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horsena [70]
3 years ago
8

Write an equivalent expression for 5(2x + y - 3z) by modeling and using the distributive property.

Mathematics
2 answers:
docker41 [41]3 years ago
7 0

Answer:

10x + 5y - 15z

Step-by-step explanation:

5(2x + y - 3z)

To get the equivalent expression we apply distributive property

a(x+b)= ax+ab

Using distributive property we distribute the number inside the parenthesis  Distribute 5 inside the parenthesis

5 times 2x becomes 10x

5 times y becomes 5y

5 times -3z becomes -15z

5(2x + y - 3z)

10x + 5y - 15z

soldi70 [24.7K]3 years ago
5 0

The answer is 10x + 5y - 15z

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eimsori [14]

Answer:

8 small tables

Step-by-step explanation:

they told you they have 5 large tables that seat 10 guests and 98 guests are coming. You need to subtract 50 from 98 because after you multiple how many guests can sit at each large table by how many large tables they have it equals 50 so 98-50=48 then you need to divide 48 by six because each small table sits six people so 48/6=8 so you need 8 small tables.

6 0
3 years ago
Solve: 6/x + 23 = 1/y for y.
iris [78.8K]

Answer:

\frac{y}{x}  =  \frac{6y {}^{2} }{x {}^{2} }

3 0
3 years ago
What happens when a triangle is dilated using<br> one of the vertices as the center of dilation?
iren2701 [21]

Answer:

When a Triangle is Dilated taking one of the vertices as the center of dilation

There are two Possibility, either Dilation factor will be (0<Dilation factor<1), or greater than 1.

1. When,0< Dilation Factor < 1

Size Of Preimage < Size of Image

2. When Dilation Factor > 1

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Step-by-step explanation:

5 0
3 years ago
If ΔABC is an equilateral triangle with, AB = 2x + 17, BC = 6x - 19, AC = 4x-1, find x and the measure of each side
Soloha48 [4]

Answer:

x=9, AB=BC=AC=35

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that AB=BC=AC. We are given the lengths of all 3 sides in terms of x, but we only need to set two of them equal to each other to solve for x. Let's use AB and BC to solve for x. We know that AB=BC, AB=2x+17, and BC=6x-19. Therefore, we can write the following equation to solve for

AB=BC\\2x+17=6x-19 (Substitute given values into equation)

Solving for x, we get:

2x+17=6x-19\\2x+17-17=6x-19-17 (Subtract 17 from both sides of the equation to isolate constants)

2x=6x-36 (Simplify)

2x-6x=6x-36-6x (Subtract 6x from both sides of the equation to isolate x)

-4x=-36 (Simplify)

\frac{-4x}{-4}=\frac{-36}{-4} (Divide both sides of the equation by -4 to get rid of x's coefficient)

x=9 (Simplify)

Therefore, AB=2x+17=2*9+17=18+17=35, and AB=BC=AC=35. Hope this helps!  

3 0
2 years ago
Each week morning sunshine cafe orders coffee packets that costs $2.50 per packet with a 10.00 shipping fee . If morning sunshin
Anni [7]

Answer:

193 packets

Step-by-step explanation:

Each morning they order with a shipping fee of $10 daily.

Considering they order all 7 days of the week, so the total shipping fee for the week would be:

7 * $10 = $70

Their budget for the week is $554, out of which $70 is for shipping for the week, so remaining balance would be:

554 - 70 = $484

This 484 dollars are for coffee packets that cost $2.50 each, so the number of packets would be:

484/2.50 = 193.6

You can't order fractional packets so 193 packets is the max in this budget

7 0
3 years ago
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