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Irina18 [472]
3 years ago
14

A rival chocolate company is larger. They have 11 times as many workers.

Mathematics
1 answer:
scoundrel [369]3 years ago
4 0

Answer:

13.4

Step-by-step explanation:

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Five less than the product of 14 and carlos's age use the variable c to represent carlos's age
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" the product " means multiply

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The sales tax in town is 7 percent. Kiki paid $35 in sales tax on a new stereo. What’s the price of the stereo
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Samantha Cruz has 200 coins (quarters and dimes). She has $44.00. Write a system of equations and determine how many quarters= _
marishachu [46]

Answer:

Step-by-step explanation:

how many coins:  d + q = 200

value of the money  .10d + .25q = 44

(ten cents for each dime and 25 cents for each quarter)

Now to solve by elimination:

1)multiply the first row by -10 so that the dimes will cancel out.

-.10d + -.10 q = 20   (don't do anything to second row)

.10d +  .25q = 44

2) now add those up.

the dimes cancel out.

.15 q = 64

that does not divide evenly so there is something wrong with this problem.

4 0
3 years ago
A (0, 2) and B (6,6) are points on the straight line ABCD.
elena-14-01-66 [18.8K]

Answer:

(18, 14)

Step-by-step explanation:

We know that C and D lie on the line AB and BC = CD = AB. Then we need to use the distance formula and equation of the line AB to find the other two coordinates.

The distance formula states that the distance between two points (x_1,y_1) and (x_2,y_2), the distance is denoted by: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}. Let's find the distance between A and B:

d = \sqrt{(6-0)^2+(6-2)^2}=\sqrt{6^2+4^2} =\sqrt{36+16} =\sqrt{52} =2\sqrt{13}

Now say the coordinates of D are (a, b). Then the distance between D and B will be twice of 2√13, which is 4√13:

4√13 = \sqrt{(6-a)^2+(6-b)^2}

Square both sides:

208 = (6 - a)² + (6 - b)²

Let's also find the equation of the line AB. The y-intercept we know is 2, so in y = mx + b, b = 2. The slope is (6 - 2) / (6 - 0) = 4/6 = 2/3. So the equation of the line is: y = (2/3)x + 2. Since (a, b) lines on this line, we can put in a for x and b for y: b = (2/3)a + 2. Substitute this expression in for b in the previous equation:

208 = (6 - a)² + (6 - b)²

208 = (6 - a)² + (6 - (2/3a + 2))² = (6 - a)² + (-2/3a + 4)²

208 = a² - 12a + 36 + 4/9a² - 16/3a + 16 = 13/9a² - 52/3a + 52

0 = 13/9a² - 52/3a - 156

13a² - 156a - 1404 = 0

a² - 12a - 108 = 0

(a + 6)(a - 18) = 0

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We know a can't be negative so a = 18. Plug this back in to find b:

b = 2/3a + 2 = (2/3) * 18 + 2 = 12 + 2 = 14

So point D has coordinates (18, 14).

8 0
3 years ago
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What is the value of x? Enter your answer in the box.
yan [13]

Answer:

Did you find the answer?

Step-by-step explanation:


3 0
3 years ago
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