A manufacturer uses 3/4 yard of fabric to make each skirt. How many yards of fabric will the manufacturer use to make 4 skirts ? 7 skirts ? 9 skirts

Option B: [tex](x, y) \rightarrow(x+5, y+3)[/tex] is the rule for the translation

Explanation:

The coordinates of A,B,C are [tex](-3,2)[/tex] ,[tex](-3,-3)[/tex] , [tex](0,-2)[/tex]

The coordinates of A',B',C' are [tex](2,5)[/tex] , [tex](2,0)[/tex] , [tex](5,1)[/tex]

We need to determine the rule for the translation

The rule for the translation is given by

[tex]P(x, y) \rightarrow P^{\prime}(x+a, y+b)[/tex]

Let us determine the translation from A to A'

[tex]A(-3,2)\rightarrow A^{\prime}(-3+a, 2+b)\rightarrow A'(2,5)[/tex]

Thus, we have,

[tex]\begin{aligned}-3+a &=2 \\a &=5\end{aligned}[/tex]   and   [tex]\begin{array}{r}2+b=5 \\b=3\end{array}[/tex]

Thus, the rule is given by

[tex](x, y) \rightarrow(x+5, y+3)[/tex]

Therefore, Option B is the correct answer.

Answer:

its b

Step-by-step explanation:

hdhbdbehebebehrbrb

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:

9 miles

Step-by-step explanation:

A 6+3 is nine

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:

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:

12

Step-by-step explanation:

60=12*5

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

Answer: A) 0.5 Hours

I got it correct!

Answer:

Movie tickets are $9. Snacks are $2

Step-by-step explanation:

2m+3s=24

18+6=24

Answer:

[tex]\frac{6x}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{7x}{5}[/tex] - [tex]\frac{x}{5}[/tex]

Since both fractions have a common denominator, subtract the numerators leaving the denominator.

= [tex]\frac{7x-x}{5}[/tex]

= [tex]\frac{6x}{5}[/tex]

Answer: 6x/5

Step-by-step explanation:

Answer: B) 12

Step-by-step explanation: In order to solve this you have to know the scale factor between the two triangles. In order to do that you just need to take a similar side between the two triangles and divide them. For example:

10 / 15 = .6666

This is RW divided by RT

Now that you have the scale factor, you just need to multiply it by 18 to get WV.

18 x .666666 = 12

The value of d in millimeters is 12 mm and this can be determined by using the similar triangle property.

Given :

The following steps can be used in order to determine the value of d in millimeters:

Step 1 - The similar triangle property can be used in order to determine the value of d in millimeters.

Step 2 - Apply the similar triangle property on the triangle RST and triangle RVW.

[tex]\rm \dfrac{RW}{WV}=\dfrac{RT}{TS}[/tex]

Step 3 - Substitute the values of the known terms in the above expression.

[tex]\rm \dfrac{10}{d}=\dfrac{15}{18}[/tex]

Step 4 - Simplify the above expression.

[tex]\rm d = \dfrac{10}{15}\times 18[/tex]

d = 12 mm

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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: 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: the answer is

5000

Step-by-step explanation:

Answer:40%

Step-by-step explanation:

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:

number= n

6/2n

i think this is how you do it

Answer:

the correct answer is 6/2*x

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:

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

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Answer:

[tex] a = 8 \\ b = 10 \\ c = 5[/tex]

Step-by-step explanation:

[tex]{c}^{2} = {3}^{2} + {4}^{2} \\ c = 5 \\ \frac{3}{6} = \frac{4}{a} = \frac{5}{b} \\ a = 8 \: \: \: \: \: b = 10[/tex]

Answer:

[tex]a=8\\b=10\\c=5[/tex]

Step-by-step explanation:

In the given image, you can observe we have two right triangles.

Also, we know by given that those triangles are similar, which means their sides are proportional and their angles are congruent.

If the triangles are similar, we can define the following proportion between sides.

[tex]\frac{4}{a} =\frac{3}{6}\\ 24=3a\\a=\frac{24}{3}\\ a=8[/tex]

Now we use the Pythagorean's Theorem to find each hypothenuse.

[tex]c^{2} =4^{2} +3^{2}\\ c=\sqrt{16+9}=\sqrt{25} \\ c=5[/tex]

[tex]b^{2} =8^{2} +6^{2}\\ b=\sqrt{64+36}=\sqrt{100}\\ b=10[/tex]

Therefore, the missing sides are

[tex]a=8\\b=10\\c=5[/tex]

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.

It will take 0.67 hours

Step-by-step explanation:

Time = Distance/Speed

        = 30/45 = 0.67 hours

Answer:

65

Step-by-step explanation:

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.

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:

d

Step-by-step explanation:

bjkbj

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:

Explanation:

1. Vertices of triangle FGH:

2. Vertices of triangle F'G'H':

3. Solution:

Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is a dilation by a scale factor of 4 and a reflection across the x-axis. This is the proof:

       (0,1) → 4(0,1) = (0,4)

        (0,4) → (0,-4)

Verfiy the transformations of the other vertices with the same rule:

       4(-2,1) → (-8,4)

       4(-3,3) → (-12,12)

        (-8,4) → (-8,-4) ⇒ F'

        (-12,12) → (-12,-12) ⇒ G'

Therefore, the three points follow the rules for a dilation by a scale factor of 4 and then a reflection across the x-axis.

Answer:a dilation by a scale factor of 4 and then a reflection across the x-axis

Step-by-step explanation:

10 bags of fertilizer

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

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....