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

Need help ASAP swill mark Brainly

Answers

Answer:

B

Step-by-step explanation:

Hope it helps!

Answer:

-1 and 1/7

Step-by-step explanation:

hope this helps! have a great day!

Write the ratio 3/9 4/9 in simplest form

Answers

Answer:

3/9 is 1/3 but 4/9 is already simplified :D

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
What is the sum of -2 and -7?
Board sum: 0
Reset

Answers

Answer:

-9

Step-by-step explanation:

The sum of -2 and -7 is given as follows;

-2 + (-7)

In mathematical operations, +  *  - is -.

So we have;

-2 - 7

This gives us: -9

Answer:

10

Step-by-step explanation:

im on enginuity leson multiplying with intager tiles qestion 4

Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have​

Answers

Answer:

Ivan has 42 blue beads.

Step-by-step explanation:

We need to find how many blue beads Ivan has.

Blue beads = 6 times as many as red beans

b = 6r

r + b = 49

r + (6r) = 49

7r = 49

Divide both sides by seven to isolate r

r = 7

b = 6(7)

b = 42

If 10 men can cut a piece of lawn in 4
days, how long will it take 8 men to
cut the same lawn?​

Answers

Answer:

About 3

Step-by-step explanation:

Step-by-step explanation:

10 men =4 days

8 men =x days

cross multiply

10×x=8×4=24

Which of the following graphs represents a function?

Answers

9514 1404 393

Answer:

  (a)  see below

Step-by-step explanation:

The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.

Why is it impossible for m

Answers

Answer:

? What M? What is impossible?

8 + 3 × (4 ÷ 2) − 7



Step 1: 8 + 3 × 2 − 7

Step 2: 11 × 2 − 7

Step 3: 22 − 7

Step 4: 15



In which step does a mistake first appear?

Answers

Step 2

Follow Bodmas (Brackets, other, divide, multiply, add, subtract)

8+3*(4/2)-7
8+3*2-7
8+6-7
14-7
7

(21.) A writer earns $3400 a month. Last month she spent $204 on food.
What percent of her income was spent on food?

Answers

6 percent was spent

Answer: 6%

Step-by-step explanation:

3400's x%=204

(3400)x/100=204

34x=204

34x/34=204/34

I used my calculator to divide

x=6

So  6%

answer quick will give 20 points

Answers

Answer:

I think c but I'm not sure

Answer:

C: (-3,6)

Step-by-step explanation:

add both equations

5x+2x+2y-2y=-15+(-6)

7x=-21

x=-3

input x=3 into any equation in system and solve for y

2(3)-2y=-6

-2y=-12

y=6

solution: (-3, 6)

Which brand would Cala need more of to fertilize her 450-foot row of vegetables

Answers

Answer:

What do,you mean

Step-by-step explanation:

Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.

Answers

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

The cross section is a circle of radius 27 inches.

Mrs. Fuller is trying to organize all of her children's toys into a large toy box. Each toy
has the dimensions of 4 inches x 3 inches x 3 inches. The toy box measures 4 feet x 2
feet x 3 feet. How many toys will be stored in the large toy box?

Answers

Answer: 1,152 toys can be stored in the box.

Step-by-step explanation:

For an object with measures L (length) by W (width) by H (height) the volume is calculated as:

V = L*W*H

We know that the measures of each toy are: 4in x 3in x 3in

Then the volume of each toy is:

V = 4in*3in*3in = 36in^3

The toy box is 4ft x 2ft x 3 ft

First we should write the measures in the same units as before, we know that:

1ft = 12 in.

Then:

4ft = 4*12 in = 48 in

2ft = 2*12in = 24in

3ft = 3*12in = 36in

Then the measures of the box are:

48in x 24in x 36in

Then the volume of the box is:

V = 48in*24in*36in = 41,472 in^3

Now, the number of toys that can be stored in the box is the same as the number of times that  36in^3 is in 41,472 in^3

this is equal to the quotient between 41,472 in^3 and 36in^3

N = 41,472 in^3/36in^3 = 1,152

1,152 toys can be stored in the box.

write an absolute value inequality for the graph below.
use x for your variable.

Answers

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.

I need help on deltamath

Answers

Answer:

(-4,-5)

Step-by-step explanation:

(x,y)... always x-axis first and then y-axis

Factor 24x – 18 using the GCF​

Answers

Answer:

24x – 18

6(4x-3)is required factor.

write the equation of the line for the following table of values.


x. -3 -5 -7 -9 -11


y. -16 -26 -36 -46 -56


Plz helppp 35 points:)​

Answers

Answer:

We conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

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

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]

[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]

[tex]m=5[/tex]

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

[tex]y = mx+b[/tex]

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 5x + 1[/tex]

Therefore, we conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Rachel wants to use the Distributive Property to rewrite 72 + 45. Which expression could she use?

Answers

Answer:

1.17 x 10^2

Step-by-step explanation:

Im pretty sure its right

write 36/48 in simplest form​

Answers

Answer:

3/4

Step-by-step explanation:

heyyyyyyyyyyyyyyyyyyyyy

Answer:

3/4 (find the GCF, greatest common factor, and divide both sides [12])

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Solve for the missing monomial F.
-27x3y - (-3x)(F)

Answers

Answer:

7

Step-by-step explanation:

Decide whether the two equations are equations are equivalent 7v-3/2=5 14v-3=15 sho work

Answers

Answer:

Not equivalent.

Step-by-step explanation:

The given equations are :

7v-3/2=5 ....(1)

14v-3=15 ....(2)

Taking equation (1) first,

7v-3/2=5

Adding 3/2 to both the sides.

7v-3/2+3/2=5+3/2

7v = 6.5

v = 0.928

Taking equation (2).

14v-3=15

Adding 3 to both sides.

14v-3+3=15+3

14v=18

v = 1.285

So, the values of v in both equations ar not the same. It means two equations are not equivalent.

Graph the solution set to this inequality 3x -12 >_ 7x+4

Answers

Answer:

x [tex]\leq[/tex] -4

Step-by-step explanation:

1. 3x-12 [tex]\geq[/tex] 7x+4

add 12 to 12 to cancel it out, add 12 to 4.

2. 3x [tex]\geq[/tex] 7x+16

subtract 7x from 7x to cancel it out, subtract 7x from 3x.

3. -4x [tex]\geq[/tex] 16

divide -4 from -4x to cancel it out, divide -4 from 16.

4. x [tex]\geq[/tex] -4

since division was involved, the inequality symbol needs to be reversed.

ANSWER: x [tex]\leq[/tex] -4

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.4 millimeters (mm) and a standard deviation of 0.8 mm. For a randomly found shard, find the following probabilities.

a. the thickness is less than 3.0 mm
b. the thickness is more than 7.0 mm
c. the thickness is between 3.0 mm and 7.0 mm

Answers

Answer:

a) the required probability is 0.0013

b) the required probability is 0.0288

c) the required probability is 0.9759

Step-by-step explanation:

Given the data in the question;

let x be the thickness measurements

Given that X follows a Normal distribution with mean μ = 5.4

standard deviation σ = 0.8

then z = x-μ / σ = x-5.4 / 0.8   follows standard Normal

 

a) probability that the thickness is less than 3.0 mm

P( x<3 ) = P( x-5.4 / 0.8  <  3-5.4 / 0.8 ) = P( Z < -3.00 ) = 0.0013

Therefore, the required probability is 0.0013

b) the thickness is more than 7.0 mm

P( x>7 ) = P( x-5.4 / 0.8  >  7-5.4 / 0.8 ) = P( Z > 2.00)

= 1 - P( Z ≤ 2)

= 1 - 0.9772

= 0.0288

Therefore, the required probability is 0.0288

c) the thickness is between 3.0 mm and 7.0 mm

P(3< x<7 ) = P( x<7) - P(x<3)

= P( x-5.4 / 0.8  >  7-5.4 / 0.8 )  - P( x-5.4 / 0.8  <  3-5.4 / 0.8 )

= P( Z< 2 ) - P( Z < -3)

= 0.9772 - 0.0013

= 0.9759

Therefore, the required probability is 0.9759

find the area or this triangle ​

Answers

Answer:

Area of triangle = 15 square units

Step-by-step explanation:

We need to find area of the triangle, given the vertices:

A=(4,0)

B=(1,5)

C=(7,5)

The formula used is: [tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))[/tex]

We have: [tex]x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5[/tex]

Putting values and finding area

[tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15[/tex]

We will be ignoring negative sign, because area of triangle is positive.

So, Area of triangle = 15

Which of the following statements are true?
The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764.
The value of the 6 in 861,257 is 10 times the value of the 6 in 651,042.
The value of the 8 in 358,764 is 10 times the value of the 8 in 592,841.
The value of the 5 in 592,841 is in of the value of the 5 in 358,764.
The value of the 6 in 861,257 is in of the value of the 6 in 651,042.
The value of the 8 in 358,764 is id of the value of the 8 in 592,841.

Answers

The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764

Answer:

5/6 is eaqual to 2.5/3

Step-by-step explanation:

What interval notation represents the data graphed below?
A. [-∞, -2) U [4, ∞]
B. [-∞, -2] U (4, ∞]
C. (-∞, -2] U (4, ∞]
D. (-∞, -2) U [4, ∞)

Answers

Answer: Choice D

[tex](-\infty, -2) \cup [4, \infty)[/tex]

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

Explanation:

The left portion is the interval (-∞, -2)

This is a shorthand way of saying [tex]-\infty < x < -2[/tex]

The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.

In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to [tex]4 \le x < \infty[/tex]

Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.

All of this builds up to the full interval notation to be [tex](-\infty, -2) \cup [4, \infty)[/tex]

The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.

I'm supposed to solve for PQ. it's pythagorean theorem.​

Answers

Answer:

29 i think

Step-by-step explanation:

pythagoreon thereom is a^2+b^2=c^2 so c^2 being the hypotneuse you would do 2*2=4 +5*5=25 and 4+25=29

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of X along with summary statistics:
Small Medium Large
X = profit ($) 4 8 12
P(X) 0.18 0.50 0.32
Mean: μX = $8.56
Standard deviation: σx =$2.77
The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?

Answers

Answer:

The mean and standard deviation of Y is $6.56 and $2.77 respectively.

Step-by-step explanation:

Consider the provided information.

Let Y represent their profit on a randomly selected pizza with this promotion.

The company is going to run a promotion where customers get $2 off any size pizza.

Therefore, [tex]Y=\text{Profit}-\$2[/tex]

[tex]Y=X-\$2[/tex]

So the mean will be reduced by 2.

[tex]\mu_Y=\mu_X-\$2[/tex]

[tex]\mu_Y =\$ 8.56 - \$2[/tex]

[tex]\mu_Y =\$6.56[/tex]

If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.

Therefore [tex]\sigma_Y=\sigma_X=2.77[/tex]

Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.

what is an eqivallent fraction to 4/3

Answers

Answer:

8/6

Step-by-step explanation:

That is because 8 and 6 are double than that of 4 and 3 so it is an equavalent equation.

Answer:

8/6

Step-by-step explanation:

Multiply the numerator and denominator by 2! :)

What is | -7.9 ?
help

Answers

I think you mean |-7.9| which is the absolute value of 7.9
Absolute value just means how far away it is from zero on a number line.
So the value is always positive. So the positive of -7.9 is 7.9
|-7.9|= 7.9
Good luck!
Please brainliest
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