Answer:
b 1/3.5
Step-by-step explanation:
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?
The number of shelves that fit in the alcove is given by the height of each shelve and the height of the bookshelf above the ground
The number of bookshelves that fit into alcove, is 8 bookshelves
Reason:
Height of the alcove = 2.5 m
Height of the books = 210 mm = 0.21 m
The gap above each book = 30 mm = 0.03 m
The thickness of the shelves = 20 mm = 0.02 m
Width of the alcove = 1.2 m
Height of the bottom shelf above the ground = 300 mm = 0.3 m
Required:
The number of shelves that can be fitted into the alcove
Solution;
Let x, represent the number of shelves that can be fitted into the alcove
We have;
An initial height of the bookshelves above the ground = 0.3 m
Height of a shelve, H = Height of books + Gap above books + Thickness of shelves
Height above ground, including the bottom shelve = 0.3 m
[tex]x = \dfrac{2.5 - (0.3)}{0.02 + 0.03 } = 8\frac{6}{13}\approx 8.46[/tex]Therefore, the maximum number of whole bookshelves that can be fitted into alcove, x ≈ 8 bookshelves
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At the beginning of the week, Aksa’s parents deposited $20 into Aksa’s lunch account. The amount of money Aksa had left after each day is shown in the table, where x is the number of days and y is the remaining balance.
a. What are the x- and y-intercepts?
b. What do the x- and y-intercepts represent?
Here we need to plot x and y co-ordinates from the given table.
What are x and y co-ordinates and intercepts ?This is 2D co-ordinate geometry here we have an x axis and a y axis we use co-ordinate geometry to plot lines and curves according to the gives question.when the question consist of linear equations they form straight lines and when questions consists of quadratic and higher degree polynomials they form curves.
a. Here the the days are represented by x and remaing balance are represented by y.
So, when x = 0, y = 20 is co-ordinate form we can represent this as (0,20)
similarly the other co-ordinate points are (1,16), (2,12), (3,8), (4,4), (5,0).
b. x- and y- intercepts represnts the value of one variable corresponding to the other variable.
Learn more about co-ordinates and intercepts here :
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Two quantities can only be added when they are ________
This question has been answered in a secondary question post by the OP.
work out x pls anwser pls
Answer:
66?
Step-by-step explanation:
180 degrees in a triangle, add 79 and 35 together = 114
180 - 114 = 66
Answer:
66°
Step-by-step explanation:
All angles in a triangle add up to 180° . Therefore you will need to add up 79° and 35° then subtract it from 180° in order to find the missing angle x.
I dont understand this plz help me
Answer:
Step-by-step explanation:
what is the slope in y + 4 = -2(x - 9)?
Answer:
is y=−2x+14
Step-by-step explanation:
because yo.multipli
Answer:
y- y1 =m(x -x1)
comparing these; -y1= 4;y1 = -4
m= -2 ;x1 = 9
The slope is -2
Step-by-step explanation:
PLS MARK BRAINLIEST
Penny reads 11 pages in 1/3 hour. What is the unit rate for pages per hour? For hours per page?
Answer: 33
Step-by-step explanation:
Answer:
33 pages per hour
Step-by-step explanation:
1. To solve for how many pages Penny can read in one hour, we need to write a ratio of pages to hours.
[tex]11: 1/3 = x : 1[/tex]2. Now, 1/3 goes into one, three times. This means that 11 goes into x, three times. We can write "11 goes into x, three times" as: [tex]\frac{x}{11} =3[/tex].
3. (Solving x/11 = 3)
Step 1: Multiply both sides by 11
[tex]\frac{x}{11}*11=3*11[/tex] [tex]x = 33[/tex]Therefore, Penny read 33 pages per hour.
I NEED HELP PLEASEEE
Answer:
b = [tex]\sqrt{333}[/tex]
Step-by-step explanation:
1. We can use the Pythagorean Theorem to find the missing side, b.
[tex]14^2 + b^2 = 23^2[/tex]2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](14*14)+b^2 =(23*23)[/tex] [tex]196 + b^2 = 529[/tex]Step 2: Subtract 196 from both sides.
[tex]196 + b^2 - 196 = 529 - 196[/tex] [tex]b^2 = 333[/tex]Step 3: Take square root of both sides.
[tex]\sqrt{b^2} = \sqrt{333}[/tex] [tex]b = \sqrt{333}[/tex]Step 4: Check if solution is correct.
[tex]14^2 + \sqrt{333^2} = 23^2[/tex] [tex](14*14)+(\sqrt{333} *\sqrt{333})=23*23[/tex] [tex]196 + 333 = 529[/tex] [tex]529 = 529[/tex]Therefore, b = [tex]\sqrt{333}[/tex].
Answer:
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^2\\14^2 + b^2 = 23^2\\\\196 + b^2 = 529\\\\b^2 = 333\\b = 18.2482875909[/tex]
what is plzz help me 3[x-6]
Answer: if this is distribution it would be 3x-18
Step-by-step explanation:
Find the equation of the line passing through the points (22,37) and (-33,-23). Write your answer in the form
y
=
m
x
+
b
.
y
=
m
x
+
b
.
Answer:
y = 12/11x + 13
Step-by-step explanation:
Slope: (-23-37) / (-33-22) = -60/-55 = 12/11
b = 37 - (12/11)(22) = 13
9e - 7 = 7e - 11
solve for e
Answer:
e = -2
Step-by-step explanation:
9e - 7 = 7e - 11
Subtract 7e from both side
2e - 7 = -11
Add 7 to both sides
2e = -4
Divide by 2 to isolate e
e = - 2
Answer:
e = -2
Step-by-step explanation:
9e - 7 = 7e -11
9e - 7e - 7 = -11
9e - 7e = -11 + 7
2e = -4
e = -2
Feel free to mark this as brainliest! :D
Will give correct answer brainliest
Answer:
(2,-5)
(-6,-7)
(-7,-4)
these are the coordinates after the transformation
if f(x) = 11x + 8 find f(0)
Answer:
f(0) = 8
Step-by-step explanation:
x = 0
11(0) + 8 =
0 + 8 =
8
Answer:
[tex]\large\boxed{\mathtt{f(0)=8}}[/tex]
Step-by-step Explanation:
[tex]\textsf{We are asked to simplify the function.}[/tex]
[tex]\textsf{We are given f(0). 0 is substituted inside as the x.}[/tex]
[tex]\textsf{Let's substitute 0 into x.}[/tex]
[tex]\large\underline{\textsf{Substitute;}}[/tex]
[tex]\mathtt{f(0)=11(0)+8}[/tex]
[tex]\large\underline{\textsf{Multiply;}}[/tex]
[tex]\mathtt{f(0)=8}[/tex]
[tex]\large\underline{\textsf{Note that;}}[/tex]
[tex]\textsf{When you are asked to simplify a function, they're mainly asking you to substitute.}[/tex]
[tex]\textsf{The Order of Operations (PEMDAS) \underline{still} applies here.}[/tex]
Line m passes through the points (2, -7) and (4, -9) line m is parallel to which line
Answer:
D............... y= -1
Answer:
Option A. y= -x + 2
Step-by-step explanation:
RATE BRAINLIEST
we first have to find m which is the slope. The equation are parallel when they have the same slope
(2,-7) and (4,-9)
m = 4-2/ -9-(-7)
=2/-2
m = -1
Option A. y=-x + 2
can y'all help me with this one I'm stumped, 1 + k over 5 equals -1
Answer:
k=-10
Step-by-step explanation:
first subtract the 1 from both sides
so then you have k/5=-2
then multiply by 5 on both sides
which gives you k=-10
PLS HELP I'LL DIRECTLY MARK YOU BRAINLIST !!!
Answer:
[tex]12 \div \frac{3}{4} = 12 \times \frac{4}{3} = 12 \times 4 \div 3 = 4 \times 4 = 16 \\ 16 \times 5 = 80 \: ft \: [/tex]
first you must know how many 3/4 do you have
because of scale
and after that multiply to 5 to get actual length
I need help again you guys hehe plz help :)
Write the verbal phrase
as an
algebraic expression.
1.
the sum of d and 7
Answer:7
Step-by-step explanation:
I graduate from Harvard
Phương trình lượng giác
Answer:
Phương trình lượng giác là phương trình liên quan đến một hoặc nhiều tỉ số lượng giác của các góc chưa biết. Nó được biểu thị dưới dạng tỷ số của các góc sin (sin), cosin (cos), tiếp tuyến (tan), cotang (cot), secant (giây), cosecant (cosec). Ví dụ, cos2 x + 5 sin x = 0 là một phương trình lượng giác.
Step-by-step explanation:
12r-5 61°
R
A) 790
C) 140°
B) 70°
D) 970
Answer:
79 because x = 7 so 12 x7 - 5 =79
Which of the following is the solution to 17 - 2x=-11?
03
O-14
14
-3
Answer:
17-2x=-11 ---> 14
Step-by-step explanation:
plug in the "answers"
17-2(14)=-11
A school had 180 boys and 240 girls attending
(a) What is the ratio of boys to girls?
(b) What is the ratio of girls to boys?
(c) What is the ratio of students to boys?
(d) What is the ratio of girls to students?
Answer:
a) 3 : 4
b) 4 : 3
c) 7 : 3
d) 4 : 7
Step-by-step explanation:
(just a side note: you can write ratios in fraction form as well!)
To find the ratio between boys to girls, we would write it like this:
180/240 or 180 : 240 or 180 to 240
Although that is right, that isn't simplified.
Thus, we need to find a common factor that both the numerator and denominator share!
180 and 240 are both divisible by 60!
180 ÷ 60 = 3
240 ÷ 60 = 4
Therefore, you would get a simplified ratio of 3 : 4! For every 3 boys. there are 4 girls!
For part b, you simply switch the 4 and 3 around so you get 4 : 3. For every 4 girls, there are 3 boys.
Now part c involves the total amount of students...
Basically, add the number of boys and the number of girls together, and you would get 420.
420 : 120 shows the amount of students there are to boys...but it is not in its simplest form!!
Like we did before, we have to find a common factor between the two...which is 60!
420 ÷ 60 = 7
120 ÷ 60 = 3
Thus, there are 7 students for every 3 boys (7 : 3)
Finally, part d! Simply the ratio:
420 : 240
Divide both by 60 and...
You get 4 :7! For every 4 girls, there are 7 students
Hope this helps! Let me know if you have any other questions :D
Answer:
(a) 3:4
(b) 4:3
(c) 7:3
(d) 4:7
Step-by-step explanation:
(a) 3:4
180:240 = 3:4 (after simplification)
(b) 4:3
240:180 = 4:3 (after simplification)
(c) 7:3
Total number of students = 240 + 180 = 420
420:180 = 7:3 (after simplification)
(d) 4:7
Total number of students = 240 + 180 = 420
240: 420 = 4:7 (after simplification)
Writing lan's car can go 296 miles on 8 gallons of gas. During a drive last weekend, lan used
7 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if
you were given the distance lan drove last weekend instead of how much gas he used
Answer:
259 milesStep-by-step explanation:
296 miles on 8 gallons of gas.
Find the miles on 1 gallon of gas:
296/8 = 37 milesFind the distance on 7 gallons of gas:
7*37 = 259 milesGiven :
Writing lan's car can go 296 miles on 8 gallons of gas. During a drive last weekend, lan used7 gallons of gas.To find :-
How far did he drive?Solution :-
According to Question ,
Car can go 296 mi on 8 gallons of gas.Using Unitary Method ,
On 1 gallon of gas it will go 296/8 miOn 7 , it will go 296/8*7 = 259 milesHence the required answer is 259 miles
What is the total price of a $45.79 item when a 7% taxe is added
Answer:
$42.58
Step-by-step explanation:
You would multiply the price of the item (45.79) by the percentage as a decimal (0.07) and subtract the product.
in this case:
45.79x0.07 = 3.205 (rounded 3.21)
45.79-3.21 = 42.58
Pls I need help and a explanation
Answer:
20) 7/16 = 0.4375
21) 1/6 = 1.6 repeating
22) 2 4/5 = 2.8
23) 98 2/3 = 98.6 repeating
24) 0.8 = 4/5
25) 26 1/5
26) 72.1 repeating = 72 1/9
27) 0.505 = 101/200
Explanation:
To convert fraction into decimal, divide the numerator by the denominator and that's your answer. For example:
7 ÷ 16 = 0.4375.
To convert a decimal into a fraction, place the number after the decimal point over the number place it's in. For example: If you look at 0.8 , 8 is in the tenths place, so you place it over 10 like this 8/10, and then you simplify. Half of 8 is 4 , and half of 10 is 5, so you'd have 4/5.
For #27, since 505 in 0.505 , is in the thousandths place, you'd put it over 1,000 like this 505/1000 and then you simplify. Look at image above to learn how to simplify 505/1000.⤴⤴⤴
help plshelp plshelp plshelp plshelp pls
Answer:
90 grams of paint
Step-by-step explanation:
Easy, if you check this is a 3 x 3 x 2 cube which totals 18
So if each small cube is 5 grams
18 * 5 = 90
plssss heeeeeeeeeeeeeeelp
Answer:
-25
Step-by-step explanation:
brainliest?
Which graph matches the equation 4x² + 25y^2 = 100?
graph b matches the equation
What is 5x+4=8x-71? SHOW WORK!!!!
Answer:
x=25
Step-by-step explanation:
5x + 4 = 8x-71
-5x = -5x
4 = 3x-71
+71 = +71
75 = 3x
75/3 = 3x/3
25 = x
Solve. 39 divided by 11
O A) 3 5/11
O B) 3 6/11
O C) 11 1/2
O D) 6 3/11