Set up an equation and solve for unknown variable.
“The difference of 2 and a number is equal to the sum of 5 and that same number”

Answers

Answer 1

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

Let the unknown number be x.

Translating the word problem into an algebraic expression, we have;

2 - x = 5 + x

Rearranging the equation, we have;

x + x = 5 - 2

2x = 3

x = 3/2

x = 1.5


Related Questions

You deposit $200 in an account earning 2% interest compounded annually how much will you have any account in 10 years

Answers

Answer:

$243.80

Step-by-step explanation:

You basically just multiply this by 1.02, then multiply the answer of that by 1.02, etc, until you did it 10 times in total. There is also the formula

P (1 + r/n)^(nt)

Where

A     =       final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

A salesman sold 345
iPods this month and
214 iPads. If he sells this
amount of iPods every
month for the next 12
months, how many iPods
will he sell?

Answers

Answer:

2568

Step-by-step explanation:

214x12=2568

4,140 is how many iPods he will sell in 12 months

need help asappppppp ​

Answers

Answer:

for what

Step-by-step explanation:

Shirley is 21 years older than Laura. In six years, Shirley will be twice as old as Laura. How old are they each now? Solve by first creating a system of equations and then solving the system of equations. Be sure to define clearly each variable used.

Answers

Answer:

7 1/4 years old I think

Step-by-step explanation:

When walking between rides and attractions, most people walk about 3000 feet in 15 minutes. What is the unit rate in feet per minute? ​

Answers

you can easily do 3000 divided by 15, finding the rate. the answer is about 200 feet per minute. hope this helps!

FREE POINT GIVE AWAY!!!!!! Just solve my equation 5*4+2=? (I already know the answer)

Answers

Answer:

22

Step-by-step explanation:

I did the math in my head sooo if it's wrong I know why

What is the volume of the rectangular prism above?

A.

1/15

B.

1/5

C.

1/12

D.

1/20

Answers

Answer: A

Step-by-step explanation:

HxWxL equals 4/60. 4/60 simplified is 1/15.

please answer ive been waiting half hour

Every plant bloomed in the spring. The simple subject of this sentence is _____.
every
every plant
plant
bloomed

Answers

i’m pretty sure it’s plant

The subject is the idea,being or thing being discussed.

Should be "plant". Its the Main thing being discussed.

What is the volume of the rectangular prism? A prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half inches.

Answers

Answer:4

Step-by-step explanation:because 4

The answer is 200! I believe

Please take a look at the picture then write an explanation to go with the answer.
Thank you :)

Answers

Answer:

5/8 inch

Step-by-step explanation:

Subtract

1 - 3/8 = 5/8 inch

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Use the long division method to find the result when 3x^3+23x^2+23x+6 is divided by 3x+2.

Answers

Answer:

x^2+7x+3 R0

Step-by-step explanation:

3x+2 | 3x^3+23x^2+23x+6

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

_____________________

                    21x^2+23x+6

                  - 21x^2+14x           (7x)

______________________

                                 9x+6

                               - 9x+6      (3)

_________________________________

                                        0     | x^2+7x+3

Therefore, your quotient is x^2+7x+3

2.52343454 + -34355343.99
NEED HELP PLZZZZZZ ASAP

Answers

Answer:

5555555555555555555555555555555555555 trust

Step-by-step explanation:

consider the quadratic equation x^2 + 8x + k = 0 where k is a constant​

Answers

Answer:

K = 16

Step-by-step explanation:

Identify the constant term of
14 - 8x - 7y

Answers

Answer:

14

Step-by-step explanation:

The low weekdays temperature for a city are shown

Answers

Lowest to Highest
-10, -8, -3, 10, 12

In ancient Egypt, mathematicians and architects used 10 as an approximation for π . The circular floor of an ancient arena is paved with tiles. The floor of the arena has a radius of 100 feet.

Answers

What is the question

Can someone please Help me with this ?

Answers

Answer:

The answer is A

Step-by-step explanation:

t(x) = (x-4)(x-4)+3

t(x) = (x²-4x-4x+16)+3

t(x) = x²-8x+19

Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4

Answers

Answer:

c,d,e,f

Step-by-step explanation:

mark me brainliest

Select all values of x that make the inequality true: (x ≥ -1)

A. -4

B. -2

C. -1

D. 0

E. 1

F. 4

Answer:

C, D, E, F

Step-by-step explanation:

hope this helps! #HappyCheating

Which number is the largest ?
-0.65, -0.622, -5/8

Answers

Answer: 0.622

step-by-step explanation

Answer:

-0.622.

Step-by-step explanation:

Convert -5/8 to a decimal:

= -0.625.

So the largest number is -0.622.

Please help marking people as brainlist

Answers

The answer is 2rad3
(l^2 + w^2)^.5

Ahmad will spend at most $30 on gifts so far he has spent $13 what are the possible additional amounts he will spend?

Answers

Answer:

$15

Step-by-step explanation:

Budget = $30

Spent = $13

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

30 - 15 = $15

Ahmad will spend $15 additional dollars.

HELP PLEASEEEEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

12²+15² is 369. square root of 369 is 3[tex]\s\sqrt{41[/tex] or 19.2


Line A passes through the points (-3,2) and (-23,54). Line B is parallel to line A and passes through the point (-8,0). Consider
the equation of line B in the form y= a (x + b), where a and b are rational numbers.

Answers

Answer:

Line A passes through (-3, 2) and (-23, 54)

slope of  line A will be

               [tex]m_{A} =\frac{y_{2}-yx_{1} }{x_{2}- x_{1} } = \frac{54-2}{-23+3} = \frac{52}{20}= \frac{13}{5}[/tex]

Equation of line A will be

             [tex](y - y_{1}) = m_{A}(x-x_{1} )\\\\(y - 2) = \frac{13}{5}(x -(-3))\\\\(y - 2) = \frac{13}{5}(x +3))\\ \\\\5((y - 2) = 13(x +3))\\\\5y -10 = 13x + 39\\\\5y = 13x + 49[/tex]

Given line B is parallel to line A, So slope of A and B

                       [tex]m_{A} \cdot m_{B} = 1[/tex]

 slope of line B will be

                       [tex]\frac{13}{5}\cdot m_{B} = 1\\\\m_{B} = \frac{5}{13}[/tex]

Also given line B passes (-8, 0), therefore the equation of line B

                  [tex](y-y_{B}) = m_{B}(x-x_{B} )\\\\(y - 0) = \frac{5}{13}(x + 8)\\\\y = \frac{5}{13}(x+8)\\\\[/tex]

Therefore,

             [tex]a = \frac{5}{13} \ \ and \ b = 8[/tex]

Enter the unlock number to unlock this door!

Find the volume of each shape. Then, form the unlock code by arranging the

letters of the shapes in order from greatest to least volume. (NOT drawn to scale!)

44 m

42 m

А

A

С

14 m

Base Area

32 m

17.25 m

72 m

V4 m

B

72m

D

9 34 m

E

5 m

372 m

Base Area = 26 73 m²

872 m

Your answer

I

Please fill out this field.

Answers

*See attachment below for the diagram

Answer:

DBECA

Step-by-step explanation:

Recall:

Volume of rectangular prism = Length*Width*Height or

V = Base area * Height

✔️Volume of A:

Length = ½ m

Width = ¼ m

Height = ¼ m

Volume of A = L*W*H = ½*¼*¼

= ¹/32 m³

= 0.03125 m³

✔️Volume of B:

Base area = 32 m²

Height = 7.25 m

Volume of B = base area * height

= 32*7.25

= 232 m³

✔️Volume of C:

Length = ½ m

Width = ¼ m

Height = ½ m

Volume of A = L*W*H = ½*¼*½

= ¹/16 m³

= 0.0625 m³

✔️Volume of D:

Length = 8½ m = 8.5 m

Width = 3½ m = 3.5 m

Height = 9¼ m = 9.25

Volume of A = L*W*H = 8.5 * 3.5 * 9.25

= 275.1875 m³ ≈ 275.2 m³

✔️Volume of E:

Base area = 26⅓ m² ≈ 26.33 m²

Height = 5 m

Volume of E = 26.33 * 5

≈ 131.7 m³

Arrange from greatest to the least volume:

D (275.2) > B (232) > E (131.7) > C (0.0625) > A (0.03125)

The answer code = DBECA

Which expression has a value greater than 43 ?

PLEASEEE HELP!

Answers

Answer:

7^2

Step-by-step explanation:

7*7=49

4^3=43

49>43

help me please I dont know this​

Answers

I’m pretty sure it’s 24

Answer:

answer: 384

Step-by-step explanation:

Hello! cubes are very simple! since there all the same measure and 6 faces all we have to do is 8 × 8 = 64 sense we know 1 face is 64 we just have to multiply by 6 cause there is 6 faces so

64 × 6 = 384 Hope this helps you!

A rectangular book cover is 8cm long and 5cm wide.Find the area of a book cover ​

Answers

Answer:

26cm

Step-by-step explanation:

because you have to add 8cm+8cm +5cm+5cm=26cm

area = length x width
8cm x 5cm
=40cm2 (squared)

I need help ☹️ anybody know if it’s a b c or d

Answers

Answer:

C

Step-by-step explanation:

it is not a and i belive it is b

a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5 bills was 10 more than 4 times the amount of $10 bills. the register contained as many $1 bills as $5 bills and $10 bills combined, and two $50 bills. how many bills of each kind did the register contain?

Answers

9514 1404 393

Answer:

85 ones70 fives15 tens2 fifties

Step-by-step explanation:

Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...

  a +5b +10c +50d = 685 . . . . . total amount of cash

  b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens

  a = b+c . . . . . . . . . . . as many ones as fives and tens combined

  d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills

__

Substituting for 'a', then for 'b', we have ...

  (b+c) +5b +10c +50d = 685

  6(10 +4c) +11c +50d = 685

  60 +35c +50d = 685

Substituting d=2 and subtracting 160 gives ...

  35c = 525

  c = 15

  b = 10 +4c = 10 +4(15) = 70

  a = b+c = 70 +15 = 85

The register contained ...

85 ones70 fives15 tens2 fifties

A grading scale is set up for 1000 students' test scores. It assumes the
scores are normally distributed with a mean score of 75 and a standard
deviation of 15.
How many students will score between 48 and 75?
hint: recall how to get the standard deviation. What does that mean in
this context? How could you use that to understand how many test
scores could be in one standard deviation?
464

Answers

Answer:

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.

This means that [tex]\mu = 75, \sigma = 15[/tex]

How many students will score between 48 and 75?

First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So

X = 75

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{75 - 75}{15}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5

X = 48

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{48 - 75}{15}[/tex]

[tex]Z = -1.8[/tex]

[tex]Z = -1.8[/tex] has a p-value of 0.0359

1 - 0.0359 = 0.4641

Out of 1000:

0.4641*1000 = 464

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

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