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Answer:

n  =  6 ,  − 6

Step-by-step explanation:

Take the root of both sides and solve.

[tex]-\cfrac{1}{2}n^2+18=0\implies 18=\cfrac{1}{2}n^2\implies 18=\cfrac{n^2}{2}\implies 36=n^2 \\\\\\ \stackrel{\textit{taking }\sqrt{~~}\textit{ to both sides}}{\pm\sqrt{36}=\sqrt{n^2}}\implies \pm 6 = n[/tex]

Answer:

0.4

Step-by-step explanation:

2/5 converted into hundredths is 40/100.

40/100 as a decimal is 0.40, or 0.4

-hope it helps

Step-by-step explanation:

the slope is always the factor a of x in the form

y = ax + b

so let's transform the original equation into this form :

12(x - 6) = 4(y + 3)

12x - 72 = 4y + 12

12x - 84 = 4y

3x - 21 = y or y = 3x - 21

therefore, the slope is 3.

Answer:

5.164×10^-5

Step-by-step explanation:

[tex]5.164 \times {10}^{ - 5} [/tex]

Answer:

9

Step-by-step explanation:

To find this, first you must convert the percentage to a decimal. To do that, you must move the decimal point back two times.

22.5% --- 0.225

Then multiply the decimal by the number.

0.225 * 40 = 9

So, 22.5% of 40 is 9

Answer:

114.59155

Step-by-step explanation:

Answer:

Sorry i didn't know that

Answer: y

Step-by-step explanation:

Slope intercept form is written as

Y=mx+b, so you’d solve for the variable y

Answer:

tank 1 : 19 gallons

tank 2 : 42 gallons

Step-by-step explanation:

tank 1 : x

tank 2 : 2x+4 ( 4 more than twice the other )

x + ( 2x + 4 ) = 61

3x + 4 = 61 [ add x + 2x = 3x ]

3x = 57 [ subtract 4 on both sides ]

x = 19 [divide 3 on both sides ]

tank 1 : 19 gallons

tank 2 : 42 gallons

To solve this, we need to turn this word problem into a system of linear equations. To do this, let's use x to stand for Mr. Fontana's age, and y to stand for his son's age.

The first sentence states that eight years ago, Mr. Fontana was six times as old as his son.

eight years ago = x - 8

Fontana was six times as old as his son = 6(y - 8). Remember, we need subtract 8 from his son's age, which is why I wrote it as 6(y - 8), and his father was 6 times his son's age 8 years ago, which is why I multiplied 6 by y - 8.

Now, putting this all together gives us our first equation:

x - 8 = 6(y - 8)

We can now rewrite this equation in standard form:

x - 8 = 6y - 48 ----->

x - 6y = -48 + 8 ----->

x - 6y = -40 <----- this is our first linear equation

To find our second, we need to turn the second sentence into an equation. It says that in 12 years, Mr. Fontana will be twice as old as his son:

x + 12 = 2(y + 12)

Now, we need to rewrite this equation in standard form:

x + 12 = 2y + 24 ----->

x - 2y = 24 - 12 ----->

x - 2y = 12 <----- this is our second linear equation. We now have our system of equations:

x - 6y = -40

x - 2y = 12

Now we can find the father's age (x) and his son's age (y). First, multiply the second equation by -1, giving us:

x - 6y = -40

-x + 2y = -12

Now we can add both equations together:

x - x - 6y + 2y = -40 + -12 ----->

-4y = -52

Solve for y, by dividing both sides of the equation by -4, giving us:

y = 13

So, now we know the son's age: 13

To find the father's age, replace y in either the first equation or the second equation, with 13. Let's use the first equation:

x - 6(13) = -40 ----->

x - 78 = -40 ----->

x = 78 - 40 ----->

x = 38

Therefore, Mr. Fontana is 38 years old and his son is 13 years old.

Answer:

30

Step-by-step explanation:

sh well cm to cm et FL to

Answer:

what did you mean

Step-by-step explanation:

is not a question

Answer:

x = -2

Step-by-step explanation:

2x + 1 + 3 = 0

2x + 4 = 0

x = -2

Explanation :

________________________________

Factorizes:

⇒ a² + 8a + 16 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ a² + 4a + 4a + 16 = 0.

⇒ a(a + 4) + 4(a + 4) = 0.

⇒ (a + 4)(a + 4) = 0.

⇒ (a + 4)² = 0.

⇒a=-4.

Hence a=-4.

Answer:

x +2y = 2 ...... 1

7x + 10y = 2 ..... 2

x = 2 - 2y ..... 3

substitute 3 in 2

7(2 - 2y) + 10y = 2

14 - 14y + 10y = 2

14 - 4y = 2

- 4y = 2 - 14

- 4y = - 12

divide by - 4 on both sides

y = 3

substitute the value of y in 3

× = 2 - 2(3)

x = - 4

(x ; y )

(- 4 ; 3)

By finding the probability that the unit digit is even, we will see that the probability that the 5-digit number will be even is P = 4/9.

So we have a 5-digit number, let's say that it is:

abcde

Now, we have 5 "slots" where we can put numbers from 1 to 9 (without replacement).

We want to find the probability that the number will be even, so we only care for the last digit, e (it must be even).

Let's assume that the first digit at which we assign its value is this, e, the last one.

For this digit we have 9 options, {1, 2, 3, 4, 5, 6, 7, 8, 9}

4 of these options are even numbers.

So there are 4 out of 9 cases where the last digit is even, then the probability that the 5-digit number will be even is just:

P = 4/9

Now the other four digits can be anything (even or odd), so we only care for the probability above.

If you want to learn more about probability, you can read:

https://brainly.com/question/23044118

Answer:

[tex]I(-1,0) \to I \ ' \ (-0.25,0)\\\\J(-1,1) \to J \ ' \ (-0.25,0.25)\\\\K(2,2) \to K \ ' \ (0.5, 0.5)\\\\L(2,-1) \to L \ ' \ (0.5,-0.25)\\\\[/tex]

======================================================

Explanation:

The fraction 1/4 is equivalent to the decimal form 0.25

We multiply 0.25 with each coordinate, of each point.

For example, let's focus on point L which is at (2,-1)

Point L(2,-1) moves to L ' (0.5, -0.25) which will move it closer to the origin, which shrinks the image. Use this idea for the remaining points.

Note: this trick only works if the center of dilation is the origin.

Answer:

$8x + $12y = $120

Step-by-step explanation:

x = amount of juice

y = amount of pizza

$120 = his total money

Answer:

y=2x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-4=2(x-6)

y=2x-12+4

y=2x-8

Answer:

It is 1 unit to the right of 0.

Step-by-step explanation:

The number of fish in the bucket before Jasper feeds the dolphins was 12.

Since Jasper won the raffle at the zoo and gets to feed the dolphins, and the dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins, and each dolphin gets 3 fish, to find the number of fish F in the bucket Before Jasper feeds the dolphins, the following equation must be performed:

Therefore, the number of fish in the bucket before Jasper feeds the dolphins was 12.

Learn more about maths in https://brainly.com/question/25843658

Answer: The answer is B

Step-by-step explanation:

It's B because every pound is $14 and for C it looks similar, until you add another pound and then option B becomes $28 per 2 pounds and option C becomes $25 per 2 pounds. Therefore, the answer is B

Answer:

946 square Inches

Step-by-step explanation:

First, you should split up the shape into parts.

1st part 28x7

2nd part 30x25

We are multplying simply because

Area = Length x Width

Now that we have split up the parts lets multply them and add them togeher.

28 x 7 =  196

30 x 25 = 750

196 +750 = 946

So the area of this figure is 946 square inches.

Answer:

Try this on for size

Step-by-step explanation:

Answer:

Because if you didn't you would not know anything about the past.

Step-by-step explanation:

Yes