Mei and Alberto are selling cookie dough. Mei sold 11 packages of chocolate chip and 12 packages of gingerbread for a total of $352. Alberto sold 10 packages of chocolate chip and 8 packages of gingerbread for a total of $270. What is the price of a package of chocolate chip and the price of a package of gingerbread?

Answers

Answer 1

Answer:

The price of a package of chocolate chip is $13.25

The price of a package of gingerbread is $17.18

Step-by-step explanation:

11x + 12y = 352

10x +8y = 270

Let "x" be the price of a package of chocolate chip.

Let "y" be the price of a package of gingerbread.

11x + 12y = 352(Multiply the 1st row by 10)

10x +8y = 270 (Multiply the 2nd row by 11)

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

110x + 120y = 3520

110x +88y = 2970

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

        3y = 550

y =550/3

y = 17.1875

The price of a package of gingerbread "y" is $17.18

Let's pick the first equation "110x + 120y = 3520"

110x + 120y = 3520

110x+ 120(17.1875)= 3520

110x+2062.5=3520

110x=3520−2062.5

110x=1457.5

x= 1457.5/110

x=13.25

The price of a package of chocolate chip is $13.25


Related Questions

Michael owns a small business selling bagels. He knows that in the last week 28
customers paid cash, 18 customers used a debit card, and 25 customers used a credit
card.
If next week, he is expecting 1500 customers, about how many would you expect to
pay with cash? Round your answer to the nearest whole number.

Answers

Answer:592

Step-by-step explanation:

If you place a 38-foot ladder against the top of a 32-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.

Answers

Answer: 20.5

Step-by-step explanation:

The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

In the event that you place a 38-foot stepping stool against the highest point of a 32-foot building.

Let 'x' be the horizontal distance on the ground. Then the equation is given as,

38² = 32² + x²

Simplify the equation, then we have

1444 = 1024 + x²

x² = 420

x = 20.5 feet

The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

need this done in five omgg pls help 19 points

Answers

6.64mm² multiply the cm and get that

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFraction one-fourth EndFraction left-parenthesis x minus 12 right-parenthesis.(x – 12). What is the standard form of the equation for this line?

Answers

Given:

The line passes through the two points (–4, –3) and (12, 1).

The point-slope form of the equation of the line is:

[tex]y-1=\dfrac{1}{4}(x-12)[/tex]

To find:

The standard form of the equation for this line.

Solution:

The standard form of a line:

[tex]Ax+By=C[/tex]

The given point-slope form of the equation of the line is:

[tex]y-1=\dfrac{1}{4}(x-12)[/tex]

Multiply both sides by 4.

[tex]4(y-1)=(x-12)[/tex]

[tex]4y-4=x-12[/tex]

[tex]-4+12=x-4y[/tex]

[tex]8=x-4y[/tex]

Interchanging the sides, we get

[tex]x-4y=8[/tex]

Therefore, the standard form of the equation for this line is [tex]x-4y=8[/tex].

y = one-fourth x minus three-fourths got it on the edge

Find the solution to the system of equations

Answers

Answer:

(-1, 1)

Step-by-step explanation:

Just look at where the two lines intersect and thats the soloution

Type CIRCLE WORD if the statement is correct. FALSE if its not.

2:A circle is an angle formed by two radii
3:Every diameter is also called a chord
4:A center is any point on the circle
5:The vertex of inscribed angles lies on the center of a circle


Please answer this now!! As soon as possible i have only 3 minutes!​

Answers

Answer:

2 ONE IS TRUE AS IT HALF THE DISTANCE BETWEEN THE CIRCLE IS CALLED RADIUS AND FULL DISTANCEIS CALLED RADII WHICH MEANS PLULAR OF RADIUS

Step-by-step explanation:

2x1= how much answer ​

Answers

It’s two






Explanation:
2x1 = 2

Answer:

2X1 = 2

Step-by-step explanation:

When multiplying a number times 1 it Would stay the same as the first number was before 1 number over that and It would end up equaling an actual number like for example 2x2 = 4 confused on how you got 2x1 as 2? Well simple let me explain it more with other equations 7x1 = 7 4x1 = 4 20x1 = 20 you see?

Pat and Rick are sales associates at a store. Pat makes 2 sales for every 3 customers that he helps. Rick makes 3 sales for every 4 customers that he helps.

Pat
Sales Customers
2 3
4
6
8
Rick
Sales Customers
3 4
6
9
12

Complete the ratio tables for Pat and Rick by entering the missing value in each box.
(4,
)

(6,
)

(8,
)

(6,
)

(9,
)

(12,
)

Answers

Answer:

Step-by-step explanation:

Solve the equation
X/x+2 - 4/x-2=1​

Answers

Answer: - 2/3 but in decimal form it is -0.6 repeating

Step-by-step explanation:

What is the solution to 13x+5=96

Answers

Answer:

x=7

Hope this helps!

Answer:

x = 7

Step-by-step explanation:

13x + 5 = 96

Subtract 5 from both sides.

13x = 91

Divide both sides by 13.

x = 7

The value of V-4 is not -2 because .

A.
(-2)2 -4

B.
22 -4

C.
(-4)2 -2

D.
42 -2

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

The correct choice is marked.

The square of the square root is the number being rooted. -2 is not the square root of -4 because it square (-2)² is a positive number, not equal to -4.

ESTION 4
en: f(x)=2-x +1
Determine the coordinates of the y-intercepts​

Answers

The answer is F(0)=3

algebra two I need to show all work so please if you do help please help me with the work portion

Answers

Answer:

8.

[tex]\sqrt[3]{\frac{7x^3}{64y^4} } = \frac{(7x^3)^{\frac{1}{3}} }{(64y^4)^{\frac{1}{3} }} =\frac{7^{\frac{1}{3} }*x}{4^3^{\frac{1}{3} }y^4^{\frac{1}{3} }} =\frac{x}{4} \sqrt[3]{\frac{7}{y^4} }[/tex]

9.

[tex]\frac{4+\sqrt{6} }{3\sqrt{6} } =\frac{(4+\sqrt{6} )(\sqrt{6}) }{3\sqrt{6} \sqrt{6} } =\frac{4\sqrt{6}+6 }{3*6} =\frac{4\sqrt{6} +6}{18} =\frac{2\sqrt{6} +3}{9}[/tex]

10.

[tex]\frac{2 + 5\sqrt{2} }{2-\sqrt{2} }= \frac{(2 + 5\sqrt{2})(2+\sqrt{2}) }{(2-\sqrt{2})(2+\sqrt{2} ) } = \frac{4+ 2\sqrt{2} + 10\sqrt{2} +10 }{2^2 -\sqrt{2}^{2} } =\frac{14 + 12\sqrt{2} }{4-2} =\frac{14 + 12\sqrt{2} }{2} = 7 + 6\sqrt{2}[/tex]

Are the equations 3x=−9 and 4x=−12 equivalent? Explain.
yes they are

Answers

Step-by-step explanation:

Yes they are equivalent. You get -3 when you try solving the actual equation.

A pinwheel's four blades are all congruent right trapezoids.

4 in

2 in

2 in

What is the combined area of the four blades, in square inches?

Answers

Answer:

[tex]Area = 24\ in^2[/tex]

Step-by-step explanation:

Given

Let

[tex]a, b \to[/tex] opposite sides of each trapezoid

[tex]h \to[/tex] height

[tex]a = 2; \ \ \ b = 4 \ \ \ \ h = 2[/tex]

See attachment for trapezoids

Required

The combined area of the 4

First, we calculate the area of 1

[tex]Area = \frac{1}{2}(a + b) * h[/tex]

So:

[tex]A_1 = \frac{1}{2}(2 + 4) * 2[/tex]

[tex]A_1 = \frac{1}{2}*6 * 2[/tex]

Using a calculator

[tex]A_1 = 6[/tex]

The combined area is:

[tex]Area =n * A_1[/tex]

Where

[tex]n = 4[/tex] --- 4 blades

So:

[tex]Area = 4 * 6[/tex]

[tex]Area = 24\ in^2[/tex]

All of the following represent five multiplied by four except _____.
5(4)
5^4
5 · 4
5 × 4

Answers

The second one 5^4
That’s equal to 5 x 5 x 5 x 5

will give brainliest and 50 points
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.

Answers

when you divide -8/2=-4 and 2/2=1

-4<1

when you divide by a negative number your sign changes

4>-1

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.

Answer:

see below

Step-by-step explanation:

When multiplying or dividing an inequality by a positive, the inequality remains the same direction

3x < 6

Divide by 3

3x/3 < 6/3

x <2

When multiplying or dividing an inequality by a negative, the inequality changes direction

-3x < 6

-3x/ -3 > 6/-3

x > -2

Which best describes the solution for the system of linear equations graphed below?
-6 -5 -4 -3 -2 -1 0
1 2 3 4 5 6
- 2
A (0,5) only
B (1,0) only
C no solution
D infinitely many solutions

Answers

Answer:

D is correct Answer. Parallel line on graph means infinity many solutions.

The coordinates of 4 points are A(0,9), B(k + 1, k + 4), C(2k, k + 3) and
D(2k + 2, k + 6). Find the value(s) of k if
(a) the points A, B and C are collinear,
(b) AB is parallel to CD.​

Answers

9514 1404 393

Answer:

  (a) 2 or 3

  (b) -13

Step-by-step explanation:

(a) A, B, and C are collinear if there is some constant 'c' such that ...

  B - A = c(C - A)

This will give rise to two equations in 'c' and 'k'.

  (k +1, k +4) -(0, 9) = c((2k, k+3) -(0, 9))

  (k +1, k -5) = c(2k, k -6)

And the two equations are ...

  k +1 = 2ck

  k -5 = c(k -6)

From the first, we find ...

  c = (k +1)/(2k)

From the second, we find ...

  c = (k -5)/(k -6)

Equating these expressions for c gives ...

  (k +1)/(2k) = (k -5)/(k -6)

  (k +1)(k -6) = 2k(k -5) . . . . . . . multiply by 2k(k-6)

  k^2 -5k -6 = 2k^2 -10k

  0 = k^2 -5k +6 = (k -3)(k -2)

Solutions that make the factors zero are ...

  k = 3  or  k = 2

There are two values of k that make the points collinear: 2 and 3.

__

(b) AB is parallel to CD when the slopes of the lines between them are the same

  slope of AB = (k+4 -9)/(k+1 -0) = (k -5)/(k +1)

  slope of CD = ((k +6 -(k +3))/(2k +2 -2k) = 3/2

Equating these slopes and solving for k, we get ...

  (k -5)/(k +1) = 3/2

  2(k -5) = 3(k +1)

  2k -10 = 3k +3

  -13 = k

AB is parallel to CD when k = -13.

_____

The attached shows the collinear points on the red and blue lines. The points that make parallel lines are shown on the purple lines. (The purple circles correspond to points D for k=2 and 3, so are irrelevant.) Point D is not labeled with its coordinates, (-24, -7).

HELPPP PLSSS!!!!!!!!!! QUICK!!!!!!! ILL GIVE BRAINLEST

Answers

Answer:

76

Step-by-step explanation:

50 POINTS!
Only help if you know how to do the problem please.

Answers

Answer:

The position equation will be:

[tex]y(t)=2sin(\frac{2\pi}{3} t)[/tex]

Step-by-step explanation:

The general position equation of mass attached to a spring is given by:

[tex]y(t)=Asin(\omega t-\phi)[/tex]

Where:

A is the amplitude of the sinusoidal motion ω is the angular frequency (ω=2πf)∅ is the phase (zero in our case)

We know that it takes 3 sec for the spring to complete one cycle. It means the period is T = 3 s.

Let's recall that T = 1/f where f is the frequency, so f = 1/3 Hz and hence ω=2π(1/3)=2π/3.

The amplitude is the distance from the origin to the crest. In our case, A = 4/2 in = 2 in, because the distance from the highest to the lowest is 4.

Therefore, the position equation will be:

[tex]y(t)=2sin(\frac{2\pi}{3} t)[/tex]

I hope it helps you!

In parallelogram ABCD, AC=87.5 and BC=52.5. If ABCD is a rectangle, find AB.

Answers

We can do this using Pythagorus,,,
87.5*2 - 52.5*2 = AB*2
4900 = AB*2
70 = AB

Cuantos kilogramos hay en 20 miligramos?​

Answers

Hay .00002 kilogramos en 20 millagramos

Hellppppppppp!!!!!!!!!!

Answers

Answer:

0= - 3

1= - 1

2= 1

That is the answer to the table

What are the dimensions of the following matrix

Answers

4*3 ..............................^ - ^

Can someone help me please?

Answers

Answer:

4.5in, 8in

Step-by-step explanation:

So, what is radius?

Well, diameter is the distance from one side of a circle to the other.

Radius is half of diamater, or the distance from any side to the middle of the circle.

Problem #1:

In this case, the distance from side of the circle to the other side is 9.

Since this is side to side, it must be diameter. We know that radius is half of diameter, so radius is:

9/2

=

4.5

This is your radius.

Problem #2:

In this case, the distance from the one side to the other side of the circle is 16. Again, this is the diameter. So the radius will be half of 16:

16/2

=

8

So this is your radius.

Hope this helps!

Answer:

4.5 in. and 8 ft. respectively

Step-by-step explanation:

The diameter of a circle is the product of the radius and 2. So, the radius would be the quotient of the diameter and 2.

A loan of $7,000 for 4 acres of woodland is compounded somiannually at an annual rate of 8% for 3 years.

How much INTEREST is paid at the end of 3 years?

Answers

Answer:

$560

Step-by-step explanation:

Someone please HELP! Thanks so much

Answers

Answer:

c. 6

Step-by-step explanation:

please mark as brain and like please please follow me and I'm waiting excitedly for the reaction of you and your like a good day

please answer this question

Answers

Answer: 12

Step-by-step explanation:

speed my bois
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Answers

Answer:

28 ft²

Step-by-step explanation:

7 · 4 = 28

28 ft²

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