A woman buys 50 eggs for $6.60. Some cost 12 cents each and the rest 14 cents each.
How many of each kind of eggs has she bought?​

Answers

Answer 1

Answer:

She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.

Step-by-step explanation:

Create a system of equations where x is the number of 12 cent eggs and y is the number of 14 cent eggs.

x + y = 50

0.12x + 0.14y = 6.6

Solve by elimination by multiplying the top equation by -0.12:

-0.12x - 0.12y = -6

0.12x + 0.14y = 6.6

Add these together and solve for y:

0.02y = 0.6

y = 30

So, she bought 30 eggs that were 14 cents. Plug in 30 as y into one of the equations, and solve for x:

x + y = 50

x + 30 = 50

x = 20

So, she bought 20 eggs that were 12 cents.

She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.


Related Questions

I’m stuck on this question plz help

Answers

Answer:

3(n-8)

Step-by-step explanation:

Explain fully, please

Answers

Answer:

Step-by-step explanation:

formula of volume of cone is given so u simply substitute the values given and calculate.

Work is done for u .

Hope this helps u

A first number is 4 less than a second number. Four times the first number is 6 more than twice the second. Find the numbers

Answers

Answer:

first number = 7

second number = 11

Step-by-step explanation:

A first number is 4 less than a second number

f = s - 4

Four times the first number is 6 more than twice the second

4f = 2s + 6

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

Substitute for f = s - 4

4(s - 4) = 2s + 6

distribute

4s - 16 = 2s + 6

subtract 2s from both sides

2s - 16 = 6

add 16 to both sides

2s = 22

Divide both sides by 2

s = 11

Substitute for s = 11 in

f = s - 4

f = 11 - 4

f = 7

Solve -7u = -21 for u. u =

Answers

Answer: u = 3

Step-by-step explanation:

Divide each side by -7 to get u = 3.

Answer:

3

Step-by-step explanation:

-7u = -21

To solve the problem we need to isolate u. Since -7 is being multiplied by u, we could divide to get rid of it.

-7u

[tex] \frac{ - 7u}{ - 7} = - 21 \div - 7[/tex]

u= -21/-7

u = 3

If I roll 3 Dice .. What is the probability that I roll, a Even Number, and Odd Number, and a number bigger than 3. (P even, odd and >3)

Answers

The probability of rolling an even number, odd number and a number bigger than three is ½ or 50%.

plz help ill make u brainliest

A manufacturer ships its product in boxes with edges of 4 inches. If 12 boxes are put in a carton and completely fill the carton, what is the volume of the carton?

Answers

A box would be 64inches cubed
12x64 =768
So the volume of the carton is 768inches cubed

Determine the value of”k” when the lines y=k/3x+2 and y=1/4x+2 are perpendicular.

Answers

Answer:

k = -12

Step-by-step explanation:

When lines are perpendicular, their slopes are the opposite reciprocal of each other.

The opposite reciprocal of [tex]\frac{1}{4}[/tex] is -4

[tex]\frac{k}{3}=-4[/tex]

k = -12

State if triangles HAG and CAB are similar and why.

Answers

i think the answer is they are similar by SSS, but they are definitely similar

The sum of 4 and y divided by 5 equal to 9. Find the value of y.​
pls a better solution

Answers

Answer:

y=41

Step-by-step explanation:

Let us start by writing an equation. 4 plus y divided by 5 equals to 9 :

[tex]\frac{4+y}{5}=9[/tex]

Great! Now let us solve for the variable, y, by isolating the terms:

[tex]4+y=45\\y=41[/tex]

I hope this helps! Let me know if you have any questions :)

no links please!!!!!!!!!ty!!!

Answers

Answer:

<2 = 75

Step-by-step explanation:

<1 and <2 form a straight line which means that they add to 180

<1+<2 =180

105+<2 =180

Subtract 105 from each side

<2 =180-105

<2 = 75

What number is three times larger than 3×10 exponent
4 on top of the ten

Answers

3x10^4 = 30 000.

Now just do 30 000 x 30 and you get 900 000, which is 9x10^5

Solve the system of equations algebraically by using substitution method:

-3x+3y=9
-x+y=3

Answers

Answer:

This system has infinite solutions and it would be much easier to solve it by elimination but substitution it is.

Step-by-step explanation:

-3x+3y=9

-x+y=3

Isolate either x or y in any of the equations. I'll go with the second.

y = 3+x

Now substitute this for y in the first equation.

-3x+3(3+x)=9

Distribute the 3

-3x+9+3x=9

Combine like terms:

9=9

0=0

It's infinite

Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form

Answers

Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

Step-by-step explanation:

Formula for gradient of a line segment :

[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]

Given points of the line segment: (-5,2) and (4,3)

[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{9}[/tex]

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

solve kx-3=5 for x
a
b
c
or
d

Answers

Answer:

x = 8/k

Step-by-step explanation:

kx - 3 = 5

Add 3 to each side

kx -3+3= 5+3

kx = 8

Divide by k

kx/k = 8/k

x = 8/k

Answer:

x = 8 / k

Step-by-step explanation:

Let's solve for x.

kx − 3 = 5

Step 1: Add 3 to both sides.

kx −3 +3 = 5 + 3

kx = 8

Step 2: Divide both sides by k.

kx / k = 8k

x = 8 / k

Does f(x) = - 3x² + 6x - 4 have a maximum or
minimum? Find the value

Answers

Answer:

Maximum value.

it = -1.

Step-by-step explanation:

Maximum value as the coefficient of x^2  is negative.

To find this value we convert to vertex form:

y = -3x^2 + 6x - 4

y = -3(x^2 - 2x) - 4

y = -3[(x - 1)^2 - 1] - 4

y = -3(x - 1)^2 + 3 - 4

y = =3(x - 1)^2 - 1

Minimum value = -1.

A family tree business removes overgrown trees for 3 months in the summer. In June, they removed 1/3 the number of trees as they did in July. In August, they removed twice the number of trees as they did in July. They removed less than 1000 trees in the three months. What is the maximum number of trees they removed in July?​

Answers

Answer: 299

Step-by-step explanation:

Given

Family removes one-third of tress in June as much as they dd in July

They remove twice the number of July in august

Suppose they removed x trees in July

for June it is, [tex]\frac{x}{3}[/tex]

for August, it is [tex]2x[/tex]

If they removed less than 1000 tress in 3 months

[tex]\Rightarrow \dfrac{x}{3}+x+2x<1000\\\\\Rightarrow \dfrac{x+3x+6x}{3}<1000\\\\\Rightarrow \dfrac{10x}{3}<1000\\\\\Rightarrow \dfrac{x}{3}<100\\\\\Rightarrow x<300[/tex]

So, maximum number of tress removed in July is 299

- Andrew gave half of his money to support a local charity. From what was left, he spent
$22.75 on a present for his sister. If he had $183.89 left over, how much did he have to
begin with?

Answers

Okay so basically you need to see what half of the amount he started with was to do that you need to add both of the numbers ^^^ = 206.64. Which is half of the starting number so you times by two. =$413.28

Place the following linear equation in slope intercept form: 6x - 4y = 9

Answers

Answer:

y = 3/2 x - 9/4

Step-by-step explanation:

bring all the y's to one side.

4y = 6x-9

divide by 4 to isolate the y

y = 6/4x - 9/4

simplify

y = 3/2 x - 9/4

Answer:

y = (3/2)x - 9/4

Step-by-step explanation:

Slope intercept form is

y = mx + b

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

6x - 4y = 9

subtract 6x from both sides

-4y = -6x + 9

Divide both sides by -4

y = (3/2)x - 9/4

A camera and a case cost 100 dollars. If the camera cost 90 more dollars than the case. How much does the case cost.

Answers

Answer:

Cost of case = $5

Step-by-step explanation:

x = cost of camera and y = cost of case

x = y + 90

x + y = 100

y + 90 + y = 100

2y = 10

y = 5

x = y + 90

x = 5 + 90

x = 95

Therefore, the cost of the camera is $95 and the cost of the case is $5.

The cost of case is 5 dollars.

What is the equation?

The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Let,

Cost of camera = a and

Cost of case = b

Given that, camera and a case cost 100 dollars

a + b = 100

Since, the camera cost 90 more dollars than the case

So, a = b + 90

Substitute the value in the equation a + b = 100

b + 90 + b = 100

2b = 10

Divided by 2 both the sides

b = 5

Substitute the value of b in equation

a = b+ 90

a = 5 + 90

a = 95

So, the cost of the camera is $95 and the cost of the case is $5.

Hence, the cost of the case is 5 dollars.

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

Round 187.890 to the nearest 10 000

Answers

Answer:

190,000

190,000

190,000

Step-by-step explanation:

190,000

190,000

If it takes star 1/2 a can of sauce to cover 3/4 of a pizza,compute the unit rate in terms of cans of sauce per pizza

Answers

I think it might take 4/6, or 2/3

Explanation: because 1/2 a can of sauce covers 3/4 of the pizza, you still need 1/4 of the pizza covered. 1/4 if 1/3 of 3/4. That means you need an additional 1/3 of the 1/2 can of sauce - 1/3 of 1/2 is 1/6. So, if we add the original 1/2, which is equal to 3/6, with the additional 1/6, we get 4/6. 4/6 can be simplified to 2/3. I’m not sure if I’m right cause I’m bad at math but you could give it a try. :)

Is it a function yes or no. 1,2,3,4,5,6.

Answers

1. no 2. no 3. yes 4. yes 5. no 6. no

Helppppppppppp meeeeeee please ASAP

Answers

Answer:

x = 11

Step-by-step explanation:

(7x + 5)° = (3x + 19)° + (2x + 8)°

7x + 5 = 5x + 27

2x = 22

x = 11

a/2-8=-4
I have no idea how to do this!!

Answers

Answer:

a = 8

Step-by-step explanation:

a ÷ 2 - 8 + 8 = - 4 + 8

a ÷ 2 = 4

a ÷ 2 × 2 = 4 × 2

a = 8

Answer:

a = 8

Step-by-step explanation:

Given

[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )

[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )

a = 8

Sum1 plz help with this

Answers

Answer:

ur answer is 8.06

Step-by-step explanation:

a² + b²= c²

4² + 7² = c²

16 + 49 = c²

65 sooo u do √65= 8.06

A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft​

Answers

Answer:

48 ft

Step-by-step explanation:

Here, we want to find the length of the wire

from the diagram, we can identify two similar triangles

The smaller one and a bigger one

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

We can start by getting the height of the tower

we have this as:

8/11 = 28/x

8 * x = 28 * 11

8x = 308

x = 308/8

x = 38.5 ft

So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height

So we can use the Pythagoras’ theorem to get the hypotenuse

Let us call this g

mathematically according to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

thus, we have it that;

g^2 = 38.5^2 + 28^2

g^2 = 2,266.25

g = √2,266.25

g = 47.61 which is approximately 48 ft

math. please help..with working ​

Answers

Answer:

[tex]\text{(C) }300\pi\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]V=r^2\pi \cdot h[/tex].

What we're given:

[tex]r[/tex] of 5 cm[tex]h[/tex] of 12 cm

Substituting given values, we get:

[tex]V=5^2\pi \cdot 12 =\boxed{300\pi\:\mathrm{cm^3}}[/tex]

Answer:

c

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]V=\pi r^2h[/tex]

We know r is 5, and h is 12.

Then we can just plug the values into the formula.

[tex]V=\pi (5)^2(12)\\ V=\pi (25)(12)\\\V=\pi (300)[/tex]

So the answer is c, 300pi

4. Meg uses 1/2 of her supply of raisins
to make trail
mix and 3/10 of her supply of raisins to make
cookies. If Meg uses 8 pounds of raisins, how many
pounds of raising are in her supply

Answers

Answer:

10 pounds

Step-by-step explanation:

Let x represent the amount of raisins Meg have in her supply. She uses 1/2 of her supply of raisins  to make trail  mix and 3/10 of her supply of raisins to make  cookies which gives a total of 8 pounds of raisins being used. To find the amount of raisins she has in her supply, we use the equation:

(1/2)x + (3/10)x = 8

multiply through by 20:

(1/2)x * 20 + (3/10)x * 20 = 8 * 20

10x + 6x = 160

16x = 160

Divide both sides of the equation by 16:

16x/16 = 160/16

x = 10 pounds

Therefore she have 10 pounds of raisins in her supply

PLEASE HELP ME WITH THESE 2 QUESTIONS

Answers

Answer:

Step-by-step explanation:

Natasha is 12 years old and her teacher is 36. Which ratio best repersents Natasha's age in 4 years and here teachers age in 4 years A. 1:3 B. 2:5 C. 3:10 D. 4:9

Answers

I think it is A- 1:3 :)
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