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Answer:

Fraction = [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Total Marks = 72

Obtained Marks = 63

Fraction = [tex]\frac{Obtained Marks}{Total Marks}[/tex]

Fraction = [tex]\frac{63}{72}[/tex]

In simplified form

Fraction = [tex]\frac{7}{8}[/tex]

Answer:

16 for Sol A and 24 for Sol B

Step-by-step explanation:

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

x + y = 40        y = 40 - x

.60x + .85y = .75(40)

.60x + .85y = 30      Multiply both sides of the equation by 100 to remove the decimal points.

60x + 85y = 3000

60x + 85(40 - x) = 3000

60x + 3400 - 85x = 3000

-25x = -400

x = 16 ounces

y = 40 - 16

y = 24 ounces          

Answer:

In 2013 there were approximately 2.2 million cars for sale.

Step-by-step explanation:

Since the number of cars is decreasing by 23% per year, it is a decay model. This types of decay can be expressed in the following expression:

[tex]cars(x) = cars(2007)*(1 - 0.23)^{x - 2007}[/tex]

Where x is the year, cars(2007) is the number of cars in 2007. Applying this data we have:

[tex]cars(x) = 8.14*(0.77)^{x - 2007}[/tex]

If we want to know the number of cars in 2013, we need to apply that value to x and solve the expression.

[tex]cars(2013) = 8.14*(0.77)^{2013 - 2007}\\cars(2013) = 8.14*(0.77)^{5} = 2.20332[/tex]

In 2013 there were approximately 2.2 million cars for sale.

Answer:

7 km

Step-by-step explanation:

2 hours 20 minutes is 2 and 1/3 hours. 3 * 2 and 1/3 = 3 * 7/3 = 7km.

Answer: 7 km

Step-by-step explanation:

In 1 hour, he did 3 km

In 2 hours, he will do 6 km

20 minutes = 20/60 = 1/3

In 20 minutes, he will do 1/3 x 3 = 1 km

So total distance travelled = 7 km

Answer:

work is shown and pictured

Answer:

Yes

Step-by-step explanation:

4/10 = 0.4

4/100 = 0.04

0.4 > 0.04

Therefore the answer is yes

Answer:

Yes See if you get 4 are out of 10 it will be big than 4 out of 100

Step-by-step explanation:

Hope this helps

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Explanation:

For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).

The predicted y value is found by plugging x = 3 into the line of best fit equation

y = 5x-2.5

y = 5(3)-2.5

y = 12.5

The residual is the difference between the two y values

e = residual

e = (observed y value) - (predicted y value)

e = 6 - 12.5

e = -6.5

The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.

Answer:

14,104 centimeters

Step-by-step explanation:

This equation is asking for the total height of the wall in centimeters. Given that it gives you both sections of the wall, we will want to add them together to find our total.

5,224 + 8,880 = 14,104

Answer:

The area of a circle with a circumference that equals the perimeter of the square is 9.62 units²

Step-by-step explanation:

The first thing we must do is find the perimeter of the square. In the problem, we are given that one of the side measurements of the square is 2.75 units. In order to find the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.

2.75 × 4 = 11

So, the perimeter of the square is 11 units. This number will also be the number for the circumference of the circle as mentioned in the problem. So, the circumference of the circle is 11 units. Now, we must find the radius of the circle so we can find the area. Let's use the formula for finding radius given the circumference.

[tex]Radius = \frac{circumference}{2\pi}[/tex]

Now, let;s plug in 11 for the circumference because our circumference is 11 units.

[tex]Radius=\frac{11}{2\pi}[/tex]

Multiply 2 by pi. We will use 3.14 in replacement of pi.

[tex]Radius=\frac{11}{6.28}[/tex]

Now, divide.

[tex]Radius=1.75[/tex]

So, our radius is 1.75 units. We can know use this number to find the area of the circle.

[tex]Area=r^2\pi[/tex]

Plug in 1.75 for the radius.

[tex]Area=(1.75)^2\pi[/tex]

Simplify the exponent.

[tex]Area=(3.0625)\pi[/tex]

Multiply the numbers.

[tex]Area=9.61625[/tex]

Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.

9.61625 = 9.62

So, the area of the circle is 9.62 units²

Answer:

9.62

Step-by-step explanation:

Got it on the test

Answer:36π mm^2

Step-by-step explanation:

Formula for area of a circle =

πr^2

r=6mm

π*6^2

π*36

36π mm^2

Answer:

36 π mm²

Step-by-step explanation:

r= 6 mm

A= πr²

A= π* 6²= 36 π mm²

Answer:

Circumference of the smaller circle = 2.1x units

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA ?

Radius of the larger circle OB = x units

Radius of the smaller circle OA = y units

Circumference of larger circle = 2πx units

Circumference of smaller circle = 2πy units

Since circumference of larger circle is 3 times the circumference of smaller circle,

2πx = 3(2πy)

2πx = 6πy

x = 3y

y = [tex]\frac{x}{3}[/tex]

Therefore, circumference of the smaller circle = [tex]2\pi (\frac{x}{3})[/tex] units

                                                                             = [tex]\frac{2\pi x}{3}[/tex] units

                                                                             = 2.094x

                                                                             ≈ 2.1x

Circumference of the smaller circle circle = 2.1x units

Answer:

Step-by-step explanation:

[tex]4(5x+7)/2+5x\\\\\frac{20x+28}{2} +5x\\Simplify\\ 10x +14+5x\\10x+5x+14\\15x+14[/tex]

Answer:

All

Step-by-step explanation:

Whole numbers are numbers 0 to infinity.

Natural numbers are numbers 1 to infinity.

So, your answer is all.

Answer:

Point B is 4 units to the right and 2 units down

Step-by-step explanation:

Since our x is positive, we are going to the right of the x-axis (where positive values lay).

Since our y is negative, we are going down in the y-axis (where negative values lay).

Answer: point B matches (4,-2)

Step-by-step explanation:

Within parentheses, the first number is the x-coordinate. Positive numbers are given without the +sign and they go to the Right. Negative -numbers go to the left.

The second number is the y-coordinate. Positive numbers go up, -numbers that are negative go down.

In this example it will be 4 Right and 2 Down.

Answer:

Length of leg of triangle = [tex]9\sqrt2\ cm[/tex]

Step-by-step explanation:

We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.

Let us assume the following labeling of the diagram, as attached in the answer area.

[tex]\angle XYZ =90^\circ\\\angle YXZ =45^\circ\\\angle ZXY =45^\circ\\\\Hypotenuse, XZ = 18 cm[/tex]

The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.

i.e. The sides XY and YZ will be equal.

Let XY = YZ = x cm

It is known that in a right angled triangle, pythagorean theorem holds well.

As per pythagoream theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Putting the values:

[tex]\text{XZ}^{2} = \text{YZ}^{2} + \text{XY}^{2}\\\Rightarrow 18^2 = x^{2} +x^{2} \\\Rightarrow 2x^{2} = 18^2\\\Rightarrow 2x^{2} = 324\\\Rightarrow x^{2} = 162\\\Rightarrow x = \sqrt{2 \times 81}\\\Rightarrow x = 9\sqrt2\ cm[/tex]

So, the length of leg of triangle = [tex]9\sqrt2\ cm[/tex]

Answer:

answer is B    9 root 2 cm

Step-by-step explanation:

got it right on edg 2020-2021

Answer:

1. 60z, 36

2. 96a, 88

Step-by-step explanation:

1.

First, find the like terms for z. (60z)

Second, find the like terms for 20, 4, and 12. (36)

2.

Combine the 88a and 8a (96a)

Then combine 8 plus 80 (88)

Answer:

(50z+20)(10z+4)

=50z(10z+4)+20(10z+4)

=500z²+200z+200z+80

=500z²+400z+80

(88a+80)(8a+8)

=88a(8a+8)+80(8a+8)

=704a²+704a+640a+640

=704a²+1344a+640

Step-by-step explanation:

i hope this will help you:)

Answer:

D.  {3, 5, 7}.

Step-by-step explanation:

The range is the set of output values.

It's {3, 5, 7}.

The range of the set ={1,2,3,4,5} is option D which is {3,5,7}.

The range of a set is the values which are coming when we put the values of a set  in a function.

We are given the diagram in which the values are 1,2,3,4,5 from which arrows touching 3,5,6. So the domain of the function is 1,2,3,4,5 and the range is 3,5,7.

Hence the range of the set is option D which is {3,5,7}.

Learn more about range at https://brainly.com/question/2264373

#SPJ2

Answer:

The intial value is 1.25

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The difference in the x is 6

The difference in the y is -4

-4/6 = -2/3

Answer:

-2/3

Step-by-step explanation:

The slope of a line when given two points is found by

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

  = (-1 -3)/(2 - -4)

   = (-4)/(2+4)

   = -4/6

-2/3

Answer:

Step-by-step explanation:

If it was like....[tex]\frac{a^{5}}{a^{3}}[/tex]

then you subtract 5 minus 3 to be left with a^2 on the numerator

That would be how you would take it away.

Answer:

option 3

Step-by-step explanation:

Given the 2 triangles are similar then corresponding angles are congruent.

Calculate the missing angles in both triangles.

∠ A = 180° - (90 + 35)° = 180° - 125° = 55°

∠ L = 180° - (90 + 55)° = 180° - 145° = 35°

Consider ACB ~ MNL , comparing corresponding angles

∠ A= 55° and ∠ M = 90° ← not congruent

Consider ABC ~ LMN, comparing corresponding angles

∠ A = 55° and ∠ L = 35° ← not congruent

Consider CBA ~ LMN , comparing corresponding angles

∠ C = 35° and ∠ L = 35° ← congruent

∠ B = 90° and ∠ M = 90° ← congruent

∠ A = 55° and ∠ N = 55° ← congruent

The correct similarity statement is

CBA ~ LMN

Answer:  C) CBA ≅ LMN

Step-by-step explanation:

Match up the congruent angles:

∠C = 35°, ∠L = 90° - 55° = 35°     --> ∠C ≡ ∠L

∠B = 90°, ∠M = 90°                     -->  ∠B ≡ ∠M

∠A = 90° - 35° = 55°, ∠N = 55°    --> ∠A ≡ ∠N

The similarity statement can be written in any order as long as the congruent angles are in the same placement (1st, 2nd, or 3rd).

ΔABC ≅ ΔNML

ΔBCA ≅ ΔMLN

ΔCAB ≅ ΔLNM

ΔCBA ≅ ΔLMN

ΔACB ≅ ΔNLM

ΔBAC ≅ΔMNL

Any of these similarity statements can be used!

Answer: y = -3x -3

Step-by-step explanation:

y = mx + b

3x + y = -3

y = -3x -3

Answer:

slope intercept form: y=mx+c

*m = gradient

*c = y-intercept

3x + y = -3

y = -3x - 3

Answer: 24 square units

Step-by-step explanation:

The Area of a trapezoid is:

1/2 (a + b) h

Where ;

a = Length of base 1

b = length of base 2

h = height of trapezium

From the diagram attached :

a = Length of BC =(-1 to 3) =4units

b = length of AD =(-3 to 5) = 8 units

h = (-2 to 2) = 4 units

Plugging the values :

Area = 1/2 ((4 + 8)2)

Area = 0.5 × (12) × 4 = 12

Area = 6 × 4 = 24square units

Answer:

RT

Step-by-step explanation:

The diameter goes from one side of the circle to the other side passing through the center

The only diameter given is RT

Answer: A. 397 miles

Step-by-step explanation:

Add the miles traveled on Saturday and Sunday to find out how many miles were traveled in total.

409 + 239 = 648

Now, subtract the total number of miles traveled from the original distance.

1,045 - 648 = 397

Answer:

397

Step-by-step explanation:

To figure this out, you just minus how much they have already traveled by the total distance they need to travel. To solve it, you can add together 409+239=648. Then, you take 648 and minus that from 1045. And so, 1045-648=397

Answer:

The answer is 22 degrees :)

Step-by-step explanation:

So you know that altogether the right angle forms 90 degrees,

if angles <DAC are 68 degrees you would subtract 90 degrees from 68 degrees because you already have the angle measure for i side now you subtract the total angle from the angle measure you know.

90-68=22 degrees

your answer would be 22 degress :)

Answer:

8n+7

Step-by-step explanation:

Answer:

y≤ 2/3x+1/5

Step-by-step explanation:

y≤ 2/3x+1/5

Answer: x = - 10

Step-by-step explanation:

a) Linear Pair: 138 + ∠a = 180°     --> ∠a = 42°

b) Triangle Sum Theorem: ∠a + 2∠b = 180°   --> ∠b = 69°

c) Vertical Angles Theorem: ∠b = ∠c     --> ∠c = 69°

d) Congruent sides implies congruent angles: ∠c = ∠d   --> ∠d = 69°

∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°

                                            69° + 69° + ∠2 = 180°

                                                               ∠2 = 42

x) m∠2 = 42

  x + 52 = 42

  x          = -10

Answer:

3x+13

Step-by-step explanation:

Perimeter of square = 4 * length

Length = Perimeter/4

Length = (12x + 52)/4

Length = 3x+13