Write and solve a system of equation for each problem?

Ellen bought new fish for her home aquarium. She bought 4 Turquoise Guppies and 3 Sunburst Tetra GLO Fish and spent a total of $41.73. Danielle bought 3 Turquoise Guppies and 5 Sunburst Tetra GLO Fish for a total of $56.02. How much was one Turquoise Guppy.

Answers

Answer 1

Answer: Ellen: 4t + 3s = 41.73

Danielle: 3t + 5s = 56.02

t = $3.69 each

Step-by-step explanation:

with 4t + 3s = 41.73 and 3t + 5s = 56.02

you need yo eliminate s to get t so multiply 3t + 5s = 56.02 by -3/5 to get

-9/5t - 3s = -33.612 then add 4t + 3t = 41.73 to get

11/5t = 8.118 then divide 8.118 by 11/5 to get

t = 3.69


Related Questions

A block of cheese is in the shape of a rectangular prism with a width of 2.5 inches and a height of 5 inches. The volume of the block of cheese is 75 cubic inches. What is the length of the block of cheese?

Answers

Answer:

The formula for volume is l x w x h.

Step-by-step explanation

To find the missing link, we do the equation backwards.

l x 2.5 x 5 = 75

If we divide 75 by 5 then by 2.5, we get 6 which becomes our length.

To check, do 5 x 2.5 x 6 which should equal 75

6 is your length

Please help I suck at math and don’t pay attention

Answers

3/5/20 Previous Balance - $2,200.25

3/6/20 ATM withdrawal - $50.00

3/10/20 Groceries (debit card purchase Dinky’s Supermarket) - $115.25

3/13/20 Electric Bill (write a check to Electropolis Electric Company) - $19.55

3/15/20 Rent (write a check to Duckworth Apts. Inc.) - $675.00

3/17/20 Car Insurance (write a check to States Insurance) - $125.00

3/18/20 Cleaning supplies (debit card purchase) - $11.40

3/18/20 Cable/Internet bill (write a check to Infinity Cable) – $50.53

3/20/20 Paycheck - $1,500.00

3/21/20 Charitable Donation (write a check to Help the Children Fund) - $35.00

3/22/20 Insurance co-pay (write a check to Dr. Hipbone) – $20.00

3/23/20 VOID check number 1026- Pumpkin Gas Station does not accept checks

3/23/20 Gasoline (debit card purchase for Pumpkin Gas Station) - $27.67

3/24/20 Haircut (debit card purchase for Pink and Blue Hair Salon) - $45.00

3/24/20 Birthday gift from Aunt Hortense - $40.00

3/27/20 Groceries (debit card purchase Dinky’s Supermarket) - $79.55

3/29/20 ATM withdrawal - $75.00

3/31/20 Gym Dues (write a check to Super Pump Gym) - $22.00

3) Who is the payee of the first check?

4)What was the amount of the check?

5) What was the check for?

6)What is the routing number on the check?

7) What is Jessie’s bank account number?

8) Fill out the next five checks as indicated above with the checks provided. Be sure to complete all the information including the memo.

9)Jessie Robinson’s check register does not match with her bank statement. There are three discrepancies. Indicate what are the discrepancies?

10)What is Jessie Robinson’s checking account balance?

11)Check your work and make sure the math in the check register is accurate.

the answer is d

I NEED THIS ASAP I'LL GIVE BRAINLIEST

Marina simplified the expression 4x + 5(–4x – b) – (x – 2) to be –17x – 8.

What was the value of b?


A. -6

B. -2

C. 2

D. 10

Answers

Answer:

C.)

Step-by-step explanation:

4x -20x -5b -x +2=-17x -8

-17x-5b+2=- 17x-8

+17x +17x

-5b +2= -8

-2 -2

-5b = -10

b= 2

hope this helps.

The answer is : C. 2

Solve each of the following equations. Show its solution set on a number line. Check your answers. 2x-3=2

Answers

Answer:

x - 2.5

Step-by-step explanation:

2x -3 = 2

2x = 5

x = 2.5

Hope this helps!

The above step by step is correct and here it is on the number line

In 24 weeks Amanda earned $4,924 selling cars. She earns the same amount of money each week. Let “n” stand for the amount she earned each week. How much money does Amanda earn in one week?

explain how you got your answer 9basically put the work in the explanation

Answers

Answer:

Let's assume that Amanda earns the same amount of money each week, and we'll represent that amount as "n".

We are given that in 24 weeks, Amanda earned a total of $4,924. We can set up an equation to represent this information:

Total earnings = Amount earned per week * Number of weeks

$4,924 = n * 24

To find the amount Amanda earns in one week, we need to solve for "n". We can do this by dividing both sides of the equation by 24:

$4,924 / 24 = n

To calculate this, we can use a calculator or perform long division:

n ≈ $205.17

Therefore, Amanda earns approximately $205.17 in one week.

Step-by-step explanation:

3.14 x 60^2 x 30
what is the answer rounded to the nearest tenth?

Answers

I got 11,304. I don't know if that's right or if it's wrong. Let me check again

The "sum" of two numbers is: A the result when both numbers are added together B the result when the first number is subtracted from the second number C the result when the first number is multiplied by the second number D the result when the first number is divided by the second number

Answers

Answer:

A the result when both numbers are added together

The sum of two numbers is A

3/5 x 10 in simplest form

Anwser Key: 6 3/5
35/5
6
6 1/5

Answers

Answer:

6

Step-by-step explanation:

PLEASE HURRY I WILL GIVE BRAINLEIST

6x−7=2x+13

Rent-A-Tent rents party tents for a flat fee of $365 plus $125 a day. Capital Rentals rents party tents for a flat fee of $250 plus $175 a day. Delia wrote the following equation to find the number of days for which the total cost charged by the two companies would be the same.

365x+125=250x+175
Find and explain the error in Delia’s work. Then write the correct equation.


2x+14=4x−6

Ten less than 3 times a number is the same as the number plus 4.
Six times a number plus 4 is the same as the number minus 11.
the product of 3 and a number minus 10 is the same as four times the number
the sum of a number and 6 is the same as the number times 11.

.Shawn’s Rental’s charges $27.50 per hour to rent a surfboard and a wetsuit. Darla’s Surf Shop charges $23.25 per hour to rent a surfboard plus $17 extra for a wetsuit. Write and solve an equation to determine the rental period in hours for which the charges for Shawn’s Rentals will be the same as the charges for Darla’s Surf Shop. Explain the steps of your solution.

Answers

Oh wow thats a lot so lets just do speed round:
1. x=5
2. Delia mixed up the flat fees with the daily fees. The equation should be 125x+365=175x+250
3. x=10
4. 3x-10=x+4
5. 6x+4=x-11
6. 3x-10=4x
7. x+6=11x
8. 27.5x=23.25x+17
(solving)
4.25x=17
x=4

ㅤpoint c and point d are plotted on the graph. plot points a and b to form rectangle abdc with an area of 36 square units. plot point e at (2, 4).

Answers

Answer:

A:(2,2)  B: (-4,2)

Step-by-step explanation:

A = (2, 2) | B = (-4, 2)

A sailboat and catamaran are in a race to see who can sail across the Atlantic ocean the fastest..

.The sailboat covers a distance of 3240 miles in 8 days
.The catamaran covered a distance of 4020 miles in 10 days
If the sailboat is able to maintain a constant rate for 10 days, how many more miles would they have traveled than the catamaran?

Answers

Answer:

The sailboat would cover 30 more miles than the catamaran.

Step-by-step explanation:

To find how many miles the sailboat goes in 1 day (unit rate) you divide 3240/8 that gives you 405 miles in one day. Multiply that by 2 to get 810 miles in two days. Add 810+3240=4050. That shows that in 10 days the sailboat would travel 4,050 miles which is 30 miles more than the catamaran.

Find an ordered pair , x y that is a solution to the equation. 5x-y=9

Answers

Answer:

(1, -4)

Step-by-step explanation:

In order to find a solution to a linear equation, we can substitute any value for one variable, simplify the equation, and find the value of the other variable to find a solution that is an ordered pair.  

Since any value for either variable will do, we can choose something simple, such as 1. I chose to substitute 1 for x into the equation, as seen below.  

[tex]5x-y = 9\\5(1)-y = 9[/tex]

Now, all I need to do is solve and isolate y:

[tex]5(1)-y = 9\\5-y = 9\\-y = 4\\y =-4[/tex]

So, with this linear equation, when x equals 1, y equals -4. Thus, a solution to the equation is (1, -4).

answer this pls

equation 9(2j + 5j).

use mathematical properties to create two expressions that are equivalent to the expression you created

Answers

the solution is 9(7j)
The answer is 63j

9(2j+5j)=9X7j=63j

HEY YOU GUYSSS. I need help asap, I'm doing an extra credit assignment for math and I need to know the formula for any of these questions. THANKS

Answers

Answer:

1) S

2) M

3) I

4) E

5) A

6) L

thats what i got but i dont know y it isnt a proper word.

Answer:

1) S

2) M

3) I

4) E

5) A

6) L

Step-by-step explanation:

plz help me due in 30min

Answers

Answer:

$2.20

Step-by-step explanation:

$39.80/4= $9.95 per ticket

$46.50/6= $7.75 per ticket

$9.95-$7.75= $2.20 as your difference

I think this is right, I hope I helped!

2.20 [•_•] Bc yeahhhh

The inequality x ≥ 25 can be used to represent the distance an athlete runs each week, where x is the distance in miles.
Which of these statements best describe the distance run by the athlete each week?

1. The distance is more than 25 miles.
2.The distance is no more than 25 miles.
3.The distance is at least 25 miles.
4.The distance is less than 25 miles.

Answers

Answer: 3

Step-by-step explanation:

because  that symbol means equal to or greater than/ equal to or less than depending which way its facing.

The answer is 3 as the symbol represents more than equal to meaning it can be more or equal to 25

please help me on this review of inequalities assignment!

Answers

Answer:

3:      x_> 16     4: x _>100 5: x>3    6:  x_< 200  

Step-by-step explanation:

I did this sheet.

please put an explanation pleaseeeeeeeeeeeee

Answers

Answer:

d

Step-by-step explanation:

Simplify the expressions by combining like terms

-4f - 9 - f + 15

Answers

Answer:

-5f    +6

Step-by-step explanation:

-4f - 9 - f + 15

Combine like terms

-4f -f    -9 +15

-5f    +6

Answer:

-5f+6

Step-by-step explanation:

as we add like terms -4f+(-f)=-5f

-9+15=6

2/3x+1=2/3x-1 solve for x and show work plz

Answers

Answer:

this equation is not valid.

.............

...........

Please help! sort the equations by whether they are polynomial or not (picture attached)

Answers

Answer:

The ones with the square root and fractions are not polynomials and the one with the negative powers and the x^2+3x^5-6x+12x^3 are not polynomials. The rest are.

Step-by-step explanation:

If this has helped you, please mark brainliest. I can explain if you want, let me know in comments.

A customer must be no more than 12 years old to order from the kids’ menu at a restaurant.
Which number line below represents a, the age of a customer who can order from the kids’ menu?

Answers

Answer: I am not a big fan of this app but it has been crashing since I downloaded the update so it could have a little bit of an issue.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

ANSWER PLSSSSSSSSSSSSSSS SOMEONE

Answers

The answer is A. Cause it’s the only one the says mi per hour

I need help also I did not mean to click c so that might not be the answer so please don't put c as your answer unless you are certain that c is the answer.

Answers

Answer:

  D.  (43 +60) +40

Step-by-step explanation:

The purpose of changing the grouping in addition problems is to simplify the mental effort required as much as possible. This will generally mean grouping ...

"complementary" numbers, numbers with the same number of leading or trailing zeros, numbers with the same sign, and fractions with the same denominator.

Analysis

A. Numbers ending in 0 are already grouped; no change is needed.

B. Fractions with the same denominator are already grouped; no change is needed.

C. Numbers with the same (negative) sign are already grouped; no change is needed.

D. Numbers ending in zero could be grouped to make addition easier:

  43 +(60 +40) . . . . regrouping would be useful

We also note that in A and D, the sum of numbers ending in zero is 100, so these numbers are "complements" of each other. This is another reason for grouping them together.

Billy used 6 centimeters of tape to wrap 3 presents. How many presents did Billy wrap if he used 32 centimeters of tape? Assume the relationship is directly proportional.

Answers

He wrapped 16 presents.

I don't know I'm doing something else

help wit 3 and 4 for brainliest

Answers

Answer:

Answer for num.4 is B

For number 3 the the rate of change for function A is 10

The rate of change for function B is -5

and the highest function is Function A!

Have a great day!!! < 3

Step-by-step explanation:

The distance that a object covered in time was measured and recorded in the table below. What equation describes the motion?
y = 1.5x + 2.5
y = -1.5x
y = -1.5x + 2.5
y = 1.5x

Answers

Answer:

y = 1.5x + 2.5

Step-by-step explanation:

Using a graph is the simplest way to find this

i need help pleaseee

Answers

Answer:

The answer is option B.

Step-by-step explanation:

Write the equation of the line in slope-intercept form using y=mx+b​

Answers

-1/3x-7=y
Slope is equal to rise over run and b is where it touches the y axis
y= -2x -7 hope this helps!

Can someone plssss help?

Answers

Answer: Part B is D. Account 4, Part C is D. Accounts 1, 3, and 5.

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