Mixing two kinds of candy the price of which was $2 and $4 per pound, Ella got a 10-lb mix of candy, which cost $2.90 per pound. How many pounds of each candy were used for the mix?

Answers

Answer 1

Answer:

4.5 pounds of candy y

5.5 pounds of candy x

Step-by-step explanation:

Given

Let x and y represent the two candies

[tex]x + y = 10[/tex] --- the sum of both candies

[tex]2x + 4y =29[/tex] ---- the worth of candies

Required

The pound of each

[tex]x + y = 10[/tex]

Make x the subject

[tex]x = 10 - y[/tex]

Substitute [tex]x = 10 - y[/tex] in [tex]2x + 4y =29[/tex]

[tex]2(10 - y) + 4y = 29[/tex]

Open bracket

[tex]20 - 2y + 4y = 29[/tex]

[tex]20 + 2y = 29[/tex]

Collect like terms

[tex]2y = 29 - 20[/tex]

[tex]2y = 9[/tex]

Solve for y

[tex]y = 9/2[/tex]

[tex]y = 4.5[/tex]

Recall that: [tex]x = 10 - y[/tex]

[tex]x = 10 - 4.5[/tex]

[tex]x = 5.5[/tex]


Related Questions

PLEASE HELP Amber has 7 books to read. She will read 1/2 of a book each day. How many days will it take Amber to read all 7 books?

Answers

Answer:

14 days

Step-by-step explanation:

amiaoaodkwjwisodkwbqhshjdkekansxbudid

PLZZ HELP!!!
Which graph shows the solution to the system of equations 2x + y = 4 and 3x - 2y = 6?

Answers

Answer:

the last one

Step-by-step explanation:

__________________

The product n and sum of n and 76

Answers

Answer:

n+76

n --> a number not determined (and a random product)

76 --> the number the problem gave

+ --> required for addition, which provides the sum

Why did the farmer open a bakery?

Answers

Answer:

yes

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...

What is the volume of the box

Answers

Answer:

Volume = 144 in.³

Step-by-step explanation:

Given:

Length = 9 in.

Width = 4 in.

Height = 4 in.

Required:

Volume

Solution:

Volume of a box = length * height * width

Volume = 9*4*4

= 144 in.³

The interest for a bank account is compounded quarterly. The equation 480(1.08)12 is used to calculate the value of the account after some amount of time.
The yearly interest rate for the account is
8%
3%
2%
32%
12%

Answers

Answer:

8%

Step-by-step explanation:

1.08 is an increase of 0.08, which is 8%

Answer: 3%

Step-by-step explanation:

since the total amount ended up being 12 your going to divide by 4 which is the quartly amount which is how u end up with 3%.

Help!! If anyone could help, I’ll give Brainly! :) thank you so much

Answers

9514 1404 393

Answer:

  $50

Step-by-step explanation:

The compounding period is 1 year, and the period of concern is 1 year. This means the simple interest formula will tell the answer to the question.

  I = Prt

  I = ($5000)(0.01)(1) . . . . . r = annual rate; t = years

  I = $50

The interest earned in the account is $50.

Can you help me with this, please? Thanks in advance ​

Answers

Answer:

∠TRU is supplementary with ∠PQS as SQ║TR.

Supplementary angles add up to 180°.

m∠TRU = 180° - 82° = 98°

Consider ΔRTU

∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:

m∠TRU + m∠RTU = m∠RUV98° + m∠RTU = 155°m∠RTU = 155° - 98° = 57°

<TRU

180-<PQS180-8298°

Sum of 2 interiors =exterior

<RTU

155-9857°

What is the area of the trapezoid shown below? 5 units 6 units 9 units

Answers

Answer:

N/A

Step-by-step explanation:

Please be more specific, which is base and which is height

Name the special segment.

Answers

Answer:

Perpendicular bisector

Step-by-step explanation:

Have a great day!!

Help meeeeeee ASAP helppppppp

Answers

Answer:

45 × 1/3 = 15

Step-by-step explanation:

15 / (1/3) = (3×15)/1 = 45

so, from 15 / (1/3) = 45

we can then adapt the equation by multiplying both sides by 1/3

15 = 45 × (1/3)

Please answer number 9 I’ll give brainliest

Answers

Answer:

2/3 or 66.7%

Step-by-step explanation:

there are 6 possible options. 2 of them are red. 6 options minus 2 = 4=4/3=2/3

to bake a cake, the recipe calls for 6 eggs. Arline wants to bake 24 cakes for her schools bake sale. how many eggs will she need in all for the 24 cakes?

Answers

The answer is 144.

Answer:

144 eggs

Step-by-step explanation:

1 cake = 6 eggs

24 * 6 = 144 eggs in total.

A longer way to do it is by adding 6, 24 times.

6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6 = 144

But by multiplying, it makes it easier to find the answer.

Need help fast.
A pool is shaped like a rectangle with a length of 4 times its width w. What is an
expression for the distance between opposite corners of the pool?
No links or files!!!

Answers

w represents width

4w represents length

d represents diagonal

w2 + (4w)2 = d2

w2 + 16w2 = d2

17w2 = d2

±w√17 = d

 

The diagonal is the width times √17.

6 times the difference between q and 1

Answers

Answer:

6q-1. It's not factorsble with rational mumbers.

Answer:

6q - 6

Step-by-step explanation:

6 x (q - 1) =

6 x q - 6 x 1 =

6q - 6

Hope that helps! :)

-Aphrodite

Hi help me out thank youu love

Answers

Answer:

636

Step-by-step explanation:

SA=2LW+2LH+2WH

SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636

Answer:

The answer is 636

Step-by-step explanation:

Brainliest maybe?

:)

rotate the object 90 degrees around the origin. What are the new coordinates?

Answers

Answer:

s

Step-by-step explanation:

d

(3^6/7^-3)= Please I need help!!!

Answers

Answer: [tex]\frac{243}{7}[/tex]

Steps:

[tex]\frac{3^6}{7^-\cdot \:3}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]

[tex]=\frac{3^5}{7}[/tex]

[tex]3^5=243[/tex]

[tex]=\frac{243}{7}[/tex]

Hope This Helps!

Reese used a $60 Amazon gift card to buy stickers for her friends. After paying for 12 stickers, her balance on the gift card was $18. What was the price of each sticker, assuming all the stickers cost the same amount?

Answers

Answer:

3.5 dollars per sticker

Step-by-step explanation:

60 - 18 = 42

42 ÷ 12 = 3.5

I think this is the correct but it may be not , sorry if I wasn't that helpful...

The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2, then determine the diameter of the circle that contains AH. (section 10.6 question 5 in geometry math nation)

Answers

Answer:

Diameter of the circle = 7

Step-by-step explanation:

The exact question is as follows :

Given - The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2

To find - determine the diameter of the circle that contains AH.

Proof -

Given that,

AH = 6

RC = 2

Let us denote,

CB = x

So,

RB is the radius of the circle. It gives the value x + 2

As AH = 6

⇒AC = CH = 3

Also,

BH is the radius,

So, BH = x + 2

Now,

In triangle CBH,

BH² = CB² + HC²

⇒(x+2)² = x² + 3²

⇒x²+2² + 4x = x² + 9

⇒4 + 4x = 9

⇒4x = 9 - 4

⇒4x = 5

⇒x = 5÷4

⇒x = 1.5

So,

Radius = x + 2

           = 1.5 + 2 = 3.5

⇒Radius = 3.5

As we know,

Diameter = 2×Radius

                = 2×3.5

                = 7

Diameter of the circle = 7

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the diameter of the circle is 6.5 units.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The prom is in need of a floral archway, such as the one below.

Segment RC is the perpendicular bisector of segment AH.

If AH = 6 and RC = 2.

Let CB be x.

Then the radius RB will be x + 2

BH = x + 2

Then by the Pythagoras theorem, we have

BH² = CB² + HC²

⇒ (x + 2)² = x² + 3²

⇒x² + 4 +4x = x² + 9

⇒ 4x = 5

⇒ x = 1.25

The radius will be

r = x + 2

r = 1.25 + 2

r = 3.25

Then the diameter will be

Diameter = 2 × r

Diameter = 2 × 3.25

Diameter = 6.5

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

what expressions are equivalent to 1/5•1/5•1/5•1/5

Answers

Answer:

Step-by-step explanation: Because equivalent expressions is when you Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

c because if you put them both in the calculator they are the same

Help me HOW which choice is it

Answers

number 3 is correct

Step-by-step explanation:

smaller<bigger

Number 3 should be correct

Justin bought 4 dozen
cupcakes for a party. How
many cupcakes did he buy?

Answers

Answer:

48

Step-by-step explanation:

One dozen is 12.

12 x 4 = 48

(15) A – 2 2/9 = 1 1/2

16) C – 6.0005 = 2.5

17) B + 55 = 83

Answers

Answer:

A= 67/18

C= 8.5005

B= 28

Step-by-step explanation:

PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!

There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. You reach in and randomly draw a marble,
replace it, and draw another marble. What is the probability that the first will be red and the second will be blue?

a.) 20%
b.) 80%
c.) 8%
d.) 12%

Answers

Answer: Hope This Helps!

Step-by-step explanation:

I would estimate around 8% or 12% is the answer. Red Marbles are a small percentage and the chance it will be picked instead of something else is rare however blue marbles are the most common and chance one will be picked is fairly high.

What is the volume of the rectangular prism? Help pls

Answers

Answer:

10ft³

Step-by-step explanation:

3 x 5 x 2 = 30

30 x 1/3 = 10ft³

Help with this question!Please

Answers

Step-by-step explanation:

The given angle is a 90° . Therefore the sum of both angles is 90° .

> 40 + x = 90

> x = 90 - 40

> x = 50

Solution 2 ;-

> 20 + x = 90

> x = 70

What is the lateral surface area, in square inches, of the figure formed by the net?

Answers

Answer:

71 in²

Step-by-step explanation:

surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)

= 24+20+27 = 71 in²

what is the volume of a bow with a width of 3/2 inches a length of 5/2 inches and a height of 4 inches

Answers

Answer:

v=LxWxH

v= 3/2x5/3x4

v=15/6x4

v=10in³

Why did the physiocrats oppose mercantilism?

The physiocrats wanted a nation to import more goods than it exported.
The physiocrats thought that nations should accumulate bronze, not gold and silver.
Mercantilism worked for the common good.
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.

Answers

Answer:

Mercantilism allowed for government regulation of trade, which interfered with natural market forces.

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