Solve the equation
1/2(2x + 2)-1/4(3x - 1) = 15
A. X = 1.4
B. X = 6.7
C. X = 10
D. X = 55

Answers

Answer 1

Answer:

D

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] (2x + 2) - [tex]\frac{1}{4}[/tex] (3x - 1) = 15

multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

2(2x + 2) - (3x - 1) = 60 ← distribute parenthesis and simplify left side

4x + 4 - 3x + 1 = 60

x + 5 = 60 ( subtract 5 from both sides )

x = 55


Related Questions

Determine the number of ways she can arrange her daily schedule.

Answers

Answer:

This can be found by using the permutations and combinations formuals.

Combinations being the C equation and Permutations being the P equation.

[tex]P(n,r)=\frac{6!}{(6-6)!}=720[/tex]

Explanation:

A permutation is used for the list of data (where the order of the data matters) and the combination is used for a group of data (where the order of data doesn't matter).

The diagram is a floor plan for a new building. Find the perimeter.

Answers

Answer:

154

Step-by-step explanation:

the perimeter is the summation of all the sides of the plane. so

15 + 14 + 20 + 9 + 15 + 13 + 50 + 18 = 154

i think this is ✅

Using the labelled size of segments, the perimeter of the given figure is 154 units. Hence, the fourth option is true.

Use the concept of perimeter defined as:

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

According to the figure,

The perimeter of the given building is the sum of the lengths shown in the figure.

18 + 15 + 14 + 20 + 9 + 15 + 13 + 50 = 154.

Hence,

The required perimeter is 154 units, which is option fourth.

To learn more about perimeter visit:

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When alicia makes oat biscuits she uses syrup, butter and oats in the ratio 1:2:4.
She says she has plenty of syrup but only 250g of butter and 440g of oats in her kitchen cupboard.
Alicia makes as many oat biscuits as she can with these ingredients.
How much of each ingredient does she use?

Answers

Answer:

110 g of syrup, 220 g of butter and complete 440 g of oats.

Step-by-step explanation:

#hope it helps

Which of the following numbers is not divisible by any positive integer except 1 and itself? A. 41 B. 49 C. 51 D. 57 E. 91​

Answers

Answer:

A. 41 (it is a prime number)

What is the formula of alpha
square multiply beta square?

Answers

Answer:

Answer. (alpha + beta ) ^2 - 2 × alpha×beta

please mark me as brainlist

At an internet cafe, there is a flat fee to log into a computer and an additional charge for each minute on the computer. The fee (in dollars) for using Mac for x minutes is given by M=0. 5+0. 07 x

Answers

The awnser for the question is 3

Please help me this is 100% urgent
*urgent*

Answers

Answer:

D

Step-by-step explanation:

[tex]3(5z-3) = 15z -9[/tex]

Answer:

D. 15x - 9 and 3(5z - 3)

Step-by-step explanation:

5(5c + 4)

distribute 5 to each term:

25c + 4

25c + 4 ≠ 10c + 20 | not equivalent

____________________

3(4e - 2)

distribute 3 to each term:

12e - 6

12e - 6 ≠ 7e - 5 | not equivalent

____________________

4(4h + 6)

distribute 4 to each term:

16h + 24

16h + 24 ≠ 16 + 24h | not equivalent

____________________

3(5z - 3)

distribute 3 to each term:

15z - 9

15z - 9 = 15z - 9 | equivalent

Therefore, option D is the correct answer.

hope this helps!

Solve the equation on the interval [0,2π).

8cos^2x+4cosx=0

Select all correct solutions.
0
π/3
π/2
2π/3
π
4π/3
5π/3
3π/2
11π/6

Answers

Answer:

π/2, 2π/3, 3π/2, 4π/3.

Step-by-step explanation:

8cos^2x+4cosx=0

4cosx(2cosx + 1) = 0

so cosx = 0, -1/2.

Therfore

When cos x = 0:

x = π/2, 3π/2

When cos x = -1/2:

x = 2π/3, 4π/3.

Answer:

π/22π/34π/33π/2

Step-by-step explanation:

TTT

You have a Circle with a Radius of 3.5 what is the Radius?​

Answers

The radius of circle is 3.5 only

$456 is divided between the telephone and electricity bills in a ratio of 2 : 1. What amount goes to the telephone bill?

Answers

$304 is the answer because 456/3 and then multiply by 2


Is the point (3,4) a solution to 3x+y=13 and x-7=7

Answers

(3,4) Is not a solution from 3x+y=13 and x-7=7

If I make $50 very two weeks, how much will I make in 31 days.

Answers

Answer:

$110.71

Step-by-step explanation:

31 Days has 4 weeks and 3 days

4 weeks is 2 weeks twice meaning 100$

The three extra days would be 3/14 of 50$ which is $10.71

Therefore, the answer is $110.71

Answer:

$110.67

Step-by-step explenation

First find how much you make every day.

To do that, divide $50 by 14 days which is $3.57 per day.

Next, multiply $3.57 by 31 days which is $110.67


.
.

The mean for the data in the dot plot is 5. What is the

absolute deviation for the data point at 7?

2

2.

3

4

5

6 7

8

Answers

Answer:The mean for the data in the dot plot is 5. What is the

absolute deviation for the data point at 7?

2

Step-by-step explanation:

Aisha is ordering a taxi from an online taxi service. She has to pay a flat charge just to
order the taxi, and then has to pay per mile, depending on how far she travels. She
wrote an equation to represent her total cost, y = 2.8x + 2, where y represents the
total cost in dollars and cents, and a represents the number of miles she travels,
What could the number 2 represent in the equation?

Answers

Answer:

The flat charge

Step-by-step explanation:

The number 2 could represent the flat charge in the equation because a flat charge never changes. In the equation, the 2 (y-intercept) is the only term that does not change. The value of 2.8x depends on what the value of x is, and the value of y depends on what the value of 2.8x + 2 is. Therefore, 2 could represent the flat charge in the equation.

can someone help me pls im really confused???

Answers

Hello I am here to help!
150 miles is 241.402 kilometers

2) Rachel wanted to drink exactly three bottles of water each day, so she bought twenty-six
bottles when they were on sale. How many more bottles will she need to buy on the last
day?

Answers

Answer:

1

Step-by-step explanation:

Twenty-Six is not a multiple of three so you know it won't be 26. Counting by threes goes 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. Twenty-seven is the closest number to 26 which is higher than 26. Twenty-six + 1 = 27. That means that 1 is the answer.

Answer:

1 bottles and the last day

welcome back to another brainiest fair you be ask 1 question and if you get it right you get a glorious brainiest like the other people coming up today is...........

Answers

Answer:

Sleet

Step-by-step explanation:

Sleet falls as ice pellets.

the answer is sleet

hope it really helps...!!!

Please I need help it's do tonight

Answers

Answer:

use g o og le

Step-by-step explanation:

first, look then there are no options then use brain

GIVING BRAINLIEST TO WHOEVER CAN GIVE THE RIGHT ANSWER

Answers

Answer:

B ∪ C =  (-∞, ∞)

B ∩ C = [1, 7)

Step-by-step explanation:

B ∪ C:  The union of two sets or intervals is the set of elements which are in either set.  

B ∩ C:  The intersection of two sets or intervals is the set of elements which are in both sets.

Interval notation symbols

Square brackets [ ]: both endpoints are included in the set.

Round brackets ( ): both endpoints are excluded in the set.

Round, square ( ]: left endpoint is excluded and right endpoint is included in the set.

Square, round [ ): left endpoint is included and right endpoint is excluded in the set.

Given:

B = {z | z ≥ 1}C = {z | z < 7}

Therefore,

B = [1, ∞)

C = (-∞, 7)

Therefore,  B ∪ C =  (-∞, ∞)

As z is either less than 7, or equal to or more than 1 then the intersection is:

B ∩ C = {z | 1 ≤ z < 7} = [1, 7)

Answer:

See below ~

Step-by-step explanation:

B ∪ C = {∞}As all numbers will be included, the union of the sets is equal to all real numbers (infinity)B ∩ C = {1, 2, 3, 4, 5, 6}Only the numbers that are greater than or equal to 1, but less than 7

will give brainliest to first answer+20pts
In the figure shown, what is the measure of angle x?

Triangle ABC has measure of angle BAC equal to 30 degrees and the measure of angle ABC is equal to 75 degrees. The side BC of the triangle is extended till D. The angle ACD is labeled as x.

Answers

Answer:

105

Step-by-step explanation:

First find the third angle inside the triangle:

180 - 30 - 75 = 75

Then find x:

180 - 75 = 105

please help me I will give BRAINLY , 5 STARS and a THANKS

Answers

Answer:

By simplifying the expression we get

4/3

4/3 or in simplest form 1 1/3 or in decimal form 1.3

the sum of a two digit number is 8 if the digits are reversed the number is increased by 54 what is this number?

Answers

Answer:

26

Step-by-step explanation:

2 + 6 = 8

62 - 8 = 54

guess and check

HELP PLEASE WILL MARK BRAINLIEST

Answers

Answer:

Wyatt must get a score of 150 on Exam B in order to do equivalently well as he did on Exam A.

Step-by-step explanation:

Let's calculate the test statistic of each score based on the mean and standard deviation of each test.

This statistic will show us how far from the mean, measured in standard deviations, Wyatt's test score is.

The formula for the test statistic is:

[tex]\displaystyle Z = \frac{x- \mu}{\sigma}[/tex] x = observed value[tex]\mu[/tex] is the population mean [tex]\sigma[/tex] is the population standard deviation

Let's calculate the test statistic for each test.

Exam A:

[tex]\displaystyle Z = \frac{45-35}{5} = \frac{10}{5}= 2[/tex]

Exam B:

[tex]\displaystyle Z = \frac{x-100}{25}[/tex]

Since we want the test statistic to be the same for both exam A and exam B, let Z = 2 and solve for x for Exam B.

[tex]\displaystyle 2 = \frac{x-100}{25} \\ 50 = x - 100 \\ x = 150[/tex]      

Wyatt must get a score of 150 on Exam B in order to do equivalently well as he did on Exam A. This score means that Wyatt is 2 standard deviations from the mean score on Exam B as he scored on Exam A.

Which transformation was applied to ABC to transform it to DEF?

Answers

Answer:

So the Answer will be D.

Step-by-step explanation:

Cuz if you look it up online it will give you words or maybe links that youu shouldn't look at cuz they don't really give it to you.  It shows that ''A rotation turns each point on the preimage a given angle measure around a fixed point or axis. Each point on triangle ABC is rotated 45° counterclockwise around point R, the center of rotation, to form triangle DEF.'' So indee that D. is right. (I am only 11 and i am helping lol)

pls help
Scale Drawings
Wendell is designing the layout of the backyard behind his new home. He wants to build a dog house and add some flower gardens.
In the following tasks, you will help Wendell create a scale drawing of his backyard to help him plan the location and size of the dog
house and gardens. The provided sketch is not drawn to scale, but it does give the actual dimensions of the lawn in feet. The
backyard is a trapezoid-the west side is perpendicular to both the north and south sides, and the deck is a rectangle.
50
W
E
Lawn
28
35
S
10
Deck 8
71
Part A
If Wendell creates a scale drawing using the scale 1 inch to 10 feet, what will the dimensions of the deck in the scale drawing
be?
B Ị Ụ xỉ X
15px
A E
Z4

Answers

[tex]\bold{FULL ANSWERS:}[/tex]

I AM CONFUISED I ONLY GOT 1 MIN TIL MY COMPUTER DIES!!!!
(This only has 1 answer)
You owe some friends $25 and pay them back $18. Which number sentence shows this situation?

25 + 18
-25 + 18
-25 + (-18)

Answers

Answer:

-25 + 18

Step-by-step explanation:

its the last one :) good luck !!

Find the value f x,
[tex]7x-\left(x-12\right)=32-4x[/tex]

Answers

Answer:

x = 2.

Step-by-step explanation:

7x - (x - 12) = 32 - 4x    Distributing the negative over the parentheses:-

7x - x + 12 = 32 - 4x      Bringing like terms together:-

7x - x + 4x = 32 - 12       Simpifying:

10x = 20

x = 2.

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

In order to solve for the variable [tex]x[/tex], simply move all terms with the variable to one side and all constants to the other. [tex]7x-(x-12)=32-4x[/tex] => [tex]7x-x+12=32-4x[/tex] => [tex]6x+12=32-4x[/tex] => [tex]10x=20[/tex] => [tex]x=2[/tex].

You can check this answer by plugging it back into the equation as a substitute for the variable. [tex]7(2)-(2-12)=32-4(8)[/tex] => [tex]14-(-10)=32-8[/tex] => [tex]24=24[/tex], since the equation is true, this proves that x = 2 is the correct answer.

Solve the following

Answers

Your answer here is Exact Form:
x
=
33
2
x
=
33
2
Decimal Form:
x
=
16.5
x
=
16.5
Mixed Number Form:
x
=
16
1
2
Be

ABF = EDG. GCF are equilateral. AG = 21 and CG 1/4 Find the total distance from A to B to C to D to E.

A. 112
B. 98
C. 84
D. 28​

Answers

The information given in the triangle shows that the total distance from A to B to C to D to E will be C. 84.

How to calculate the triangle?

From the information given, ABF = EDG, GCF are equilateral and AG = 21 while CG = 1/4.

The total distance from A to B to C to D to E will be:

= 21/CG

= 21 / 1/4

= 21/0.25

= 84

In conclusion, the correct option is 84.

Learn more about triangles on:

https://brainly.com/question/17335144

When an event takes place, one outcome is equally as likely to occur as it is to not occur. Which value could represent the probability that the
outcome does not occur?
0
0.2
0.5

Answers

Answer:

0.5

Step-by-step explanation:

If an event is equally likely to occur as it is not to accur, then it's 50% and 50%, which it's the same as 0.5

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