a number increased by 8 is equal to 48

Answer:

The range is {12, 4, -6} ⇒ D

Step-by-step explanation:

The range of the relation is the values of y corresponding to the values given for x which is the domain of the relation

∵ The relation is 12x + 6y = 24

∵ The domain of the function is {-4, 0, 5}

→ That means x = -4, 0, 5, we need to find their corresponding values of y

∴ Substitute the values of x in the relation

∵ x = -4

∴ 12(-4) + 6y = 24

∴ -48 + 6y = 24

→ Add 48 to both sides

∴ -48 + 48 + 6y = 24 + 48

∴ 6y = 72

→ Divide both sides by 6 to find y

∴ [tex]\frac{6y}{6}=\frac{72}{6}[/tex]

∴ y = 12

∵ x = 0

∴ 12(0) + 6y = 24

∴ 0 + 6y = 24

∴ 6y = 24

→ Divide both sides by 6 to find y

∴ [tex]\frac{6y}{6}=\frac{24}{6}[/tex]

∴ y = 4

∵ x = 5

∴ 12(5) + 6y = 24

∴ 60 + 6y = 24

→ Subtract 60 from both sides

∴ 60 - 60 + 6y = 24 - 60

∴ 6y = -36

→ Divide both sides by 6 to find y

∴ [tex]\frac{6y}{6}=\frac{-36}{6}[/tex]

∴ y = -6

∵ The range is the values of y which corresponding to the domain

∴ The range is {12, 4, -6}

The answer is down below have a good day!!!

Answer:

The answer is "[tex]\bold{\frac{1024}{3}}[/tex]".

Step-by-step explanation:

[tex]= \int\limits^{4}_{-4} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\ = 2 \int\limits^{4}_{0} \int\limits^{4}_{0} (16-x^2) dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} 16x -\frac{x^3}{3} dx \ dz \\\\= 2 (16x -\frac{x^3}{3})^4_{0} \ dz \\\\= 2 (4) (16x -\frac{64}{3}) \\\\=8(\frac{2}{3} \times 64) \\\\=(\frac{16\times 64}{3} ) \\\\= \frac{1024}{3}[/tex]

The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.

In this question we must use the triple integral formula in rectangular coordinates to determine the volume of the solid ([tex]V[/tex]):

[tex]V = \iiint dy\,dx\,dz[/tex] (1)

The solid is constrained by the following intervals:

[tex]y \in [x^{2}, 16][/tex], [tex]x \in [-4, 4][/tex], [tex]z\in [0, 4][/tex]

Then, the triple integral is now described:

[tex]V = \int\limits_{0}^{4}\int\limits_{-4}^{4}\int\limits_{x^{2}}^{16} dy\,dx\,dz[/tex]

Now we proceed to integrate thrice to obtain the volume:

[tex]V = \int \limits_{0}^{4}\int \limits_{-4}^{4} (16-x^{2})\,dx\,dz[/tex]

[tex]V = \int\limits_{0}^{4} \left(16\cdot x - \frac{x^{3}}{3}\right)\left|\limits_{-4}^{4} dz[/tex]

[tex]V = \frac{256}{3} \int\limits_{0}^{4} dz = \frac{1024}{3}[/tex]

The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.

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Answer:-7 I think

Step-by-step explanation:

The answers are shown below:

The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents.

Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 32. Here, the exponent is 2, and we call it a square. Now when the exponent is 1/2, it refers to the square root of the number. For example, √n = n^1/2, where n is a positive integer.

b) point D represent √27 ( 5.19)

c) point A represent √11 ( 3.316)

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the measurement should be 4

Answer: Number 3; $1250

Number 4; Salesperson A ($7428.30)

Number 5; 18%

Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.

Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;

I = P x R x T

I = 5000 x 0.05 x 5

I = 1250

Therefore Joanna will pay $1,250 as interest

(No 4) The amount made by both salespersons is shown as follows;

A = 11% x 67530

A = 0.11 x 67530

A = 7,428.30

B= 8% x 85740

B = 0.08 x 85740

B = 6,859.20

Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30

(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;

Percent paid = (entertainment/total income) x 100

Percent paid= (6840/38000) x 100

Percent paid = 684000/38000

Percent paid = 18

Therefore he paid 18% for entertainment

(6) Nora makes a total of 3000 a month broken down as follows;

Rent = (26/100) x 3000

Rent = 0.26 x 3000

Rent = 780

Food = (30/100) x 3000

Food = 0.30 x 3000

Food = 900

Medical = (15/100) x 3000

Medical = 0.15 x 3000

Medical = 450

Clothes = (10/100) x 300

Clothes = 0.10 x 3000

Clothes = 300

Miscellaneous = (19/100) x 3000

Miscellaneous = 0.19 x 3000

Miscellaneous = 570

Answer: Number 3; $1250

Number 4; Salesperson A ($7428.30)

Number 5; 18%

Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.

Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;

I = P x R x T

I = 5000 x 0.05 x 5

I = 1250

Therefore Joanna will pay $1,250 as interest

(No 4) The amount made by both salespersons is shown as follows;

A = 11% x 67530

A = 0.11 x 67530

A = 7,428.30

B= 8% x 85740

B = 0.08 x 85740

B = 6,859.20

Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30

(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;

Percent paid = (entertainment/total income) x 100

Percent paid= (6840/38000) x 100

Percent paid = 684000/38000

Percent paid = 18

Therefore he paid 18% for entertainment

(6) Nora makes a total of 3000 a month broken down as follows;

Rent = (26/100) x 3000

Rent = 0.26 x 3000

Rent = 780

Food = (30/100) x 3000

Food = 0.30 x 3000

Food = 900

Medical = (15/100) x 3000

Medical = 0.15 x 3000

Medical = 450

Clothes = (10/100) x 300

Clothes = 0.10 x 3000

Clothes = 300

Miscellaneous = (19/100) x 3000

Miscellaneous = 0.19 x 3000

Miscellaneous = 570

Answer:

You cant make this..

Step-by-step explanation:

The matching is as follows:

1. <4 and <6 ------> same- side interior angle

2. <5 and <6 ------> vertical angles

3. <2 and <6  ------> corresponding angle.

4. <4 and <5  ------> alternate interior angle

Properties of Parallel Lines

Now, from the figure

1. <4 and <6 shows the relationship of same- side interior angle

2. <5 and <6 shows the relation of vertical angles

3. <2 and <6 shows the relation of corresponding angle.

4. <4 and <5 shows the relation of alternate interior angle

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Answer: 33.33%

Step-by-step explanation:

Answer:

33.3333...%

Step-by-step explanation:

33 x 3 = 99.9999...

Answer:

You need to solve for x

Step-by-step explanation:

3x + 5 + 10x - 7 = 180

13x + 5 - 7 = 180

13x - 7 = 175

13x = 182

x = 14

Plug in x

3(14) + 5 for QRT and 10(14) - 7 for TRS

QRT = 47 and TRS = 133

Answer:

QRT = 47

TRS = 133

Step-by-step explanation:

The two angles form a straight line so they add to 180

3x+5 + 10x-7 = 180

13x-2 =180

Add 2 to each side

13x-2+2 =180+2

13x= 182

Divide by 13

13x/13 = 182/13

x =14

We want QRT = 3x+5 = 3*14+5 = 42+5 = 47

TRS = 10x-7 = 10*14-7 = 140-7 = 133

Answer:

first one: a,d,e

second one: d

Step-by-step explanation:

pemdas

Answer:

1.- A

2.- A

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer: 60 kilometers

Step-by-step explanation:

Plug in your hours:

y = 15(3) + 15

y = 45 + 15

y = 60 kilometers

Hope this helps!

Answer:

11.6 miles per gallon

Step-by-step explanation:

Answer:

11.6 miles per gallon

Step-by-step explanation:

just divide

Answer:

A

Step-by-step explanation:

not enough info

Answer: x = -1

Remove parentheses

Calculate

Move the terms

collect like terms, calculate.

divide both sides.

Answer: x = -1

3(x + 1) = -2(x-1) - 4 (Expand by distributing)

3x + 3 = -2x + 2 - 4 (Rearrange the terms so that the terms with a variable of x are on one side)

3x + 2x = 2 - 4 - 3 (Collect like terms)

5x = -5 (Divide both sides by 5 to isolate for x)

x = -1

∴ x = -1.

Step-by-step explanation:

Alternate interior angles :- 1 , 4

corresponding angles :- 3

same side interior angles :- 2 , 5 , 6

Answer:

1. 53°

2. 90°

3. 37°

4. 57°

5. 90°

6. 37°

7. 3

8. 4

9. 5

10. 3

11. 4

12. 5

Step-by-step explanation:

it's alot to explain, if you need an explanation for a certain one, just ask me lol

Step-by-step explanation:

you you can use two formulas here either pi d or 2 pi r so when you use pie d which change the radius to diameter by multiplying by two so in this case we will multiply 7 by 2 to get 14 then use the formula so is 22/7 * 14 to get 44

Answer:

ewhyfreu62

Step-by-step explanation:

Answer:

7⅓ cups of water

Step-by-step explanation:

Water-salt mixture ratio = ¾ cup of salt to 5½ cups of water (¾ : 5½)

To maintain this water to salt ratio, if you intend to use 1 cup of salt, the number of water you need to add can be calculated as follows:

¾ cup of salt : 5½ cups of water = 1 cup of salt : x cups of water

¾ : 5½ = 1 : x

[tex] \frac{\frac{3}{4}}{5\frac{1}{2}}. = \frac{1}{x} [/tex]

[tex] \frac{\frac{3}{4}}{\frac{11}{2}} = \frac{1}{x} [/tex]

[tex] \frac{3}{4}*{\frac{2}{11} = \frac{1}{x} [/tex]

[tex] \frac{3}{2}*{\frac{1}{11} = \frac{1}{x} [/tex]

[tex] \frac{3*1}{2*11} = \frac{1}{x} [/tex]

[tex] \frac{3}{22} = \frac{1}{x} [/tex]

Cross multiply

[tex] 3x = 22 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{22}{3} [/tex]

[tex] x = 7\frac{1}{3} [/tex]

Number of cups of water to add to 1 cup if salt is 7⅓ cups.

The given statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Here,

1) 4=4

Statement is true.

2) 5+1=6+1

6≠7

Statement is not true.

3) 3+2=5+0

5=5

Statement is true.

4) 6+2=4+4

8=8

Statement is true.

5) 3+3=6+2

6≠8

Statement is not true.

6) 9+0=7+2

9=9

Statement is true.

7) 8-8=0

0=0

Statement is true.

8) 6+3=5+4

9=9

Statement is true.

9) 3+3=6+2

6≠8

Statement is not true.

Therefore, the statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.

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Answer:

4,963.85

Step-by-step explanation:

Answer:

they aren't the same ratio

Step-by-step explanation:

ratio of 5:10 then 9:15

5/10 and 9/15

and that is simplified

2.5/5 and 3/5 so they aren't the same ratio

Answer:

Yeah

Step-by-step explanation:

Just swiss cheese ngl

Answer:

cheddar + turkey

Step-by-step explanation:

.........mmmm....mm..mm.mm.mm

Answer: B.1.50

Step-by-step explanation:

22.50 divided by 5 = 4.5

21.00 divided by 3.5 = 6.0

           6 - 4.5 = 1.50

This will tell us the differences in

  how much money they made.

Answer:

28

Step-by-step explanation:

35/5 ÷ -3/4

=7÷ (-3/4)

=7× (4/-3)

=(7×4)/-3

=- 28/3

the minus is already placed in the question, that makes the answer 28 without the minus