The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$293 The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$113. The amount spent per cat was times the amount spent per bird. Find the average amount spent on each type of animal.

Answers

Answer 1

The question is incomplete:

The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$293 The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.

Answer:

The average amount spent in dogs is $203, in cats is $81 and in birds is $9.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y+z=293 (1)

x-y-z=113 (2)

y=9z (3)

You can replace (3) in (1) and (2):

x+9z+z=293

x+10z=293 (4)

x-9z-z=113

x-10z=113 (5)

Now, you have the following equations:

x+10z=293 (4)

x-10z=113 (5)

Then, you can isolate x in (4):

x=293-10z (6)

Next, you can replace (6) in (5):

293-10z-10z=113

293-20z=113

293-113=20z

180=20z

z=180/20

z=9

Now, you can replace the value of z in (6) to find x:

x=293-10z

x=293-10(9)

x=293-90

x=203

Finally, you can replace the value z in (3) to find y:

y=9*(9)

y=81

According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.


Related Questions

In rhombus JKLM, if m

Answers

i’m generally confused on exactly what your asking for

Which is the simplest form of this algebraic expression?
-(6x + 2y) + 4(2x - y)

Answers

The simplest form of -(6x+2y)+4(2x-y) = -2(-x+3y).

Answer:

2x-6

Step-by-step explanation:

The first step is to distribute

The second step is to combine like terms and since its an expression you will not have a solution

The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8)P, left parenthesis, x, right parenthesis, equals, minus, 15, x, left parenthesis, x, minus, 8, right parenthesis What current will produce the maximum power?

Answers

Given:

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

[tex]P(x)=-15x(x-8)[/tex]

To find:

The current which will produce the maximum power.

Solution:

We have,

[tex]P(x)=-15x(x-8)[/tex]

[tex]P(x)=-15x^2+120x[/tex]

Differentiate with respect to x.

[tex]P'(x)=-15(2x)+120(1)[/tex]

[tex]P'(x)=-30x+120[/tex]      ...(i)

To find the extreme point equate P'(x)=0.

[tex]-30x+120=0[/tex]

[tex]-30x=-120[/tex]

Divide both sides by -30.

[tex]x=4[/tex]

Differentiate (i) with respect to x.

[tex]P'(x)=-30(1)+(0)[/tex]

[tex]P'(x)=-30<0[/tex] (Maximum)

It means, the given function is maximum at x=4.

Therefore, the current of 4 amperes will produce the maximum power.

Answer:

its 4 amperes

Step-by-step explanation:

khan said so

Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?

Answers

Answer:40 miles

Step-by-step explanation:

5*4=20

20*2=40

Answer:

40 miles

Step by Step Explanation:

Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)

Solve.
3(x-4) = -3
How do i slove this

Answers

Answer:

[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]

Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.

Answer:

You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.

Step-by-step explanation:

3(x)=3x

3(-4)=-12

3x+-12=-3

then evaluate using inverse operations to get x=3

How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?

Answers

67 miles i believe should be right

-4 5/6 + (3 1/3) =
How dI you do this?

Answers

they should have common denominators so 1/3 turns into 2/6 and - 5/6 + 2/6 is -3/6 simplify that to -1/2 and -4 + 3 is -1 so the answer is -1 1/2

convert 8/3 to a mixed number​

Answers

Answer:  2 & 2/3

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

Work Shown:

8/3 = (6+2)/3

8/3 = 6/3 + 2/3

8/3 = 2 + 2/3

8/3 = 2 & 2/3

The whole part is 2. The fractional part is 2/3.

-----------

Another way you could do the problem is to use long division as shown in the diagram below.

The result of the long division is

8/3 = 2 remainder 2

The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.

So that's another way to get 2 & 2/3

A carpenter cuts a circle out of a piece of wood. The radius of the circle is
about 23 inches. The carpenter cuts the circle into two semicircles. What is
the area of one semicircle to the nearest hundredth? Use 3.14 for

Answers

Answer:

830.53 in²

Step-by-step explanation:

To find the area of one semicircle, find the area of the full circle and divide it by 2:

Use the circle area formula, A = [tex]\pi[/tex]

Plug in 3.14 as pi, and plug in the radius:

A = [tex]\pi[/tex]r²

A = 3.14(23²)

A = 1661.06

Divide this by 2:

1661.06 / 2

= 830.53

So, the area of one semicircle is 830.53 in²

Answer:

850.53 in² is the answer

CAN U GUYZ PLz HELP MEH??? PLZPLZPLZPLZPLZPLZPLZPLZPLZ???????

Answers

answer should be 26.75 units hoped this helped :)

Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?

Answers

Answer:

8 gallons left

Step-by-step explanation:

0.75 times 4=3

11-3=8

hope this helps :)

1) x+30 = 40
2) 30-20+2x=10
3) 3x-10+13=-2x+28
4) 13x-23-45=-7x+12
5) 2(x+4) = 10x+24
6) 3(x-5) = 1-(2x-4)
7) 5X -10 = 15
2
8) X + 4 = X + 6
3 2

Answers

1)x+30=40

x=40-30

Answer :x=10

2)30-20+2x=10

10+2x=10

2x=0

Answer: x=0

3)3x-10+13=-2x+28

3x+3=-2x+28

3x+2x+3=28

3x+2x=28-3

5x=28-3

5x=25

x=5

4)13x-23-45=-7x+12

13x-68=-7x+12

13x+7x-68=12

13x+7x=12+68

20x=12+68

20x=80

x=4

5)2(x+4)=10x+24

2x+8=10x+24

2x-10x+8=24

2x-10x=24-8

-8x=24-8

-8x=16

x=-2

6)3(x-5)=1-(2x-4)

3x-15=1-(2x-4)

3x-15=1-2x+4

3x-15=5-2x

3x+2x-15=5

3x+2x=5+15

5x=5+15

5x=20

x=4

7)5x-10=15

5x=15+10

5x=25

x=5

8)x+4=x+6

4=6

no solution

PLEASE MARK ME AS BRAINLIEST

sally picked 6 and 2-thirds pounds of apples. She used 1-half of the apples she picked to make pies. Question How many pounds of apples did Sally use to make pies? Move numbers to the boxes to show the answer.

Answers

Answer:

[tex]3 \frac{1}{3}[/tex]

Step-by-step explanation:

We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D

Solve for x. Perimeter = 126 meters

Answers

Answer:

image or context?????

Step-by-step explanation:

Idek man I’m lost whereeeee

Write the equation of the line in point-slope form that passes through the
given point with the given slope.
(-4, 3); m = 2

Answers

Answer:

y = 2x + 11

plug the values into y = mx+b:

3 = 2(-4) + b

solve, and you get

3 = -8 + b

b= 3+8 = 11

so, the equation is y = 2x+11

the answer is y= 2 x + 11

Which of the following is r^2 + 4s evaluated for r = 4 and s = 1.5?
14
30
38
22

Answers

Answer:

22

Step-by-step explanation:

Once you fill in the variables your equation will look like this::4^2+4(1.5)::you will the go multiply both parts of the equation leaving you with 16+6 and when you add those together you get 22.

Hope This Helps!

Solve for x. 0 = 2x² + 3x + 5

Answers

Answer: No real solutions.

Step-by-step explanation:

Find the slope
-5/4
4/5
-4/5

Answers

Answer:

The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B

Step-by-step explanation:

You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]

Let us use this rule to answer the question

From the attached graph:

∵ The given line passes through points (-1, -2) and (4, 2)

→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)

x1 = -1 and x2 = 4

y1 = -2 and y2 = 2

→ Substitute their values in the rule of the slope above

∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]

The slope of the line is [tex]\frac{4}{5}[/tex]

How do you make comparisons between an equation and a graph?

Answers

Answer:

here is a hint

Step-by-step explanation:

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

For linear equation,

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

these triangles are congruent by the triangle congruence postulate

Answers

the answer is a, sss

Answer: SSS

Step-by-step explanation:

SSS because we see no angles, and we know the triangles are congruent. B and C are eliminated which leaves SSS as the right choice.

2. Express each of the following percentages as
a decimal.
(a) 4%
(b) 633%​

Answers

Answer:

a. 0.04

b. 6.33

Step-by-step explanation:

a. If we want to convert into decimal we need to divide it by 100 then answer will 0.04

4/100 = 0.04

b. If we want to convert into decimal we need to divide it by 100 then answer will 6.33

633/100 = 6.33

9) Draw a graph of the linear equation y= -2/-5x +3

Answers

To graph the line you would make your first point at (3,0) because that’s the y-intercept. From there you just go down 2 points and to the right 5 points and your next point should be (5,1). Then connect the two points with a line and you’re good to go!

A plant is already 15.00 meters tall, and it will grow 9 centimeters every month. The plant's height, H (In meters), after x months is given by the following
function.
H(x) = 15.00 +0.09x
What is the plant's height after 30 months

Answers

Answer:

17.7 meters

Step-by-step explanation:

x = 30

15 + 0.09*30

0.09*30 = 2.7

2.7 + 15 = 17.7 meters

In 1999, Marks & Spencer, a British department store, created the biggest sandwich ever made. The tuna and cucumber sandwich was in the form of a triangular prism. Suppose each slice of bread was 8 inches thick. Find each measure to the nearest tenth. a. The surface area in square feet of the sandwich when filled b. The volume of filling in cubic feet to the nearest tenth

Answers

Answer:

A) 19.2 ft^2

B) 28.9 ft^3

Step-by-step explanation:

Thickness = 8 inches

Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal

lets assume the side = 10 inches  

lets assume the thickness as the height of the prism = 8 inches

Assume length of the rectangle(l) = 5 feet

A) The surface area of the sandwich triangular prism

total surface area = bh + 2ls + lb

                             = 10*8 + 2(5*10) + ( 5 * 10 )

                             = 80 + 100 + 50 = 230 inches = 19.2 ft^2

B ) The volume of filing in cubic feet to the nearest tenth

V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]  ------- 1

where : a = b = c = 10 inches

h = 8 inches

input the given values into the equation 1 above

V= 346.41 inches ^3  =  28.9 ft^3

 

Rachel earned $ 34 $34dollar sign, 34 in 4 44 hours at her job today. She wants to know how much she could earn ( e ) (e)left parenthesis, e, right parenthesis tomorrow if she works 10 1010 hours at the same hourly rate. How much will Rachel earn in 10 1010 hours? $

Answers

Answer:

Rachel earn $85 in 10 hours.

Step-by-step explanation:

Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.

1 hour = $(34/4)

= $8.5

He earns $8.5 in an hour.

To find his earning in 10 hours, multiply $8.5 by 10. So,

Earning =  $8.5 × 10

= $85

Hence, Rachel earn $85 in 10 hours.

Answer:

85

Step-by-step explanation:

I am right

If Fernando paid 450 for a notebook that was 75percent of the original price, what was the original price?

Answers

Answer:

$600

Step-by-step explanation:

450➗75✖100= 600. The original price was $600.

Answer:

600

Step-by-step explanation:

450/.75=600 dollars

Round 0.00208815 to 3 significant figures

Answers

= 0.00209 HOPE THIS HELPS!
= 0.00209..... pls give me a brainliest

Seth is trying to pay off his credit card. He plans to pay it off in 24 months. Interest on the card is compounded monthly at a fixed annual rate of 11.6%. Seth currently has a balance of $18,875 on his credit card. Use the formula for the sum of a finite geometric series to determine Seth’s approximate monthly payment.


A.

Seth’s approximate monthly payment will be $753.97.

B.

Seth’s approximate monthly payment will be $834.75.

C.

Seth’s approximate monthly payment will be $884.99.

D.

Seth’s approximate monthly payment will be $868.35.

Answers

Answer:

$884.99

Step-by-step explanation:

Just took the quiz and this was the right answer. :)

Answer:

884.99

Step-by-step explanation:

You borrow $2000 for three years at an annual interest rate of 12% what is the total cost of the loan at the end of the three years

Answers

Answer:

2,391 paid altogether. The interest Rate was another 391 dollars.

Step-by-step explanation:

Pls help question is in the pic. Please give a right answer thx :D

Answers

Answer:

61.2

Step-by-step explanation:

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