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Soloha48 [4]
2 years ago
15

The expression -x^2 + 70x -600 represents a companys profit for selling x items. For which number of items sold is the companys

profit equal to zero?
Mathematics
1 answer:
umka21 [38]2 years ago
7 0

Answer:

Step-by-step explanation:

-x² + 70x - 600

If we multiply all by -1, we have

x² - 70x + 600

If we factorise this, we have

x² - 10x - 60x + 600

x(x - 10) - 60(x - 10)

(x - 10) (x - 60)

x = 10

x = 60

If the company sells 10, or 60 items, their profit is 0

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In a hospital, there are 250 registered nurses. 100 of the nurses are males. What is the ratio of male nurses to female nurses i
Dimas [21]

Answer:

The ratio of male nurses to female nurse in lowest terms is: 2:5

Step-by-step explanation:

Given: In a hospital, there are  total 250 registered nurses.

Number of nurses are males = 100

Number of nurses are females = 250 - 100 = 150  [ Total nurses - number of male nurses]

To find the ratio of male nurse to female nurses in lowest terms;

A ratio shows that the relative sizes of two or more values.

Then,

\frac{Number of male nurses}{Number of female nurses} = \frac{100}{250}

or

= \frac{100}{250} =\frac{10}{25} =\frac{2}{5} = 2:5

Therefore, the ratio of male nurses to female nurses in lowest terms is; 2 :5

7 0
2 years ago
Read 2 more answers
Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A
Fynjy0 [20]
The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.

We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.

We can write the formula as
CD = \sqrt{( x_{1}- x_{0})  ^{2}+ ( y_{1}- y_{0})  ^{2}  }
CD = \sqrt{(a-0)^{2}+ (b-b)^{2}  }

7 0
2 years ago
Read 2 more answers
Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, a
nika2105 [10]

Answer:

<h2>D= 3.9 miles</h2>

Step-by-step explanation:

Given data

speed v= 13 miles per hour

time taken t= 20min to hour 0.3 hours

the distance D

We know that the relationship between speed, time, and distance

speed=distance/time

13=D/0.3

(the expression above describes the relationship between  distance, speed, and time)

making D subject of formula we have

D= 0.3*13

D= 3.9 miles

hence the distance is 3.9miles

6 0
2 years ago
A cake manufacturer boxes Swiss chocolate and German chocolate cakes at one site. A box of Swiss chocolate cake contains 0.55 lb
Kobotan [32]

Answer:

2,500 German chocolate cake boxes.

1,500 Swiss chocolate cake boxes.

Step-by-step explanation:

Let 'S' be the number of Swiss chocolate cakes boxed and 'G' the number of German cholocate cakes boxed. If all of the available ingredients are used:

0.55*S +0.59*G = 2,300\\0.45*S+0.41*G = 1,700

Solving the linear system above:

(0.55 *S +0.59*G)- \frac{0.55}{0.45} (0.45*S+0.41*G)= 2,300-\frac{0.55}{0.45}*1,700*\\0.088888*G = 222.222\\G=2,500\\S =\frac{2,300-2,500*0.59}{0.55}\\S=1500

2,500 German chocolate cake boxes and 1,500 Swiss chocolate cake boxes can be made each day.

6 0
2 years ago
There are 648 cows and sheep on the farm. The ratio of the number of Cows to the number if sheep is 5:4. At an auction 2 thirds
GREYUIT [131]
Cows : sheep = 5 : 4

5x + 4x = 648

9x = 648

x = 72

5x = 5 * 72 = 360

4x = 4 * 72 = 288

There are originally 360 cows and 288 sheep.

2/3 of the sheep are sold. That means that 1/3 of the sheep are left.

1/3 * 288 = 96

96 sheep are left.

x cows were sold.

(360 - x)/96 = 3/1

360 - x = 288

-x = -72

x = 72

72 cows were sold
7 0
2 years ago
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