There are two classrooms available for the upcoming debate tournament. Room A has a capacity of 28 and room B has a capacity of 35. If
there are 253 students participating in the tournament write an inequality to represent how many possible sessions there would have to
be, given that both rooms could be used at once? Let a represent room A and b represent room B.

Answers

Answer 1

Answer:

first one

Step-by-step explanation:


Related Questions

the temperatue dropped 4C every hour for 8 hours what was the total number of degrees the temperature changed in 8 hours

Answers

I think it dropped 31c

Tell whether the equation has one, zero, infinitely many solutions.
3 ( y-2) = 3y - 6

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

Hi there !

3(y - 2) = 3y - 6

3y - 6 = 3y - 6 | + 6

3y = 3y

true ∀ y ∈ R

Good luck  !

help mehhhhhhhhhhhhhhhhhhhhhhh ;(

Answers

Answer:

180 minutes in 3 hours 225 miles in 3 hours

Step-by-step explanation:

I NEED HELP PLEASE!!!!!!!!!! O///O
How can you look at the equation of two lines and determine if they will be parallel?

Answers

Answer:

If the slope is the same but the intercept is different

i.e.

y=2x+1

y=2x+2

Step-by-step explanation:

If the slope is the same the lines are parallel, but if the y-intercept is also the same the lines have infinite solutions.

A,C and D are points on a circle of radius 4 cm, centre o. BA and BC are tangents to the circle. OB=10cm work out the length of arc ADC. give your answer correct to 3 significant figures

Answers

Answer:

Step-by-step explanation:

OB = 10 cm

OA = OC = Radius = 4 cm

COS <AB = OA/OB = 4/10 = 2/5 =

COS< COB = OC/OB = 4/10 = 2/5

=> <AOC = <AOB + <COB

=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)

=> <AOC = 2 Cos-¹(2/5)

=> <AOC = 2 * 66.42

=> <AOC = 132.84°

if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm

if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm

What is the solution set of the inequality for 6x – 12 > 30?

Answers

Answer:

x > 7

Step-by-step explanation:

6x - 12 > 30

add 12 to 30

6x > 42

divide 6 to 42

x > 7

Not sure if this is what you needed but hope this helped!!!

A triangle has sides with lengths of 7 millimeters, 8 millimeters, and 10 millimeters. Is it a
right triangle?

Answers

Answer:

Depends if you are averaging C or not.

Step-by-step explanation:

Use the pythagorean theorem to solve this.

c = √a^2 + b^2

A and B should be two of your sides and C should equal your third side. If C is incorrect, it is not a right triangle. I plugged in 7 for A and 8 for B. The answer was about 10.63. If you are supposed to round C then yes, it is a right triangle. If you aren't supposed to round C (probably not) then no, It isn't a right triangle.

The heights of American men aged 18 to 24 are approximately Normally distributed with a mean of 68 inches and a standard deviation of 2.5 inches. Only about 5% of young men have heights outside the range​

Answers

(Hope that helps (= The given says the height distribution is normally distributed with the mean height equal to 68 inches. In this case, the bell-shaped curve has a vertical symmetry at 68 inches. This means, half of the mean exceeds 68 inches while the other half has height below 68 inches.

The height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

How to get the z scores?

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For this case, let we take:

X = height of American men from age 18 to 24[a,b] = range of height (the values of X) outside which there lies only 5% of American men.

Then, according to the given data, we have:
[tex]X \sim N(\mu = 68, \sigma = 2.5)[/tex]

where [tex]\mu[/tex] is mean value of X and [tex]\sigma[/tex] is standard deviation of X (both in inches).

Also, we can write:

[tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex]

Since normal distribution is symmetric about its mean, we can take a and b equidistant from the mean, so as to get a symmetric range which makes much more sense than taking an asymmetric range which doesn't comply with the nature of values of X.

Thus, we have:

[tex]\mu - a = b - \mu\\b = 2\mu - a[/tex]

From this result and [tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex], we get:
[tex]P(X < a) + P(X > 2\mu -a) = 0.05[/tex]

Converting X to Z(the standard normal distribution), we get;
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]P(X < a) + P(X > 2\mu -a) = 0.05\\\\P(Z < z = \dfrac{x-\mu}{\sigma} = \dfrac{a-68}{2.5}) + P(Z > \dfrac{2(68) - a - 68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > \dfrac{68-a}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > -\dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z \leq \dfrac{a-68}{2.5}) = 0.05 \: \: \: \: (\because P(Z > -k) = P(Z \leq k))\\\\2P(Z < \dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) = 0.025[/tex]

Using the z-tables, we get the value of Z for which p-value is 0.025 as

-1.96

Thus, we get:
[tex]\dfrac{a-68}{2.5} = -1.96\\\\a = 68 + (-1.96 \times 2.5)\\a = 63.35[/tex]

Thus, we get: [tex]b = 2\mu - a = 2(68) - 63.35 = 72.65[/tex]

Thus, the range is [a,b] = [63.35, 72.65]

Thus, the height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

Learn more about standard normal distribution here:

https://brainly.com/question/10984889

In January Mr Patel's electricity meter reading is 36 517. During the next three months he uses 1 084 units of electricity. a) What is the reading on his meter at the end of these three months? b) In Janurary Mr Patel'a gas meter reading is 51 314. Three months later it is 51 809. How many units of gas has he used? c) Electricity costs 12 pence per unit. Gas costs 8.6 pence per unit. Work out the total cost of Mr Patel's gas and electricity for these three months. Give your answer in pounds.

Answers

Answer: 172.65 pound

Step-by-step explanation:

a. What is the reading on his meter at the end of these three months?

January's electricity meter reading = 36,517.

Electricity used for next three months = 1 084 units

Meter reading at the end of the three months will be:

= 36517 + 1084

= 37601

b. In Janurary Mr Patel'a gas meter reading is 51 314. Three months later it is 51 809. How many units of gas has he used?

This will be:

= 51,809 - 51,314

= 495 units

c. Electricity costs 12 pence per unit. Gas costs 8.6 pence per unit. Work out the total cost of Mr Patel's gas and electricity for these three months.

Electricity used for next three months = 1 084 units

Gas used for next three months

= 495 units

Cost = (1084 × 12pence) + (495 × 8.6 pence)

= 13008 pence + 4257 pence

= 17265 pence = 172.65 pound

Divide. 495 ÷ 10,000 = _____ 4.950 0.0495 0.4950 0.00495

Answers

Answer:

0.0495

Step-by-step explanation:

used a calculator

0.0495.

[tex]495 / 10000 = 0.0495.[/tex]

B)

PLS HELP THIS IS HOMEWORK AND ITS DUE TOMORROW

3. Which equation can be used to find the measurement of ∠MNO, if the value of ∠LMN is 77 degrees? *

Answers

Answer:

154+2x=360

Step-by-step explanation:

Since the opposite angles are the same you add them together getting 154. You now have two unknown angles that are congruent which is expressed as 2x, and since a four sided shape always has an interior angle of 360 you set it equal. This gives you 154+2x=360.

Answer: It is the last one

154 + 2x = 360

Step-by-step explanation:

x= 103

154 + 2(103)= 360

154 + 206 =360

1/9 of 54 bottles of water = ? bottles

Answers

Answer:

6

Step-by-step explanation:

If you divide 54 in 9 parts it will come out to 6, to check this work divide 54 by 6.

6

Step-by-step explanation:

First you would turn it into a decimal to get .111 repeating then you would multiple it by 54 to get 5.99 repeating do you would round up to get 6

Troy has a price chart below for various ingredients he needs to order for his sandwich bar. Sandwich Ingredients Item Cost (per pound) Onions $0.79 Tomatoes $0.93 Cheese $1.85 Ham $3.15 Turkey $3.40 Troy has to order 8 pounds of ham, 15 pounds of cheese, and 12 pounds of turkey. What is the total cost of Troy's order? $93.75 $110.25 $204.23 $293.66

Answers

Answer:

$93.75

Step-by-step explanation:

The computation of the total cost of order is shown below:

The Cost of 8 pounds of Pepperoni is

=  8 × $3.15

= 25.2

The Cost of 15 pounds of cheese is

= 15 × $1.85

= $27.75

The Cost of 12 pounds of sausage is

= 12 × $3.40

= $40.8

So, The total cost is

= $25.2 + 27.75 + $40.80

= $93.75

Answer:

a

Step-by-step explanation:

Helppp asappp pleaseee. What is the slope of a line perpendicular to the line whose equation is
2x – y = -8. Fully reduce your answer.

Answers

Answer:

-1/2

Step-by-step explanation:

2x-y=-8 --> y=2x+8 (slope: 2)

to be perpendicular, the product of two slopes should be -1

thus, the slope of a line perpendicular to this one is -1/2

Evaluate the given question.

Answers

Answer:

In this case since you have fraction you must make sure the limit x value does not make the denominator 0. In this case it does, so you have to factor the expressions to try to cancel out like terms when dividing. Use the method of factoring polynomials to find the solution. It is too late for me but I told you how you can answer it. Once you can plug in 2 into the denominator and not get 0, you can evaluate the limit. Keep practicing!

Step-by-step explanation:

Someone pls help me.

Answers

identity property in multiplication goes to the second option

commutative property goes to the first option

identity property in addition goes to the last option

associative property goes to the fourth option

distributive property goes to the third option

I may have gotten some wrong , if I did I am very sorry,if i didnt get any wrong, then I hoped this helped!

Whoever can help me 1st I will mark the brain liest​

Answers

A is 163 and C is 143

?
Select the correct answer.
No, they only have 1 corresponding equal angle.
Yes, they have 2 corresponding equal angles
No, they are not the same size.
Yes, they are the same shape.
Help

Answers

Answer:

yes they have 2 corresponding equal angles.

Which is the better buy, 6 bagels for $3.29 or 8 bagels for $4.15? Justify your answer.

Answers

Answer:

The better deal is  8 bagels for $4.15

Step-by-step explanation:

6 bagels for $3.29

3.29/ 6 = $.54833333 per bagel

8 bagels for $4.15

4.15/ 8 =$.51875 per bagel

The better deal is  8 bagels for $4.15

Answer:

buy 8 bagles

Step-by-step explanation:

because you can get more for less like if their were selling toy cars 4 for 2 and at the truth store it was 10 for 1 wich would you rather choose

Luke is a dog walker. He gets $10 per day for walking his neighbor's dogs. He recently snapped his surfboard and wants to buy a used surfboard for $325. If he has $142 in the bank, how many days will he have to walk the dogs to earn enough for the board?

Answers

Answer:

10$

Step-by-step explanation:

Jaxon earned $123.90 at his job when he worked for 7 hours. How much money did he earn each hour?

Answers

Answer:

$17.70

Step-by-step explanation:

123.90 / 7 = 17.7

Doug is a zookeeper in charge of monitoring the "aquatic" section at the North End Zoo. A baby dolphin was born on Wednesday and weighed 31 pounds. The dolphin is growing at an average rate of 2.3lbs per day. Write a function that can be used to find the weight, w(x), of the dolphin after x, days.

Answers

Answer:

w(x)=2.3x+31

Step-by-step explanation:

From the information given, the function would indicate that the weight of the dolphin after x days would be equal to the 31 pounds the baby weighed when it was born plus 2.3 lbs that is the average rate it is growing for the number of days:

w(x)= 2.3x+31, where:

w(x)= weight of the dolphin

x=number of days


A 20 gallon tank is 3/4 full. How many gallons are in the tank?

Answers

Answer:

15 gallons

Step-by-step explanation:

(3 / 4) * (20 US gallons)

= 15 gallons

Answer:

15 gallons are in the tank

Step-by-step explanation:

3/4(20)

Solve 5(x+9) - 4 = 71 for x

Answers

Solving for x you would get X=6

Answer:

x = 6

Step-by-step explanation:

5 times x is 5x, 5 times 9 is 45; 5x+49-4; 49 minus 4 is 45; 5x+45 = 75; now minus 45 from each side so it would now be 5x = 30; now divide; 30/5 = 6.

List the least common factor for 120
and 200

Answers

Answer: Lcm = 600

Step-by-step explanation: Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

Find the prime factorization of 200

200 = 2 × 2 × 2 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 3 × 5 × 5

LCM = 600

Answer:

600

Step-by-step explanation:

120= 2*2*2*3*5________eq1

200=2*2*2*5*5_________eq2

we get common factor from 1 and 2

2*2*2*5*3*5 = 600

so the least common factor is 600

y=-15+3x
solve for x

Answers

X= 5 hope this helps :)

Answer:

x=5+1/3y

Step-by-step explanation:

y=-15+3x

-3x=-15+y

Divide both sides of the equation by -3

x=5+1/3y

write an equivalent fraction of 7/8 5/12 4/18

Answers

Answer:

Step-by-step explanation:

7/8 is 63/72

5/12 is 25/60

4/18 is 8/36

HELP PLEASE ASAP
Which of the following are irrational numbers?
55
53
✓20
71
Submit

Answers

Answer: √20

Step-by-step explanation:

4.47213595 (the 5 repeats)

Can some one PLEASE answer these for me? (I’ll also mark you brainliest!)

Answers

AnswerAnwser key

Step-by-step explanation:

Answer:

1) -6

2) -8

3) 125185623/1000000000 ( i didn't really understand this one but i hope i got it right)

4) 1

5) 0.94736842

6) 4/5 = 5/4

I can only do up to there for now .... sorry

but i can do the second part in a few mins.

Step-by-step explanation:

i really hope this is right....

Isabella is having a party with 45 balloons. She needs 6 feet of string to attach to
each balloon. How much string would she need if it is sold by the yard? (Hint: 1
yard = 3 feet.)

Answers

Answer:

90 yards of string

Step-by-step explanation:

You multiply the 45 Balloons and 6 feet of string. Then u divide it by 3 bc there are 3 yards is a feet.

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It is believed that these hunger strikes may have contributed to his death on April 23, 1993.Chavez dedicated his life to improving the lives of farm workers, a life with which he was very familiar. Until he was ten, his parents had owned a farm. They lost this farm during the Great Depression, and he and his family became migrant farm workers. Chavez had to work even harder after his father was injured in an automobile accident. He knew all too well about the poor pay and terrible working conditions withstood by farm workers. Chavez used nonviolent means to fight for the improved treatment, pay, and working conditions of farm workers. He was instrumental in organizing one such famous strike against the California grape growers in 1965, a battle that lasted for years. At one point, Chavez even called for a national boycott against the grape growers. His efforts over the years resulted in several victories for farm workers. 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