The sum of half of a number and 8 less
than the number is 25. Find the number.

Answers

Answer 1

Answer:

The number is 22

Step-by-step explanation:

let x = the number

[tex] \frac{1}{2} x + x - 8 = 25 \\ \frac{1}{2} x + x - 8 + 8 = 25 + 8 \\ \frac{1}{2} x + x = 33 \\ factor \: out\: x \: on \: the \: left \\ x( \frac{1}{2} + 1) = 33 \\ divide \: both \: sides \: by \: \frac{1}{2} + 1 \\ \frac{x( \frac{1}{2} + 1) }{ \frac{1}{2} + 1} = \frac{33}{ \frac{1}{2} + 1} \\ x = \frac{33}{ \frac{3}{2} } \\ x = \frac{66}{3} \\ x = 22[/tex]

let's factor out x from the left hand sid


Related Questions

The broccoli farmer notices that his pre-flowering crop is being attacked by caterpillars. He was advised to use a particular insecticide at the rate of 5 milliliters per gallon of water. The farmer finds that a 4 gallon can of water covers an area of 30m². The chemical in question comes in 1500ml bottles and costs $3,500.

FIND:
a) How many gallons of water would cover his 2.6-hectare area?

b) How many pesticides is needed to adequately spray the field?

c) What would be his total cost for whole bottles of insecticide needed?


pls help

Answers

Answer:

a) 3,467 gallons of water

b) 17,335 ml of insecticide = 12 bottles

c) $ 42,000

Step-by-step explanation:

1 gal. Water = 3785.412 ml

1 hectare = 10,000 m^2

2.6 hectare = 2.5 x 10.000 m^2 = 26,000 m^2

(a) 4 gal. water cover 30m^2

X gal water cover 26,000 m^2

(4 x 26,000)/30 = 3,467 gal of water

(b) 5 ml per 1 gal of water

X ml per 3,467 gal of water

(5 x 3,467) = 17,335 ml of insecticide

Bottle of insecticide = 1,500 ml of insecticide in each bottle.

17,335/1,500 = 12 bottles of insecticide

(c) 12 x $3,500 = $ 42,000

can somebody tell me what this is please ?​

Answers

Answer:   n = -25

Step-by-step explanation:

    (3/5)n + 15 = 10 + (2/5)n [transpose like terms to each side of the equal sign]

(3/5)n - (2/5)n = 10 -15       [simplify]

             (1/5)n =   -5           [multiply both sides by 5]

                    n = - 25

10. Determine if the equation x - y = 1 defines y as a function of x.

Answers

Answer:

No.

Step-by-step explanation:

First solve for y:-

x - y^4 = 1

y^4 = x - 1

y = +/- (x - 1)^(1/4)

This is a one-to-many relation . For a given value of y there  2 values of x.

So this is NOT a function.

PLEASE HELP ME
A population in a town has 2500 people in the first month of its development. Every month after that, the population constantly increases 1.25 times from the previous month. What will the population of the town be in the 4th month?

A.) About 4883 people
B.) About 6104 people
C.) 12500 people
D.) 9375 people

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Just take the 1.25 x 4 months, then multiply that by the 2500 to get your answer of 12,500 people.

Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have by the end of any day?

Answers

Answer:

16777216

It took a lot of space on the calculator

Nathan usually drinks 33 ounces of water per day. He read that he should drink 63 ounces of water per day. If he starts drinking 63 ounces, what is the percent increase? Round to the nearest percent. what is the increase in percent(not over 100)

Answers

Answer:

I think it’s 90% if u round up it should be 91%

Step-by-step explanation:

If it’s wrong I’m REALLY sorry

Answer:

47.619047619047

Step-by-step explanation:

63-33= 30

[tex] \frac{30}{63} \times 100 = 47.619047619047[/tex]

you are welcome

Select all solutions for the equation (3x + 5)(2x + 8) = 0

Answers

Answer:

Step-by-step explanation:

Find the selling price of a book with an original price of $49.95 and a 5% tax rate.please be specific on how the answer is the answer pls help me

Answers

Step-by-step explanation:

$52.45

49.95×.05

then add that result to 49.95= answer

The ratio of men to women working for a company is 6 to 5 . If there are 65 women working for the company, what is the total number of employees?

Answers

Step-by-step explanation:

[tex]\frac{men}{women} =\frac{6}{5}[/tex]

If there are 5 women = 6 men

If there are 5(13) women = 6(13) men

If there are 65 women = 78 men

So there are 65 + 78 = 143 employees.

please give me a brainliest answer

The volume of this cone is 540π. Work out the height,h, of the cone, radius=9cm

Answers

Answer:

h = 20

Step-by-step explanation:

540π = 1/3 . h . π . 9^2

get rid of π

540 = 1/3 . h . 9^2

multiply by 3 to get rid of 1/3

3 . 540 = h . 9^2

1620 = h . 81

divide by 81

1620/81 = h

20 = h

Hope that helps :)

Place the following steps in order to describe how to solve the following equation:​​ 2(2x+3)-2=52(2x+3)−2=5

Answers

Answer:

frist parentheses then subtract

The solution of equation  2(2x+3)-2 = 52(2x+3)−2 = 5 is x = -29/20.

What is PEMDAS?

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

The given equation:

2(2x+3)-2 = 52(2x+3)−2 = 5

Simplifying,

2(2x+3)-2 = 52(2x+3)−2 - 5

Using PEMDAS,

first, we solve the parentheses

4x+6 - 2 = 104x + 156 - 2 - 5

4x+4 = 104x + 149

104x - 4x = 4 - 149

100x = -145

x = -145/100

x = -29/20

Therefore, the value of x is  -29/20.

To learn more about the PEMDAS;

https://brainly.com/question/36185

#SPJ5

What are the the values of x and y that satisfy this equation?

( x + yi ) + ( 4 + 9i ) = 9 - 4i


A. x = 9 and y = -4

B. x = 5 and y = 13

C. x = 5 and y = -13

D. x = -9 and y = 4


Answer: C. x = 5 and y = -13


I hope this helps.

Answers

A=9
B=y
3=r the plaint 4 and y equals 2 and z

The value of x is 5 and the value of y is -13 which satisfies the equation. The correct option is C.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given equation is,

( x + yi ) + ( 4 + 9i ) = 9 - 4i

The points are x= 5 and y = -13,

( x + yi ) + ( 4 + 9i ) = 9 - 4i

( 5 -13i ) + ( 4 + 9i ) = 9 - 4i

5 + 4 -13i+9i = 9-4i

9-4i = 9 - 4i

Therefore, the value of x is 5 and the value of y is -13 which satisfies the equation. The correct option is C.

To know more about an expression follow

https://brainly.com/question/8904091

#SPJ5

What is the rhyme scheme of this poem?
I wanted to use the mat
but couldn't remove my cat
who always sat
directly at
the place I needed to pose.

A. abccb
B. ababa
C. aaaab
D. abbab

Answers

Answer:

c

Step-by-step explanation:

because all of the lines except for the last one is the same. so its aaaab

C, all the As rhyme and B just there

Help me please this is due tommorow

Answers

It’s B. (-infinity, -8)

Write the equation of the graph below in slope intercept form.

(2,0) and (0,-3)

Step by step

Answers

Answer:

y2- y1 over

x2 -x2

[tex] - 3 - 0 = - 3[/tex]

[tex]0 - 2 = - 2[/tex]

Step-by-step explanation:

slope is m =

[tex]m = - \frac{3}{2} [/tex]

use the -3 for b and you get

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

slope intercept form

-65 is 5 times a product of 5 and a number

Answers

Answer:

Step-by-step explanation:

=-65*5

=-325

The formula to convert Celsius to Fahrenheit is F=57,C+32. If
the temperature is 92 degrees Fahrenheit. What is the
temperature in Celsius?

Answers

Answer:

the value of Celsius temperature is 100

o

 when Fahrenheit temperature is 212

o

.

Step-by-step explanation:

Solve for a. |2a-10|=6

Answers

Answer:

a= 2

Step-by-step explanation:

2 × 2 -10=6

4-10= 6

6=6

what is 5x plus 2 equals 4x -9

Answers

Answer:

x=-11

Step-by-step explanation:

5x+2=4x-9

5x-4x=-9-2

x=-11

PLEASE ANSWER RIGHT NOW BRAINLIEST POINTS ETC

Answers

Answer:

-17

Step-by-step explanation:

Distribute:

7w+140+w=4

Add like terms

8w+140=4

Move constant to the right

8w=4-140

Add like terms

8w=-136

Divide both sides by 8

w=-17

I JUST NEED TO ASK A QUESTION

Given PQ = 24
PS = 19
PR = 42
TQ = 10
m<PQR = 106°
m<QSR = 49°
m<PRS = 35°


find m<QRS, m<PQS, m<RPS and m<PSQ​

Answers

The shape PQRS is a parallelogram

The measure of angle QRS is 70 degreesThe measure of angle PQS is 53 degreesThe measure of angle RPS is 35 degreesThe measure of angle PSQ is 53 degrees

The given parameters are:

[tex]\mathbf{\angle PQR = 106}[/tex]

[tex]\mathbf{\angle QSR = 49}[/tex]

[tex]\mathbf{\angle PRS = 35}[/tex]

(a) Find QRS

This is calculated as:

[tex]\mathbf{\angle QRS = 2 \times \angle PRS }[/tex]

So, we have:

[tex]\mathbf{\angle QRS = 2 \times 35}[/tex]

[tex]\mathbf{\angle QRS = 70}[/tex]

Hence, the measure of angle QRS is 70 degrees

(b) Find PQS

This is calculated as:

[tex]\mathbf{\angle PQS = \frac 12 \times \angle PQR }[/tex]

So, we have:

[tex]\mathbf{\angle PQS = \frac 12 \times 106}[/tex]

[tex]\mathbf{\angle PQS = 53}[/tex]

Hence, the measure of angle PQS is 53 degrees

(c) Find RPS

This is calculated as:

[tex]\mathbf{\angle RPS = \angle PRQ }[/tex]

Where:

[tex]\mathbf{\angle PRQ = \angle PRS = 35}[/tex]

So, we have:

[tex]\mathbf{\angle RPS = 35}[/tex]

Hence, the measure of angle RPS is 35 degrees

(d) Find PSQ

This is calculated as:

[tex]\mathbf{\angle PSQ =\frac 12 \times \angle PQR }[/tex]

Where:

[tex]\mathbf{\angle PSQ =\frac 12 \times \angle 106}[/tex]

So, we have:

[tex]\mathbf{\angle PSQ =53}[/tex]

Hence, the measure of angle PSQ is 53 degrees

Read more about angles in a parallelogram at:

https://brainly.com/question/12186483

3. 2(x − 3)

A) 2
B) −4
C) 2x − 6
D) 2x − 4 4)

Answers

Answer:

C

Step-by-step explanation:

multiply by 2 to be 2x-6

Answer:

x=8//

Step-by-step explanation:

2(x- 3)

or,2x-6

or,X=6+2

hence,X=8//

Moesha has 3 dresses, 2 hats, and 5 pairs of shoes. She will choose an outfit that has one dress, one hat, and one pair of shoes. How many different outfits are possible? PLEASE HElPPPPPPPPPPPPPPPPP

Answers

Answer: 30  You're welcome (:

George walked 6 miles in 2 hours
What was his average walking rate in miles per hour?
2 miles per hour
3 miles per hour
4 miles per hour
I don't know.

Answers

Answer:

b) 3 miles per hour

Step-by-step explanation:

If George walked 6 miles is 2 hours, his average walking rate would be 3 miles per hour.

6 ÷ 2 = 3.

2 colum proofs???? i don’t understand these

Answers

Answer:

where is it?

Step-by-step explanation:

a wheel has diameter 84cm.During a journey the wheel make 800 complete revolutions. how many meter does it travel?

Answers

Answer:

2110.08 meters

Step-by-step explanation:

find the circumference of the wheel

Divide 84 by 2 to find the radius.

84/2=42

C=2πr

C=2(3.14)(42)

C=263.76 cm

263.76*800=211008cm

Divide by 100 to convert to meters

211008/100=2110.08

2110.08 Meters

Hope this helps!

guys help please what is this

Answers

Answer:

A & C

Step-by-step explanation:

You're looking for rational numbers that are also integers, but because (as the figure shows) ALL integers are already rational, you only have to worry about the integer part. An integer is a whole number, positive or negative. So, you need to simplify each element of each set (the numbers inside the curly braces) to see if they're whole.

A - The square root of 100 is just 10 or -10, divided by -2 is -5 or 5. 4, -2, 5, and -5 are all integers.

B - Wrong because 4/3 is not a whole number

C - 16/4 is just 4, and the square root of 49 is 7 or -7. 4, -6, 2, 7, & -7 are all integers.

D - Wrong because 27/2 is not a whole number

E - Wrong because 0.2 is not a whole number

Let me know if you need a more thorough explanation! (:

Compare the number. -9/16 ? -7/10

Answers

Answer:

-9/16 > -7/10

Step-by-step explanation:

guys pls help me!!!!!!!

Answers

Answer:

165°

Step-by-step explanation:

x+15=180

Answer:

[tex] \\ \boxed{ \sf{x = 165 \degree}}[/tex]

Step-by-step explanation:

We know that a straight line has an angle of 180°.

Therefore,

x+15 = 180x = 180 -15x = 165

Thus, the value of x is 165°.

a sloth travels about 7 feet every minute generate the set of ordered pair for the ratio relationship between the total distance traveled y and the number of minutes x for a total of 1,2,3 and 4 minutes then graph the relationship on the coordinate plane and describe the pattern in the graph

Answers

Answer:

this question is very hard

Step-by-step explanation:

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