The library has 2,730 books. If each shelf can hold 30 books, how many shelves will the library need to hold all of its books?

Answer:

x - 12

Step-by-step explanation:

"twelve" - number

"less than" - switches the entire expression

"a variable" - a unknown number shown as a letter. can be x.

Now we have cut the entire word expression into smaller peices, we can combine it into a actual expression.

12 - x will turn into:

x - 12

Hope this helped.

Answer:

x-12

Step-by-step explanation:

Let the variable be x

12 less than x

x-12

Answer:99

Step-by-step explanation:(11×9)×1=99

Answer:

Step-by-step explanation:

(a x b) x c

a = 11, b = 9, and c = 1

In order to solve substitute the values of a , b and c into the above expression

That's

( 11 × 9) × 1

Solve the terms in the bracket first

99 × 1

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Draw a triangle and label the sides (picture below):

● the length is 2x+2

● and the width or the height is 6x

The perimeter of a rectangle is the sum of the sides

● P = 2x+2 + 6x + 2x+2 + 6x

Isolate the similar terms

● P = (2x+2x+6x+6x) + (2+2)

● P = 16x + 4

The perimeter of the window of lengths 2x+2 and 6x is 16x + 4

The formula for calculating the perimeter of a rectangle is expressed as:

[tex]P=2(L+W)[/tex] where:

L is the length of the rectangular stained glass window.

W is the width of the rectangle stained glass window

Given the following

L = (2x +2) inches

W = 6x inches

Substitute the given values into the formula as shown:

[tex]P = 2(2x+2+6x)\\P=2(2x+6x+2)\\P=2(8x+2)\\P=2(8x)+2(2)\\P=16x+4[/tex]

Hence the perimeter of the window is 16x + 4

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Answer: x = 154°

Step-by-step explanation:

In this tangents are formed

So the two unknown opposite angles at the curves will be 90° each.

So using angle sum property of a quadilateral in which all angles adds upto 360°

We get x as

90+90+26+x = 360

206+x = 360

x = 360 - 206

x = 154

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Answer:

Step-by-step explanation:

Please use " ^ " to indicate exponentiation.

Your "x - 9/8" should be     x ^(-9/8).

The 8 represents "the eighth root" of x, and the -9 represents the power to which x is to be raised.  Finally, the " - " sign shows that this 9th power is in the denominator.

x ^(-9/8)     in radical form is     ----------------

[tex]1 divided by \sqrt[8]{x^9\\} \\[/tex]

Answer:

22%

Brainliest, please!

Step-by-step explanation:

78 - 64 = 14

14 / 64 = 0.21875

= 22% (when rounded)

Answer: 1880 pounds

Step-by-step explanation: when you take the average adult weight, around 160 lbs. you multiply that by eight. you get 1280. then you estimate that each of the children weigh around 100 lbs, then you add 600 to 1280 and get 1,880 lbs

Answer:

This is already listed in increasing order:

Given order .

We have to arrange it in increasing means lowest to highest

[tex]\\ \sf\longmapsto 780<807<870[/tex]

The listing will be

[tex]\\ \sf\longmapsto 780;807;870[/tex]

[tex]{ \boxed{\boxed{\begin{array}{cc} \maltese  \bf \: given \: \\ \\ \rm \: d - \frac{1}{d} = 6 \\ \\ \bf \: now \\ \\ \rm {(d + \frac{1}{d} })^{2} = ( {d - \frac{1}{d} })^{2} + 4 \times d \times \frac{1}{d} \\ \\ = {6}^{2} + 4 \\ \\ = 36 + 4 \\ \\ = 40 \\ \\ \rm \: d + \frac{1}{d} = \pm \sqrt{40} \end{array}}}}[/tex]

Answer:

17

Step-by-step explanation:

Answer:

4ny²+4n²-4n-8+y⁴-2y²

The triangle ABC, triangle FDE, and triangle GIH are congruent with each other.

Three sides and three internal angles define a triangle, a basic shape. The symbol is used to represent one of the geometric shapes in which the three corners are connected to one another. Triangles are categorized according to their sides into numerous different forms.

As per the given data in the question,

Sides AB = DF, AB = GI, BC = HI, and DE = HI are equal to each other.

Also, the angles, m∠B = m∠D = m∠I are equal.

Then by the property of the side angle side all the triangles are congruent with each other.

To know more about Triangle:

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Answer:

A.  ΔABC, ΔFDE, and ΔGIH

Answer:

Step-by-step explanation:

3(m-12)+8

x=m-12

Answer:

Option A

Step-by-step explanation:

Using trigonometry ratios

tan∅= opp/adj

tan 30°=n/(5√3)

1/√3 = n/(5√3)

n = (5√3)/√3

n = 5

Answer:

Step-by-step explanation:

Principal ( P ) = $ 300

Rate ( R ) = 3%

Time ( T ) = 2 years

Now, let's find the simple Interest:

I = [tex] \mathsf {\frac{PTR}{100} }[/tex]

[tex] \mathsf{ = \frac{300 \times 2 \times 3}{100} }[/tex]

[tex] \mathsf{ = \frac{1800}{100} }[/tex]

[tex] \mathsf{ = 18}[/tex]

Extra information:

Simple Interest

In our daily life when we borrow a sum of money either from a moneylender or from any financial company, we have to pay the money back by adding with extra sum of money. This borrowed money is called principal. The extra money to be paid for the borrowing money is called interest , which is paid after certain duration in certain rate. At last, the borrowed money should be paid back along with interest which is called amount.

Interest is based on three factors : Principal ( P ) , Rate of interest ( R ) and Time ( T ). While computing the interest, the rate must be in percent and time in years.

[tex] \mathsf{ \: simple \: interest \: = \frac{PTR}{100} }[/tex]

On simplifying

[tex] \mathsf{p = \frac{I \times 100}{T \times R} }[/tex]

[tex] \mathsf{t = \frac{I \times 100}{P \times R} }[/tex]

[tex] \mathsf{r = \frac{I \times 100}{P \times T}} [/tex]

And from the definition,

Amount ( A ) = Principal ( P ) + Interest ( I )

Principal ( P ) = Amount ( A ) - Interest ( I )

Interest ( I ) = Amount ( A ) - Principal ( P )

Hope I helped!

Best regards!

Answer:$18

Step-by-step explanation:3% of $300 is $9.$9 is the interest of 1 year so the interest of 2 years is 2 multiplied by 9 which is $18.

Answer:

slope = -1

y intercept (0,-2)

Step-by-step explanation:

We can use the two points to find the slope

(-4,2) and (1,-3)

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

    = (-3 -2)/(1 - -4)

   = -5 /(1+4)

   = -5/5

 - 1

The y intercept is where it crosses the y axis

y intercept is (0,-2)

Answer:

Two and three fourtieths.

Step-by-step explanation:

5 6/8 + 4 4/5

= 46/8 + 24/5

= 83/40

= 2 3/40

Two and three fourtieths(2 3/40) is the answer.

Answer: 9 22/40

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

(204-x)/2=78

or, 204-x=156

or, x=204-156

or, x=48

Answer: 14%

Step-by-step explanation:

Complete question is provided in the attachment below:

Probability that members of the junior varsity swim team wear glasses = 55%=0.55

Given: P(wear glasses) = 0.55

P(not wear glasses) = 1-0.55 = 0.45

P(member in 10th grade | not wear glasses) = 30%

Using conditional probability formula:

[tex]P(B|A)=\dfrac{P(A\text{ and } B)}{P(A)}[/tex]

[tex]\Rightarrow\ 0.30=\dfrac{P(\text{not wear glasses and in 10th grade})}{0.45}\\\\\Rightarrow\ P(\text{not wear glasses and in 10th grade})=0.45\times0.30\\\\0.135=13.5\%\approx14\%[/tex]

Hence, the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade = 14%.

So, the correct option is "14%".

Answer:

coin 1

Step-by-step explanation: i think this is it

Answer:

Heads is a 50, 50 situation. so 1/2 plus 1/2 is 1/4

Answer:

Below

Step-by-step explanation:

● x^2 + 11x + 121/4 = 125/4

Substract 125/4 from both sides:

● x^2 + 11x + 121/4-125/4= 125/4 -125/4

● x^2 + 11x - (-4/4) = 0

● x^2 +11x -(-1) = 0

● x^2 + 11 x + 1 = 0

This is a quadratic equation so we will use the determinanant (b^2-4ac)

● a = 1

● b = 11

● c = 1

● b^2-4ac = 11^2-4*1*1 = 117

So this equation has two solutions:

● x = (-b -/+ √(b^2-4ac) ) / 2a

● x = (-11 -/+ √(117) ) / 2

● x = (-11 -/+ 3√(13))/ 2

● x = -0.91 or x = -10.9

Round to the nearest unit

● x = -1 or x = -11

The solutions are { -1,-11}

The solution of the equation x² + 11x + (121/4) = 125/4 will be 0.09 and negative 11.09.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

x² + 11x + (121/4) = 125/4

Simplify the equation, then the equation will be

4x² + 44x + 121 = 125

4x² + 44x + 121 - 125 = 0

4x² + 44x - 4 = 0

x² + 11x - 1 = 0

We know that the formula, then we have

[tex]\rm x = \dfrac{-b \pm \sqrt {b^2 - 4ac}}{2a}[/tex]

The value of a = 1, b = 11, and c = -1. Then we have

[tex]\rm x = \dfrac{-11 \pm \sqrt {11^2 - 4 \times 1 \times (-1)}}{2 \times 1}\\\rm x = \dfrac{-11 \pm \sqrt {121 +4}}{2 }\\x = \dfrac{-11 \pm \sqrt {125}}{2 }[/tex]

Simplify the equation, then we have

x = (- 11 ± 11.18) / 2

x = (-11 - 11.18) / 2, (-11 + 11.18) / 2

x = -11.09, 0.09

The solution of the equation will be 0.09 and negative 11.09.

More about the solution of the equation link is given below.

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Answer: 1: Slope 0   Y- Intercept -5

2: Slope 0    Y- Intercept 6

Step-by-step explanation:

Answer:

(-11, -6)

Step-by-step explanation:

Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.

-3 - 5 = -8 (distance between x coordinates)

-1 - 4 = -5 (distance between y coordinates)

Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.

-3 - 8 = -11

-1 - 5 = -6

So, the point (x, y) is (-11, -6)

Answer:

<ADC=90

therefore AC= 20 using Pytagoras

BAC is a right angle triangle because it belongs to the Pytagoras theorem:25,20,15 i.e 25²=15²+20²

3) I DON'T THINK PQR IS A RIGHT ANGLE TRIANGLE because it doesn't belong to the Pytagoras triple.

Answer:

A 2 by 2 inch square has an area of 4 square inches.

If its area is increased by 21 inches, then its area equals 25 square inches.

To find the length of the side we take the square root of 25 square inches which is 5 inches.

Step-by-step explanation:

Answer:

3.0 miles

Step-by-step explanation:

Using the conversion 1 mile equals 1.6093 km to convert 4.9 kilometers to miles, round to the nearest tenth of a mile.

1 mile = 1.6093 km

Convert 4.9km to mile

We can use cross multiplication :

Let the number of miles = m

1 mile = 1.6093 km

'm' miles = 4.9 km

Cross multiply :

m × 1.6093 = 4.9 × 1

m = 4.9 / 1.6093

m = 3.0448020 miles

Rounding 3.0448020 to the nearest tenth :

3.0 miles

Answer:

x=1

Step-by-step explanation:

subtract 38 from both sides:

7x=7

divide both sides by 7 to isolate x:

x=1

HOPE THIS HELPS!!!! :)

Answer:

b.$3170

Step-by-step explanation:

43,000-35,000=8,000

SO you would find 9% commission on 8,000

8,000x.09=720

then, you would find his normal commission if he only made 35,000

so you would do 35,000x.07=2450

you would, then, add the two together to get his entire commission, which is $3170

Answer:

b

Step-by-step explanation:

Answer:

[tex]y=60\textdegree[/tex]

Step-by-step explanation:

The Tangent-Secant Interior Angle Measure Theorem states that the measure of an angle formed by a tangent and a secant of a circle at the point of tangency is equal to half of the measure of its intercepted arc.

Therefore, [tex]y=\frac{1}{2} *120\textdegree = \bf 60\textdegree[/tex]. Hope this helps!