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qaws [65]
3 years ago
13

The sum of two numbers 10 and the difference of those two numbers is 18 (use f to represent the first number and s to represent

the second number)
Mathematics
1 answer:
PtichkaEL [24]3 years ago
5 0
F + s = 10

| f - s | = 18

-------

This means that:

f = 10 - s

And also that:

| f - s | = 18

(f-s)²=18²

f²- 2sf + s² = 324

But f=10-s

So...

(10-s)² - 2s(10-s) + s² = 324

(10-s)(10-s) - 20s + 2s² + s² = 324

100 - 20s + s² - 20s + 2s² + s² = 324

4s² - 40s + 100 = 324

4s² - 40s + 100 - 324 = 0

4s² - 40s - 224 = 0

1/4 * (4s² - 40s - 224) = 1/4 * 0

s² - 10s - 56 = 0

(s-14)(s+4)=0

So s can be either 14 or -4.

When s = 14, f = -4.

When s = -4, f = 14.
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Step-by-step explanation:

If 1.5 yards of licorice = 45.3 grams of sugar

5.5 yards of licorice = x

Cross multiply:

45.3grams * 5.5yards / 1.5yards

= 249.15 grams/yards / 1.5yards

= 166.1 grams of sugar

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The Budget Car Rental rates for renting a car for a day is shown in the table.
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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

a.) Initial cost of renting the car is $100

b.) rate of change is slope, that is :

  • \dfrac{105 - 100}{100 - 0}

  • \dfrac{5}{100}

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The expression describe the number that is 8 to the left of -8 on the number line ​
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jacob wants to buy packets of fruit juice. on tuesday, he buys 8 packets of orange and 6 packets of Apple the packets make a tot
ioda

Answer:

Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

Step-by-step explanation:

Let number of cups of juice in each packet of orange be 'x'.

Let number of cups of juice in each pack of apples be 'y'.

Given:

On Tuesday;

Number of packets of oranges = 8

Number of packets of apples = 6 packets.

Amount of fruit juice = 34 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

8x+6y=34 \ \ \ \ equation \ 1

On Wednesday;

Number of packets of oranges = 14

Number of packets of apples = 6

Amount of fruit juice = 46 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

14x+6y=46 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation we get;

14x+6y-(8x+6y)=46-34\\\\14x+6y-8x-6y=12\\\\6x=12

Now dividing both side by 6 we get;

\frac{6x}{6}=\frac{12}{6}\\\\x=2\ cups

Now we will substitute the value of 'x' in equation 1 we get;

8x+6y=34\\\\8\times2+6y=34\\\\16+6y=34

Subtracting both side by 16 we get;

16+6y-16=34-16\\\\6y= 18

Now dividing both side by 6 we get;

\frac{6y}{6}=\frac{18}{6}\\\\y=3

Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

5 0
3 years ago
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