Pam bought 20 pieces of fruit for her class.
o   Each piece of fruit was either an apple or an orange.
o   She spent $1.25 on each apple.
o   She spent $0.95 on each orange.
o   Pam spent a total of $22.60.
Write a system of equations that can be used to find the number of apples Pam bought. Make sure to define your variables.
 
Choose the correct define variables and the correct system of equations

Answers

Answer 1

Answer:

Step-by-step explanation:

Let O=number of oranges and A=number of apples.

O+A=20

O=20-A

1.25A+0.95O=22.60, using O found above makes this become

1.25A+0.95(20-A)=22.60

1.25A+19-0.95A=22.60

0.3A+19=22.60

0.3A=3.6

A=12, since O=20-A

O=20-12

O=8

So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.

12 apples were bought.

Answer 2

Answer:

1.25x+0.95y=22.60

x is apples y is oranges

Step-by-step explanation:

20 - 12 = 8

1.25(12) + 0.95(8) = 22.60

1.25 · 12 = $15

0.95 · 8 = $7.60

15.00 + 7.60 = $22.60

i hope that makes sense


Related Questions



There are 15 seats on a bus . 6 persons
took the bus. In how many different ways can
these 6 persons sit ?

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simply, they can set in many different ways

About 90 but in sure they can find more ways to sit

Stem and leaf diagram

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I’ve attached my stem and leaf plot...
Hope it helps!

What is the volume of the solid?
Cheese yd
21.8 yd
19.2 yd
40.8 yd
please help!

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Answer:

Step-by-step explanation:

Area of right triangular base = ½ × 3.2 × 6 = 9.6 square yards

Volume = 96 × 2 = 19.2 cubic yards

Solve showing all the steps

Answers

Answer:

Step-by-step explanation:

Is the second exponent 6, or 6x ?

If it is 6x, then x = -½

Solve for u.
5u - 15 = 10
Solve for u
|5u-15|=10

If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
U =
=
No
solution
D

Answers

Answer:

5u-15=10 |+15

5u=25 |:5

u=5

The solution is 25

I hope it helps

have anice day

Make 5u subject of formula
5u=10+15
5u=25
Didn’t both side by 5
U =5

5x - y = 6

x + 6y = 4

To solve the system by elimination, what integer would you multiply the FIRST equation by?

Answers

Answer:

1.5x-y=6

x-y=5+6

x-y=11

2.x + 6y =4

x+y=6-4

X+y=2

xy=2

SORRY THE WRONG

Step-by-step explanation:

FROM INDONESIAN

the first two terms of an arithmetic sequences are 7 and 3.
1.1.1 determine the eighteen term.

1.1.2 which term of the sequences Will be equal to -157?


Answers

Answer:

1.1.1) -61

1.1.2) Term 42

Step-by-step explanation:

Tn= dn (difference) + t0 (term 0)

Tn= -4n+ 11

You can now take this general rule to find out the other terms.

Tn= -4(18)+11

Tn= -61

And the term -157

Tn= -4n+11

-157= -4n + 11

-157 - 11= - 4n

-168= -4n

-168/-4= n

42= n

Which numbers are irrational?

Select each correct answer.

−144−−−√
10−−√
0.04−−−−√
12−−√

Answers

Answer:

10, 12

Step-by-step explanation:

Violet made cookies for the bake sale. 7/10 of the cookies are chocolate chip. 3/4 of the remaining cookies are sugar. What fraction of cookies are sugar cookies?

Answers

We know that 7/10 of the cookies are chocolate chip, so that means there are 3/10 of the cookies left.
We now want to find what 3/4 of 3/10 is.
We can do this by multiplying both fractions
3/4x3/10 (we just multiply across) to get 9/40.
We cannot simplify this answer, so our final answer is 9/40 of the cookies are sugar cookies.

3/18 of the teachers at Naran's school are math teachers, and 30 of the teachers are not math teachers. How many teachers are there at Naran's school?

Answers

Answer:

36 teachers total

Step-by-step explanation:

y=5x-22-x+8 y=-20

find x and y show work.

Answers

The answer is x= -3/2 and y=-20
See attached photo. Good luck.

Helpp I cant get the answer......Whats 6 divided by 2 ( 1 + 2)

Answers

Answer:

3

Step-by-step explanation:

Help with this lesson. thank you for those who take the time to help me out.

Answers

Answer:

58 mi^2.

Step-by-step explanation:

We can split this up into 2 rectangles and 1 triangle.

Height of the triangle = 4 + 2 + (12-11)

= 7.

Total area

= 2*12 + 2*10 + 1/2 * 4 * height of the triangle

= 24 + 20 + 1/2 * 4 * 7

= 44 + 14

= 58 mi^2.

need help geometry question

Answers

Answer:

okay the answer 13.02 enjoy

A large tank is filled to capacity with 300 gallons of pure water. Brine containing 5 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of 6 gals/min. Find the number A(t) of pounds of salt in the tank at time t. A(t) = 1500(1−e−0.02t) lb How long (in minutes) will it take for the tank to be empty after this process has started? min

Answers

Answer:

(a) [tex]A = 1500(1 - e^{-0.01t})[/tex]

(b) [tex]t = 0[/tex]

Step-by-step explanation:

Given

[tex]V= 300gal[/tex] --- Volume of tank

[tex]B = 5lb/gal[/tex] --- Brine solution

[tex]R_1 = 3gal/min[/tex]  --- Rate in, in gallon/min

[tex]R_2 = 6gal/min[/tex] --- Rate out, in gallon/min

Required

Determine A(t)

First, calculate the rate in (R in) and (R out) in lb/min

[tex]R_{in} = B * R_1[/tex]

[tex]R_{in} = 5lb/gal * 3gal/min[/tex]

[tex]R_{in} = 15lb/min[/tex]

R(out) is calculated by multiply the rate at which brine leaves the tank (lb/gal) * R2

So, we have:

[tex]R_{out} = \frac{A(t)}{300} lb/gal * 3gal/min[/tex]

[tex]R_{out} = \frac{3*A(t)}{300} lb/min[/tex]

[tex]R_{out} = \frac{A(t)}{100} lb/min[/tex]

The change in the amount of brin e in the tank at time t is given as:

[tex]A'(t) = R_{in} - R_{out}[/tex]

[tex]A'(t) = 15 - \frac{A(t)}{100}[/tex]

Rewrite:

[tex]\frac{dA}{dt} = 15 - \frac{A}{100}[/tex]

Multiply through by dt

[tex]dA = [15 - \frac{A}{100}]* dt[/tex]

Make dt stand alone

[tex]\frac{dA}{15 - \frac{A}{100}} = dt[/tex]

[tex]ln|15 - \frac{A}{100}| = -0.01t + ln\ c[/tex]

Express as exponents

[tex]15 - \frac{A}{100} = ce^{-\frac{t}{100}}[/tex]

Multiply through by 100

[tex]1500 - A = 100ce^{-\frac{t}{100}}[/tex]

[tex]A = 1500 - 100ce^{-\frac{t}{100}}[/tex]

[tex]A = 1500 - 100ce^{-0.01t}[/tex]

Apply initial conditions

[tex]A(0) = 0[/tex]

Substitute 0 for t in: [tex]A = 1500 - 100ce^{-0.01t}[/tex]

[tex]0 = 1500 - 100ce^{-0.01*0}[/tex]

[tex]0 = 1500 - 100ce^{0}[/tex]

[tex]0 = 1500 - 100c[/tex]

[tex]100c = 1500[/tex]

[tex]c = 15[/tex]

Substitute 15 for c in [tex]A = 1500 - 100ce^{-0.01t}[/tex]

[tex]A = 1500 - 100*15e^{-0.01t}[/tex]

[tex]A = 1500 - 1500e^{-0.01t}[/tex]

Factorize:

[tex]A = 1500(1 - e^{-0.01t})[/tex]

How long to empty the tank

Set A to 0

[tex]1500(1 - e^{-0.01t}) = 0[/tex]

Divide through by 1500

[tex]1 - e^{-0.01t} = 0[/tex]

Collect Like Terms

[tex]e^{-0.01t} = 1[/tex]

Take ln of both sides

[tex]ln\ (e^{-0.01t}) = ln\ 1[/tex]

[tex]-0.0t = 0[/tex]

[tex]t = 0[/tex]

What is 5/9=14c-5/12

Answers

Answer:

c=5/72

Step-by-step explanation:

5/9=14c-5/12

Switch sides

14c-5/12=5/9

Add 5/12 tp both sides

14c-5/12+5/12=5/9+5/12

Simplify;

14c-5/12+5/12

=14c

Simplify;

5/9+5/12

LCM of 9, 12;

36

The least common multiplier of a, b is the smallest positive number that is divisible by both a and b.

Prime factorization of 9;

3*3

Prime factorization of 12;

2*6

=2*2*3

=3*3*2*2

=36

5/9=5*4/9*4=20/36

5/12=5*3/12*3=15/36

=20/36+15/36

20+15/36

=35/36

14c=35/36

14c/14=35/36/14

14c/14=c

35/36*14

=35/504

=5/72

Answer c=5/72

Answer to the following question is as follows;

Value of C = 5 / 72

Step-by-step explanation:

Given:

[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]

Find:

Value of C

Computation:

[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]

By taking 5/12 to LHS Side

[tex]\frac{5}{9} + \frac{5}{12} = 14c\\\\[/tex]

By taking LCM;

[tex]\frac{(4)(5) + (3)(5)}{36} = 14c\\\\[/tex]

[tex]\frac{20 + 15}{36} = 14c\\\\[/tex]

[tex]\frac{35}{36} = 14c\\\\[/tex]

By transfer 14 to LHS side

[tex]\frac{35}{36 \times 14 } = c\\\\[/tex]

[tex]\frac{5}{36 \times 2 } = c\\\\[/tex]

[tex]\frac{5}{72} = c\\\\[/tex]

Value of C = 5 / 72

Learn more;

https://brainly.com/question/21481562?referrer=searchResults

Select all the expressions with a product equal to 2/3
A. 4/4 x 2/3
B. 2/3 x 2/3
C. 2/3 x 5/6
D. 5/6 x 23

Plssssss help me now I will mark as brainliest if its correct dont send link (It's a virus) and pls explain answer.

Answers

i did this in school , it would be the first 2 i did it with a friend and those are the answers they got for it

The table shows several points for function f(x).

A 2-column table with 8 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4, 6, 8, 10. Column 2 is labeled f (x) with entries 19, 15, 11, negative 6, negative 7, negative 8, negative 10, negative 14.

Which statement correctly identifies a point on the graph of f–1(x)?

A. The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x).
B. The point (–2, 15) is on the graph of f(x), so the point (2, –15) will be on the graph of f–1(x).
C. The point (–4, 19) is on the graph of f(x), so the point (–4, –19) will be on the graph of f–1(x).
D. The point (10, –14) is on the graph of f(x), so the point (–14, 10) will be on the graph of f–1(x).

Answers

I think it’s d hope a good answer

Answer:

The answer is D.

Step-by-step explanation:

Just took the test. Got 100%.

Is 12/8 less than, equal to, or greater than 11/6?

Answers

Answer:

it's less than

Step-by-step explanation:

12/8 simplified is 3/2

11/6 cannot be further simplified

3/2<11/6

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2 find the function F[G(x)]-F(x)

Answers

Answer:

4x+4

Step-by-step explanation:

F[G(x)]

=F(3x+2)

=2(3x+2)-1

=6x+4-1

=6x+3

F[G(x)]-F(x)

=6x+3-(2x-1)

=6x+3-2x+1

=4x+4

can someone help me with this? all of the info is in the pic

Answers

Answer:

there is no pic -_-

Step-by-step explanation:

Acellus
Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 2?
4241
4443
46145
4847
42 =<[?]
Enter

Answers

Answer:

angle 7

Step-by-step explanation:

Answer:

angle 7 angle forms a pair of alternate

exterior angles with angle 2.

in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are __________.

A. On the same line

B. Unequal

C. Imaginary

D. The same point

Answers

Answer:

D. The same point

Step-by-step explanation:

An equilateral triangle can be defined as a type of triangle that has all of its sides being equal in length.

This ultimately implies that, an equilateral triangle comprises of three (3) congruent sides and as such creates three (3) congruent angles that measures 60° each. Also, the sum of the congruent angles of an equilateral is always equal to 180°.

Hence, in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are the same point i.e all of the three (3) centers fall on the same point or spot.

HELP!!!!!

The net of a rectangular prism and its dimensions are
shown in the diagram.


What is the total surface area of the rectangular prism in
square inches?

Answers

Answer:

C. 245.5

Step-by-step explanation:

(5.5) (3) + (12.5) (3) + (5.5) (3) + (12.5) (5.5) + (12.5) (5.5) + (3) (12.5)

= 245.5

Answer:

its 245.5

Step-by-step explanation:


A pie recipe calls for you to use a cup of milk, 2 cup of oil, and 2 cup of water. How much liquid do you
need to make the pie?

Answers

5 cups of liquid.

this is because 1 + 2 + 2 = 5

1 cup milk
+
2 cups oil
+
2 cups water
=
5 total cups of liquid


please mark brainliest if this helped :)

For a math assignment, Jane has to roll a set of six standard dice and record the results of each
trial. She wonders how many different outcomes are possible after rolling all six dice.
What is the total number of possible outcomes for each trial?
46,656
0 36
0216
0 7,776
SAVE AND CONTINUE

Answers

Answer:36

Step-by-step explanation: 6 sided dice = 6 possible outcomes

6×6=36

The required number of outcomes is 36 after rolling all six dice. Option B is correct.

Jane has to roll a set of six standard dice and record the results of each
trial. She wonders how many different outcomes are possible after rolling all six dice. the total number of possible outcomes for each trial to be determined.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events for a system of the certain events.

For 1 dice, sample space = { 1  2  3  4  5  6}
total possible outcome = 6
Now 6 dice roll at once and the total outcome = 6 * 6
                                                                                = 36
Meanwhile, Jane has a total of 36 outcomes.

Thus, the required number of outcomes is 36 after rolling all six dice. Option B is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Find the area of the shape shown below.

Answers

Answer: 10

Step-by-step explanation:

To work out the area of this shape you have to split this into 1 square and 2 triangles.

The formula of the area of the triangle is base x height divided by 2

The first triangle on the left would be 2x2/2=2

The area of second triangle on the left is 4x2/2=4

The formula for the square is base x height.

Then to work out the area of the square you do 2x2=4

So, to work out the area of the whole shape you add all of the areas together.

2+4+4=10

In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student the sum of hours in the four activities must be 168. a) Consider the model GPA = β0 + β1study + β2work + β3leisure + β4sleep + u. Interpret the coefficient β1. Does it make sense to hold work, leisure, and sleep fixed, while changing study? b) Explain why this model violates Assumption MLR.3. c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?

Answers

Step-by-step explanation:

Given

GPA = NO + B1Study + B2work + B3leisure + B4sleep + u

1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168

2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.

3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.

GPA = b0 + B1Study + b2sleep + b3work + u

What is the value of x if 10 - 20x = 5?

Answers

Answer:‍♀️

Step-by-step explanation:

what is the x in x/2=7​

Answers

Answer:

14

Step-by-step explanation:

7x2=14

Answer:

14

Step-by-step explanation:

x/2=7 multiply 2 on both sides x=14

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