120 pupils went on a feildtrip . 55% of the pupils were girls and the rest were boys. How many boys went on the trip?

Concept: Domain & Range

Answer:You have too add $45.25 by 5 and divided the answer you got from adding the $45.25

Step-by-step explanation:

Hope this helps!

Answer:

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58.6 kilometer/hour = 97666.666667 centimeter/minute

Step-by-step explanation:

How to Convert Centimeter/minute to Kilometer/hour

1 cm/min = 0.0006 km/h

1 km/h = 1666.6666666667 cm/min

Example: convert 15 cm/min to km/h:

15 cm/min = 15 × 0.0006 km/h = 0.009 km/h

Answer: No the ratios are NOT related  

Step-by-step explanation:

Answer:

Word problems with linear equations (that is, with straight-line models) almost always work this way: the slope is the rate of change, and the y-intercept is the starting value.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y= -2x+6

Y intercept is 6

X intercept is 3

Answer:

3

Step-by-step explanation:

log 8 512 = 8^ x=512. x=3

Hope this helps :D

Answer:

4.5×10¹¹

Answer:

[tex](5 \times 10 {}^{3} ) \times (9 \times 10 {}^{7} )[/tex]

i) use the commutative property to rearrange the terms: a+b = b+a

[tex](5 \times 9) \times (10 {}^{3} \times {10}^{7} )[/tex]

ii) multiply the number in the 1st bracket

[tex]45 \times ( {10}^{3} \times 10 {}^{7} )[/tex]

iii) multiply the 2nd bracket by adding their exponents

[tex]45 \times 10 {}^{3 + 7} [/tex]

[tex]45 \times 10 {}^{10} [/tex]

iv) write the answer in standard form

[tex]4.5 \times 10 {}^{10 + 1} [/tex]

[tex]4.5 \times {10}^{11} [/tex]

The given equation that should be in the standard form should be like a [tex]4.5\times 10^{11}[/tex].

Since

The equation is [tex](5\times 10^3) \times (9\times 10^7)[/tex]

Now here we use the commutative property

So,

[tex]45 \times (10^3 \times 10^7)\\\\45 \times 10^{10}\\\\4.5 \times 10^{11}[/tex]

Here, we multiply the number in the 1st bracket, then add, it and then finally in standard form.

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Answer:

$37.50 per month

Step-by-step explanation:

150/4 = 37.50 per month

Step-by-step explanation:

3 supervisors = 60 employees

=> 264 supervisors = 60 * (264/3) = 5,280 employees. (C)

Step-by-step explanation:

S is equal to Q

Q= 48.5

there are two angels (S,Q). They equal 48.5

so 48.5x2= 97

all angels together (QRSP) equals 360

you can take the 97 and subtract it from the 360 =263

divide 263 to get the angels for P and R

S= 48.5

Q=48.5

R=131.5

P=131.5

Answer:

A. y = 5/4x - 3

B. slope is 5/4

C. y intercept is -3

D. Increasing

Step-by-step explanation:

5x - 4y = 12

Slope intercept form: y = mx + b

4y = 5x - 12

y = 5/4x - 3

Slope is 5/4

Y intercept is when x = 0 so it is -3

the slope is positive, therefore the line is increasing

Answer:

A is located at (4,1)

Step-by-step explanation:

The first number will always be on the x-axis and the second will always be on the y-axis. For example: (x,y) so A is (4,1) , B is (-4,1), C is (1,4) and D is (-1,4).

Hope this helps! ;)

Final Answer: Point A

Steps/Reasons/Explanation:

Question: Which point is located at [tex](4, 1)[/tex]?

The x-axis would be 4 and the y-axis would be 1. The x-axis is horizontal and the y-axis is vertical.

For the x-axis, it tells you the markings of the numbers, so moving to the right would be positive and left would be negative.

For [tex](4, 1)[/tex] we would go four to the right and one up. Point A is located there.

~I hope I helped you :)~

Answer:

x=-28

Step-by-step explanation:

Subtract 19 from both sides.

-9 -19 = -28

Answer:

-28

Step-by-step explanation:

you need to get x by itself, so subtract 19 on each side. -9-19= -28

Answer:

The correct option is;

B, C, and D

Step-by-step explanation:

The labelled letters on the number line are;

A = 2 units to the left of the point 0 = - 2 units

B = 1 units to the left of the point 0 = - 1 unit

C = Located at the point 0

D = 1 units to the right of the point 0 = +1 unit

Therefore, the letters that have their opposites labelled are;

Given that we have;

The opposite of B = -1 is +1 = D

The opposite of D = +1 is -1 = B

The opposite of C = 0 is 0 = C

The letters which have their opposites labelled are B, C and D

Answer:

10 feet worth

Step-by-step explanation:

3+3=6

2+2=4

6+4=10

Step-by-step explanation:

The sequence is an AP with common difference -7.

Therefore the next 2 terms are 1 and -6.

The next two terms are ( 1, - 6 ) so the correct answer is option D.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

The next two numbers will be calculated as:-

22, 15, 8, __, __

Common difference = 15 - 22 = -7

Add this common difference in 8 to find the next term.

Next term = 8 - 7 = 1

Again add -7 to 1 to find the next term.

Next term = 1 - 7 = -6

Therefore the next two terms are ( 1, - 6 ) so the correct answer is option D.

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Answer:

If the slope is positive it is increasing if the slope is negative it is decreasing :)

Example:

Y=mX+b

If m is positive it is a positive slope

Answer: 96

Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)

so 1/2 (16)(12)

= 96

Answer:

(-3, 3/2)

Step-by-step explanation:

Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function

y-intercept occurs at x = 0

Substitute x = 0  into the expression

y - 2(0) < -3

y < -3

Find the x-intercept by substituting y = 0 into the expression

0 - 2x < -3

-2x < -3

x > 3/2

Hence the ordered pair is (x, y) = (-3, 3/2)

Answer: D

Step-by-step explanation:

Answer:

[tex]x-200+y[/tex]

Step-by-step explanation:

We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:

Previous balance - Payments + Total Purchases = New balance

where, previous balance = $1000; payments = $800; total Purchases = y

New balance = [tex]1000-800+y[/tex]

Next, to find her Credit balance or current available; we use the formula; Credit line - New balance

where credit balance = x; new balance =  [tex]1000-800+y[/tex]

Current available credit = [tex]x-200+y[/tex]

Answer:

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Answer:

3x−4y+−3x=6+−3x

−4y=−3x+6

Step 2: Divide both sides by -4.

−4y

−4

=

−3x+6

−4

y=

3

4

x+

−3

2

Step-by-step explanation:

Answer:

y = 0.75x - 1.5

Step-by-step explanation:

3x - 4y = 6

-4y = -3x + 6

y = 3/4x - 6/4

y = 0.75x - 1.5

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Answer:

114°

Step-by-step explanation:

because they are parallel they have the same measure

The measure of angle 3 is equal to 114° when angle 7 is 114° by the corresponding angle property.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.

In the image, it is given that angle 7 is 114 degrees. As in the image, the two parallel lines a and b are cut by the transversal line. The given angle 7 is 114°.

From the correspondence angle property, the two angles on the same side of the transversal line will be equal to each other. The angle 3 will be calculated as:-

∠7 = ∠3

114 =  ∠3

Therefore, angle 3 will be 114°.

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Answer:

It will take John 45 minutes (option 3 or C) to finish the test.

Step-by-step explanation:

We know that John is about to take a 75-item quiz. If he finishes 5 items every 3 minutes, then we can divide 75 by 5.

75 ÷ 5 = 15

Now, let's multiply 15 minutes by 3 minutes to get the total amount of minutes.

15 x 3 = 45 minutes

Therefore, it will take John C. 45 minutes to finish the test.

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

What is the constant variation of Y 1 2x?

The constant of variation, k , is 12 .

Step-by-step explanation:

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Answer:

21.66

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

Round off 12 and get 10