Evaluate the expression.

2
3
(
−
7
)
+
2
3
(
−
5
)
3
2
​
(−7)+
3
2
​
(−5)

Answer:

35 minutes

Step-by-step explanation:

The carnival offers two magic shows

The morning show is for 20 mintes at $3.75

= 3.75/20

= 0.1875

The afternoon show is for 35 minutes at $5.25

= 5.25/35

= 0.15

Hence you pay a lesser amount for 35 minutes

Answer:

1 pumpkin

Step-by-step explanation:

1/2 + 1/2 is 1. They ate 1 pumpkin in total.

Answer:

The slope is -1

Step-by-step explanation:

substitute the value in the value of x and u will get the result.

Answer:

Height = 7m

Step-by-step explanation:

Hope that helps!

Answer:

7m

Step-by-step explanation:

Answer:

AB = 42.30 m

Step-by-step explanation:

What we are asked to do is to simply find the length of AB.

Since both triangles are similar, therefore their corresponding sides would be proportional to each other.

Thus:

92/82.8 = 47/AB

Cross multiply

92*AB = 82.8*47

92*AB = 3,891.6

AB = 3,891.6/92

AB = 42.30 m(nearest hundredth)

Answer:

75 adults

195 total tickets

Step-by-step explanation:

8:5

120:x

3600:25 =144

reduced price is 144$

Answer:

width is 13.5 yards

Step-by-step explanation:

2" / 3 yds = 9" / 'x' yards

cross-multiply:

2x = 27

x = 13 1/2 yards

Answer:

A system of two equations can be classified as follows

Step-by-step explanation:

If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Answer:

1. 2 and 2 is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The formula of slope from 2 points is change in y divided by change in x, so you can apply that to this problem.

First, find the change in y between the two points. To do this, do y2 - y1.

y2 = 6 and y1 = 2, so you have 6 - 2 = 4.

Next, find the change in x between the two points. To do this, do x2 - x1.

x2 = 5 and x1 = 3, so you have 5 - 3 = 2.

All you're really doing here is finding the distance between the x values and the y values of the points, if that makes sense.

The last step is to do change in y divided by change in x, so 4 / 2 = 2.

This means that the slope of the line is 2.

Answer:

a)

Given Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.

Proof by Contrapositive:

Assumed statement: Suppose that integers x and y do not have opposite parity.

Proven Statement: x and y are not a pair of consecutive integers.

Proof -

x = 2u₁ , y = 2u₂

Then

(x, x+1) = (2u₁ , 2u₁ + 1) = (Even, odd)

If y = 2u₁ + 1

Not possible

⇒x and y are not a pair of consecutive integers.

Hence proved.

Proof by Contradiction:

Assumed statement: Suppose x and y are not a pair of consecutive integers.

Proven Statement: Suppose x and y do not have opposite parity.

Proof -

If x and y are not a pair of consecutive integers.

⇒ either x and y are odd or even

If x and y are odd

⇒x and y have same parity

Contradiction

If x and y are even

⇒x and y have same parity

Contradiction

(b)

Proof by Contrapositive:

Assumed statement: Let n be an integer such that n is not odd (i.e. n is an even integer)

Proven Statement: n² is not odd (i.e n² is even)

Proof -

Let n is even

⇒n = 2m

⇒n² = (2m)² = 4m²

⇒n² is even

Hence proved.

Proof by Contradiction:

Assumed statement: Let n be an integer such that n² be odd.

Proven Statement:  suppose that n is not odd (i.e n is even)

Proof -

Let n² is odd

⇒n² is even

⇒n² = 2m

⇒2 | n²

⇒2 | n

⇒n = 2x

⇒ n is even

Contradiction

Answer:

The number is [tex]\frac{23}{3}[/tex]

Step-by-step explanation:

I am going to call the number x.

A number that adds with 2/3 subtract will 1/3 will be 8.

As an equation, this is:

[tex]x + \frac{2}{3} - \frac{1}{3} = 8[/tex]

Now we solve the equation to find x. So

[tex]x + \frac{2-1}{3} = 8[/tex]

[tex]x + \frac{1}{3} = 8[/tex]

[tex]x = 8 - \frac{1}{3}[/tex]

[tex]x = \frac{24}{3} - \frac{1}{3}[/tex]

[tex]x = \frac{24-1}{3}[/tex]

[tex]x = \frac{23}{3}[/tex]

The number is [tex]\frac{23}{3}[/tex]

Answer:

1.21

Step-by-step explanation:

5.26 - 3.64 = 1.62

1.62 ÷ 2 because the difference between 3 and 5 is two, the mass of one apple is 0.81 because 1.62 ÷ 2 = 0.81

so now we know one apple weights 0.81

if we multiply that 0.81 x 3 it will equal 2.43, so now the three apples alone wiegh 2.43...so now we look at the total weight of the whole basket with three apples, which is 3.64,

3.64 - the weigth of the apples (2.43)

3.64 - 2.43 = 1.21

the basket alone wieghts 1.21

Sorry if that was too long just want you to understand it

Answer:

It has side lengths of 3 and 13

Step-by-step explanation:

If it has an area of 39, then let the sides be x and y: thus we get the two relationships:

xy=39

2(x+y)=32

From the second equation, you get x+y=16. Now, rearrange to get y=16-x. You can now plug this into the first equation:

x(16-x)=39 -> 16x-x^2=39 -> x^2-16x+39=0 -> (x-3)(x-13)=0

This implies that x=3, or x=13, which further implies that the side lengths must be 3 and 13.

Answer:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

x/35=15/25

x=35(15)/25

x=21

I think that A would be the correct answer.

Answer:

12 coaches

Step-by-step explanation:

If for every 28 players, 4 coaches are needed, for 84 (triple the amount) players, 12 coaches would be needed (triple the amount)

Answer:

40

Step-by-step explanation:

10x10=100

100-60=40

Hope this helps! :)

hope this helps!!                        

mark me brainlist? this took a lil bit

Answer:

l = 2w + 2 would be the equation

Answer:

The question is incorrect. Please rewrite the question.

Answer:

Step-by-step explanation:

∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.

∠D = ∠B

∠A = ∠E

△ABC and △EDC are similar because they have the same angles.