Answer the question below

There was 4 boys and 11 girls in the class.

Let x represent the number of boys and y represent the number of girls.

Since the number of girls in the class was 1 less than 3 times the number of boys, hence:

y = 3x - 1

3x - y = 1         (1)

Also, there were 15 students in all, hence:

x + y = 15        (2)

Solving equations 1 and 2 simultaneously gives:

x = 4, y = 11

Hence, there was 4 boys and 11 girls in the class.

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Answer:

-x-x-0.7

is equivalent to 1-2x-1.7

Train 1 = x + 6.4

Train 2 = x

(x) + (x + 6.4) = 717.6

2x + 6.4 = 717.6

2x = 711.2

x = 355.6

Train 1 = 355.6 + 6.4 = 362 mph

Train 2 = 355.6 mph

Hope this helps!! :)

Answer:

y=2.50+175*(x-1)

$4727.50

Step-by-step explanation:

y=2.50+175*(x-1)

The first km costs 2.50 which is why you add it. You do x-1 because the 175 is charged for each additional km. So, if you traveled one km it would cost 2.50.

y=2.5+175*(28-1)

y=2.5+175*27

y=2.5+4725

y=$4727.50

Answer:

19 keyboards

Step-by-step explanation:

Let d = thumb drives; and k = computer keyboards

Total number of sales of thumb drives and keyboards is 50

50 = d + k

Rearranged:

d = 50 - k

Total revenue from the sale of $24 thumb drives and $49 keyboards is $1675

1675 = 24d + 49k

Sub in d = 50 - k

1675 = 24(50 - k) + 49k

1675 = 1200 - 24k + 49k

475 = 25k

k = 475/25

k = 19

(To check, d = 50 - 19 = 31)

Answer: 33

Step-by-step explanation: Let x equal the shorter piece.

x + (x + 18) = 84

2x + 18 = 84

2x = 66

x = 33

Answer:

Hii, okay so the answer 48

Step-by-step explanation:

Just subtract, Hope this helps :)

Answer:

24 years old

Step-by-step explanation:

Given information:

• Alvin is 11 years older than Ella.

• The sum of Alvin and Ella's ages is 59.

First, put the given information into an equation that can solve for Ella's age:

x = Ella's age

x + 11 = Alvin's age

x + x + 11 = 59        Combine like terms.

2x + 11 = 59            Subtract both sides of the equation by 11 to isolate x.

2x = 48                   Divide both sides by 2 to get the value of x.

x = 24

Ella's age is 24 years old.

Answer:

0.5 or 1/2

Step-by-step explanation:

-1+3[(10-12)^3÷(-16)]

(10-12)^3÷(-16)

(-2)^3=-8

-8÷(-16)=0.5

Answer:

1 yard = 3 feet

We can re-write this by dividing both sides by yards or feet to get

1 = 3 feet / 1 yard

or

1 yard / 3 feet = 1

Since we're solving for feet we want yards to cancel, so use the top proportion

(3 feet / 1 yard)(100 yards) = 300 feet / 1 = 300 feet

Answer:

(1,-9)

Step-by-step explanation:

During rotation anytime you rotate the figures the arrangement will change and also since you are rotating to 270 counter-clockwise(anti-clockwise)your answer will be (1,-9)

Answer: The correct answer is -1,9

Step-by-step explanation:

270 rule - (x, y) ⇒ (y, -x)

(-9, -1) ⇒ (-1, 9)

Answer:

If the inequality is "strict" ( < or > ), we use an open dot to indicate that the endpoint of the ray is not part of the solution. For the other types of inequalities ( ≤ and ≥ ), we use a closed dot to indicate that the endpoint is part of the solution.

Step-by-step explanation:

Answer:

the third one because it will make more sense

Step-by-step explanation:

Answer:

umm wait

Step-by-step explanation:

Answer:

Step-by-step explanation:

Probabilities are used to determine the chances of an event

(a) Probability that a person is sick

From the table, we have:

[tex]\mathbf{Sick = 59+1 = 60}[/tex]

So, the probability that a person is sick is:

[tex]\mathbf{Pr = \frac{Sick}{Total}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{60}{7500}}[/tex]

[tex]\mathbf{Pr = 0.008}[/tex]

The probability that a person is sick is: 0.008

(b) Probability that a test is positive, given that the person is sick

From the table, we have:

[tex]\mathbf{Positive\ and\ Sick=59}[/tex]

So, the probability that a test is positive, given that the person is sick is:

[tex]\mathbf{Pr = \frac{Positive\ and\ Sick}{Sick}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{59}{60}}[/tex]

[tex]\mathbf{Pr = 0.9833}[/tex]

The probability that a test is positive, given that the person is sick is 0.9833

(c) Probability that a test is negative, given that the person is not sick

From the table, we have:

[tex]\mathbf{Negative\ and\ Not\ Sick=7365}[/tex]

[tex]\mathbf{Not\ Sick = 75 + 7365 = 7440}[/tex]

So, the probability that a test is negative, given that the person is not sick is:

[tex]\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Not\ Sick}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{7365}{7440}}[/tex]

[tex]\mathbf{Pr = 0.9899}[/tex]

The probability that a test is negative, given that the person is not sick is: 0.9899

(d) Probability that a person is sick, given that the test is positive

From the table, we have:

[tex]\mathbf{Positive\ and\ Sick=59}[/tex]

[tex]\mathbf{Positive=59 + 75 = 134}[/tex]

So, the probability that a person is sick, given that the test is positive is:

[tex]\mathbf{Pr = \frac{Positive\ and\ Sick}{Positive}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{59}{134}}[/tex]

[tex]\mathbf{Pr = 0.4403}[/tex]

The probability that a person is sick, given that the test is positive is: 0.4403

(e) Probability that a person is not sick, given that the test is negative

From the table, we have:

[tex]\mathbf{Negative\ and\ Not\ Sick=7365}[/tex]

[tex]\mathbf{Negative = 1+ 7365 = 7366}[/tex]

So, the probability that a person is not sick, given that the test is negative is:

[tex]\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Negative}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{7365}{7366}}[/tex]

[tex]\mathbf{Pr = 0.9998}[/tex]

The probability that a person is not sick, given that the test is negative is: 0.9998

(f) When a test is 99% accurate

The accuracy of test is the measure of its sensitivity, prevalence and specificity.

So, when a test is said to be 99% accurate, it means that the test is correct, and the result is usable; irrespective of whether the result is positive or negative.

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Answer:

I'm not sure I'm only in middle school, but I'll put what I know.

Step-by-step explanation:

Step 1: Calculate the minor for the given matrix.

Step 2: Turn the obtained matrix into the matrix of cofactors.

Step 3: Then, the adjugate, and.

Step 4: Multiply that by reciprocal of determinant.

Answer:

d because it incresed by 50binstead of 13 12 and 23 percent

Answer:

it's odd

Step-by-step explanation:

sysysysy character limit

9514 1404 393

Answer:

  odd

Step-by-step explanation:

An odd function has the characteristics ...

An even function has the characteristics ...

__

The graph of the function shows symmetry about the origin. If we substitute -x for x, we get ...

  [tex]h(-x)=\dfrac{3(-x)^3}{8(-x)^2-9}=\dfrac{-3x^3}{8x^2-9}\\\\h(-x)=-\dfrac{3x^3}{8x^2-9}=-h(x)\qquad\text{the function is odd}[/tex]

_____

Additional comment

Both the numerator and denominator are polynomial functions. A polynomial function is odd if it contains only odd-degree terms, like the function in the numerator. A polynomial function is even if it contains only even-degree terms, like the function in the denominator. (A constant is 0 degree--even.)

A rational function consisting of the ratio of odd or even functions (not "neither"), will be odd or even according to the parity of the ratio:

  odd/odd = even/even = even function

  odd/even = even/odd = odd function . . . . . the situation in this problem

Using compound interest, it is found that it will take 11.28 years for the the account to grow to $4500.

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

t is the time in years for which the money is invested or borrowed.

In this problem:

We have to solve for t when [tex]A(t) = 4500[/tex], thus:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]4500 = 3000(1 + \frac{0.036}{12})^{12t}[/tex]

[tex](1.003)^{12t} = 1.5[/tex]

[tex]\log{(1.003)^{12t}} = \log{1.5}[/tex]

[tex]12t\log{1.003} = \log{1.5}[/tex]

[tex]t = \frac{\log{1.5}}{12\log{1.003}}[/tex]

[tex]t = 11.28[/tex]

It will take 11.28 years for the the account to grow to $4500.

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Answer:

Step-by-step explanation:

1 bowl holds 5 fish

x bowls hold 263 fish

1/x = 5/263                      Cross multiply

5x = 263                         Divide by 5

5x/5 = 263/5

x = 52.6

So you actually need 53 fishbowls. One of them holds only 3 fish

Answer:

3x4=12 is the same as

4x3=12 and

12/3=4 and

12/4=3

The commutative property of multiplication is true for the expression 4 x 3 = 3 x 4 = 12.

Multiplication is one of four mathematical arithmetic operations.

It is also a process of adding the same types of expression for some number of times.

The repeated addition is multiplication.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

The commutative property of multiplication:

Let a and b are the two numbers.

And the product of a x b is n.

So,  a x b = b x a = n

Changing the numbers position does not affect the result.

Here,

3 x 4 = 4 x 3

12 = 12

This expression holds the commutative property of multiplication.

Therefore, 3 x 4 = 12 holds the commutative property.

To learn more about the multiplication;

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Answer:

5 cubes , so 5 cubic units

Step-by-step explanation:

There are 5 cubes in this figure.

Since each cube is a cubic unit, the answer is 5 cubic units.

-Chetan K

Answer:

y=-x-6

Step-by-step explanation:

First, you have to distribute the - that is outside the parentheses. That leaves you with -x-4. So now your equation is y+2=-x-4. You want the y by itself so you subtract two from both sides leaving you with y=-x-4-2, which adds up to y=-x-6.

Answer:

Step-by-step explanation:

The domain is the x value between - 5 and 7

The range is the y value between -2 and 6

You can find all sorts of definitions for the domain and range, but in this example it is really straight forward.  If you put - 5 into the function, you get -2. If you put 7 into the function, you get 6. Now just draw a line between the two end points.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The point at the left end of the domain is not included in the function, but the function includes the limits of its range. One such function is shown in the attachment.

Answer: the answer is 19

Step-by-step explanation:okay so she already have read 119 pages and the total pages is 271 so we substract 271-119=152 so she has 152 pages left so we divide 152 pages divided by 8 because she read 8 pages per hour so 152/8=19