There are 10 girls in the class. This is three less thank half the number of boys . How many boys are in the class?

9514 1404 393

Answer:

  A.  x −3y = 6; 5x −y = 10

Step-by-step explanation:

The first table gives the x- and y-intercepts, so you can write the equation for the line in intercept form as ...

  x/a +y/b = 1 . . . . . . x-intercept = a; y-intercept = b

The x-value with y=0 is a=6; the y-value with x=0 is b=-2. So, the equation of the line for the first table is ...

  x/6 +y/-2 = 1

Multiplying by 6 gives ...

  x -3y = 6

The only matching equation is in answer choice A.

__

You can check that the second given equation in choice A matches the second table:

for (x, y) = (-3, -25), you have ...

  5(-3) -(-25) = -15 +25 = 10 . . . . as required

Step-by-step explanation:

if I understand this right, then you need paint and additional supplies.

but I don't see any information indicating how many gallons of paint I will need.

so, I can go only with the 1 gallon specified.

so,

1×30 + 60 = $90

we can save $45 per month.

then we need

90 / 45 = 2

months to have enough money.

please update the numbers to how many gallons you really need, and then take that result and divide it by the 45 savings per month.

Answer:

3/4

Step-by-step explanation:

because there are 4 parts and only three are shaded so 3/4

3/4 or .75 or 75%

Answer:

Step-by-step explanation:

Given function:

Complete table by finding y values:

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Item a:

This probability is P(X = 0) when n = 3(none of the first three) multiplied by 0.55(the fourth does live within five miles), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]

[tex]p = 0.091125(0.55) = 0.0501[/tex]

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

[tex]E = \frac{q}{p}[/tex]

In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:

[tex]E = \frac{1}{0.55} = 1.82[/tex]

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]

Hence:

[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]

The standard deviation is of 1.22 students.

Item d:

This probability is P(X = 3) when n = 5, hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]

0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

Hence:

[tex]E(X) = 5(0.55) = 2,75[/tex]

It is expected that 2.75 students live within five miles of you.

A similar problem is given at https://brainly.com/question/25343741

Answer:

g ≤ 6

Step-by-step explanation:

The number of goldfish that can live in the tank is less than or equal to 6.

Answer:

2

Step-by-step explanation:

$ 1.55 + $1.65 = $3.11

the budget is $7.95

$7.95 ÷ $3.11 = 2.5 but since you can't get half a milk it's 2

Answer:

30

Step-by-step explanation:

Hope this helps!!! :))

Step-by-step explanation:

x = number of hours driven

25 minutes = 5/12 hour

remember,

1 hour = 60 Minuten

5 minutes = 60/12 minutes = 1/12 hour

25 minutes = 5×5 minutes = 5/12 hour

x hours × 40 miles/hour = (x + 5/12) hours × 30 miles/hour

the dimensions "hour" eliminate each other from the top and the bottom of the fractions leaving only miles. and the miles must be the same either way.

40x = (x + 5/12)×30 = 30x + 150/12

10x = 150/12

x = 15/12 = 5/4 hours

40 miles/hour × 5/4 hours = 40×5/4 miles = 10×5 = 50 miles.

I drove 50 miles.

Answer:4$

Step-by-step explanation

The cost of one token is 7.2 dollars.

A linear equation is an algebraic equation of highest degree 1 the number of variable is 1 also.

According to the given question Jane & Jim spent the same amount of money today.

Jim spent 5.25 dollars on food and rode the train 3 times, and Jane spent 12.45 dollars on food and rode the roller coaster twice.

Assuming cost of a token to be T.

∴ 5.25 + 3T = 12.45 + 2T.

3T - 2T = 12.45 - 5.25

T = 7.2.

learn more about linear equation here :

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Answer:

29 x 8 = 191

62 x 19 = 1,178

8.7 x 12 = 104.4

11.9 x 4 = 47.6

45 x 6 = 270

Answer:

A is the correct answer because all sides are congurent

A parallelogram has two pairs of parallel sides.

opposite sides and opposite angles are congruent.

Option D is the correct answer.

We have,

Parallelograms have several notable properties:

Opposite sides are parallel:

In a parallelogram, opposite sides are parallel, meaning they never intersect and have the same slope.

Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths. This property applies to both pairs of opposite sides.

Opposite angles are congruent:

The opposite angles of a parallelogram have equal measures. This property applies to both pairs of opposite angles.

- Consecutive angles are supplementary.

- Diagonals bisect each other.

- Diagonals create congruent opposite triangles.

- Diagonals create equal opposite angles.

Thus,

A parallelogram has two pairs of parallel sides.

opposite sides and opposite angles are congruent.

Learn more about parallelograms here:

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Hello, hope you are having a splendid day.

-6x+30<-18

First, move all the numbers to the right, using the opposite operation:

-6x<-18-30

-6x<-48

Divide both sides by -6:

x>8

Now, if we divide both sides by a negative variable, we change the inequlaity sign.

Hope it helps.

Ask me if you have any queries.

[tex]MagicalNature[/tex]

Good luck.

Answer:

[tex]\boxed{\boxed{\sf x>8}}[/tex]

Step-by-step explanation:

[tex]\sf -6x\:+\:30\:<\:-18[/tex]

Subtract 30 from both sides:

Multiply both sides by -1 :

Divide both sides by 6:

___________________________________

We want to answer different things regarding linear equations.

The answers are:

1) We want to see which function matches the given graph.

So, we can see that this is a linear function, that passes through the origin, so the y-intercept is y = 0.

We also can see that it passes through the point (2, 1).

Then we have that:

1  = a*2 + 0

1/2 = 0.5 = a

So the linear equation is:

y = 0.5*x

Here the correct option is d.

2) We know the relation:

distance = speed*time

So any permutation of these values can be used to find the time.

Then the option that can not be used to find the travel time is:

b) 70/200 = t

Because in this case, we are taking:

speed/distance = time

And that is incorrect.

3)  We have the formula:

500 = 100*x

Again, using:

Distance = speed*time

The options that are correct are the ones where 500 represents a distance and the 100 represents time or speed, then the correct options are:

a and c.

If you want to learn more, you can read:

https://brainly.com/question/2263981

Answer:

1 and -7

your first choice in the list

Step-by-step explanation:

yeah, this one was fun.

The left pic :

[tex]x = 46 \times \cos(70°) [/tex]

[tex]x = 46 \times 0.342[/tex]

[tex]x = 15.732[/tex]

_____________________________________________

The right pic :

[tex] \tan(18°) = \frac{15}{x} \\ [/tex]

[tex]0.325 = \frac{15}{x} \\ [/tex]

Thus :

[tex]x = \frac{15}{0.325} \\ [/tex]

[tex]x = 46.1538[/tex]

There u go ...

Have a great day ❤

Answer:

0.24

Step-by-step explanation:

There is nothing, after the hundredths (4), to round it, So 0.24 is already rounded to the nearest hundredths.

The number 0.024 after rounded off to the nearest hundred its become 0.02.

Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Given that;

The number is,

⇒ 0.024

Now, After rounding off to the nearest hundred, we get;

⇒ 0.024 ≈ 0.02

( Because 4 is less than 5. )

Learn more about the rounding number visit:

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Answer:

28 +3 +2+4+12=49

49÷5=9.8

Answer: 100

Step-by-step explanation: 50 x 1/2=100

Explanation:

We plug in x = -2 and solve for y

x+4y = 14

-2+4y = 14

4y = 14+2

4y = 16

y = 16/4

y = 4

Therefore, the point (-2, 4) is on the line x+4y = 14.

Answer:

Step-by-step explanation:

opposite corners first, then adjacent corners, and so on

Answer:

$0.97

Step-by-step explanation:

7328*100/108^(4*29)

a bunch of math later, with rounding...

0.97

*note-may be wrong

Answer:

The mileages for which company A charge less than company B when , y  50 .

Step-by-step explanation:

Given as :

The two truck companies have following prices

Company A

The initial fee = i = $110

And unlimited mileage

Company B

The initial fee = I = $65

Additional charge = $0.90 per mile driven

Let it driven x mile

Let The mileages for which company A charge less than company B = y

Now, According to question

Charges of company A = charges of company B

i.e i = I + 0.90 × x

Or, $110 = $65 + 0.90 × x

Or, $110 - $65 = 0.90 × x

Or, $45 = 0.90 × x

∴    x =  

i.e  x = 50

i.e.  Company B driven x = 50 miles

So, the mileages for which company A charge less than company B = y

And y x

i.e. y 50

Hence, The mileages for which company A charge less than company B when, y 50. Answer

Step-by-step explanation:

Hope this helps:)

Answer:

[tex]7/2x + 3/2 = 3/2 <=> x = 0[/tex]

Step-by-step explanation:

Answer:

50+90+3x+1=180.....................

Answer:

83

Step-by-step explanation:

The pattern is -4 then +2

Answer:

1) 5x+2=17

2) 5(2+x)=17

Step-by-step explanation:

1) subtract 2 from both of the sides, then you get 5x=15. Divide 5 on both sides, then you get X=3

2) Use distributive property and multiply 5 and 2 and you get 10, then do the same thing with the x. You should get 10+5x=17. Subtract 10 from both sides. Then you are left with 5x=17, divide 5 on both sides you should get x=7/5

Hope this helps!

Answer:

1.$2.89

Step-by-step explanation:

1/3 off $ 0.38 $ 0.25

2 for 1 at $ 5.78 $ 2.89

Answer:

343

Step-by-step explanation:

[tex]7^{3} = 7 * 7 * 7[/tex]

[tex]7^3 = 343[/tex]

-Chetan K