MINS 56yx^3-32yx+16y

Answers

Answer:

8y(7x^3-4x+2)

Step-by-step explanation:

Group and factor out the greastest common factor then combine

Answer:

this is my alt here ya go champ

Step-by-step explanation:


Please help me I’m begging you

Answers

Answer:

independent= f

dependent= g

40) If you deposit $6000 in a bank account
with an interest rate of 5% compounded
monthly, find the balance after 6 years.
A) 4442.12 B) $8084.11
C) $8094.11 D) $7618.41
E) $4436.51

Answers

Answer:

The answer should be D

answer algebra 1 problem below

Answers

Answer:

Step 1: multiply

10*10=100*10=1000*10=10000

Step 2: write 1st one out.

(8*10000)

Step 3: multiply

8*10000=80000

________________-

Step 1: multiply

10*10=100*10=1000*10=10000*10=100000*10=1000000*10=10000000*10=100000000*10=1000000000*10=10000000000*10=100000000000*10=1000000000000

step2: multiply

2*100000000000=200000000000

step 3: write it out

80000*200000000000

step 4: solve

80000*200000000000=1.6 to the power of 17

Step-by-step explanation:

so your answer is

1.6 to the power of 17

that was a lot yw

Okay so HOW DO I DO THIS AND PLEASE HELP ME ASAP

Answers

The answer is 5 since the larger triangle is 8 times as larger than the smaller triangle.

Identify the volume of the composite figure. Round to the nearest tenth.

Answers

Answer:

474.5 ft³

Step-by-step explanation:

volume of cube = l³ = 9³ = 729

volume of the cylinder = πr²h = π × 3² × 9 = 81π

subtracting,

729-81π = 474.5309951 ft³

Answer:

474.5 ft³

Step-by-step explanation:

y= -x +3 and y = x - 1

Answers

Answer:

x=2 and y=1

Step-by-step explanation:

Rewrite equations:

y=−x+3;y=x−1

Step: Solve

y=−x+3

Step: Substitute−x+3foryiny=x−1:

y=x−1

−x+3=x−1

−x+3+−x=x−1+−x(Add -x to both sides)

−2x+3=−1

−2x+3+−3=−1+−3(Add -3 to both sides)

−2x=−4−2x−2=−4−2

(Divide both sides by -2)

x=2

Step: Substitute2forxiny=−x+3:

y=−x+3

y=−2+3

y=1(Simplify both sides of the equation)

Hope this Helps you :)

Select the correct answer from each drop-down menu.
157
The expression above can also be written in the form ac.

Answers

Answer:

For this expression:

            a=15  , b=7 and c=4

Step-by-step explanation:

We are asked to find the value of a,b and c by representing the given expression:

in the form of:  

where a is the base and b is the numerator of the exponent and c is the denominator of the exponent.

We know that the expression of the type:

is also written as:

Hence, we get our expression as:

        Hence, we have:

     a=15, b=7 and c=4

a=15  , b=7 and c=4

Step-by-step explanation:

Just had this on a test!

Answer: a=15 b=7 c=4

Step-by-step explanation:

Good

hii please help i’ll give brainliest

Answers

Answer:

A :) Sorry if it's wrong, I'm learning this too

Select three angle measures that can represent the three angles of a triangle. Write the measures in Box A. 100 80 30 90 70 10

Answers

Answer:

some examples:

80, 30, 70

80, 10, 90

100, 70, 10

Step-by-step explanation:

angle measures must add to 180 degrees

Is this correct?????

Answers

Answer:

yes

Step-by-step explanation:



WILL GIVE BRAINLIEST

Answers

Answer:

10

Step-by-step explanation:

5+ x= 3x - 21+6

5+21-6= 3x-x

20=2x

x=20/2

x=10

Best answer gets brainliest help!!

Answers

Answer:

option A

Step-by-step explanation:

the answer is a because it says triangle PGR and DEF are similar. The congruent sides are in order so side PG is equal to DE or 4/6

have a great day :D

It's A).
Because they are similar triangle so their proportion are equal

Determine if DE is parallel to AC. Show all your work!!!
24
40
E
22.5
D
15
B

Answers

Answer:

Step-by-step explanation:

We will prove the converse of the postulate,

"If a line parallel to one side of a triangle and it intersects other two sides of the triangle, then the line will divide both the sides in the same ratio"

Segment DE intersects AB and BC at D and E respectively,

Ratio of the segments of two sides,

[tex]\frac{AD}{DB}=\frac{CE}{EB}[/tex]

[tex]\frac{22.5}{15}=\frac{24}{40-24}[/tex]

1.5 = 1.5

True.

Therefore, lines AC and DE are parallel.

I WILL MAKE YOU BRAINLIEST FOR THE FIRST ONE TO SOLVE THIS FOR ME!!!

Which number is larger, A or B? Write more than a sentence to explain your reasoning.

(A) 9.675 x 10^24
(B) 1.109 x 10^28​

Answers

Answer:

the answer is B

Step-by-step explanation:

when you take the first answer and subtract the second answer from it you get a negitive number of -1.1080325x10+28

find the solution(s) to 2x^2-5x-3=0. check all that apply

Answers

It will equal 49 but what is the choices u got

Answer:

-1/2 & 3

Step-by-step explanation:

just took the test

The table shows the balance of two accounts each year for four years. Determine whether each balance is linear or nonlinear. Then predict which account will have a greater balance in Year 3.

Year, t Account A Balance Account B Balance
0 $450 $550
1 $504 $570
2 $564.48 $590

Account A Balance is linear. Account B Balance is nonlinear. Account A will have a greater balance in Year 3.

Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3.

Account A Balance is linear. Account B Balance is nonlinear. Account B will have a greater balance in Year 3.

Account A Balance is nonlinear. Account B Balance is linear. Account B will have a greater balance in Year 3.

Answers

Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3. Then the correct option is B.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The slope for account A is calculated as,

m = (504 - 450) / (1 - 0) = (564 - 504) / (2 - 1)

54 ≠ 60

Account A is non-linear. The amount after 3 years will be more than $620 ($564 + $60).

The slope for account B is calculated as,

m = (570 - 550) / (1 - 0) = (590 - 570) / (2 - 1)

20 = 20

Account A is linear. The amount after 3 years will be $610 ($590 + $20).

More about the slope link is given below.

https://brainly.com/question/3605446

#SPJ2

HELP ME BECAUSE I HAVE NO IDEA HOW TO DO THIS

Answers

Answer:

3

Step-by-step explanation:

ill reply to this gimmie a moment

Answer:

(-∞, 3] or x[tex]\leq[/tex]3

Step-by-step explanation:[tex]inf[/tex]

we treat it like a normal linear problem.

We can add 3 on both sides to get:

-10w[tex]\leq[/tex]-30

we can divide both sides by -10 to get...

w[tex]\leq[/tex]3

Or if nessessary, the interval notation is (-∞, 3]

Hope this helped!

ITS NOT C
please help though i've spent to much on this
ill mark you the brainlyest!!!

Answers

Answer:

A

Step-by-step explanation:

A bus averages 2miles per hour faster than a motorcycle. If the bus travels 165miles in the same time it takes the motorcycle to travel 155miles, then what is the speed of each?

Answers

Answer:

speed of bus = 33 mi/hr

speed of motorcycle = 31 mi/hr

Step-by-step explanation:

Let the speed of the motorcycle be x mi/h.

Now, we are told that the bus averages 2 mi/hr faster than the motorcycle. Thus, speed of bus = (x + 2) mi/hr

Formula for time is; t = distance/speed

Since distance covered by bus is 165 miles, then t_bus = 165/(x + 2)

Since distance covered by motorcycle is 155 miles, then t_motorcycle = 155/x

We are told that the bus and the motorcycle used the same time to cover their respective distances. Thus;. t_bus = t_motorcycle

Thus;

165/(x + 2) = 155/x

Cross multiply to get;

165x = 155(x + 2)

165x = 155x + 310

165x - 155x = 310

10x = 310

x = 310/10

x = 31 mi/hr

Then speed of bus = 31 + 2 = 33 mi/hr

T-3.7=1.2? What is the T? Plz help

Answers

Answer:

T = 4.9

Step-by-step explanation:

Just add 3.7 and 1.2 to get 4.9

T would be 4.9 because you would add 3.7 to both sides to cancel it out

24 divded by v + k when v = 3 and k = 12

Answers

what? i’m confused haha

Answer:

24÷3+12 would be 20

Step-by-step explanation:

You do 24÷3 which is 8 and then you add 12. I hope this helps!

A house cast 65-foot shadow. A person standing nearby cast 7.2 foot shadow. Their height is 4.8 feet. What is the height of the house?

Answers

Answer:

42.43 feets

Step-by-step explanation:

Given :

(Height of house / shadow of house) = (height of person / shadow of person)

(height of house / 65) = (4.8 / 7.2)

Cross multiply

Height of house * 7.2 = 4.7 * 65

Height of house = 305.5 / 7.2

Height of house = 42.43 feets

What are the coordinates of A' if it is reflected over the line x= -3?

Answers

Don’t open that ^ it’s a virus


Find the value of x.

Answers

Answer:

x = 33

Step-by-step explanation:

x - 12 and 2x + 3 form a right angle , then

x - 12 + 2x + 3 = 90

3x - 9 = 90 ( add 9 to both sides )

3x = 99 ( divide both sides by 3 )

x = 33

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