Alexa has $60 already saved and her sister Susan has $120 already saved. Alexa is saving $7 per week and her sister is saving $5 per week. How long will it be before Alexa and her sister have the same amount of money? Write an equation and solve.
Step 1: Define your variable

Step 2: Write an equation.

Step 3: Solve your equation.

Step 4: Check your solution.

Step 5: Write a summary statement explaining your solution in the context of the problem..
Plz help mee

Answers

Answer 1

Step 1:

The variable is the number of weeks needed to equalize Alexa and her sisters savings.

Step 2:

7x + 60 = 5x + 120

Step 3:

7x+60=5x+120

Subtract 60 from both sides.

7x+(60-60)=5x+(120-60)

7x=5x+60

Subtract 5x from both sides

7x-5x=5x+60-5x

2x=60

Divide both sides by 2.

2x/2 = 60/2

x=30

Step 4:

7(30) + 60 = 5(30)+ 120

210+60=150+120

270 = 270

Step 5:

To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.

(tbh got stuck on this one)


Related Questions

HELP HELP HELP HELP HELP PLS
Which describes the solution of the inequality y > −15? Select all the points that are part of the solution.

(0, −20)
(−7, −2)
(4, −15)
(−1, −1)
solid horizontal line through (0, −15) with shading below line
dashed vertical line through (0, −15) with shading to left of line
(15, 2)
dashed horizontal line through (0, −15) with shading above line

Answers

Answer:

dashed horizontal line through (0, −15) with shading above line

Step-by-step explanation:

Answer:

Dashed horizontal line

Step-by-step explanation:

If its multiple choice and you need help just add a comment

and if you need help with any other math homework assignment or anything just DM me on ig

-Stewart.lil2

sorry me and my friend have matching usernames bc (ion een kno but yea)

Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20% by what percentage has his garden changed with these changes?

Answers

Given :

Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20%.

To Find :

By what percentage has his garden changed with these changes.

Solution :

Let, initial length and breadth is x and y.

So, initial area = xy .

Size after increasing them :

y' = y + 0.50y

y' = 1.5y

x' = x + 0.2x

x' = 1.2x

Final area = (1.5y)(1.2x) = 1.8xy

So, percentage increase is :

[tex]= \dfrac{new-original}{original }\times 100\%\\\\= \dfrac{1.8xy -xy}{xy }\times 100\\\\=80 \%[/tex]

Therefore, percentage increase in are is 80%.

Hence, this is the required solution.

quadrilateral ABCD is a parallelogram A(-3,-2) B(-1,2) C(1,1) D(-1,-3)

Answers

Okay

Step-by-step explanation:

i dont understand how to do absolute values someone please help, and fast

Answers

The correct answer is answer A or x=29/2 or x=-15/2.

please help i'll give brainist!

Answers

X is 30 degrees because the other triangle is an equilateral which every angle is 60 degrees. And the angle on A is 60 degrees. So the angle next to it to the left has to make up of 180 degrees. So that one would be 120 degrees. So the other two angles would have to be 30 each.


Answer: 30 degrees

The length of the rectangle is twice the width. Find the length of the rectangle if the perimeter is 42m.

Answers

Answer:

28m

Step-by-step explanation:

2x+x=42

3x=42

x=14

However, since the length of the rectangle is twice the width, we'll need to multiply it by 2.

So: 14 times 2=28

WILL GIVE 75 POINTS!! will send $2 IN CASHAPP!

Here are recipes for two different banana cakes. Information for the first recipe is shown in the table.
1st Recipe: y = 1.5x
2nd Recipe: y = 7/4x
If you used 4 cups of sugar, how much flour does each recipe need?

a. First: 2 cups, Second: 8 cups
b. First: 7 cups, second: 6 cups
c. First: 4 cups, second: 2 cups
d. First: 6 cups, Second: 7 cups

Answers

Step-by-step explanation:

H hvuvuvuvuvuv9yvig kg

HELPPPPPP!!!!
So far this month Aaron calculated that he will earn $40 in commission for his $500 in product sales. If Aaron would like for his commission to be $320, how much will his product sales need to be?

Answers

Answer:

$4000 in product sales

Step-by-step explanation:

[tex]\frac{40}{500} =\frac{320}{x} = 4000[/tex]

Answer:

$4000

Step-by-step explanation:

i) Calculate if $1 = ? commission

500/40 = $12.5

$1 = $12.5 commission

ii) If the commission $320,

320×12.5=4000

His product sales need to be $4000

Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there are 12 cookies in each dozen, what is the cost per cookie?



Answers

Answer:

you have  to divide 12 by 15

Step-by-step explanation:

CAN SOMEONE HELP ME

Answers

Answer is 4/5
Hope this helped

what is the density of 9 cm³ gold cube with 450 g in a mass?​

Answers

Answer:

Answer is 50g/cm^3

Step-by-step explanation:

soln,

Volume of the gold cube = 9 cm^3

Mass of the gold cube = 450 g

now,

density= mass/volume

=450 / 9

=50 g/cm^3

{Therefore, the density of the gold cube is 50 g/cm^3.}

can someone help me fill this out....​

Answers

Answer:

Step-by-step explanation:

First Line:

0, 1//7, 2/7, 3/7, 4/7, 5/7, 6/7, 1, 8/7, 9/7, 10/7

Second Line:

-1/3, 0, 1/3, 1/2, 1, 4/3

Third Line:

0, 1/3, 2/3, 1, 4/3, 5/3, 2

You are allowed to eat at most 12 pieces of candy. You have already eaten 2. Write an inequality and solve to find how many more piece of candy you can eat.

Answers

Answer:

One of the below.

Step-by-step explanation:

12-2=10      2+x=12    

2 Write the equation of the line that goes
through (-2, 4) and is parallel to the line y = 1/2 x + 2

Answers

hi

if the twi lines are  parallel , they have the same slope.

So  slope  is   1/2.  

equation of a line is  :  mx +p

The line goes throught  (-2 ; 4)

We have    1/2 ( -2)  + p =  4

                   -  2/2  +p = 4

                   -1 +p = 4

                       p = 4+1

                       p = 5

equation of the line  is   y = 1/2x +5

Mai uses Triangle A and says the slope of this line is `\frac{6}{4}.` Elena uses Triangle B and says no, the slope of this line is `1.5.` Do you agree with either of them? Explain.

Answers

Answer:

I agree with both of them because they are both correct

Step-by-step explanation:

See attachment for complete question;

Slope (m) is calculated using the following formula:

[tex]m = \frac{Rise}{Run}[/tex]

Where

[tex]Rise = Vertical\ Distance[/tex]

[tex]Run = Horizontal\ Distance[/tex]

From the attachment, we have the following:

Triangle A

[tex]Rise = 6\ units[/tex]

[tex]Run = 4\ units[/tex]

So:

[tex]m = \frac{Rise}{Run}[/tex]

[tex]m = \frac{6}{4}[/tex]

In this case, Mai is correct:

Triangle B

[tex]Rise = 1.5\ units[/tex]

[tex]Run = 1\ units[/tex]

So:

[tex]m = \frac{Rise}{Run}[/tex]

[tex]m = \frac{1.5}{1}[/tex]

[tex]m = 1.5[/tex]

In this case, Elena is also correct:

HELPP!! BRAINLIEST AND 10 POINTS !!

Answers

Answer:

y = ax^2 + bx + c

Given f(x) = 4x-6 and g(x) = f(2x) what is an equation for the function g?

a) g(x) = 2(4x-6)
b) g(x) = 4x-12
c) g(x) = 8x-6
d) g(x) = 2(4x-6)-6

Answers

Answer: g(x) = f(2x) = 4(2x)-6= 8x-6 => c

Step-by-step explanation:

Can somebody plz help answer these questions correctly. It’s about like dividing integers and tat type of stuff! Thanks
WILL MARK BRAINLIEST

Answers

Answer:

tytrugivffhet GG hfjeyrebrwryehyeujxhfr

A person can pay $24 for a member to the art museum and then go to the art museum can make for a total cost of 44$ ?

Answers

Answer:

tyhjhngbfr

Step-by-step explanation:

gbftrfedvgbhnjyh yeet

Diego is thinking of two positive numbers. He says, "If we triple the first number and double the second number, the sum is 34." a. Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of. b. Diego then says, "If we take half of the first number and double the second, the sum is 14." Write an equation that could represent this description. c. What is Diego's two numbers? Explain or show how you know. A coordinate plane is given here, in case helpful.

Answers

Answer:

x = 8

y = 5

Step-by-step explanation:

Let

x and y = the two positive numbers

a. 3x + 2y = 34 (1)

b. 1/2x + 2y = 14 (2)

Solve the simultaneous equation

3x + 2y = 34 (1)

1/2x + 2y = 14 (2)

Subtract (2) from (1)

3x - 1/2x = 34 - 14

6x-x/2 = 20

5/2x = 20

x = 20 ÷ 5/2

= 20 × 2/5

= 40/5

= 8

x = 8

Substitute x = 8 into (1)

3x + 2y = 34 (1)

3(8) + 2y = 34

24 + 2y = 34

2y = 34 - 24

2y = 10

y = 10 / 2

= 5

y = 5

Diego's two numbers are 8 and 5 respectively

Find the equation of the line that is perpendicular to the given line and passes through the given point.

y = −1/2x − 3; (14, 0)

The equation is y = ?

Answers

Answer:

[tex]y=2x-28[/tex]

Step-by-step explanation:

Slope intercept form:

[tex]y=mx+b[/tex]

where:

m is the slope (change in the y values over the change in the x values)b is the y-intercept (where x is 0)x and y are corresponding coordinate points (x,y)

When two lines are perpendicular, their slopes will be opposite reciprocals.

examples:

[tex]\frac{1}{3}[/tex] → flip the fraction and change the sign → [tex]-3[/tex]

-5 or [tex]-\frac{5}{1}[/tex]→ flip the fraction and change the sign → [tex]\frac{1}{5}[/tex]

[tex]\frac{5}{7}[/tex] →flip the fraction and change the sign →[tex]-\frac{7}{5}[/tex]

So find the opposite reciprocal of the given slope:

[tex]y=(slope)x+(y-intercept)\\\\y=-\frac{1}{2} x-3\\\\slope=-\frac{1}{2}[/tex]

Flip the fraction and change the sign:

[tex]-\frac{1}{2}[/tex] → [tex]\frac{2}{1}[/tex] or [tex]2[/tex]

Now insert the new slope and the given points into point-slope form:

[tex]y-y_{1}=m(x-x_{1})\\\\(14_{x_{1}},0_{y_{1}})\\\\y-0=2(x-14)[/tex]

Solve the equation for y. Use the distributive property:

[tex]y-0=2(x)+2(-14)\\\\y-0=2x-28[/tex]

Simplify:

[tex]y=2x-28[/tex]

:Done

The birth weights of newborn babies in the United States follow a normal distribution with a mean of 3.4 kg and a standard deviation of 0.6 kg. Researchers interested in studying how children gain weight decide to take random samples of 100 newborn babies and calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution

Answers

Answer:

3.4 kg

0.06 kg

Step-by-step explanation:

Given that:

Birthweight follows a normal distribution :

Mean weighf (m) = 3.4 kg

Standard deviation (σ) = 0.6 kg

Sample size (n) = 100 new born babies

calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution

The sample mean birth weight = population mean birth weight for a normal distribution according to the central Limit theorem.

Hence, sample mean birth weight = 3.4kg

Standard deviation of sampling distribution = standard error = σ/√n

0.6 / √100

= 0.6 / 10

= 0.06 kg

Using the Central Limit Theorem, it is found that:

The mean is of 3.4 kg.The standard deviation is of 0.06 kg.

Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem:

Mean of 3.4 kg, hence [tex]\mu = 3.4[/tex].Standard deviation of 0.6 kg, hence [tex]\sigma = 0.6[/tex].Samples of 100, hence [tex]n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06[/tex]

Hence, the mean of the sampling distribution is of 3.4 kg and the standard deviation is of 0.06 kg.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/24663213

#2: Solve the linear system below using the elimination method. Type your
answer as an ordered pair in the form (#,#). *
5x + 7y = 33
11x + 7y = 39
+

Answers

The given linear system is:

[tex]\displaystyle \left \{ {{5x+7y=33} \atop {11x+7y=39}} \right.[/tex]

The question is asking to solve using elimination. When eliminating, you can either eliminate x or y. In this system, y is much easier to eliminate. The y variable in both equations are 7y. To eliminate, one of them has to be negative, so multiply one of the equations by -1.

I will be multiplying the second equation by -1.

[tex]\displaystyle (11x + 7y = 39) \times -1 = -11x-7y=-39[/tex]

Rewrite the system:

[tex]\displaystyle \left \{ {{5x+7y=33} \atop {-11x-7y=-39}} \right.[/tex]

Subtract:

[tex]5x+7y=33\\-11x-7y=-39[/tex]

[tex]5x-11x=33-39\\-6x=-6[/tex]

Lastly, you need to leave the variable x alone. The variable is currently -6x or -6 times x. To remove it, you need to do the opposite of it, which is dividing by -6.

[tex]\displaystyle \frac{-6x}{-6} =\frac{-6}{-6}[/tex]

[tex]\displaystyle x=1[/tex]

Now that you have the value of x, substitute it into one of the equations to find y. I will be substituting it into the first equation.

[tex]5x+7y=33 \rightarrow 5(1)+7y=33[/tex]

Open the parentheses and multiply:

[tex]5+7y=33[/tex]

Move 5 to the other side to leave the variable alone:

[tex]5+7y-5=33-5[/tex]

You will be subtracting since you're "removing" it by doing the opposite of it.

[tex]7y=28[/tex]

Lastly, divide both sides by 7 to leave y alone.

[tex]\displaystyle \frac{7y}{7} =\frac{28}{7}[/tex]

[tex]y=4[/tex]

[tex]\displaystyle (x,y) \rightarrow (1, 4)[/tex]

The answer is (1, 4).

Answer:

(1, 4)

Tbh this question was a bit of a challenge for me but hopefully it helps ya.

Step-by-step explanation:

First, let's solve for y. So we have to eliminate the x values.

(5x + 7y = 33 ) *11

(11x + 7y = 39) *-5

___________

55x + 77y = 363

-55x -35y = -195   This eliminates the x value.

42y = 168 Divide both sides by 42 to isolate y: 168/42=   y = 4

Now let's solve for x.

(11x + 7y = 39) *7

(5x + 7y = 33 ) *-7

___________

77x + 49y = 273

-35x -49y = -231   This cancels out the y values, which leaves 42x = 42

x = 1 and y = 4, so the answer is (1, 4)

Which graph shows a function with a zero of –5?

Answers

Answer:

Look for the y-intercept where the graph crosses the y-axis. Look for the x-intercept where the graph crosses the x-axis. Look for the zeros of the linear function where the y-value is zero.

Step-by-step explanation:

Where’s the graph.........

5) Which is the better deal for mechanical
pencils?
(Hint: better deal means CHEAPER!)
Target: 4 pencils for $1.25
Staples: 25 pencils for $5.69

Answers

Answer:

Staples

Step-by-step explanation:

5.69/25<1.25/4

Answer:

Target

Step-by-step explanation:

Buying let's say you buy 4 packs close to the amount of Staples you'd get 16 pencils.

(ps sorry if I'm wrong lol)

ariana takes a handful of cookies and divides them evenly between her 3 kids. then she grabs one more cookie for each kid. if each kid got 4 total cookies. how many did she have in her original handful

Answers

Answer:

9 cookies in her original handful

Step-by-step explanation:

3 times 4 equals 12

12-3=9

A store charges 5.5 % sales tax on all items. If an item costs d dollars before tax, which expression represents the total cost of the item, in dollars and cents, after tax?

Answers

Answer: d + 0.055d or 1.055d

Step-by-step explanation:

Cost of item = d

Sales tax percent = 5.5%

Total cost = Cost of item + Sales tax

= d + (5.5% × d)

= d + (5.5/100 × d)

= d + (0.055 × d)

= d + 0.055d

= 1.055d

Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:

d + 0.055d or 1.055d.

5/6 divided by 2/3 (please show work!)

Answers

Answer:

Theres the work sorry if im wrong

Step-by-step explanation:

5

-

6 and 2

-

3 =10/18

Answer:

5/4 or 1 1/4

Step-by-step explanation:

Multiply by the reciprocal:

5/6 • 3/2

Reduce with the greatest common factor, which is 3:

5/2 • 1/2

Finally, multiply:

5/4 or, as a mixed fraction, 1 1/4

Bella is working on the world record for longest beaded necklace. She has 10,000 glass beads that have a diameter of 0.4 cm. If she strings these beads end to end, how long will her necklace be.

Answers

Answer:

The necklace will be 4,000 cm long

Step-by-step explanation:

Here we want to calculate the length of the necklace

Mathematically, that would just be the product of the beads and the diameter of each bead

Hence, we have

10,000 * 0.4 = 4,000 cm

Elena and Jada are 24.5 miles apart on a path when they start moving toward each other. Elena bikes at a constant speed of 8 miles per hour, and Jada runs at a constant speed of 6 miles per hour. How long does it take until Elena and Jada meet? Explain your reasoning.

Answers

Answer:

when they reach each other Elana would have gone 16 miles for 2 minutes And jada would  for a minite to reach elana

Step-by-step explanation:

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