5 1/28=1/2p+5 4/7
Please help!!

Answers

Answer 1

Answer:

p = (-15)/14

Step-by-step explanation:

Solve for p:

5 + 1/28 = p/2 + 4/7 + 5

Put 5 + 1/28 over the common denominator 28. 5 + 1/28 = (28×5)/28 + 1/28:

((28×5)/28 + 1/28) = p/2 + 4/7 + 5

28×5 = 140:

140/28 + 1/28 = p/2 + 4/7 + 5

140/28 + 1/28 = (140 + 1)/28:

((140 + 1)/28) = p/2 + 4/7 + 5

140 + 1 = 141:

141/28 = p/2 + 4/7 + 5

Put each term in p/2 + 4/7 + 5 over the common denominator 14: p/2 + 4/7 + 5 = (7 p)/14 + 8/14 + 70/14:

141/28 = ((7 p)/14 + 8/14 + 70/14)

(7 p)/14 + 8/14 + 70/14 = (7 p + 8 + 70)/14:

141/28 = ((7 p + 8 + 70)/14)

Grouping like terms, 7 p + 8 + 70 = 7 p + (70 + 8):

141/28 = (7 p + (70 + 8))/14

70 + 8 = 78:

141/28 = (7 p + 78)/14

141/28 = (7 p + 78)/14 is equivalent to (7 p + 78)/14 = 141/28:

(7 p + 78)/14 = 141/28

Multiply both sides of (7 p + 78)/14 = 141/28 by 14:

(14 (7 p + 78))/14 = (14×141)/28

(14 (7 p + 78))/14 = 14/14×(7 p + 78) = 7 p + 78:

(7 p + 78) = (14×141)/28

14/28 = 14/(14×2) = 1/2:

7 p + 78 = 141/2

Subtract 78 from both sides:

7 p + (78 - 78) = 141/2 - 78

78 - 78 = 0:

7 p = 141/2 - 78

Put 141/2 - 78 over the common denominator 2. 141/2 - 78 = 141/2 + (2 (-78))/2:

7 p = (141/2 - (78×2)/2)

2 (-78) = -156:

7 p = 141/2 + (-156)/2

141/2 - 156/2 = (141 - 156)/2:

7 p = ((141 - 156)/2)

141 - 156 = -15:

7 p = (-15)/2

Divide both sides by 7:

p = ((-15)/7)/2

2×7 = 14:

Answer: p = (-15)/14


Related Questions

In a survey, 3 out of 20 students were left-handed. Based on this information, if 300 students were interviewed, how many of them could be expected to be left-handed?

Answers

Based on the information given, from the fraction, it can be noted that the number of left-handed people will be 45.

From the information given, it was stated that in the survey, 3 out of 20 students were left-handed.

Therefore, in a population of 300 people, the number of left handed people will be:

= 3/20 × 300.

= 3 × 15

= 45

There are 45 left handed people.

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May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?

Answers

Answer: 1 group 65 bananas

Step-by-step explanation: We want the same number of bananas as oranges so 65 is divisible by 5 which is 13 5s to make 65.

HELP!!!

The difference of x and 15 is 62.

Answers

Answer:

x=77

Step-by-step explanation:

x-15 = 62

x = 62 + 15

x = 77

x=77. I hope this helps.

help me please help me help

Answers

Answer:

18

Step-by-step explanation:

The question is pretty much asking to find the LCM of the denominators, which is the LCD, Least Common Denominator

First list out the two numbers, then list its multiples,

6: 6, 12, 18, 24

9: 9, 18, 27

since both of them have 18, and its the least, that is the LCD/LCM

Calculate the HCF of 8a³-27, 4a²-9 and 4a²-12a+9​

Answers

[tex] \: \: \: \: \: [/tex]

first add

(3a²-5a+5)+(a³-5a²+8)

=3a²-5a+5+a³-5a²+8

=a³-2a3a²-5a²+5+8

=a³-2a²+13

and now,

substract a³-2a²+13 from a²-4a²-9

=7a²-4a²-9-(a³+13)

=7a²-4a²-9-a³+2a²-13

= a³+7a²-4a²+2a²-9-13

=-a³+5a²-22

hope it helps

A restaurant is considering reducing its meal sizes, because it noticed many of its customers cannot finish their meals. The manager decided to weigh the left-over portion of the meals before putting them in to-go containers. The line plot displays the weights of the left-over portions of the meals. If the left-over portions are divided equally among the customers, how much food would each customer take home? Weight of Left-over Meals A. B. C. D.

Answers

Answer:

1/2

Step-by-step explanation:

You need to add all the fractions up to get 1/2 is what food the costumers brought home

Answer:

1/2

Step-by-step explanation:

i got it correct!!

PLEASE HELP ME

A rectangular plot of land is 90 ft long and 105 ft wide. On a map, the length is 3.6 in. Identify the width on the map.

Answers

Answer:

4.2 in

Step-by-step explanation:

90÷3.6 = 25

The plot of land is 25 times bigger than the map's scale. You have to divide 105 by 25 to get the same scale as the length (3.6 in.)

105÷25 = 4.2

Please give brainliest if that helped at all!

4.2 in I agree with you

Use each model to predict the life expectancy of residents of a country for which the average annual income is $80,000

Answers

The life expectancies of residents of a country for which the average annual income is $80,000 for the three models are 12309.9352, 172.2436 and 4828.1393

The life expectancies of the models are given as:

[tex]y =69.9352 + 0.1530\times (income)[/tex] --- model 1

[tex]y =4.2436 + 0.0021\times (income)[/tex] --- model 2

[tex]y =4.1393 + 0.0603\times (income)[/tex] --- model 3

Given that the average annual income is $80,000;

We simply substitute 80000 for income in the equations of the three models.

So, we have:

Model 1

[tex]y =69.9352 + 0.1530\times (income)[/tex]

[tex]y =69.9352 + 0.1530\times 80000[/tex]

[tex]y =12309.9352[/tex]

Model 2

[tex]y =4.2436 + 0.0021\times (income)[/tex]

[tex]y =4.2436 + 0.0021\times 80000[/tex]

[tex]y =172.2436[/tex]

Model 3

[tex]y =4.1393 + 0.0603\times (income)[/tex]

[tex]y =4.1393 + 0.0603\times 80000[/tex]

[tex]y =4828.1393[/tex]

Hence, the life expectancies are 12309.9352, 172.2436 and 4828.1393

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if p =5 q =3 find the value of 9p2²- 5q² ​

Answers

Answer:

Answer is in the attached file.

ANSWER ALLL PLEASEEEEEEEEE ILL GIVE BRAINLIST !!!!!!!!!

Answers

Answer:

question 3 is $9.99

question 4 I believe is the third option

geometry - please help

solve for x & y

Answers

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.

Determine the decimal equivalent of 5 over 8

Answers

Answer:

3.125

Step-by-step explanation:

We know that

258

is the same as

25÷8

Then using

Long Division for 25 divided by 8

and rounding to a Max of 3 Decimal Places gives us

=3.125

The answer would be 3.125

Please help quick ..

What distance was an object moved by a force of 35 N if the work was 665 joules?

19m

23,275m

630m

22m

Answers

Answer:

19m, A

Step-by-step explanation:

Work = Force x distance

so rearrange to get:

distance = Work ÷ Force

distance = 665÷35

distance = 19m

Bu sorunu nasil olur?
how can i solve this problem?

Answers

Answer:

i can't see your handwriting

A couple of friends decide to race each other. Liam can run 5 meters per second, and Grace
can run 8 meters per second. Because he is slower, Liam also gets a head start of 12 meters.
Shortly after they start running, Grace will catch up to Liam. How far has Grace run at that
time? How long will that take?

Answers

Answer:

32 m

4 sec

Step-by-step explanation:

just trust me i did the math

Answer:

i agree with the other person

Step-by-step explanation:

What is solution for 7y+9+6y=46

Answers

Answer:

combine like terms

7y + 6y

 13y + 9

Step-by-step explanation:

here is the solution

13y + 9

A system of linear equations includes the line that is created by the equation Y = 0.5x-1 and the line through the
points (3, 1) and (-5, -7), shown below.

What is the solution to the system of equations?

A. (-6, -4)
B. (0, -1)
C. (0, -2)
D. (2, 0)

Answers

Step-by-step explanation:

the answer I think D should be

Answer:

The answer is (2,0)

Step-by-step explanation:

We know one equation [tex]y =0.5x - 1[/tex] and the other points (3, 1) and (-5, -7).

For the first step, we need to graph the equation we know, since the points already plotted, and therefore have its own line.

As we can tell it crosses over points (2,0) making this equation having exactly one solution.

Making the correct awnser D; (2,0)

Can someone please help me I will mark brainliest please.

Answers

Answer:

GE = 8 inches

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

GE = 2 × GH = 2 × 4 = 8 inches

Factor out the GCF
4g^3-6g+20g^2

Answers

Answer:

[tex]\sf 2g(2g ^2-3+10g)[/tex]

Step-by-step explanation:

[tex]\sf 4g^3-6g+20g^2[/tex]

GFC: 2g

We'll Write the GCF first, then, divide each term by the GCF.

[tex]\sf 2g(\frac{4g^3}{2g}-\frac{6g}{2g} +\frac{20^2}{2g} )[/tex]

[tex]\sf 2g(2g ^2-3+10g)[/tex]

Write... the number 7 as a fraction with the denominator 3.​

Answers

Answer:

[tex]\huge\boxed{7=\dfrac{21}{3}}[/tex]

Step-by-step explanation:

[tex]7=\dfrac{7}{1}=\dfrac{7\cdot3}{1\cdot3}=\dfrac{21}{3}[/tex]

Answer:2[tex]\frac{0.3}{3}[/tex]

Step-by-step explanation:

please pick the right anwers no bots please

Answers

Answer:

1. 2/3

2. 0

3. 7/2

4. -2

5. -2

6. 1

7. -4/3

8. Undefined

9. 8

10. 9/5

Please help with this !

Answers

Answer:

16 m

Step-by-step explanation:

12² + b² = 20²

I hope this helps!

Answer:

b = 16 m

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

b² + 12² = 20²

b² + 144 = 400 ( subtract 144 from both sides )

b² = 256 ( take square root of both sides )

b = [tex]\sqrt{256}[/tex] = 16 m

Write the following statements in the form of equations.
c. One third of a number plus 7 is 26.

Answers

Answer:

Brainless please?

Step-by-step explanation:

1/3x +7=26

Using the slope formula, find the slope of the line through the given points.
(9.7) and (6.4)
What is the slope of the line? Select the correct choice below and if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Type an integer or a simplified fraction.)
OB. The slope of the line is undeined.
Help pls

Answers

Answer: Start with y2-y1/x2-x1

-4+7/-6+3

Answer=2.5 or 5/2

DONT TRUST ME THOUGH

Step-by-step explanation:

pls help everyone this is due tomorrow at 8 am <3

Answers

Answer:

e=19.6h

Step-by-step explanation:

If in 21 hours, she earns 411.60 dollars, then we need to find how much she makes in ONE hour.

21 h            1 hour

--------- = ------------------

411.60 dollars    xdollars

To get from 21 to 1, I would have to divide by 21, right? So, do the same for the denominators.

411.60 / 21= $19.6

Now, since we know the unit rate, we can make an equation!

e=19.6h

what set does -15/2 belong to

Answers

Answer:

Rational numbers

Step-by-step explanation:

any number that can be written as the ratio of two integers and that is terminating or repeating in decimal form



hoped that helped

Answer:

Rational numbers

Step-by-step explanation:

These numbers are numbers that can be expressed as a ratio of two integers and includes decimals that terminate (they end like 5.1 or 6.349) or repeat (such as 5.33333333333...)

can someone help with this​

Answers

Answer:

A: 9x = 0

Step-by-step explanation:

Description of it's end behavior as * Gets larger 8. Match each rational function with a larger. The value of the expression gets A.9x closer and closer to 0. : 2, The value of the expression gets closer and closer to 1. 2 3. The value of the expression gets 92+ closer and closer to 9. E. 9442 4. The value of the expression is 99 98+2 5. The value of the expression gets larger and larger in the positive direction. 6. The value of the expression gets larger and larger in the negative direction:

Solve 12 + 5= 7.
A. x = -2 and x = 12
B. x = -2 and x = -12
C. X = 2 and x = -2
O D. x = 2 and x = = -12

Answers

Answer:

if you mean 12-5=12 this answer is x=144

here is the step by step explanation.

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/12-5-(7)=0

Step by step solution :

STEP

1

:

x

Simplify ——

12

Equation at the end of step

1

:

x

(—— - 5) - 7 = 0

12

STEP

2

:

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 12 as the denominator :

5 5 • 12

5 = — = ——————

1 12

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (5 • 12) x - 60

———————————— = ——————

12 12

Equation at the end of step

2

:

(x - 60)

———————— - 7 = 0

12

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 12 as the denominator :

7 7 • 12

7 = — = ——————

1 12

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(x-60) - (7 • 12) x - 144

————————————————— = ———————

12 12

Equation at the end of step

3

:

x - 144

——————— = 0

12

STEP

4

:

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-144

————— • 12 = 0 • 12

12

Now, on the left hand side, the 12 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-144 = 0

Solving a Single Variable Equation :

4.2 Solve : x-144 = 0

Add 144 to both sides of the equation :

x = 144

One solution was found :

x = 144

PLEAS ASAP
i wanna sleep

im young
30 POINTS

Answers

Answer:

325.5 i think

Step-by-step explanation:

Sarah has 42 quarters and dimes in her piggy bank which totals $8.25. How many quarters and dimes does she have

Answers

She will have 23 quarts
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