What percent of this grid is shaded?

Answer:

x = [tex]3\frac{3}{4}[/tex]

Step-by-step explanation:

First, you have to leave 2x by itself on the left side of the equation:

2x = 60/8

Then divide,

x = 15/4

Simplified fraction: x = [tex]3\frac{3}{4}[/tex]

Answer:

exact form: x=15/4

decimal form; 3.75

miced number: 3  3/4

Step-by-step explanation:

Answer:

[tex]20.25\pi \: {m}^{2} [/tex]

Step-by-step explanation:

[tex]Circumference = 2\pi r = 9\pi \Rightarrow r = 4.5 \\ Area = {r}^{2}\pi = {4.5}^{2} \pi = 20.25\pi[/tex]

Answer:

x=8

Step-by-step explanation:

9514 1404 393

Answer:

  B, E

Step-by-step explanation:

The ratios of side lengths in a 30-60-90 triangle are ...

  1 : √3 : 2

The two legs are the shorter sides, so any ratio that reduces to 1 : √3 is an appropriate choice:

  B.  1 : √3

  E.  2√3 : 6

Answer: 39 years old

Step-by-step explanation:

First find Sarah's age.

It is said that their ages sum up to 50 and that Sarah's mother is 28 years older than Sarah.

Assume Sarah's age is x.

Sarah's mother's age would be: x + 28.

The expression would therefore be:

x + (x + 28) = 50

2x + 28 = 50

2x = 50 - 28

x = 22/2

x = 11

Sarah is 11 which means her mom is:

= 11 + 28

= 39 years old

Answer:

4x6 _3

Step-by-step explanation:

24-3 =21 So this is the answer

I hope this will work for u

The value of b from the given function is 9/4.

The given function is g(x) = 4x–3.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Replace x by b in the given function is

g(b)=4b-3

⇒ 6=4b-3

⇒ 4b=9

⇒ b=9/4

Hence, the value of b from the given function is 9/4.

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Answer:

B

Step-by-step explanation:

Color of car is a categorical variable. its value are not numerical

The frequency of cars entering the parking lot is a discrete variable so option (d) will be correct.

A variable in mathematics is a representation of any quantity whose value is changeable.

For example speed of a vehicle is a variable.

The value of the variable changes but the meaning of the variable never for example speed of vehicle changes but the word speed does not change.

A discrete variable is a variable whose values are different.

Since car color is not a variable because the meaning of variable is not constant in car color.

The frequency of vars is a discrete variable because it is different for each kind of car.

Hence "The frequency of cars entering the parking lot is a discrete variable".

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Answer:

D) infinitely many solutions

Step-by-step explanation:

5 ( x-3 ) - 3x = 8x - 15 - 6x

5x - 3x - 15 = 8x - 6x - 15

2x - 15 = 2x - 15

2x = 2x

Since, equations of both lines are same. Therefore, there are infinitely many solutions.

Answer:

D

Step-by-step explanation:

Given

5(x - 3) - 3x = 8x - 15 - 6x

5x - 15 - 3x = 2x - 15

2x - 15 = 2x - 15

Since both sides are the same then any real value of x will be a solution.

That is there are infinitely many solutions

Step-by-step explanation:

[tex] \frac{1}{5} (10 - 15u) = 2 - 3u[/tex]

Answer:

Answer:

The function describes the motorboat's distance from the shore  

Step-by-step explanation:

A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore

After 9 minutes, it is 14 km from the shore.

So, rate of change =  

Negative sign shows that there is decrease in distance per minute

The rate of change of distance is 4 km / minutes

General equation : y = mx+c

Where m is the slope and c is the constant

Substitute the values in the equation :

y=-4x+50

Where y is the final distance and x is the minutes

So, Option C is true

Hence The function describes the motorboat's distance from the shore

Step-by-step explanation:

Answer:

7x < 60

Step-by-step explanation:

hire 6 men and time then with a stopwatch and then you have your answer

Answer:

Five and six ninth inches

Step-by-step explanation:

There are 51 inches and 9 (people) want a chain so 51 divided by 9 is 5.666.

Answer:

B

Step-by-step explanation:

Answer: 158 and 28

Step-by-step explanation:

Supplementary angles are angles that add to 180, so 180-158 = 28 degrees.

Answer:

B

Step-by-step explanation:

It's creating a feeling of suspense cuz it gives you a creepy feeling that something SHOCKING is going to happen

Answer:

b

Step-by-step explanation:

Answer:

2x+3x=150 ( sum of opposite interior angle of triangle is equal to the exterior angle)

5x=150

x=150/5

x=30

Answer:

I believe the output is f(6) is -1, the output of f(2) is -4, and f(x)=-4 has the outputs of  2, 4, 8, and 10.

I think.

Answer:

Well, 3+-6 =-3 and -3*2=-6

Answer: twice of -18 is -36 divide by -6 = -6

Answer:

x=2

Step-by-step explanation:

17x-8=11x+4

Add 8 to both sides:

17x=11x+12

Subtract 11 x from both sides:

6x=12

Divide both sides by 6:

x=2

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex] such that the two triangles are congruent as per the Side-Side-Side Congruence Postulate.

According to Side-Side-Side postulate, if the three sides of one the two triangles are congruent to each other then the two triangles are congruent.

Congruent triangles have the same shape as well as the same size.

[tex]\boldsymbol{\bigtriangleup MPQ\cong \bigtriangleup NPQ}[/tex]

This implies [tex]PM,PN[/tex] are same in length.

[tex]17x-8=11x+4[/tex]

       [tex]6x=12[/tex]

         [tex]x=2[/tex]

So, value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex].

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there are 36 quarters.

Let the number of nickels be x

Let the number of quarters be y

Value Value

Type Number of of

of of EACH ALL

coin coins coin coins

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

nickels x $0.05 $0.05x

quarters y $0.25 $0.25y

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

TOTALS 52 ----- $3.60

The first equation comes from the second column.

x + y = 11

The second equation comes from the last column.

0.05x + 0.25y = 3.60

Get rid of decimals by multiplying every term by 100:

5x + 25y = 360

So we have the system of equations:

x+y=52

5x+25y=360

We solve by substitution. Solve the first equation for y:

x + y = 52

y = 52 - x

Substitute (52 - x) for y in 5x + 25y = 360

5x + 25(52 - x) = 360

5x + 1300 - 25x = 360

-20x + 1300 = 360

-20x = -940

x = = 5 the number of nickels.

Substitute in y = 52 - x

y = 52 - (5

y = 47 quarters.

The number of quarters is 52-x or 52-5 or 47 quarters.

Answer:

<ABC = 51°

Step-by-step explanation:

Given

<A = 2x -15°

<B = x - 5°

< C = 148°

Now

<A + <B = < C ( Exterior angle of a triangle is equal to the sum of two opposite interior angles)

2x -15° + x - 5° = 148°

3x - 20° = 148°

3x = 148° +20°

3x = 168°

x = 168° / 3

X = 56°

Now for Angle B

= 56° - 5°

= 51°

Hope it helps :)

Answer:

115%

Because to get a percent from a decimal you multiply by 100 so you move the decimal twice to the right

Answer:

89.57in

Step-by-step explanation:

Given the following

Slant height of the pyramid l = 90.4in

Length of one side of the base b =24.4in

Required

Height of the pyramid H

To get the height we will use the Pythagorean theorem as shown

l² = h²+(b/2)²

Substitute the given values

90.4² = h²+(24.4/2)²

90.4² = h²+12.2²

h² = 90.4²-12.2²

h² = 8023.32

h = √8023.32

h = 89.57in

Hence the height of the pyramid is 89.57in

Answer:

24

Step-by-step explanation:

multiply the length (4) times the width (6) and you get the area (24)

Answer:

19 + 21 = 40.

Step-by-step explanation:

Answer:

Through pythogoras theorem

a^2+b^2=c^2

20^2+16^2=c^2

c^2=400+256

c^2= 656

c= square root of 656

c=25.6 inches or 30 inches

Missing side 25.6 inches or 30 inches

c^2 = a^2 + b^2

c^2 = 16^2 + 20^2

c^2 = 256 + 400

c^2 = 656

Now, square root both sides to find the missing length of c or the hypontenuse.

Answer:

2/6 square units

Step-by-step explanation:

What is the area of a rectangle with side lengths of 1/2 and 2/3

Step one:

given data

L= 1/2 units

W=2/3 units

Step two:

Area= L*W

substitute

Area= 1/2*2/3

Area=2/6 square units

Answer:

When raising an expression of that format to any power, after grouping like terms, you'll always find that the odd numbered terms are positive, and the even numbered terms are negative.

For example:

(x - y)² = x² − 2xy + y²

(x - y)³ = x³ − 3x²y + 3xy² − y³

(x - y)⁴ =x⁴ − 4x³y + 6x²y² − 4xy³ + y⁴

etc.