Sadie earns $10.50 per hour. Do her earnings vary inversely or directly with her number of hours worked? Determine how many hours she worked in a week if her earnings were $210.

Answer:

Topics

2x-5y=4. 2x−5y=4. Add 5y to both sides. Add 5y to both sides.

2x=4+5y. 2x=4+5y. The equation is in standard form. The equation is in standard form.

2x=5y+4. 2x=5y+4. Divide both sides by 2. ...

\frac{2x}{2}=\frac{5y+4}{2} 22x​=25y+4​ Dividing by 2 undoes the multiplication by 2. ...

x=\frac{5y+4}{2} x=25y+4​ Divide 4+5y by 2.

Step-by-step explanation: How do I determine how many solutions an equation has?

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.

Answer:

P(7,4)= 840

Step-by-step explanation:

Answer:

24 times

Step-by-step explanation:

16 divided by 2/3 is 24

hope this helped!

Step-by-step explanation:

remember, a probability is always desired cases over total possible cases.

the class has 10+15 = 25 students.

and 5 of them will be picked as representatives to the school board.

how many total possibilities do we have ?

since picked students can be picked only once, and the sequence of the 5 picked students in the group does not matter, we have a combination without repetition :

C(25, 5) = 25! / (5! × (25-5)!) = 25! / (5! × 20!) =

= 25×24×23×22×21 / (5×4×3×2) =

= 5×1×23×22×21 = 53,130 possible outcomes.

how many desired outcomes ?

that would be how many options we have to pick 2 out of 10 and 3 out of 15 :

C(10,2) × C(15,3) = 10! / (2 × 8!) × 15! / (3! × 12!) =

= 10×9/2 × 15×14×13/(3×2) =

= 5×9 × 5×7×13 = 20,475 desired outcomes

and the probability is

20475 / 53130 = 4095 / 10626 = 1365 / 3542 = 195 / 506

= 0.385375494... ≈ 0.39

Answer:

1 is H

2 is G

3 is B

Answer:

1 is G number 2 is F

Number 1 is G

Number 2 is F

Step-by-step explanation:

Hope this helps you. Anyone can correct if it's wrong.

Answer:

y = 2x -23

Explanation:

Given equation: y = 2(x) + 2

Comparing with slope intercept formula: y = m(x) + b

                                             where m is slope, b is y-intercept

Here slope: 2 as parallel line has same slope

Find equation:

y - y1 = m(x-x1)

y -(-7) = 2(x-8)

y + 7 = 2x - 16

y = 2x - 16 - 7

y = 2x -23

Given graph to confirm answer:

Compare to slope intercept form

Parallel lines have slopes equal

Equation in point slope form

Answer:

Red: 144. Green: 360 Brown: 552. Yellow: 144.

Step-by-step explanation:

Okay, so, to find the probabilities of red and yellow, we gotta add green and brown probabilities and then subtract that from one. Green and brown probabilities added together are 0.76. Subtract that from one and you get 0.24. Divide that by two and we get 0.12 for both red and yellow. Now we multiply 1200 by each probability.

Answer:

C - 35 gallons per minute

Step-by-step explanation:

350 / 10

Answer:

350/10 = 35 gallons per minute

Step-by-step explanation:

Answer:

5m

Step-by-step explanation:

V=whl

Solving forl

l=V

hw=70

7·2=5m

Answer:

red 420 times

Step-by-step explanation:

The results show red (18)  out of ( 18+10+7+19+6)

  18 / 60

18/60  *   1400 = 420 times

Answer:

5

Step-by-step explanation:

[tex]\frac{25}{30}[/tex] ( divide numerator and denominator by 5 ) , then

[tex]\frac{25}{30}[/tex] = [tex]\frac{5}{6}[/tex] ( with missing number ? = 5 )

Answer:

Step-by-step explanation:

What is the missing number ?? /6 =25/30

x : 6 = 25 : 30

x = 6 * 25 : 30

x = 5

-------------------------------

check

5/6 = 0.83

25/30 = 0.83

the answer is good

Answer:

3/2

Step-by-step explanation:

Please give me brainlist

Answer: Heyaa!

A Triangle is actue! :)

Step-by-step explanation:

Hopefully this helps you!!

Answer:

it's a right triangle

Step-by-step explanation:

at the bottom left corner of the triangle, there's a square that tells u that it's a right triangle

Answer:

3y(4y+9)=12y^2+27y......

The area A of the rectangular building in terms of y will be (12y² + 36y).

What is Area of rectangle?

The area of a rectangle is length time width.

Given that;

The width of rectangular building = 3y

The length of rectangular building = 4y + 9

Now,

Area of rectangle = length x width

Substitute all the values we get;

Area of a rectangle = 3y (4y + 9)

                              = 12y² + 36y

Thus, The area A of the rectangular building in terms of y will be

⇒ (12y² + 36y)

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Answer: 0.8571

The explanation is in the image please

The equations have operations, variable, an equal sign in common.

An equation is a mathematical expression that contains an equals symbol.

As per the definition, the equation contain operations, variable, an equal sign. That means whatever be the equation then it must contain operations, variable, an equal sign.

So, all the equations have operations, variable, an equal sign these three things in common.

For example: 4a+b=0

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Answer:

85 cm²

Step-by-step explanation:

Area = 5 x 5 + 15 x 4

Area = 25 + 60

Area = 85 cm²

Step-by-step explanation:

for the prime number it's 1/2

Answer:

b 18 boys

Step-by-step explanation:

In order to solve this problem we must create a system of equations.

Creating a system of equations

Let x = number of boys and y = # of girls

We are given that in total there are 27 children which means # of boys + # of girls = 27 so we can say x + y = 27

We are also given that there are twice as many boys as girls so we can also say x = 2y ( as # of boys = twice the number of girls )

Solving the system

Now to find the # of boys and girls we must solve the system. To do so we are going to use the substitution method.

What is the substitution method?

The substitution method is where one of your variables ( x in this case ) is defined by an expression in which you can plug in or " substitute " it into the other equation ( we can substitute x = 2y into the other equation and solve for y )

Substitute equation 2 into equation 1

Equation 1 : x + y = 27

==> plug in x = 2y

y + 2y = 27

==> combine like terms

3y = 27

==> divide both sides by 3

y = 9

So there are 9 girls in the classroom

Solving for # of boys

To solve for the number of girls we plug in the # of girls (y=9) into one of the equations and solve for x

equation : x + y = 27

==> plug in y = 9

x + 9 = 27

==> subtract 9 from both sides

x = 18

There are 18 boys in the classroom

Checking our work:

Now that we have found the possible answers we can check our work. To do so we are going to want to plug in the values of x and y into both equations and if both are true our answer is correct

Equation 1 x + y = 27

==> plug in x = 18 and y = 9

18 + 9 = 27

==> simplify

27 = 27 ✓

equation 2 x = 2y

==> plug in x = 18 and y = 9

18 = 2(9)

==> multiply 2 and 9

18 = 18 ✓

Both are correct therefore we can conclude that there are 18 boys and 9 girls.

Answer:

6:1. Each following term is 1 to 6 of the previous term.

Step-by-step explanation:

72/12 = 6/1

12/2 = 6/1

etc

Answer:

-2

Step-by-step explanation:

To find the y-intercept, all we need to do is plug in 0 for x and solve for y, giving us [tex]-4y = 8[/tex], so y = -2.

Answer:

$1680

Step-by-step explanation:

To find 7% of 24000, convert 7% to a decimal and multiply. Percent means per hundred, 7% is 7/100 is .07

.07 × 24000

= 1680

Answer:B mark me brainliest

Step-by-step explanation:Recall that slope is rise over run

slope = rise/run

The rise being the change in y, while the run is the change in x.

So we could informally think of it as slope = y/x

-----------

Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.

The slope is both y/x and also 2/3.

Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.

Answer:

B) y/x=2/3

Step-by-step explanation:

Edg2022

A box plot has 5 data descriptions. The number of students who scored 80 or higher in class 2 than in class 1 is 2.

A box plot has 5 data descriptions:

The number of students in the first class who scored more than 80 is 10, while the number of students in the second class who scored more than 80 is 12.

Therefore, the number of students who scored 80 or higher in class 2 than in class 1 is 2(12-10).

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1 is congruent to 3 and 2 is congruent to 5 because alternate interior angles are congruent.

Since 1 is congruent to 3 and to 2, then 3 is congruent to 2.

But 2 is congruent to 5, so since 3 is congruent to both 3 and 5, 3 and 5 must be congruent to each other.

Two geometric figures are said to be congruent or to be in the relation of congruence if it is possible to superpose one of them on the other so that they coincide throughout.

        The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal. For example, draw two circles of the same radius, then cut them out and place them on one another.

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal.

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Answer:

Yes. 3/100 = 0.3

Step-by-step explanation:

3/100 converted to decimal form equals 0.3.

Answer:

No

Step-by-step explanation:

If you divide 100 by 3 you will end up with 0.03, not 0.3.

Hope this helps!

Answer:

1/4 x + 9/10

Step-by-step explanation:

[tex]=-\frac{1}{2}x+\frac{7}{10} +\frac{3}{4} x+\frac{1}{5}[/tex]

[tex]=\frac{3}{4}x-\frac{2}{4} x+\frac{7}{10} +\frac{2}{10}[/tex]

[tex]=\frac{1}{4} x+\frac{9}{10}[/tex]

Hope this helps

Answer:

about 33.9 cm

Step-by-step explanation:

[tex]2\pi(5.4) = 10.8\pi = 33.9[/tex]