Find the number of ways 5 men and 4 women can be arranged in a line if the men and women must alternate.​

45 problems 30 minutes

x problems 4 minutes

____________________

[tex] \frac{45.4}{30} = \frac{180}{30} = 6[/tex]

We learnt this way in Turkey.

Answer: 6 problems in 4 minutes

Step-by-step explanation: If there are 45 problem and she can do them in 30 minutes, then you divide 45 by 30 to see how many problems she can do in one minute. 45 problems/30 minutes = 1.5 problems per minute. Then, you multiply 1.5 by 4, because you need to see the 4 minute mark, and 1.5 x 4 = 6. So, your answer is 6 problems.

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Answer:

B and D

Step-by-step explanation:

Answer:

The answer is 6√3in and 2√3in. Just finished taking the quiz, hope this gives you some conformation! :)

Answer:

231

Step-by-step explanation:

So the tiny 2 above the 15 means 15 is squared

15 squared = 225

225 + x(2)

If x = 3, then simply plug that into the equation

225 + 3(2)

225 + 6

231 is your answer

Answer:

231

Step-by-step explanation:

I put the equation as 15^2+2(3) I'm guessing the x was suppose to be after the 2 because it doesn't make sense putting x in front of the two....

Answer:

800

Step-by-step explanation:

I got it correct on delta math.

Answer:

1) inverse: x - 12

2) inverse: 3x + 6

3) inverse: x/2 - 6

4) inverse: x/3 + 4/3

5) inverse: 3x - 3/2

6) inverse: -3x/2 + 15/2

7) inverse: x/5 - 3

8) inverse: 2x/5 + 1/5

Answer:

viariables

Step-by-step explanation:

Answer:

[tex]p=25,\\q=12[/tex]

Step-by-step explanation:

In [tex](ax+b)(cx+d)=acx^2+bcx+dax+bd[/tex], notice the third term of the quadratic in standard form is formed entirely by [tex]b\cdot d[/tex].

Therefore, in [tex]12x^2 - 13x - 7175 = (x-p) (qx + 287)[/tex]:

[tex]-p\cdot287=-7175,\\-p=\frac{-7175}{287},\\p=\fbox{$25$}[/tex].

Now that we found [tex]p[/tex], we must find [tex]q[/tex]. The first term of the quadratic in standard form is formed entirely by [tex]ax\cdot cx[/tex]. Therefore:

[tex]1\cdot q=12, \\q=\fbox{$12$}[/tex].

Answer:

1086/18.25 = 59.51

60 more tubs of popcorn to reach their target.

Step-by-step explanation:

OK, here we go. Golf Club first

You subtract the total amount they need to raise, by the amount they already have:

2620 - 1225 = $1395.00 to go

Divide that number by the price of golf balls to find out how many more they need:

1395/25 = 55.8

This means that they need to sell at least 56 golf balls to meet the target.

Now to the Percussion Club...

Do the same thing again:

2400 - 1314 = $1086 to go

1086/18.25 = 59.51

So the percussion club needs to sell at lest 60 more tubs of popcorn to reach their target.

Answer: At most 3

Step-by-step explanation:

If there are 25 white socks and 25 red socks, a matching pair would be picked in at most 3 times.

The first sock you pick would be either White or Red

The second sock you pick would be either white or red again which means that you now either have 2 whites, 2 reds or 1 white and 1 red.

The third sock you pick will either be white or red once more. At this point you will either have 3 whites, 3 reds, 2 whites and 1 red or 2 reds and 1 white.

You will therefore have at least a matching pair after 3 tries.

Answer:

2

Step-by-step explanation:

32 divided by 4 is 8

1/4 of 8= 2

Volume is a cubic measurement.

Set up a ratio of volume to the ratio of the height:

100/v2 = 2^3/5^3

V2 = 100 x 5^3/2^3 = 100 x 125/8 = 1,562.5 cubic feet

The volume of large pyramid is 1,562.5 cubic feet, by using ratio of heights.

What information do we have?

Ratio of heights of two similar pyramids = 2:5

Volume of smaller pyramid = 100 cubic feet

Volume of smaller pyramid / Volume of large pyramid = Height of smaller pyramid³ / Height of large pyramid³

100 / Volume of large pyramid = 2³ / 5³

Volume of large pyramid = 125(100) / 8

Volume of large pyramid = 1,562.5 cubic feet

Find out more information about 'Pyramid'.

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Answer:

C. 36

There are 150 cups total, and 60 blue cups

[tex]150/60=0.4[/tex]

Multiply that by the number of cups he picked up

[tex]0.4*90=36[/tex]

Answer:

your answer should be c

Hope this helps!

Step-by-step explanation:

Answer:

$500

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 500 × 0.05 × 20 = 500

I = $ 500.00

The simple interest accumulated

on a principal of $ 500.00

at a rate of 5% per year

for 20 years is $ 500.00.

Answer:

Exact Form:

1

188

Decimal Form:

0.00531914

…

Step-by-step explanation:

:)

1 over 188 BTW

Answer:

94i

Step-by-step explanation:

94^-1/2 is the square root of -94 which is an imaginary number

Answer:

10

20

Step-by-step explanation:

Answer:

Exact Form: x= 29/2 ( the / is _ under 29)

Decimal form: x= 14.5

Mixed form: x= 14 1/2 ( the / is _ under 2)

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

Answer:

hhjbvft

Step-by-step explanation:

jojo giving kbjvuvuvvuvugubibbibiogg

Answer:

3/8, 6/8, 5/8

Step-by-step explanation:

that is the right answer

Answer:

The measure of Angle B = 82

Step-by-step explanation:

⁕We have to calculate the angle for A.

‣Notice how angles A is on a straight angle, a straight angle equals 180 degrees by the way.

⁕You are going to subtract 143 from 180.

[tex]180 - 143 = 37[/tex]

‣So the angle of A is 37. A triangle equals 180 degrees.

⁕You are going to combine angle A and Angle C and subtract it from 180, to find angle B.

[tex]61 + 37 = 98 \\ 180 - 98 = 82[/tex]

‣Therefore, angle B equals 82.

Answer:

Quotient = (3x-1)

Step-by-step explanation:

we need to find the quotient when (3x² + 8x -3) is divided by (x+3)

It means we need to divide (3x² + 8x -3) by (x+3).

We can write it as follows :

[tex]\dfrac{3x^2 + 8x -3}{(x+3)}[/tex]

Applying middle term splitting on the numerator.

[tex]\dfrac{3x^2 +9x-x-3}{(x+3)}\\\\=\dfrac{3x(x+3)-1(x+3)}{(x+3)}\\\\=\dfrac{(3x-1)(x+3)}{(x+3)}\\\\=(3x-1)[/tex]

So, the required quotient is (3x-1)

Answer:

(6,5), (3,-4) either one of those...

Answer:

b) The slope of line is 20

c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

d) i) she would have travelled 1480 m after 74 s

ii) It will take 125 s to travel 2.5 km

Step-by-step explanation:

Part b: Slope of Line

Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table we can take any two points and find the slope.

Looking at the graph, the time is x-axis and distance is y-axis

Let we take (0,0) and (8,160)

So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]

Now finding Slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]

So, the slope of line is 20

Part c) Find the equation in slope-intercept form

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

We have found slope, m = 20

We need to find y-intercept.

y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:

So, when x =0, y=0

So, y-intercept = 0

The equation will be:

[tex]y=mx+b\\y=20x+0\\y=20x[/tex]

The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

Part d)

Part i) How far will she have travelled after 74 s

We are given time (x) = 74 s

We need to find distance i.e. y:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Put x = 74

[tex]y=20x\\y=20(74)\\y=1480[/tex]

So, she would have travelled 1480 m after 74 s

Part ii) How long will it take to travel 2.5 km

We are given distance (y) = 2.5 km

We need to find time i.e. x:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Since distance is given in meters but here it is in km

So converting 2.5 km into m

We know that 1 km = 1000m

So, 2.5 km = 2500 m

Now finding time:

[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]

So, It will take 125 s to travel 2.5 km

Mrs. Smith used 130 centimeters of lace for each cushion.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. There are five fundamental operations in mathematics: addition, subtraction, multiplication, division, and modular forms.

Given Mrs. Smith bought 6.5 meters of lace. She used 1.3 meters to make a dress. She used the rest to make 4 cushions of the same size.

Lace bought by Mrs. smith = 6.5 meters

Since she used lace in the dress = 1.3 meters

remaining lace = 6.5 - 13

remaining lace = 5.2 meters

Since she used the remaining lace to make four cushion

thus, lace required for every cushion = 5.2/4 = 1.3

therefore, she used for each cushion 130 centimeters of lace.

Learn more about mathematical operations here:

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Answer:

4(2 1/4x + y)

Step-by-step explanation:

Just factor

In this cae no GCF

So just divide By 4 becuase its easy

If you solve it

You’d get 9x+4y

WHich is the combined term of the expression given

Answer:

4(2 1/4x + y)

Step-by-step explanation:

Just factor

In this cae no GCF

So just divide By 4 becuase its easy

If you solve it

You’d get 9x+4y

WHich is the combined term of the expression given