Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?

Answers

Answer 1

Answer:

39 pounds of type A coffee were used.

Step-by-step explanation:

Let,

x be the pounds of type A coffee used

y be the pounds of type B coffee used

According to given statement;

4.15x+5.25y=980.85      Eqn 1

y = 4x    Eqn 2

Putting y=4x in Eqn 1

4.15x+5.25(4x) = 980.85

4.15x+ 21x = 980.85

25.15x = 980.85

Dividing both sides by 25.15

[tex]\frac{25.15x}{25.15}=\frac{980.85}{25.15}\\x=39[/tex]

Hence,

39 pounds of type A coffee were used.


Related Questions

Please help...........

Answers

Answer:

x = 59.4°

Step-by-step explanation:

Reference angle = x

Side opposite to x° = 22

Adjacent side = 13

To find x, apply trigonometric ratio formula. Thus:

[tex] tan(x) = \frac{22}{13} [/tex]

[tex] x = tan^{-1}(\frac{22}{13}) [/tex]

[tex] x = 59.4 [/tex] (nearest tenth of degree)

Your friend has created a dice game where the probability of winning is 0.45. If you win at least 60% in a series of n games you win the grand prize. You may choose to play a series of n = 10, 20, or 50 games. Which value of n should you choose to get the best chances of winning the grand prize?
A. n = 10
B. n = 20
C. n = 50
D. n = 10 or 20; they have the same probability
E. All three have the same probability.

Answers

Answer:

D. n = 10 or 20 they have the same probability

⚠️ANSWER NEEDED FAST⚠️

Joey bought a dozen oranges for $3.50 and several bananas for $0.25 each at the
grocery store. Joey spent a total of $5.75 on the fruit. Which number line best
represents the number of bananas Joey purchased?

Answers

Answer:

Step-by-step explanation:

9

Answer:

(9)

Step-by-step explanation:

(D)

Each number line is shaded to represent a percent drag a percent to each number line that represents a percent.

Answers

Answer:

Step-by-step explanation:

The first one is 20%

The second one is 95%

(Can you take another picture so I can see the rest)

A dealership pays $580 for each electronic unit and sells it for $940. What is the percent markup in the price of each unit

Answers

Answer:

62.06%

Step-by-step explanation:

Given that,

CP of an electronic unit = $580

SP of an electronic unit = $940

We need to find the percent markup in the price of each unit. It can be done as follows :

[tex]\%=\dfrac{940-580}{580}\times 100\\\\=62.06\%[/tex]

So, the required answer is 62.06%.

Explain why the expressions 8x(6-4) and 8x6-4 do not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)

Answers

Answer:

Because 8x6 gives you the same figure.

Step-by-step explanation:

This expression 8x(6-4) has bracket. When you solve it you need to do in bracket first then do outside. 8x(6-4)=8x2=16
This expression 8x6-4 doesn’t has bracket so you need to do x and / first then you do + and -
8x6-4=48-4=44

Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer

Answers

Answer:f

( x ) = x ,  g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 ,  g ( x ) = 2 x − 2 f ( x ) = x 2 ,  g ( x ) = 7 x − 1

in short ways the answer is  7 x − 1

Hence , the sum is [tex]11x^2-8x-14[/tex].

WHAT IS A POLYNOMIAL

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

How to Solve?

Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].

So, we can write it as :

[tex]2x^2 -8x-6+9x^2-8[/tex]

Writing like terms together:

[tex]= 2x^2+9x^2-8x-6-8[/tex]

[tex]=11x^2-8x-14[/tex]

Hence , the answer is [tex]11x^2-8x-14[/tex].

Learn more about Algebraic expressions :

https://brainly.com/question/395066

#SPJ2

What’s the answer to this problem

Answers

Answer:

1.2075

Step-by-step explanation:

Multiply the speed of the turtle ( 0.69 miles per hour) by the number of hours it takes ( 1.75 hours)

Answer: 1.2075

Step-by-step explanation:

multiply 0.69*1.75 and u will get 1.2075

What is the solution to this equation?
x/2 - 7 = 15
a. 4
b.11
c.16
d.44

Answers

X/2 - 7 = 15

X/2 = 22

x = 44

So option d
D is the answer to this problem

URGENT!!!! The area of a rectangular floor is 80 square feet. The length of the floor is 2 feet less than the width of the floor.
What is the width of the floor?

Drag the answers into the boxes to correctly complete the statements.


The equation Response area , where w is the width of the floor in feet, can be used to solve this problem. The width of the floor is Response area feet.

Answers

Answer:

Width of the floor = 10 feet

Step-by-step explanation:

Given that:

Area of rectangular floor = 80 square feet

Width of rectangular floor = w

Length of rectangular floor = w - 2

Now,

Area = Length * Width

80 = w(w-2)

[tex]80=w^2-2w\\w^2-2w-80=0\\[/tex]

Factorizing the equation,

[tex]w^2+8w-10w-80=0\\w(w+8)-10(w+10)=0\\(w+8)(w-10)=0[/tex]

Either,

w+8 = 0

w = -8

Or,

w-10 = 0

w=10

As width cannot be negative,

width = 10 feet

Hence,

Width of the floor = 10 feet

A store owner orders 25 calculators that cost ​$41 each. The store owner can sell each calculator for ​$50. The store owner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a ​$5 charge for each returned calculator​ (although the initial cost is​ refunded). What is the​ storeowner's profit?

Answers

Answer:

$183

Step-by-step explanation:

He buys 25 calculators for $41 each meaning he spends $1025 in total. He was able to sell 22 calculators for $50 which amounts to $1,100. He then returns and is refunded for the original price of the 3 calculators meaning he gets $123 dollars back but he also has to pay $5 for each calculator he returned which takes away $15 from his profit. $123-$15= $108. ($1,100+$108)-$1025=$183.

Will mark brainliest!!Solve for x and round to nearest tenth

Answers

Answer:

ok we know the box means 90 degrees and one corner is 63 degrees so in order to get 180 degrees we add 90+63 which is 153 then we take that away from 180 so the answer is 17

9x+ 5 = 14x — 4
I need help with this I have to solve for x

Answers

Answer:

here u go

Step-by-step explanation:

its 9/5 or 1.8. Also 1 to 4/5

9x + 5 = 14x - 4
9x + 5 + 4 = 14x - 4 + 4 (4’s cancel out)
9x + 9 = 14x
= 9x/9x + 9 = 14x/9x
= (9) / 14/9= (14/9x) / 14/9
= 5.79 = X.

Jessica locates her garden using a coordinate grid with yards as the units. The two points
(-5, -2) and (-8, -3) represents the two corners of the garden. Approximately how far
apart are the two corners?

Answers

Answer:

These two corners are [tex]\sqrt{13}[/tex] units apart.

Step-by-step explanation:

Distance between two points:

Suppose we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Approximately how far apart are the two corners?

We have to find the distance between the points (-5,-2) and (-8-3). So

[tex]D = \sqrt{(5-(-8))^2+(-2-(-3))^2} = \sqrt{13}[/tex]

These two corners are [tex]\sqrt{13}[/tex] units apart.

Need help asap! Question: How many 3/4's are in 2?
Use this statement to answer the following questions.

Answers

Answer:

two

Step-by-step explanation:

Answer:

Because we want to know how many three-fourths there are, we have to make groups of 3 fourths, or divide the number of fourths we have by 3. So there are (2\times 4)\div 3 = 8\div 3 = 2 \frac23 three-fourths in 2.

Step-by-step explanation:

Change 2x-y=-4 into slope-intercept form with steps

Answers

Answer:

y=2x - 4

Step-by-step explanation:

slope intercept is y = mx+b, where m is slope and b is y intercept.

subtract 2x from both sides of the equation

-y = 4 - 2x

multiply each term in -y = 4 - 2x by -1

(-y) . -1 = 4 . -1 + (-2x) . -1

y= 4. -1 + (-2x) . -1

simplify

y= -4 + 2x

Reorder

y= 2x - 4

what is 4 divided by 8464

Answers

0.00047258979206 .....

Answer:

4 divided by 8464 equals 0.00047258979

8464 divided by 4 equals 2,226

Step-by-step explanation:

                May I have brainiest I'm trying to level up!

                                  </3 PureBeauty

Pete has three dollars less than what Linda has. if together has 81 dollars how much does a person have? I NEED HELPP I CAN MAKE YOU THE BRAINLIEST

Answers

Answer:

39$ for Pete

42$ for Linda

Step-by-step explanation:

Brainliest pls :)

1) An i staircase has a 10 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 30.20 degrees and there are 12 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:

a) What is the landing space per step (in inches, rounded to the nearest inch)?

b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).

A and b are both questions regaurding the stairs. Answer both, and show your work to recieve brainliest.

Answers

Answer:

A)

Each landing is about 17 inches.

B)

The vertical rise from Floor 1 to Floor 2 is about 7 feet.

Step-by-step explanation:

Please refer to the attachment below. (I accidentally wrote 30.30 instead of 30.20. Please ignore that and sorry for any confusion.)

Part A)

So, we want to find the length of [tex]\ell[/tex].

Note that the angle of elevation, the vertical height, and [tex]\ell[/tex] form a right triangle.

Since the vertical height opposite to our angle is 10, and we want to find the adjacent height, we can use the tangent ratio:

[tex]\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

Therefore:

[tex]\displaystyle \tan(30.20)=\frac{10}{\ell}[/tex]

Solve for [tex]\ell[/tex]. Cross-multiply:

[tex]\displaystyle \ell\tan(30.20)=10[/tex]

So:

[tex]\displaystyle \ell=\frac{10}{\tan(30.20)}=17.1817...\approx17\text{ inches}[/tex]

The landing space per step is about 17 inches.

Part B)

We know that there are a total of 12 feet of horizontal space total for each landing.

12 feet is equivalent to (12)(12) = 144 inches.

Since each landing is 17.1817... inches, this means that we have 144/(17.1817...) = 8.38... or about 8 steps.

Since the vertical rise of each step is 10 inches, the vertical rise from the 1st Floor to the second will be 8(10) or 80 inches or 80/12 = 6.666... or about 7 feet.

math Finding the root (30points!!!!!)

Answers

Answer:

p = [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

let the root be α then the other root is 3α

The sum of the roots of a quadratic equation is

α + 3α = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{7}[/tex] = [tex]\frac{8}{7}[/tex]

Thus 4α = [tex]\frac{8}{7}[/tex] ( divide both sides by 4 )

α = [tex]\frac{2}{7}[/tex]

The product of the roots of a quadratic equation are

α × 3α = [tex]\frac{c}{a}[/tex] = [tex]\frac{p}{7}[/tex], that is

3α² = [tex]\frac{p}{7}[/tex] ← substitute value of α

3 × ([tex]\frac{2}{7}[/tex] )² = [tex]\frac{p}{7}[/tex]

3 × [tex]\frac{4}{49}[/tex] = [tex]\frac{p}{7}[/tex]

[tex]\frac{12}{49}[/tex] = [tex]\frac{p}{7}[/tex] ( cross- multiply )

49p = 84 ( divide both sides by 49 )

p = [tex]\frac{84}{49}[/tex] = [tex]\frac{12}{7}[/tex]

Given r(x) = x2 - 4x2 + 4x – 6, find the value
of r(2). What does your answer tell you about x-2 as a
factor of r(x)? Explain.

Answers

Answer:

We are given r(x)Additionally we are given that x=2 Hence: 4-16+8-6=10

Jane has an aquarium made up of two rectangular prism-shaped containers, as shown in the figure below. What is the volume of water in the aquarium?

Answers

Answer:

a

Step-by-step explanation:

Answer:

fhbfxchb xf ncvjn cvncb

Step-by-step explanation:

A triangle has two 13-cm sides and a 10-cm side. The largest circle that fits inside this triangle meets each side at a point of tangency. These points of tangency divide the sides of the triangle into segments of what lengths? What is the radius of the circle?

Answers

Answer:

[tex]r=3.33 cm[/tex]

[tex]d_{a}=5 cm[/tex]

Step-by-step explanation:

Let's use the radius equation to a circle inscribed into a triangle.

[tex]r=\sqrt{\frac{(s-a)(s-b)(s-c)}{s}}[/tex]

[tex]s=\frac{a+b+c}{2}[/tex]

In our case a = 13 mc, b = 13 cm  and c = 10 cm

Then, s will be s = 18 cm

Then the radius will be:

[tex]r=\sqrt{\frac{(18-13)(18-13)(18-10)}{18}}=3.33 cm[/tex]

Now, the distance from the vertex to the nearest touchpont is given by:

[tex]d_{a}=\frac{1}{2}(a+c-b)=5[/tex]

This value is the same for each side.

I hope it helps you!

I will give brainiest to whoever answers correctly !!

Answers

Answer:

34.5%

I'm not sure.

but I'm quite sure.

Answer:

The percent markup is 300%

Step-by-step explanation:

15.75 = 1575%

18.75 = 1875%

1875% - 1575% = 300%

Find the missing side or angle.
Round to the nearest tenth.
A=18°
B= 28°
b=100
a=[ ?]

Answers

360-142 and you get ur answer unless it’s not a 360 degree

Answer:

a = c2 +b2

Step-by-step explanation:

18=10000 + 784

10784 ÷ 18

599.111111 BUT ROUNDED WOULD BE 600.00

matt would like to share 5/8 of a pound with 4 with his 3 friends how many pound of chocolate will each of the 4 people receive

Answers

0.05102040816 pounds

9n - 7 = 5n - 19
What is n and why did you do that

Answers

Answer:

n=-3

Step-by-step explanation:

1) subtract 5n from both sides

2) Add 7 to both sides

3) divide both side by 4

Hope this helps

Tyler filled up his hot tub, which is a right rectangular prism, with 480 cubic feet of water. The hot tub is 12 feet long and 10 feet wide. What is the depth of the water in the hot tub?

Answers

Answer:

volume for a rectangular prism is length*width*height

480 = l * w * h (the volume equal to the equation. plug in values you know)

480 = 12 * 10 * h (multiply the right side)

480 = 120h (divide both sides by 120 to isolate the height)

height = 4 feet

height of the bathtub and depth are the same thing, so your answer is 4 feet

Step-by-step explanation:

I hope this helps :))

What is the result when 9r^3 + 27x^2 + 11x +1 is divided by 3x + 1?​

Answers

Answer:

the answer is 3x^2 + 8x + 1

Step-by-step explanation:

(I used x as the variable due to the invalid difference of variables in your question )

To find the correct answer, I had to use polynomial division.

(9 x 3 + 27 x 2 + 11 x + 1) / (3 x + 1)

= ( 3 x + 1 ) ( 3 x 2 + 8 x + 1 ) / (3 x + 1)

= 3 x 2 + 8 x + 1

Find the area of the shaded region. All angles are right angles.​

Answers

Add all the sides up, the 5m side should be the same length as the 18m side. Good luck!
i think it’s 310 wrcetvtev yhryfrwcw
Other Questions
{[(9 + 5) 7] - 2} x [4 x (25 20)] 3(2+5)5(3)+8=Evaluate where should you focus when making a pitch or chip shot Aprendizaje esperano Part AWhat is a theme of "Harlem [2]"?It is better to be practical than to be a dreamer.Any dream can come true with determination.Putting aside a dream leads to hopelessness.Everyone has equal opportunities in life.Question 2Part BHow does Langston Hughes develop the theme identified in Part A?He explains that some dreams are worth pursuing.He hints that people should work hard toward achieving their dreams.He suggests that people put dreams aside and focus on opportunities.He suggests that some dreams can wear heavily on a person. Use the table to write a proportion. Please help. Ty! yoko is saving money to buy a bike that costs 125$.She has 60 and will add an additional 5 each week.In how many weeks will she have enough to buy the bikw Pls answer this soon! Thnx!!! 1. A kangaroo hops 84 m to the east in 7 seconds.o What is the kangaroo's speed? 12 m/so What is the kangaroo's velocity? the man is being warmed by?radiationconventionconduction Something that causes a response in an organism is called a(n) _____. Two snakes race the speed of the first is 24 1/2 inches per minute and the speed of the other is 26 inches per minute how far apart with they be in 3 min? 10 min? Find the value of X ASAP I AM GOING TO ASK THIS ONE MORE TIME CAN SOMEONE PLEASE HELP ME WITH THESE 4 QUESTION ITS REALLY IMPORTANT I WILL GIVE YOU BRAINLIEST PLEASE DONT PLAY AROUND YOU DONT UNDERSTAND HOW IMPORTANT THIS IS please help me............ Based on the underlined sentences on pages 2-3, which of the following is MOST LIKELY a difference between Internet search results and Internet advertising? In what ways did Germany persecute Jews in the 1930s? please help ill mark brainiest istgg Just do the question and i mark as brainliest thx Can someone pls help me? This is urgent :(