the teacher separated her class of fifty-eight students into two groups. one group has 6 more than thrice as many students as the other group. how many students are in each group?

The p and t represent Principal and time and interest is 517.7

We are given the formula to find the interest. So, the formula is -

I = (PRT) ÷ 100

In this formula, I refers to interest, P refers to Principal, R refers to rate of interest and T refers to time. Time will be in years and division by 100 is done for rate of interest.

Keep the values in formula to calculate the interest -

As per the known fact, 12 months = 1 year

So, 20 months = (1 ÷ 12) × 20

20 months = 1.67 years

Interest = (2500 × 12.4 × 1.67) ÷ 100

Performing multiplication in numerator

Interest = 51,770 ÷ 100

Performing division to find the interest

Interest = 517.7

Hence, p refers to principal and t refers to time. The interest that Gordon will receive will be 517.7.

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a = h/b

x b, both sides

ab = h

÷a

b = h/a

B = h/a

Hope this helps!

Answer: b = h/a

Step-by-step explanation: What you need to do is to get b by itself and to do that you have to move b to the other side because it's being divided by b. To do that you multiply by b on both sides.

1) ab = h

Now, isolate b by dividing a into both sides.

2) b = h/a

Now, you have b alone you know what b is equal to.

Answer: 1 L = 0.001 m³

Step-by-step explanation:

1m³ =1000 L

0.001 m³ = 1 L

Scale being used = 1 : 300

It is given that the model measured the height as 2.5cm.

The height of the hall = 7.5 m = 750 cm

By using the formula

Scale to be used = size down/ Actual size

                            = 2.5/ 750

                            = 1/300

                            = 1 : 300

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Answer:

80

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{120}[/tex]  To get 120 we needed to multiply 3 by 40, so we will multiple 2 by 40 to get 80.

Answer:

1 solution

Step-by-step explanation:

4h + 2 = 3h - 7

Subtract 3h from both sides:

(4h + 2) - 3h = (3h - 7) - 3h

h + 2 = -7

Then, subtract 2 from both sides to isolate h:

(h + 2) - 2 = (-7) - 2

h = -9

There is one solution, -9.

[tex] x_{ 1} = - 7 , x_{ 2} = 4 \\ y_{ 1} = 5 , y_{ 2} = 5[/tex]

Using the distance formula

[tex] \sqrt{(x_{2 } - x_{ 1} {)}^{2} + (y_{ 2} -y_{ 1} {)}^{2} } [/tex]

Substitute with the given values

[tex] \sqrt{(4 - ( - 7 {)}^{2} + (5 - 5 {)}^{2} } [/tex]

[tex] \sqrt{(11 {)}^{2} + (0 {)}^{2} } [/tex]

[tex] \sqrt{121 + 0} = \sqrt{121} [/tex]

[tex] \sqrt{121} = 11[/tex]

Therefore:

Distance [tex] = 11[/tex]

To the nearest tenth of a mile, the length of one side of this tract of land is 0.64 miles

This problem can be solved by using the concept of scale factor. Scale factor is useful in finding proportional measurements.

Proportion implies having the same ratio.

Scale factor can be defined as the ratio of the measurement of the model to the measurement of the actual form in the simplest form. In other words, the ratio of any two corresponding lengths in two similar geometric figures is called a scale factor.

If the scale factor is more than 1, that is, scale factor > 1,

then it is an enlargement,

If the scale factor is less than 1, that is, scale factor < 1,

then it is a reduction.

A rancher divided his land into square sections.

To the nearest tenth of a mile, the length of one side of this tract of land = 0.64 miles

Therefore, we get the length of one side of this tract of land as 0.64 miles.

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Answer: 124.3%

Step-by-step explanation:

318.2/256=1.24296875

1.24296875*100=124.296875

124.296875=124.3%

Since 318.2 is greater than 256, the percent is going to be greater than 100, because the number 318.2 is more than 100 of 256 which basically translates to 318.2 being greater than 256.

Step-by-step explanation:

also it is one to one since the inverse is y = x² given that x > or = to zero.

why?

Since the value inside of the square roo should be absolute value as negative numbers make the function complex.

Answer:

difference of 27 m

Step-by-step explanation:

starts at 21m and ends at -6m

21+x=-6

(rearrange so the X is by itself)

21+6=x     x=27

Answer:

33.3%

Step-by-step explanation:

%error =error/actual value*100

=30-20/30*100

=10/30*100

=33.3%

Answer:28/11

Step-by-step explanation:

1/4 hours for naomi

1/7 hours for collen

1/4+1/7=4+7 7x4=11/28

Answer:

No solution

Step-by-step explanation:

Let's solve your system by elimination.

−2x+14y=−29;x−7y=19

Multiply the second equation by 2, then add the equations together.

(−2x+14y=−29)

2(x−7y=19)

Becomes:

−2x+14y=−29

2x−14y=38

Add these equations to eliminate x:

0=9

All of them would accurately represent how many flowers of each type she used

Answer:

5

Step-by-step explanation:

quotient = divide.

37 / 7 = 5

Answer:

x = 6

Step-by-step explanation:

2x + 4 = 3x - 2

2x - 3x = -2 - 4

-x = -6

x = 6

Answer:

x = 6

Step-by-step explanation:

We are given this equation:

2x + 4 = 3x - 2

And we want to evaluate the equation for x.

To do this, we need to isolate the variable (x) on one side of the equation.

We can start by putting the numbers on one side.

We can subtract 4 from both sides of the equation to start. Remember that when solving equations, whatever we do on one side of the equation, we need to do it on the other side as well.

2x + 4 = 3x - 2

     -4          -4

___________________

2x = 3x - 6

Now, let's put the variables on the other side.

Subtract 3x from both sides.

2x = 3x - 6

-3x   -3x

______________

-x = -6

Now, the numbers and variables are on different sides, however we are not done yet, as we need to take care of the negatives, as x shouldn't be negative in this case.

-x is the same as -1x, or -1 * x.

So, in order to get rid of the negatives, we can either multiply or divide both sides by -1.

Let's multiply both sides by -1.

-1(-x) = -1(-6)

x = 6

The value of x is 6.

Step-by-step explanation:

23+35

37+83=4733

24783+3747

Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).

The not common definition of the Geometric distribution is the variety of trials till the primary achievement.. The following is an instance for the distinction among the Binomial and Geometric distributions: If a own circle of relatives comes to a decision to have five youngsters, then the variety of girls (successes) within side the own circle of relatives has a binomial distribution. If the own circle of relatives comes to a decision to have youngsters till they have got the primary lady after which stop, the the variety of youngsters within side the own circle of relatives has a Geometric distribution . A variant at the Geometric distribution is counting the variety of failures till the primary achievement, after which the variety may be 0,1,2,... In the instance it might be counting the variety of boys within side the own circle of relatives earlier than the primary lady turned into born, and now no longer the entire variety of youngsters. The distinction among the 2 versions is usually 1.

Therefore, Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).

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The measure of the angle B is equal to 56°.

A right triangle is a triangle, of which one of the three angles is a right angle. In accordance with Euclidean geometry, the sum of the measures of the internal angle is equal to 180°. Then,

m ∠ A + m ∠ B + m ∠ C = 180°

90° + 34° + m ∠ B = 180°

124° + m ∠ B = 180°

m ∠ B = 180° - 124°

m ∠ B = 56°

The measure of the angle B is equal to 56°.

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The value of the function p (q(z)) is  6z² +4 .

By considering the given functions

p(z) = 3r+4

q(z) = 2z²

p (q(z))= p(  2z²)

p (q(z))= 3(2z²)+4

p (q(z))= 6z² +4

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function domain and codomain, respectively. a mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.

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Answer:

+ 36

Step-by-step explanation:

assuming you require to make the terms into a perfect square.

using the method of completing the square

add ( half the coefficient of the y- term )² to y² - 12y

y² + 2(- 6)y + (- 6)²

= y² - 12y + 36

= (y - 6)² ← a perfect square

Yes, Chris has enough money to buy 30 pens and 30 folders.

Given:

So, the cost of 30 pens will be:

Similarly, the cost of 30 folders will be:

Cost of 30 pens and 30 folders = £22.5 + £34.8 = £57.3

Therefore, yes Chris has enough money to buy 30 pens and 30 folders.

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The integer in simplest form in -59/40.

It is required to find the scientific notation.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The given integer is

-7/8-(3/5)

We have to find the integer in simplest form.

According to given question we have

-7/8-(3/5)

=-7/8-3/5

Taking LCM of 8 and 5 we get,

LCM(8,5)=40

=-35-24/40

=-59/40

Therefore, the integer in simplest form in -59/40.

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Answer:

{x|10.132 < x < 10.133}

Step-by-step explanation:

I think this will be the answer

The required value of the variable x can be found as 10.1325.

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given inequality is 10.132 < x < 10.133.

It implies that the value of x lies between 10.132 and 10.133.

Write the given numbers up to four decimal places as,

10.1320 and 10.1330

Then, the required value of x can be written as 10.1325.

Hence, the value of x can be found by writing the numbers in equivalent form as 10.1325.

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Section 14 makes about 40 Acres.

640 acres make up a square mile.

Given are the southwest quarter, the northern half, and the eastern half.

Consider that 2x2x4=16.

640 divided by 16 equals 40 acres.

40 acres make up Section 14.

How do you estimate the value per acre?

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A guardrail's acceptable height range is 99cm to 113cm and the definite absolute value inequality is as follows | h - 106cm | ≤ 7cm,

We understand that the height must be 106cm with a maximum absolute deviation of 7cm.

As a result, the maximum height is:

106cm plus 7cm = 113cm

The bare minimum is:

99cm = 106cm -7cm

This is represented by the absolute value equation:

| h - 106cm | ≤ 7cm

In which h is the guardrail's height.

A guardrail's acceptable height range is 99cm to 113cm.

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