Simplify a - {b - [C- (d - e) -f]-g}.​

Answer:

Step-by-step explanation:

Let the number = x

So we are trying to work out what number must be subtract from the numerator and denominator of 5/3 to equal 5/7.

You can write this as:

[tex]\frac{ 5-x}{3 - x} = \frac{5}{7}[/tex]

Then you want to get rid of the fractions so multiply both sides by 3-x

[tex]5 - x =[/tex] [tex]\frac{5 ( 3 - x)}{7}[/tex]

Then multiply both sides by 7

[tex]7( 5 - x) = 5 ( 3 - x)[/tex]

Multiply it out.

35 - 7x = 15 - 5x

Add 7x to both sides:

35 = 15 - 5x + 7x

35 = 15 + 2x

Subtract 15 from both sides

35 - 15 = 2x

20 = 2x

To find x, divide both sides by 2.

x = 10.

The values of the function are,

f (- 3) = 16,000 meaning a qualifying applicant with - 3 siblings in their household would get $16,000 in financial aid. This interpretation does not make sense in the context of the problem.

f (3) = 34,000 meaning a qualifying applicant with 3 siblings in their household would get $34,000 in financial aid. This interpretation makes sense in the context of the problem.

The domain for this function is x ≥ 0, indicating that the number of siblings must be a non-negative whole number or zero.

Given that,

The function is,

[tex]f (x) = 25000 + 3000x[/tex]

Where x is the number of siblings.

Hence, the values of the function are found as,

[tex]f (x) = 25000 + 3000x[/tex]

Put x = - 3;

[tex]f (- 3) = 25000 + 3000 \times - 3[/tex]

[tex]f (- 3) = 25000 - 9000[/tex]

[tex]f (- 3) = 16,000[/tex]

Put x = 3;

[tex]f (x) = 25000 + 3000x[/tex]

[tex]f (3) = 25000 + 3000 \times 3[/tex]

[tex]f ( 3) = 25000 + 9000[/tex]

[tex]f (3) = 34,000[/tex]

Since the given function is,'

[tex]f (x) = 25000 + 3000x[/tex]

Regarding the domain of the function,

Since the number of siblings (x) must be a non-negative integer, it represents the count of individuals.

Therefore, the appropriate domain for this function would be x ≥ 0, meaning x can be any non-negative whole number or zero.

To learn more about the function visit:

https://brainly.com/question/11624077

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For the given question some parts of the question are shown in the attached image.

Answer:

T

Step-by-step explanation:

Answer:

6hours

Step-by-step explanation:

From the given information:

Suppose it took Karl x hours to retile her bathroom,

Then it will take Della 3 hours longer i.e (3+x) hours

If Della and Karl work together or will take them 2 hours

The objective is to determine how long it will take Delia to retile the bathroom alone?

∴

[tex]\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}[/tex]

[tex]\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}[/tex]

[tex]\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}[/tex]

By cross multiplying, we have:

2(2x+3) = 3x+x²

4x + 6 = 3x + x²

3x + x² - 4x - 6

x² - x - 6 = 0

Using quadratic equation

x² -3x +2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x +2) (x - 3) = 0

x + 2 = 0 or x - 3 = 0

x = -2 or x = 3

Since we are concerned about the positive integer,

Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours

Answer:

the answer is // x^2 - x +1 (apex)

Step-by-step explanation:

Answer:

the answer is false. you first multiply the number by the numerator then add it to the denominator

Answer:

There are 12 pieces of candy in Willy's bags and 13 pieces of candy in Mia's bags.

Step-by-step explanation:

Draw it out.

Answer:

2 Miles.

Step-by-step explanation:

[tex]2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{3}*\frac{3}{4}=\frac{2}{1}*\frac{1}{1}\\\\[/tex].

Your final answer is 2 miles.

[tex]15x - 10 = 10 + 6 + 2x[/tex]

[tex]15x - 10 = 16 + 2x[/tex]

Plus sides 10

[tex]15x - 10 + 10 = 2x + 16 + 10 \\ [/tex]

[tex]15x = 2x + 26[/tex]

Subtract sides -2x

[tex]15x - 2x = 2x - 2x + 26[/tex]

[tex]13x = 26[/tex]

Divided sides by 13

[tex] \frac{13}{13}x = \frac{26}{13} \\ [/tex]

[tex]x = 2[/tex]

_________________________________

Done.....♥️♥️♥️♥️♥️

Answer:

Um yes what they said :) I got 2 too.

Step-by-step explanation:

Responder:

$ 2560

Explicación paso a paso:

Dado lo siguiente:

Importe total (A) = 60000

Pago inicial = 20% de A

Pago inicial = 0,2 * 60000 = 12000

Importe pendiente de pago = (60000 - 12000) = 48000

Calcular el interés simple sobre el saldo de 48000 = principal

principal * tasa * tiempo

(48 000 * 0,12 * (30/6))

48000 * 0,12 * 5 = 28800

Por tanto, el importe total a pagar durante 30 meses será:

(48 000 + 28800) = 76800

Dado que el pago mensual es fijo:

Pago mensual = (monto total a pagar / cantidad de meses)

Pago mensual = (76800/30)

Pago mensual = $ 2560

Answer:

1449616

Step-by-step explanation:

Answer:

A. 11

Step-by-step explanation:

30 - 2(7+2) - 1

30 - 2(9) -1

30-18- 1

12-1

11

Answer:

30 - 2(7+2) -1

PEMDAS

Parentheses first

30 - 2(9) -1

Then multiply and divide

30 - 18 -1

Then add and subtract

12-1

11

Step-by-step explanation:

Answer:

∠ABD = 48

Step-by-step explanation:

use symbolab

(x+15)=(4x-12)

x+15-15=4x-12-15

x=4x-27

x-4x=4x-27-4x

-3x=-27

divide both sides by 3 and you get x=9

then put 9 in to replace x

((9) + 15) + (4 (9) - 12)

=24 + (4 (9) - 12)

= 24 + 24

=48

ur welcome

Answer:

0.25

I hope this helps!

Answer:

1/4

Step-by-step explanation:

Negative exponents basically flip the number upside down,

so 4 ^ -2 would be 1/4^2

where the four has a power of 2.

The answer would therefore be 1/16

Numbers to the power of 1, is just the same number, so if you have negative exponents, it would be the same 4, except flipped over.

Answer:

a= 7w-28b

Step-by-step explanation:

w= 7a +4b

           -4b

w-4b =7a

w/7 - 4b/7 =7a/7

a= w/7 -4b/7

a= 7w-28b

Answer:

<5 ~= <1 - Corresponding Angles Theorem

<1 ~= <7 - Alternate Exterior Angles Theorem

<5~= <7 - Vertical Angles Theorem

line l || line m - Transitive Property

Answer:

1/30

Step-by-step explanation:

Answer:

1

Reason:

There can only be one answer for prime numbers.

Answer:

1 beause 11 is an odd number so there are no mulipules

wait do you mean that one magazine is 2/11 inches thick

Supplementary angles are angles that sum up to 180 degrees

Step 1:

If m<x and m<y are supplementary, hence;

m<x + m<y = 180 ....................1

Step 2:

If m<y is a supplement to m<z, hence:

m<y + m<z = 180 ...........................2

Equating 1 and 2

m<x + m<y  = m<y + m<z

Subtract m<y from both sides

m<x + m<y-m<y  = m<y + m<z - m<y

m<x = m<z

This proves the statement m<x = m<z

Learn more here: https://brainly.com/question/12919120

Answer: (0,-6)

Step-by-step explanation:

To find the y-intercept, we can rewrite the equation into slope-intercept form.

3x+5y=-30            [subtract both sides by 3x]

5y=-3x-30             [divide both sides by 5]

y=-3/5x-6

Now that the equation is in slope-interceot form, we know that the y-intercept is -6, we know that the answer is (0,-6).

Answer:

It is actaully 19683.0 lol

Step-by-step explanation:

Answer:

I thought it was 42069 i guess i was wrong

Step-by-step explanation:

Answer:

1.5 dollars

Step-by-step explanation:

24/16=1.5

Answer:

if 16 tickets cost 24 dollars how about one

if 16tkts = 24 dollars

how about 1 tkt = ?

1×24=24

24÷16 = 1.5 dollars or you round off to the nearest 5 cents Making the answer to be 2 Dollars per ticket

Answer:

6 ways

Step-by-step explanation:

Given

Number of Sports: 3

Required

Determine the total number of schedules

Since, there are 3 sports and the schedule is in no particular order.

The number of schedules is calculated as thus:

[tex]Number = n!\ ways[/tex]

Where:

[tex]n = 3[/tex]

So, we have:

[tex]Number = 3 * 2 * 1\ ways[/tex]

[tex]Number = 6\ ways[/tex]

Answer:

882

Step-by-step explanation:

Used excel sheet. drag numbers 0 to 65535. next row, create the base3 number of first column, select all 8 digit numbers, will be 6561. eliminate numbers with no 1 or 2 or 3. eliminate numbers with 23, 32, keeping 1 as kand, 2 as kayaking, 3 as surfing..result will be 882

Answer:

The gluten-free has stronger flavor of butterscotch

Step-by-step explanation:

Given

Regular Batch:

5 cups of butterscotch chips and 16 cups of regular flour.

Gluten-free batch

3 cups of butterscotch chips and 8 cups of gluten-free flour.

Required

Which batch has stronger butterscotch flavor

First, we need to determine the percentage of butterscotch in both flavors by using:

[tex]\% = \frac{Butterscotch}{Total} * 100\%[/tex]

For Regular:

[tex]\%= \frac{5}{5 + 16} * 100\%[/tex]

[tex]\%= \frac{5}{21} * 100\%[/tex]

[tex]\%= \frac{500\%}{21}[/tex]

[tex]\%= 23.81\%[/tex]

For Gluten-free

[tex]\% = \frac{3}{3 + 8} * 100\%[/tex]

[tex]\% = \frac{3}{11} * 100\%[/tex]

[tex]\% = \frac{300\%}{11}[/tex]

[tex]\% = 27.27\%[/tex]

Comparing both,

We can see that the percentage of butterscotch in gluten free batches is greater than that of regular batches

Hence:

The gluten-free has stronger flavor of butterscotch

Answer:

1,848m

Step-by-step explanation:

7x24x22= 3,696

Since it's a triangle, we split it into 2.

3,696÷2= 1,848

Therefore, your answer is 1,848.

Hope this helps!

47+47=94

125-94=31

She will have 31 dollars left

Answer:

The equation is y = (-4/5)x + 2/5.

Step-by-step explanation:

In a slope form equation, y = mx + b where m represents gradient/slope and b is the y-intercept. Given that the slope is -4/5 so you have to find the value of b by substituing the coordinates into the equation :

[tex]y = - \frac{4}{5} x + b[/tex]

[tex]let \: x = 3,y = - 2[/tex]

[tex] - 2 = - \frac{ 4}{5} ( 3) + b[/tex]

[tex] - 2 = - \frac{12}{5} + b[/tex]

[tex]b = - 2 + \frac{12}{5} [/tex]

[tex]b = \frac{2}{5} [/tex]

[tex]y = - \frac{4}{5} x + \frac{2}{5} [/tex]