A student read the first 150 pages of a book that is 450 pages long.
What fraction of the book does the student have left

Answer:

1, 3, 9, 27, 81, 243, 729

Step-by-step explanation:

The powers of 3 are:

[tex]3^0 = 1[/tex]

[tex]3^1 = 3[/tex]

[tex]3^2 = 9[/tex]

[tex]3^3 = 27[/tex]

[tex]3^4 = 81[/tex]

[tex]3^5 = 243[/tex]

[tex]3^6 = 729[/tex]

[tex]3^7 = 2187[/tex]

And so on...

So through 1000: 1, 3, 9, 27, 81, 243, 729

Answer:

12

Step-by-step explanation:

Answer:

[tex]y<-4[/tex]

Step-by-step explanation:

Given

[tex]7y + 42 <14[/tex]

Required

Determine the true statement

Options are not given; but, the question can still be attempted.

[tex]7y + 42 <14[/tex]

Collect Like Terms

[tex]7y < 14 -42[/tex]

[tex]7y < -28[/tex]

Divide through by 7

[tex]\frac{7y}{7} < -\frac{28}{7}[/tex]

[tex]y<-4[/tex] -- This is true

Answer:

( -2.5 , 1 )

Step-by-step explanation:

(-2.5 ,1 ) hope this helps u

Answer:

$6,000

Step-by-step explanation:

If her food costed $2500 and was 25%, then she had $10,000 to begin with. 3/5 of $10,000 is $6,000, so her rent costs $6,000.

Answer:

$6,000 on rent

Step-by-step explanation:

Find her weekly salary by dividing 2500 by 0.25

2500/0.25

= 10,000

Now, find how much she spent on rent by multiplying 10,000 by 3/5

10,000(3/5)

= 6,000

So, she spent $6,000 on rent

Answer:

these rates are equivalent.

12bottles/$4= 18bottles/$6= 3bottles/$1

Step-by-step explanation:

Answer:

Step-by-step explanation:

multiplicas 0.50 por 7 , el resultado es 3.5, 3.5 lo sumas a 10 y eso es el resultado de lo que ella ganaría 13.50 dólares por hora después de trabajar 7 años con ellos.

a)You multiply 0.50 by 7, the result is 3.5, 3.5 l add to 10 and that is the result of what she would earn, $ 13.50 per hour after working 7 years with them.

Answer: See explanation

Step-by-step explanation:

1. Decimal fraction: ¹⁵⁷/₁₀₀

Fraction: ¹⁵⁷/₁₀₀ or 1 ⁵⁷/₁₀₀

2. Decimal Fraction: ³¹²/₁₀₀

Fraction: ⁷⁸/₂₅ or 3³/₂₅

3. Decimal Fraction: ⁶³⁰/₁₀₀

Fraction: ⁶³/₁₀ or 6³/₁₀

4. Decimal Fraction: ¹¹⁰/₁₀

Fraction: ¹¹/₁

5. Decimal Fraction: ¹¹²/₁₀

Fraction: ⁵⁶/₅ or 11¹/₅

Answer:

-0.8/ -4/5

Step-by-step explanation:

5(m+1) -1 = 0

5m +5 -1 = 0

5m +4 =0

5m= -4

m= -4/5

Answer:

138

Step-by-step explanation

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As [tex]Time = \frac{Distance }{Speed}[/tex]

⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = [tex]\frac{1}{2x}[/tex]

Now,

Given that - he cycles one and a half times as  fast as he runs.

⇒Speed of cycling =  [tex]\frac{3}{2}[/tex] (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = [tex]\frac{1}{3x}[/tex]

Now,

Total time traveled = Time traveled by walking + running + cycling

                                = [tex]\frac{1}{x}[/tex] +  [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]

                                = [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]

If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = [tex]\frac{11}{6} x[/tex]

⇒[tex]x - \frac{11}{6} x = -10[/tex]

⇒[tex]-\frac{5}{6}x = -10[/tex]

⇒x = [tex]\frac{60}{5}[/tex] = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min

Answer:

115

Step-by-step explanation:

To find the missing angle all you have to do is add the 2 nonadjacent interior angles which are 75 and 40 to get the exterior angle which is 115.

Hope this helps!:)

Answer:

Its Basically A Type of pattern In an Equation that you solve.

for example, X=Y. It's Configured as  a pattern.

Step-by-step explanation:

Answer:

A variable is a unknown number or a unknown value.

Commonly used variables are x and y.

Have a nice day!

Hope this helps!

as uve not shown no options it shud be round bout 2350000

Step-by-step explanation:

Answer:

2,350,000

Step-by-step explanation:

this is the answer I believe

Answer: 16

Step-by-step explanation:

sin M/6.3=sin 21/8.2

6.3 sin 21/8.2=0.27533147

sin^-1(0.27533147)=15.981=16

Answer:

3

Step-by-step explanation:

=6x-3(2x-1)

=6x-6x+3

=3 Answer

Answer: (3.65, 3.74)

Step-by-step explanation:

Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.

if it is 5 or more, we round up

if it is smaller than 5, we round down.

Then for example, if we want to round:

4.534

to the first decimal place, we need to look at the second decimal place.

we can see that it is a 2.

Then we round down, and get:

4.5

Now we know that, when rounding to the first decimal place, we have:

x = 3.7

Then the maximum value that x could have is:

x = 3.74 (because here we round down to 3.7)

and the minimum value that x could have is:

x = 3.65 (because here we round up to 3.7)

Then the error interval for x is:

(3.65, 3.74)

Answer:

see explanation

Step-by-step explanation:

(1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{0.7}{4.2}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{0.7}{4.2}[/tex] ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{176}[/tex] ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{176}[/tex] ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Step-by-step explanation:

[tex]1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{0.7}{4.2}4.20.7 , then

x = sin^{-1}sin−1 (\frac{0.7}{4.2}4.20.7 ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{y}{176}176y ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}hypotenuseadjacent = \frac{x}{176}176x ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

[/tex]

Answer:

$2,070 is how much she will use for bills.

Answer:

Largest 4-digit number is 9999 and smallest 3-digit number is 100 and product is 10000.

Step-by-step explanation:

hope it's helpful to you

Answer:

Rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

Step-by-step explanation:

Given that there are 125 boxes of prescription bottle labels at the beginning of the inventory cycle, and 25 3/4 remain at the end of it, to determine how many boxes of labels remain the following calculation must be performed:

3/4 = 0.75 + 25 = 25.75

125 x 25.75 / 100 = X

3218.75 / 100 = X

32.1875 = X

Thus, rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator or spreadsheet program can plot these points for you. It's probably no more work to actually plot the points yourself on the given graphs than it is to type them into a program.

As you know, the x-coordinate is the horizontal distance from the y-axis. Positive is to the right.

The y-coordinate is the vertical distance from the x-axis. Positive is up.

Answer:

38 in

Step-by-step explanation:

Ok, so the bottom part is a rectangle and the top part is a triangle. We’re gonna split those into two different shapes.

8 * 4 = 32, this is the area of the bottom rectangle.

To get the side length of the top triangle, we have to subtract 8 from 11.

11 - 8 = 3

(3 * 4)/2 = 6, this is the area of the top triangle.

Add the two areas, 32 + 6 = 38

And that’s it, maybe, I think.

Answer:

Sin = -5/13

Cos = 12/13

Tan = -5/12

Step-by-step explanation:

Answer:

y = 1/2x

Step-by-step explanation:

The x seems to double the size of the y on the points.

Answer:

136

Step-by-step explanation:

Sum of 5 and 3: 8

Sum of 8 and 9: 17

17 * 8 is 136

Answer: The sum of 5 and 3 is 8 and the sum of 8 and 9 is 17.

Answer: 380952381 / 1000000000

Step-by-step explanation:

:)P.s. This simplifies to 8/21 .

Answer:

8/21

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

I think that its just a degree sign tbh

but because pc is a radius and so is pd their opposite angles are equal to each other.

so angle d and angle c are congruent

then because a triangles angles add up to equal 180 we do

180=x+54+x+54+x and solve for x

step 1 combine like terms x+x+x=3x 54+54=108

180=3x+108

step 2 subtract each side by 108

3x=72

step 3 divide each side by 3

x=24

hope this helps (:

Answer:

x = 36

Step-by-step explanation:

BD is a diameter.

<BCD is an inscribed angle whose sides intersect the endpoints of a diameter. Therefore m<BCD = 90.

m<BCD = x + 54 = 90

x + 54 = 90

x = 36