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

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

Answer:

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

Step-by-step explanation:

Slope intercept form:

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

where:

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

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

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:

Answer:

tyhjhngbfr

Step-by-step explanation:

gbftrfedvgbhnjyh yeet

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

Answer:

you have  to divide 12 by 15

Step-by-step explanation:

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)

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:

In this problem:

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

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

Step-by-step explanation:

Answer:

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:

Step-by-step explanation:

H hvuvuvuvuvuv9yvig kg

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

Answer:

One of the below.

Step-by-step explanation:

12-2=10      2+x=12    

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.

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.

Okay

Step-by-step explanation:

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

Answer:

y = ax^2 + bx + c

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

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

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.}

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)

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:

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)

Answer:

9 cookies in her original handful

Step-by-step explanation:

3 times 4 equals 12

12-3=9