A store having a sale on chocolate chips
and walnuts. For 6 pounds of chocolate chips and 5 pounds of walnuts, the total cost Is $35. For 2 pounds of
chocolate chips and 3 pounds of walnuts, the total cost Is $15. Find the cost for each pound of chocolate chips and each pound of walnuts.
Cost for each pound ( chocolate chips: $
X
0
Cost for each pound of walnuts: $[

Answers

Answer 1

Answer:

chocolate chips: $3.75

walnuts: $2.5

Step-by-step explanation:

lets say chocolate chips cost x dollars and walnuts cost y dollars. we then have

6x + 5y = 35

2x + 3y = 15

multiply the second equation by 3 to get 6x + 9y = 45

subtract the 1st equation from the new equation to get 4y = 10, so y=$2.50

plug this value into the 2nd equation to get x=$3.75


Related Questions

If a kid is 120 cm tall and grows 4 percent taller how tall is he

Answers

124.8
im so sorry if im wrong, i hope u have a amazing day:)


A tabletop in the shape of a trapezoid has an area of 7,367 square centimeters. Its longer base measures
127 centimeters, and the shorter base is 85 centimeters. What is the height?
The height of the tabletop is
centimeters.

Answers

Answer:

69.5 cm

Step-by-step explanation:

Area trapezoid = 1/2 (b1+b2) * h = 7367

1/2(127+85) h = 7367     h=

50 PTS I WILL MARK BRAINLIEST PLS HELP! A book store manager took several random surveys of customers to determine which book genre they purchased most frequently. This table shows the average of each survey.

Based on the data shown in the table, which conclusions can be made about the frequency that customers purchase a genre?

Select each correct answer.


On average, 1 out of 6 customers purchase fantasy books most frequently.

On average, 24% of the customers purchase autobiographies most frequently.

On average, 22% of the customers purchase romance books most frequently.

On average, 2 out of 10 customers, purchase health and wellness books most frequently.
Book Genre Average of Surveys
Autobiographies 24
Mystery 11
Romance 22
Health and Wellness 18
Fantasy 15

Answers

on average one out of 6 customers purchase fantasy books most frequently

Help picture below problem 12 will give brainlest

Answers

Answer:

68°

Step-by-step explanation:

triangle ODB is congruent to triangle FIL. Therefore, angle L is equal to angle B. So angle L is 68°

What is the surface area, in cm2, of the figure shown above ? Round your answer to the nearest tenth .

Answers

Answer:

Hope it helps................

NEED HELP WITH THIS QUESTION QUICK!!!

Answers

Answer:

56 degrees

90-34=56

Right-angle triangle, so the 2 angles should add to 90 to make 180 degrees

Hope this helps!

PLS HELP Use the net to find the lateral area of the prism. 8 15 17 9
answer choices 473 440 275 352

Answers

The lateral area of the prism is the area of the three rectangles in the middle of the net. (The two triangles are the bases of the prism, which don't count toward lateral area.) The total length of the three rectangular prism faces is (8 +15 +17) cm = 40 cm. The width of those rectangles is 9 cm. The lateral area will be the product of this length and width:

... lateral area = (40 cm)(9 cm) = 360 cm²

What are the domain and range of y=-5/6(x+2)^2-8?


PLEASE HELP WILL MARK BRAINIST AND GIVE OUT FREE MORE POINTS IF YOU ARE CORRECT I DO CHECK IT PLEASE AND THANK YOU !!

Answers

Answer:

Domain: allrealnumbers

Range: f(x) <= -8

Step-by-step explanation:

This equation shows that this shape is a parabola that is opening downwards (because of the negative in the -5/6)

This means it has a highest point. The x+2 means the curve is shifted/slid/tranlated to the right 2 units and the -8 at the end shows that it is slid/shifted/translated down 8 units. So the curve only exists starting from -8 and going down. That is the range f(x) <= -8

All upward and downward opening parabolas have a domain of all real numbers.

Let's see

[tex]\\ \rm\rightarrowtail y=\dfrac{-5}{6}(x+2)^2-8[/tex]

[tex]\\ \rm\rightarrowtail x\in R[/tex]

As x lies on numerator for all real numbers its true and never gets undefined

Domain is R

Now

[tex]\\ \rm\rightarrowtail y=\dfrac{-5(x+2)^2}{6}-8[/tex]

Vertex form of parabola:-

y=a(x-h)²+k

On comparing with this

Vertex=(h,k)=(-2,-8)

Hence

Range :-

y≤-8

which expression is represented by the pharase "the square of y decreased by the quotient of 28 and 7"?

Answers

Answer:

y^2 - 28/7

Step-by-step explanation:

what is the result when 1/8 x - 2 5/7 is subtracted from 3 1/4 x + 7 1/14 ?

Answers

Answer:

The answer is

→ [tex]3 \frac{1}{8}x + 9\frac{11}{14}[/tex]

Step-by-step explanation:

Please refer to the link for an explanation: https://brainly.com/question/3591541

A rectangle has one side equal to (2x+4) cm and a perimeter of (6x+4) cm. What is the area of the rectangle in terms of x?​

Answers

The area of the rectangle in terms of x is 2x² - 8

A rectangle is a quadrilateral with four right angles in the Euclidean plane.

A region's size on a flat or curved surface is expressed in terms of area, a unit of measurement. A surface region or plane area is the area of an open surface or the boundary of a three-dimensional object, whereas a plane region or area refers to the area of a form or planar lamina.A perimeter is a closed path that surrounds, encircles, or defines a length in one dimension or a shape in two dimensions.

Given one side of the rectangle is 2x+4 and the perimeter is 6x+4

Let the other side be y.

We know that:

perimeter = 2 × (sum of two sides)

or, 6x + 4 =  2 (2x+4+y)

or,6x + 4 = 4x + 8 + 2y

or, 2x - 4 = 2 y

or, y = x - 2

Now area of the rectangle = product of sides =  (x - 2)(2x+4)

Area = 2x² - 4x + 4x - 8

or, Area = 2x² - 8

Hence the area of the rectangle in terms of x is  2x² - 8

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A pipe needs to be cut into pieces that are each 2/5 feet long. If the pipe is 10 feet long, how many pieces can be made from the pipe? Write your answer in simplest form.

Answers

Answer:

you can get 4 pieces

Step-by-step explanation:

2.5+2.5+2.5+2.5=10. or 2.5×4=10

Assume z is a standard normal random variable. What is the value of z if the area between –z and z is 0.7580?

Answers

to the right is P(z> Z)

so P(z>Z) = 0.9909

P(z< Z) = 1- 0.9909 = 0.0091

Closest values from a z-table

P(z< -2.37) = 0.00889 (-0.00011 away)

p(z< -2.36) = 0.00914 (+0.00014 away)

so the answer must be (c) since it is between -2.36 and -2.37

Aldreba 2
Show all work

Answers

Answer:

rewrite f(g(-2))

plug in -2 in g(x)

g(x)=-2-3

g(x)=-5

now plug in -5 into f(x)

f(x)=-5^2

f(x)=25

25 is the answer

Answer:

-2x^3+6x^2

or simplified : -2x^2(x-3)

Step-by-step explanation:

Rewrite the statement as:

[tex]((x^2)(x-3))(-2)\\[/tex]

Distribute:

[tex](x^2*x-3*x^2)(-2)\\(-2)(x^3-3x^2)\\-2x^3+6x^2[/tex]

simplify by taking a common factor out, in this case, -2x^2:

[tex]-2x^2(x-3)[/tex]

In which direction does the parabola defined by the equation x = 2y^2 – 4 open?

Answers

Answer:

Upward

Step-by-step explanation:

Upward the graph looks like the above picture.

Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers.

Use the drop-down menus to complete the statements below about the number of bags Lucia can make.


CLEARCHECK
The greatest number of bags Lucia can make is
. Each of these bags will have
markers and
stickers.

If she used more bags,
.

She could use
bags, but this is not the greatest number she could use.

Answers

The computation of the factors shows that the greatest number of bags that Lucia can make will be 16.

How to illustrate the factor?

From the information given, Lucia has 48 markers and 64 stickers that she wants to give as favors for a party.

The computation of the factors shows that the greatest number of bags that Lucia can make will be calculated through then factors. This goes thus:

Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48

Factors of 64 = 1, 2, 4, 8, 16, 32, and 64.

Therefore, the highest common factor is 16.

Learn more about factors on:

https://brainly.com/question/219464

Answer:

16

Step-by-step explanation:

Find the volume of the prism.

A drawing of a rectangular prism. It has length 1 foot, width mixed number one and one third feet and height one-half foot.

The volume is
cubic feet.

Answers

Answer:

2 thirds, or 0.666666666667

Step-by-step explanation:

In an arithmetic sequence of numbers a1 = -4 and a6 = 46. Which of the following is the value of a12?

Answers

Answer:

a₁₂ = 106

Step-by-step explanation:

Given

a₁ (first term) = -4a₆ = 46

Formula for nth term

aₙ = a₁ + (n - 1)d

Using that to expand a₆ and find d

a₆ = a₁ + (n - 1) d46 = -4 + (6 - 1)d50 = 5dd = 10

Finding a₁₂

a₁₂ = a₁ + 11da₁₂ = -4 + 11(10)a₁₂ = 110 - 4a₁₂ = 106

Answer:

[tex]a_{12}=106[/tex]

Step-by-step explanation:

Arithmetic sequence

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

[tex]a_n[/tex] is the nth terma is the first termd is the common difference between terms

Given:

[tex]a_1=-4[/tex][tex]a_6=16[/tex]

To find the common difference (d), substitute the given values into the general formula and solve:

[tex]\begin{aligned}\implies a_6=(-4)+(6-1)d & =46\\ 5d-4 & =46\\ 5d & = 50\\ d & =10\end{aligned}[/tex]

Therefore, the equation for the nth term is:

[tex]\begin{aligned}a_n &=-4+(n-1)10\\& =10n-14 \end{aligned}[/tex]

To find the 12th term, substitute n = 12 into the equation:

[tex]\implies a_{12}=10(12)-14=106[/tex]

Help help help math math

Answers

Answer:

Yes

Step-by-step explanation:

The relation here is we see that the y value is 1 less than the x value.

So, the function can be written as :

y = x - 1And this is clearly a linear function

(-x^2 -2) + (2x^2 + -1)

Answers

Answer:36

Step-by-step explanation:

x2 - 10x + 25 = 0 2x2 - 2x - 5 = 0 x2 - 16x = 36. This problem has been solved!

Natalie Albert deposited checks totaling $1,735,97 into her savings account. She withdrew $100.00 while
depositing some coins. If her total deposit was $1,668.71, how much did Natalie deposit in coins?

Answers

Anything withdrawn you subtract. Then, you know the total and you know what you had. Subtract total from what you had and you will see the change.

1735.97-100=1635.97

1668.71-1635.97=32.74



Natalie Albert deposited checks totaling $1,735,97 into her savings account, she withdrew $100.00 while depositing some coins. If her total deposit was $1,668.71 then Natalie deposited $32.74 in coins.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let's call the amount Natalie deposited in coins "x".

We know that her total deposit was $1,668.71,

so we can write an equation:

1,735.97 - 100.00 + x = 1,668.71

Simplifying, we get:

1,635.97 + x = 1,668.71

Subtracting 1,635.97 from both sides, we get:

x = 32.74

Therefore, Natalie deposited $32.74 in coins.

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Sophia goes to an icecream shop to get a medium ice cream that costs $4.50, Sophia only has $6.40 and toppings are $0.75 each. Write an inequality to find how many toppings Sophia can get .

Answers

Answer:

x ≤ 2

Step-by-step explanation:

4.5 = medium ice cream

0.75x = toppings, x = amount of toppings

Sophia has $6.4, so 4.5+0.75x has to be less or equal to that.

4.5 + 0.75x ≤ 6.4, solve

0.75x ≤ 1.9

x ≤ 2 8/15

BUT you cannot get half a topping or a fraction of a topping,

so, x ≤ 2 toppings.

Sophia can get 2 or less toppings.


Base in your answer on exploration, what relationship exist between 30o
and 150o, 45o, and135o, and 60o and 120o?

Answers

Answer:

they all have a factor of 5

Step-by-step explanation:

The manufacturer of color televisions can sell 1900 sets to his dealers at $575 each. If the price is $470, he can sell 2600 sets. The total cost of producing x television sets is C(x)=3300+608x−0.09x^2. Assuming the demand function is linear, find the price per set that will maximize profit. Round your answer to the nearest cent, if necessary.

Answers

Answer:

  $545

Step-by-step explanation:

Finding the price that maximizes profit requires several steps. We need the demand function that tells quantity sold in terms of selling price. With this, we can express the cost and revenue functions in terms of selling price. The profit will be the difference between revenue and cost.

__

demand

The demand (q) is said to be a linear function of price (p). The equation for that can be written ...

  q(p) = (q2 -q1)/(p2 -p1)(p -p1) +q1 . . . . . for two points (p1, q1) and (p2, q2)

Using the given demand points, this can be ...

  q(p) = (1900 -2600)/(575 -470)(p -470) +2600

  q(p) = -20/3(p -470) +2600

  q(p) = -20/3p +5733 1/3

__

cost

The cost function in terms of selling price can be found by substituting the q(p) equation for x in c(x). For the purpose of finding the maximum profit, we only need the marginal cost function:

  c(q(p))' = c'(q(p))·q'(p) = (608 -0.18(q(p)))·(-20/3) = (608 -0.18(-20/3p +5733 1/3))(-20/3)

  c'(p) = -8p +2826 2/3

__

revenue

As with cost, the function we need for finding the maximum profit is the marginal revenue function. Revenue is the product of price and demand, so the marginal revenue is ...

  r(p) = p·q(p)

  r'(p) = q(p) +p·q'(p) = (-20/3p +5733 1/3) +p(-20/3)

  r'(p) = -40/3p +5733 1/3

__

maximum profit

The maximum profit is found where the marginal profit is zero. In turn, that is found where the difference between marginal revenue and marginal cost is zero:

  P = R -C

  P'(p) = 0 = r'(p) -c'(p) = (-40/3p +5733 1/3) -(-8p +2826 2/3)

  0 = -16/3p +2906 2/3

  16p = 8720 . . . . . multiply by 3, add 16p

  p = 545 . . . . . . . price for maximum profit

The price per set that maximizes profit is $545.00.

In 3x2 + 1 = 13, what is x called?

A
Coefficient

B
Expression

C
Variable

D
Range

Answers

Answer:

According to this problem, i would say the answer is c

Step-by-step explanation:

a variable examples are letters such as x, y, z, n

PLEASE HELP i realy don’t understand this at all

Answers

Check the picture below, recall that the radius of a circle is always the same length in the circle.

i need serious help lol

Answers

Answer:

A, C, can't see full answers

Step-by-step explanation:

a. 15/3=5 plus 10 is 15

The table below represents the scores of ten students in Ms. Williams’s class on a math and science test.

Answers

Answer: the answer is A or the 1st one

Step-by-step explanation:

Answer:

the answer is the frist one

Step-by-step explanation:

Marcus builds a brick wall that is 23 bricks across and 130 bricks high. Which is the best estimate of about how many bricks Marcus will use to build the wall

Answers

Answer: 2,990 Is the amount of Bricks Marcus will use for the wall

Step-by-step explanation:

If the wall is 130 bricks high and 23 bricks across then all you have to do is 130 x 23 which gives you 2,990

but since the question asks for best estimate just choose the answer closest to 2,990 unles they have 2,990 as an answer

Hope this Helps!

Has this ever happened to you? Describe what took place and your reactions to the incident.

Answers

Please verify what you’re asking.
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