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3 years ago

A recipe calls for 5 cups of sugar and 2 cups of brown sugar. You are enlarging

Mathematics

1 answer:

GarryVolchara [31]3 years ago

5 0

7.5 cups sugar will be used.

Step-by-step explanation:

Given,

Recipe calls 5 cups of sugar and 2 cups of brown sugar.

After enlarging 3 cups brown sugar is used.

To find the amount of sugar

Solution

2 cups enlarging into 3 cups

That means, $\frac{3}{2}$ times it's increasing.

Hence, 5 cups of sugar is also increasing by $\frac{3}{2}$ times

So, amount of sugar = 5× $\frac{3}{2}$ = $\frac{15}{2}$ = 7.5 cups

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Explain how you determine an equation for a line using a table of input/output values.

Lubov Fominskaja [6]

Example :

x y
1 3
2 6
3 9
4 12

first thing u do is pick any 2 points (x,y) from ur table

(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3

now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b

so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct

and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form

6 0

3 years ago

Need help on this math problem

erik [133]

Answer:

$-5, 18, \sqrt{13}$

Step-by-step explanation:

We can solve the first equation, f of -3. The value of the function f is $\frac{1+x^2}{x+1}$ , and plugging in -3 gets us $\frac{1+9}{1-3}$ , this results in 10 divided by negative 2, which is negative 5.

Now, we must solve g of negative one third. The function g is defined as $|9x-15|$ . Plugging in negative one third into the question gets us $|9(-\frac{1}{3})-15|$

9 times negative one third is -3, and -3 minus 15 is -18. The absolute value of -18 is 18.

Now, we must solve h of negative 2, and h is defined as $\sqrt{-3-8x}$ . Plugging in negative 2, we have $\sqrt{-3-8(-2)}$ . Negative 8 times negative 2 is positive 16, and 16 minus 3 is 13. The answer is the square root of 13

7 0

2 years ago

It is a linear equation but i don't know how to set the equation up , need help

ryzh [129]

Step-by-step explanation:

x = number of novels

y = number of dictionaries

x = 8y

88x + 208y = 13680

now, using the identity of the first equation in the second equation gives us

88(8y) + 208y = 13680

704y + 208y = 13680

912y = 13680

y = 13680/912 = 15

x = 8y = 8×15 = 120

so, there were 120 novels and 15 dictionaries sold.

7 0

2 years ago

A truck travels 2,365 miles at an average speed of 55 miles per hour.At that speed, how long will it take the truck to complete

disa [49]

Answer:

Step-by-step explanation:

Givens

d = 2365 miles

r = 55 miles / hour

t = ?

Formula

d = r * t

Solution

d = r * t

2365 = 55 * t Divide by 55

2365/55 = t

t = 43 hours.

5 0

2 years ago

I don’t understand this.

alexira [117]

I’ll solve number 3.

You need to group the like terms. For example, -4n + 6n = 2n

8=2n

Now, we need to keep n by itself.
2n/2 = n

Whatever you do to one side, you need to do to the other.

8/2 = 4

So, in conclusion, n = 4.

I hope this helps for you to solve the rest!

8 0

3 years ago