Show your work!! *grade 9 math work*

Answer:

x = 2

Step-by-step explanation:

x + 1/2 (6x - 4) = 6

Expand the brackets.

x + 3x - 2 = 6

Add like terms.

4x - 2 = 6

Add 2 on both sides.

4x = 6 + 2

4x = 8

Divide 4 into both sides.

x = 8/4

x = 2

Answer:

x=5/4

Step-by-step explanation:

Answer:

They are both correct.

Step-by-step explanation:

As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.

Hope this helped!

We will see that both Jared and Nicole are correct.

So we know that Jared found an equation:

y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.

We also know that Nicole found the equation:

x = y - 10

And she replaced x by y - 10 on the other equation, she is also correct.

Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

D:10

Step-by-step explanation:

find hyp. first

sin 45=opp/hyp.

√2/2=10/hyp.

hyp.=20/√2 0r 10√2

Pythagorean theorem: a²+b²=c²

now find x²=(10√2)²-10²

x²=200-100

x²=100

x=√100=10

Answer:

[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]

Step-by-step explanation:

According to the given situation, as we know that the triangle which is ADE and triangle which is ABC are the same

. (as in the diagram)

So, the ratio of their corresponding sides are the same or an equal so that it can be reached at the truth which is here below:

[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]

With the help of a diagram, we can better understand which has been attached.

The ratios  AD : DB  and  AE : EC  are equal.

Answer:

Step-by-step explanation:

Given that:

The demand for number 6 screws is fairly constant and  brother's hardware store sells 500 of these screws each day.

So;

The demand for number 6 screws =  500 screws /day

It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed.

Delivery time-frame  = 8 days

Lila believes that she can avoid stockouts completely if she only orders the number 6 screws at the correct time.

i.e Lila would want to have 8 days (delivery time-frame) × 500 screws /day

= 4000 screws

This implies that these 4000 screws will only last for 6 days.

Thus Lila ROP ( reorder point) will be to reorder for another set of  screw the day she receives the current shipment, this implies that after 8 days she would have sold the present 4000 screws and she will be expecting a new re-stock.

In this exercise, we have to use our knowledge of finance to calculate the number that should be replenished in the stock, in this way:

This implies that these 4000 screws will only last for 6 days.

The exercise statement states that:

With this information we can also say that:

Then, performing the calculation, we find:

[tex] 8 * 500 = 4000 screws[/tex]

See more about finances at brainly.com/question/10024737

Answer:

The answer is option B

Step-by-step explanation:

t^12/t^6

Use the rules of indices.

Since they have the same base and they are dividing we subtract the exponents.

That's

t^12 - 6

= t^6

Hope this helps you

Answer:

Option B is the right option.

Solution,

[tex] \frac{ {t}^{12} }{ {t}^{6} } \\ = {t}^{12 - 6} \\ = {t}^{6} [/tex]

Explanation:

To divide expression with same base, we copy the base and subtract the indices.

Hope this helps...

Good luck on your assignment..

Answer:

1:15 pm

Step-by-step explanation:

It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so

7:15 - 6 = 1:15

Answer:

Step-by-step explanation:

The deductible amount will be controlled constantly in which the asset is arranged.

Answer:

20 minutes.

Step-by-step explanation:

Since it takes 5 people to paint 5 walls 20 minutes, that means that it would take 1 person 20 minutes to paint 1 wall. That also means that 2 people would take 20 minutes to paint 2 walls. So, it would take 9 people 20 minutes to paint 9 walls.

Hope this helps!

Complete Question :

In golf, a score below zero is “under par” and a score above zero is “over par.”

Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone’s score on each hole?

A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.

B. He scored 3 under par on each of the first 14 holes and 2 under par on each of the next four holes.

C. He scored 3 under par on each of the first 14 holes and 4 over par on each of the next four holes.

D. He scored 3 under par on each of the first 14 holes and 4 under par on each of the next four holes.

Answer: A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.

Step-by-step explanation:

Given that :

a score below zero is “under par” and a score above zero is “over par.”

Same score on each of the first 14 holes

Total score on first 14 holes = - 42

Therefore, score on each hole = ( total score / number of holes)

= - 42/14 = - 3

Negative signifies that it is 'under par'

Score on each of the next four holes is also the same.

Therefore, total score on next four holes :

(final score - total score on first 14 holes)

(-34 - (-42))

(-34 + 42) = 8

Total score on next four holes = 8

Score on each hole = 8/4 = 2

Positive score means he scored over par

Answer:

a

Step-by-step explanation:

I did quiz

Answer:

its c

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

A store carries four brands of DVD​ players, J,​ G, P and S. From past​ records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four​ brands, find the probability that a random customer will choose brand J or brand P.

P(J)=0.22​, ​P(G)=0.18​, ​P(P)=0.35​, ​P(S)=0.25

Answer: Probability is the ration of possible outcomes to the total number of possible outcomes. The probability of mutually exclusive events i.e. events that cannot occur at the same time is the sum of their individual probabilities. If two events A and B are mutually exclusive events, then:

P(A or B) = P(A) + P(B)

Given that P(J)=0.22​, ​P(G)=0.18​, ​P(P)=0.35​, ​P(S)=0.25, the probability that a random customer will choose brand J or brand P is given by:

P(J or P) = P(J) + P(P) = 0.22 + 0.35 = 0.57

Answer:

60°

Step-by-step explanation:

30° + 90° = 120°

180° - 120° = 60°

180 is the sum of interior angels

Answer:

The answer is given below

Step-by-step explanation:

Let us assume the truck accelerates for 4 seconds.

Given that:

Initial velocity (u) = 0 (starts from rest),

acceleration (a) = 4 m/s²

time (t) = 4 s

Final velocity (v) = ?,

Distance (s) = ?

To calculate the final velocity, we use the formula:

v = u + at

Substituting values gives:

v = 0 + 4(4)

v = 0 + 16

v = 16 m/s

The final velocity is 16 m/s²

To calculate the distance traveled by the truck, we use the equation:

[tex]s=ut+\frac{1}{2}at^2\\ Substituting\ values\ into\ the\ equation:\\s=0(4)+\frac{1}{2}(4)(4)^2\\s=0+2(16)\\s=0+32\\s = 32\ meters[/tex]

The distance traveled by the truck during the time interval is 32 meters

Answer:

Step-by-step explanation:

10)a) Let the number = x

4x + 8 = 16

Subtract 8 form both sides

4x + 8 - 8 = 16 - 8

4x = 8

Divide both sides by 4

4x/4 = 8/4

x = 2

The number is 2

b) Let the number = x

4x - 8 = 6

Add 8 to both sides

4x - 8 + 8 = 6 + 8

4x = 14

Divide both sides by 4

4x/4 = 14/4

x = 3.5

The number is 3.5

11) a) Increase in cost = 105 - 100 = $ 5

b) Percentage increase = [tex]\frac{5}{100}*100[/tex]

                                       = 5%

12)  Number of girls = 35

Number of girls wearing glasses  = 15

Number of boys = 40

Number of boys wearing glasses  = 10

a) Percentage of boys wearing glasses = [tex]\frac{10}{40}*100\\[/tex]

                                                                 = 25%

b) Percentage of girls wearing glasses = [tex]\frac{15}{35}*100[/tex]

                                                                 = 42.86%

c) Total children = 35 +40 = 75

Total children wearing glasses = 15 + 10 = 25

Percentage of children wearing glasses = [tex]\frac{25}{75}*100[/tex]

                                                                        = 33.33%

Answer:  x=3

Step-by-step explanation:

5x+9 =24   subtract 9 from both sides

    -9    -9

5x = 15    Divide both sides by 5

x = 3

Answer:

[tex]5x = 24 - 9 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3[/tex]

Answer:

V = 960 cm ^3

Step-by-step explanation:

The volume is given by

V = Bh where B is the area of the base

B = 1/2 bh since the base is the triangle

B = 1/2 *12*8 =48

V = 48 * 20

V = 960 cm ^3

Answer:

960 cm^3

Step-by-step explanation:

volume of prism = (area of base) * (height of prism)

This is a triangular prism, so the base is a triangle.

area of base of prism = area of triangle = bh/2

The base of the triangle is 12 cm. The height of the triangle is 8 cm.

The height of the prism is 20 cm.

volume = (12 cm)(8 cm)/2 * 20 cm

volume = 960 cm^3

Answer:

24p = 72

Step-by-step explanation:

Let the number be p.

The product of p and 24 equals to 72.

p × 24 = 72

24p = 72

Answer:

24p = 72

Step-by-step explanation:

A

Answer:

56,735 people

Step-by-step explanation:

We can set up an equation to model this:

The equation for exponential decay is y = C(1 - r)^t, where C is the original amount, r is rate of change, and t is time.

We can plug in the corresponding values and solve:

y = 62500(1 - 0.016)^6

y = 62500(0.984)^6

y = (62500)(0.9077)

y = 56,734.94, which we can round to 56,735 people

Answer: [-12, 3, 2, -2]

Step-by-step explanation:

Multiply each corresponding integer by each other.

4 * -3 = -12

3 * 1 = 3

-1 * -2 = 2

-1 * 2 = -2

Step-by-step explanation:

It's not cos x^2

[tex]\cos^2x\neq\cos x^2[/tex]

----------------------------------------------

[tex]\cos x-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos x\cos x}{\cos x}-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos^2-\sin^2x}{\cos x}[/tex]

It's the same as

[tex]3-\dfrac{2}{3}=\dfrac{3\cdot3}{3}-\dfrac{2}{3}=\dfrac{3^2-2}{3}[/tex]

Answer:

Step-by-step explanation:

We khow that Mary invested 12000£ and the account pays 1.5 percent interest per year.

So we should khow what is the value of this 1.5 percent interst .

12000£⇒100 percent

x ⇒ 1.5 percent

so the value after 2 years is : 12000+360=12360

Answer:

x2

Step-by-step explanation:

In 5x, 5 is a constant and therefore if we double x we will double 5 too.

Answer:

Rectangle Y has a length of 6 and width of 4

Step-by-step explanation:

Just did it

Answer:

Not too sure, but I think it's D.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

A definition produces out of nothing a new mathematical entity. But a theorem utilizes some relation between previously defined mathematical entities.

Usually a theorem must be verified by a proof of its correctness on the basis of generally accepted statements or on the basis of previously established statements which might include other theorems.

Answer:

Originally there was 324 nuts in the bag.

Phillip took 108, Joy took 54, Brent took 81 and Preston took 10.

Step-by-step explanation:

Let's call the total amount of nuts N, and the number of nuts each child took by the initial of their name (Phillip will be P1 and Preston will be P2).

So we can write the following equations:

P1 = N/3

After removing N/3, the remaining nuts is (N - N/3):

J = (N - N/3)/4 = (2N/3)/4 = N/6

After removing N/6 from (N - N/3), the remaining nuts is (N - N/3 - N/6):

B = (N - N/3 - N/6)/2 = (N/2)/2 = N/4

P2 = 10

In the final there were 71 nuts remaining, so we have that:

N - N/3 - N/6 - N/4 - 10 = 71

N - N/3 - N/6 - N/4 = 81

N/4 = 81

N = 324 nuts

The amount of nuts took by each child is:

P1 = N/3 = 108 nuts

J = N/6 = 54 nuts

B = N/4 = 81 nuts

P2 = 10 nuts

Answer:

50 years

Step-by-step explanation:

the answer is 50 years bc 2% of 3000 is 60 and to get to 300 from 60 you would multiply by 50 to get 3000 added to the populationg colorado has now you get 6000.

brainliest pls