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4 years ago

What is u + v + w when u = –10, v = 4, and w = 8?

Mathematics

1 answer:

Natalka [10]4 years ago

5 0

The answer is B. 2 because you add the 8 and the 4 to get 12 and 12-10 = 2

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Inez has 20 coins consisting of dimes and quarters. How many of each type does she have if all together she has $4.10

erastovalidia [21]

X = # dimes
y = # quarters

x+y = 20 so x = 20 - y
0.1x + 0.25y = 4.1

substitute x = 20 - y into 0.1x + 0.25y = 4.1

0.1x + 0.25y = 4.1
0.1(20 - y) + 0.25y = 4.1
2 - 0.1y + 0.25y = 4.1
0.15y = 2.1
y = 2.1 / 0.15
y = 14

x = 20 - 14 = 6

answer
Dimes: 6 coins
Quarters: 14 coins

Double check
6 + 14 = 20 coins total
6(0.1) + 14(0.25) = 0.6 + 3.5 = $4.10

6 0

3 years ago

On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4). What is the equation of the line th

Novay_Z [31]

Answer:

$y=3x-5$

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(-3,2) and (0,1)

The slope m is

$m=(1-2)/(0+3)=-1/3$

step 2

Find the slope of the line perpendicular to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of its slopes is -1)

The slope is

$m=3$

step 3

Find the equation of the line in point slope form

we have

$m=3$

$point(3,4)$

$y-4=3(x-3)$ ----> equation in point slope form

Convert to slope intercept form

$y=3x-9+4$

$y=3x-5$

6 0

3 years ago

Read 2 more answers

Select all of the benefits to buying a home:

Arte-miy333 [17]

The benefits are 2, 3, 4, 6 & 7. The benefits listed are more on the business side in house purchasing. It is said that it is a good form of investment. You can stop paying for rents and have a sense of ownership, eventually, you can rent out or sell your house for higher values. Nowadays, owning a house is also quite easier due from easily accessible loans.

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3 years ago

Two buildings on opposites sides of a highway are 3x^3- x^2 + 7x +100 feet apart. One building is 2x^2 + 7x feet from the highwa

iVinArrow [24]

Given:

Distance between two buildings = $3x^3- x^2 + 7x +100$ feet apart.