The library started the yoar with 14,341 books. At the end of the first week
1456 books had been checked out. At the end of the second week 3,298
books had been checked out and 2,192 books had been returned. How many
books were in the library at the end of the second week?

Answer:10

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

1/2 x 3/4 = 3/8

You multiply the top by the number beside it and do the same for the bottom.

Answer:

the weight of 45 bushels is 1.22

Step-by-step explanation:

The computation is shown below:

As the soybeans has the conversion factor of 36.744

So the weight of 45 bushels be

= 45 ÷ 36.744

= 1.22

hence, the weight of 45 bushels is 1.22

Answer:

I believe the answer would be the option that says: "An elephant walks with a speed of 15 steps a minute. How long was the elephant walking if she walked without stopping for 480 steps?"

Answer:

C. An elephant walks with a speed of 15 steps a minute. How long was the elephant walking if she walked without stopping for 480 steps?

Step-by-step explanation:

C yields the equation of [tex]15x=480[/tex], because 15 stands for steps/minute, 480 for steps, so [tex]x[/tex] must stand for minutes.

For your entertainment:

A gives [tex]x = 480 \cdot 15[/tex].

B gives [tex]x=32-15[/tex].

D gives [tex]x=480+15[/tex].

Answer:

x = [tex]\sqrt{10}[/tex]

Step-by-step explanation:

The 2 right triangles and the outer right triangle are similar, then ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )

x² = 10 ( take the square root of both sides )

x = [tex]\sqrt{10}[/tex]

Answer:

√10

Step-by-step explanation:

taking the smallest triangle;

y as the hypotenuse, x as the adjacent side, 2 as the opposite side

then: y²=x²+2²

x²=y²-2²= y²-4

taking the other triangle;

z as the hypotenuse, x as the adjacent side, 5 as the opposite side

then: z²=x²+5²

x²=z²-5² = z²-25

take both equations,

x²= y²-4

x²= z²-25

y²-4= z²-25

y²= z²-25+4 = z²-21

taking the biggest triangle (whole triangle);

(5+2)= 7 as the hypotenuse, z as the adjacent side, y as the opposite side

then; 7²=z²+y²

z²+y²=7² =49

but y²= z²-21;

z²+y² =49

z²+ z²-21 =49

2z²-21=49

2z²=49+21= 70

z²= 70/2 = 35

take x²= z²-25

x²= 35-25 = 10

[tex]x = \sqrt{10} [/tex]

Answer:

It's 7.3; 74!

Step-by-step explanation:

This was a lucky guess for me on my homework and it was correct sooooo.... I don't really have an explanation...

Definition: For vector [tex]v=<a,b>[/tex], the magnitude is defined as [tex]|v|=\sqrt{a^{2} +b^{2} }[/tex], and the direction of the vector is defined as [tex]tan^{-1}(\frac{b}{a} )[/tex].

Here, [tex]v=<2,7>[/tex].

Then, magnitude is:

[tex]|v|=\sqrt{2^{2}+7^{2} } \\|v|=\sqrt{4+49 } \\|v|=\sqrt{53} \\|v|=7.3[/tex]

The direction is:

[tex]tan^{-1}(\frac{7}{2} )=74^{o}[/tex].

So, the correct option is 7.3,74°.

For more information:

https://brainly.com/question/14942332

Answer:

3/4

Step-by-step explanation:

-3/8÷(-1/2)

-3/8÷-1/2

-3/8÷2/-1

-3×2/-8

-6/-8

-(-6/8)

-(-3/4)

3/4

Answer:

3/4

Step-by-step explanation:

my teacher just told me that answer a few seconds ago

Answer:

The x-intercept is where the graph crosses the x-axis, so in this case, the x-intercepts are (-4, 0) and (-2, 0).

The y-intercept is where the graph crosses the y-axis, so in this case, the y-intercept is (0,8).

The  line of symmetry splits the  graph in two equal halves, and it is x=-3.

Finally, because this graph opens up, the graph is positive.

Let me know if this helps!

Answer:

simplified

Step-by-step explanation:

Answer: 1 -- that is, if they share no common factors other than 1

Step-by-step explanation:

Answer:

58. cm^2.

Step-by-step explanation:

Area of parallelogram = 2 * area of triangle

= 2 * 29

=58.

Answer:

1.366km

Step-by-step explanation:

The height of the mountain is [tex]3.34Km[/tex]

A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.

Let us consider that H represent the height of mountain.

Angle of elevation at point A and C shown in the diagram.

Apply tan function in triangle CBP.

            [tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]

Apply tan function in triangle ABP.

           [tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]

Substituting the value of equation 2 into equation 1.

      [tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]

Hence, The height of the mountain is [tex]3.34Km[/tex]

Learn more about the right angle triangle here:

https://brainly.com/question/64787

Answer:

the answer for this problem would be 24 dollars.

Answer:

5 + 20x

Step-by-step explanation:

Hey! Hope this helps!

Have a nice day♥

Answer:

x=$75

Step-by-step explanation:

Answer:

10 m

Step-by-step explanation:

We are given that the relationship between intensity of sound and distance from the source is given by

Intensity (I)=[tex]\frac{k}{d^2}[/tex]

Where I=Intensity

d=Distance of sound from the source

If distance d=1m

Intensity, I=0.1[tex]w/m^2[/tex]

We have to find how close she can to the stage if vanessa does not want the sound intensity to be more than 0.001(w)/(m^(2)).

Using the formula

[tex]0.1=\frac{k}{1}[/tex]

[tex]k=0.1[/tex]

[tex]\frac{0.1}{d^2}\leq 0.001[/tex]

[tex]\frac{0.1}{0.001d^2}\leq 1[/tex]

[tex]\frac{0.1}{0.001}\leq d^2[/tex]

[tex]100\leq d^2[/tex]

[tex]10\leq d[/tex]

[tex]d=10 m[/tex]

Hence, she can sit 10 m away from the stage.

Answer:

C) 12

Step-by-step explanation:

It is 6x2

Answer:

3.14159265359

Step-by-step explanation:

Hope this helps :)

Answer:

3.14

Step-by-step explanation:

Technically, pi is a an irrational number, meaning that its decimal form neither ends or repeats. But we always shorten it to 3.14.

Answer:

x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+3−2x=24

Step 1: Simplify both sides of the equation.

5x+3−2x=24

5x+3+−2x=24

(5x+−2x)+(3)=24(Combine Like Terms)

3x+3=24

3x+3=24

Step 2: Subtract 3 from both sides.

3x+3−3=24−3

3x=21

Step 3: Divide both sides by 3.

Answer: x=7

Step-by-step explanation:

Given

5x + 3 - 2x = 24

Subtract both sides by 3

5x + 3 - 3 - 2x = 24 - 3

5x - 2x = 21

Simplify

3x = 21

Divide both sides by 3

3x / 3 = 21 / 3

x=7

Hope this helps!!

Please let me know if you have any questions

Answer:

125°

Step-by-step explanation:

By exterior angle theorem:

(3x - 70)° = 60° + x°

(3x - 70)° - x°= 60°

(3x - 70 - x)° = 60°

(2x - 70)° = 60°

2x - 70 = 60

2x = 60 + 70

2x = 130

x = 130/2

x = 65

(3x - 70)° = (3*65 - 70)° = (195 - 70)° = 125°

[tex] m\angle LKM = 125\degree [/tex]

Answer:

           6, 7, 8 are correct

Step-by-step explanation:

[tex]XV=\dfrac{RS+TU}2\\\\\\44=\dfrac{30+TU}2\\\\44\cdot2=30+TU\\\\88-30=TU\\\\TU=58[/tex]

Answer:

[tex]J = 370g[/tex]

Step-by-step explanation:

Given

Represent the weight of the Jar with J and the sugar with S

Initially, we have:

[tex]J + S = 850g[/tex]

After 2/3 of sugar is removed we have:

[tex]J + S -\frac{2}{3}S= 530g[/tex]

Required

Determine the weight of the jar

[tex]J + S = 850g[/tex] --- (1)

[tex]J + S -\frac{2}{3}S= 530g[/tex] --- (2)

Simplify (2)

[tex]J + S -\frac{2S}{3}= 530g[/tex]

Take LCM

[tex]J + \frac{3S - 2S}{3}= 530g[/tex]

[tex]J + \frac{S}{3}= 530g[/tex]

Make S the subject in (1)

[tex]J + S = 850g[/tex]

[tex]S = 850g - J[/tex]

Substitute 850g - J for S in [tex]J + \frac{S}{3}= 530g[/tex]

[tex]J + \frac{850g - J}{3}= 530g[/tex]

Multiply through by 3

[tex]3 * J + 3*\frac{850g - J}{3}= 530g * 3[/tex]

[tex]3J + 850g - J= 1590g[/tex]

Collect Like Terms

[tex]3J - J= 1590g-850g[/tex]

[tex]2J= 740g[/tex]

Make J the subject

[tex]J = \frac{1}{2} * 740g[/tex]

[tex]J = 370g[/tex]

The jar weighs 370g

Answer:

370

Step-by-step explanation:

Answer:

it is 10

Step-by-step explanation:

Answer:

g

Step-by-step explanation:

g

Answer:

I believe the answer would be 20.

Step-by-step explanation:

28/7 = 4

5*4 = 20

Pls mark brainliest <3

0Answer: The answer is 20

Step-by-step explanation: