Carefree offers two type of care packages. The food packages sell for 20$ and the game packages sell for 32$. In one day Carefree sold 25 Care packeges. the receipt for those packages totaled 602$ How many of each type of package were sold

Answers

Answer 1

Answer:

Number of game package = 16.5

Number of food package = 8.5

Step-by-step explanation:

LET :

Food package = a

Game package = b

a + b = 25 - - - (1)

20a + 32b = 602 - - - (2)

a = 25 - b

Put a = 25 - b into (2)

20(25 - b) + 32b = 602

500 - 20b + 32b = 602

12b = 102

b = 102 / 12

b = 8.5

a = 25 - b

a = 25 - 8.5

a = 16.5

Number of game package = 16.5

Number of food package = 8.5


Related Questions

If the value of "y" varies directly with "ex"
and y = -8 when x = 20, find "y" if x = -4.
Enter the number that belongs in the green box.
Reduce to simplest form.
y = 2

Answers

Answer:

8/5

Step-by-step explanation:

We can use a proportion to solve this question, if we put the values of x on the left of the equal and the value of y on the right we have

20 : -4 = -8 : y

y = (-4*-8)/20

= 32/20

= 8/5

Product of 4 and x increased by 5 what's the expression

Answers

Answer:

4x+5 hope it helps :-)

Step-by-step explanation:

hdhdhch

9514 1404 393

Answer:

  4x +5

Step-by-step explanation:

The product of a constant and a variable is indicated in algebra by writing them next to each other.

  "the product of 4 and x"   ⇒  4x

"Increased by 5" means that 5 is added to the product.

  4x +5 . . . . . . the product increased by 5

Solve the equation. x^x=3/4(√6)​

Answers

Answer:

Hi! The answer to your question is [tex]x = 3/2[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

Brainliest is greatly appreciated!

Hope this helps!!

- Brooklynn Deka

A shoemaker claims his best product has an average lifespan of exactly 14 years. A skeptical customer asks for evidence (data) that might be used to evaluate this claim. The customer was provided data collected from a random sample of 45 people who used the product. Using the data, an average product lifespan of 15 years and a standard deviation of 6 years was calculated. Select the 95%, confidence interval for the true mean lifespan of this product.

Answers

Answer:

The 95%, confidence interval for the true mean lifespan of this product is between 13.2 and 16.8 years.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0154

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0154\frac{6}{\sqrt{45}} = 1.8[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 15 - 1.8 = 13.2 years

The upper end of the interval is the sample mean added to M. So it is 15 + 1.8 = 16.8 years.

The 95%, confidence interval for the true mean lifespan of this product is between 13.2 and 16.8 years.



an exponential function is graphed on the gid. which function is best represented by the graph

a) g(x)=6(1/3)^x
b)g(x)=6(3)^x
c) g(x)=6-(1/3)^x
d) g(x)=6-(3)^x​

Answers

I think it’s a - explanation

Given the length of segment EB is 12 meters. Find the length of arc EA. Round your answer to the nearest tenth.

Answers

Answer:14.9

Step-by-step explanation:

my calc 3 friend told me

Help please due in 45 minutes!!

Answers

Answer:

x=4, y=5

Step-by-step explanation:

Download photo math and take a picture of it

Find the area of the trapezoid. A trapezoid has a base of 8 meters, a height of 6 meters, and a top side length of 4 meters.

Answers

Answer:

36 m²

Step-by-step explanation:

A = 1/2(b₁ + b₂)hA = 1/2(8 + 4)*6 = 36 m²

Find the midpoint of the segment with the following endpoints (7-6) and (4-10)

Answers

Answer:

(5.5,2)

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints (7-6) and (4-10)

The formula for calculating the x and y coordinate is expressed as

X = x1+x2/2

X = 7+4/2

X = 11/2

X = 5.5

Y = y1+y2/2

Y = -6+10/2

Y = 4/2

Y = 2

Hence the required midpoint is at (5.5,2)

Answer:

(5.5, -8)

Step-by-step explanation:

Edg 2021


The correct expression for a number which is 9 times as big as the number obtained after p has been increased
by 4

Answers

Answer:

9(p + 4)

Step-by-step explanation:

One of the unknown variable is p.

First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).

Translating the word problem into an algebraic expression, we have;

9 * (p + 4) = 9(p + 4)

Simplifying further, we have;

9p + 36

write the following comparison as a ratio reduced to lowest terms

31 hours to 7 days​

Answers

31:7 days hope this helps.

The sum of two numbers is 56. One number is 3 times as large as the other. What are the numbers?

larger number

smaller number

Answers

42 and 14

explanation:

x+y = 56
x = 3y

Substitute for x in the first equation:
x + y = 56
x = 3y
3y + y = 56
Combine like terms:
4y = 56
Divide both sides by 4:
y = 14

So if y = 14, and x = 3y, then x = 42.

Now substitute for both x and y in both of the original equations to prove they are the correct values.

x + y = 56
x = 42
y = 4
42 + 14 = 56
56 = 56

x = 3y
x = 42
y = 14
42 = 3*14
42 = 42

So the two numbers, x and y, are 42 and 14.
42 and 14 because 14x3 is 42 and 14+42=56

1. What type of sequence is this? *
3.5, 10.5,31.5, 94.5, 283.5, ---
Arthímetic
Geornetric
Neither

Answers

Answer:

Arthimatic is the answer

can you please help me

Answers

C. Hope this helps:)

I really need help?!

Answers

Answer:

the answer is a

Step-by-step explanation:

How many inches is in 5 1/4 feet

Answers

Answer:

63 in.

Step-by-step explanation:

Answer:

There is 63 inches in 5 1/4 feet :)

What is .66666666 as a fraction?

Answers

Answer:

2/3

Step-by-step explanation:

2 divided by 3 is 0.6666666 repeated.

Lukas is trying to lose weight. He starts the year
weighing 254 pounds. If he plans to burn enough
calories to lose 2 pounds per week, which
equation can be used to find w, the number of
weeks that will pass before Lukas weights 228
pounds?
For BRAINLIST!!

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:


(d) You will live for 500 years.state whether the following event is certain, impossible, even,likely or unlikely​

Answers

Answer:

Impossible

Step-by-step explanation:

Find the slope,
(5,0) and (0.-7)

Answers

Answer:

[tex]\frac{-7}{-5}[/tex]

-7/-5

is the slope.

or -1 -2/-2  

you pick.

Step-by-step explanation:

Δy/Δx

-7-0 / 0-5

-7 / -5

-7/-5

is the slope.

change in y over change in x

y2-y1 over x2-x1

simplify if possible.

-1 -2/-2

it's negative.

Answer:

Slope = 1 2/5 or 1.4

Step-by-step explanation:

Using the y2 - y1/x2 - x1 format, you first replace the variables with the points (5 and 0 can be x1, y1, while 0 and -7 can be x2, y2)

-7 - 0/0 - 5

Now subtract: -7 - 0 = -7; 0 - 5 = -5

You would get -7/-5, which simplified: 1.4 or 1 2/5

:p

there you go!

please help i need help​

Answers

Answer:

78 I think

Step-by-step explanation:

simply look at the second and third wight see the pattern wich is 7.8 I think and subtract that from the first answer

Peyton is going to invest $440 and leave it in an account for 5 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Peyton to end up with $520?

Answers

Answer:

The required interest rate would be of 3.4% a year.

Step-by-step explanation:

The amount of money earned in compound interest, after t years, is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial investment and r is the interest rate, as a decimal.

Peyton is going to invest $440 and leave it in an account for 5 years.

This means that [tex]P(0) = 440, t = 5[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 440(1+r)^5[/tex]

What interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $520?

This is r for which P(t) = 520. So

[tex]P(t) = 440(1+r)^5[/tex]

[tex](1+r)^5 = \frac{520}{440}[/tex]

[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{\frac{52}{44}}[/tex]

[tex]1 + r = (\frac{52}{44})^{\frac{1}{5}}[/tex]

[tex]1 + r = 1.034[/tex]

Then

[tex]r = 1.034 - 1 = 0.034[/tex]

The required interest rate would be of 3.4% a year.

write the following comparison as a ratio reduced to lowest terms.


128 hours to 6 days​

Answers

Answer:

21.3:1

Step-by-step explanation:

So we have to find the unit rate, and we do that by getting that 6 down to a 1, and we do that by dividing 6 by 6 and then we gotta do that on the other side too:

6 ÷ 6 = 1

128 ÷ 6 = 21.3 (simplified)

So 128 to 6 days in simplest terms is 21.3 hours to 1 day

hope this helps:)

the answer is 64:3 hope that helps

How do you think this data would look if it only looked at how GenZ uses mobile and online banking? Why?

Answers

Answer:

People in GenZ will definitely be using more Mobile Banking App. Because this generation is very attached to such devices. I have seen a very good amount of examples where people send money, pay bills, and even receive money through their phones. Most of the things can be done through the Mobile Banking App instead of using other methods.

Try to answer this question for me pleaseee

Answers

Answer:

H

Step-by-step explanation:

180-48=132

Ms. Huck can dig 4 holes in 5 hours. Mr Varga can dig holes 3 times as fast. What is the constant of proportionality

between the number of holes Mr. Varga can dig and the number of hours?

Answers

Answer:

yes

Step-by-step explanation:

Plzzz help meeeeeeeeee!

Answers

Answer:

B

Step-by-step explanation:

More students got more than 10 than students that didnt

WILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=

Answers

Answer:

answer: y+2/3x+5

Step-by-step explanation:

because

Please help with math asap:
Rewrite without parentheses and simplify
(y+7)^2

Answers


y * y = y^2
y * 7 = 7y
7 * y = 7y
7 * 7 = 49

So we have:

y^2 + 7y + 7y + 49

Combine like terms:

y^2 + 14y + 49

4. Quinn scores 275 points in 5 min on her favorite
video
game. Delilah scores 675 points in 15 min.
If they continue to play at this level, who do you
predict will score 5000 points faster? Explain.

Answers

Answer:

Quinn

For Quinn:

275 points - - > 5 min

5000 points - - > x min

--------------------------------------

275*x=5*5000-->x=90.9 minutes

For Delilah:

675 points - - > 15 min

5000 points - - > y min

--------------------------------------

675*x=15*5000-->y=111.1 minutes

90.9<111.1, so Quinn will score 5000 points faster

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