Shryia read a

Find two numbers whose sum is 18 who’s difference is 22

wel

Answer:

The Answer is: The first number is 20 and the second number is -2.

Step-by-step explanation:

Let f = first number and s = second number.

The sum is 18:

f + s = 18

Solve for s:

s = 18 - f

The difference is 22:

f - s = 22

Substitute:

f - (18 - f) = 22

f - 18 + f = 22

2f = 22 + 18

2f = 40

f = 20, the first number.

Solve for s:

s = 18 - f

s = 18 - 20 = -2, the second number.

Proof:

20 + (-2) = 18

20 - 2 = 18

18 = 18

Then:

f - s = 22

20 - (-2) = 22

20 + 2 = 22

22 = 22

Hope this helps! Have an Awesome Day!! :-)

4 0

4 years ago

The points (4,1 ) and (x,-6 lie on the same line. If the slope of the line is 1,what is the value of x?

konstantin123 [22]

Answer:

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Step-by-step explanation:

snnaakaknananananabababababababababababa

nansskqlnzelsksuqqhnqqko

6 0

3 years ago

Maya's penny bank is 3/4 full. After she removes 280 pennies, it is 1/2 full. How many pennies can Maya's bank hold?

Dafna11 [192]

Answer:

1120

Step-by-step explanation:

5 0

3 years ago

PLEASE HELP ASAP!!!! Alex has an original recipe for a fruit drink with apple, orange, and pineapple juice. He makes new fruit d

Mashutka [201]

Answer:

A. Drink 1

B. Drink 2

Step-by-step explanation:

We are given that,

The quantities of fruit juice in original recipe are:

Apple juice = $1\frac{1}{4}$ = $\frac{5}{4}$

Orange juice = $1\frac{3}{4}$ = $\frac{12}{4}$ = 3

Pineapple juice = $\frac{1}{2}$

So, we get that,

The proportion of apple juice to pineapple juice in the original recipe is $\frac{\frac{5}{4}}{\frac{1}{2}}$ = $\frac{5}{2}$ .

Now, according to the options , we will check which drink have apple to pineapple juice ratio equal to $\frac{5}{2}$ .

Simplifying the mixed fraction into rational numbers, we get,

Drink A: $\frac{\frac{5}{3}}{\frac{2}{3}}$ = $\frac{5}{2}$ .

Drink B: $\frac{\frac{5}{2}}{1}$ = $\frac{5}{2}$ .

Drink C: $\frac{5}{1}$ = 5

Drink D: $\frac{\frac{4}{3}}{\frac{1}{3}}$ = $\frac{4}{1}$ = 4

Drink E: $\frac{\frac{7}{8}}{\frac{6}{8}}$ = $\frac{7}{6}$ .

So, we see that,

Drinks A and B have the same proportion of apple to pineapple juice as that of the original recipe.

6 0

3 years ago

A spring has natural length 23 cm. Compare the work W1 done in stretching the spring from 23 cm to 33 cm with the work W2 done i

MariettaO [177]

Answer:

The relation between $W_{1} \ and \ W_{2}$ is $W_{2} = 3 \ W_{1}$

Step-by-step explanation:

Natural length = 0.23 m

Spring stretches from 23 cm to 33 cm. now

Work done $W_{1}$ in stretching the spring

$W_{1} = \int\limits^a_b {kx} \, dx$

where b = 0 & a = 0.1 m

$W_{1} = k [\frac{x^{2} }{2} ]$

With limits b = 0 & a = 0.1 m

Put the values of limits we get

$W_{1} = k [\frac{0.1^{2} }{2} ]$

$W_{1} = 0.005 k$ ------- (1)

Now the work done in stretching the spring from 33 cm to 43 cm.

$W_{1} = \int\limits^a_b {kx} \, dx$

With limits b = 0.1 m to a = 0.2 m

$W_{2} = k [\frac{x^{2} }{2} ]$

With limits b = 0.1 m to a = 0.2 m

$W_{2} = k [\frac{0.2^{2} - 0.1^{2} }{2} ]$

$W_{2} =0.015$

$\frac{W_{2} }{W_{1} } = \frac{0.015}{0.005}$

$\frac{W_{2} }{W_{1} } =3$

Thus

$W_{2} = 3 \ W_{1}$

This is the relation between $W_{1} \ and \ W_{2}$ .

3 0

3 years ago