System of equations - urgent please help ben is making a new Twitter account and has 72 followers on his first day. He averages 10 new followers each week after that. Sarah also started a Twitter account and has 100 followers on her first day and averages 3 new followers each week. After how many weeks will they have the same number of followers?

Answers

Answer 1

Answer:

4 weeks

Step-by-step explanation:

Step one:

ben has 72 followers on his first day.

He averages 10 new followers each week

let the number of weeks be x

and the total followers be y

y= 72+10x--------1

Sarah also started a Twitter account and

has 100 followers on her first day and averages

3 new followers each week

let the number of weeks be x

and the total followers be y

y= 100+3x--------2

Step two:

let us equate the two expression to get the number of weeks x

72+10x=100+3x

collect like terms

10x-3x=100-72

7x=28

divide both sides by 7

x=28/7

x= 4 weeks


Related Questions

HELP!!!! I NEED IT ASAP!!!!

Answers

Answer:

27 and 28

Step-by-step explanation:

Let x = the first number

Let x + 1 = the second number

x + x + 1 = 55  Combine the x's

2x + 1 = 55 Subtract 1 from both sides.

2x = 54  Divide both sides by 2

x = 27 the second number would be 28

PLEASEEE HELP ME FO THISSS​

Answers

As C is the mid-point of BD.

Therefore, BC=DC ...(i)

As AB ⊥ BD and ED ⊥ BD

So, ∠ABC= 90° and ∠EDC= 90°

Therefore, ∠ABC=∠EDC= 90° ...(ii)

As two line segments, AE and BD intersect at point C, so the vertically opposite angles are equal.

Therefore, ∠BCA=∠DCE ...(iii)

Now, in ΔABC and ΔEDC,

Angle, ∠BCA=∠DCE [ from equation (iii)]

Side, BC=DC [ from equation (i)]

Angle, ∠ABC=∠EDC [ from equation (ii)]

So, by ASA property of congruency, ΔABC and ΔEDC are congruent

Hence, ΔABC ≅ ΔEDC.

f(x) = x² + 3x
f(-4)=
evaluate the function

Answers

Answer:

4

Step-by-step explanation:

f(x) = x² + 3x

f(-4) = (-4)^2 + 3×(-4)

= 16 - 12

= 4

Helpppppp
And elephant's heart beats 28 times per minute. Complete
the product to find how many times its heart beats in 30
minutes.
beats X
minutes =
beats
1 minute
1

Answers

Answer:

840 beats in 30 minutes

Step-by-step explanation:

if its 28 a minute than you just need to multiply that by the number of minutes

-2/3(3x - 4) +3x =5/6
What is X

X= -19/6
X= -11/6
X = 21/6
X=29/6

Answers

The value of x from the given linear function is -11/6

Linear equation

Linear equations are expression that has a leading degree of 1

Given the linear equation below

-2/3(3x - 4) +3x =5/6

Expand

-2/3(3x) - 2(-4) + 3x = 5/6

-2x + 8/3  + 3x = 5/6

Collect the like terms

x = 5/6 - 8/3

x = (5-16/6

x = -11/6

Hence the value of x from the given linear function is -11/6

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this is an arithmetic progression. please help!

A graduate is required to pay his education loan of RM3960 in 24 monthly instalments, with the first instalment being RM 50. Subsequent instalments are increased by RM 10 each month. What is the amount of the last instalment?​

Answers

Answer:

The last installment is RM 280

=========================

Given

AP with:

The first term a = 50,Common difference d = 10,Number of terms n = 24.

Solution

Use the nth term equation of AP to find the last installment:

[tex]a_n=a_1+(n-1)d[/tex][tex]a_{24}=50+(24-1)(10) = 50+23*10=50+230=280[/tex]

how do you do this with decimals

Answers

Answer: x=102


Steps:

This is an isosceles triangle which mean 2 angles and 2 sides are congruent. In this case, the 3.3 sides corresponds to the 39 degree angle. This means that the other angle next to x angle is also 39 degrees.

39+39= 78

All the angles in the triangle needs to equal 180.

So subtract 78 from 180 to find the degree of x angle.

180-78= 102

Maria drove 520 miles in 8 hours. How many miles per hour did she drive?

Answers

Answer:

65 mph

Step-by-step explanation:

520/8 is 65

Which value is closest to 0 on the number line?


A. 20

B. -21

C. |2|

D. |-3|

Answers

2

u r the very much welcome

Answer:

The answers C

Step-by-step explanation:

hope this helps

Which expression could be used to determine the product of -4 and 342
o(-4)(3)(-4)
x (
0 (-4)(3) + (-4)
0 %)(-4)=(3 ()
(3)(-4) + (3)

Answers

Answer:

the second answer

Step-by-step explanation:

.........

Max puts a stopper in the bathtub and turns on the faucet at t=0. After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub. Write an equation that relates the number of gallons, g, to the time, t. Does the relationship represent a linear function? Justify your response.

Answers

Answer:

y = 2.2x

Yes, it represents a linear function

Step-by-step explanation:

Given that :

Stopper applied at t = 0

At t = 5 minutes ; water in tub = 11 gallons

At t = 10 minutes ; water in tub = 22 gallons

General form of a linear function :

y = mx + c

Where c = intercept ; m = Slope ; y and x are dependent and independent variables respectively

The intercept = gallon of water at t = 0 ; this is not given and will be taken as 0

Slope = change in y / charge in x

Slope = (22 - 11) / (10 - 5)

Slope = 11 / 5

Slope = 2.2

Hence ;

y = 2.2x + 0

y = 2.2x

Yes, it represents a linear function

32. Which of the following best describes the relationship between AABC and ADEF? (1 point)
B
E
A
TH
D
F
O AACBAFED
O AABC ADEF
O AABC AEFD
O AABC ADFE

Answers

Answer:

2) tri ABC is congreunt to tri DEF

Step-by-step explanation:

you would have to make sure you name the traingles in a specific order so the congruent angles in both triangles are listed in the same order :))

The option that best describes the relationship between AABC and ADEF is AABC ~ ADEF, the correct option is B.

What are similar triangles?

All similar triangles are triangles that share these two features presented as follows;

1. Congruent angle measures.

2. Proportional side lengths.

We are given that;

AB is similar to DE: BC is similar to EF; AC is similar to DF; ZA is similar to ZD; ZB is similar to ZE; ZC is similar to ZF.

Now,

The relationship between two similar triangles is that their corresponding angles are equal and their corresponding sides are proportional1. This means that if AABC and ADEF are similar, then:

∠A = ∠D

∠B = ∠E

∠C = ∠F

AB/DE = BC/EF = AC/DF

To describe this relationship, we can use a notation that shows which angles and sides correspond to each other. For example, we can write:

AABC ~ ADEF

This means that triangle ABC is similar to triangle DEF and the order of the letters shows how they match up. The first letter of each triangle corresponds to the first angle, the second letter corresponds to the second angle, and so on.

Therefore, by similar triangle properties the answer will be AABC ~ ADEF.

More can be learned about similar triangles at; brainly.com/question/14285697

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Im on a test and i need the answer really bad please help me out

Answers

I’m not sure but good luck with your test
Study harder dude fishie on me got fishie I’ll slap ur knee

Which of the following is NOT always true of a function and its inverse?

Answers

The statement that is not always true of inverse functions  is (d) f-1(x) is a function

What are inverse functions?

Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

How to determine the statement that is not always true of inverse functions?

As mentioned above,

The inverse functions are the opposite of an original equation

This means that:

If a function is f(x), then the inverse if f-1(x)

However, all inverse equation are relations, but not all inverse equations are functions

This means that the statement that is not always true of inverse functions  is (d) f-1(x) is a function

Read more about inverse function at

https://brainly.com/question/11735394

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If he drank 80% of his water on his entire hike. How much did he drink? (Remember he brought 3 liters of water.)

p.s i have class

Answers

Answer:

2.4 Litres of water

Step-by-step explanation:

80% of (3 litres)

You can take 3 litres to be 3000 ml which is how I solved it.

OPTION 1_________

80/100 x 3000

=2400 or 2.4 litres

The same can go with not taking ml which you can just use litres

OPTION 2_________

80/100 x 3

=2.4 litres

I used the ml since I do not need the calculator for that one and it is faster to calculate.

PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT

Answers

We know that f(x) is a positive, decreasing, and concave down function.

Therefore, the order, from least to greatest is:

right endpoint (since you're considering the smallest values)actual areamidpoint trapezoidalright endpoint

PLEASE HELP WILL MARK BRAINLIEST Question 8
Which pair of equations show below would have infinite solutions?
Answer
A Y = -2 + 8
y = 4x - 7
B y = x - 4
y = 3x - 2
C) x
x – 3y = -3
x – 3y = 6
D 3x +y = 3
6x + 2y = 6

Answers

Answer:

Step-by-step explanation:

a)y=-2x+8

y=4x-7

solution

b)y=x-4

y=3x-2

solution

c)x – 3y = -3

x – 3y = 6

no solution

d)3x +y = 3

6x + 2y = 6

infinite.

Answer: D

Step-by-step explanation:

Tommy went to Taco World and bought 3 tacos and 4 burritos and spent $14.30. Burritos cost twice as
much as tacos. What was the cost of each taco and each burrito?

Answers

If Tommy spent $14.30 and the cost of burritos is twice as much as tacos then the cost of Taco is $1.30 and the cost of burrito is $2.60.

Given that Tommy spent $14.30 and the cost of burritos is twice as much as tacos .

We are required to find the cost of each tacos and burrito.

Suppose the cost of a taco be x and the cost of burrito be y.

Because the cost of burrito is twice as the cost of taco so y=2x.

Total expenditure by Tommy=3x+4*2x

14.30=3x+8x

11x=14.30

x=1.30

y=2*1.3

y=$2.60

Hence if Tommy spent $14.30 and the cost of burritos is twice as much as tacos then the cost of Taco is $1.30 and the cost of burrito is $2.60.

Learn more about cost at https://brainly.com/question/2021001

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PLEASE HELP WILL MARK BRAINLIEST NEED THE SMARTEST PEOPLE!!!

Answers

Answer:

-430

Step-by-step explanation:

Write the expression in simpliest form WILL GIVE GIVE BRAINLIEST
5 ( x - 1)

Answers

Answer:

5x-5

Step-by-step explanation:

pls give brainliest

Answer:

5x − 5

Step-by-step explanation:

Multiply x by 5, which will give you 5x

Then multiple 1 by 5, you get 5.

You end up with 5x - 5

i need help with this

Answers

Answer: A.3x² - 2x - 6

Step-by-step explanation:

Find the difference: -15 - 47

Answers

Answer:

-62

Step-by-step explanation:

One easy way to subtract two negative numbers like this (for me anyway) is to factor out the minus sign and add:

- (15 + 47)

- (62)

Remove the parentheses

-62

Which two points have the same absolute value?
P Q R S
_______________
-1 0 1

Answers

Answer:

-1 and 1

Step-by-step explanation:

What is the slope of a line perpendicular to the line whose equation is
4x – 3y = –27. Fully reduce your answer.

Answers

Answer:

-3/4

Step-by-step explanation:

We can rearrange the equation to get 3y = 4x + 27. Then we can find the slope intercept form: y = 4x/3 +9. You find the perpendicular slope by solving for the opposite and reciprocal of the current slope 4/3. So we would get -4/3, and then -3/4.

how far away is earth from the sun?

Answers

Answer:

the earth is 93.111 million miles away from the sun

149.85 million kilometres

(7x-1)+(13x-19)=180 solve for x

Answers

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

(7x - 1) + (13x - 19) = 180

Step 2: Solve for x

Combine like terms:                    20x - 20 = 180Isolate x term:                              20x = 200Isolate x:                                       x = 10

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    (7(10) - 1) + (13(10) - 19) = 180Multiply:                               (70 - 1) + (130 - 19) = 180Subtract:                              69 + 111 = 180Add:                                     180 = 180

Here we see that 180 does indeed equal 180.

∴ x = 10 is the solution to the equation.

Someone, please help me!! I don't understand

Answers

All triangle equal 180 degrees so add the 53 and 90 and it’s 90 because it’s a right triangle 53+90= 143 then subtract 143 from 190 so 190- 143= 47 so the missing degree is 47

2 + 2x + 1 = 3 + 2 + 3
A one solution
B no solutions
C infinite solutions

Answers

Answer:

The correct answer is A. one solution.

The actual solution is x = 2.5.

Step-by-step explanation:

Here is the solution below:

Step 1: 2 + 2x + 1 = 3 + 2 + 3 <----- Here is the original problem.

Step 2: 2 - 2 + 2x + 1 - 1 = 8 - 2 - 1 <----- Subtract 1 and 2 from both sides.

Step 3: 2x = 5 <----- Simplify

Step 4: 2x/2 = 5/2  <---- Divide both sides by 2.

x = 2.5

Hope this helps! :D

Answer:

A. One Solution

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form: x=5/2

Decimal Form: x=2.5

Mixed Number Form: x=2 1/2

Easy math problems!!!!!!!!

Answers

Answer:

2√23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. Therefore, we can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = √88

Leg b = 2

Hypotenuse c = x

Step 3: Solve for x

Substitute:                     (√88)² + 2² = x²Exponents:                    88 + 4 = x²Add:                               92 = x²Isolate x:                        √92 = xSimplify:                         2√23 = xRewrite:                         x = 2√23

Answer:

Mm did you do this already its been 4 days just want to make sureee

Step-by-step explanation:

Please help someone anyone please help

Answers

Answer:

if 135 calories represents 1/4 then a whole cup is 540 calories so two cups is 540 times 2 which is 1080

Step-by-step explanation:

Answer:

1080 calories

Step-by-step explanation:

135x8=1080

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