Tim had nine cards, each with a different number from 1 to 9 on it.
He put the cards into three piles so that the total in each pile was 15.
How could he have done this?

Can you find all the different ways Tim could have done this?

All.​

Answer:

1 miles

Step-by-step explanation:

5 min =  0.5 miles

so 10 min = 1 miles

Answer:

[tex]Pr(A\ or\ B) = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]S = \{21,22,23,24,......40\}[/tex]

[tex]n(S) = 20[/tex]

[tex]A = \{21,24,27,30,33,36,39\}[/tex] -- Divisible by 3

[tex]B = \{23, 29, 31, 37\}[/tex] --- Prime numbers

Required

[tex]Pr(A\ or\ B)[/tex]

This is calculated as:

[tex]Pr(A\ or\ B) = Pr(A) + Pr(B) - Pr(A\ n\ B)[/tex]

Using probability formula, we have:

[tex]Pr(A\ or\ B) = \frac{n(A) + n(B) - n(A\ n\ B)}{n(S)}[/tex]

Where:

[tex]A = \{21,24,27,30,33,36,39\}[/tex]

[tex]n(A) = 7[/tex]

[tex]B = \{23, 29, 31, 37\}[/tex]

[tex]n(B) = 4[/tex]

[tex]A\ n\ B =\{\}[/tex]

[tex]n(A\ n\ B) = 0[/tex]

So:

[tex]Pr(A\ or\ B) = \frac{n(A) + n(B) - n(A\ n\ B)}{n(S)}[/tex]

[tex]Pr(A\ or\ B) = \frac{7 + 3 - 0}{20}[/tex]

[tex]Pr(A\ or\ B) = \frac{10}{20}[/tex]

[tex]Pr(A\ or\ B) = \frac{1}{2}[/tex]

Answer:

the perimeter of this trapzoid is 26.5.

Sorry if I am wrong and please do correct me if I am wrong.

Step-by-step explanation:

Answer:

83 degrees

Step-by-step explanation:

We can use the consecutive angle theorem to find the the value of x.

We can do that by doing 5x+10.5+6x+10 = 180

After simplifying, we get 11x+20.5=180

Subtract 20.5 on both sides and you get 11x=159.5.

Divide by 11 on both sides and you get x=14.5

Now we can use opposite angle theorem and set angle N and angle T equal.

That means we could write 5x+10.5 = m<T

We can substitute 14.5 for x and we get 72.5+10.5 = m<T

Simplify and you get 83 = m<T

----------------------------------------------

Hope this helps!

Answer:

y = 1/2 x - 2

Step-by-step explanation:

The standard linear equationof a line is expressed as y = mx+b

Using the coordinate points (0, -2) and (2, -1)

Slope m = -1-(-2)/2-0

m = -1+2/2

m = 1/2

Since the line cuts the y axis sat y = -2, hence the intercept b = -2

Get the required equation;

Recall that y = mx+b

y = 1/2 x + (-2)

y = 1/2 x - 2

This give the required linear equation

Answer:

these three apply:

ΔCBA ≈ ΔFED

ΔBAC ≈ ΔEDF

ΔABC ≈ ΔDEF

Step-by-step explanation:

The similarity statements which describe the relationship between the two triangles is ΔCBA-ΔFED

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given triangles ABC and DEF are similar triangles.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Side CB is congruent to FE.

BA is congruent to side DE.

AC is congruent to side DF.

The two triangles are similar.

ΔCBA-ΔFED is the similarity statements describe the relationship between the two triangles

Hence, the similarity statements which describe the relationship between the two triangles is ΔCBA-ΔFED.

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[tex]volume = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Plugging in our values,

[tex]volume = \frac{1}{3} \times 3.142 \times {1}^{2} \times 2 = \frac{1}{3} \times 3.142 \times 2 = 2.095{m}^{3} \\ [/tex]

So the answer is,

[tex]2.095{m}^{3} [/tex]

Answer:

E because is covered all angle

< DCE ≅ < GCF must be true

Hence Option A and E are true statements.

A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around. In that case, the sector has 1/6 the area of the whole circle.

According to the given figure:

DE ≅ FG

So < DCE ≅ < GCF must be true

Because DE ≅ FG

< DCE ≅ <GCF is similar to DE ≅ FG

Hence, < DCE ≅ < GCF must be true

Hence Option A and E are true statements.

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Answer:

2

Step-by-step explanation:

2-2=4 which is equal to 4

Answer:

1/3

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

Experimental probability is based on the result of an experiment that has been carried out multiples times

Based on experience, the band sells out 2 out of its 6 shows. So, the experimental probability of selling out its next show = 2/6

To transform to the simplest form. divide both the numerator and the denominator by 2

1/3

Step-by-step explanation:

Answer

(z+15)

Use the quadratic formula to get the answer you seek.

You should arrive at

(z-6)(z+15)

Answer:

slope = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 4 ← is in slope- intercept form

with slope m = 5

Answer:

List Price = $ 8.75

Discount Amount = $ 1.75

Answer:

Dependent Event

Step-by-step explanation:

Assume that are 10 balls, such that:

[tex]Red = 6[/tex]

[tex]Green = 4[/tex]

If the balls are replaced after taken, the probability is:

[tex]Pr(Red) = 6/10[/tex]

[tex]Pr(Green) = 4/10[/tex]

This is referred to as independent event; because each selection do not affect the next or previous selection

However, if the balls are not replaced, the probability is:

[tex]Pr(Red) = 6/10[/tex]

[tex]Pr(Green) = 5/(10 - 1) = 5/9[/tex]

We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.

This is referred to as independent event; because a selection affects the next selection

Answer:

C

Step-by-step explanation:

Answer:

Girl's plot

Step-by-step explanation:

The exact question is as follows :

Given - The dot plots compare the number of raffle tickets sold by boys and girls during a school fund-raiser.

To find - Which plot has an outlier?

Proof -

The correct answer is - Girls

Reason -

Girls plot has an outlier because values way outside the majority of the data.

Definition of outlier -

A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.

Here in the Girl's plot we can see that, all the dots are close but there is one dot that is lies outside

But in Boy's plot all the dots are close to each other , no dot is lies outside to any other dots.

So,

The correct option is -

Girl's plot has an outlier.

Answer:

                      Male                   Female            Total

American 11/17 = 0.647  l 6/17 = 0.353 l 17/17 = 1.000

Non-American 9/23 = 0.391 l 14/23 = 0.609 l 23/23 = 1.000

Step-by-step explanation:

Answer: 2 combinations

Step-by-step explanation: he can either wear one jacket, one pair of shirt, one pair of pant and a air of shoes or the second combination the other jacket, shirt, pants and shoes

Answer:

$2655 + $324d

Step-by-step explanation:

total cost of a booth = fixed cost + (variable cost x number of days)

Fixed costs are costs that do not vary with output

Variable costs are costs that vary with production

cost of 18 food booths = 18(50 + 6d) = 900 + 108d

cost of 27 game booths = 27(65 + 8d) = 1755 + 216d

Add the total cost of the food and game booths together 900 + 1755 = 2655

108d + 216d = 324d

Answer:

-15

Step-by-step explanation:

Answer:

nth term = -5n + 30

Step-by-step explanation:

Given sequence:-

25 20 15 10 5

To find the nth term, we have to find the algebraic expression, Xn.

Xn = dn + b

Here, 'd' means the common difference and 'b' means 'first term -- common difference'

the common difference here is -5

So, b = 25 - (-5)

b = 25 + 5

b = 30

Xn = -5n + 30

Therefore, nth term equals -5n + 30

Answer:

notice the two angles are vertical to each other making them equal to each other

for the first angle add 45 and 15 together to get 60

set 60 = 4x (the other angle using the vertical angle congruence theorem)

solve for x gives us 15

Step-by-step explanation:

Answer:

A. minimum value = 1; maximum value = 6

Step-by-step explanation:

Correct on Edge 2021

Answer:

8 cm

Step-by-step explanation:

You neglected to include any equations

Here is one way to solve:

length of each piece

352/22 = 16

Half a piece

16/2 = 8

Choice C

352/22/2 = l

Answer:

352 ➗ 22 ➗ 2 = l

Step-by-step explanation:

Answer:

B

cause when dividing you are subtracting the exponents

so it 4^-3+1 = 4^-2

you shouldnt have negative exponents

so you flip it, which become 1/4^2

Hope that answers your question

Don't hesitate to comment if you are confused about something

Step-by-step explanation:

Answer:

Arc ABC = 250°

Step-by-step explanation:

m<AOB = 110° (given)

Based on the central angle theorem, central angle m<AOB equals the intercepted arc AB

Therefore,

m<AOB = measure of arc AB = 110°

Thus:

Arc ABC = 360° - arc AB (Full circle = 360°)

Arc ABC = 360° - 110°

Arc ABC = 250°

Answer:

m = 2

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Perpendicular lines have a negative reciprocal slope.

Step-by-step explanation:

Step 1: Define

y = -1/2x + 4

Step 2: Identify

Slope m = -1/2

Step 3: Solve

Reciprocate and multiply by negative

m = 2

Algebra I

Slope-Intercept Form: y = mx + b

Perpendicular lines have a negative

reciprocal slope.

[tex]\pink:\implies[/tex]Define

y= -1/2x +4

[tex]\:[/tex]

[tex]\pink:\implies[/tex]ldentify

Slope m = -1/2

[tex]\:[/tex]

[tex]\pink:\implies[/tex]Solve

Reciprocate and multiply by negative

[tex]\dashrightarrow[/tex] m = 2

Answer:

23

Step-by-step explanation:

Women total age = 5 x 23 = 115

Men total age = 3 x 24 = 72

The mean age of all the people

= (115+72)÷(8)

= 23.375

= 23 (nearest year)

The mean age (nearest year) of all the people in the office is 23

The given parameters are:

5 women = 23 years

3 men = 24 years

Mean is calculated using:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{23 * 5 + 24 * 3}{5 + 3}[/tex]

Evaluate the quotient

[tex]\bar x = 23[/tex]

Hence, the mean age (nearest year) of all the people in the office is 23

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Answer:

33+x+18=2x+3

51+x=2x+3

51-3=2x-x

48=x

Step-by-step explanation:

2x+3

2*48+3

96+3

99

Answer:

24

Step-by-step explanation: