Tameeka tells Marcus, "When you add 16 to my mystery number then subtract 20, you get the same result as when you add my mystery number to itself, then add 20 and subtract 16.” What is Tameeka’s mystery number?

Write and solve an equation to represent this situation.

Answers

Answer 1

Answer:

-8.

Step-by-step explanation:

x + 16 - 20 = 2x + 20 - 16

x - 4 = 2x + 4

x - 2x = 4 + 4

-x = 8

x = -8.

Answer 2

The mystery number 'm' that satisfies the stated conditions is - 8.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The mystery number be 'm'.

So, When you add 16 to my mystery number then subtract 20,

m + 16 - 20,

you get the same result as when you add my mystery number to itself, then add 20 and subtract 16,

m + m + 20 - 16.

Therefore,

m + 16 - 20 = m + m + 20 - 16

m - 4 = 2m + 4.

- m = 8.

m = - 8.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Related Questions

Let f(x)=r2+2 and g(x)=1–3x. Find each function value:
f(g(-1))

Answers

Answer:

18

Step-by-step explanation:

f(x)=x^2+2

g(x)=1–3x

f(g(-1))

First find g(-1) = 1-3(-1) = 1 +3 = 4

Then find f(4) = 4^2 +2 = 16+2 = 18

f(g(-1)) = 18

A rectangle's perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the
width of the rectangle in units?

Answers

Answer:

P = 3

Step-by-step explanation:

L = 4*w

P = 27 + w

P = 2*L + 2*w = 27 + w

2L = 2*(4w) = 8w

Put that into the perimeter formula (the first one.)

P = 8w + 2w = 27 + w

10w = 27 + w                        Subtract w from both sides

9w = 27                                Divide by 9

w = 27 / 9                          

w = 3

You should find the Length just so you can check it.

L = 4w

L = 4*3

L = 12

Check

P = 2L + 2w

P = 2*12 + 2*3 = 30

P = 27 + w

P = 27 + 3

P = 30 and everything checks.

2.
Consider the sequence {1,22,43,64,85,…}. Find n if an = 2332. Show all steps including the formulas used to calculate your answer.

Answers

Answer:

n = 112

Step-by-step explanation:

an = a1 + (n - 1)*d

d = 43 - 22 = 21    Try another one to confirm

d = 85 - 64 = 21

d = 21                    So we have an arithmetic sequence.

a1 = 1

an = 2332

 

2332 = 1 + (n - 1)*21          Subtract 1 from both sides

2332 - 1 = (n - 1)*21

2331 = (n - 1)*21                Divide by 21

2331/21 = n - 1                

111 = n - 1                          Add 1 to both sides

112 = n

what is the ordered pair to (-4,2)

Answers

Answer:

(1,2) is ordered pair to (-4,2).

Step-by-step explanation:

(1,2)

hora khoi thaha vayena hai

You have ​$95 in your bank account. Each week you plan to deposit ​$9 from your allowance and ​$10 from your paycheck. The equation b​=95+(10+9​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$220 in your bank​ account?

There will be ​$220 in the account after ___ weeks

Answers

Answer:

7 weeks

Step-by-step explanation:

b​=95+(10+9​)w

Combine like terms

b​=95+(19​)w

Let b = 220

220 = 95 + 19w

Subtract 95 from each side

220-95 = 19w

125 = 19w

Divide each side by 19

125/19 = w

6.578947368

Round up

After 7 week

Please help explanation if possible

Answers

Answer:

y = 1/7x + 0

Step-by-step explanation:

3x + 21y = 21

21y = -3x + 21

y = -3/21x

y = 1/7x

Ella bought a 2 bedroom unit 12 years ago for $95 000 and recently sold it for $280 000 (after deducting selling costs).
a) Find the profit.
b) Find the profit as a percentage of the buying price.
c) Find the profit as a percentage of the selling price.
d) Which percentage profit sounds better as far as Ella is concerned?

pls explain, thanks!!!!​

Answers

C.P. = $95000

S.P. = $280000

a. Profit

= S.P. - C.P.

= $280000 - $95000

= $185000

b. Let the profit% of C.P. be x.

(x/100) × $95000 = $185000

=> x/100 = $185000/$95000

=> x/100 = 37/19

=> x = (37/19) × 100

=> x = 3700/19

=> x = 194 14/19

So, profit percent of buying price is 194 14/19%.

c. Let the profit% of S.P. be x.

(x/100) × $280000 = $185000

=> x/100 = $185000/$280000

=> x/100 = 37/56

=> x = (37/56) × 100

=> x = 3700/56

=> x = 925/14

=> x = 16 1/14

So, profit percent of selling price is 16 1/14%.

d. Buying price percentage profit sounds better as far as Ella is concerned.

Use the given information to prove that f║g (f is parallel to g).


please help

Answers

Answer:

Not Enough Information

Step-by-step explanation:

Unfortunately, you did not give us the "given information", so there is no way to prove the two parallel.

Can A KIND SOUL HELP ME OUT??? ALL THE ANSWERS I SEE ARE WRONG FOR THIS PROBLEM!!!!!!!!!!:(((

Find the measures of angles x, y and z in the figure.

please show how you got it so I can see if the answer makes sense!!!!

Answers

Answer:

x=y=z=106

Step-by-step explanation:

The upper line is a straight line, so x+74=180, x=106.

y and x are equal in measure as it's a pair of parallel lines and z=y as they are alternate interior angles

Solve for the value of n.
n =

Answers

Answer:

136+(4n-8)=180

136+4n-8=180

4n+128=180

4n=52

n=13

Step-by-step explanation:

please mark me as brainliest

The answer is n=13 hope that helps

Select the two values of x that are roots of this equatio 2x - 5 = - 3x ^ 2

Answers

alright I can help!

so to find the two values of x that are roots of the equation we need to put the variables all on one side so that we can set up the quadratic formula.

3x^2+2x-5=0 (the -3x^2 becomes positive when moved across the equal sign)

now we can set up the quadratic formula. the equation is x= (-b+-(sqrt of b^2 -4ac))/ 2a

so now we just plug in our variables.

x= (-2+-(sqrt of 2^2 -4×3×-5))/ 2×3

x= (-2+-8)/6

now we just seperate the equations so that we have the two roots. and then just solve!

x= (-2-8)/6 -> x= -5/3

x= (-2+8)/6 -> x=1

hope this helps! best wishes and best of luck!!

Find the 6th term of each geometric sequence. 9, 45, 225, 1125

Answers

Answer:

28125    

Step-by-step explanation:

Refer to the image below.

If a store sells pencils at 12 for $1.09, how many pencils can you buy for $3.50?
THIS IS A PROPORTIONS QUESTION
12 pencils = $1.09
x pencils = $3.50
So 1.09 times what is equal to 3.50
HOPE IT MAKES SENCE!!

Answers

Answer:3

Explanation:
Divide 3.50 by 1.09 since 3.50 is your total and 1.09 is the pack amount

Solve for x if 25'+ 3(5') = 4​

Answers

Answer:

x=0

Step-by-step explanation:

Let 5x = y.

(52)x+3(5x)−4=0

y2+3y−4=0

y2−y+4y−4=0

y(y−1)+4(y−1)=0

(y+4)(y−1)=0

y=−4;y=1

y = -4 is not possible.

y = 1 ⟹ x = 0.

Answer:

0

Step-by-step explanation:

Explanation:

Help plzzz... circle geometry question.

Answers

Answer:

IU = 161

Step-by-step explanation:

Angle Formed by Two Secants=  1/2 (difference of Intercepted Arcs)

42 = 1/2 (7m+5 - (3m-1))

Distribute the minus sign

42 = 1/2 (7m+5 - 3m+1))

Combine like terms

42 = 1/2 ( 4m+6)

Distribute the 1/2

42 = 2m+3

Subtract 3 from each side

42-3 = 2m+3-3

39 = 2m

Divide by 2

19.5 = m

The sum of the arcs = 360

IU+ 3m-1 + 7m+5 = 360

IU +10m+4 = 360

IU +10(19.5) +4 = 360

IU +195+4 = 360

IU = 360 - 199

IU=161

20
19) Mindy and Cindy bought 64 grapes.
Cindy ate 3/8 of the grapes and Mindy ate
the rest. How many grapes did Mindy eat?

Answers

Answer:

40 grapes

Easy explanation:

64 ÷ 8= 8• 1/8 of 64 grapes is 8.8 × 3= 24• 3/8 of 64 grapes is 24. Now we know that Cindy ate 24 grapes. With that, we can solve how many grapes Mindy ate. By subtracting 24 from 64.64 - 24= 40• Mindy ate 40 grapes.

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Aaron's car used 2 gallons of gas to drive 32 miles. At what rate does his car use gas in miles per gallon?

Answers

Answer: 16miles per gallon

Step-by-step explanation:

If he went 32 miles with 2 gallons then divide both sides by 2 to get 16 miles with 1 gallon so he travels 16 miles per gallon

If x= √3+√2/√3-√2 find (i) x^2+1/x^2 (ii) x^4+1/x4.
Please give the right answer.

Answers

Answer:

i)= 98     ii)= 9602

Step-by-step explanation:

hope it helps

Which expression is equivalent to 2x2x2x2x2

Answers

Answer:

2^5

Step-by-step explanation:

2x2x2x2x2

Count the number of 2's, that is the power

The base is 2

2^5

Answer:

2 to the power of 5

Step-by-step explanation:

there are 5 2's being multiplied by each other and that can be shortened to the power of 5.

Y equals 1/3 X +5 through (two, one)

Answers

Answer:

No solution

Step-by-step explanation:

1 = 1/3(2) + 5

1 = 17/3

Therefore no solution as 1 is not equal to 17/3

factor 36x + 18 + 12y using GCF HURRY!!!!

Answers

Answer:

6x + 3 + 2y

Step-by-step explanation:

The GCF is 6 as thats the largest factor, so you divide the numbers by 6.

6x + 3 + 2y

What is the volume of this figure?

Answers

Answer:

44

Step-by-step explanation:

Answer:

4 x 4 x 4 =64

4 x 4 x 8 =128

4 x 4 x 12 =192

64+128+192=384³

hope it'll be helping

Find the value of x for which the lines a and bare parallel.

Answers

Answer:

B

Step-by-step explanation:

The two angles are alternate interior angles. The have to be equal.

7x + 15 = 148                     Subtract 15 from both sides

7x = 148 - 15

7x = 133                             Divide by 7

x = 133/7

x = 19

B

In figura de mai jos, coardele AB si CD sunt perpendiculare şi congruente. Punctele E,O,F sunt coliniare. Calculați masura unghiului AEF.​

Answers

Answer:

please translate to English for fast response

Answer:

∡AEF=45°

Step-by-step explanation:

AB=CD ⇒

arcele AB=AC (la coarde egale corespund arce egale)⇒

arc(AB)+arc(BC) = arc(BC)+arc(BD)  (descompunerea arcelor AB si AC)⇒

arc(AC)=arc(BD) ⇒

∡BAD≡∡CDA (la arce egale avem unghiuri cu varful pe cerc egale) ⇒

ΔEAD e isoscel (unghiurile de la baza AD sunt congruente) ⇒

[EA]≡[ED], dar si [OA]≡[OD]   (OA si OD raze ale cercului)⇒

EO e mediatoarea  [AD] (E si O formeaza dreapta EO), dar ΔEAD e isoscel⇒

[EO este si bisectoarea ∡AED (intr-un triunghi isoscel mediatoarea bazei se suprapune cu bisectoarea unghiului opus bazei), dar ∡AED=90° ⇒

∡AEF=45°

(2/7)power 7 divided (2/7)power 5

Answers

Answer:

4/49

Step-by-step explanation:

7-5 = 2

2/7*2/7 = 4/49

Answer:

4/49

Step-by-step explanation:

[tex] \frac{ (\frac{2}{7})^{7} }{( \frac{2}{7} )^{5} } = ({ \frac{2}{7} )}^{7 - 5} \\ = ( \frac{2}{7})^{2} \\ = \frac{4}{49} [/tex]

Solve : x - 11 = 2
pls answer my question ​

Answers

Answer:

x = 13

Step-by-step explanation:

x-11 =2

=x=2 +11

therefore ans is x =13

hope it helps.

Answer:

Here is how,verify if u can ;)

Step-by-step explanation:

x - 11=2

x+ 11 +11

________

x = 13

4 less than the product of 6 and the number

Answers

Answer:

6x - 4

Step-by-step explanation:

4 less than 6 times x

6x - 4

If my answer is incorrect, pls correct me!

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

-Chetan K

Select the correct answer.
Simplify the following expression.
(3x^2 - 11x - 4) – (x – 2) (2x + 3)

Answer choices

5x^2 - 12x - 10
x^2 - 10x + 2
x^2 + 10x - 2
x^2 – 12x – 10

Answers

Answer:

x^2 -10x+2

Step-by-step explanation:

(3x^2 - 11x - 4) – (x – 2) (2x + 3)

FOIL

(3x^2 - 11x - 4) – (2x^2-4x+3x-6)

Combine like terms

(3x^2 - 11x - 4) – (2x^2 -x-6)

Distribute the minus sign

3x^2 - 11x - 4 – 2x^2 +x+6

Combine like terms

x^2 -10x+2

the sum of two numbers is 20,one number is 4 less than the other.find the number

Answers

x-4+x=20


2x=20+4
2x=24
X=12
Number is 12 because 12-4 is 8 and 8+12 is 20
I’ve attached my work
Hope this helps!

evelins room has an area of 45 squar feet. the length of her room is 5. what is the perimeter of her room?

Answers

Answer:

28 feet

Step-by-step explanation:

Since the area is 45 and length is 5.In order to find the width we divide the area by the side given

45 ÷ 5 = 9 is the width

Perimeter is the sum of all the side of a figure.

9 + 9 + 5 + 5

= 28

I hope this helps :)

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