What is the value of the “t” in the equation: 12t − 2(t − 5) = 60 ?

Answers

Answer 1

Answer:

First write the given equation

[tex]{:}\longrightarrow\tt 12t +2 (t-5)=60 [/tex]

Simplify

[tex]{:}\longrightarrow\tt 12t+2t-10=60 [/tex]

[tex]{:}\longrightarrow\tt 14t-10=60 [/tex]

[tex]{:}\longrightarrow\tt 14t=60+10 [/tex]

[tex]{:}\longrightarrow\tt 14t=70 [/tex]

[tex]{:}\longrightarrow\tt t=\cancel{\dfrac {70}{14}}[/tex]

[tex]{:}\longrightarrow\tt t=5 [/tex]

[tex]\therefore\sf t=5 [/tex]


Related Questions

6(-12+5)-3(-12) Help solve with work please.

Answers

Answer:

-6

Step-by-step explanation:

6 into -7 + 36

-42+36=-6

Answer:

Step-by-step explanation:

steps are stated below

step 1

6(-12+5)-3(-12)  equation

step 2

6(-12+5)-3(-12)  simplify the equation

(6)(-7)−(3)(-12)

-42-(3)(-12)

step 3

-42-(3)(-12)  times the number in the brackets

-42-(-36)

-6

The teacher is handing out note cards to her students. She gave 121 note cards to the first student, 144 note cards to the second student, 169 note cards to the third student, and 196 note cards to the fourth student. What kind of sequence is this?

Answers

Answer: repeated addition i think

Step-by-step explanation:

Every school day Dylan writes the school bus 4.79 mi round trip between home and school estimate the total distance Dylan wrote the school bus last month when there were 21 school days writing a question a model of your work

Answers

Answer:

[tex]100.59\ \text{miles}[/tex]

Step-by-step explanation:

The distance traveled by Dylan every day is 4.79 miles

Let the number of days he went to school be [tex]x[/tex]

Distance traveled by Dylan in a month is given by

[tex]y=4.79x[/tex]

Total number of days Dylan went to school last month is 21

The distance traveled by Dylan last month was [tex]y=4.79\times 21=100.59\ \text{miles}[/tex]

this one please if you can​

Answers

1.Given, x={p,q}.

Now, possible subsets of x are ϕ,{p},{q},{p,q}.

2.if A = fa b, c. d, e and B of a, e, i, o, u. list the elements of B - A and also show it in a venn diagram by

shading

hope it helps

merryyyy Christmassss

happy holidays

have a great day/night

You should mark them brainliest

Alice's mother wants to wallpaper two adjacent walls in Alice's bedroom. She also wants to put a border along the top of all four walls. The bedroom is 9 ft by 12 ft by 8 ft high. A) If each double roll covers approximately 60 fr and the wallpaper is sold in double rolls only, how many double rolls are needed? B) If the border is sold in rolls of 5 yd each, how many rolls of the border are needed?

Answers

Answer:

A) The number of wallpapers needed to cover the walls is 6 double roll wall papers

B) The number of wall paper border rolls needed is 3 rolls

Step-by-step explanation:

A) The given parameters are;

The dimensions of the room are 9 ft. by 12 ft. by 8 ft. high,

The area one double role wallpaper covers = 60 ft.²

Therefore, we have;

The area of the room wall = 12 × 8 × 2 + 9 × 8 × 2 = 336 ft²

The number of double rolls of wallpaper to be used = Area of wall/(area of wallpaper) = 336/60 = 5.6

Therefore, given that the wall papers are sold in single units, we round up to the next whole number of units to get;

The number of wallpapers needed to cover the walls = 6 double roll wall papers

B) The borders of a wallpaper are installed parallel (and installed along) to the ceiling line

Therefore, the amount of wallpaper border required is given as follows;

Wall paper border length required = 2 × Length of the room + 2 × Width of the room

∴ Wall paper border length required = 2 × 9 ft. + 2 × 12 ft. = 42 ft.

The size of each wall paper border sold = 5 yd. = 15 ft.

Therefore;

The number of wall paper border rolls required = 42 ft./(5 yd.) = 42 ft./(15 ft.) = 2.8 rolls

Therefore, we round up to get the number of wall paper border rolls needed as 3 rolls of wall paper borders.

What is the quotient?

Answers

5 7/9 is the answer

hope u understand this

What is the factored form of the binomial expansion x3 − 27x2 + 243x − 729?
(x – 3)3
(x – 3)4
(x – 9)3
(x – 9)4

Answers

Answer:

C

Step-by-step explanation:

(x-9)3 on edge

Find the third side in simplest radical form:

Answers

Answer:

x = √143

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify

We are given a right triangle

Step 2: Define variables

Leg a = 1

Leg b = x

Hypotenuse c = 12

Step 3: Solve for x

Substitute:                              1² + x² = 12²Isolate x term:                        x² = 12² - 1²Exponents:                             x² = 144 - 1Subtract:                                 x² = 143Isolate x:                                 x = √143

Y=-3x+3
Fill in the table using this function rule.
X. Y
-1. _
-2. _
0. _
1. _
2._
3._
4._

Answers

-1, 6
-2,9
0,3
1, 0
2,-3
3,-6
4, -9
The first one is 6
The second is 9
The third is 3
The fourth is 0
The fifth is -3
The sixth is -6
The last is -9

The diagram shows a plan for fencing off a section of a public park to make a dog park. A wall that separates the park from a highway will form one side of the dog park. The other 3 sides, shown as dotted lines, will be fenced. How much fencing is needed to make the dog park?

Answers

Where’s the diagram?

Answer:

i dont see the diagram

Step-by-step explanation:

help pleasee due todayyy ! :(

Answers

Answer:

1. $434

2. 36 ways

Step-by-step explanation:

1. 350×6÷100=21

21×4=84

84+350=434

The equation is x+2y=20
Rearrange the equation for y.

Answers

Answer:

2y=20-x

y=20-x/2

y=10-x/2

Step-by-step explanation:

Help me please



Order the ratios from least to greatest:

9/4; 5 to 2; 13:6; 10/3; 20:7

Use a semi-colon to separate each ordered ratio.


Order the ratios from least to greatest:
5:16; 3/8; 2 to 6; 4/15; 12:40
Use a semi-colon to separate each ordered ratio.

Answers

Answer:

To establish a ratio relation you must see the difference hence 9:4 =2.25So 2.25, 2.5, 2.11, 3.33, 2.85

From least to greatest:

13:6 ; 9:4 ; 5:2 ; 20:7 ; 10:3

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What is the multiplicative identity of -12/13

A.-13/12

B.1

C.0

D12/13

Answers

Answer:

The number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.

Therefore, option (B) is true.

Step-by-step explanation:

We know that when a number let say 'n' get multiplied by '1', it remains unchanged.

i.e.

n × 1 = n1 × n = n

The number '1' is called the 'multiplicative identity' of a number 'n' because it does not change the number 'n' after getting multiplied by it.

Given the number

-12/13

Multiply the number '-12/13' by '1'.

i.e.

-12/13 × 1 = -12/13

1 × -12/13 = -12/13

Thus, the number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.

Therefore, option (B) is true.

I need help!!!! Need the answers now please!!

Answers

Answer:

Answer of this equation is (x-2)^2/ (X+3)^2

Step-by-step explanation:

x^2-4/X+3 × x-2/ x^2+5x+6

(X+2)(x-2) / X+3 × x-2/ x^2+(2+3)X+6

(X+2)(x-2)/X+3 × x-2/(X+2)(X+3)

(x-2)(x-2)/(X+3)(X+3)

(x-2)^2/(X+3)^2

How can you find the diameter and radius if you know the circumference.

Answers

Answer:

If we say the circumference is 1600 pi, and this is equal to pi times the diameter, we can just divide both sides by pi to get the diameter, which is going to be 1600.

Step-by-step explanation:

Circles are all similar, and "the circumference divided by the diameter" produces the same value regardless of their radius. This value is the ratio of the circumference of a circle to its diameter and is called π (Pi).

help and ill give brainliest

Answers

Answer:

10

Step-by-step explanation:

The band gets 1/2 of the total amount of water. The total amount collected is twice as much as what the band gets. Multiply 5 by 2 to get 10

Brainliest Please

Happy Holidays

please help i have to get this all done by tommorw

Answers

the equation is already in slope intercept form. the line is solid. shaded direction is under the line.

Hurry! might mark brainliest! what is this in slope-intercept form?

Answers

Y=2/3x

The y-intercept is zero, and the slope is 2/3

The expression (2x^4)^2(5x)^3 can be written equivalently as

Answers

Answer:

500 x^11

Step-by-step explanation:

Answer:

500x^11

Step-by-step explanation:

Using PEMDAS first get rid of parenthesis

(2x^4)^2 is the same as 2x^4 * 2x^4 or 4x^8

(5x)^3 is the same as 5^3 * x^3 or 125x^3

multiply the two together, remember exponents on like terms add together

125*4 = 500

x^8 * x^3 = x^11

multiply together

500x^11

please give thanks :)

jrbrbhrferfeerjfklebiviebvewb bpqib iqbepib phqb ehb piqebj f hbwflvfuyfe

Answers

Answer:

Ghjurdvbjkhffgjiojjjggdtj

Step-by-step explanation:

what is the measure of ABC?

Answers

Answer:

B

Step-by-step explanation:

The angle at the centre is equal to the arc that subtends it , thus

∠ ABC = arc AB = 75° → B

The correct answer is choice B

Alyssa starts with $40 and saves $10 each week. Bill has $24 and saves $12 each week. For numbers 5a. – 5c., determine whether each statement is True or False. Write "True" or "False" for each statement. a. Bill will never have more money than Alyssa. b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings. c. Alyssa and Bill will have the same amount of money at Week 6.

Answers

Answer: See explanation

Step-by-step explanation:

Alyssa starts with $40 and saves $10 each week. This can be written as:

= 40 + 10x

Bill has $24 and saves $12 each week. This can be written as:

= 24 + 12x

where, x = number of weeks

a. Bill will never have more money than Alyssa.

False.

From the 9th week, Bill will have more money than Alyssa. To check goes below.

Alyssa = 40 + 10x = 40 + 10(9) = 40 + 90 =$130

Bill = 24 + 12x = 24 + 12(9) = 24 + 108 = $132

b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings.

False.

Bill savings can be represented by:

= 24 + 12x

where, x = number of weeks

c. Alyssa and Bill will have the same amount of money at Week 6.

False.

Alyssa = 40 + 10x

= 40 + 10(6)

= 40 + 60

= $100

Bill = 24 + 12x

= 24 + 12(6)

= 24 + 72

= $96

I know this is simple, but I’m having trouble. Can you help me?

A plastics stock dropped 1 1/4 points every day of a 5-day business week. How many points did the stock drop that week?

Answers

Answer:

That will be 1/14 points

Step-by-step explanation:

Answer:   6 & 1/4 points

==============================================

Work Shown:

1/4 = 0.25

1 & 1/4 = 1 + 1/4 = 1 + 0.25 = 1.25

The stock dropped by 1.25 points each day for 5 days

It dropped a total of 5*1.25 = 6.25 = 6 & 1/4 points.

------------

Alternative method:

5*(1 & 1/4) = 5*(1 + 1/4)

5*(1 & 1/4) = 5*1 + 5*(1/4)

5*(1 & 1/4) = 5 + 5/4

5*(1 & 1/4) = 5*(4/4) + 5/4

5*(1 & 1/4) = 20/4 + 5/4

5*(1 & 1/4) = (20+5)/4

5*(1 & 1/4) = 25/4

5*(1 & 1/4) = (24+1)/4

5*(1 & 1/4) = 24/4 + 1/4

5*(1 & 1/4) = 6 + 1/4

5*(1 & 1/4) = 6 & 1/4

We get the same answer as before.

- 2(5 + 5x) = 100
show work​

Answers

Answer:

-10-10x=100

-10x=100+10

-10x=110

x=-11

Step-by-step explanation:

Answer:

-2(5+5x)=100

-10-10x=100

-10x=110

x=-11

Step-by-step explanation:

:)

A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a regular basis. Of the customers who get their hair cut, 24% also get their hair colored. What is the probability that a randomly selected customer gets their hair cut and colored?

Answers

Answer:

0.35

Step-by-step explanation:

The probability that a customer gets a hair cut and also gets a hair colored is 0.2088

What is probability?

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here: The probability of customers getting a haircut is 87% and the probability that the customers that have a haircut also get their hair colored are 24%

Thus the conditional probability that a customer who has a hair cut also gets his hair colored is

P( haircut/hair colored )= 87%×24%

                                      =0.87×0.24

                                      =0.2088

Hence, The probability that a customer gets a hair cut and also gets a hair colored is 0.2088

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

What are the answers here?

Answers

Answer:

x

Step-by-step explanation:

y interspect x

pls help meh ill give brainliest i gave it before so why not middle school math

Answers

Answer:

1800

Step-by-step explanation:

suppose the initial cost to be x

it was increased by 6.5%

so, since the price increased is 117

117=6.5% of x

117=(6.5/100) . x

117 . 100=6.5 x

x=11700/6.5

x=1800

18/3=?/1 what's the missing unit rate​

Answers

Answer: 6

Step-by-step explanation:

Answer:

it's equal to 6/1!!

Step-by-step explanation:

if abcd is dilated by a factor of 1/3 the coordinate of A would be?

Answers

Answer:

A' = (-1, -1)

Step-by-step explanation:

Rule for the dilation of any point A(x, y) about the origin by a factor of k is given by the rule,

A(x, y) → A'(kx, ky)

From the graph attached,

Coordinates of point A are (-3, -3) and it is dilated by a scale factor of [tex]\frac{1}{3}[/tex] about the origin then the coordinates of the image point A' will be,

A(-3, -3) → [tex]A'(-3\times \frac{1}{3},-3\times \frac{1}{3})[/tex]

             → A'(-1. -1)

Therefore, coordinates of A' = (-1, -1) is the answer.

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