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BlackZzzverrR [31]
3 years ago
6

1. Suppose that F(x) varies directly with x and f(x) = 160 when x = 5.

Mathematics
2 answers:
WINSTONCH [101]3 years ago
8 0
<h2>1.</h2>

Answer

A. 16

Explanation

We know that f(x) varies directly with x, so this is a problem involving proportions.

We know that when f(x) = 160 when x = 5 and f(x) = ? when x = 0.5; in other words:

\frac{160---->5}{f(x)---->0.5}

Now, we can express our proportion as a fraction and solve for f(x):

\frac{160}{f(x)} =\frac{5}{0.5}

f(x)=\frac{(160)(0.5)}{5}

f(x)=\frac{80}{5}

f(x)=16

We can conclude that f(x)=16 when x=0.5

<h2>2.</h2>

Answer

B. 6.25

Explanation

Just like before, we have a problem involving proportions, but this time is an inverse proportion since h(x) varies inversely with x.

First, lets set up our proportion just like before. We know that when h(x) = 50 when x = 0.25 and h(x) = ? when x = 2; in other words:

\frac{50---->0.25}{h(x)----->2}

Now we can express our proportion as a fraction:

\frac{50}{h(x)} =\frac{0.25}{2}

But remember that we are dealing with an inverse proportion here, so before solving for h(x) we need to flip the second fraction:

\frac{50}{h(x)} =\frac{2}{0.25}

h(x)=\frac{(50)(0.25)}{2}

h(x)=\frac{12.5}{2}

h(x)=6.25

We can conclude that h(x)=6.25 when x=2



weeeeeb [17]3 years ago
6 0
The answer to question number 1 is 16.
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Need answer for this ratios question
Tom [10]

Answer: 4:1

Step-by-step explanation: I think the answer is 4:1. I think this because 20% of 2500, would be 500. So 2500-500=2000. So the ratio would be 2000:500. Then we simplify 2000:500, by dividing 2000 by 500, and dividing 500 by 500. 500 / 500 = 1. 2000 / 500 = 4, so the answer is 4:1. (I am sorry if I am incorrect)

7 0
2 years ago
Help me idk how to do this
ElenaW [278]
To do this, you have to plug each x value into the rule.

1.y = 15 - 3×2
y = 15 - 6
y = 9

So the first y value would be 9.

2.y = 15 - 3×3
y = 15 - 9
y = 6

3. y = 15 - 3×4
y = 15-12
y = 3

4. y = 15 - 3×5
y = 15-15
y = 0

Hope this helps!

3 0
3 years ago
Does this equation have exactly one solution ​
Alex73 [517]

Answer:

13x + 7 = 9x - 33 + 4x \\ 7 + 33 = 13x - 13x \\  \\ 40 = 0 \\  \\ no

6 0
3 years ago
Caitlin has $5 and $10 bills that are worth $675. She has twice as many $10 bills as $5 bills. How many of each type of bill doe
Lerok [7]

Caitlin has 27 $5 bills and 54 $10 bills.

Step-by-step explanation:

Given,

Worth of $5 and $10 bills = $675

Let,

Number of $5 bills = x

Number of $10 bills = y

According to given statement;

5x+10y=675    Eqn 1

She has twice as many $10 bills as $5 bills.

y=2x    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

5x+10(2x)=675\\5x+20x=675\\25x=675

Dividing both sides by 25

\frac{25x}{25}=\frac{675}{25}\\x=27

Putting x=27 in Eqn 2

y=2(27)\\y=54

Caitlin has 27 $5 bills and 54 $10 bills.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

7 0
3 years ago
How do you solve this equation
dsp73
First, you must get rid of the fractions. You can do that by multiplying that 15. Then, you get:
45x-12=-5x
Then combine the like terms

50x=12

x=12/50=6/25
5 0
3 years ago
Read 2 more answers
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