Heather and Alyssa are saving money for summer break. Heather currently has $50 in her savings account and she will save $25 per week until summer break. Alyssa currently has $200 in her savings account and she will save $10 per week. They want to know when they will have the same amount of money in their bank accounts. Which system of equations represents this situation?

Answers

Answer 1

Answer:

Tilt your head back and allow your mouth to hang open widely.

Contract the back of the throat and breathe deeply through your mouth.

Inhale and exhale completely while relaxing the shoulders.

When the yawn comes “reach and extend into it” to stretch the jaw muscles.

Step-by-step explanation:

Answer 2

Answer:

10 weeks, Substituion Equation.

Step-by-step explanation:

(Assume that x= 'per week').

We can write this as 50 + 25x=y for Heather's savings, &

                               200 + 10x=y for Alssa's savings.

We can combine these equations to make 200 +10x= 50+25x, because we know 50+25x=y, like we found out in the first equation. We can now subtract 25x from each side, and subtarct 200 from each side, to get

10x - 25x = 50 - 200, which can be simplified to -15x=-150. If we divided each side by -15, we get 10. Therefore, it will take 10 weeks for them to have the same amount of money. I think this is the Substituaion Equation


Related Questions

please help fast i only have 30 min !!!!!

Answers

Question 1: A, D, E
Question2: 50 and 100 are two possible solutions to the inequality that is true

How many different ways can you solve a quadratic equation ? List them.

Answers

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

Which expression is equivalent to 7(y - 8)?

Answers

Answer:

In this question , we have to find the equivalent expression.

Step-by-step explanation:

To find the equivalent expression of a fraction, we can either multiply numerator and denominator by same variable or same number, or we can divide both numerator and denominator by same number or same variable .

So if we multiply both numerator and denominator by 2, we will get 14/16

Step-by-step explanation:

7(y-8) = 7y-7(8) = 7y- 56

solve em for me please

Answers

Take another pic thats clearer

dil, Coleman
Jackie has a closet with 6 red dresses and 2 blue dresses. What is the likelihood of Jackie pulling a red dress out of the closet if she does it without looking?
O certain
likely
O impossible
O unlike

Answers

Answer: likely

Step-by-step explanation: Since they pulled out many red dresses, there is a better chance of pulluing out a red dress

if cot a =5/12 then find the value of cosec A​

Answers

Answer:

cosec A = 13/12

Step-by-step explanation:

Mathematically, we want to find the value of cosec A

sides 5,12 and 13 represent a Pythagorean triple. This means the last side of the right-triangle that contains 5 and 12 is 13

cot is the ratio of the adjacent to the opposite

Hence ; 5 represents the adjacent while 12 represents the opposite

cosec is the inverse of sine which is the hypotenuse to the opposite ratio

So, we have ;

cosec A = 13/12

Can someone help me with question 4 please

Answers

Answer:

Please find attached pdf

Step-by-step explanation:

the sum of the measures of all angles of a kite is ____ 180º (sometimes, always, never)

Answers

12 is the answer lol jk I did
12 I did the quiz and I got 100% on it

HELP IS OVERDUED AND I NEED THE CORRECT ANSWER AND WORK BY TODAY BEFORE SHE COUNTS IT LATE!!!!! ALMOST 3:20am!!!!! The answer written is NOT my answer.

Answers

Answer:

978 in^2

Step-by-step explanation:

the area of the rectangle:

24in X 30in = 720 in^2

the area of the two similar triangles:

12 X 9 / 2 + 12 X 9 / 2 = 108 in^2

the area of the last triangle:

20 in X 15 in /2 = 150in^2

.

the total area is the sum of the areas:

720in^2 + 108in^2 + 150in^2 = 978in^2.

PLEASE SHOW FULL SOLUTIONS !!!!! WILL MARK BRAINLIEST FOR THE BEST ANSWER. THANK YOU AND GOD BLESS.

Here is the Question:
The system y = 4x - 7 and 2y = ax + b has no solution. Determine the value(s) of a and b for which this is true.

Answers

Answer:

a = 8

b ≠ 18

Step-by-step explanation:

y = 4x - 7

2y = ax + b

For there to be no solution, the lines (if graphed) should be parallel meaning that their slopes are equal but the y-intercepts are different

y = mx +b is the equation of a line where m is the slope and b is the y-intercept

Multiply the first equation by 2

2y = 8x - 14

2y = ax + b

So a has to equal 8

b can be anything except 14 (otherwise the lines would be the same)

9514 1404 393

Answer:

a = 8b ≠ -14

Step-by-step explanation:

Multiply the first equation by 2 and you get ...

  2y = 8x -14

Compare to the second equation ...

  2y = ax +b

The pair of equations will have no solution if they describe parallel lines. That is, a = 8 and b ≠ -14.

__

For a ≠ 8, the lines will intersect and there will be one solution.

For a = 8 and b = -14, the lines will be coincident, and there will be infinite solutions.

helpp what is the y- value when x equals 21? y = 650 - 16 (x)

Answers

Answer:

y = 314

Step-by-step explanation:

y = 650 - 16x

y = 650 - 16(21)

y = 650 - 336

y = 314

Solve for brainliest

Answers

Answer:

c

Step-by-step explanation:

c

. (08.02)
Each level of a smartphone app adds more gems for you to match. for On level one, there were 13 gems. On level twelve, there were 123 gems. When you complete all twelve levels, how many total
gems will you have matched? (2 points)
© 605
© 660
O 748
© 816

Answers

Answer:

816

Step-by-step explanation:

This is what I got let me know if it is correct.

Answer: 816

Step-by-step explanation:

took the test and got it right :)

The temperature is 92. The temperature decreases for 5 hours. Each hour, the temperature decreases by 2. Then the temperature rises 14 in one hour. What is the temperature after 6 hours?​

Answers

After 6 hours the temperature is 96.
Explanation: 5x2=10 92-10=82 82+14=96.

so im watching Buffy while doing class and completly forgot

Answers

Answer: Buffy is a tv show about a dog that eats rabbits!

Step-by-step explanation:

Answer:

whats the question?

Step-by-step explanation:

cant answer without knowing what the question is about. sorry :(

“ it will take 1 2/3 hours” what is the 2/3 in minutes ?

Answers

Answer:

40 minutes

Step-by-step explanation:

2/3 x 60 = 40

In a system of equations, two different lines intersect. How many solutions does the
system have?
a) Zero
b) One
c) Two
d) Infinitely many

Answers

A) One
If the line is intersecting and is parallel then the line will only intersect once at one point

can someone help me wit dis plz​

Answers

Answer:

58.6

Step-by-step explanation:

cos(35) = 48

             ------- = 58.6

                 x

             

How much longer will it take a car traveling at an average speed for 2 miles per hour to make the trip from San francisco to New York than a Dc10 jet flying at an average speed of 500 miles per hour

Answers

Answer:

1445.6 hours

Step-by-step explanation:

Distance between New York and San Francisco = 2902.8 miles (checked online)

Average speed of car = 2 mi/hr

Average speed of jet = 500 mi/hr

Time taken by Jet:

Time taken = Distance / speed

Time taken = 2902.8 / 500

Time taken = 5.8056 = 5.8 hours

Time taken by Car :

Time taken = Distance / speed

Time taken = 2902.8 / 2

Time taken = 5.8056 = 1451.4 hours

Time difference :

1451.4 - 5.8 = 1445.6 hours

What is the length of each leg of the triangle below?
O A. 15
O B. 11.3
O c. 11
O D. 1
O E. 11
O F. 22

Answers

Answer:-
(Apply the formulas urself)
Acc. to Pythagoras theorem:
>> a^2 + b^2 = c^2

>> sinθ = P/H
cosθ = B/H
tanθ = P/B

Note: P means Perpendicular
B means Base
H means Hypotenuse

I need the answer fast ASAP

Answers

Answer:

a rotation followed by a dilation

Step-by-step explanation:

they first rotated the figure by 90 degrees, they then dilated by a scale factor of 3

Which event is UNLIKELY?
Impossible
Equally likely to
happen or not happen
Unlikely
Certain
Likely
0
0%
0.25
25
2
0.5
50%
0.75
75%
1
100%
P(honor roll) = 1.0
P(left-handed) = 33% A
P(failing math) = 0%
P(taking Spanish) = 60%
P(honor roll)
P(taking Spanish)
P(left-handed)
P(failing math)

Answers

Answer:

left handed

Step-by-step explanation:

Please Help ASAP I’m confused

Answers

Answer:

a.12 feet is the answer pythagorean theory

Answer: 12

Step-by-step explanation:

For this question you would have to use pythagoras' theorem.

The formula to work out the shorter side is a²=c²-b² so for this question it would be a²=13²-5² when you put the numbers in the formula.

13²=169

5²=25

a²=169-25

a²=144

Then to work out a on it's own you would square root 144.

The square root of 144 is 12.

Tyrell and Channing both work at the same fast food restaurant. Channing works 5 hours and earns $42.75. Tyrell's earnings are modeled by the equation E = 8h, where h is the number of hours worked and E represents his total earnings. Which of the following statements must be true?
a.Channing earns more money per hour than Tyrell.
b.Tyrell earns more money per hour than Channing.
c.Channing and Tyrell each earn the same amount of money per hour.
d.Tyrell works twice as many hours per week as does Channing.

Answers

Answer:

A. Channing makes $8.55 an hour compared to Tyrell who only makes $8 an hour.

Step-by-step explanation:

To find how much Channing makes an hour, divide the amount earned ($42.75) by the hours he worked (5). So, 42.75/5=8.55 which is Channing's hourly wage. Tyrell's hourly wage was already given to us in the equation E=8h. 8 times his hours works= his earnings. 8.55>8.00

What is the result when the number 27 is increased by 1.6%?

Answers

Answer:

27.432

Step-by-step explanation:

27 = 100%

divide by one hundred to get one percent

0.27 = 1%

Divide this by two to get 0.5%

0.135 = 0.5%

Divide by 5 to get 0.1%

0.027 = 0.1%

Add

0.27 + 0.135 + 0.027 = 0.432 =1.6%

Add 0.432 to 27

27.432

Write 18 out of 30 as a fraction in its simplest form.
a) 6/10
C) 18/30
b) 60/100
d) 3/5​

Answers

Answer:

d). 3/5.

Step-by-step explanation:

The greatest common factor of 18 and 30 is 6, so we divide top and bottom of the fraction by 6:

18/30

= (18/6) / (30/6)

= 3/5.

In ΔQRS, q = 99 cm, r = 17 cm and s=96 cm. Find the measure of ∠S to the nearest degree.

Answers

74.95 or 75 I think

Step-by-step explanation:

I put it into a triangle calculator, so it could be wrong.

The measure of the angle S from the given triangle QRS is 65°.

What is cosine rule?

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔQRS, q = 99 cm, r = 17 cm and s=96 cm.

96²=99²+17²-2×99×17cosS

9216=9801+289-198cosS

-874=-198cosS

cosS=4.14

∠S=65°

Therefore, the measure of the angle S is 65°.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ2

An airplane has a maximum capacity of 118 passengers. The flight attendant has loaded 40 passengers. Which inequality represents the solution set that the number of passengers, p, that can still load the plane?
A). p is greater then or equal to 68
B). p is less than or equal to 68
C). p is less than or equal to 78
D). p is greater than or equal to 78

Answers

Answer:

118-40=78

p either is less tham or equal to 78

the answer is c

If the ratio of blue blocks to red blocks is 5:7,
what is the ratio of red blocks to blue blocks?

Answers

Answer: 7:5

Step-by-step explanation: You just reverse it.

Since the ratio of blue blocks to red blocks is 5:7, you’d need to flip it in order to get the ratio of red blocks to blue blocks. This would be 7:5.

find the volume please

Answers

Answer:

Volume ≅ 1407.4

Step-by-step explanation:

Since this shape is a cylinder we need to use the formula for the bolume of a cylinder, which is...

V = π[tex]r^{2}h[/tex]

(where "h" is the heigh of the cylinder)

Now we just substatute the values, and so we get...

V = π[tex]r^{2} h[/tex]

V = π[tex]8^{2}(7)[/tex]

V = 64π(7)

V = 448π

V ≅ 1407.4

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