Which expressions are equivalent to the one below? Check all that apply.
5x
А. х5
B. 5.5x-1
C. 15*/3*
D. 5.5x+1
E.15x/3
F. (15/3)x

Answer:

\(x=\frac{7}{2} =3.5\\\\y=2\)

Step-by-step explanation:

The addition method (elimination method) allows us to combine two equations in such a way that the resulting equation has only one variable. Then we can use simple algebraic methods to solve that variable

Let:

\(4x-6y=2\hspace{10}(1)\\\\and\\\\2x-y=5\hspace{15}(2)\)

Let's multiply (2) by -2:

\(-2*(2):\\\\2x(-2)-y(-2)=5(-2)\\\\-4x+2y=-10\hspace{12}(-2*(2))\)

Now, add (1) and (-2*(2)):

\((1)+(-2*(2)):\\\\4x+(-4x)-6y+(2y)=2+(-10)\\\\-4y=-8\)

Hence, solving for y:

\(y=\frac{-8}{-4} =2\)

Replacing y into (2):

\(2x-(2)=5\)

Solving for x:

\(2x=5+2\\\\2x=7\\\\x=\frac{7}{2} =3.5\)

Therefore:

\(x=\frac{7}{2} =3.5\\\\y=2\)

Answer:

The answer is ∆XWY. The reason being both sides are congruent.

a) The equation of axis is the middle y-coordinate, which is y = -1.5.

b) The period is the amount of time it takes for the graph to repeat, which is 6.

c) The amplitude is the vertical distance from an extreme point to the midpoint, which is 3.

d) This is a cosine graph since when x=0, y is not equal to 0.

Answer:

2116.8 in^3

Step-by-step explanation:

V = l*w*h

All the units need to be the same

Convert 1.4 ft to inches

1.4 ft * 12 inches/ ft = 16.8 inches

V = 14 * 16.8  * 9

   = 2116.8 in^3

Answer:

Around 3:20 PM

Step-by-step explanation:

Answer:

62.1371192237

Step-by-step explanation:

Just remeber that one kilometer per hour is equal to 0.62 mph and that one mile per hour is equal to 1.60934 kilometers per hour.

The speed limit of a car on the highway is 62.1 miles/hour.

Given that;

While on a road trip to Canada, you rent a car and discover that the speed limit on the highway is 100km/hr.

We have to find the equivalent speed in miles/hour.

What is relation between miles and hour?

Relation between miles and hour is;

1 kilometer = 0.621 miles.

The speed limit of the car on the highway = 100 km/h

Since, 1 kilometer = 0.621 miles.

Hence,

100 kilometer/hour = 100 x 0.621 miles/hour

                             = 62.1 miles/ hour

So, The speed limit of a car on the highway is 62.1 miles/hour.

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it will be 2.4 gallons

Answer:

6 yard    (*3)    18 feet

6 feet     (/3)      2 yard

4 feet.    (*12)    48 inch

7 yard.    (*3)      21 feet

7 feet      (*12)    84 inch

2 yards   (*36)   72 inch

2 miles     (*5280)     10,560 feet

5 yards    (*36)     180 inch

35 is a reasonable prediction of the number of times he will select 2 yellow socks?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.

To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:

lim(x→-1) [f(x) - f(-1)] / (x - (-1))

First, let's substitute the values into the expression:

lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)

Simplifying further:

lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)

lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)

lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)

Now, we can directly substitute x = -1 into the expression:

\((-1^2 + 2(-1) + 1) / (-1 + 1)\)

(1 - 2 + 1) / (0)

0 / 0

We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.

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Answer:

400.

Step-by-step explanation:

50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.

Answer:

400

Step-by-step explanation:

just did the work

Answer:

commutative property of multiplication

Step-by-step explanation:

The commutative property of multiplication is correct. The commutative property of multiplication is basically arranging the numbers in any way and it won't change the product.

The associative property of multiplication is arranging the numbers in parenthesis and it won't change the product either.

The members of the given set in this problem are given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

The union and intersection sets of multiple sets are defined as follows:

The intersection of the sets Y and Z for this problem is given as follows:

Y ∩ Z = {0, 6, 23, 26}

(which are the elements that belong to both of the sets).

The union of the above set with the set X is given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

(elements that belong to at least one of the sets).

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Answer:

2. Half a lap, 0.5 or 1/2

3. 20/0.5 or 20/(1/2)

Step-by-step explanation:

Since it takes 40 seconds to skate 1 lap,

20 secs would be 20/40 laps, which is 1/2

Ratio is time/number of laps. So, 20/(1/2)

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

\(\frac{1}{10}\)

Step-by-step explanation:

Answer:

Here's what i know:

x + y = 23

3y / 20 =x

Here we can use substitution to help find our answer:

y + 3y/20 = 23

20y/20 + 3y/20 = 23

23y/20 = 23

23y = 23 * 20

y = 23 * 20 / 23

y = 20

x + 20 = 23

x = 3

Answer:

3 and 20

Step-by-step explanation:

We have 2 numbers, we will call them a and b.

We have: a = \(\frac{3}{20}\)b and a + b = 23

=> \(\frac{3}{20}\)b + b = 23

=> \(\frac{23b}{20}\) = 23

=> 23b = 460

=> b = 20

=> a = 3

Answer:

I think the perimeter of the diagram is 5 and if you round it like

If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right. (In the example above, the hundredths digit is a 4 , so you would get 51.0 .) To round a number to the nearest hundredth , look at the next place value to the right (the thousandths this time).

Answer:

b i think brainlest me plz

Step-by-step explanation:

Analyze problem

3 cars in 60 minutes

60 min= one hour

four hour = one hour times 4

3 times 4 = 12

12 cars

Answer:

a, b, c, or d

Step-by-step explanation:

one of them

Answer:

Step-by-step explanation:

A. Solution:

Since

5 : 2 = 15 : X

Then we know

2/5 = X/15

Multiplying both sides by 15 cancels on the right

15 × (2/5) = (X/15) × 15

15 × (2/5) = X

Then solving for X

X = 15 × (2/5)

X = 6

Therefore

5 : 2 = 15 : 6

B. Solution:

We can simplify the ratio 2 : 6 by dividing both terms by the greatest common factor (GCF).

The GCF of 2 and 6 is 2.

Divide both terms by 2.

2 ÷ 2 = 1

6 ÷ 2 = 3

Therefore:

2 : 6 = 1 : 3

C. Solution:

Since

2 : 10 = 20 : X

Then we know

10/2 = X/20

Multiplying both sides by 20 cancels on the right

20 × (10/2) = (X/20) × 20

20 × (10/2) = X

Then solving for X

X = 20 × (10/2)

X = 100

Therefore

2 : 10 = 20 : 100

D. Solution:

Since

12 : 4 = 3 : X

Then we know

4/12 = X/3

Multiplying both sides by 3 cancels on the right

3 × (4/12) = (X/3) × 3

3 × (4/12) = X

Then solving for X

X = 3 × (4/12)

X = 1

Therefore

12 : 4 = 3 : 1

E. Solution:

Since

33 : 21 = 11 : X

Then we know

21/33 = X/11

Multiplying both sides by 11 cancels on the right

11 × (21/33) = (X/11) × 11

11 × (21/33) = X

Then solving for X

X = 11 × (21/33)

X = 7

Therefore

33 : 21 = 11 : 7

F. Solution:

Since

21 : 9 = X : 3

Then we know

21/9 = X/3

Multiplying both sides by 3 cancels on the right

3 × (21/9) = (X/3) × 3

3 × (21/9) = X

Then solving for X

X = 3 × (21/9)

X = 7

Therefore

21 : 9 = 7 : 3

G. Solution:

We can simplify the ratio 32 : 12 by dividing both terms by the greatest common factor (GCF).

The GCF of 32 and 12 is 4.

Divide both terms by 4.

32 ÷ 4 = 8

12 ÷ 4 = 3

Therefore:

32 : 12 = 8 : 3

H. Solution:

Since

3 : 4 = X : 8

Then we know

3/4 = X/8

Multiplying both sides by 8 cancels on the right

8 × (3/4) = (X/8) × 8

8 × (3/4) = X

Then solving for X

X = 8 × (3/4)

X = 6

Therefore

3 : 4 = 6 : 8

I. The ratio is already in lowest terms so we found an equivalent ratio by multiplying both terms by 2

Therefore

5 : 2 = 10 : 4

J. Solution:

We can simplify the ratio 25 : 50 by dividing both terms by the greatest common factor (GCF).

The GCF of 25 and 50 is 25.

Divide both terms by 25.

25 ÷ 25 = 1

50 ÷ 25 = 2

Therefore:

25 : 50 = 1 : 2

K. Solution:

We can simplify the ratio 34 : 18 by dividing both terms by the greatest common factor (GCF).

The GCF of 34 and 18 is 2.

Divide both terms by 2.

34 ÷ 2 = 17

18 ÷ 2 = 9

Therefore:

34 : 18 = 17 : 9

I hope this answers your question.

Answer:

For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.

Step by Step:

Keep this in mind >>

Consider the unit circle > The sine and cosine ratios are the only ratios that have 1 (the radius or hypotenuse) as the denominator. The numerators (sides) vary between 0 and 1, thus determining that the sine and cosine do the same.

All of the other ratios (tangent, cotangent, secant, cosecant) have a side as the denominator, varying between 0 and 1. As any denominator approaches 0, the value of the ratio approaches infinity.

The value of cos ø, for the given coordinates (8, 6), is 4/5 in the lowest terms.

To find the value of cosine (cos) ø, we need the coordinates (8, 6) of a point on the unit circle.

The unit circle is a circle with a radius of 1, and the coordinates (8, 6) do not lie on the unit circle. However, we can use these coordinates to calculate the cosine value indirectly.

First, we need to find the hypotenuse (r) of the right triangle formed by the coordinates (8, 6). We can use the Pythagorean theorem:

r = √(8² + 6²) = √(64 + 36) = √100 = 10

Now, we can find the cosine value by dividing the adjacent side length (x-coordinate) by the hypotenuse:

cos ø = 8 / 10 = 4/5.

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Answer:

Animal cell

Step-by-step explanation:

Well, first off, it's round and has no cell wall like a plant cell does. There are also lysosomes and centrosomes, which a plant cell does not have.

Answer:

animal cell

Step-by-step explanation:

because it doesn't have a large vacuole a plant has a large vacuole and it doesnt have a cell wall like a plant cell

Terrance’s error is that he limits the solution of the equation to one ordered pair

The equation is given as

y - 4 = 1/2(x - 5)

The solution is given as

(5, 4)

The above solution is true

This is so because; when x = 5, the value of y is 4

i.e.

y - 4 = 1/2(5 - 5)

y - 4 = 0

y = 4

Next, we set x to another value (say x = 9)

So, we have

y - 4 = 1/2(5 - 9)

y - 4 = -2

y = 6

This means that the equation can have another solution

In this case, it is (9, 6)

Hence, one ordered pair cannot be the solution to the equation

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Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..