the ratio of boys to girls in the park was 4 to 5 .if 270 children were in the park.How many girl?

Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Answer:

x is equal to -2, and y is equal to 2.

Step-by-step explanation:

You can solve this type of question by solving one of the equations for a given variable, and substituting it into another.

Because both of these are definitions of y, we could simply say, y = y, and thus:

x + 4 = -2x - 2

3x = -6

x = -2

This tells us also that y, being equal to x + 4, must equal 2

We can find the same solution by solving one of them for x, then substituting that into the other.  We know:

y = x + 4

so we can also say:

x = y - 4

If we substitute that into the other:

y = -2x - 2

y = -2(y - 4) - 2

y = -2y + 8 -2

3y = 6

y = 2

which we can then plug into either of the original equations to solve for x:

y = x + 4

2 = x + 4

x = -2

126/3 = 42

42*5 = 210

Mr. Peterson can grade 210 tests in 5 hours.

Answer:

210

Step-by-step explanation:

126 tests in 3 hours

x. in 1 hour

126=3x => x= 126:3=42 tests in 3 hours

in 5 hours=> 5°42= 210 tests.

Answer:

pizza

Step-by-step explanation:

... :D

La respuesta es,

\(2 \frac{3}{4} \)

Answer:

B. {x| -3 < x ≤ 2}

Step-by-step explanation:

The unshaded "O" on "-3" implies that -3 is not included. Which means -3 < x or x > -3.

The shaded "O" on "2" implies that 2 is included, therefore, x is either equal to 2 or less than 2 (x ≤ 2) since the line is towards our left side. This, we would have:

{x| -3 < x ≤ 2}

Answer:

The answer is "Choice B".

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, in all choices, the choice (B) is Correct because in the declaration of the statement Only when the process has had at least another answer could a candidate solution for more than just a linear model explicitly uses a parametric description that's why the given statement is true.

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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Answer:

2 squads of five can be picked from 10 basketball players

Step-by-step explanation:

To solve this problem you have to divide 10 ÷ 2 which equals to 5.

The first three terms of the arithmetic sequence are -97, -63, and -29.

The value of x = -14.

To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:

The common difference (d) is the same between all consecutive terms.

So, we have:

(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)

Simplifying the equation:

5x + 7 - 7x - 1 = 2x - 1 - 5x - 7

-2x + 6 = -3x - 8

Now, let's solve for X:

-2x + 3x = -8 - 6

x = -14

Substituting the value of X back into the expressions, we can find the first three terms:

First term: 7x + 1 = 7(-14) + 1 = -97

Second term: 5x + 7 = 5(-14) + 7 = -63

Third term: 2x - 1 = 2(-14) - 1 = -29

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Answer:

1=105

3=105

4=75

5=105

6=75

7=105

8=75

Step-by-step explanation:

angles 1 and 2 are supplementary, this means that the sum of the two angles equals 180(they make a straight line).

This means that the cross of the two lines(p and m) will cause angles 1 and 3 to be the same (2 and 4 will also be the same).

lines m and n are parallel, which means that angles 1,2,3, and 4 will be that same as their corresponding angle in angles 5,6,7, and 8.

I hope that made sense.

The volume of the closet space = 207,936 in³

The volume of the one roll of toilet paper = 141.3in³

To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.

Where;

length = 57 in

width = 57

height = 64

volume = 57×57×64 = 207,936 in³

The volume of the toilet paper with the shape of a cylinder would be = πr²h

where;

radius = diameter/2= 6/2=3in

height = 5 in

volume of cylinder = 3.14×3×3×5 =141.3in³

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Answer:

4 percent of 74 is 2.96

Answer:2.96

Step-by-step explanation:

Answer: 10 yards

Step-by-step explanation: 50% = 1/2

1/2 x 20 = 10

15 yeards mowed by Wednesday

The length of the platoon is an illustration of multidimensional arrangements

The length of the platoon is 30 meters

The number of students is given as:

\(\mathbf{n = 120}\)

The number of columns is given as:

\(\mathbf{Columns = 4}\) -- i.e. the number of students on a row

Start by calculating the number of rows using:

\(\mathbf{Rows \times Columns = n}\)

So, we have:

\(\mathbf{Rows \times 4 = 120}\)

Divide both sides by 4

\(\mathbf{Rows = 30}\)

In adjacent rows, there is a distance of 1 meters.

So, the length of the row is:

\(\mathbf{Length = 30 \times 1 m}\)

\(\mathbf{Length = 30 m}\)

Hence, the length of the platoon is 30 meters

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Answer:

2

Step-by-step explanation:

since you have 84/42, and you are supposed to convert the improper fraction to a mixed number, the easiest place to start is to divide the two numbers and find the remainder. In this case, however, there is no remainder, as 84 divided by 42 is exactly 2. Therefore, the most simplified fraction would be 2 (although it does not look like a fraction the most simplified form of the fraction is 2/1 --> which is just 2). Hope this helps!

Answer:

\(\displaystyle x=\left\{n\pi, \frac{3\pi}{2}+2n\pi \right\}, n\in\mathbb{Z}\)

Step-by-step explanation:

We want to solve the equation:

\(\sin^2x+\sin x=0\)

Factor:

\(\sin x(\sin x+1)=0\)

Zero Product Property:

\(\sin x=0\text{ or } \sin x+1=0\)

Recall that sine equals 0 at 0 radians. This will repeat every π radians. So:

\(x=n\pi, n\in\mathbb{Z}\)

(Where n is an integer).

In the second case, we have:

\(\sin x=-1\)

This occurs at 3π/2 and will repeat every cycle or 2π. Hence:

\(\displaystyle x=\frac{3\pi}{2}+2n\pi, n\in\mathbb{Z}\)

Our solution is:

\(\displaystyle x=\left\{n\pi, \frac{3\pi}{2}+2n\pi \right\}, n\in\mathbb{Z}\)

Notes:

In the interval [0, 2π), the solutions are:

\(\displaystyle x=\left\{0,\pi, \frac{3\pi}{2}\right\}\)

\(57=\cfrac{5}{8}z+7\implies 57=\cfrac{5z}{8}+7\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{8}}{8(57)=8\left( \cfrac{5z}{8}+7 \right)} \\\\\\ 456=5z+56\implies 400=5z\implies \cfrac{400}{5}=z\implies 80=z\)

An open circle at 5 and a bold line starting at 5 and pointing to the right (>) is the correct representation of the inequality

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.

Given: the inequality –3(2x – 5) < 5(2 – x)

First, we have to solve for x in the inequality

–3(2x – 5) < 5(2 – x)

Clear the parenthesis:

-6x + 15 < 10 - 5x      (Note: This is one of the options to be selected)

Collect like terms:

-6x + 5x < 10 - 15

-x < -5

Divide both sides by -1:

x > 5              ( Note:  Dividing both sides by -1 will change the < to > )

This is what will determine our answer

Since our answer is x > 5.  An open circle will be at 5 and a bold line starts at 5 and is pointing to the right (>)

Therefore,  the correct representation of the inequality is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right". Select 3rd and 4th option is the answer

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Answer:

9x-3-&r=7-X

Taking 7 to the left side of the equation,we have

9x-3-&r-7=-X

Multiplying through by -1 we have -1(9x-3-&r-7)=-1(-X)

which is -9x+3+&r+7=X

Therefore X= 7+&r+3-9x

The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

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There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:119 4/7

Step-by-step explanation:

2/14+6/14+2/14+4/14+1/14+3/14+4/14= 22/14

10+35+10+12+24+15+12=118

118 22/14

119 8/14

119 4/7

Answer:

119 and 4/7

Step-by-step explanation:

10 + 12 + 15 + 24 + 12 + 10 + 35 = 118.

3/14 + 1/14 = 2/7

1/7 + 2/7 + 2/7 + 2/7 = 1

1/7 + 3/7 = 4/7

118 + 1 + 4/7 = 119 and 4/7

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

a)

The given function is a piecewise function and x represents the number of anytime minutes.

For minutes less than or equal to 300, the function representing the cost is

C(x) = 29.99

For C(190), number of minutes or x is less than 300. Thus,

C(190) = 29.99

Answer:

UK = 75°

Step-by-step explanation:

the measure of the chord- chord angle TRS is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

∠ TRS = \(\frac{1}{2}\) (TS + UK) , that is

87° = \(\frac{1}{2}\) (99 + UK) ← multiply both sides by 2 to clear the fraction

174° = 99° + UK ( subtract 99° from both sides )

75° = UK

Answer: 3

3,000,000,000

Step-by-step explanation:

Billions have 9 zeros

Answer:

the digit is 6

263,136,816,799

           |

Step-by-step explanation:

i put  a line below which 6 it is hope this helps!