Devon purchased one bag of dog food and three bags of cat food. Each bag of dog food weighs x pounds and each bag of cat food weighs half as much as the bag of dog food. The total weight of Devon's purchase is 32.5 pounds. The equation x+3(x/2)=32.5 can be used to determine the weight of the dog food and cat food. What is the weight in pounds of one bag of cat food?

Answers

Answer 1

Answer:

A pound of cat food will weigh 6.5 pounds

Step-by-step explanation:

Firstly, we need to get the value of x. Thus, let’s solve the equation at hand;

x + 3x/2 = 32.5

x + 1.5x = 32.5

2.5x = 32.5

x = 32.5/2.5

x = 13

Now from the question, we are made to know that a pound of cat food measures half of what a pound of dog food measures

Since we calculate a pound of dog food to weigh 13 pounds, a pound of cat food will weigh = 13/2 = 6.5 pounds


Related Questions

Quiz 2
Below is how tall (in meters) each of the five players on Deandra's basketball team is.
17
2
1.6
Find the median height.​

Answers

2
Lowest to highest (middle number)

can someone heelp me with this i just dont understand it

Answers

Answer:

I CAN!

Step-by-step explanation:

First, where does the line start?

y=1

It looks like it goes up, and then right each one unit. No?

So that would be

Y=1+1

Warning! DO NOT say y=2.  That is no good. You probably want to simplify it, but dont. Okay?

Happy to help

ОωО

round to the nearest tenth place it is repeating decimal 4/6

Answers

Answer:

0.7

Step-by-step explanation:

I divided 4 by 6

0.6666666666666...

Simplify to 0.7

plz help me I can't do anything and I have to pass this assignment for online School

Answers

Answer:

It will take 8

Step-by-step explanation:

2 cubic units we take 1 / 4 which four equals one and eight equals 2, so it will take a eight 1/4 to fill the prism.

How many meters are in a kilometre

Answers

Answer:

3000meter

Step-by-step explanation:

[tex] \frac{300000}{100} = 3000[/tex]

Answer:
According to your question there are 1/1000 km in a meter and 1000 meters in a km.
Also for future reference you can follow the table given below-
Always the first is km
Second is ha.m ( hectameter)
Third is da.m ( dacameter)
Fourth is m ( meter)
Fifth is dm ( decimeter)
Sixth is cm ( centimetre)
Seventh is mm ( millimetre)
Remember when you are converting smaller unit ( lower) to bigger unit ( upper) you need to divide and while converting a bigger unit to a smaller unit you need to divide.
The sequence can be easily remembered by a line:
King
Henery
Died
Mother
Didn't
Cried
Much
HOPE IT HELPS!!!
IF IT HELPED YOU PLEASE MARK BRAINLIEST!!!!

What is the sum of the numbers one plus one

Answers

Answer:

2 is the sum of one plus one

Answer:

2

Step-by-step explanation:

Aprivate high school charges $57,000 for tuition, but this figure is expected to rise 10% per
year. What will the tuition be in 3 years?

Answers

Answer:

$75,867

Step-by-step explanation:

that will be the answer

On his afternoon jog Chris took 42 minutes to run 3.75 miles. How many miles can he run in 90 minutes?

Answers

Answer:

8.03

Step-by-step explanation:

43 min = 3.75 miles

90 min = X

99 min×3.75÷42=8.03

A trampoline gym charges $6 for 1/2 of an hour. At that rate, what does 1 hour cost?

Answers

Answer:

Step-by-step explanation:

12

One hour's cost for the trampoline gym will be $12.

What is ratio?

The ratio can be defined as the number that can represent one quantity as a percentage of another. They can be compared only when the two numbers in a ratio have the same unit. Ratios are used to compare two objects.

Given, A trampoline gym charges $6 for 1/2 of an hour.

Since,

For 1/2 hour gym charges = 6$

So from the definition of the ratio

Thus,

For 1-hour gym will charge = 6*2

For 1 hour gym will charge = 12$

therefore, One hour cost for the gym will be $12.

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Antonio has a kite, in the directions on how to put the kite together it says that the drawing is to scale where 10 cm = 1 meter. If the kite when put together is 1.5 m. Tall, how tall is it in the drawing?

Answers

Answer: 15cm.

Step-by-step explanation:

Hi, to answer this question we have to multiply the real height of the kite (1.5m) by the scale factor of the drawing (10):

Mathematically speaking:

Since 1 m = 10 cm

So:

1.5 m x 10 cm/m = 15 cm

The kite is 15 centimeters tall in the drawing.

Feel free to ask for more if needed or if you did not understand something.

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1111111111

Answers

Answer:

261

Step-by-step explanation:

Answer:

i think its 261

Step-by-step explanation:

what do 10n represent in p (n)=10n-1200

Answers

Step-by-step explanation:

The term 1200 represents the 11

In a class full of men and woman 4/7 are woman what is the ratio of men and woman in the simplist form ?

Answers

Answer:

4:7

Step-by-step explanation:

i don't think that you can simplify it any further so you just change the / to a :

3:4 should be the answer, as the the total number of people are 7 cause it’s 4/7 is woman.

Students were asked to write 6x^5 + 8x - 3x^3 + 7x^7 in standard form. Shown below are four
student responses.
Anna: 7x^7+ 6x^5 - 3x^3 + 8x
Mario: -3x^3 + 6x^5 + 7x^7 + 8x
William: 8x + 7x^7+ 6x^5 - 3x^3
Olivia: 8x - 3x^3 + 6x^5 + 7x^7
Which student is correct?

Answers

Answer:

Anna

Step-by-step explanation:

In standard form the first term is the term with the largest exponent.

The following terms are then in descending order of exponents.

The term with the largest exponent is 7[tex]x^{7}[/tex] ← first term

The expression in standard form is

7[tex]x^{7}[/tex] + 6[tex]x^{5}[/tex] - 3x³ + 8x ← Anna

WORTH 60 POINTS AND BRAINLIEST. DO NOT PLAGIARIZE OR WRITE FAKE ANSWERS I WILL REPORT THANK YOU!!
A. David notices that the shape of the Ligersville toxic dump site is somewhat like a triangle. He claims that he can approximate the perimeter of the dump site without doing any extra measurements. What assumption about side AB of the dump site would David need to make in order to justify his claim?

B. Based on the assumption in part A, determine the approximate length of side AB of the dump site. Explain your reasoning in at least two sentences.

C. Determine the approximate perimeter of the Ligersville toxic dump site. Explain your reasoning.

Answers

Answers and Step-by-step explanations:

A. David would need to assume that side AB is the hypotenuse of the almost-right triangle that A, B, and C make. That way, he can use the Pythagorean Theorem to solve for AB.

B. AB² = 24² + 32² = 1600  ⇒  AB = √1600 = 40 yards

We can use the Pythagorean Theorem because we assume that ABC is in the form of a right triangle, with AB as the hypotenuse. Then since whenever we have a right triangle, we can use the Pythagorean Theorem to solve for an unknown side, that applies here as well.

C. The approximate perimeter is 24 + 32 + 40 = 96 yards. Using the approximation of AB from part B, we simply add up all the side lengths of this "triangle", as that is the definition of "perimeter". Thus, when we add them all together, we get a total of 96 yards.

Answer:

A. Assumption: length of the curve AB is equal to the hypotenuse of the triangle formed AB was a straight line.

B. 40 yards

C. 96 yards

Step-by-step explanation:

A. Assumption: length of the curve AB is equal to the hypotenuse of the triangle formed AB was a straight line.

B. AB² = 32² + 24²

AB² = 1600

AB = 40

Since we have assumed that AB is equal to the hypotenuse, we can use pythagoras theorem to find an approximate length of AB

C. Perimeter is the sum of all lengths:

32 + 24 + 40 = 96

Ross drives 280 miles in 4 hours. If Ross continues to drive at the same rate, how many miles can he drive in 12 hours?​

Answers

Answer:

Step-by-step explanation:3,360

if the radius of a circle 3 meters. what is the circles diameter?

Answers

Answer:

6 m

Step-by-step explanation:

the radius is half of the diameter

A radius is a strait line from the center of the circle to the circumference, while a diameter is a straight line from one side of the circumference to another that passes through the center. Therefore, the formula to find a diameter is, r2=d or radius•2=diameter



So, let’s plug 3m into this equation



r = 3 meters


r•2=d


3•2=d


6 meters = diameter

Rodger bowled seven games last week. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the median of Rodger's score?

Answers

Answer

The median is 155

Step-by-step explanation:

You get the numbers from least to greatest then the middle number is your median.

Write the function for the graph.
(1,8) (0,2). will give brainliest ​

Answers

Answer:

D

Step-by-step explanation:

you have it right :)

The function with the coordinates (1, 8) and (0, 2) is [tex]f(x)=2\times(4)^x[/tex]. Therefore, option D is the correct answer.

What is the exponential function?

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

From the given graph, the coordinate points are (1, 8) and (0, 2)

Using the formula [tex]y=a\times(b)^x[/tex]

Where, a is x-intercept

Substitute, a=2 and (x, y)=(1, 8) in [tex]y=a\times(b)^x[/tex], we get

[tex]8=2\times(b)^1[/tex]

⇒ b=4

Substitute a=2 and b=4 in [tex]y=a\times(b)^x[/tex], we get

[tex]y=2\times(4)^x[/tex]

⇒ [tex]f(x)=2\times(4)^x[/tex]

Therefore, the function for the given coordinates is [tex]f(x)=2\times(4)^x[/tex].

Learn more about the exponential function here:

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Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

We divided the figure into 1 triangle and 2 rectangles.

Adding up the area of them, we get the total area:

A = 14 x (10 + 8 + 12 - 16)/2 + 8 x 5 + 6 x (12 + 8)

   = 258 (yd2)

Hope this helps!

:)

Someone please help me

Answers

Choosing points (0;5) and (-2;-3) so we have
X = 0, Y = 5
X = -2, Y = -3

Equation: Y = aX + b
Using point 1:
5 = a0 + b
=> b = 5

Then again
Y = aX + b
-3 = a(-2) + 5
-3 - 5 = -2a
- 8 = -2a
=> a = 4

Y = 4X + 5

Answer:

y=4x+5

Step-by-step explanation:

Liner graph, therefore, y=mx+b; b is the y intercept; m is the slope

b=5, another pair is (-1,1)

need to find m first

Substituting we get:

⇒1= m(-1) + 5

⇒1= -1m + 5

⇒1-5= -m

⇒-4 = -m

⇒m=4

Eq: y=4x+5

                   

Mr. Maxwell White bought a house at the cost of GHȼ250,000,000.00. He paid 20% of the cost out of his own resources an took a loan for the remaining amount at 2 1/2 % simple interest per annum. Calculate the total amount Mr. Maxwell White paid for the house, if he paid the loan 8 years later.

Answers

Answer:GHȼ290,000,000

Step-by-step explanation:

Given the following :

Cost of house = 250,000,000

Amount paid out of his own resources = 20% of house cost

Amount loaned = 250,000,000 - (20% of 250,000,000)

Rate = 2 1/2% = 5/2% = 0.025

Period or time = 8 years

Therefore,

Amount paid out of his own resources :

0.2 × 250,000,000 = 50,000,000

Amount loaned = (250,000,000 - 50,000,000) = 200,000,000 = principal

Simple Interest on loan = (principal × rate × time)

200,000,000 × 0.025 × 8 = 40,000,000

Total amount paid back= (200,000,000 + 40,000,000) = 240,000,000

Total amount paid for the house :

Total loan paid + amount paid from own resource:

240,000,000 + 50,000,000 = 290,000,000

Rosa tiene 55 hojas de colores y
les encargo a sus dos sobrinas
Thalía y Paulina que hicieran
paquetes con 6 hojas cada uno.
¿Cuántos paquetes podrían hacer
con 55 hojas?​

Answers

Answer:

9 packages

Step-by-step explanation:

Each package will have 6 sheets, so to find the number of packages for 55 sheets, we can just use a rule of three:

1 package -> 6 sheets

x packages -> 55 sheets

x * 6 = 55 * 1

x = 55 / 6 = 9.17

Rounding down, we have x = 9 packages.

So it can be done a total of 9 packages, and there will be (55 - 9*6) = 1 sheet left.

Find the length of the third side to the nearest tenth.

Answers

Answer:

5.3

Step-by-step explanation:

You use the Pythagoras theorem which is a^2+b^2=c^2.

Since you're solving for a side length that's not the hypotenuse you will manipulate the equation to c^2-a^2=b^2. From here you just plug in numbers.

8^2 - 6^2 = b^2

64 - 36 = b^2

b = sqrt(28)

b = 5.2915.... = 5.3

Line AB is tangent to circle O at B. Find the length of the radius r for AB = 8 and AO = 11.7. Round to the nearest tenth if necessary. The diagram is not to scale.13.7, 3.7, 8.5, 14.2

Answers

Answer:

8.5

Step-by-step explanation:

So the line segment that is tangent to the circle is 8, and AO is 11.7.

When you connect them, they are perpendicular, so you have a right triangle with one unknown leg that we will call X, a leg that is 8, and a hypotenuse that is 11.7.

If you use the Pythagorean Theorem, you will find that the leg is √72.89, which is approximately 8.5.

That leg is the radius.

This might be wrong so check it.

Can someone help me answer this please.

Answers

Answer:

yes it is correct

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Here are some of the Pythagorean Triples:

(3,4,5)

(5,12,13)

(7,24,25)

(8,15,17)

(9,40,41)

(11,60,61)

(12,35,37)

(13,84,85)

You'll see that 8, 15, 17 is a Pythagorean Triple so yes, it is a right triangle.


If using the method of completing the square to solve the quadratic equation x^2+15x+25=0x
2
+15x+25=0, which number would have to be added to "complete the square"?

Answers

Answer:

x = -15/2 ± (1/2)*5√5

Step-by-step explanation:

I will assume that you meant x^2+15x+25=0.

To complete the square, take half of the coefficient of x, square the result, add this square into the equation after '15x,' and then subtract the square from the result:

x^2+15x+25=0  =>  x^2 + 15x + (15/2)^2 - (15/2)^2 + 25 = 0.

Rewrite the first two terms as (x + 15/2)^2 - 225/4 + 100/4 = 0, or

                                                  (x + 15/2)^2 - 125/4 = 0

Taking the square root of both sides, we obtain the solutions:

                                                    x + 15/2 ±√[125/4], or

                                                    x = -15/2 ± (1/2)*5√5

The quadratic equation x²+15x+25=0,  (15/2)² is a number to be added to "complete the square"

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The quadratic equation x²+15x+25=0

x²+15x+(15/2)²+25-(15/2)²=0

(x+15/2)²+25-225/4

(x+15/2)²+(100-225)/4

(x+15/2)²+(-125/4)

(x+15/2)²-(√125/√4)²

(x+15/2+√125/√4)(x+15/2-√125/√4)

(x+15/2+√125/2)(x-15/2-√125/2)

(x+(15+√125)/2)(x-(15+√125)/2)

Hence (15/2)² is a number to be added to "complete the square"

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A trucking company needs to move a pile of dirt. The dirt is stored in a pile shaped like a cone. The pile is 12 yards high, and its base has a diameter of 8 yards. How many truckloads will the company need, if each truck holds 6.28yd3 of dirt?

Answers

Answer:

it will take 96 truckload trips to move the entire pile of dirt.

Step-by-step explanation:

The formula for the volume of a cone of height h and radius r is

V = πr²h.  Here, the radius, r, is half the given diameter, or r = d/2, or r = (8 yds)/2, or 4 yds, and the height is 12 yds.  Thus, in this case, the volume of the conical pile of dirt is

V = π(4 yd)²·12 yd, or

V = 3.14(16 yd²)(12 yd), or

V = 602.88 yd³

If each truck holds 6.28 yd³ and we want to know how many truckloads the company needs in order to move the conical pile, we divide the above volume (V) by 6.28 yd³:

     V                    602.88 yd³

------------- = --------------------------------------- = 96

6.28 yd³       (6.28 yd³ per truckload)

We interpret this to mean that it will take 96 truckload trips to move the entire pile of dirt.

The number of truckloads the company will need is A = 32 truckloads

What is a Cone?

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Surface area of the cone = πr ( l + r )

where l = √ ( b² + r² )

Given data ,

The first step is to find the volume of the pile of dirt using the formula for the volume of a cone: V = ( 1/3 ) πr²h, where r is the radius of the base and h is the height.

The height of the cone is given as 12 yards, and the diameter of the base is 8 yards, so the radius is half of that, or 4 yards. Plugging in these values, we get:

V = (1/3)π (4 yards)² (12 yards)

V ≈ 201.06 yards³

Next, we need to find out how many truckloads the company will need.

We know that each truck can hold 6.28 cubic yards of dirt, so we can divide the total volume of dirt by the volume of one truckload to find the number of truckloads needed:

201.06 cubic yards / 6.28 cubic yards/truckload ≈ 31.99 truckloads

Since the company can't order a fractional number of truckloads, they will need to round up to the nearest whole number.

Hence , the company will need 32 truckloads to move the pile of dirt

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Please help! Correct answers only please!

You roll a 6-sided die two times.

What is the probability of rolling an odd number and then rolling a 3?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

1/12

Step-by-step explanation:

to get a odd number is a 1/2 chance. to roll a 3 is a 1/6 chance. multiply those together to get 1/12.

i need help with the following question above please​

Answers

Answer:

2a+c ( not sure if this is what you are looking for!)

Step-by-step explanation:

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