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Cerrena [4.2K]
1 year ago
11

Johan works in a cafe.

Mathematics
1 answer:
Ksenya-84 [330]1 year ago
6 0

Answer:

4:1

Step-by-step explanation:

The ratio at first would be 48:12, after this to simplify it we need to find the gcf (greatest/biggest common factor), which is 12. Dividing 48 by 12 gives us 4 and dividing 12 by 12 gives us 1, thus making the ratio 4:1

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What is the product of 8x-3 and x2- 4x +8
Dmitriy789 [7]
A product is the answer that you get when you multiply numbers together. So for this problem, you have 2 groups to multiply together. Since I cannot show a square or cubed x, I will put an x2 for x squared and an x3 for x cubed. You have to multiply each number in the first parentheses by each number in the second parentheses. Then combine any like sets.

(8x-3)(x2-4x+8)
8x3-32x2+64x-6x+12x-24
8x3-32x2+70x-24

So the answer is 8x cubed minus 32x squared plus 70x minus 24. Whew! That's a long one. Hope I didn't miss anything.
5 0
1 year ago
A convex lens has a diameter of 30 mm and a depth of 5 mm at the center. How far from the vertex is the focus?
natima [27]
The formula for determining the distance of the focus from the vertex is as follows,

     f = x² / 4a

where f is focus, x is the radius (half the value of diameter), and a is the depth. Substituting the known values to the given equation,

   f = (30/2 mm)² / (4)(5 mm)

    f = 11.25 mm

<em>ANSWER: 11.25 mm</em>
8 0
1 year ago
Two standard dice are rolled and their face values multiplied. What is the probability that the product is prime or ends in 0?
Trava [24]
The answer is 10/36 or 27.77%
here’s the working out

8 0
2 years ago
Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of thr
Rina8888 [55]

Answer:

3 - (n - 1) = 1/2(3n - 4)

Step-by-step explanation:

We want to write three minus the difference of a number and one equals one-half of the difference of three times the same number and four as an equation.

Let the number be n.

The first part is: three minus the difference of a number and one:

3 - (n - 1)

The second part is: one-half of the difference of three times the same number and four:

1/2(3n - 4)

Now, let us equate the first and second parts:

3 - (n - 1) = 1/2(3n - 4)

PS: I really do not understand the options

9 0
1 year ago
Read 2 more answers
The simplest form of the expression -2x2(x – 5) + x(2x2 – 10x) + x is ____________<br> .
Mars2501 [29]

Answer:

x

Step-by-step explanation:

Given

- 2x²(x - 5) + x(2x² - 10x) + x ← distribute both parenthesis

= - 2x³ + 10x² + 2x³ - 10x² + x ← collect like terms

= x

5 0
2 years ago
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