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3 years ago

-4(x - 2) - 3x = 2(5x - 7) + 6

Mathematics

1 answer:

Allisa [31]3 years ago

3 0

Answer: last option.

Step-by-step explanation:

To apply the Distributive property, remember that:

$c(a-b)=ca-cb$

Then, applying this, you get:

$-4(x - 2) - 3x = 2(5x - 7) + 6\\\\(-4)(x)+(-4)(-2)-3x=(2)(5x)+(2)(-7)+6\\\\-4x+8-3x=10x-14+6$

Combine like terms means that you need to add the like terms.

Therefore, you get:

$-7x+8=10x-8$

You can observe that the expression obtained matches with the expression provided in the last option.

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The ratio of forks to spoons in the cafeteria is 15:25. If the total

9966 [12]

Answer:

30 forks

Step-by-step explanation:

Let's start by simplifying the given ratio. Since both 15 and 25 are multiples of 5, we can divide the whole ratio by 5.

Forks: spoons

= 15: 25

= 3: 5

This means that forks take up 3 units of the total number of utensils, while the number of spoons is 5 units of the total number of utensils.

Number of forks= 3u

Number of spoons= 5u

Units shall be represented by the letter u from this point forth.

Now, we can form an equation using the total number of utensils in the cafeteria.

Assuming that the utensils in the cafeteria are only forks and spoons,

number of fork and spoons= 80

3u +5u= 80

8u= 80

Let's solve for u.

Divide by 8 on both sides:

1u= 80 ÷8

1u= 10

This means that 1 unit represents 10 utensils.

Substitute the value of u into the expression of the number of forks:

Number of forks

= 3u

= 3(10)

= 30

Thus, there are <u>30 forks</u> in the cafeteria.

8 0

2 years ago

Graph: y = (x – 3)2 + 3

dangina [55]

Answer:

Use, y = 3x-3, it might be easier to graph

Step-by-step explanation:

You can convert this equation into slope-intercept for to gramph.

y = (x – 3)2 + 3

y = 3x-6+3

y = 3x-3

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2 years ago

What are roots of the equation -90=x (x-18)

daser333 [38]

Answer:

-90= $x$ ( $x$ -18)

-90= $x^{2}$ -18 $x$

$0=x^{2}-18x+90$

$x=9+3i or 9-3i$

Step-by-step explanation:

you need to use quadratic formula and you will find square root a negative ( -9 ), which is an imaginary no.

square root (-9) = 3i

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2 years ago

Due to delays, a company had to extend a project from 64 days to 123 days. What was the percentage increase in time to complete

Lana71 [14]

Answer:

40%

Step-by-step explanation:

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3 years ago

How many ways are there of seating six people at a round table so that two speciﬁc people sit together?

Natasha_Volkova [10]

Answer:

6 People in a round table can be seated in (6 - 1) ! ways = 120. Now we need to subtract the number of cases when one of those is sitting next to 2 of the other 5. We can consider as if 5 people are sitting in a row because it is round table.

5 0

3 years ago