A university student combined a cola drink that costs $0.50 per ounce with a cherry drink that costs $1.70 per ounce. How many ounces of each were used to make a combined mixture of 10 ounces costing $1.34 per ounce? If u was the amount of cherry drink, an equation that models the problem is: 1.70(O) + 0.50(O) = 1.34([ The amount of cherry drink was ounces. The amount of cola drink was ounces.

Answers

Answer 1

9514 1404 393

Answer:

cherry: 7 ozcola: 3 oz

Step-by-step explanation:

Let u represent the amount (ounces) of cherry drink. Then the amount of cola is (10-u). The total cost of the cherry cola drink is ...

  0.50(10 -u) +1.70u = 1.34(10)

  1.20u +5 = 13.40 . . . . . . simplify

  1.20u = 8.40 . . . . . . . . subtract 5

  u = 7 . . . . . . . . . . . . . divide by 1.20

The amount of cherry drink was 7 ounces.

The amount of cola drink was 3 ounces.


Related Questions

Plz help answer algebra2

Answers

Answer:

x=55°, y=35°, z=145°

Step-by-step explanation:

y is vertically opposite to 35, meaning they share the same value.

We can see that x and y add to 90, as together they take up the space as the angle with the box (a symbol for 90°). This means x+y=90, and x=90-y, which can be written as x=90-35 when subbing y with its known value. This solves to x=55.

z and 35 together form a straight line, meaning z+35=180, or z=180-35. This can be solved to z=145.

**This content involves working out values of angles, which you may wish to revise. I'm always happy to help!

Answer:

(x,y,z) = (55,35,145)

Step-by-step explanation:

the angle of a straight line is 180 degrees. We can see that we have a right angle (90 degrees) and 35 degrees. So x must be 180-35-90=55

since the line on the the left if perpandicular with the line going up x and y must add to form a right angle (90 degrees). therefore y = 90-x=35.

finally, z is in a similar situation to x where the angle of the line is 180. We know y so z = 180-y =145

Determine the intercepts of the line
X_______
Y_______

Answers

Answer:

-250, and 100

Step-by-step explanation:

The intercepts of the line are the points where line intersects the x-axis and y-axis .

the x intercept is at point (-250, 0)

the y intercept is at point (0, 100)

If f(x)=(x-1)^1/3 then what is f^-1(x)

Answers

Answer:

The answer is f−1(x)=1x13

Step-by-step explanation: hi

Which expression is equivalent to 4g+2g+10

Answers

Answer:

Its either a or c.

Hope it helped!

Answer:

c) is the correct answer

[tex]c)6g + 10[/tex]

A semi-elliptical arch rises 20 feet above a channel connecting two lakes. The width of the ellipse measures 50 feet. Write an equation of the ellipse. Let the center of the channel be located at the origin.

Answers

9514 1404 393

Answer:

  x^2/625 +y^2/400 = 1

Step-by-step explanation:

The semi-major axis is a=25, the semi-minor axis is b=20. The equation is ...

  x^2/a^2 +y^2/b^2 = 1

  x^2/625 +y^2/400 = 1

What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3​

Answers

Answer:

-x^2+2x-3

Step-by-step explanation:

(x^2 - 3x) + (-2x^2 + 5x - 3)

Combine like terms

-x^2+2x-3

Answer:

The fourth answer

Step-by-step explanation:

What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3

The fourth answer

ECONOMICS PLS HELP !!!!!!!!!!!!!!!!!!!!! 100 POINTS
Which factors of production had to be utilized to bring you an online education?

it is a verbal question from my teacher I have to tell her the answer tomorrow and I don't know what to tell her lol

Answers

Mark Brainliest please

Answer

Factors of production are the resources people use to produce goods and services; they are the building blocks of the economy. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship.

In my opinion, labor, capital & entrepreneurship are factors of production

What is the slope of the line graphed below?

Answers

Answer:

2/3

Step-by-step explanation:

rise over run

which table shows a non linear relationships between x and y

Answers

Answer:

both of them thats the answer

Step-by-step explanation:

Evaluate the inverse trigonometric function Sin^-1(-1). Give answers in both radians and degrees.


A) Sin^-1(-1) = -pi or -180°


B) Sin^-1(-1) = 3pi/2 or 270°


C) Sin^-1(-1) = pi or 180°


D) Sin^-1(-1) = -pi/2 or -90°

Answers

Answer:

B) Sin^-1(-1) = 3pi/2 or 270°

D) Sin^-1(-1) = -pi/2 or -90°

Step-by-step explanation:

Sine function:

The sine function is -1 at 270º(-90º), which is 3pi/2 = -pi/2.

Inverse sine:

The input of the inverse sine function is a value, and the output are the angles which have the sine equal to the input.

Sin^-1(-1)

Angles for which the sine are -1, that is 3pi/2 or 270° and -pi/2 or -90°. Thus, options B and D are correct.

I'm so confused, please help!

A family wants to purchase a house that costs ​$120,000. They plan to take out a ​$100,000 mortgage on the house and put ​$20,000 as a down payment. The bank informs them that with a​ 15-year mortgage their monthly payment would be ​$745.86 and with a​ 30-year mortgage their monthly payment would be ​$546.01. Determine the amount they would save on the cost of the house if they selected the​ 15-year mortgage rather than the​ 30-year mortgage.

Answers

9514 1404 393

Answer:

  $62,308.80

Step-by-step explanation:

The total amount paid on the 15-year mortgage is ...

  ($745.86/mo)×(12 mo/yr)×(15 yr) = $132,254.80

The total amount paid on the 30-year mortgage is ...

  (546.01/mo)×(12 mo/yr)×(30 yr) = $196,563.60

__

The amount saved by selecting the 15-year mortgage is the difference of these amounts:

  $196,563.60 -132,254.80 = $62,308.80

_____

Additional comment

This problem statement has several numbers in it that are irrelevant to the question being asked. This is why you need to read and understand the given information, and also understand the question being asked.

Here, the total cost of the house will include the mortgage cost and the down payment. The down payment is the same in either case, so does not factor in when we subtract one total cost from the other. Any difference in cost is due only to the difference in loan cost.

Construct an equation that has y = 8 as its solution. Use y on both sides of the equation.

Answers

Answer:

3y + 4 = 20 + y

Step-by-step explanation:

The equation that has y = 8 as its solution will be 3y + 4 = 20 + y.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Given that Construct an equation that has y = 8 as its solution. The equation of the line will be:-

3y + 4 = 20 + y.

When we solve the equation we will get the value of y equal to 8.

3y + 4 = 20 + y.

3y - y = 20 - 4

2y = 16

y = 16 / 2

y = 8

Therefore, the equation that has y = 8 as its solution will be 3y + 4 = 20 + y.

To know more about an equation of the line follow

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HELP PLSSSSS!!!!! I WILL Give Brainlyist

Answers

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Answer:

[tex] \frac{5}{6} [/tex]

Step-by-step explanation:

[tex] \frac{1}{6} + \frac{2}{3} [/tex][tex] \frac{1}{6} + \frac{2}{3} \times \frac{2}{2} [/tex][tex] \frac{1}{6} + \frac{2 \times 2}{3 \times 2} [/tex][tex] \frac{1}{6} + \frac{2 \times 2}{6} [/tex][tex] \frac{1 }{6} + \frac{4}{6} [/tex][tex] \frac{1 + 4}{6} [/tex][tex] \frac{5}{6} [/tex]Hope it is helpful...

So for this answer I got 5 hrs. > 38.13 - 12 = 26.13/4.75 = 5 (rounded). However, my answer is wrong. Not sure how else I can solve this. Please help!

Answers

Answer:

4.75h + 12 = 38.13

h = 5.5

key takeaways : "per hour" suggests a variable rate like a slope.

                           "costs $12 for the helmet" is a constant. It will always cost $12

think y = mx + b

Creed wanted to know if there was a correlation between number of years of education and income. He collected data and created the scatterplot shown:

Determine the closest correlation coefficient (r value) for this data.

Answers

Answer:

0.8

Step-by-step explanation:

i did math <:

Suppose a triangle has sides 1,
and 1. Which of the following must be true?
A. The triangle in question is a right triangle.
B. The triangle in question may or may not be a right triangle.
C. The triangle in question S not a right triangle.
SUBMIT

Answers

9514 1404 393

Answer:

  B. The triangle in question may or may not be a right triangle

Step-by-step explanation:

The length of the third side of the triangle may have any measure between 0 and 2. The triangle will only be a right triangle if the third side has length √2.

The triangle may or may not be a right triangle.

What is 2/7 divided by 5/4? (No links)

Answers

Answer: 5/14

Step-by-step explanation:

8/35 using the keep change flip method

Simplify equations HELP NOW!!

Answers

Answer:

[tex]\frac{1}{5} (2x+10)=4[/tex] [tex]x=5[/tex]

[tex]\frac{1}{3} (3x+9)=9[/tex] [tex]x=6[/tex]

Step-by-step explanation:

[tex]\frac{1}{5} (2x+10)=4[/tex]

Multiply both sides of the equation by 5.

5 · [tex]\frac{1}{5}[/tex] · [tex](2x+10)=[/tex] 5 · 4

Simplify both sides of the equation.

[tex]2x+10=20[/tex]

Subtract 10 from both sides of the equation.

[tex]2x=10[/tex]

Divide each term by 2 and simplify.

[tex]x=5[/tex]

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

[tex]\frac{1}{3} (3x+9)=9[/tex]

Substitute x for 6

[tex]\frac{1}{3} (3(6)+9)=9[/tex]

Multiply 3 · 6

[tex]\frac{1}{3} ((18)+9)=9[/tex]

Add 18 + 9

[tex]\frac{1}{3} (27)=9[/tex]

Divide [tex]\frac{1}{3}[/tex] ÷ 27

9 = 9

The following table shows a proportional relationship between j and m.

Answers

M = ¾J

If you look at the numbers M is always 3/4 of J so the equation is M = ¾J

Answer:

[tex]j = \frac{3}{4} m[/tex]

Step-by-step explanation:

[tex]4j = 3m[/tex]

Divide both sides by 4 and you get the answer :)

Four times a number added to eight is equivalent to the opposite of four

Answers

Answer:

let the number be y

Opposite of 4 is -4

4y + 8 = -4

Group liked terms

4y = -4 - 8

4y = -12

y = -3

Step-by-step explanation:

let the number be y

Opposite of 4 is -4

4y + 8 = -4

Group liked terms

4y = -4 - 8

4y = -12

y = -3

Which of the following statements is not true regarding a 95% confidence interval for the mean of a population?
a. In 95% of all samples, the sample mean will fall within 2 standard errors of the true population mean.
b. If you add and subtract two standard errors to and from the sample mean, in 95% of all cases, you will have captured the true population mean.
c. In 95% of all samples, the true population mean will be within 2 standard errors of the sample mean.
d. 95% of the population values will lie within 2 standard errors of the sample mean.

Answers

Answer:

Hello There!!

Step-by-step explanation:

I believe the answer is b. If you add and subtract two standard errors to and from the sample mean, in 95% of all cases, you will have captured the true population mean.

hope this helps,have a great day!!

~Pinky~

The 95% confidence interval does not mean that b. If you add and subtract two standard errors to ... 95% of all cases,... captured the true population mean.

What is the 95% confidence interval for a population mean?

It means that for any given number of samples, 95% of them will fall within 2 standard errors of the true mean of the population the sample is derived from.

Applying this confidence interval to the sample mean will not help you capture the true population mean which is why option B is incorrect as regards the 95% confidence interval for the population mean.

In conclusion, option B is correct.

Find out more on the 95% confidence interval at https://brainly.com/question/3191358.

BRAINIST AND 10 POINTS

Answers

Answer:

I'm not positive but here are my calculations:

A cube is 1 unit per cube. 3+2+1=6 if you do 6x6 you come out with 36.

Hope this helped.

Just saying it is 36 but this is 5 points

Jasmine rides her bicycle for 8 hours and is 42 miles from her house. After riding for 11 hours, she is 57 miles away.

Answers

Answer:

This isn't a question

Step-by-step explanation:

Nine times a number added to a subtracted from triple the sum of seven times the number 9​

Answers

Answer:

16x + 19

Step-by-step explanation:

Let's say number = x

two times a number = 2x or 2*x

added to -3 = 2x - 3

subtracted from twice the sum of nine times the number and 8

2(9x + 8) - (2x - 3)

Combining like terms

18x + 16 - 2x + 3

16x + 19

A pendulum on a grandfather clock swings side to side once every second. If the length of the pendulum is 8ft and the angle is 20 degrees, how far does it travel in 1 second?

Answers

Step-by-step explanation:

Yo all ✌️✌️

Jóin me

g-meet

besmfyotjp

Answer:

73.66 miles per hour

or if 40 degree whole swing of pendulum then ;

147.33 miles per hour.

Divide by 3600 for p/second

Step-by-step explanation:

sin x = opp /hyp  = 8 x sin (20) = 1.113384808 = 1.11ft

1.1ft p/s

5290 feet in every mile

5290/1.113384808 = 4751.27733 feet

3500 seconds in an hour

3500/4751.27733 x 100 = 73.6644013 m/ph

Scenario 2

or 2.2 feet per second depending on whether the angle from central each side is 20 degrees = 1.1 x 2 = 2.2 feet.

5290/2.22676962 =2375.63866

3500 seconds in an hour

3500/2375.63866 x 100 =  147.328803 m/ph

There are 15 marbles in a bag. Two marbles are white, five are blue, and eight are red. You pick two marbles out of the bag, without putting the first one back. Find the probability of two blues in a row. (Please and thank you!)

Answers

Answer: 2/21

Step-by-step explanation:

Number of white marbles = 2

Number of blue marbles = 5

Number of red marbles = 8

Total number of marbles = 15

The probability of picking the first blue marble will be 5/15 = 1/3

When the first marble is picked, there'll be 4 blue marbles and 14 total marbles left, then the probability of picking another blue marble will be 4/14 = 2/7.

Therefore, the probability of two blues in a row will be:

= 1/3 × 2/7

= 2/21

Help me pleaseeeeeeeeeee nowwwww

Answers

The correct answer is B

Answer:

the correct answer is letter B

Of their first 18 games of the season, the
Chicago Cubs lost 4 games and won the
others. What percent of the games have
they won?

Answers

The percentage of the games the club has won is P = 77.78 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the total number of games = 18

The number of games they lost = 4

So , the number of games they won = 14 games

Now , the percentage of games they won = ( 14 / 18 ) x 100

On simplifying the equation , we get

A = 0.7778 x 100

A = 77.78 %

Hence , the percentage is 77.78 %

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if you help me I will love you forever

Answers

Answer:

I think the answer would be 22.15 but I'm not really sure.

Answer:

22.15

Step-by-step explanation:

So, lets go over a few things:

The y coordinates is the Foot length.

The x coordinate is the Arm span.

They gave us a yellow stone in the graph, this shows what the feet length is when the arm length is at a specific value.

So we need to find the foot length when the arm length is at 160.

Once you have pinpointed 160 on the graph, go strait up until you get to the yellow line.

WHen you hit the yellow line, look at the y axis. It should seem to be in between 21 and 23.The only answer in between 21 and 23 is 22.15

So this is the answer!

Hope this helps! :D

Find the length of x, round too the nearest tenth

Answers

Answer:

Step-by-step explanation:

take 34 degree as reference angle

using tan rule

tan 34=opposite/adjacent

0.67=x/16

0.67*16=x

10.72=x

10.7=x (after converting it to the nearest tenth)

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