Simplify, using the distributive property and then combining like terms.

5(3a+b)−2(3a+b)

Answer:

(a) 720

(b) 180

Step-by-step explanation:

We are given 10 numbers (1,2,3,4,.....,10).

(a) 3 unique numbers are to be chosen by Alice, Bob and Carrie.

Number of ways to choose the 1st number = 10

Number of ways to choose the 2nd number = 9 (1 number chosen earlier can't be chosen again)

Number of ways to choose the 3rd number = 8 (2 numbers chosen earlier can't be chosen again)

Total number of ways of choosing 3 unique numbers = [tex]10 \times 9 \times 8 \Rightarrow 720[/tex]

(b)

Number of ways of choosing 1st number = 10 (no restrictions)

Number of ways of choosing 2nd number = 9 (1 number chosen earlier can't be chosen again)

Now, restriction on the 3rd number to be chosen is that one of the two already chosen number should be chosen again.

So, number of ways to choose 3rd number = 2

the number of ways they can choose their numbers if they have to choose exactly two different numbers among all three people =

[tex]10 \times 9 \times 2 \Rightarrow 180[/tex]

Hence, the answers are:

(a) 720

(b) 180

Answer:

-1

Step-by-step explanation:

Because the nembers before 0 are negitave and the ones after it are positive the equation to find the answer is (-3)(+2) and if you don't know how you add the two like: -3 +2

- negative

+ positive (which also goes for adding 2)

The inequality is shown in that number line 3 ≥ x > 2

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

In order to express inequalities on a number line, we mark a straight line and indicate the endpoints with either an open circle or a closed circle.

An open circle indicates that it does not include the value.

A closed circle indicates that the value is included.

These numbers solution set consists of all real numbers between -3 and 2.

Since 2 has an open circle, it excludes '2,' but it does include everything higher, up to and including -3, which has a closed circle.

Thus, we can represent this using the inequality 3 ≥ x > 2.

Learn more about the number line here:

brainly.com/question/17617832

#SPJ2

Answer:

220 lifeguards

Step-by-step explanation:

We have to divide the length of the beach by the interval of the stationed lifeguards.

13.2 / 0.06 = 220 lifeguards

There are 220 lifeguards.

Answer:

20 ft² - 4ft² = 16 ft²

Step-by-step explanation:

First we solve for the whole rectangle:

Formula:  A = ab

side length a = 5 in

side length b = 4 in

diagonal p = q = 6.4031242374328 in

perimeter P = 18 in

area A = 20 in²

Second we deduct the Area of the cutout of the Square

side length a = 2 ft

Area = a² = 4 ft²

3 1/2 yards

Step-by-step explanation:

She needs 4 2/3 or 14/3 yards

She has 3/4 of that. / of is a sign of multiplication

3/4 of 14/3

3/4 * 14/3

42/12. Simplify

14 / 4. So she has 14/4 or 3 1/2 yards

Answer:

It would be

a plus 4 divided by 7

Step-by-step explanation:

Answer:

"the sum of a and 4 divided by 7"

Step-by-step explanation:

This is "the sum of a and 4 divided by 7."

Answer:

I think its D. im not sure.

Answer:

range

Step-by-step explanation:

difference between the highest and lowest points in a data set = range

The mean is the average of all the points

The median is the middle of  all the points

The mode is the point the appears the most often

"Hey diddle diddle the medians the middle you add and divide for the mean the mode is the one that you see the most and the range is the difference between"

Online song that's helped me remember the difference between median, mode, mean and range for years!

Answer:

b.  105.12 in²

Step-by-step explanation:

A= 1/2 πr² +ab

Answer: (1 + x) (1 - x)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula a^2 + b^2 = (a+b)(a-b) where a = 1 and b = x (1 + x) (1 - x)

Answer:

120 Tickets

Step-by-step explanation:

Band rues charges $950 to play all night.

DJ phoria charges $350 plus $5 for each ticket sold.

(a)The graph is attached.

From the point of intersection of the two lines, the number of tickets for which the cost of the band and the DJ would be equal is 120 tickets.

(b)

Given the two linear equations

y=950

y=350+5x

Therefore:

950=350+5x

950-350=5x

5x=600

x=120

Therefore, the number of tickets at which the cost of the band and the DJ would be equal is 120, just as obtained above.

Answer:

It takes the printer 20 minutes to print a banner

Step-by-step explanation:

Notice that there are two unknowns in this problem: the time to print a poster and the time to print a banner. Let's assign the letter "b" to the time it takes to print a banner, and "p' the time it takes to print a poster.

So we can write the following two equations involving the total amount of time that takes to print in the two cases:

[tex]b+p=30\\b+3p=50[/tex]

We can solve for the unknown "p" by subtracting term by term in the equation set above:

[tex]b+3p=50\\b+p=30\\\\b-b+3p-p=50-30\\2p=20\\p=10[/tex]

So it takes 10 minutes to print each poster, we can find the time it takes to print the banner by using the value we just found in one of the equations:

[tex]b+p=30\\b+10=30\\b=20[/tex]

So, it takes 20 minutes to print a banner.

Answer:

x+y= 21

0.10x+0.25y= 4.20

Step-by-step explanation:

You can write a system of equations that model the situation in which one equation would determine the number of coins by adding up all the coins she has and the other one would indicate the total amount Maria has by adding up the results of multiplying the value of each type of coin for the quantity:

x+y= 21

0.10x+0.25y= 4.20

x= amount of dimes

y= amount of quarters

Answer:

Step-by-step explanation:

Answer is x^12

first law of indices

Answer:

x4^3

Step-by-step explanation:

the answer would be cubed so x4 cubed

Answer: 6 inches

Step-by-step explanation:

If rectangle 2 is 3 times as long as rectangle 1, then all we hae to do is divide the width by 3 (The width is 18)

18 ÷ 3 = 6

Answer:

6 trust me i had this on my assignment...

Step-by-step explanation:

Hey there!

Answer:

CD = 3.

Step-by-step explanation:

Since the triangles are similar, we can set up a ratio to determine the other side-lengths:

[tex]\frac{12-x}{18} =\frac{x}{6}[/tex]

Cross multiply:

[tex]6(12-x) = 18x[/tex]

Distribute the '6':

[tex]72-6x = 18x[/tex]

Combine like terms and simplify:

[tex]72 = 24x[/tex]

[tex]x = 3[/tex]

Therefore, the length of CD is 3.

Answer:

y=-3x+4

y=mx+b

m is the slope

b is the yint

Answer:

y= -3x+4

Step-by-step explanation:

Answer:

Length of the fencing required = 201.06 meters

Step-by-step explanation:

Architect is planning a circular playground with diameter = 64 m

We have to calculate the fencing required to cover this playground.

Length of fencing = circumference of the playground

Since circumference of a circle = π × (Diameter)

                                                    = 64π

                                                    = 201.06 meters

Therefore, length of fencing required to keep the kids in a circle will be 201.06 meters.

Step-by-step explanation:

it's called the origin.

hope this helps :))

Answer:

a) 4.18330013267

b) 7.65643191324

Step-by-step explanation:

Use the calculator to find out the values.

√17.5

=4.18330013267

2.3²+√5.6

5.29+2.36643191324

=7.65643191324

Answer:

a 4.1833

b 7.656

hope its helpful

Answer:

Any number that is a whole number not a fraction or decimal

Step-by-step explanation:

Answer:

1260 degrees

Step-by-step explanation:

Answer:

a=2, b=4, c=3

d=2, e=3

Step-by-step explanation:

[tex]\frac{1}{2} :\frac{3}{4} = \frac{1}{2} *\frac{4}{3} =\frac{1}{a} *\frac{b}{c} \\\\\frac{1}{2} *\frac{4}{3} =\frac{2}{3} =\frac{d}{e}[/tex]

a=2, b=4, c=3

d=2, e=3

Answer: a=2, b=4, c=3

d=2, e=3

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Let's call the angles 2x, 3x, 5x and 8x and since the sum of angles in a quadrilateral is 360 degrees we can write:

2x + 3x + 5x + 8x = 360

18x = 360

x = 20 which means the angle measures are 40°, 60°, 100° and 160°

Answer:

40°,60°,100° and 160°

Step-by-step explanation:

First add all the ratio's together

2 + 3 + 5 + 8 = 5 + 13 = 18

Now we utilise the fact that angles in quadrilaterals add up to 360. We form an equation like this 18x = 360 to find the value of x and then substitute back into the ratio's

18x = 360

→ Divide both sides by 18 to isolate x

x = 20

Multiply 20 by each of the ratio's to find the angles of this quadrilateral

2 × 20 = 40

3 × 20 = 60

5 × 20 = 100

8 × 20 = 160

So the angles of a quadrilateral with the ratio of 2: 3 : 5 : 8 is 40,60,100 and 160

Answer:

25 sin 42 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite/ hypotenuse

sin 42 = x / 25

Multiply each side by 25

25 sin 42 = x/25 *25

25 sin 42 =x

Answer:

A

Step-by-step explanation:

Answer:it’s C

Step-by-step explanation:

Answer:

141414

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Is means equals and of means multiply

24 = 15% * N  where N is the unknown number

Change to decimal form

24 = .15 N

Divide each side by .15

24/.15 = .15N/.15

160 = N

Answer:

160 because 15% of 160 is 24 meaning 24 is 15% of 160

Step-by-step explanation: