h= 1/2 gt2 Take a look at the figure. The distance h a body will move in free fall is expressed by the formula shown. If g = 980 centimeters per second2 and t = 20 seconds, what is the distance? A. 9,800 centimeters B. 368,000 centimeters C. 49,000 centimeters D. 196,000 centimeters

We have been given that

3x - y = 3 and

y = 2x + 2

Substitute y = 2x + 2 in the first equation, we get,

3x - (2x + 2) = 3

3x - 2x - 2 = 3

x - 2 = 3

x = 5

y = 2x + 2

= 2(5) + 2

= 12

Hence, the solution is (5, 12).

Answer:

B. (5,12)

Step-by-step explanation:

APEX

the answer for A is

7 1/2+8+6 3/4+5 1/2+6 1/4

the answer for B is

10.50 times 34/7 is equal to 51

2.

the answer for A is

9 hours, 50 minutes

the answer for B is

50.80

Chloe could wrap 7 presents

Answer:

The answer above me is CORRECT

Step-by-step explanation:

I took a test with this exact answer, here is a photo with proof that I took it and this is the answer to it.

Have a nice day/night/afternoon.

Maddie...

Solution :

We have to find all the possible solutions for the inequality [tex]2x+7<3x-5[/tex].

The given inequality can be solved as,

Subtracting 7 from both side , we get

[tex]2x+7-7 < 3x-5-7\\\\\Rightarrow 2x<3x-12[/tex]

Now, Subtracting 3x from both side, we get

[tex]2x-3x<3x-12-3x\\\Rightarrow -x <-12\\[/tex]

As we here we can see that both sides have similar sign, so we can cancel them out.

[tex]\Rightarrow x < 12[/tex]

Hence, the possible solution of the inequality  [tex]2x+7<3x-5[/tex] is [tex]x< 12[/tex]

Answer:

Step-by-step explanation:

the answer you are looking for is TRUE

you want to get that side so there is only the coefficient

*please mark as brainliest*

Answer: TRUE

Step-by-step explanation:

your correct answer is 4.27 so 4.27/22

h^2 = b^2+p^2

21^2 = 17^2+x^2

441 = 289 + x^2

441-289 = x^2

122 = x^2

square root of 122 is x.

therefore, x= 11.04536102.

Answer:  12.32 is the answer.

Step-by-step explanation: Using the pythagorean thereom we can solve this by using the formula A^2+B^2=C^2.

We substitute in the values,

17^2+B^2=21^2.

Now we simplify.

289+B^2=441

We subtract the 289 from both sides,

B^2=152                                                                                                                                                            

Now we use square root to find the answer.

12.32 is the answer.

Hope this helps!

a= 1+2b, b=1-6, c=2/3d. Hope this helps, I used D as a number in C you don't have to use d.

18 - (9 x 14) This equation represents the sentence.

hope that helps :)

Answer,

Explanation,

Step 1: Simplify both sides of the equation

24 − 3x = −27

24 + −3x = −27

−3x + 24 = −27

Step 2: Subtract 24 from both sides.

−3x + 24 − 24 = −27 − 24

−3x = −51

Step 3: Divide both sides by -3.

-3x/-3 = -51/-3

X = 17

Hope this helps :-)

Answer:

192

Step-by-step explanation:

4(48)=X

In order to find the amount of people per bus-  4p=192 or 192÷4=p

To find the amount of people total on the field trip-  48×4=t or [tex]\frac{t}{4}=48[/tex]

To find the number of buses used- 192÷48=b or [tex]\frac{192}{b} =48[/tex]

The answer is D the last one.

Answer: The amoun of the initial value was $1,289.

Step-by-step explanation:

1. To solve this problem you must apply the formula shown below:

[tex]A=Pe^{rt}[/tex]

Where:

- [tex]A[/tex] is the account balance ([tex]A=1,912.41[/tex]).

- [tex]P[/tex] is the principal.

- [tex]r[/tex] is the annual interest ([tex]r=0.0263[/tex]).

- [tex]t[/tex] is the time in years ([tex]t=15[/tex]).

- [tex]e[/tex]=2.7182

2. You must substitute the values into the formula and then you must solve for [tex]P[/tex], as following:

[tex]1,912.41=Pe^{(0.0263)(15)}\\1,912.41=1.48P\\P=\frac{1,912.41}{1.48}\\P=1,289[/tex]

Answer:

$ 1,289

Step-by-step explanation:

p= 1289

What graphs? There are none

You have to see if they are all moving up at a constant rate. You can check this by subtracting $17.40 from $21.75. It is $4.35. Then multiply $4.35 by 46. If it is not equal to $200.10, then it is not a proportional relationship. When you multiply it, you actually do get $200.1, which is equal to $200.10. So this is a proportional relationship.

4 x 9 = 36

9 x 4 = 36

36/9 = 4

36/4 = 9

The answer is 24d because you have to simplify d_c first then you have 24c x  d_c  and then c cancels itself out so the answer is 24d.

he should buy 11 sets of forks, hope this helped! <3

Your answer is 35

Hope this helps

Answer:  A

Step-by-step explanation:

Let us first observe behavior in only quadrant 1 .

On x-axis one small box represent one year.

On y-axis one small box represent  one dollar.

If we see the 1 year on x-axis its corresponding value of dollar on y -axis is in mid of 4 dollars and 5 dollars.

Now if we see the 2nd year on x-axis its corresponding value of dollar on y-axis is at 6 dollars .

It concluded that after each year 0.5 dollars per pound increases.

We can see the same behavior throughout the straight line.

The perimeter of the parallelogram is 8√2.

In order to find this, we need to find the length between any of the points. You'll notice that you can create a right triangle between each set of consecutive points. As a result, you can draw the legs and use the Pythagorean Theorem. In each case, the legs will equal 2. So we find the length of the side as

Leg^2 + Leg^2 = Side^2

2^2 + 2^2 = s^2

4 + 4 = s^2

8 = s^2

√8 = s

2√2 =s

Now to find the perimeter, we multiply this length by 4.

4 * 2√2 = 8√2

The perimeter of the parallelogram with vertices at (-2, 0), (0, -2), (2, 0), and (0, 2) is 8sqrt2 units.

In order to find the perimeter of the parallelogram with vertices at (-2, 0), (0, -2), (2, 0), and (0, 2), you firstly need to calculate the distances between the vertices to determine the lengths of the sides. The formula to find the distance between two points (x1, y1) and (x2, y2) on a graph is given by sqrt((x2-x1)² + (y2-y1)²). If we apply this formula to our coordinates, we find that the lengths of the sides of the parallelogram are sqrt((0-(-2))² + (-2-0)²)) = 2sqrt2 and sqrt((2-0)² + (0-(-2))²)) = 2sqrt2. Since a parallelogram has two pairs of equal sides, we know that the four sides will have the same length. Therefore, the perimeter of the parallelogram is 4 * 2sqrt2 = 8sqrt2 units.

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x - y = 15

2x + 8 = 3y - 4

Using the first equation, we can get an approximate value for x.

x = 15 + y

Now that we have a value for x, we can replace it in the second equation to find the value of y.

2(15 + y) +  8 = 3y - 4

Distributive property.

30 + 2y + 8 = 3y - 4

Combine like terms.

38 + 2y = 3y - 4

Subtract 2y from both sides.

38 = y - 4

Add 4 to both sides.

y = 42

Now that we have the value of y, we can find the value of x.

x - 42 = 15

Add 42 to both sides.

x = 57

Solution: The value of x after solving both components is [tex]2<x\leq11[/tex] or [tex](2,11][/tex].

Explanation:

From the first component it is clearly noticed that the value of x is greater than 2.

Simplify the second component.

[tex]x-1\leq 10\\x\leq 11[/tex]

From the above inequality it is clearly noticed that the value of x is less than or equal to  11.

Solving both components we get [tex]2<x\leq11[/tex] and the graphical representation is shown in the figure.

The red portion shows the solutions of [tex]x>2[/tex], blue portion shows the solution of [tex]x-1\leq 10[/tex] and purple portion which combination of red and blue portion shows the solution of both inequalities.

Therefore, value of x after solving both components is [tex]2<x\leq11[/tex] or [tex](2,11][/tex].

C. 4:5=32:40 is your answer

Treat each ratio like fractions. Note the equal sign. This means that, when each fraction is simplified, they would be the same.

4/5 = 4/5

(32/40)/(8/8) = 4/5

4/5 = 4/5

∴ (C) is your answer

~Rise Above the Ordinary, Senpai

The question presents a basic algebraic problem. We translate the words into a mathematical equation, 4x + 7 = 5. After some simple manipulations (subtracting 7 from both sides and dividing the result by 4), we find that the value of x is -0.5.

The question presents a typical example of a simple equation in Mathematics. The first step in solving this problem involves interpretation. The statement 'The sum of 4 times a number and 7 is equal to 5' can be translated into this equation: 4x + 7 = 5. To obtain the value of x, we need to isolate it on one side of the equation.

We can proceed by subtracting 7 from both sides
to achieve 4x = -2. Finally, we divide both sides of the equation by 4 to obtain x = -0.5. Thus, the number in question is -0.5.

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Answer:

D. 300/3 = 100

Step-by-step explanation:

He needs to divide the number by 3 since he is placing 3 erasers in each bag. He needs to divide 280 by 3. 280 divided by 3 is not a choice. The closest choice is 300/3, so that is the correct answer.

3/8 is the right answer to that question

The answer to 3/4*1/2 is

0.375

The absolute-value equation representing the temperature variation in Leticia's apartment is |T - 68| = 3.5. Solving this, we have two possible temperatures: T = 71.5 (maximum) and T = 64.5 (minimum).

The topic of this Mathematics question is absolute value equations. We want to find the minimum and maximum temperatures in Leticia's apartment which can vary from the set thermostat level by 3.5 degrees. The absolute-value equation that can be used to represent this is:

|T - 68| = 3.5

'T' represents the actual temperature.

To solve the equation, we need to consider two situations. When the inside part of the absolute value, (T - 68), is positive or equals to zero, we just drop the absolute symbol, resulting in T - 68 = 3.5. Solving this, we get T = 71.5.

If the inside part of the absolute value, (T - 68), is negative, we have T - 68 = -3.5. Solving this, we get T = 64.5.

So, the maximum temperature is 71.5 degrees and the minimum is 64.5 degrees.

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[tex]x^2-?+34=(x-(5+3i))(x-(5-3i))\\\\x^2-?+34=(x-5-3i)(x-5+3i)\\\\x^2-?+34=(x-5)^2+9\\\\x^2-?+34=x^2-10x+25+9\\\\x^2-?+34=x^2-10x+34\\\\\boxed{?=-10x}[/tex]

Answer:

Actually is 10x

Step-by-step explanation:

-10x gives you -5±3i