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Helen [10]
2 years ago
5

Vincent has already finished 5 oil changes today, and can complete more at a rate of 1 oil change per hour. Warren just came on

shift, and can finish 2 oil changes every hour. Sometime during the day, the friends will be tied, with the same number of oil changes completed. How long will that take? How many oil changes will Vincent and Warren each have done?
Mathematics
1 answer:
IrinaVladis [17]2 years ago
8 0

Answer:

Oil changes = 5

Vincent = 10 oil changes

Warren = 10 oil changes

Step-by-step explanation:

Vincent = 5 + h

Warren = 2h

Where,

h = number of oil changes

How long will that take?

Vincent = Warren

5 + h = 2h

5 = 2h - h

5 = h

h = 5

Number of oil changes = 5

How many oil changes will Vincent and Warren each have done?

Vincent = 5 + h

= 5 + 5

= 10 oil changes

Warren = 2h

= 2(5)

= 10 oil changes

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The Sandberg Institute building in Amsterdam generates revenue by selling advertising space on the exterior of the building. The
Contact [7]

Answer:

2.7 million euros per month

Step-by-step explanation:

Since the room is a rectangular prism, we find the area of the room without its top and bottom, which is the area of the walls, A. So,

A = 2(lh + wh) = 2h(l + w) where l = length of room = 50 m, w = width of room = 40 m and h = height of room = 75 m

Substituting the values of the variables into A, we have

A = 2h(l + w)

= 2(75 m)(50 m + 40 m)

= 150 m × 90 m

= 13500 m²

= 13500 × 1m²

= 13500 × 10000 cm²

= 135000000 cm²

= 1.35 × 10⁸ cm²

Now, since 50 cm² of space = 1 Euro per month, then 1.35 × 10⁸ cm²

= 1.35 × 10⁸ cm² × 1 Euro per month/50 cm²

= 0.027 × 10⁸ Euro per month

= 2.7 × 10⁶ Euro per month

= 2.7 million euros per month

So, the institute will earn 2.7 million euros per month

5 0
2 years ago
I have to make an algebraic expression or equation for this and explain what the variable represents... please help!
AlladinOne [14]
6 * $1.25 is the expression.
$7.50 is the expression, solved.
6 0
2 years ago
How many groups of 2 people can you form with 6 people
GaryK [48]

Answer:3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33
Zina [86]

Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

y =-3x^2 + 12x - 33

Required

The true statement about the extreme value

First, write out the leading coefficient

Leading = -3

-3 < 0 means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

x = -\frac{b}{2a}

Where:

a= -3; b =12; c =-33

So, we have:

x = -\frac{12}{2 * -3}

x = -\frac{12}{-6}

x =2

Substitute x =2 in y =-3x^2 + 12x - 33

y = -3*2^2 + 12 * 2 - 33

y = -21

<em>Hence, the maximum is -21.</em>

8 0
3 years ago
The volume of a shampoo filled into a container is uniformly distributed between 370 and 385 milliliters. (a) What are the mean
Olenka [21]

Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

(c) 384.25 ml

Step-by-step explanation:

(a)The mean:

\mu = \frac{385 + 370}{2} = 377.5 ml

The standard deviation:

\sigma = \frac{385 - 370}{\sqrt{12}} = 4.33

(b)

P(x < 375) = \frac{375 - 370}{385 - 370} = \frac{1}{3} \approx 0.333

(c)P(x > m) = 0.95

\frac{m - 370}{385 - 370} = 0.95

m - 370 = 14.25

m = 384.25ml

So the volumn of shampoo should be 384.25ml to exceed 95% of containers.

7 0
3 years ago
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