A high school graduating class is made up of 351 students. There are 73 more girls than boys. How many boys are in the class?

Answers

Answer 1

Answer:

let x be the number of boys

given, the number of girls are 73 more than the number of boys, meaning number of girls is x + 73

also given is that x + x + 73 = 351

2x + 73 = 351

2x = 351 - 73

2x = 278

x= 139

There are 139 boys

There will be 139 + 73 = 212 girls

139 + 212 = 351 which is the total number of students

Answer 2

let x be the number of boys.

Given, that the number of girls is 73 more than the number of boys, meaning the number of girls is x + 73

also given is that

x + x + 73 = 351

2x + 73 = 351

2x = 351 - 73

2x = 278

x= 139

There are 139 boys

There will be 139 + 73 = 212 girls

139 + 212 = 351 which is the total number of students.

What is the term for graduating high school?

To graduate means to successfully complete your schooling, to become "a graduate." When you graduate from high school, you become a high school graduate and congratulations are in order. A graduate is someone who has received a degree from a school.

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Related Questions

If 2x + y = 32 and 3x + 4y =68 find the value of x/y

Answers

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...


A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to the nearest hundredth (2 decimal places) or leave your answer in Pi form

Answers

Answer:

500 /3 pi cm^3

Step-by-step explanation:

The side length of the cube is 10 cm, so the diameter of the sphere is 10 cm

That means the radius is  

r =d/2 =10/2 = 5 cm

The volume of a sphere is

V = 4/3 pi r^3

  = 4/3 pi (5)^3

  = 500 /3 pi cm^3

Answer:

Your correct answer is 500/3 cm^3

I will show you how and tell you why it is 500/3 cm^3 down below:

Explanation:

The side length of the cube is 10 cm therefore, the diameter of the sphere is 10 cm so, the radius is 5 cm:

r = d/2 = 10/2 = 5 cm

and right here I will show you the volume of the sphere:

v = 4/3 r^3

= 4/3 (5)^3

= 500/3 cm^3

Showing these results, you can see that the answer is 500 /3 cm^3

What’s the 73rd term of the sequence 18,30,42

Answers

Answer:

Let's find the explicit rule for this arithmetic sequence. We have:

aₙ = a₁ + (n - 1) * d

   = 18 + 12 * (n - 1)

   = 12n + 6.

The 73rd term is 12 (73) + 6 = 882.

What is the greatest common factor of the terms in the expression StartFraction 7 over 3 EndFraction a b minus StartFraction 7 over 6 EndFraction b? One-third b One-third a b 7 b 7 a b

Answers

Answer:

(C)7b

Step-by-step explanation:

Given the expression:

[tex]\dfrac{7}{3}ab-\dfrac{7}{6}b[/tex]

Let us factor the expression:

[tex]=\dfrac{7b}{3}\left(a-\dfrac{1}{2}\right)[/tex]

Since we need the greatest common factor, we can rewrite the expression as:

[tex]7b\left(\dfrac{1}{3}a-\dfrac{1}{6}\right)[/tex]

Therefore, the greatest common factor is 7b.

The correct option is C.

Answer: C. 7 b

Step-by-step explanation:

Got it right on edge

Need help with this Pls!! Show work

Answers

Answer:

2200[tex]\pi[/tex] cm

Step-by-step explanation:

V= [tex]\pi[/tex]r²h

V= [tex]\pi[/tex](10)²22. Since it is filled 3 cm from the top, you can subtract 3 from the height

V= [tex]\pi[/tex](100)(22)

V= 2200[tex]\pi[/tex] cm

M is directly proportional to r cubed when r = 4 m = 160 work out the value of r when m = 540

Answers

Answer:

So we use a technique called Ratios. If the ratio of r:m = 4:160. We can work out how we can get r if m is equal to 540. First lets make the ratio for it -

r:540. Now we need to get the number 540 and divide it by 160, this will tell us how much we need to multiply by. 540/160 = 4. So now we know that our multiplier is 4. Then we need to multiply 4 by 4 . That gives us 16 therefore the answer to this question is 16.

Brainliest?

This answer took a long time to write, so I hope you appreciate it.

5. Jason works at a local fish and chips restaurant.
He earns $7/h during the week, and $9/h on the weekend.
a) Jason works 8 h during the week and 12 h on the weekend.
Write an expression for his earnings.
b) Jason works x hours during the week, and 5 h on the
weekend. Write an algebraic expression for his earnings.
c) Jason needs $115 to buy sports equipment.
He worked 5 h on the weekend.
How many hours does Jason need to work during the week to
have the money he needs?

Answers

Answer:

a) 7(8)+9 (12)

b)7x+45

c )10 hours

Step-by-step explanation:

Hi, to answer this question we have to write an expression

The amount earned by Jason must be equal to the product of the amount he earns per hour during the week (7) and the hours worked during the week (x) ; plus the product of the amount he earns per hour during the weekend ( 9) and the hours worked during the weekend (y):

7x+ 9y

a) substitute x=8 and y=12

7 (8)+ 9 (12)

b) substitute y =5

7 x +9(5) =

7x+ 45 =

c)

Substitute y=5 and the expression must be equal to the amount he needs to buy sports equipment (115):

7x+9 (5)=115

Solving for x:

7x + 45 =115

7x = 115-45

7x = 70

x =70/7

x =10 hours

What is the theme of a story? 100 PTS!

Answers

Answer:

The theme in a story is its underlying message, or 'big idea".

Answer: its underlying message, or 'big idea. ' In other words, what critical belief about life is the author trying to convey in the writing.

Step-by-step explanation: what the author is trying to tell you.

2x - 15
x+9
For what value of x would the expression be undefined

Answers

Answer:

Undefined when x = -9

Step-by-step explanation:

(2x-15)/ (x+9)

This would be undefined when the denominator is 0

x+9 =0

x = -9

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

9. Determine the equation of a line that passes though the points (3,-4) and (6,2). [​

Answers

Answer:

y=2x-10

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,-4), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=-4.

Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.

Now, just plug the numbers into the formula for m above, like this:

m=

2 - -4

6 - 3

or...

m=

6

3

or...

m=2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

What is the range of the function shown in the graph?

Answers

The range of the graph is  -∞ ∠ y ∠ 5, which is option a.

What is range in Function?

The range of a function is the set of numbers that the function can produce. In other words, it is the set of y-values that you get when you plug all of the possible x-values into the function.

In the given graph

Red line shows the value of y when we put the value of x.

and the line goes down towards negative y upto infinity and on another side at constant value 5 when put x any value.

that means y lies between negative infinity ( -∞ ) and 5

Hence, The range of the graph is  -∞ ∠ y ∠ 5.

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Teena's calculator is broken and does not have key 9 that works! With this broken calculator she found out the value of (-35) x 99. Explain your reasoning carefully and clearly

Answers

Answer:

(-35) * (100 - 1)

Step-by-step explanation:

She was able to find the value of (-35) * 99 without using the missing 9 button on her calculator.

The easiest way to do this is to replace 99 with another set of numbers that has the same value as 99.

(100 - 1) has the same value as 99. So, Teena can replace 99 with (100 - 1):

(-35) * (100 - 1)

It will yield the desired result.

Se sabe que el 20% de todas las personas a quienes se administra cierto medicamento se siente muy mal en 2 minutos; encuentra la probabilidad de que entre 14 personas a las que se les administra este medicamento: a) A lo sumo 2 se sientan muy mal en dos minutos b) Por lo menos 5 se sientan muy mal en dos minutos c) De 2 a 4 se sientan muy mal en dos minutos

Answers

Answer:

a) 0.4481

b) 0.1298

c) 0.6722

Step-by-step explanation:

English Translation

It is known that 20% of all people given a certain medicine feel very bad in 2 minutes; Find the probability that among 14 people who are given this medicine:

a) At most 2 feel very bad in two minutes

b) At least 5 feel very bad in two minutes

c) From 2 to 4 they feel very bad in two minutes

Solution

This is a binomial distribution problem

A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure.

The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 14

x = Number of successes required

p = probability of success = probability of feeling bad after taking the medicine = 20% = 0.20

q = probability of failure = probability of NOT feeling bad after taking the medicine = 1 - 0.20 = 0.80

a) At most 2 feel very bad in two minutes

P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)

= 0.04398046511 + 0.15393162789 + 0.25013889532 = 0.44805098832 = 0.4481

b) At least 5 feel very bad in two minutes

P(X ≥ 5) = 1 - P(X < 5) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)]

= 1 - [0.04398046511 + 0.15393162789 + 0.25013889532 + 0.25013889532 + 0.17197049053] = 0.12983962583 = 0.1298

c) From 2 to 4 they feel very bad in two minutes

P(2 ≤ X ≤ 4) = P(X=2) + P(X=3) + P(X=4)

= 0.25013889532 + 0.25013889532 + 0.17197049053 = 0.6722482811 = 0.6722

Hope this Helps!!!

(78 + 47) divided by 25

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

78 + 47 = 125

125/25 = 5

Q 1: There are n boxes in a large bag and m toys in each box. What is the total number of toys in the bag? Q 2 :The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle.

Answers

Answer:

Q1: n*m

Q2: A = 3x+6

Step-by-step explanation:

Q1: The total number of toys in the bag is given by the number of boxes (n) in the bag multiplied by the number of toys in each box (m):

[tex]T = n*m=nm[/tex]

Q2: The area of a rectangle is given by the product of its height by its length:

[tex]A = (x+2)*3\\A=3x+6[/tex]

The area of this rectangle is given by the expression A = 3x+6.

Rain and Hantavirus in Mice Hantavirus is carried by wild rodents and causes severe lung disease in humans. A recent study1 on the California Channel Islands found that increased prevalence of the virus was linked with greater precipitation. The study adds "Precipitation accounted for of the variation in prevalence."

Answers

Answer:

The overview of the given situation is described in the explanation segment below.

Step-by-step explanation:

By the details received, the reference variable becomes actual prevalence or occurrence of another virus whereas the descriptive variable becomes precipitation 'Precipitation compensated for 79% throughout variability with prevalence.'

As we know that the determination's coefficient will be:

⇒  [tex]R^2[/tex]

(Percent of variance in the answer variable described by the explanatory variable).

Now the correlation among the two variables will be:

As we know,

⇒  [tex]r^2=R^2[/tex]

⇒  [tex]r^2=0.79[/tex]

⇒  [tex]r=\sqrt{0.79}[/tex]

⇒  [tex]r=0.889[/tex]

The percentage value of 79% given in the context is the percentage of variation in the prevalence of Hantavirus which can be explained by precipitation. Hence, the coefficient of determination, .

The Coefficient of determination is a metric used in modeling to show how the proportion of the change in the dependent variable which is due to the independent variable.

The Coefficient of determination, ranges between 0 and 1 with 1 meaning 100%.

Hence, the metric shows that 79% of changes in prevalence is caused by the regression line, hence the value.

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solve for x
5(x+9)=-45
i need help ASAP

Answers

Answer:

x = -18

Step-by-step explanation:

5 ( x + 9 ) = -45

→ Expand out the brackets to simplify the equation

5x + 45 = -45

→ Minus 45 from both sides to isolate 5x

5x = - 90

→ Divide both sides by 5 to isolate x

x = -18

Answer:

x= -18

Step-by-step explanation:

5*(x+9)=-45

:5            :5

x+9=-9

-9       -9

x= -9-9

x= -18

What is the probability of rolling a die and it landing on a number less than 3?

Answers

Answer:

2/6 (33.33%)

Step-by-step explanation:

Answer:

The answer would be 1/3

Step-by-step explanation:

There are 6 faces in a dice and 2 of which are less than three. So the answer would 2/6 which is simplified as 1/3.

Ayuuuuuuddddaaaaaa!!!

Answers

Answer:

Los triangulos son iguales porque tienen dos lados y el angulo comprendido  respectivamente iguales, por tanto

[tex]3x = x+8\\2x=8\\x=4\\[/tex]

Factor 9x6 – 16 y completely.
First factor each term.
9x6 = (__)?
16y6 = ()2
Then use a? - b2 = (a - b)(a + b). Show your work.
9x6 – 16y6 =

Answers

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Step-by-step explanation:

9x^6 – 16 y^6

Rewriting as

(3x^3) ^2 - ( 4y^3) ^2

This is the difference of squares a^2 - b^2 = (a-b)(a+b)

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Can someone please help me?

Answers

Hey I think it’s STR ~ RTQ, hope it helps

A taxi cab charges $1.75 for the flat fee and $0.25 for each mile. Write an in equality to determine how many miles Eddie can travel if he has $15 to spend. A. $1.75 + $0.25x ≤ $15 B. $1.75 + $0.25x ≥ $15 C. $0.25 + $1.75x ≤ $15 D. $0.25 + $1.75x ≥ $15

Answers

Answer:

A. $1.75 + $0.25x ≤ $15

Step-by-step explanation:

This is because if Eddie has 15 dollars, he can only use 15 dollars or less. So in this case, the inequality would have to be less than or equal to 15 dollars.  

Eddie travel $1.75 + $0.25x ≤ $15 miles when he has $15 to spend.

Option A is the correct option.

Here,

Amount of flat fee of taxi cab = $1.75

Amount of charge for each miles = $0.25

The amount Eddie has to spent = $15

We have to find inequality relationship.

What is inequality?

The relationship between two values that are not equal is defined by inequalities.

Now,

Amount of flat fee of taxi cab = $1.75

Amount of charge for each miles = $0.25

The amount Eddie has to spent = $15

Let Eddie travel x miles.

Therefore, the total charge of taxi cab = $1.75 + 0.25x

And this amount should not exceed the $15 as it is the only amount Eddie has.

Hence the inequality relationship be,

$1.75 + 0.25x ≤ $15.

Option A is the correct option.

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What percentage of 220 is 130?

Answers

Answer:

59.09%

Step-by-step explanation:

You find it through the following formula:

Part divided by whole times 100.

Substitute it and you get the answer:

130 / 220 times 100 = 59.09

please help me, with full explanation!!!!

Answers

Answer:

9.54 cm

Step-by-step explanation:

In triangle ABD, AD is the hypotenuse (longest side)

We know that according to Pythagoras theorem,

a^2+b^2=c^2

In the figure, c (10cm) and a (5cm) is given. So,

(5)^2 + b^2 = 100

25+b^2 = 100

b^2 = 75

So b is √75 = 8.66

Therefore BD is 8.66 cm

Now even BDC is a triangle

In it, the hypotenuse is missing but we know the value of other sides

so, in Pythagorean theorem,

a=4 (CD)

b=8.66 (BD)

c=x

Therefore,

(4)^2 + (8.66)^2 = x^2

16+74.99= x^2

x^2 = 90.99

x= 9.54 cm

Hope this helps!

Can someone please help me please please

Answers

Answer:

AA similarity postulate

Step-by-step explanation:

B and D are corresponding angles who both have measures of 50 degrees, which makes one pair of angles for this postulate. The other pair are ACB and ECD, because they are vertical angles and therefore congruent. Since when two angles in two triangles are the same, the third must be the same as well, these triangles must be similar. Hope this helps!

A music teacher bought 19 recorders. She
spent a total of $57. Each recorder was
the same price. The equation 19r = 57
can be used to find r, the price of each
recorder in dollars. What was the price
of each recorder?

Answers

Answer:

r = 57/19 = 3

Step-by-step explanation:

Sue either travels by bus or walks when she visits the shops. The probability that she catches the bus from the shops is 0.7. Show that the probability that she walks at least one way is 0.72

Answers

Corrected Question

Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72

Answer:

[tex]P(A \cup B) =0.72[/tex] (Proved)

Step-by-step explanation:

Sue travels by bus or walks when she visits the shops.

Let the event that she catches the bus to the shop=A

Let the event that she catches the bus from the shop=B

P(A)=0.4

P(B)=0.7

Both A and B are independent events.

Therefore,Probability that she catches the bus to and from the shop:

P(A∩B) = 0.4 X 0.7= 0.28

Probability Sue walks at least one way [tex]P(A \cup B) = 1 - P(A \cap B)[/tex]

[tex]= 1 - 0.28\\= 0.72[/tex]

Hence, the probability that Sue walks at least one way is 0.72.

At a sale , dresses were sold for 35% of their original price. If the dresses originally cost 40$ each how much did a dress cost on sale

Answers

Answer:

$14

Step-by-step explanation:

35% is the same as multiplying by .35

40 * .35 = 14

5
and
4i
What is the distance

Answers

Answer:

=√41

Steps:

D=√(5-0)²+(4-0)² =  √25+16 = √41

The answer for this question is =√41

1: D=√(5-0)²

2: +(4-0)²

3:  =  √25+16

4:  = √41

Please mark brainliest

Hope this helps.

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