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nika2105 [10]
2 years ago
7

Explanation needed What is the x-intercept of the equation: -5x+15y=30​

Mathematics
1 answer:
Scrat [10]2 years ago
8 0

Answer: (-6,0)

Step-by-step explanation: To determine the x-intercept, we set y equal to zero and solve for x.

−5x=30  

x=-6

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For every 5 coins carmen gets ,she gives 2 to her brother Frankie.If carmen has 9 coins,howmany coins does Frankie have?
FrozenT [24]

Answer:

Frankie have 6 coins

Step-by-step explanation:

For every 5 coins Carmen gets ,she gives 2 to her brother Frankie

Out of 5 coins, Carmen given 2 to her brother Frankie

So Carmen has 3 coins and Frankie has 2 coins

Ratio of coins , Frankie to Carmen is

2: 3

We need to find the number of coins Frankie has if Carmen has 9 coins

ratio of Frankie to Carmen is x : 9

Now make a proportion and solve for x

\frac{2}{3} =\frac{x}{9}

Cross multiply it

2*9 = 3*x

18 = 3x

Now divide both sides by 3

so x= 6

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7 0
3 years ago
Nancy’s morning routine involves getting dressed , eating breakfast, making her bed , and driving to work . Nancy spends 1/3 of
grin007 [14]

Answer: Nancy needs 26 minutes to driving to work.

Explanation:

Since we have given that

Time taken in eating breakfast = 10 minutes

Time taken in making her bed = 5 minutes

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Time taken in getting dressed is given by

\frac{1}{3}x

So, According to question,

\frac{x}{3}+10+5=35\frac{1}{2}\\\\\frac{x}{3}+15=\frac{71}{2}\\\\\frac{x}{3}=\frac{71}{2}-15\\\\\frac{x}{3}=\frac{71-30}{2}=\frac{41}{2}\\\\x=\frac{123}{2}

Now, we need to find the time taken in driving to work which is given by

\frac{123}{{2}-\frac{71}{2}=\frac{52}{2}=26\ minutes

Hence, Nancy needs 26 minutes to driving to work.

6 0
3 years ago
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The distance between the trains is changing at the rate of (70 -60) = 10 mph. They will be in the same place (45 mi)/(10 mi/h) = 4.5 hours after they leave their respective cities. They will be 10 miles apart both 1 hour before that time and one hour after that time.

The trains will be 10 miles apart 3.5 hours after leaving.

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3 years ago
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