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Answer:

12y + 120

Step-by-step explanation:

First of, what is the distributive property?

The distributive property is the property that helps distribute numbers under the parenthesis.

For example, lets use {x+1}4. You distribute the 4 towards the x and the one like this:

4(x) + 1(4)

4x + 4

Now, let's go back to your problem

Solution:

{y+10}12

12(y) +12(10)

= 12y + 120

Hope this helps! Make sure to give me the brainliest answer since it would be greatly appreciated! Thank You!

The coordinates of U, the endpoint of the segment, can be found by using the midpoint formula. The x-coordinate of U is (-7 + 5) / 2 = -1, and the y-coordinate is (2 + (-8)) / 2 = -3. Thus, the coordinates of U are (-1, -3).

The coordinates of the midpoint O are given as (5, -8). To find the coordinates of the endpoint U, we can use the midpoint formula. The x-coordinate of the midpoint can be found by taking the average of the x-coordinates of the endpoints, and the y-coordinate can be found by taking the average of the y-coordinates. So, the x-coordinate of U is (-7 + 5) / 2 = -1, and the y-coordinate is (2 + (-8)) / 2 = -3. Therefore, the coordinates of U are (-1, -3).

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Answer:

9 miles

Step-by-step explanation:

A 6+3 is nine

Answer:

3/8, 1/2, 3/4, 7/8

Step-by-step explanation:

If you turn them into decimals it makes it clearer if not

To order the fractions (7/8, 1/2, 3/8, and 3/4) from least to greatest, they are first expressed with a common denominator and then arranged accordingly, resulting in the order being 3/8, 1/2, 3/4, and 7/8.

The question involves ordering the fractions 7/8, 1/2, 3/8, and 3/4 from least to greatest. To compare these fractions easily, they should be converted to have a common denominator. The least common denominator for 8, 2, and 4 is 8. Thus, the fractions become 7/8, 4/8 (1/2), 3/8, and 6/8 (3/4).

3/8

4/8 (1/2)

6/8 (3/4)

7/8

Therefore, the numbers ordered from least to greatest are 3/8, 1/2, 3/4, and 7/8.

Answer:

x=10

Step-by-step explanation:

13-4=9

For it to be bigger than 13, it has to be one more than 9 which is 10.

Answer:

Step-by-step explanation:they are even

More friends like berry than vanilla now because 3 friends chose berry and there is no mention of any friends choosing vanilla.

To determine whether more friends like berry or vanilla now, let's break down the information provided. Hara asked 5 friends, out of whom 3 chose berry and 2 chose lime. The key here is to note that there is no mention of any friends choosing vanilla. Therefore, based on the new information:

Since 3 friends chose berry, and no friends chose vanilla, more friends like berry than vanilla now. This comparison clearly shows that berry is the favorite among the provided options.

Answer:

number= n

6/2n

i think this is how you do it

Answer:

the correct answer is 6/2*x

6 hours

Hope this helped

Answer:

6 hours

Step-by-step explanation:

She can make 15 necklaces in 2 hours. Which means, in another 2 hours, she's going to make another 15 necklaces. So in 2+2 hours, she would be making 15+15 necklaces.

That is, in 4 hours, she would be making 30 necklaces.

And in another 2 hours, another 15 necklaces would be made.

In 4+2 hours, she would have made a total of 30+15 necklaces. Which means, in 6 hours, she would make 45 necklaces.

Another way to get this is:

If she makes 15 necklaces in 2 hours.

Then 45/15 gives 3.

Multiply the 3 to 2 gives 6 hours.

Answer:

2 per minute

Step-by-step explanation:

Peter's pickle packing rate in ounces per minute is found by converting pints to ounces. By multiplying the 32 pints he packs in a minute by 16 ounces per pint, it is determined that Peter packs 512 ounces of pickles per minute.

Peter's pickle packing rate needs to be converted from pints to ounces to find how much he packs in ounces per minute. Since there are 16 ounces in a pint, we can find Peter's rate in ounces by multiplying the number of pints by 16.

Here are the calculation steps:

Identify the number of pints Peter packs in a minute, which is 32 pints.

Multiply the number of pints by the number of ounces in a pint. Since there are 16 ounces in a pint, the calculation is 32 pints * 16 ounces/pint.

Calculate the total to find Peter packs 512 ounces of pickles in a minute.

Therefore, Peter packs 512 ounces of pickles per minute.

Answer:

60.5

Step-by-step explanation:

All you need to do is divide 121 and 2. When you do so you world get 60.5.

To check, 60.5 times 2 is 121.

Hope this helped!

Answer:

Do you mean 11*11=121

Step-by-step explanation:

11 multiplied by 11

10 bags of fertilizer

Answer:

GCF is [tex]9x^2y[/tex]

Step-by-step explanation:

When the GCF or the greatest common factor of the expression is required to be found, then take the common terms, and write the expression in the factor form first.

Now, here we have to find the factor of the expression:

[tex]6x^4y^3\cdot 21x^2y^2-9x^2y\\[/tex]

which can be re-written as:

[tex]6x^4y^3\cdot 21x^2y^2-9x^2y\\=126x^6y^5-9x^2y[/tex]

Now, this is further written as:

[tex]126x^6y^5-9x^2y\\=14\cdot \:9x^2x^4yy^4-9x^2y\\[/tex]

Here taking the term [tex]9x^2y[/tex] common, we will get:

[tex]14\cdot \:9x^2x^4yy^4-9x^2y\\=9x^2y\left(14x^4y^4-1\right)\\[/tex]

So we have the expression:

[tex]6x^4y^3\cdot 21x^2y^2-9x^2y= 9x^2y\left(14x^4y^4-1\right)\\[/tex]

So the GCF or the greatest common factor is  

[tex]9x^2y[/tex]

Answer:

10x^2 - 11x - 6

Step-by-step explanation:

(5x+2)(2x-3)

= 10x^2 - 15x + 4x - 6

= 10x^2 - 11x - 6

Answer:

(5x+2)(2x-3)=5x(2x-3)+2(2x-3)=5x*2x-5x*3+2*2x-2*3=10x^2-15x+4x-6=

10x^2-11x-6

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

60=12*5

x is y times as great as k means that  x=k*y

Answer: 2/5>1/3

Step-by-step explanation: To make this easier, convert both to fifteenths.

To do this for 2/5, divide 15 by 5 to get 3. Now multiply both 2 and 5 by 3. This should get you 6/15.

To convert 1/3, divide 15 by 3 to get 5. Now multiply both 1 and 3 by 5. This should get you 5/15.

6/15>5/15 so 2/5>1/3.

Answer: 16 Rows

Step-by-step explanation: 48*10= 480, meaning there is 480 people that will be attending. If each row has 30 chairs you divide 480/30 which equals 16. If you multiply 16 times 30 you will get 480 (to check your answer)

Answer:

16 rows

Step-by-step explanation:

There are 48 members in the choir .

Each member expects to have 10 people in the audience.

That’s

48 x 10 = 480 people

There will be 480 people in the audience.

If each row has 30 chairs in it

Number of rows to accommodate 480 people will be 480 divided by the number of seats in one row

That’s

= 480/30

= 16 rows

16 rows of chair will need to be set up

Answer:

63/10 = 6 3/10 miles

Step-by-step explanation

There are 63/10 or 6 3/10 or 6.3 miles Dasha runs 9 laps around the lake if one lap around the lake is 7/10 miles.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

One lap around the lake is 7/10 miles.

Let x be the number of miles in 9 laps

x = 9(7/10)

x = 63/10 miles

Or

x = 6.3 miles

Thus, there are 63/10 or 6 3/10 or 6.3 miles Dasha runs 9 laps around the lake if one lap around the lake is 7/10 miles.

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Answer:70

Step-by-step explanation:since 28b is 40% of 28,divide 100 by 48 because 100 is the whole and you need to find how to get the whole,100 divide by 48 is 2.083 then you multiply it to 28 to get 70.

Answer:

70

Step-by-step explanation:

hope its helpful....

Answer:-22

Step-by-step explanation:

5 times -3 equals -15, and the combine it with -7 to get -22

Answer:

y = -22

Step-by-step explanation:

y=5x-7

Let x=-3 and substitute it into the equation

y = 5(-3) -7

Multiply

y = -15-7

y = -22

Answer:

2 3/6 feet of cookie dough

Step-by-step explanation:

Final answer:

To make 15 cookies, 2.5 feet of cookie dough is needed.

Explanation:

To find how many feet of cookie dough is needed to make 15 cookies, we can set up a proportion using the given information. The ratio 1/6 represents the amount of cookie dough needed to make 1 cookie. We can set up the proportion:

1/6 = x/15

To solve for x, we can cross multiply:

15 * 1 = 6 * x

Simplifying the equation gives:

15 = 6x

To isolate x, we can divide both sides of the equation by 6:

x = 15/6 = 2.5 feet of cookie dough

Therefore, 2.5 feet of cookie dough is needed to make 15 cookies.

Answer: 60 feet

Step-by-step explanation:

50+10=60

Answer:

- 14 + 18i

Step-by-step explanation:

Note that i² = ([tex]\sqrt{-1}[/tex] )² = - 1

Given

4i(- i + 3) - 3(6 - 21) ← distribute both parenthesis

= - 4i² + 12i - 18 + 6i

= - 4(- 1) - 18 + 18i

= 4 - 18 + 18i

= - 14 + 18i

The indicated operation of 4i(-i + 3) - 3(6 - 2i) in the form a + bi is -14 + 18i.

To perform the indicated operation and write the result in the form a + bi, we have to distribute and combine like terms carefully.

Starting with 4i(-i + 3), we distribute 4i:

4i * (-i) = -4i^2 = 4 (since i^2 = -1)

4i * 3 = 12i

This gives us 4 + 12i.

Now addressing the second part, -3(6 - 2i), we also distribute:

-3 * 6 = -18

-3 * (-2i) = 6i

This results in -18 + 6i.

Combining both parts (4 + 12i and -18 + 6i):

(4 + 12i) + (-18 + 6i) = (4 - 18) + (12i + 6i)

= -14 + 18i

Answer: -8 -7 -6 -5

Step-by-step explanation:

The four consecutive integers just greater than -9 are -8 -7 -6 -5

Answer:

-8, -7, -6, -5

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

bjkbj

Answer:

B

Step-by-step explanation:

Congruent angles are angles that have the same measure. This is the primary condition that they satisfy. The sum of their measures being 90° or sharing a vertex and a side don’t necessarily define congruent angles.

In the field of Mathematics, particularly in geometry, congruent angles are those which satisfy the condition of having the same angle measure. This implies that their measures, when compared, are equal. The other options you mentioned, like the sum of their measures being 90° or sharing a vertex and a side, don’t necessarily apply to all congruent angles. For instance, for two angles to sum to 90°, they would be complementary, not necessarily congruent.

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Answer:

Rs. 4,444

Step-by-step explanation:

Let her pocket money be represented as A

She spent 25% of A on her clothes and 11% on shoes and then saved Rs. 1600

Total percentage spent = 25 + 11 = 36%

So, she spent 36% of A and was left with Rs. 1600

This can be represented by the equation below

36% of A = 1600

36/100 x A = 1600

0.36 x A = 1600

Divide both sides by 0.36

0.36/0.36 A = 1600/0.36

A = 4444.44

A = Rs. 4,444

Her pocket money was approximately Rs. 4,444

Suvita's total pocket money is calculated by representing her total pocket money as variable x, relating it to the known percentages and the saved amount, and solving for x, which is found to be Rs. 2500.

Suvita spent a certain percentage of her pocket money on clothes and shoes, and saved a specific amount. Given that she spent 25% on clothes, 11% on shoes, and saved Rs. 1600, we want to find her total pocket money. To do this, we can represent the total pocket money as x. The amount spent on clothes is 0.25x, and on shoes is 0.11x. The saved amount is known, which is Rs. 1600.

We know that the total pocket money is the sum of money spent on clothes, shoes, and savings. Therefore, x = 0.25x + 0.11x + 1600. Simplifying, we combine like terms to find the total percentage spent: 0.25 + 0.11 = 0.36. So, x = 0.36x + 1600. Subtract 0.36x from both sides to get 0.64x = 1600. To find x, we divide both sides by 0.64, which gives us x = 1600 / 0.64.

After calculating the division, we discover that Suvita's total pocket money is Rs. 2500. Therefore, she had Rs. 2500, out of which she spent 25% on clothes, 11% on shoes, and saved Rs. 1600.

Option C:

The product of 3 - 4i and -6 + i is -14 + 27i.

Solution:

Given complex numbers are 3 - 4i and -6 + i.

To find the product of these numbers.

Product of 3 - 4i and -6 + i

            [tex]=(3 - 4i)(-6 + i)[/tex]

Multiply each term of first number with each term of second number.

            [tex]=3 (-6 + i)-4i(-6+i)[/tex]  

            [tex]=3 (-6) + 3i -4i (-6)-4i^2[/tex]

Since the value of i² = -1

            [tex]=-18+ 3i +24i-4(-1)[/tex]

            [tex]=-18+27i+4[/tex]

            [tex]=-14+27i[/tex]

The product of 3 - 4i and -6 + i is -14 + 27i.

Option C is the correct answer.

Here we just want to find the product of two complex numbers, we will see that the solution is -14 + 27i

Remember that the complex number i has the property:

i^2 = -1

Now we want to perform the multiplication between 3 - 4i and -6 + i

Then we have:

(3 - 4i)*(-6 + i) = -18 + 3i + (4i)*6 - (4i)*i = -18 + 27i + 4 = -14 + 27i

So the correct option is C.

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Answer:

Step-by-step explanation:

"The equation of the cross-sectional parabola of the dome is [tex]\( y = -\frac{1}{800}x^2 + 50 \).[/tex]

To find the equation of the cross-sectional parabola of the dome, we can use the standard form of a parabola, which is[tex]\( y = ax^2 + bx + c \).[/tex]Since the parabola is symmetric and the vertex is at the origin (0,50), the equation simplifies to [tex]\( y = ax^2 + c \),[/tex]where determines the width of the parabola and \is the maximum height of the dome.

Given that the maximum height of the dome is 50 feet, we have[tex]\( c = 50 \)[/tex]. The diameter of the dome is 2002 feet, so the radius is half of that, which is 1001 feet. The radius corresponds to the x-coordinate at the base of the dome where the height \ is 0.

Using the point (1001, 0) and the vertex (0, 50), we can set up the equation [tex]\( 0 = a(1001)^2 + 50 \).[/tex] Solving for [tex]\( a \)[/tex]gives us:

[tex]\[ 0 = a(1001)^2 + 50 \] \[ -50 = a(1001)^2 \] \[ a = -\frac{50}{(1001)^2} \] \[ a = -\frac{50}{1002001} \] \[ a \approx -\frac{1}{20040} \][/tex]

For simplicity, we can round [tex]\( a \) to \( -\frac{1}{2000} \)[/tex]or even more simply to [tex]\( -\frac{1}{800} \)[/tex] to make the calculations easier without significantly changing the shape of the parabola for practical purposes.

Thus, the equation of the cross-sectional parabola of the dome is:

[tex]\[ y = -\frac{1}{800}x^2 + 50 \]"[/tex]