12 points
Add 1.5 x 10^7 to 2.7 x 10^9.

Answer:

Step-by-step explanation:

The expression for the total distance covered.

k + (k + 8) + (k - 2)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Distance biked:

Jackson = k

Maria = k + 8

Peter = k - 2

Now,

The total distance biked.

= k + k + 8 + k - 2

= 3k + 6

= 3 (k + 2)

Thus,

The total distance covered is 3 (k + 2).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

the answer would be 12 and 8

Answer:

It will take 3.5 minutes to make 126 copies

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can do 126/36 to get our answer since 126 is the total copies and 36 is the copies we can do in a minute. 126/36 = 3.5 so it will take 3.5 minutes.

Answer:

20:36

Step-by-step explanation:

5 x 4 = 20

9 x 4 = 36

Final answer: 20:36

Answer:

-

Step-by-step explanation:

Answer: 26

Step-by-step explanation:

62-36=26

Answer: 26

You simply have to subtract 36 from 62

Answer:

If you're multiplying them: 34x * 30x = 1020x^2

If you're adding them: 34x + 30x = 64x

If you're subtracting them: 34x - 30x = 4x

Step-by-step explanation:

Answer:

5 X 6 = 30

12 X 10 = 120

120/30 = 4

answer is C quadrupled

Answer:

17 gallons

Step-by-step explanation:

First find how many miles it can travel with 1 gallon which would be 72÷6 = 12 So 1 gallon can takes it to 12 miles

Do 204÷ 12 = 17

Answer:

17 galloons

Step-by-step explanation:

72 Miles= 6 galloons

144 miles = 12 galloons

204 miles = 17 galloons

in every 12 miles is equivalent to 1 galloon of gas so basically when you divide 204 into 12 you will get 17. you need 17 galloons of gas

Answer:

1. 19/20

2. 8/45

3. 13/28

4. 4/3

5. 5/24

6. 49/30

7. 5/33

Fractions are integers that have both a numerator and a denominator. Fraction comes in the form: [tex]\frac{x}{y}[/tex]

where x = numerator and y = denominator.

a) 1/5 + 3/4

We find the Lowest common denominator (5, 4) = 20

Hence: 4 + (5 x 3) / 20

= 4 + 15 / 20

= 19/20

b) 7/9 - 3/5

We find the Lowest common denominator (5, 9) = 45

Hence: (7 x 5)  + (9 x 3) / 45

= 35 - 27 / 45

= 8/45

c) 6/8 - 2/7

We find the Lowest common denominator (7, 8) = 56

Hence: (6 x 7) - (2 x 8) / 56

= 42 - 16 /56

= 26/56

= 13/28

d) 5/6 + 5/10

We find the Lowest common denominator (6, 10) = 30

Hence: (5 x 5) + (5 x 3) / 30

= 25 + 15 / 30

= 40/30

= 4/3

= 1 1/3

e) 7/8 - 2/3

We find the Lowest common denominator (3, 8) = 24

Hence: (7 x 3) - (2 x 8) / 24

= 21 - 16 / 24

= 5/24

f) 8/10 + 5/6

We find the Lowest common denominator (6, 10) = 30

Hence: (8 x 3) + (5 x 5)

= 24 + 25 / 30

= 49/30

= 1 19/30

g) 9/11 - 2/3

We find the Lowest common denominator (3, 11) = 33

Hence: (9 x 3) - (11 x 2) / 33

= 27 - 22 / 33

= 5/33

To learn more, visit the link below:

https://brainly.com/question/2227210

Answer:

1. 3

2. 3

5. 3

6. 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. y = -17

2. x = 3

5. r = 3

6 y = 3

Answer:

(8, - 3 )

Step-by-step explanation:

Given the 2 equations

x - y = 11 → (1)

3x + 10y = - 6 → (2)

Multiplying (1) by 10 and adding to (2) will eliminate the y- term

10x - 10y = 110 → (3)

Add (2) and (3) term by term to eliminate y

13x + 0 = 104

13x = 104 ( divide both sides by 13 )

x = 8

Substitute x = 8 into either of the 2 equations and solve for y

Substituting into (2)

3(8) + 10y = - 6

24 + 10y = - 6 ( subtract 24 from both sides )

10y = - 30 ( divide both sides by 10 )

y = - 3

solution is (8, - 3 )

Answer:

8 2-point shots and 4 3-point shots

Step-by-step explanation:

Anthony scored 28 points with 12 baskets. Saying that, (with x-y representing 2 point shots-3 point shots) any combination with a supermajority (at least 75% of) of either shot is out. This leaves just 5 possible combinations. 8-4, 7-5, 6-6, 5-7, and 4-8. Multiply the first number by 2 and the second by 3.

(4 * 2) + (8 * 3) = 8 + 24 = 32 points, so no.

(5 * 2) + (7 * 3) = 10 + 21 = 31 points, so no.

(6 * 2) + (6 * 3) = 12 + 18 = 30 points, so no.

(7 * 2) + (5 * 3) = 14 + 15 = 29 points, so no as well.

(8 * 2) + (4 * 3) = 16 + 12 = 28 points, so this is the combination we're looking for.

Answer:

Guess its H2

Step-by-step explanation:

prove me wrong

Answer: H2O is the answer

Answer:

y = 55x + 15

Step-by-step explanation:

i think this is it, but it might not be right

Answer: See explanation

Step-by-step explanation:

We are going to use the formula used in calculating direct proportion which is equal to:

y = kx

where,

x = speed of a processor in GHz

y = the cost in pounds

Therefore, y = kx

500 = 2k

Therefore, y = 2k

Answer:

6

Step-by-step explanation:

Since the degree of the angle is 45, we know that the triangle is isosceles. That means that the sides of the triangle, not including the hypotenuse, has a length of 3√2.

Using the Pythagorean theorem, which is a^2 + b^2 = c^2, we have (3√2)^2 + (3√2)^2 = c^2.

Note: c is the hypotenuse of the triangle.

18 + 18 = c^2

= 36 = c^2

Therefore, c = 6.

Answer:

indian ocean

Step-by-step explanation:

Answer:

[tex] {(x - 4)}^{2} + 6[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 8x + 22 \\ \\ = {x}^{2} - 8x + 16 + 6 \\ \\ = {x}^{2} - 8x + {4}^{2} + 6 \\ \\ = {(x - 4)}^{2} + 6[/tex]

The completed square form of  x² - 8x + 22 = 0 is (x - 4)² = - 6.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, a quadratic equation x² - 8x + 22 = 0.

We know (a - b)² = a² - 2ab + b².

∴ x² - 8x + 22 = 0 is

(x)² -2(x)(4) + 4² + 6 = 0.

(x - 4)² = - 6.

learn more about quadrilaterals here :

https://brainly.com/question/17177510

#SPJ2

Answer:

12 ounces flour

Step-by-step explanation:

4 ounces 12 cup cakes

8 ounces 24 cup cakes

12 ounces 36 cup cakes

Answer:

2

-3

same thing

Step-by-step explanation:

Answer:

[tex]area \: of \: the \: circle \: = \: \pi {r}^{2} \\ so \\ \: 10 = \pi {r}^{2} \\ {r}^{2} = \frac{10}{\pi} \\ r = \sqrt{ \frac{10}{\pi} } \\ r = \frac{ \sqrt{10} }{ \sqrt{\pi} } \\ r = \frac{ \sqrt{10} \times \sqrt{\pi} }{ \sqrt{\pi} \times \sqrt{\pi} } \\ r = \frac{ \sqrt{10\pi} }{\pi} \\ since \: d \: = 2r \\ so \\ d = 2( \frac{ \sqrt{10\pi} }{\pi} ) \\ \\ d = \frac{2 \sqrt{10\pi} }{\pi} \\ since \: circumferenc \: = 2r\pi \\ so \: circumference = 2( \frac{ \sqrt{10\pi} }{\pi} )\pi \\ = 2( \sqrt{10\pi} ) \\ = 2 \sqrt{10\pi} [/tex]

Answer:

∠ 2 = 60°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles fro 180° for ∠ 2, that is

∠ 2 = 180° - (57 + 63)° = 180° - 120° = 60°

Answer:

10/27 cups

Step-by-step explanation:

y = how much flour is needed

set up proportion of water to flour equals water to flour

[tex]\frac{3/5}{2/3}[/tex] = [tex]\frac{1/3}{y}[/tex]

cross-multiply:  3/5 y = 2/9

multiply each side by the reciprocal of 3/5

5/3 · (3/5)y = 2/9 · (5/3)

y = 10/27

Answer: 10/27 cups flour.

Step-by-step explanation:

Compare fractions 3/5 and 1/3:

[tex]\dfrac{3}{5}=\dfrac{3 \times 3}{5 \times 3} =\dfrac{9}{15} \\\\ \dfrac{1}{3}=\dfrac{1 \times 5}{3 \times 5} =\dfrac{3}{15}\\\\\dfrac{3}{15} < \dfrac{9}{15}[/tex]

1/3 is less than 3/5 because 3/15 is less than 9/15.

Find how many times 1/3 is less than 3/5:

[tex]\dfrac{3}{5} \div \dfrac{1}{3} =\dfrac{3}{5} \times \dfrac{3}{1}=\dfrac{9}{5}[/tex]

This means that flour should also be taken 9/5 times less:

[tex]\dfrac{2}{3} \div \dfrac{9}{5} =\dfrac{2}{3} \times \dfrac{5}{9} =\dfrac{10}{27}[/tex]

Answer: boat

Step-by-step explanation: the farthest it can go is weeks