Mr. Maddox asked four students to create a number line to help find the sum of the fractions.

Negative StartFraction 7 over 10 EndFraction + StartFraction 4 over 10 EndFraction

Which number line would be best to find this sum?
A number line going from Negative StartFraction 8 over 10 EndFraction to 0 in increments of StartFraction 1 over 10 EndFraction

A number line going from Negative StartFraction 3 over 10 EndFraction to positive StartFraction 3 over 10 EndFraction in increments of StartFraction 1 over 10 EndFraction

A number line going from StartFraction 4 over 10 EndFraction to StartFraction 11 over 10 EndFraction in increments of StartFraction 1 over 10 EndFraction

A number line going from 0 to StartFraction 15 over 10 EndFraction in increments of StartFraction 1 over 10 EndFraction

Answer:

a. 60 boys

b. 228 total students

Step-by-step explanation:

a. If there are 45 girls and the ratio of girls to boys is 3:4, then there are 60 boys. The common multiple is 15.

3 * 15 = 45

4 * 15 = 60

45:60 = 3:4

——————————

b. First we need to find out how many boys there are.

95 / 5 = 19

19 * 7 = 133

So, there are 133 boys and the given number of girls is 95. To find out how many total students there are, we need to add 133 and 95.

133 + 95 = 228

Answer: division

x = 6

Step-by-step explanation:

Simplifying

7x = 42

Solving

7x = 42

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '7'.

x = 6

Simplifying

x = 6

Answer:6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

V(3)=27 means all sides equal to 3

volum e of a cube=(a)^3=(3)^3=27

Answer:

none of the above

Step-by-step explanation:

Answer:

Your correct option is 'None of the above'

Step-by-step explanation:

Non of these are correct for this equation that needs simplified. Below you can see the simplified version that I have for it.

√5(8 + 3√6) = 8.760271

Simplified: 8.760271

The R stands for "rotation". The "O" as a small subscript means "origin" which is where the x and y axis cross. The 90 degrees means we rotate 90 degrees counterclockwise. This is equivalent to 270 degrees clockwise, but writing [tex]R_0, 270^{\circ}[/tex] is not correct as we don't rotate 270 degrees counterclockwise.

The solution is Option A.

The rotation angle is given by R0 ( 90° )

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ABC

The coordinate of A = A ( 1 , 4 )

The coordinate of B = B ( 3 , 4 )

The coordinate of C = C ( 3 , 2 )

Now , when the triangle ABC is rotated 90° counterclockwise rotation: (x,y) becomes (-y,x)

Substituting the values in the equation , we get

The coordinate of A' = A' ( -4 , 1 )

The coordinate of B = B ( -4 , 3 )

The coordinate of C = C ( -2 , 3 )

Hence , the rotation is 90° counterclockwise

To learn more about rotation click :

https://brainly.com/question/3956347

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Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

so

just consider the lengh:

[tex] \frac{1}{3} [/tex]

or the width :

[tex] \frac{3}{9} [/tex]

or the area:

[tex] \sqrt{ \frac{3 \times 1}{9 \times 3} } = \sqrt{ \frac{3}{27} } = \sqrt{ \frac{1}{9} } = \frac{1}{3} [/tex]

Answer:

Pretty easy (if you know geometry)!

Step-by-step explanation:

First, we know that A and B have angle bisectors. This means the angles that are divided by that angle bisector are equal (or their measures).

Thus, m<DBA= 1/2 Beta; m<DAB=1/2 Alpha.

Time to find m<ADB. Using the sum of all angles in a triangle = 180* theorem, we can come up with this equation:

[tex]180= m<ADB+\frac{1}{2} \alpha +\frac{1}{2} \beta[/tex]

So, solving:

[tex]180-\frac{1}{2} \alpha -\frac{1}{2} \beta =m<ADB[/tex]

So there you go! Hope this helps!

Answer:

solution,

Shayma pays £240 per week in rent.

Landlord decreases rent by 2.5%

as 2.5% =2.5/100=0.025

So, decrease in rent;

[tex]240 \times 0.025 \\ = 6[/tex]

Current rent:

Hope this helps...

Good luck on your assignment..

Answer:

150 steps

Step-by-step explanation:

let the number of steps=x

time taken to go up=1/3×x=x/3 s

time taken to go down =1/2×x=x/2 s

now

[tex]\frac{x}{2} -\frac{x}{3} =25\\multiply ~by~6\\3x-2x=25 \times 6\\x=150[/tex]

Answer:

-5x + 0y = -11

The y terms are eliminated

Step-by-step explanation:

- 4x – 2y = -2

X - 2y = 9

We want to subtract the second equation from the first

Distribute a minus sign to all the terms in the second equation

- 4x – 2y = -2  

X - 2y = 9

= (-5x + 0y = -11)

Answer:

95 degrees

Step-by-step explanation:

Since the sum of the angles in a quadrilateral must add up to 360 degrees:

95+85+Z+85=360

Z+265=360

Z=95 degrees

Hope this helps!

Answer:

Z = 95°

Step-by-step explanation:

if W = Y => X = Z => Z = 95°

Answer:

60cm

Step-by-step explanation:

1:50 means every foot is 50 feet.

So I would think the ship hes making will be 2 feet long.

Every foot is equal to 0.3m which is equal to 30cm

Every foot is equal to 30cm

2 x 30cm = 60cm

Answer:

m = 2

Step-by-step explanation:

30m + 45m = 150

75m = 150

m = 150/75

m =2

Answer:

m = 2

Step-by-step explanation:

30m + 45m = 150

75m =150

÷75    ÷75

m = 2

Answer:

A. Garden plants grow better in wet soil than in dry soil.

Step-by-step explanation:

A testable hypothesis is theory that can actually be proven by facts rather than opinions

Answer:

24 inches

Step-by-step explanation:

After folding the piece of paper, the result will be 1/4 the size of the original square.

Answer:

33.3%

Step-by-step explanation:

the increase in price was $22.  Find the ratio

$22

-------

$66

which comes out to 0.33333, or 33.3%.

The percent change in the price of the item is 33.3%.

Answer:

It could be 3.3 i'm not to sure- but the other answer was incorrect

Step-by-step explanation:

Answer:

step 1 is wrong because when an absolute opens there are two possibilities of solutions and there will be sign ±

Step-by-step explanation:

i hope this will help you :)

Answer:

201, 500ft²

Step-by-step explanation:

The formula for calculating area in this case is;

A = w × l

This means we're going to take the width of the runway (65ft) and multiply it by the length of the runway (3100ft).

(To make it easier on paper, you can swap the two numbers around, so the higher number is on top, and the smaller number is on the bottom - 3100 × 65. It won't change the answer, but it will make it quicker and easier to get to the result, and lessens the chances making a mistake.)

So the equation you need to do is;

3,100 × 65 = 201, 500.

Add on the units, and there's your answer;

201, 600ft²

Answer: 55 degrees

By definition of how the term "central angle" is defined, it is simply equal to the arc measure it cuts off. The central angle JOI subtends or cuts off the minor arc JI which is 55 degrees, so the central angle is also this measure as well.

Put another way, minor arc JI is 55 degrees of a full 360 degree rotation, and so is the angle JOI.

Answer:

r = 3.21

Step-by-step explanation:

12-3*y = 0

Subtract 12 from both sides:

-3 * y = -12

Divide both sides by -3:

y = 4

Answer:

y=4

Step-by-step explanation:

Standard form:

−3y + 12 = 0

Factorization:

−3(y − 4) = 0

Solutions:

y = 12/3   = 4

Isolate the variable by dividing each side by factors that don't contain the variable:

y=4

Answer:

False

Step-by-step explanation:

Did the quiz

Answer:

false

Step-by-step explanation:

Answer:

B. SAS

Step-by-step explanation:

Ratio of sides equal:

So the 2 sides are congruent and also share same angle between.

Answer:

B no is correct answer.

Answer:

Yes, you are as far as I can tell it looks right to me,

Answer:

16m and 12m

Step-by-step explanation:

2x + 2(x - 4) = 56

4x = 64

x = 16

Sides are 16 m and 12 m

Answer:

C is yo answer of y=3x-1

Step-by-step explanation:

the y intercept is -1 and yo slope is 3. you could see yo line goin up by three and to tha right by 1

Answer:

10.5

Step-by-step explanation:

20 – 23 ÷ 4 • 2 + 2

    (3)      (1)  (2) (4)

(1) 23: 4 = 5.75

(2) 5.75*2 = 11.5

(3) 20 - 11.5 = 8.5

(4) 8.5 + 2 = 10.5

Step-by-step explanation:

20-(23/4)×2+2

=20-(5.75×2)+2

=20-11.5+2

=8.5+2

=10.5

Answer:

13/4 * 5/2

Step-by-step explanation:

In the question, it says that her coach wants her to run 2 1/2 TIMES the original 3/4 she had ran. Therefore, you would want to make the fractions into improper fractions, and then multiply, which is how you would get 13/4 * 5/2.

Answer:

x = 4c - 18

Step-by-step explanation:

=> 4c-3 = x+ 15

Subtracting 15 to both sides

=> x = 4c-3-15

=> x = 4c - 18

Answer:

x=6

Step-by-step explanation:

4x- 3 = x+15

-1x       -1x

3x- 3=15

+3       +3

3x=18

÷3  ÷3

x=6