a carpenter is fitting some bookcases to an alcove, using as much of the space as possible from floor to ceiling, a height of 2.5 m. The books to be fitted into the shelves are 210 mm high and a gap of at least 30 mm is necessary above each book so that they can be removed. The shelves are 20 mm thick. The alcove is 1.2 m wide. The bottom shelf should not be less than 300 mm from the ground, as the house-owner cannot bend down easily. How many shelves can be fitted into the alcove?

Answer:

True they represent the same thing

Answer:

its 4 pizzas

Step-by-step explanation:

The number of pizzas will be a whole quantity. Then the number of pizzas ordered will be 4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A group of 9 people are ordering pizza. Each person wants 3 slices and each pizza has 8 slices.

The total number of slices will be given as,

⇒ 9 x 3

⇒ 27

Then the number of pizzas will be given as,

⇒ 27 / 8

⇒ 3.375

The number of pizzas will be a whole quantity. Then the number of pizzas ordered will be 4.

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Same Question here answered by me correctly with proper explaination.

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________

[tex] \: [/tex]

c² = a² + b²

c² = 1² + (√3)²

c² = 1 + 3

c² = 4

c = √4

c = 2

Step-by-step explanation:

[tex] \frac{4}{5} \times \frac{3}{8} [/tex]

Reduce the numbers with the greatest common factor 4

[tex] \frac{1}{5} \times \frac{3}{2} [/tex]

Just multiply, To multiply the fractions , multiply the numerators and denominators separately

[tex] \frac{1 \times 3}{5 \times 2} [/tex]

[tex] \frac{3}{10} [/tex]

That's the answer 3/10 or 0.3

Combine like terms:

-r-10r

We can always add variables as long as they are the same. So we can not add 10x+20y. That's impossible.

We can't add 3r^2+10r. That's also impossible.

However, we have the same variable, r. So we can add -r-10r. And the answer is:

-11r

Hope this helps! :)

Hey there!

-r - 10r

= -1r - 10r

COMBINE the LIKE TERMS

= (-1 - 10r)

= -11r

Therefore, your answer is: -11r

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

Answer:

7 hours

Step-by-step explanation:

If you divide

171 ÷ 9

you find the $ Tammy made in 1 hour.

171 ÷ 9 = 19

So Tammy made 19 for 1 hour of work.

Then we divide 133 by 19 to find out for how many hours she has to work.

133 ÷ 19.67 = 7. So Tammy has to work 7 hours to make $133.

Answer:

ewan hahahahahahhhahaahahahah

Answer:

[tex]38 \sqrt{2764} \\ 76 \sqrt{691} \\ [/tex]

Answer: 4 hours

Step-by-step explanation:

First, set up an equation. We know that Bob spent $30 on playing paintball so we use that as our 'answer.' We need to find how many hours Bob played so we need to use x, a variable to find it. We also add 16 because we need to account for the entry fee.

3.50x + 16 = 30

Secondly, solve for x. Move 16 across the equal sign(=). Every time you move across the =, you're going to want to change the sign (if it's addition or subtraction). Since it was +16 and we're moving it, it's now -16.

3.50x = 30 - 16

Calculate 30 - 16 = 14.

Now we have

3.50 x = 14.

To calculate x, we're going to need to divide 3.50 from x. Since we multiplied by x we need to do the opposite across the =.

x = 14 / 3.50

x = 4

Bob spent 4 hours playing paintball.

You can plug it in to check answers as well

3.50 (4) +16 = 30

Area = Length X width

Let the width (breadth) = X

The length is double so it is 2x

Area = X * 2x = 2x^2

128 = 2x^2

Divide both sides by 2:

64 = x^2

take the square root of both sides:

x = 8

The breadth = 8 meters

The length = 16 meters

Answer:

x = 6

Step-by-step explanation:

To solve the value of x

3(x-2)=12

First solve the brackets

3x -6 = 12

Now Transpose

3x = 12 + 6

3x = 18

x = 18 ÷ 3

x = 6

The value of x will be 6

Answer:

a) 32

b) 6

Step-by-step explanation:

Answer:

[tex]total \: you \: have \: = x \\after\: lunch \: you \: have \: = \frac{3x}{4} \\ a fter \: giving \: to \: friend = \frac{3x}{8} \\ after \: spending \: for \: boon = \frac{3x}{8} - 3 = 4 \frac{1}{4} \\ \frac{3x - 8 \times 3}{8} = \frac{17}{4} \\ \frac{3x - 24}{2} = 17 \\ 3x - 24 = 17 \times 2 \\ 3x - 24 = 34 \\ 3x = 34 + 24 \\ 3x = 58 \\ x = \frac{58}{3} \\ x = 19.33 \\ thank \: you[/tex]

Answer:

Step-by-step explanation:

slope= (y1-y2)/(x1-x2) = (-4--1)/(-3-0) = -3/-3 = 1

y-intercept = y1 = -4

y=mx+b = y=1x-4

hope this helps!

Answer:

341

Step-by-step explanation:

multiply 31 by 11

Answer:

C.

24 daisies

Step-by-step explanation:

Answer:

(-10, 2)

Step-by-step explanation:

Point A = (-7, 2)

Moving the point 3 units to the left is the same as subtracting 3 from the x coordinate:

(-7, 2) --> (-10,2)

-7 - 3 = -10

Answer:

You can buy 6

Step-by-step explanation:

You divide 84 by 13 and it will give u a decimal

Answer:

eight times sixty seven is equal to five hundred thirty six

[tex]8 \times 67 = 536[/tex]

Answer:

536

Step-by-step explanation:

67

+67

-------

134

+67

-------

201

+67

-------

268

+67

-------

335

+67

-------

402

+67

-------

469

+67

-------

536 which is your answer. For multiplication all you have to do is add the number by its self how many ever times it says.

Answer:

The answer is 1.638

Step-by-step explantion:

11.678-10.04=1.638

So the answer is 1.638

Answer:

1.638

Step-by-step explanation:

11.678-10.04=1.638  

11.678

-10.040

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

1.638

Answer:

1/16

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

To divide fractions we will need to make the 2 and 1/8 into a fraction. We can make it into 17/8 by multiplying 8 by 2 and adding 1. We can also say 34 is 34/1. We now can divide by multiplying by the reciprocal which is 1/34. So we get 17/8*1/34 = 1/16

Answer:

it's 8 4/6 because you have to make the denominator all 6 so you would have to mutiply the bottom and do the same for the top keep the whole number the same and then add it all up you'll get 8 4/6

3 1/6 that is your answer you're welcome.2 1/3=[(2*3)+1]/3=7/3

7/3+5/6=(7*2)/(3*2) + 5/6=(14+5)/6=19/6.You simplify and you get 3 1/6

Answer:

755 gram lighter

Step-by-step explanation:

Convert 1.1kg into gram by multiplying it with 1000

1.1 x 1000= 1100 and we take this amount and subtract it with 345g

1100-345= 755g

Answer:

Lane 3 turtle.

Step-by-step explanation:

The slope for the lane 3 turtle is steeper than that of the lane 1 turtle. We know slope of a position vs time graph is velocity, so whichever turtle has the steeper/greater slope that turtle is fastest.

Answer:

2nd option

Step-by-step explanation:

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MO}{MN}[/tex] = [tex]\frac{8}{15}[/tex]

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Using Trigonometry,