Question 3 OT 5
What is the simplified fractional equivalent of the terminating decimal 0.25?
A.5/2
B. 1/4
c.2/5
D. 25/100

Answer: B, C, E

Step-by-step explanation:

For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.

A. 12 pieces of 42.3 centimeter long rope.

= 12 × 42.3

= 507.6

This is wrong

B. 15 pieces of 33.6 centimeter long rope

= 15 × 33.6

= 504cm

This is correct

C. 16 pieces of 31.5 centimeter long rope

= 16 × 31.5

= 504cm

This is correct

D. 20 pieces of 25 centimeter long rope

= 20 × 25

= 500cm

This is incorrect

E. 35 pieces of 14.4 centimeter long rope

= 35 × 14.4

= 504cm

This is correct

Therefore, the correct option are B, C and E.

Answer:

Step-by-step explanation:

Option 2 is correct

Answer:

i think its c) asa but im not sure

Step-by-step explanation:

Answer:

a = 5√7

Step-by-step explanation:

Sides of a right triangle follow the Pythagoras theorem,

By Pythagoras theorem,

(AB)² = (BC)² + (AC)²

c² = a² + b²

If b = 9 and c = 16,

(16)² = a² + 9²

256 = a² + 81

a² = 256 - 81

a = √175

a = 5√7

Therefore, measure of third side a = 5√7

Answer:

1. x=66

2. x=-3

Step-by-step explanation:

1. x\6-2=9

add 2 to both sides

x\6=11

multiply both sides by 6

x=66

2. -7(3x-4)=91

distribute -7 into parenthesis

-21x+28=91

subtract 28 from both sides

-21x=63

divide both sides by -21

x=-3

Answer:

1: 66 2: -3

Step-by-step explanation:

9+2=11

11=x/6

x=66

-21x+28=91

91-28 = -21x

63=-21x

x = -3

Answer:

D-159

Step-by-step explanation:

The required measure of angle ABD is 142°. Option B is correct.

Given that,
Triangles ACD and BCD are isosceles. Angle BAC has a measure of 17 degrees and angle BDC has a measure of 52 degrees.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not greater than 180°

Here,
According to the question,
ΔBDC,

∠BDC + ∠BCD + ∠DBC = 180
52 + 52 + ∠DBC = 180
∠DBC = 180 - 104
∠DBC = 76°
Now,
∠ABD = 360 - ∠DBC / 2
∠ABD = [360 - 76] / 2
∠ABD = 284/2
∠ABD = 142°

Thus, the required measure of angle ABD is 142°. Option B is correct.

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Answer:

The correct option is;

d) CPCTC

Step-by-step explanation:

The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven

Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;

Vertex D corresponds to vertex C

Vertex O corresponds to vertex A

Vertex G corresponds to vertex T

Therefore, given that ΔDOG ≅ ΔCAT, we have;

∠D ≅ ∠C by CPCTC

∠O ≅ ∠A by CPCTC

∠G ≅ ∠T by CPCTC.

Answer:

C: 15.9cm

Step-by-step explanation:

d= circumference/π

= 50/3.14

=15.9 cm

Answer:

c

Step-by-step explanation:

on edge 2020

The graph will be Option C. passing through the point y = -2

The equation of line is y = -2 and the graph will be passing through the point y = -2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Now , the equation of the line is given by

2y + 4 = 0

Subtracting 4 on both sides , we get

2y = -4

Divide by 2 on both sides , we get

y = -2

Therefore , the equation of line is y = -2

So , the line graph will be having a straight line 2 units down on the negative y-axis

Hence , the equation of line is y = -2 and the graph will be passing through the point y = -2

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Answer:

Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]

Step-by-step explanation:

The general form of equation of line is given by:

[tex]y = mx+b[/tex]

When a line passes through origin it has no y-intercept so the equation will become

[tex]y = mx[/tex]

Slope is given by the formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

(x1,y1) = (0,0)

(x2,y2) = (7,2)

Putting the values in the formula

[tex]m = \frac{7-0}{2-0} = \frac{7}{2}[/tex]

Putting the value of slope in equation of line

[tex]y = \frac{7}{2}x[/tex]

Hence,

Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]

Answer:

y = 2/7x

Step-by-step explanation:

ap.ex

Answer:

a fork

Step-by-step explanation:

Answer:

your right elbow

Step-by-step explanation:

Answer:

$500

Step-by-step explanation:

25*2=50

15*2=30

15(2)+25(2)=80

80(6.25)=500

Answer:

The answer is 161

Step-by-step explanation:

In order to get the answer you ahve to multiply 175 by 0.08 then subtract 14 from 175

Answer:

the answer is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Solving for n

Answer:

i think it's c

Step-by-step explanation:

12:6 can be done as 4:12 also saying 1:3

Complete question is;

In a hydraulic system, a 100-newton force is applied to a small piston with an area of 0.0020 m².

This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?

Answer:

A2 = 1 m²

Step-by-step explanation:

Using Pascal's Law which is here applied to mechanical advantage of a hydraulic piston, we can find the area of the large piston from;

F1/A1 = F2/A2

We are given;

Force of small piston: F1 = 100 N

Area of small piston; A1 = 0.0020 m²

Force of small piston: F2 = 50000 N

Thus;

Making A2 the subject, we have;

A2 = (F2/F1)A1

A2 = (50000/100) × 0.0020

A2 = 1 m²

Answer:

the equation to finding slope is this:

y2-y1 / x2-x1

Where y2 is the y value of the second point, y1 is the y value of the first point, x2 is the value of the second x value, and x1 is the x value of the first point.

5-0 / -2-2

5/-4

-5/4 is the slope

Step-by-step explanation:

Answer:

[tex]m=\frac{-5}{4} \\[/tex] which is the slope.

Step-by-step explanation:

Since we have two points on the line, we can easily calculate the slope.

Point 1 = (-2, 5)

Point 2 = (2, 0)

[tex]m=\frac{rise}{run}\\m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{0-5}{2-(-2)} \\m=\frac{-5}{4}[/tex]

Answer: 24.24 miles

Step-by-step explanation:

We should note that 1000 metres = 1 kilometer.

Imelda rode her bicycle 39 kilometers which will be converted to meters a:

= 39 × 1000

= 39000 meters

Since 1 meter = 1.094 yards

39000 meters = 39000 × 1.094 = 42666 yards

To find find the distance Imelda rode her bicycle to the nearest mile goes thus:

1 mi = 1760 yd

42666 yards will be converted to miles. This will be: 42666/1760 = 24.24 miles

Answer:

24.24

Step-by-step explanatio i looked at the answer above thank if you

like that

We have:

y = 4x - 5

Lets add 5 in each member:

y + 5 = 4x - 5 + 5

y + 5 = 4x

Divide the entire equation by 4:

[tex]\dfrac{y+5}{4} = \dfrac{4x}{4}\\\\\dfrac{y+5}{4} = x\\\\x = \dfrac{y+5}{4}\\\\\boxed{x = \dfrac{y}{4} + \dfrac{5}{4}}[/tex]

Answer:

Step-by-step explanation:

Step one:

given data

we are told that before tax the bill is pretax= $78

the tax is 8%

and he left 20% of the pretax for the attendant.

Step two:

let us find the amount he paid for eating with tax

=8/100*78

=0.08*78

=$6.24

with tax the meal cost  is

= 78+6.24

=$84.24

let us solve for the tip he left  (note: it is 20% of the pretax)

=20/100*78

=0.2*100

=$15.6

the tip is $15.6

Step three:

the total amount he paid after eating plus tax and tip is

78+6.24+15.6

=$99.84

Answer:

99.84

Step-by-step explanation:

Answer:

adding 5 tiles each time

Answer:

y = 2/5x + 1/5

Step-by-step explanation:

y - y1 = m(x - x1)

y - 1 = 2/5(x - (-3))

y - 1 = 2/5(x + 3)

y - 1 = 2/5x + 6/5

y = 2/5x + 6/5 - 5/5 (since 1 equals to 1/1, 2/2, 3/3, etc.)

y = 2/5x + 1/5

Answer:

The value of 2a will be: 16

Step-by-step explanation:

Given the equation

[tex]5 + 6a = 7a-3[/tex]

subtract 5 from both sides

[tex]5+6a-5=7a-3-5[/tex]

[tex]6a=7a-8[/tex]

[tex]-a=-8[/tex]

Divide both sides by -1

[tex]\frac{-a}{-1}=\frac{-8}{-1}[/tex]

[tex]a=8[/tex]

As we know that [tex]a=8[/tex] is the solution to the equation.

Hence, the value of 2a will be:

[tex]2a = 2(8)[/tex]    ∵ [tex]a=8[/tex]

     [tex]= 16[/tex]

Therefore, the value of 2a will be: 16

Answer:

The answer is 3/0, which is undefined/∞

Step-by-step explanation:

3-0=3

-1+1=0

3/0= undefined or ∞

Answer:

x + 135 = 1450

Step-by-step explanation:

It says that they are trying to increase the output by 135 so you have the variable to show how much they have to make to reach there goal of 1450 next week

I hope this helped you!