Solve for x.


−2(x+1/4)+1=5​

Answers

Answer 1

Answer: The answer to this is x= -9/4

Answer 2

Answer:

[tex]\boxed {x = - \frac{9}{4}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex] :

[tex]-2(x + \frac{1}{4}) + 1 = 5[/tex]

-Use Distributive Property:

[tex]-2(x + \frac{1}{4}) + 1 = 5[/tex]

[tex]-2x + \frac{-2}{4} + 1 = 5[/tex]

-Reduce the fraction [tex]\frac{-2}{4}[/tex] to the lowest terms by canceling out [tex]2[/tex] :

[tex]-2x + \frac{-2}{4} + 1 = 5[/tex]

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

- Convert the integer [tex]1[/tex] to [tex]\frac{2}{2}[/tex] :

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

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

-Since both fractions [tex]-\frac{1}{2}[/tex] and [tex]\frac{2}{2}[/tex] have the same denominator, you add the numerators together:

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

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

-Change the integer [tex]5[/tex] to [tex]\frac{10}{2}[/tex] and subtract [tex]\frac{1}{2}[/tex] on both sides. Then, when both fractions have the same denominator, you subtract them, by subtracting the numerators:

[tex]-2x + \frac{1}{2} - \frac{1}{2} = \frac{10}{2} - \frac{1}{2}[/tex]

[tex]-2x = \frac{9}{2}[/tex]

-Divide by Multiplying [tex]2[/tex] and [tex]-2[/tex] :

[tex]\frac{-2x}{-2} = \frac{9}{2 (-2)}[/tex]

[tex]x = \frac{9}{-4}[/tex]

-Rewrite the answer:

[tex]x = \frac{9}{-4}[/tex]

[tex]\boxed {x = - \frac{9}{4}}[/tex]


Related Questions

Solvefor x. x+3/5 =2

Answers

Answer: x=7/5 or 1 2/5

Step-by-step explanation:

Given

x+3/5=2

Subtract 3/5 on both sides

x+3/5-3/5=2-3/5

x=10/5-3/5 (This is to convert 2, as a integer, to a fraction in order to ease the                  

x=7/5          operation)

Which shows two expressions that are equivalent to (Negative 7) (Negative 15) (Negative 5)?

(Negative 7) (Negative 75) and (Negative 1) (525)

(Negative 1) (525) and (35) (Negative 15)

(35) (Negative 15) and (115) (negative 5)

(Negative 1) (525) and (115) (negative 5)


PLZZZZZZZZZZZZ HELPPPPPPPPPPPP!

Answers

Answer:

(-1)(525) and (35)(-15)

Step-by-step explanation:

Answer:

(-1)(525) and (35)(-15)

Step-by-step explanation:

Why is it difficult to solve Ben and Jeff’s age problem by drawing a diagram?

Answers

Answer:

because youu are doing ages not other stuff that u use with diagrams

Step-by-step explanation:

squaring a number is raising that number to a power of

Answers

Step-by-step explanation:

2

Example, 2*2=2^2

Hope it helped❤️

Answer:

to the power of 2

for example you can be asked to find the square number of 5 which is the same as 5²= 25

Find the slope of the line that passes through (10, 4) and (7, 12)

Answers

Answer:

2

Step-by-step explanation:

Which expression is equivalent to this polynomial expression? (2a – 36)(2a2 + 662) + (6a26 + 12a62 – 783)​

Answers

Answer:

1.  Look for factors that each term has in common.

    They all have a "b" so factor that out.

    a2b + 2ab - 8b = b(a2 + 2a - 8)

2.  Factor the remaining polynomial.

     Factors of -8 that add to 2 are 4(-2)

     a2 + 2a - 8 = (a+4)(a-2)

Final answer:  b(a+4)(a-2)

Step-by-step explanation:

Factor the numerator of the function H(x) =(x^2-3x-4)/(X-4). What do you notice about the numerator and denominator of the function?

Answers

Answer:

(x-4)*(x+1)/x-4

x≠4

Step-by-step explanation:

A publisher needs to send many books to a local book retailer, and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 45 books. How many books could be shipped using 5 small boxes and 7 large boxes? How many books could be shipped using s s small boxes and l l large boxes?

Answers

Answer:

a, [tex]Books = 315[/tex]

b, [tex]Total = 20s + 45l[/tex]

Step-by-step explanation:

Given

[tex]Small\ Box = 20[/tex]

[tex]Large\ Box = 45[/tex]

Solving (a): Books using 5 small and 7 large boxes;

This is calculated as follows

[tex]Books = Size * quantity[/tex]

For Small box

[tex]Books = 20 * 5[/tex]

[tex]Books = 100[/tex]

For large box:

[tex]Books = 45 * 7[/tex]

[tex]Books = 315[/tex]

[tex]Total = 100 + 315[/tex]

[tex]Total = 415\ books[/tex]

Solving (b): s small and l large

We use the same concept as (a) above:

For Small Box

[tex]Books = 20 * s[/tex]

[tex]Books = 20s[/tex]

For large box

[tex]Books = 45 * l[/tex]

[tex]Books = 45l[/tex]

[tex]Total = 20s + 45l[/tex]

The equation y=0.75x + 0.4y=0.75x+0.4 models the number of millimeters of water,y, in a test tube x minutes after a chemical process has been started. How many millimeters of water is in the test tube after 20 minutes?

Answers

Answer:

after 5 mins y=1

after 15 y=3

after 20 y=4

Step-by-step explanation:

Can you have an 'All Real Numbers' solution for inequalities? If so, give an example.

Answers

Answer:

yes

Step-by-step explanation:

x+7>x+3

Calculate the length of segment RS¯ with midpoint, M, if RM=5x and MS=x+12.

Answers

Answer:

So M is the midpoint of RS lmbo

Step-by-step explanation:

What you have here are lengths of two equal segments, expressed as different algebraic expressions.

you just set those two expressions equal, and solve for x.  Then plug that x into EITHER of the two expressions, to get the equal lengths of RM & MS.

Name the relationship

Answers

Answer:

complementary

Step-by-step explanation:

complementary angles are two angles that can be added together to get 90°. as indicated by the small red square, the sum of the two angles is a right angle which means its equal to 90°.

please help................​

Answers

Answer:

so [tex]2^{8}[/tex] equals 2x2x2x2x2x2x2x2

Step-by-step explanation:

Its that because when expanding Exponents, you always put the first number of the exponet first. like for example, [tex]3^{2}[/tex] , you put the three 2 times and multiply. 3x3

A dance academy charges $24 per class and a one-time registration fee of $15. A student paid a total of $687 to the academy. Find the number of classes the student took.

Answers

Answer:

The student took 28 classes.

Step-by-step explanation:

687-15=672

672/24=28

During 7 1/2 months of hibernation, a black bear experienced a weight loss of 64.4 pounds.

On average, what was the bear’s weight change per month? Round to the nearest tenth. Enter your answer in the box
pls help me
i need the answer asap
Thank you

Answers

Answer:

8.6

Step-by-step explanation:

what is the cash payment of bill amounting rs 800 after allowing a discount 5%​

Answers

________________________________

Question:

what is the cash payment of bill amounting rs 800 after allowing a discount 5%?

________________________________

Given:

→D%=5%

→Amount=₹800

________________________________

Part 1:

To find discount:

step 1:

[tex] \frac{800}{100} \times 5[/tex]

step 2:

[tex] = 8 \times 5[/tex]

step 3:

[tex] = 40 [/tex]

Formula used→diacount=(D% ×Cp)÷100

________________________________

Part 2:

To find cash payment:

step 1:

[tex]800 - 40[/tex]

step 2:

[tex]760[/tex]

formula used :Sp =total amount-discount

________________________________

Final answer:760

hope it helped you:)

Daryl has a total of 120 national football league (NFL) trading cards from both the American football conference(AFC) and the national football conference (NFC). The number of AFC cards is 5 more than four times the number of NFC cards . Which system of equations can be used to find how many AFC cards, A and NFC cards,N, Daryl has?

Answers

Answer:

A = 4N + 5

A + N = 120

Step-by-step explanation:

Given that

A = Number of AFC cars

N = Number of NFC cards

And, Total cards is 120

Now

the equation would be

A + N = 120

Also

The number of AFC is 5 more than 4 times the number of NFC cards

So,

A = 4N + 5

Therefore

A = 4N + 5

A + N = 120

Hence, the system of equations that should be used is A = 4N + 5 and A + N = 120 respectively

which equation correctly shows the absoulte vaule of -8

Answers

Answer:

|-8|=8

Step-by-step explanation:

Answer:

What are the equations? The answer would be 8.  Its A

Step-by-step explanation:

A maximum number of 25 translating inequalities

Answers

Answer:

  n ≤ 25

Step-by-step explanation:

If n represents "a number", then "a number is a maximum of 25" translates to ...

  n ≤ 25 . . . . . a number is less than or equal to 25

Plss answer quick!!

Answers

Answer:

B

No Step-by-step explanation:

Answer:

C

Step-by-step explanation:

c has te same angle and degrees as 3 plz mark brainist and rate

the volume of the truck is 162 yards. To find how many cubes will fit in each dimension, divide that length by the side of the cube

Answers

Answer:

180 cubes would be fit inside the truck

Step-by-step explanation:

well we know 1 cube is 1/10 of a yard

so let’s make it a easier number and say 10 cubes is 1 yard (you multiply 10 on each side, as long as you multiply the same number, which can be any number but I use 10 since it’s easier, on both sides, it’ll be the same thing.

so 162/10=16

So 16, 10 cubes si we multiply those two and you’ll get 160.

But there’s 2 yards not filled yet, we know that 1 yard is 10 cubes, so 2 yards would be 20 cubes.

so 160+20=180

180 cubes

Answer:

This is my alt so here ya go the answers 180

Step-by-step explanation:

Im the. Other dude

hey could someone help me please two angles in a triangle are 40 and 95. list two exterior angles

Answers

two exterior angles for those angles would be 140 and 85

What’s the answer????

Answers

Hey bro when I did I was

Solve the proportion for X.

3X 120
----- = ------
24 192

Answers

Answer:

x = 5

Step-by-step explanation:

There are two possible ways to look at this equation, but each way the answer is the same

first

(3x / 24) = (120 / 192)

solve using cross products

24 * 120 = 3x * 192

2880 = 576 x

/ 576     /576

5 = x

second

(3x / 120) = (24 / 192)

solve using cross products

3x * 192 = 24 * 120

576 x = 2880

/576      /576

x = 5

what list shows the numbers below in order from least to greatest?

Answers

Answer: the last one

Step-by-step explanation:

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz answer!

Answers

Answer:

The third one(-20+(n-1)*)

Step-by-step explanation:

It's correct because when you plug in one of the numbers in the list, it makes the equation equal. Example Below.

n=4

n=-20+(n-1)8

4=-20+(4-1)8

4=-20+3*8

4=-20+24

4=4

how to solve this sum with detailed explaination​

Answers

Answer:

A = (- 1, 0 ) and B = (4, 0  )

Step-by-step explanation:

Given

y = x² - 3x - 4

To find the x- intercepts, let y = 0, that is

x² - 3x - 4 = 0

Consider the factors of the constant term (- 4) which sum to give the coefficient of the x- term (- 3)

The factors are - 4 and + 1 , since

- 4 × 1 = - 4 and - 4 + 1 = - 3, thus

(x - 4)(x + 1) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4 ⇒ point B

x + 1 = 0 ⇒ x = - 1 ⇒ point A

As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. For this sample, X = 396 and S = 100. Using the sample standard deviation as an estimate for the population standard deviation, what size sample should the director choose if she wishes to estimate the

Answers

This Question is Incomplete

Complete Question

As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. For this sample, X = 396 and S = 100. Using the sample standard deviation as an estimate for the population standard deviation, what size sample should the director choose if she wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with 99% reliability, what size sample should she choose?

Answer:

Sample size n = 16

Step-by-step explanation:

We use the formula for Margin of Error for the question

Margin of Error = z × Standard deviation/√n

Margin of Error = 1

z score for 99% confidence interval = 2.576

Standard deviation = 100

1 = 2.576 × 100/√n

1 × √n = 257.6

√n = 257.6/1

n = √257.6

n = 16.049922118

Approximately = 16

Therefore, the sample size = 16

Solve using the quadratic formula: (Standard form 1st!)
2x^2-2x=24

Answers

Answer:

4, -3

Step-by-step explanation:

The quadratic formula is [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex].

When using the formula for both the negative and positive value of the sqrt, you will get:

x = 4, -3

in a standard deck of t2 playing cards, there are 4 aces, 4 kings, 4 queens, and 4 Jacks. All other cards have number values. the kings, queens, and Jack's are called face cards. You are dealt 2 cards in a sequence. calculate the probability of being dealt a 3 and then a 10. write your answer as a decimal to the nearest hundredth​

Answers

Answer:

0.01

Step-by-step explanation:

Assuming the deck is the national playing deck with 52 cards.

Your probability of getting a 3 from the entire deck is 4/52. This number is the same for 10.

To get the probability of pulling a 3 and a 10 afterwards, you must multiply these two fractions (you're expecting a lower percentage).

[tex]4/52 * 4/52 = 0.0059[/tex]

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