Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $5.20 per pound, and type B coffee costs $4.05 per
pound. This month, Yolanda made 130 pounds of the blend, for a total cost of $586.30. How many pounds of type B coffee did she use?

Answers

Answer 1

Answer:

78 pounds

Step-by-step explanation:

Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:

a + b = 130

We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:

5.20a + 4.05b = 586.30

We can now solve the system of equations:

a + b = 130

5.20a + 4.05b = 586.30

Manipulate the first equation by subtracting b from both sides:

a + b = 130

a = 130 - b

Substitute 130 - b for a in the second equation:

5.20a + 4.05b = 586.30

5.20 * (130 - b) + 4.05b = 586.30

676 - 5.20b + 4.05b = 586.30

Move the terms with b to one side:

1.15b = 89.70

b = 78

Thus, Yolanda used 78 pounds of Type B coffee.

~ an aesthetics lover


Related Questions

Below are the distances that each of Davi the Dragon Keeper's four dragons can blow fire (in meters). 0.9, 0.5, 0.3, 1.1. Find the mean absolute deviation (MAD) of the data set.

Answers

Answer:

Step-by-step explanation:

MAD is simply the average distance that all of the numbers in your data set are from the mean. Your first step is to put your data in order, then determine the mean. Let’s look at this data set:

          0.3, 0.5, 0.9, 1.1

The mean of this data set is 0.7Starting with the lower extreme, and checking every number in your data set, determine how far each number is from the mean. First, put the numbers in numerical order, from least to greatest. Determine the distance each number is from 0.7. 0.3=0.40.5=0.20.9=0.21.1=0.4Add up all of the distances. Total distance from the mean (12) ÷ 4 numbers in our data set = a mean absolute deviation of 3.

I added a PowerPoint that I made so that if you didn't understand it you could read off of it.

Answer:

[tex]0.3[/tex]                                                            - written in [tex]2/14/2021[/tex]

Step-by-step explanation:

The answer is [tex]0.3[/tex] because, [tex]\frac{0.9+0.5+0.3+1.1}{4} =\frac{2.8}{4} =0.7[/tex], so [tex]0.7[/tex] is the mean. After having found the mean, we have to subtract [tex]0.7[/tex] from the numbers, or the numbers from [tex]0.7[/tex]:

Data Point    |   Distance from the mean

[tex]0.9[/tex]                  |    [tex]0.9-0.7=0.2[/tex]

[tex]0.5[/tex]                  |    [tex]0.7-0.5=0.2[/tex]

[tex]0.3[/tex]                  |    [tex]0.7-0.3=0.4[/tex]

[tex]1.1[/tex]                  |     [tex]1.1-0.7=0.4[/tex]

After finding out the Distance from the mean we'll use their sums and add them all up: [tex]0.2+0.2+0.4+0.4[/tex], then divide them by [tex]4[/tex] because there are [tex]4[/tex] numbers combined together: [tex]\frac{0.2+0.2+0.4+0.4}{4}=\frac{1.2}{4}=0.3[/tex].

So that's why the answer is [tex]0.3[/tex] (Happy Valentines Day!)

Which number is an irrational numbe?

Answers

Answer:

Option D

Step-by-step explanation:

=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written in the form of [tex]\frac{p}{q}[/tex] which is one of the most important characteristics of rational number.

=> The simplified form of [tex]\sqrt[3]{16}[/tex] is [tex]16 ^{1/3[/tex].

Answer:

[tex]\boxed{\sqrt[3]{16}}[/tex]

Step-by-step explanation:

Irrational numbers cannot be expressed as a fraction in the form [tex]\frac{p}{q}[/tex], where [tex]p[/tex] and [tex]q[/tex] are whole integers.

[tex]\sqrt{100} =10[/tex]

[tex]\frac{1}{8} = \frac{1}{8}[/tex]

[tex]-2.2675=\frac{-907}{400}[/tex]

[tex]\sqrt[3]{16} = 2.51984209979...[/tex]

pre-algebra !!!. A class contains 3 female and 9 male students. Find the probability that a student chosen at random is a male, and then a second student chosen at random from the remaining students is also male. 9/16 3/4 1/2 6/11 None of the above

Answers

Answer:

D

Step-by-step explanation:

The first student is from a class of 12.

The first student = 9/12 for the fist male.

The second male is 8 out of 11.

The probability of both being males is

9/12 * 8/11 = 3/4 * 8/11 = 6/11

The answer is 6/11 aka D

HELPPP HURRYYYYYY Each group of students receives a bag that has 8 red cubes, 2 green cubes, and 10 blue cubes. If each group makes 100 pulls and replaces the cube after each pull, how many times would you expect them to draw a green cube?

Answers

Answer:

10

Step-by-step explanation:

There are 20 cubes total.

2 of the twenty are green.

2/20=10%

10% of 100 is 10

Answer:

Step-by-step explanation:

So, In all there are 20 cubes, And If they are making 100 pulls then it could be put into a percent. So 10 would be 50%, 2 would be 5%, and 8 would be 45%, so it would be pulled 5 times. Hope This Helps Dreamer!

Find the exact value of the following. The distance traveled by a car going 65 miles per hour for 3.5 hours is ____ miles.

Answers

Answer:

227.5

Step-by-step explanation:

D=ST so X= 65 x 3.5 = 227.5 miles

D=Distance = x

S=Speed = 65

T=Time = 3.5

The answer is 227.5 because you multiply how fast by how long and you get the total 65x3.5=227.5 hope this helped

Questions are attached

Answers

Answer:

V = 32 in^3

Step-by-step explanation:

The area of the triangle is (1/2)(base)(height), which here comes to:

                                                (1/2)(4 in)(8 in) = 16 in^2.

The volume is (16 in^2)(height) =  (16 in^2)(2 in) = 32 in^3

a hummingbird flies forward 149 meters backward 57 meters and forward 23 meters write an equation that can be used to find how far forward the hummingbird flew.



Please help due today

Answers

Answer:

X=149-57+23

Step-by-step explanation:

X=149-57+23

Answer:

distance = 149 -57 +23

(-) is backward

(+) is forward

A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to sider?
y=-X+9
y=-x+ 5
y=x-3
y= X+3

Answers

Let’s see if I can help you :)!

With two points you can define a line.

So, the line parallel to s is q, which has these two pointS: (3,6) and (6,3)

There are different ways to get the line. For instance, this one:

Y = a*x+b

a = slope = difference_y/difference_x = (3-6)/(6-3) = -1,

y = -x + b,

Now use any point, say (3,6) to get b:

6 = -3+b-> b - 9.

Line is y = -x + 9,

It checks out in the other point: (6,3) —> 3 = -6+9 = 3. Good.

Other method:

y-y2 = a*(x-x2), where (x2,y2) is one of the two points and a is the slope as defined before.

Really hope this helped you!

Answer:

The answer is B

Step-by-step explanation:

Which represents the polynomial written in standard form?

Answers

Answer:

Step-by-step explanation:

b

Answer:

I think it's 4x4 - 7xy3- 3x3v/2 +8x2y2

Step-by-step explanation:

36. The top of a gazebo in a park is in the shape of a
regular pentagonal pyramid. Each side of the
pentagon is 10 feet long. If the slant height of
the roof is about 6.9 feet, what is the lateral
roof area?
A 34.5 ft2
B 50 ft2
C 172.5 ft2
D 250 ft2

Answers

Answer:

C. 172.5 ft²

Step-by-step explanation:

area of triangular roof piece is 1/2(10)(6.9) = 34.5

there are 5 of them so 34.5 x 5 = 172.5 ft²

Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9?

Answers

Answer:

36/25

Step-by-step explanation:

((7*3*2)/7*5)^2 * ((7^0)/(5^-3))^3 * 5^-9

(42/35)^2 * (1/5^-9) * 5^-9

36/25 * 5^9 * 5^-9

36/25 * 5^(9-9)

36/25 * 1

Answer:

35/25

Step-by-step explanation:

i hope this helps

Find the value of y.

Answers

Answer:

y is 3.6

Step-by-step explanation:

The information given are

Parallel lines crossing two converging lines with proportion 3 and 5 on one and 6 and y on the other

To find y, we have that two or more parallel lines cut by two transversal proportionately cut the transversal lines;

Therefore we have from the measured segment of the two lines;

[tex]\dfrac{3}{5} = \dfrac{y}{6}[/tex]

Which gives;

3 × 6 = 5 × y

y = 3 × 6/5 = 18/5

y = 18/5 = [tex]3\frac{3}{5}[/tex] , which is equal to 3.6.

Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)

Answers

Answer:

y = |x - 1|

Step-by-step explanation:

This graph is the standard graph of y = |x|, shifted 1 unit right. To shift 1 unit right, we have to replace x by x - 1. This works because it replaces f(1) with f(0), f(2) with f(1), etc., shifting the entire graph right.

help plz i want help

Answers

Answer:

1/3

Step-by-step explanation:

There are 9 possible outcomes

We want the ones that have the same color which are GG , YY or BB

P ( same color) = number of same color outcomes / total outcomes

                          = 3/9

                          =1/3

Answer:

1/3

Step-by-step explanation:

3/9, simplify to 1/3

nth term of this sequence please 18, 16, 14, 12

Answers

Answer:

[tex]\boxed{\sf -2n+20}[/tex]

Step-by-step explanation:

Let’s find the common difference.

The common difference can be found by subtracting a term in the sequence with the previous term.

[tex]\sf d=16-18\\d=-2[/tex]

Apply formula for the [tex]\sf n^{th}[/tex] term of an arithmetic sequence.

[tex]\sf a_n=a_1+dn-d[/tex]

[tex]\sf a_1[/tex] is the first term of the sequence.

[tex]\sf d[/tex] is the common difference.

[tex]\sf a_n=18+-2n-(-2)[/tex]

[tex]\sf a_n=18+-2n+2[/tex]

[tex]\sf a_n=-2n+20[/tex]

The outside of this set of four cubic blocks with no space between blocks is painted. What is the number of painted square faces?

Answers

Answer:

18

Step-by-step explanation:

There would be four faces on the top, left, bottom, and right.  That equals 16.  (4x4)

There would also 1 on each end, so you have to add 2.  That equal 18.

This is assuming you paint the faces on the bottom.  If you didn’t, the answer would be 14.  (But it doesn’t say not to paint them.)

What can a firm do to increase productivity in the short run once its marginal product is zero?
Increase the quantity of the input.
Decrease the quantity of the input.
Lower the price of its product.
Raise the price of its product.
Nothing, as more workers decreases total product.

Answers

Answer:

  Decrease the quantity of the input

Step-by-step explanation:

The general assumption is that productivity is a curve that is concave downward, Hence marginal product is decreasing until it reaches zero. The way to increase it is to reduce the input quantity to a value below the point where the curve reaches zero marginal product.

Answer:

e) Nothing, as more workers decreases total product.

Step-by-step explanation:

I got it right on the test.

use De Morgan’s laws to write an equivalent statement.

It’s totally false to say that the student has special needs and doesn’t belong in this classroom.

Answers

Answer:

It's totally false to say that the student has special needs or it's totally false to say the student doesn't belong in the classroom.

Step-by-step explanation:

De Morgan's Laws

Not (A and B) is the same as Not A or Not B

Not (A or B) is the same as Not A and Not B

SO:

It's totally false to say that the student has special needs or it's totally false to say the student doesn't belong in the classroom.

Which graphs is represent functions?

Answers

Answer:

graph b and d

Step-by-step explanation:

because they pass the vertical line test.

Which of the following graphs represents the equation below? y= 0.666667x + 3

Answers

Answer:

the last graph

Step-by-step explanation:

the y intercept is clearly shown as three and then using rise over run you can see that the slope is 2/3 or 0.667

Pls Help!! Jazzmin has 2/5 of a pie. How many 1/10's of a whole pie are there in 2/5 of a whole pie?
Answer options: a.) 1/25 b.) 1/4 c.) 25 d.) 4
PLS write the correct answer

Answers

Answer:

d

Step-by-step explanation:

2/5÷ 1/10 = [tex]\frac{2}{5}*\frac{10}{1}[/tex]

               = 2 * 2

               = 4

Answer:

b

Step-by-step explanation:

LCD of (5, 10): 10

2/5=4/10(multiply top and bottom by 2)

(4/10)/(1/10)= 4

Therefore, 1/10 is 1/4th of 2/5

24 t 1,507 lb 12 oz + 7 t 938 lb 6 oz

Answers

Answer:

31t 2,446 lb 2oz

Step-by-step explanation:

24t+7t=31t

1,507+938=2,445 lb

12 oz+6 oz=18 oz = 1 lb + 2oz (16 oz in a pound)

31t+2,445 lb+1 lb + 2oz=

31t 2,446 lb 2oz

What is (12!) - (10!)?

Answers

Answer:

step 1

12! =479001600

step2

10!=3628800

step 3

479001600-3628800=

475372800

Which of the following is a true proportion of the figure based on the triangle proportionality theorem? Question 13 options: A) ab=ba B) cd=ab C) db=ac D) cb=ab

Answers

Answer:

i think A

plz correct me

Step-by-step explanation:

Select the best answer for the question.
2. Find the sum of the first 8 terms of a geometric series in which a1 = 3 and r= 2.​

Answers

Answer: 765

=============================================

Work Shown:

a = 3 is the first term

r = 2 is the common ratio

Sn = a*(1-r^n)/(1-r) ... sum of the first n terms

S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms

S8 = 3*(-255)/(-1)

S8 = 765

----------

We can generate the first 8 terms to get 3, 6, 12, 24, 48, 96, 192, 384. Each new term is found by multiplying the previous one by 2.

Then add them up to get 3+6+12+24+48+96+192+384 = 765. We get the same result.

Answer: Answer: 765

Work Shown:

a = 3 is the first term

r = 2 is the common ratio

Sn = a*(1-r^n)/(1-r) ... sum of the first n terms

S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms

S8 = 3*(-255)/(-1)

S8 = 765

Find the mean absolute deviation (MAD) of the data in the bar chart below.

Answers

Mean absolute deviation of the given data is 1.5

What is Mean absolute deviation?

The average absolute deviation of a data set is the average of the absolute deviations from a central point.

What is Mean?

The arithmetic mean, also known as arithmetic average, is a measure of central tendency of a finite set of numbers

From the given bar chart

Mean = Sum of the terms / Number of terms

Mean = [tex]\frac{4+5+6+1}{4}=4[/tex]

Mean absolute deviation = [tex]\frac{1}{n}[/tex]∑ | mean- x|

MAD = [tex]\frac{|4-4|+|4-5|+|4-6|+|4-1|}{4} =\frac{0+1+2+3}{4}=1.5[/tex]

Hence, Mean absolute deviation of the given data is 1.5

Learn more about Mean and Mean absolute deviation here

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Answer:

1.5

Step-by-step explanation:

I've already done the first part of the question but i have to write it so others can be able to answer my second. i'd be grateful if anyone could give a quick response! Given that €1 = £0.75 a. How much is €530 in £? b. What is the £ to € exchange rate? Hint: It can be helpful to think of it like this: if €1 = £0.75, then €100 = £75 Now work out what £1 is worth.

Answers

Answer:

£398

Step-by-step explanation:

€530 = £0.75

530 x 0.75 = £397.50

You round this of to the nearest whole number:

£398

Hurry !!!!!

The data Ilst shows the cost, In dollars, of different brands of sneakers at a shoe store.
44.99, 59.99, 32.30, 65.00, 52.59
What is the standard deviation, to the nearest tenth, of the data If the scores represent only a sample of data on sneaker
prices at the store?
ao

Answers

Answer:

12.895

Step-by-step explanation:

Standard deviation is a statistic that measures the dispersion of a sample. The sample standard deviation measures the spread of data distribution of the sample. It is usually used to estimate the population standard deviation.

Which statement is true regarding the diagram of circle P? The sum of y and z must be 2x. The sum of y and z must be One-halfx. The difference of z and y must be 2x. The difference of z and y must be One-halfx.

Answers

Answer:

The difference of z and y must be 2x.

The statement that will be correct is, the difference of z and y must be 2x, the correct option is C.

What is Angle of Intersecting Secants Theorem?

According to Angle of Intersecting Secants Theorem, If two chords extended as secants intersect outside a circle , then the measure of the angle formed by the secants is half the difference of the measures of the intercepted arcs .

The measure of the intercepted arc is z and y

and the measure of the angle formed is x

According to the theorem, the measure of x = ( z-y) /2

The missing image is attached with the answer.

To know more about Angle of Intersecting Secants Theorem

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Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?

Answers

Answer:

The length of AB is 6

Step-by-step explanation:

Graph the question out.

Count from A to B

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