At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah wants to make 20 pounds of a mixture of raisins and peanuts that sells for $1.35 a pound. How many pounds of each should she use?

Thanks! :)

Answers

Answer 1

Answer:

10 pounds of raisins and 10 pounds of peanuts.

Step-by-step explanation:

Let c represent the pounds of chocolate covered raisins.

Let p represent the pounds of peanuts.

We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.

Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:

[tex]1.5c+1.2p[/tex]

This represents the cost given c pounds of raisins and p pounds of peanuts.

Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:

[tex]1.5c+1.2p=1.35(c+p)[/tex]

We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:

[tex]c+p=20[/tex]

We now have the system of equations:

[tex]\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}[/tex]

First, since we know that c+p is 20, we can substitute that into the first equation.

Second, let's subtract p from both side for the second equation to isolate a variable. So:

[tex]c=20-p[/tex]

Let's now substitute this into the first equation:

[tex]1.5(20-p)+1.2p=1.35(20)[/tex]

Distribute:

[tex]30-1.5p+1.2p=27[/tex]

Combine like terms:

[tex]-0.3p+30=27[/tex]

Subtract 30 from both sides:

[tex]-0.3p=-3[/tex]

Divide both sides by -0.3. So, the amount of peanuts needed is:

[tex]p=10[/tex]

10 pounds of peanuts is needed.

This means that 20-10 or 10 pounds of raisins is needed.

Answer 2

Answer:

10 pounds of both raisins and peanuts.

Step-by-step explanation:


Related Questions

I will give brainliest!!
Please help
s/-4 = 6
what is the value of s?

Answers

Answer:

s = −24

Step-by-step explanation:

Step 1 : Move the negative sign to the left.

[tex]-\frac{s}{4} =6[/tex]

Step 2 : Multiply both sides by 4.

−s = 6 × 4

Step 3 :  Simplify 6 × 4 to 24.

−s = 24

Step 4 : Multiply both sides by −1.

s = −24

ILL GIVE BRAINLIEST!!
What is the reciprocal of x^3 and a^2

Answers

Answer:

a) [tex]\frac{1}{x^3}[/tex]

b) [tex]\frac{1}{a^2}[/tex]

Step-by-step explanation:

Reciprocal of a number is 1 divided by that number

We need to find reciprocal of x^3 and a^2. To find the reciprocal we will do is: 1 divided by the given number

a) Reciprocal of x^3

[tex]=\frac{1}{x^3}[/tex]

b) Reciprocal of a^2

[tex]=\frac{1}{a^2}[/tex]

I NEED HELP ASAP!!!!!

Answers

Step 2 16 + 15 is not 21

Answer:

x actually = 13 and its step 2

Step-by-step explanation:

Justin reads
5/8 chapters in 4/5
hours.

What is the unit rate in chapters per hour?

Write your answer in simplest form.


20 points to person

Answers

25/32 is the unit rate in chapters per hour

The unit rate in chapters per hour is 1/2.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Justin reads 5/8 chapters in 4/5 hours.

the unit rate in chapters per hour is = 5/8÷4/5

                                                          =5/8×4/5

                                                         =1/2

Hence, the unit rate in chapters per hour is 1/2.

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What is 8 times 5 times 6 times 21

Answers

5,040! would be the answer

Answer:

5040

Step-by-step explanation:

multiplying is just repeated addition so this would be the same as adding 8+8 5 times and 21+21 6 times

You are at a fruit stand to get some fresh produce. You notice that the person in front of you gets 5
apples and 4 pears for 10 dollars. You get 5 apples and 5 pears for 11 dollars. Write a system of
equations that could be used to find the price of an apple and the price of a pear.

Answers

Answer:

[tex]5A + 4P = 10[/tex]

[tex]5A + 5P = 11[/tex]

1 apple costs $1.2

1 pear costs $1

Step-by-step explanation:

Represent Apples with A and Pears with P

For the person in my front, the expression is:

[tex]5A + 4P = 10[/tex]

For me, the expression is

[tex]5A + 5P = 11[/tex]

Hence, the system of equation is:

[tex]5A + 4P = 10[/tex]

[tex]5A + 5P = 11[/tex]

Solving for the values of A and P.

Substract equation (2) from (1)

[tex]5A - 5A + 4P - 5P = 10 - 11[/tex]

[tex]-P = -1[/tex]

[tex]P = 1[/tex]

Hence, 1 pear costs $1

Substitute 1 for P in [tex]5A + 4P = 10[/tex]

[tex]5A + 4 * 1 = 10[/tex]

[tex]5A + 4 = 10[/tex]

[tex]5A = 10 - 4[/tex]

[tex]5A = 6[/tex]

[tex]A = \frac{6}{5}[/tex]

[tex]A = \$1.2[/tex]

Hence, 1 apple costs $1.2

-2x + 4 < 16
Help me please I didn’t pay attention

Answers

Answer:

I think it’s done like this, I’m not sure

First, collect the like terms

-2x<16-4

-2x<12

x<12/-2

x<-6

So, you substitute -6 instead of x to find which is greater

12+4<16

16<16

Which makes it false

Step-by-step explanation:

I hope I explained well, please give me brainliest

The solution of the inequality - 2x + 4 < 16 will be;

⇒ - 6 < x

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 2x + 4 < 16

Now,

Solve the expression as;

⇒ - 2x + 4 < 16

Subtract 4 both side, we get;

⇒ - 2x + 4 - 4 < 16 - 4

⇒ - 2x < 12

Divide by 2 , we get;

⇒ - x < 6

Multiply by - 1, we get;

⇒ x > - 6

⇒ - 6 < x

Thus, The solution of the inequality - 2x + 4 < 16 will be;

⇒ - 6 < x

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Leslie says that a temperature of -12 °C is colder than a temperature of -20 C because
1-12 <1-20). Is Leslie correct? Explain why or why not.

Answers

Answer:

Leslie is NOT correct

Step-by-step explanation:

Leslie thinks that the number closer to 0 that's in the negatives it smaller because the number is smaller. But actually, the number farther from 0 that's in the negatives is smaller. So, -12 °C is warmer than -20 °C

I hope this helps!

A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
A. p=421−376
376
B. p=421−376
421
C. p=376
421−376
D. p=376+421
376

Answers

Answer: The answer is A

The graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of
f(3) = 8x2 - 6. Write a rule for g. Then identify the vertex.
The vertex is

Answers

Answer:

f(x)=8x^2-6

f(x) = a (x -h)2 + k

horizontal stretch by a factor of 2 -> 1/2 x

2 units up -> k = 2

reflection in y axis -> x value is negative

g(x) = 8*(1/2 x)2 - 6 + 2

g(x) = 2 x2 -4

Step-by-step explanation:

The vertex will be at g(x) = 2x² -4.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that the graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of

f(3) = 8x² - 6.

f(x)=8x²-6

f(x) = a (x -h)2 + k

Horizontal stretch by a factor of 2 -> 1/2 x

2 units up -> k = 2

Reflection in y axis -> x value is negative.

g(x) = 8 x (1/2 x)² - 6 + 2

g(x) = 2x² -4

Therefore, the vertex will be at g(x) = 2x² -4.

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Last year, a middle school band had 80 students. This year,
the band has 120% of that number of students. How many
students are in the band this year?

Answers

pretty sure 40. i think its 40 because 120 divided by 80 is 1.5 which is half. so 80 divided by 2 = 40. not sure tho

Answer:

The answer actually is 96

Step-by-step explanation:

how to write this numbers in word 23.13​

Answers

Answer:

twenty three and 13 hundredths

Answer:

Twenty three point thirteen

A function f(x) is graphed on the coordinate plane.

What is the function rule in slope-intercept form?
f(x)= ?

Answers

Your answer is Y= 0x-2b .
This is because it hits -2 on the y axis.

Answer:

f(x)=-4x+-2

Step-by-step explanation:

Slope intercept form: f(x)=mx+b

m=slope=[tex]\frac{rise}{run}[/tex]

b=y-intercept=y value when x=0

Add
to each side x2 - 8x = 9 to complete
the square.

Answers

25.....!!!!!!!&$(;7$;;)

Answer:

the correct answer is 16

Step-by-step explanation:

Add  ⇒ 16 to each side x2 – 8x = 9 to complete the square.

Solve this problem.

Don't answer if you don't know. NO IMPROPER ANSWERS.

Answers

Answer: 9.

Step-by-step explanation:  First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.

Answer: The answer is 9.

Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D

please help . imagine ^^

Answers

Answer:

A

Step-by-step explanation:

PLEASE MARK BRAINLIEST

A the answer is A, i agree with the person above

I have 2 questions

Transform the equation.
Stretch y=5x by a factor of 3
What is the transformed equation?

Transform the equation.
Shift y=5√x+5 horizontally, 5 units to the right and a stretch by a factor of 4
What is the transformed equation?

Answers

Answer:

1. I assume that stretching vertically by factor of 2 means that every point on the transformed curve is twice as far from the x axis as the original curve.

Imagine that you have plotted y=5x.  you want to change the y scale so that each point on the original curve is two times as high.  For example, one point on the original curve is (1,5).  This point must be relocated to (1,10).  Similarly, the point (2,10) on the original curve must be relocated to (2,20).

You can see that these relocations are accomplished if we transform the function to y=2(5x)=10x.

Step-by-step explanation:

hope this helps! even though it's just the first one...

eric is twice as old as june. the sum of their ages is 57. how old is june.

Answers

Answer:

19

Step-by-step explanation:

2x + x = 57

3x = 57

x = 19

Check:

2 times 19 = 38

38 + 19 = 57

to answer your question!!.... it’s 19

Can someone help me with the question in the image?

Answers

Step-by-step explanation:

m< I = m < 2 = m < 3

7y+16 = 2X

7y - 2x +16 = O ............I

7y +16 = 4X _30

7y -4 x + 46 = 0 ...............2

solve eq I,2

2 X - 30= o

X= 15

substitute in I

7X= 14

y = 2

Find the expected value of the
random variable with the
following probability distribution:
Х
2
3
4
5
6
7
8
9
10
11
12
Р
1/36
1/18
1/12
1/9
5/36
1/6
5/36
1/9
1/12
1/18
1/36
[?]

Answers

Answer:

1/36 hope this helps

Step-by-step explanation:

Marla's brainlist pls

???? If you know it, put it down below :)) thanks!

Answers

Answer:

66

Step-by-step explanation:

Judy has 2 3/4 bags of rock that she wants to use in her yard. Each bad will cover 310.2 sq ft. How many square feet will Judy be able to cover if she used all the bags of rocks? Round up your answer to the neatest tenth place.

Answers

Answer:

853.1 sq ft

Step-by-step explanation:

Total bags of rock = 2 3/4

Each bag will cover 310.2 sq ft

How many square feet will Judy be able to cover if she used all the bags of rocks?

Total Square feet covered = number of bags of rock × area covered by each bag

= 2 3/4 × 310.2 sq ft

= 11/4 × 310.2 sq ft

= 853.05 sq ft

To the nearest tenth

= 853.1 sq ft

What is the first step in evaluating the expression shown below?
(12.9-3.1) 6.2 - 2 + 43
A.Multiply 3.1 and 6.2.
B.Add 2 and 43
C.Subtract 3.1 from 12.9.
D. Subtract 2 from 6.2.

Answers

Answer:

C. Subtract 3.1 from 12.9

Hope it helped

A piece of glass with an initial temp of 99 degrees Celsius is cooled at a rate of 3.5 degrees Celsius per minute. Concurrently, a piece of copper with an initial temp of 0 degrees Celsius is heated at 2.5 degrees Celsius per minute. Which of the following systems of equations can be used to solve for the temp, T, in degrees Celsius, and the time, m, in minutes, when the glass and copper reach the same temp?

Answers

Answer:

T= 99 - 3.5m

T= 2.5m

Step-by-step explanation:

please help me with this thank you

Answers

Jane will save more than Mariah.

Stores open at the craziest hours on Black Friday Some
even open for their big sale on Thanksgiving Read the
conversation below to figure out when coch store opens
and fill in the table with opening times below.
"It boks like we are going to have to start our shopping of ter
our Thanksgiving meal. Our guests are leaving at four pm, right
when Old Navy opens, and Toys R Us opens one hour later
"Okay, but we need to be at Best Buy to get the great deal on
that TV an hour later."
"But what about the cheap tool set at Target? They open at the
some tmeos Best Buy! We can't be in two ploces at once."
"Well, I saw that Lowe's has the same set for even cheaper, and
they open hours AFTER Target does. We will be able to get
some sleep bettre we head there!"
"Okay, two hours of ter Lowe's opens, we will head to Som's
Club and check out their great deals on cameras
"Sounds good. But an hour ofter Sam's opens, we need to be at
Gander Mountain Sports to buy that new jacket I wanti"
DAY OPEN
TIME OPEN
Thanksgiving 4:00 pm
OLD NAVY
GANDER MOUNTAIN SPORTS
TARGET
LOWE'S
5:00 am
TAVE DHE

Answers

Answer:

Happy Thanksgiving, my friends.

Step-by-step explanation:

Which is an example of Identity Property of Addition ?
6 + 0 = 6
23+5=5+3
07x1 = 7
O (5+9) + 8 = 5 + (9 + 8)
+

Answers

Answer:

Probably the last one but the numbers are kind of jumbled up so...

Step-by-step explanation:

Have a good day

C- Identity Property is a number multiplied by one so it’s keep its identity
Ex- 3x1=3 , 7x1=7

Jack bought 500 shares in Glastonbury Goods at $17.85 per share on January 18, 2015. On January 25, 2017, he sold 300 shares after its price had dropped to $15.25 per share. He bought 250 more shares on January 31, 2017 when the price had fallen to $11.90 a share. He sold all of his stock at $18.00 per share on February 5, 2017. How much of a profit/loss did Jack make over the course of his investment? ____________________ profit or loss

Answers

Answer:

$775 profit

Step-by-step explanation:

Here, we want to know how much profit or loss Jack made;

he sold 300 shares at $15.25

Amount lost on this will be;

(17.85-15.25) * 300 = -$780

The number of shares he sold at $18 will be the 250 he bought now, and the 200 left unsold before

So profit now will be;

200(18-17.85) + 250(18-11.9)

= $30 + $1525 = $1555

So he made $1555 and lost $780

The amount of profit made is $1555-$780 = $775

What is 230% of 90?
A 207
B 237
C 320
D 227

Answers

Answer:

207 or option a is the answer

Answer:

Option A) [tex]207[/tex]

Step-by-step explanation:

[tex]230\%[/tex] can be written as [tex]\frac{230}{100}[/tex] which is equivalent to the decimal form [tex]2.3[/tex]. The word of indicates that you will need to use the multiplication operation:

[tex]230\%[/tex] of [tex]90 = 2.3\times90[/tex]

[tex]= 207[/tex]

∴ [tex]230\%[/tex] of [tex]90[/tex] is [tex]207[/tex].

Hope this helps :)

If someone gives the correct solution will give brainiest and a lot of points.
The Domain is correct.

Answers

Answer: x = 0.1 and x = 1

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

3 log₃ₓ x = 2 log₉ₓ x²3 log x / log 3x = 4 log₉ₓ x3 log x / log 3x = 4 log x / log 9x3 log 9x = 4 log 3x3 log 9 + 3 log x = 4 log 3 + 4 log xlog x = 3 log 9  - 4 log 3log x = 3 log 9 - 2 log 9log x = log 9x = 9

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