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3 years ago

Which of the following equations have no solution? Select all that apply.

Mathematics

1 answer:

Ivanshal [37]3 years ago

7 0

Answer:

B) -|x + 3| = 3

D) |x + 3| + 6 = 3

Step-by-step explanation:

A) |x + 3| = 3

B) -|x + 3| = 3

Divide by -1

|x + 3| = -3

Absolute values are 0 or positive so this cannot have a solution

C) |x + 3| + 3 = 3

Subtract 3 from each side

|x + 3| + 3-3 = 3-3

|x + 3| = 0

D) |x + 3| + 6 = 3

Subtract 6 from each side

|x + 3| = -3

Absolute values are 0 or positive so this cannot have a solution

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A lemonade stand sells drinks in two sizes, small and medium. In the span of 1 hour, the stand sold 72 drinks. The ratio of smal

Mashutka [201]

Answer:

The total amount of money received at the lemonade stand was $49.50

Step-by-step explanation:

Let

x ---> the number of small drinks sold

y ---> the number of medium drinks sold

we know that

The stand sold 72 drinks

$x+y=72$ ----> equation A

The ratio of small drinks to medium drinks sold was 5:3

$\frac{x}{y}=\frac{5}{3}$

$x=\frac{5}{3}y$ ----> equation B

substitute equation B in equation A

$\frac{5}{3}y+y=72$

$\frac{8}{3}y=72\\\\y=72(3)/8\\\\y=27$

Find the value of x

$x=\frac{5}{3}(27)=45$

Find out the total amount of money received at the lemonade stand

$0.50(45)+1.00(27)=\$49.50$

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3 years ago

Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is parallel to line m?

Oksi-84 [34.3K]

Gradient=rise/run=y2-y1/x2-x1

= 7-3(4)/-4--4(0)

As you can't divide by zero the line's equation is x=-4 so it doesn't have a gradient as such. However, a parallel line would be the y-axis

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Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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$7 - 5n = 42$

$- 5n = 35$

$n = - 7$

Since a negative times a positive makes a negative you can change your equation to 7 - 5n=42. You can now subtract 7 from both sides to get -5n = 35. Next get divide -5 on both sides giving you n = -7.

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