Marissa wants to blend candy selling for $1.80 per pound with candy costing $1.20 per pound to get a mixture that costs her $1.40 per pound to make. She wants to make 90 pounds of the candy blend. How many pounds of each type of candy should she use?

Answers

Answer 1

Answer: 30 lb of $1.80 candy

60 lb of $1.20 candy

Step-by-step explanation:

let ( x )represent the pounds of $1.80 candy.

Then 90-x will be pounds of $1.20 candy, • Total mix

= 1.80x + 1.20(90-x)

But because we the value to be same as 90 pounds of $1.40 per pound mix, so the equation

= 1.80x + 1.20(90 -x) = 1.40(90)

Simply the equation

= 1.80x + 108 - 1.20x = 126

= 0.60x + 108 = 126

0.60x = 126 - 108

0.60x = 18

divide both sides by 0.60

x = 30.

30 lb is the pounds of $1.80 candy

Substitute x into 90-x

90 - 30

= 60.

pounds of $1.20 candy Is 60 lb.


Related Questions

What is the slope of the line that goes through points (−3,−4) and (−7,16)? please help

Answers

Answer:

5

Step-by-step explanation:

slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

The second y point is 16 and the first is -4, so:

(16) - (-4)

Which can be written as 16 + 4 because a double negative makes a positive. Do the same for the x points, -7 and -3:

(-7) - (-3)

(-7) + (3)

Now solve both of them:

16 + 4 = 20

(-7) + 3 = -4

Remember, the slope formula is y over x, so we still need to put it into the fraction form:

[tex]\frac{20}{-4}[/tex]

You can reduce this to [tex]-\frac{5}{1}[/tex], or 5.

The slope of the line will be "-5".

Given points are:

[tex](x_1,y_1) = (-3,-4)[/tex][tex](x_2,y_2) = (-7,16)[/tex]

As we know the formula,

Slope, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

                  [tex]= \frac{16-(-4)}{-7-(-3)}[/tex]

                  [tex]= \frac{16+4}{-7+3}[/tex]

                  [tex]= -\frac{20}{4}[/tex]  

                  [tex]= -5[/tex]

Thus the above answer is correct.

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When you add 2 positive intergers, the answer is always positive. When you subtract 2 positive intergers, is their difference always a positive interger? Explain.

Answers

Answer:

No. If the second positive integer is larger than the first positive integer in a subtraction problem, the difference will be negative.

Step-by-step explanation:

What is the slope of 3x-7y=21

Answers

Answer:

3/7

Step-by-step explanation:

The amount of seed a landscaper uses and the area
of lawn covered have a proportional relationship
Complete the table.

Answers

Answer/Step-by-step explanation:

Since there is a proportional relationship between amount of seed a landscaper uses and the area of lawn covered, therefore: constant of proportionality = area covered / seed.

The constant of proportionality would be same for all pairs of values given in the table.

Thus:

[tex] \frac{75}{3} = \frac{25}{1} = 25 [/tex]

[tex] \frac{100}{4} = \frac{25}{1} = 25 [/tex]

Answer:

25/1, 25

Step-by-step explanation:

Jylene and her brother had a total of $35.19 to buy school supplies. Jylene’s school supplies cost $12.78

Answers

Answer:

whats the question

Step-by-step explanation:

Answer:

What is the question???

Step-by-step explanation:

A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of X

Answers

Answer:

x = 114°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

x = 114°

The value of angle x in the triangle will be equal to 114°.

What is an exterior angle?

When one side of a triangle is extended, an external angle of the triangle is created. The external angle of the triangle is the non-straight angle (the one that is not simply the extension of the side) that is outside the triangle but close to an interior angle.

Given that a side of the triangle below has been extended to form an exterior angle of 132°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

x = 114°

Therefore, the value of angle x in the triangle will be equal to 114°.

To know more about an exterior angle follow

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: Suppose that you plan to take a trip to your dream destination. You
would like to know the shortest distance between your starting point and your
destination. When calculating distances on a plane, you need only consider two
dimensions because you are on a flat surface. However, when finding distances
between two points on Earth, you must take into the account the curvature of a
sphere. In this portfolio, you will extend your knowledge of two-dimensional vectors
to three-dimensional vectors in order to find the shortest distance between two
points on the surface of Earth.

Answers

Answer:

idk

Step-by-step explanation:

i still don't know........

yes.

*tbh idk why i just put yes, and i also dont know what this is asking so...hehe

*PLEASE ANSWER* // *ASAP PLS*

Answers

Answer: I do not know

Step-by-step explanation:

whats 10 plus 10 ..........................

Answers

uhhhhh i'm pretty sure 10 plus 10 is 54? i don't know... :(

Answer:

20!!!!!!!!!

Step-by-step explanation:

5 · 6 – 33 ÷ 3 + (5 · 2) what is the awnser

Answers

Answer:

29

Step-by-step explanation:

The total cost, c, in dollars to create calendars for a fundraiser can be found using the function c=5.5u+25 where u is the number of calendars made. If there are at least 10 calendars made, what is a possible domain for this function?


A: 10≤x≤100


B: {-12, -11, 12, 20, 50}


C: {10, 11, 12, 13, 14}


D: 0≤x<50

Answers

Answer:

The correct option is;

{10, 11, 12, 13. or 14}

Step-by-step explanation:

The given function for the total cost, c, to create calendars is c = 5.5u + 25

The domain of a function are the values of the input variables of the function with which the output (the values) of the function are found

Therefore, the domain of the given function are the values of the variable, u, in the function

Where;

u = The number of calendars made

∴ When u ≥ 10, we have;

The possible domain for the function are u = 10, 11, 12, 13. or 14...

Therefore, the correct option is {10, 11, 12, 13. or 14}

bob did math and then we dated a girl named bri have a nice day and I love you too baby girl and you can date of us I love you too baby girl and have to be in bed by lisa have a nice night for the first one is that one of the constitution cob today and I have a lot to talk about the house and the kids will be in the car wit me know what I need to fix the constitution o and I have a nice night out of the house and the house is a trench and I will always be turtle neck of the following week is going back and forth to work until the next time to call you ☺️☺️☺️​

Answers

Answer:

WHAT THE HECK THANKS FOR THE POINTS THAT MAKES NO SENSE WHAT SO EVER :)

Step-by-step explanation:

Answer:

Dang That was a nice paragraph

Step-by-step explanation:

But better grammar choses xd :)

URGENT.

The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana splits and also made a total of $156. Which system of equations represents the situation?

Answers

Answer:

156=2s+3b    s-8=b

Step-by-step explanation:

s=sundaes

b=banana splits

2π+x=180 solve for x!

Answers

Answer:

x=28.65

Step-by-step explanation:

2π+x=180

π+x=90

x=90/π

x is about 28.65

Answer:

Exact Form:

[tex]x=180-2\pi[/tex]

OR

Decimal Form:

[tex]x=173.71681469...[/tex]

Step-by-step explanation:

Step-By-Step on how to solve it is in the attached picture.

Hope this helps! :)

x/4 + 5 = 8

PLEASE HELP ME






Answers

Answer:

hiii...hopefully this is correct x=12

function or not a function​

Answers

Answer:

Its a function

Step-by-step explanation:

Translate the parallelogram up 4 units and left 3 units.

Answers

Step-by-step explanation:

die parallelogram met 4 eenhede op en links van 3 eenhede.

A daredevil decides he wants to jump out of a plane and parachute to the U.S.S. Showboat. He knows he needs to leave the plane at an angle of 58˚ from vertical and he knows he wants to wait until the horizontal distance to the boat is 1000yd. How far away should the plane be from the boat to complete his aerial stunt successfully?

Answers

Answer:

1179 yards

Step-by-step explanation:

The question can be described by a right angled triangle.

The angle of depression of the boat from the plane = [tex]90^{o}[/tex] - 58˚

                                                                    = [tex]32^{o}[/tex]

Let the distance from the plane to the boat be represented by x.

Thus, applying the appropriate trigonometric function, we have;

Cos θ = [tex]\frac{Adjacent}{Hypotenuse}[/tex]

Cos [tex]32^{o}[/tex] = [tex]\frac{1000}{x}[/tex]

x = [tex]\frac{1000}{Cos 32^{o} }[/tex]

  = [tex]\frac{1000}{0.8481}[/tex]

  = 1179.11

x = 1179 yds

The plane should be 1179 yards away from the boat.

What is the Least Common Multiple (LCM) of 3 and 6?

Answers

Answer:

6

Step-by-step explanation:

Both numbers can evenly go into 6: 3 can go into 6 two times, and 6 can go into 6 one time.

I hope this helps!

The LCM of 3 and 6 is 6, which is the smallest positive integer that is a multiple of both numbers.

What is Least Common Multiple(LCM)?

The least common multiple is defined as the least positive integer that is dividable by both given numbers.

A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers.

We can use the prime factorization method to find the LCM. We can write each number as a product of its prime factors:

3 = 3

6 = 2 x 3

The LCM is the product of the highest powers of all the prime factors.

Here, the highest power of 2 is 2, and the highest power of 3 is 3. So, the LCM is:

LCM(3, 6) = 2 x 3 = 6

Thus, the LCM of 3 and 6 is 6, which is the smallest positive integer that is a multiple of both numbers.

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The graph shows the first quadrant portion of four exponential functions. Which equation could generate the BLUE curve? Assume a > 0 for all functions.
A) y = a-x
B) y = a-x + 1
C) y = a-x + 2
D) y = a-x + 3

Answers

Answer:a

Step-by-step explanation:

The solution is:

The initial value of the function is 2

The base of the function is 3

The function shows exponential growth

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

f(x) = 2(3^x)

Exponential functions are those with the following equation:

y = a*b^x

where a ≠ 0, b > 0 and b ≠ 1 and x is a real number.

a is the y-intercept and b is the base.

The initial value of the function is the same as the y-intercept

If a is positive, the function growth. If a is negative, the function decay

Hence, The initial value of the function is 2

The base of the function is 3

The function shows exponential growth

To learn more on function click:

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complete question:

Consider the exponential function f(x) = 2(3x) and its graph.

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases in quadrant 1. The equation of the function is y = f (x). The function crosses the y-axis at (0, 2).

The initial value of the function is.

The base of the function is.

The function shows exponential

Darius took a road trip to their grandmother's house. They drove at a constant speed of 60 miles per hour for 2 hours. They took a break and then finished the rest of their trip driving at a constant speed of 50 miles per hour for 2 hours. What was the total distance, in miles, of Darius' trip?

Answers

Answer: 220 miles

Step-by-step explanation:

Distance travelled is calculated as:

= Speed × Time

Based on the scenario on the question, the total distance, in miles, of Darius' trip will be:

= (60 × 2) + (50 × 2)

= 120 + 100

= 220 miles

Cows and horses cost $250 each and sheep and goats each cost $200 at the county fair. Chickens sell for $50. How much could McDonald make by selling all his animals except the dogs and cats?

Answers

Answer:

the total amount of animals in McDonald's farm is missing, so I looked for a similar question and found the attached image:

McDonald can earn:

15 cows x $250 = $3,750

2 horses x $250 = $500

20 sheep x $200 = $4,000

25 goats x $200 = $5,000

17 chickens x $50 = $850

total = $14,100

need help with these 3

Answers

Answer:

1.) x = 110

[tex]\frac{3}{22} =\frac{15}{x}[/tex]

So for 3 to become 15 it would have to be multiplied by 5 because 3 x 5 = 15. And if I multiply the numerator by anything I always have to do the same to the denominator. So I multiply 22 x 5 = x. x = 110

[tex]\frac{3 * 5}{22*5} =\frac{15}{110}[/tex]

2.) x = 72

[tex]\frac{x}{16} =\frac{9}{2}[/tex]

For 16 to become 2 it has to be divided by 8 because 16 ÷ 8 = 2. And I have to do the same to the numerator of course, so i have to find x ÷ 8 = 9. I know the answer by memory, but for some it's easier to rewrite this as 9 × 8 = x. x=72

[tex]\frac{72}{16} =\frac{9}{2}[/tex]

3.) c = 24

[tex]\frac{3}{5} =\frac{c}{40}[/tex]

For 5 to become 40 it must be multiplied by 8 because 5 × 8 = 40. I have to multiply 8 by the numerator as well and 3 × 8 = 24. c = 24

[tex]\frac{3*8}{5*8} =\frac{24}{40}[/tex]

Answer:

         _

1. x=7.3

2. x= 72

3. c= 24

Step-by-step explanation:

Hope This Helps!!!

If you want to leave an 18% tip for a waiter on a $54.35 meal, what would the total bill be?

$64.13

$9.78

$44.57

$8.15

Answers

Answer:

$64.13

Step-by-step explanation:

the tip would be added to the meal cost

Answer:

54.35+$9.78=64.13

Step-by-step explanation:

54.35*.18=9.78

Hope this helps :)

If f(x) = 2x - 2 and g(x) = x + 1, then f(x) = g(x) when

Answers

Answer:

When x = 3

Step-by-step explanation:

I'm sorry not to give explanation but I can't put my thoughts into words its weird but yeah

I’m pretty sure it’s 3. I’m no 100% but yeah

Answer quick please!!

Answers

Answer:

8

Step-by-step explanation:

For question 2, find the x- and y-intercept of the line.
5x + 4y = 80
O A. x-intercept is 4; y-intercept is 5.
O B. x-intercept is 20; y-intercept
16.
O C. x-intercept is 5; y-intercept is 4.
O D. x-intercept is 16; y-intercept is 20.

Answers

D. X-intercept is 16; y-intercept is 20.

1)

x 0 1 2 3 4
f(x) _ _ _ _ _

Answers

Answer:

Calculated and given below:

1) f(x) = -14, 1, 6, 1, -142) f(x) = -4, 5, 8, 5, -43) f(x) = 27, 33, 35, 33, 274) f(x) = -5 , -8, -9, -8, -5 5) f(x) = -7 , -10, -11, -10, -7 6) f(x) = -7 , -34 , -43 , -34 , -7 7) f(x) = 47 , 17 , 7 , 17 , 47 8) f(x) = 29 , 8 , 1 , 8 , 29 9) f(x) = -19 , -1 , 5 , -1 , -19 10) f(x) = 21 , 9 , 5 , 9 , 21

Please help
Person with the right answer I will mark Brainlyist

Answers

Answer:

The equation in the standard form is

[tex]y+2x=5[/tex]

Step-by-step explanation:

Given the points

(6, -7)(4, -3)

Finding the slope between (6, -7) and (4, -3)

[tex]\left(x_1,\:y_1\right)=\left(6,\:-7\right),\:\left(x_2,\:y_2\right)=\left(4,\:-3\right)[/tex]

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-3-\left(-7\right)}{4-6}[/tex]

[tex]m=-2[/tex]

As the point-slope form is defined as

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -2 and the point (6, -7)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-7\right)=-2\left(x-6\right)[/tex]

Writing the equation in the standard form form

As we know that the equation in the standard form is

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

where x and y are variables and A, B and C are constants

converting the equation in standard form

[tex]y-\left(-7\right)=-2\left(x-6\right)[/tex]

[tex]y+7=-2\left(x-6\right)[/tex]

subtract 7 from both sides

[tex]y+7-7=-2\left(x-6\right)-7[/tex]

[tex]y=-2x+5[/tex]

[tex]y+2x=5[/tex]

Therefore, the equation in the standard form is

[tex]y+2x=5[/tex]

pls help i need help quickly

Answers

Answer: 5/6?

Step-by-step explanation:

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