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2 years ago

Find thepercent. Round to the nearest whole percent when necessary $6 tip for a $40 dinner

Mathematics

1 answer:

serious [3.7K]2 years ago

7 0

Answer:

15%

Step-by-step explanation:

i think thats right

hope that helps

pls mark brainliest

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PLEASE SHOW WORK A coffee distributor needs to mix a(n) Gualtemala Antigua coffee blend that normally sells for $10.30 per pound

Katarina [22]

Answer:

23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend

Step-by-step explanation:

you need to make a system of equations to solve this.

First lets make x be the pounds of Gualtemala Antigua coffee blend and y the pounds of Tanzanian coffee blend

we know we need 60 pounds total so first equation is

x+y=60

Next we will make an equation based on the money information

10.30x + 13.80y = 12.46(60)

10.30x + 13.80y = 747.60

So our system of equations is

x + y = 60

10.30x + 13.80y = 747.60

I will solve this by using substitution. first rewrite x+y=60 to y=60-x

now i can substitute that into the other equation for y and solve for x

10.30x + 13.80(60-x) = 747.60

10.30x + 828 -13.80x = 747.60

-3.5x + 828 = 747.60

-3.5x = -80.4

x = 23 (rounded from 22.9714 since they requested that)

now I can use this solution to solve for y by plugging into one of the original equations

x + y =60

23 + y =60

y = 37

Finally we can say that they must mix 23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend.

5 0

3 years ago

Find the distance between the following points using the Pythagorean theorem: (-5, 4) and (8, -3)

3241004551 [841]

First, draw a diagram to visualize the situation:

As we can see, the difference between the x-coordinates of the points is the length of one leg of a right triangle, and the difference between the y-coordinates is the length of the other leg.

Then, for the given points (-5,4) and (8,-3), the distance given by the Pythagorean Theorem is:

$\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ =\sqrt{(8--5)^2+(-3-4)^2} \\ \\ =\sqrt{(13)^2+(-7)^2} \\ \\ =\sqrt{169+49} \\ \\ =\sqrt{218} \\ \\ \approx14.7648... \end{gathered}$

Therefore, the distance between the points (-5,4) and (8,-3) is: √218.

5 0

1 year ago

For ΔABC, ∠A = 2x - 2, ∠B = 2x + 2, and ∠C = 5x. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C' with ∠A

Zolol [24]

<h3>Answer:</h3>

A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°

<h3>Explanation:</h3>

The sum of angles in ∆ABC is 180°, so ...

... (2x -2) + (2x +2) + (5x) = 180

... 9x = 180

... x = 20

and the angles of ∆ABC are ∠A = 38°, ∠B = 42°, ∠C = 100°.

___

The sum of angles of ∆A'B'C' is 180°, so ...

... (58 -x) +(3x -18) +(120 -x) = 180

... x +160 = 180

... x = 20

and ∠A' = 38°, ∠B' = 42°, ∠C' = 100°.

_____

The values of angle measures of ∆ABC match those of ∆A'B'C', so we can conclude ...

... A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°

8 0

3 years ago

Shreya and beth each improved their yards by planting rose bushes and ornamental grass. They brought their supplies from the sam

frutty [35]

Answer:

<u><em>The cost of one rose bush is $ 9 and the cost on one bunch pf ornamental grass is $ 8.</em></u>

Explanation:

Name the variables and build a system of two equations with two unknowns.

<u>1. Variable r</u>: cost of one rose bush

<u>2. Variable g</u>: cost of one bunch of ornamental grass.

<u>3. First equation</u>:

Shreya spent $68 on 4 rose bushes and 4 bunches of ornamental grass.

4r + 4g = 68

<u>4. Second equation</u>:

Beth spent $115 on 11 rose bushes and 2 bunches of ornaments grass.

11r + 2g = 115

<u>5. System of equations</u>:

4r + 4 g = 68 equation 1

11r + 2g = 115 equation 2

<u>6. Solve the system</u>

a) Divide the equation 1 by 2:

2r + 2g = 34 equation 1a

11r + 2g = 115 equation 2

b) Subtract equation 1a from equation 2:

11r - 2r = 115 - 34

9r = 81

r = 81 / 9

r = 9

c) Substitute the value of r into the equation 1a:

2(9) + 2g = 34

9 + g = 17

g = 17 - 9

g = 8

<u>7. Conclusion</u>:

The cost of one rose bush is $ 9 and the cost on one bunch pf ornamental grass is $ 8.

7 0

3 years ago

4 Millimeters decrease to 3 millimeters what's the percent of decrease

frutty [35]

It’s a 75 percent decrease

3 0

3 years ago

Read 2 more answers