William and his puppy Rover are out for a morning jog at a comfortable pace of 10 minutes per mile. If they keep up this pace for 2 hours, how many miles will they jog?

Answer:

4/15

Step-by-step explanation:

total: 16 + 20 + 24 = 60

16 are blue

then:

the fraction of blue marbles:

16/60 = 4/15

Answer:

u can figure it out by using the formula 1/2 the base x height

Step-by-step explanation:

Answer:

to find the area of a triangle you will do A(area)=h(height)times b(base) over 2

Answer: If your doing the ratio of boys to girls, it would be 6:14. Simplified- 3:7

Step-by-step explanation:

The factors of 6-1,2,3,6

The factors of 14-1,2,12,14

The common factor of the two #’s is 2 so you would divide both of them by that number. 3 and 7 are prime numbers so you can’t simplify the ratio anymore.

Answer:

amount spend on groceries = 82.80

percent spend in groceries = 15%

let total paycheck be x

15%of x= 82.80

x=552

percent spend on bills = 132.48/552 = 24%

Step-by-step explanation:

Answer:

-45.

Step-by-step explanation:

I am assuming you mean

√25 - 2(3 +4(-2))^2

= 5 - 2(3-8)^2

= 5 - 2 * (-5)^2

= 5 - 2*25

= -45.

Answer:

2,500

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \displaystyle{ \star{ \: \: \underline{ \sf{given \: equation}}}}[/tex] :

[tex] \sf{3(2x + 1) - 2(x - 5) - 5(5 - 2x) = 16}[/tex]

Distribute 3 through the parentheses

[tex] \mapsto{\sf{6x + 3- 2(x - 5)- 5(5 -2x) = 16}}[/tex]

Distribute 2 through the parentheses

[tex] \mapsto{ \sf{6x + 3 - 2x + 10- 5(5 - 2x) = 16}}[/tex]

Distribute 5 through the parentheses

[tex] \mapsto{ \sf{6x + 3 - 2x + 10 - 25 + 10x = 16}}[/tex]

Combine ike terms and simplify it

Like terms are those which have the same base

[tex] \mapsto{ \sf{6x - 2x + 10x + 3 + 10 - 25 = 16}}[/tex]

[tex] \mapsto{ \sf{4x + 10x + 3 + 10 - 25 = 16}}[/tex]

[tex] \mapsto{ \sf{14x + 3 + 10 - 25 = 16}}[/tex]

Add the numbers : 3 and 5

[tex] \mapsto{ \sf{14x + 13 - 25 = 16}}[/tex]

The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \mapsto{ \sf{14x - 12 = 16}}[/tex]

Move 17 to right hand side and change it's sign

[tex] \mapsto{ \sf{14x = 16 + 12}}[/tex]

Add the numbers: 16 and 17

[tex] \mapsto{ \sf{14x = 28}}[/tex]

Divide both sides by 14

[tex] \mapsto{ \sf{ \frac{14x}{14} = \frac{28}{14}}} [/tex]

Calculate

[tex] \mapsto{ \boxed{ \sf{x = 2}}}[/tex]

The value of x is 2

Hope I helped!

Best regards!

~TheAnimeGirl

Answer:

Sqrt(7) is irrational because 7 is not a perfect square.

7.1234... is irrational because it is a nonterminating nonrepeating decimal.

Step-by-step explanation:

A rational number is a number that can be expressed in terms of fractions which result in terminating decimals, repeating decimals, or integer values.

An irrational number is a number that cannot be expressed in terms of fractions resulting in nonrepreating nonterminating decimals.

All options other than the two selected do not make sense.  Pi is irrational because it is a nonrepeating nonterminating decimal.

Cheers.

Answer:

x=2

Step-by-step explanation:

use distributive property for the first part the solve like usual

hope this helped

6(2x -3) - 8 = -2 (remove the parantheses)

12x - 18 - 8 = -2 (calculate)

12x - 26 = -2 (move the constant to the right)

12x = -2 + 26 (calculate)

12x = 24 (divide both sides)

x = 2

Answer:

c. 625.91

Step-by-step explanation:

took the quiz an got 100%

The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.

The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.

We have:

His card has a billing cycle of 30 days and an APR of 14.75%.

Here the list data is not mentioned, clearly. Transactions with the amount.

As we know, the APR is the annual percentage rate, which is 14.75%.

Monthly percentage rate = 14.75/12 = 1.22%

But we can calculate the new balance with the formula:

Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance

Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.

Learn more about the APR here:

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Answer:

see below

Step-by-step explanation:

given:

LCM(a,b) = 20160, a=60

find:

smallest possible value of b

solution;

60, b = 20,160

b = 20,160 / 60

b = 336

60 x 336 = 20,160

= 2⁶ x 3² x 5 x 7

= (2² x 3 x 5) x (2⁴ x 3 x 7)

= (60) x (336)

LCM(60,336) = 1680

consider the 2² x 3 to get the prime number:

= 336 x 12

= 4032

therefore,

LCM(60,4032) = 20160

The smallest possible value of b is 336.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We have been given that

LCM(a,b) = 20160 and  a = 60

We have to determine the smallest possible value of b

Since the product of two numbers equals the product of their HCF and LCM.

⇒ 60 × b = 20,160

⇒ b = 20,160 / 60

⇒ b = 336

⇒ 60 × 336 = 20,160

We need to write 20160 as the product of its prime factors, which is 20160.

⇒ 2⁶ × 3² × 5 × 7

⇒ (2² × 3 × 5) x (2⁴ × 3 × 7)

⇒ (60) × (336)

⇒ LCM(60,336) = 1680

Therefore, the smallest possible value of b is 336.

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Average Speed = Total Distance / Total Time

Total Distance = 150 m

Total Time = 160 - 120 = 40 s

Average Speed

Average Speed = 150/40

Average Speed = 3.75 m/s

3.75 m/s

Answer: True, False, False, True, False

Step-by-step explanation:

Since the two quadrilaterals are similar, for question A your answer of True is correct since EF would scale to be twice as long as AB. For the second question the reverse logic applies. For Question C EH is 16 units since 8x2 is 16. For the last question, since BCD does not corresponds to GFE, it is false. Angle BCD has a vertex at point C and GFE has a vertex at point F. Since C does not correspond to F, the angles are not the same.

Answer:

27 - 50k

Simplify

1. Distribute

-5 ( 1 + 2k ) - 8 ( -4 + 5k )

-5 - 10k - 8 ( -4 + 5k )

2. Distribute

-5 - 10k - 8 ( -4 + 5k )

-5 - 10k + 32 - 40k

3. Add the numbers

-5 - 10k + 32 - 40k

27 - 10k - 40k

4. Add the same term to both sides of the equation

27 - 10k - 40k

27 - 50k

Answer:

Step-by-step explanation:

C

The lines are have one solution and are consistent and Independent.

Gaining values for x and y allows us to determine whether the pair of linear equations is consistent or inconsistent. The system is consistent if x and y both have the same value. When there are no x and y values that fulfil both equations, the system becomes inconsistent.

Given:

y = 0.5x

2y = x + 4

Now solving the Above Equation

2(0.5x) = x+ 4

x = x+ 4

0 = 4

and, [tex]a_1= 0.5, b_1= -1, c_1= 0\\a_2= 1, b_2 = -2, c_ 2 = 4[/tex]

Now, [tex]a_1/ a_2 = b_1/ b_2\neq c_1/ c_2[/tex]

Then, the lines are have one solution and are consistent and Independent.

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Answer:

the answer is 20 because if you want to keep the ratio the same, you have to multiply 3 by 5 to get 15 right? and so 4 times 5 is 20. see if it works

Step-by-step explanation:

Answer:

440 I think haven't done these questions in a while.

Answer:

-5 > x

Step-by-step explanation:

-80>16x

Divide each side by 16

-80/16>16x/16

-5 > x

Answer:

2 quarts of 100% antifreeze.

Step-by-step explanation:

5 quarts/ .40 * x/ 1

.40x= 5

x=2

2 quarts of pure antifreeze must be added to 5 quarts of a 40​% antifreeze solution to obtain a 50​% antifreeze​ solution.

Looking at the concentrations.

100% of x quarts is x quarts of antifreeze.

30% of 5 quarts is .3(5) quarts antifreeze.

Adding that we have 5+x quarts and we want

50% of that to be antifreeze so the total is

.5(x + 5)

x + .3(5) = .5(5+x)

x + 1.5 = 2.5 + .5x

x - .5x = 2.5 - 1.5

.5x = 1

x = 1/.5 = 2 quarts pure antifreeze.

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Answer:

The first 3 is in the thousandths place. it is worth 3 thousand. The second 3 is in the tenths place. It is worth 30.

Answer: 3,435

Least place value to largest largest place value-

5-ones place

3-tens place

4-hundreds place

3-thousands place

I hope that worked!

Answer:

272

Step-by-step explanation:

Do you need this?

Answer:

272

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is greater than -4 on the number line but less than -2 on the number line. Therefore, the number is -3

hope I helped.

Answer:

6^-2 =0.02777777777

Step-by-step explanation:

Answer:

What we suppose to be answering?

Step-by-step explanation:

Answer:

478 hours

Step-by-step explanation:

You would divide 239,000 by 500.

Answer:

61.37

Step-by-step explanation:

this is i believe the correct answer but i could still be wrong cause x times x is x square but i am not so sure how much that really matters

take x as the width

x plus 10 as the length

2x plus 10 equals 7544 squared

so square root 7544 minus 10 divided by 2

note that it must be done all at once u cant do it seperately

x is 61.37 dont forget to add 10

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{height = 7.13 \: m}}}}}[/tex]

Step-by-step explanation:

Area of a triangle ( A ) = 9.45 m²

Base of a triangle ( b ) = 2.65

Height of a triangle ( h ) = ?

Finding the height of a triangle

[tex] \boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} bh}}[/tex]

[tex] \dashrightarrow{ \sf{9.45 = \frac{1}{2} \times 2.65 \times h}}[/tex]

[tex] \dashrightarrow{ \sf{9.45 = 1.325h}}[/tex]

[tex] \dashrightarrow{ \sf{1.325h = 9.45}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{1.325 \: h}{1.325} = \frac{9.45}{1.325}}} [/tex]

[tex] \dashrightarrow{ \sf{h = 7.13 \: m}}[/tex]

Hope I helped!

Best regards! :D