Which ratios are equal to each other?

A.1:16 and 2:8

B. 2:32 and 4:8

C. 1:64 and 4:16

D. 1:16 and 4: 64

To solve for r in the equation K = 8r - s, add s to both sides of the equation and divide both sides by 8, resulting in r = (K + s)/8.

To solve for r in the equation K = 8r - s, we need to isolate r.

We can start by adding s to both sides of the equation to get K + s = 8r.

Then, we divide both sides by 8 to solve for r.

The final equation is r = (K + s)/8.

Step-by-step explanation:

Combine like terms

a. -8p + (-9p) + (-2p) = -8p -9p -2p = (-8 - 9 - 2)p = -19p

b. -3jk + 5jk + (-6jk) = -3jk + 5jk - 6jk = (-3 + 5 - 6)jk = -4jk

Terms are called "like terms" if they have the same variable part (the same letters in the same powers). Like terms differ at most coefficient.

Answer:

a. –8p + (–9p) + (–2p)

Combine the coefficients of the like monomials.

[(–8) + (–9) + (–2) = –19]

Answer:  –19p

b. –3jk + 5jk + (–6jk)

Combine the coefficients the like of monomials.

[(–3) + 5 + (–6) = –4]

Answer: –4jk

Step-by-step explanation:

straight from Penn

Mistake in the Question:

The number 3 is not a fraction.

Answer:

Suppose if it is 3/8 then do the following:

Multiply

3

__ by an equivalent fraction that equals 1.

8

An equivalent fraction is equal to 1 such as 2 or 3

                                                                       __   __

                                                                        2     3

An equivalent fraction is the same as multiplying by 1 so the ratio does not change.

This fraction would be equal to a        where a is an integer.

                                                   __  = 1

                                                    a

Hence an example would be that

2     3        6

__ . __ =  __

2     8       16

Request: Please mark me as the brainliest.

x + 6 = 33 ---> is 6 more than x ^^

x = 27

Answer:

Step three is wrong because when you divide use the quotient rule which is in division the exponents are subtracted and in this problem the exponents are added

Answer:

Step 3.

Step-by-step explanation:

The given expression is

[tex](\frac{x^{-5}y^2}{yx^3\cdot x^3y^{-5}})^2[/tex]

Step 1: Using distributive property of exponent we get

[tex]\frac{(x^{-5})^2(y^2)^2}{(y)^2(x^3)^2\cdot (x^3y^{-5})^2}[/tex]      [tex][\because (ab)^x=a^xb^x][/tex]

[tex]\frac{x^{-10}y^4}{y^2x^6\cdot x^6y^{-10}}[/tex]

Ste 2: Using product property of exponent, we get

[tex]\frac{x^{-10}y^4}{y^{2-10}x^{6+6}}[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]\frac{x^{-10}y^4}{y^{-8}x^{12}}[/tex]

Step 3: Using quotient property of exponent, we get

[tex]x^{(-10-12)}y^{4-(-8)}[/tex]      [tex][\because \frac{a^m}{a^n}=a^{m-n}][/tex]

[tex]x^{(-22)}y^{12}[/tex]

Therefore, the first incorrect step is 3.

we'll start off by making the recurring decimal value to a variable, hmmm say "x", thus x = 9.268686868......

we'll next multiply that value by a power of 10 so that the recurring decimal part moves over to the left of the decimal point, the recurring decimals in this case are "68", but we need to bring the 2 in front along as well, so to move all those three fellows, we'll need 1000.

we'll next multiply the same value by a power of 10 that brings two of the recurring decimals over, so 1000 gives us one "68" over, we'll need "6868" over to the left, so we'll use 100000, let's proceed.

[tex]\bf x = 9.2\overline{68}\qquad \qquad \begin{array}{llll} 1000\cdot x&=&9268.\overline{68}\\\\ 100000\cdot x&=&926868.\overline{68} \end{array}~\hfill \begin{array}{rllll} \stackrel{100000x}{926868.\overline{68}}\\\\ -\stackrel{1000x}{9268.\overline{68}}\\ \cline{1-1}\\ 917600.00 \end{array} \\\\\\ 100000x-1000x = 917600\implies 99000x=917600 \\\\\\ x = \cfrac{917600}{99000}\implies x = \cfrac{4588}{495}[/tex]

Answer:

correct. the mean of 72 and 89 is 80?5

Step-by-step explanation:

find the mean to confirm it.

(a+b)/2

72+89= 161

161/2=80.5

Answer: C)- (2,3)

Answer on edge

Answer:

I dont think you need the answer anymore, the question is from ages ago

Step-by-step explanation:

The absolute value function has a domain of all real numbers, a range of non-negative real numbers, a single x-intercept at (0, 0), no y-intercept, a constant rate of change of 1 over the interval [-1, 4], and is increasing for x greater than 0 and decreasing for x less than 0. Overall, the graph is positive over the entire real number line.

1. Domain:

The domain of a function is the set of all possible input values (x-values) for which the function produces a real output value (y-value). In the case of the absolute value function, the output is always real, so the domain is all real numbers. Therefore, the domain is:

(x) ∈ (-∞, ∞)

2. Range:

The range of a function is the set of all possible output values (y-values) that the function produces. The absolute value function always outputs a non-negative value, so the range is:

(y) ∈ [0, ∞)

3. x-intercepts:

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. This happens when the output value (y) is zero. In the case of the absolute value function, the output is zero only when the input (x) is zero. Therefore, the x-intercept is:

(0, 0)

4. y-intercepts:

The y-intercept of a function is the point where the graph of the function crosses the y-axis. This happens when the input value (x) is zero. In the case of the absolute value function, the output is always non-negative, so there is no y-intercept.

5. Rate of change on |-1,4|:

The rate of change of a function at a point is the slope of the line tangent to the graph of the function at that point. The absolute value function is a piecewise function, so it has different slopes in different intervals. Over the interval |-1, 4| , the function is simply x + 1, so the rate of change is 1.

6. Intervals where the graph is increasing:

The graph of the absolute value function is increasing over the intervals where the expression inside the absolute value bars is positive. In other words, the graph is increasing when x > 0. Therefore, the interval where the graph is increasing is:

(x) ∈ (0, ∞)

7. Intervals where the graph is decreasing:

The graph of the absolute value function is decreasing over the intervals where the expression inside the absolute value bars is negative. In other words, the graph is decreasing when x < 0. Therefore, the interval where the graph is decreasing is:

(x) ∈ (-∞, 0)

8. Intervals where the graph is positive:

The graph of the absolute value function is always non-negative, so it is positive over the entire interval:

(x) ∈ (-∞, ∞)

Answer: Terminating decimal

Step-by-step explanation:

2 3/4 as a faction is 2.75

2.75 is a terminating decimal

Answer:

-7.

Step-by-step explanation:

2- + (2+7)

First work out the parentheses   ( by order of operations PEMDAS)

= 2 - + 9  

= 2 - 9    (as - + = -)

= -7.

Answer:2 hr 30 min

Step-by-step explanation:

Answer:

D) 2 hr 30 min

Step-by-step explanation:

The current time on the clock says 6:30 pm. Sherry's mom says that she must go to bed at 9:00 pm. Note that there are 60 minutes in an hour. Subtract:

9:00 pm = 8:60 pm

Subtract:

8:60 pm - 6:30 pm = 2:30

2 hours 30 minutes is your answer, or D).

~

Answer:

See explanation

Step-by-step explanation:

A dog owner observes that from birth to age 14 weeks, the puppy’s weight can be modelled by the equation

[tex]w = 365\cdot (1.23)^t \ (0\le t \le  14)[/tex]

In this equation,

When w=4,000, then

[tex]4,000=365\cdot (1.23)^t\\ \\(1.23)^t =\dfrac{4,000}{365}=\dfrac{800}{73}\\ \\t=\log_{1.23}\dfrac{800}{73}\approx 11.5651[/tex]

This means that puppy will weight 4,000 grams nearly at the middle between 11th week and 12th week.

Answer: x=58

Step-by-step explanation:

We know that the entire angle equals 360 degrees

Let’s subtract 293 from 360

360- 293 = 67

Then let’s subtract 44 from 67 to get (x-35)

67 - 44 = 23

We now know that 23 = (x - 35), so let’s write and solve the equation for it

23 = x-35

Add 35 on each side

X = 58

Answer: 21

Step-by-step explanation: 5*5=25-4=21

To find g(5), substitute the value of x as 5 in the function g(x) = x^2 - 4. Then, calculate the result to obtain g(5) = 21.

Given, the value of x is 5 and a function g(x) = x^2 - 4. To find g(5), we need to substitute the value of x as 5 in the function g(x) = x2 - 4.

So, on substituting the value of x, the answer becomes g(5) = 52 - 4. Here, 52 is the square of

On Calculating further, g(5) = 25 - 4 = 21.

Therefore, g(5) = 21. The answer obtained is 21.

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Answer:

6x^3(x+2)(x-7)

Step-by-step explanation:

1st step: factor out common term, 6x^3(x^2 - 5x - 14)

2nd step: Factor x^2 - 5x - 14, (x + 2)(x - 7)

3rd step: simplify, 6x^3(x+2)(x-7)

I am joyus to assist :)

3/8 multiplied by 4/5 forms the fraction 3/10

A fraction has numerator in top & denominator in bottom.

Given fractions are 3/8 & 4/5.

To multiply these two numbers, we have to multiply numerator of 3/8, i.e. 3 with numerator of 4/5, i.e. 4.

Also we have to multiply denominator of 3/8, i.e. 8 with denominator of 4/5, i.e. 5.

So, the new number be 3/8 × 4/5

                                     = (3×4)/(8×5)

                                     = 12/40 = 3/10

The required fraction is 3/10

Learn more about fraction here :

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Answer:

Step-by-step explanation:

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{b\cdot h}{2}[/tex]

b - base

h - height

We have b = 8cm, h = 10cm.

Substitute:

[tex]A=\dfrac{(8)(10)}{2}=\dfrac{80}{2}=40\ (cm^2)[/tex]

To finish the remainder of the 18-mile trail, it will take 3 hours and 41 minutes at a pace of 1 mile in 17 minutes.

To find out how many miles it will take to finish the trail, subtract the distance already covered from the total length of the trail. In this case, subtract 5 miles from 18 miles to get 13 miles remaining. Next, divide the remaining distance by the pace at which you walk, which is 1 mile in 17 minutes. So, if it takes 17 minutes to walk 1 mile, it will take 17 times 13 minutes to finish the rest of the trail. Finally, calculate the total time in minutes by multiplying: 17 times 13 equals 221 minutes, or 3 hours and 41 minutes to finish the trail.

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Answer:

Area = 28800 cm².

Step-by-step explanation:

Given  : If the perimeter of International Space Station Base, which is rectangular in shape, is 720 cm and its length is 120cm,

To find : find the area of the International Space Station Base.

Solution : We have given

Perimeter = 720 cm .

Length = 120 cm .

Perimeter = 2 ( length +  width ) .

Plugging the values

720 = 2 ( 120 + width )

On dividing both sides by 2

360 = 120 + width .

On subtracting both sides by 120.

240 cm =  width.

Area = length * width .

Area =  120 * 240  .

Area = 28800 cm².

Therefore, Area = 28800 cm².

Answer:

0.5

Step-by-step explanation:

Total computers in the shipment = 8

Number of computers with defects = 4

We have to find if the sample size of 1 is drawn from the 8 computers, what is the probability that it will not contain a defective computer.

Drawing a sample size of 1 is equivalent to selecting 1 computer on random. So, in short we have to find the probability of randomly selecting a computer which is not defective.

Since, out of 8 computers, 4 are defective, so, the remaining 4 will be without defects.

Probability is defined as ratio of favorable outcomes to total number of possible outcomes.

Possible outcome here is any of the 8 computers. So number of possible outcomes is 8.

Favorable outcome is selecting the computer without defect. So, number of favorable outcomes = 4

Thus, the probability of selecting a computer without defect = 4/8 = 0.5

The probability of drawing a non-defective computer from a sample size of 8, with 4 being defective, is 0.5 or 50%.

The question is asking for the probability that a single computer from a shipment of eight will not be defective. With 4 defective computers out of 8, we know that the other 4 are not defective. The total number of outcomes when drawing one computer is 8. We are interested in the events where the drawn computer is not defective. As there are 4 such computers, there are 4 successful outcomes.

So, to find the probability, we construct a ratio of successful outcomes (not defective computers) to total outcomes (all computers). That would be 4 over 8, or 0.5, meaning there is a 50% chance that if you draw one computer, it will not be defective.

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Answer: 1 , 2 , 4 , 7 , 8 , 14 , 28 , 56

Step-by-step explanation:

Answer:

1 , 2 , 4 , 7 , 8 , 14 , 28 , 56

Step-by-step explanation:

please mark me brainiest and like and rate 5 stars

answer:

10

Step-by-step explanation:

if u add 5+3+2 that will equal 10

Each litter contains 4 animals.

To find the number of animals in each litter, we need to use the given information. We know that the vet put 2 litters of kittens in a cage with 5 other kittens, so there are a total of 7 kittens in the first cage. In the second cage, there are 3 litters of puppies with 1 other puppy, so there are 4 puppies in the second cage. Since the cages now contain the same number of animals, we can set up an equation: 2 litters of kittens + 5 other kittens = 3 litters of puppies + 1 other puppy. Substituting the given numbers, we have 2x + 5 = 3x + 1, where x represents the number of animals in each litter. Solving this equation, we find that x = 4. Therefore, each litter contains 4 animals.

Answer:

15*10∧-5

Multiple 15 x 0,000001 = 0,000015.

Answer:

Apples

Step-by-step explanation:

Answer: Apples cost $1.20 per pound of apples.

Step-by-step explanation:

6/5 = 1.20 per pound of apples

4/5 = 0.80 per pound of bananas

5/4 = 1.25 per pound of peaches

9/6 = 1.50 per pound of kiwis

Answer: Second option.

Step-by-step explanation:

Given the function f(x):

[tex]f(x) = x^2 - 2x + 8[/tex]

Find [tex]f(x -2)[/tex]:

[tex]f(x -2)=(x-2)^2 - 2(x-2) + 8[/tex]

Remember that:

[tex](a\±b)^2=a^2\±2ab+b^2[/tex]

Then, simplifying:

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

So the function g(x) is:

[tex]g(x)=x^2-6x+16[/tex]

Use the following formula to find the x-coordinate of the vertex of g(x):

[tex]x=\frac{-b}{2a}[/tex]

In this case:

 [tex]a=1\\b=-6[/tex]

Then:

[tex]x=-\frac{-(-6)}{2(1)}=3[/tex]

Substitute this value into the function g(x) in order to find the y-coordinate of the vertex. Since [tex]g(x)=y[/tex], you get:

[tex]y=3^2-6(3)+16=7[/tex]

Therefore, the vertex of g(x) is:

[tex](3,7)[/tex]

Answer:

Second one

Step-by-step explanation:

Answer:

-110 = -2^1×5^1×11^1

Step-by-step explanation:

Factor the following integer:

-110

Hint: | Is 110 divisible by 2?

The last digit of 110 is 0, which means it is even. Therefore 110 is divisible by 2:

110 = 2 55:

-110 = -2×55

Hint: | Now try to factor 55. Is 55 divisible by 2?

55 is not divisible by 2 since 55 is odd and 2 is even:

-110 = -2×55 (55 is not divisible by 2)

Hint: | Is 55 divisible by 3?

The sum of the digits of 55 is 5 + 5 = 10, which is not divisible by 3. This means 55 is not divisible by 3:

-110 = -2×55 (55 is not divisible by 2 or 3)

Hint: | Is 55 divisible by 5?

The last digit of 55 is 5, which means 55 is divisible by 5:

55 = 5 11:

-110 = -2×5×11 (11 is not divisible by 2 or 3 since 55 is not)

Hint: | Now try to factor 11. Is 11 divisible by 5?

The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:

-110 = -2×5×11 (11 is not divisible by 2, 3 or 5)

Hint: | Is 11 divisible by 7?

Divide 7 into 11:

| | 1 | (quotient)

7 | 1 | 1 |  

- | | 7 |  

| | 4 | (remainder)

11 is not divisible by 7:

-110 = -2×5×11 (11 is not divisible by 2, 3, 5 or 7)

Hint: | Is 11 prime?

No primes less than 11 divide into it. Therefore 11 is prime:

-110 = -2×5×11

Hint: | Express -110 as a product of prime powers.

There is 1 copy of 2, 1 copy of 5 and 1 copy of 11 in the product:

Answer:  -110 = -2^1×5^1×11^1