Answer:
70
Step-by-step explanation:
Let the no of books bought be x
The cost price of 1 book is 5x
No of the missing book is 15
The remaining book is x-15
The selling price of 1 book is 87
Selling price of (x-15) book is 87
Hence the number of books can be calculated as follows
8(x-15)-5x= 90
8x-120-5x= 90
8x-5x= 90+120
3x= 210
x= 210/3
= 70
Hence the number of books bought is 70
The sides of a triangle are x cm, (x - 1) cm and (x + 2) cm. IF the perimeter is 29 cm, then the SHORTEST side is
Answer:
8 1/3
Step-by-step explanation:
x+(x-1)+(x+2)=29
3x+1=29
3x=28
x=9 1/3
9 1/3-1= 8 1/3
As an estimation we are told £3 is €4.
Convert £54.20 to euros.
Give your answer rounded to 2 DP.
Answer:
72.27 euros
(54.20 X 4) / 3
in comparison to 1/3 where would 2/6 be located on a number line
Answer:
The same place as 1/3
Step-by-step explanation:
image for more context
PLZZZ GIVE ME BRAINLIEST
A positive number is 5 times another number if 21 is added to both the numbers the one of the new numbers becomes twice the other number. what are the numbers
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? Thus, the required numbers are 7 and 35
A picture is attached!
Hope it helps!
Brainliest pls!
Follow me! :)
Please help! And please serious answers only
Answer:
This is a quadratic function
write it in the form [tex]a(x-h)^2+k[/tex]
h and k is the vertex, meaning the coordinate that is lowest or highest point depending on where the function is...pointing. You can see that the function is point up, so h is the x coordinate is at the bottom. the vertex coordinate is (9, -4), im sure you know why. In the formula, h means the x and k is the y. So that means that the h is 9 and k is -4.
now the think will be [tex]a(x-9)^2-4\\[/tex]
now you find a by plugging one of the point, you can take the point (12, 4)
[tex]a(12-9)^2-4=4\\9a=8\\8/9=a\\[/tex]
so the equation
[tex]8/9 (x-9)^2 -4[/tex]
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = [tex]\frac{8\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
x × [tex]\sqrt{3}[/tex] = 8 ( divide both sides by [tex]\sqrt{3}[/tex] )
x = [tex]\frac{8}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising the denominator )
x = [tex]\frac{8\sqrt{3} }{3}[/tex]
Combine like terms 3x+8b+7x+11+6b=
Answer:
10x+14b+11
Step-by-step explanation:
3x+8b+7x+11+6b
3x+7x+8b+6b+11 = Regroup them
10x+14b+11 = Combine like terms
The requried, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
To combine like terms 3x+8b+7x+11+6b, we can add the coefficients of x, add the coefficients of b, and add the constant terms. So we have:
3x + 8b + 7x + 11 + 6b = (3x + 7x) + (8b + 6b) + 11
Combining the like terms:
= 10x + 14b + 11
Therefore, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.
Learn more about simplification here:
https://brainly.com/question/12501526
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Help
Here are the city gas mileages for 13
different midsized cars in 2008.
SI
16, 15, 22, 21, 24, 19, 20, 20, 21, 27,
18, 21, 48
What is the maximum?
Enter
Answer:
48
Step-by-step explanation:
Because it’s the biggest number
Every month, a company increases its sales by twice the previous month. The company experienced 23 sales in January, 46 sales in February, 92 sales in March, and so on. If this pattern continues, how many total sales will the company have made after 9 months?
5. Some values of linear functions A and B are shown in the table and graph.
Function A
Function B
x y
0 1
11.25
21.5
3
1.75
42
Which of the following describes the y-intercepts of the two functions?
A. The y-intercept of Function A is equal to the y-intercept of Function B.
B. The y-intercept of Function A is 1 unit less than the y-intercept of Function B.
C. The y-intercept of Function A is 1 unit greater than the y-intercept of Function B.
D. The y-intercept of Function A is 2 units greater than the y-intercept of Function B.
The y-intercept of Function A is 1 unit greater than the y-intercept of Function B. Then the correct option is C.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Some values of linear functions A and B are shown in the table and graph.
Function A
x y
0 1
1 1.25
2 1.5
3 1.75
4 2
The function A is passing through (0, 1), then the equation of the line will be
1 = 0m + c
c = 1
Then the equation of the function A will be y = mx + 1.
From, the graph, it is clear that the y-intercept of Function A is 1 unit greater than the y-intercept of Function B.
Then the correct option is C.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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What are two numbers that has the product of 40 but has the sum of 13
Answer:
8 and 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
What are the factors of 40? 8 * 5
8 + 5 = 13
To do it algebraically gives you a quadratic:
A + B = 13
AB = 40
A(13 - A) = 40
A2 - 13A + 40 = 0
(A - 8)(A - 5) = 0
A = 8 and B = 5
Read the part of a letter. Dear Nana, I am so glad you came to our house for dinner on Sunday, and I appreciate your kind birthday wishes. I love the journal you gave me, and I will treasure it. Every night, I have been recording my thoughts. What describes the type and purpose of this letter? It is a friendly letter written to express thanks. It is a business letter written to offer information. It is a persuasive letter written to suggest a change. It is a friendly letter written to make future plans.
Answer:
Step-by-step explanation:
A
HELP PLEASE!! Please don't give me sites or links, those won't work since the site is blocked
Find the value of x. Round the length to the nearest tenth.
33 cm
4.1 cm
4.4 cm
11.3 cm
Answer:
4.4 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 20 = x/12
12 tan 20 = x
4.367642811=x
Rounding to the nearest tenth
4.4 =x
Answer:
4.4 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 20°
Opposite Leg = x
Adjacent Leg = 12 cm
Step 2: Solve for x
Substitute in variables [Tangent]: [tex]\displaystyle tan(20^\circ) = \frac{x}{12}[/tex][Multiplication Property of Equality] Multiply 12 on both sides: [tex]\displaystyle 12tan(20^\circ) = x[/tex]Rewrite: [tex]\displaystyle x = 12tan(20^\circ)[/tex]Evaluate: [tex]\displaystyle x = 4.36764[/tex]Round: [tex]\displaystyle x = 4.4[/tex]Please help me, I need help
Answer:
x:5⁰
y:52⁰
Step-by-step explanation:
triangle:180⁰
the triangleis isoceles triangle so y:52⁰
so B is 72⁰
(14x+6)⁰=(14(5)+6)⁰=72⁰
can you answer this???
Answer:
no sorry
Step-by-step explanation:
Mario's dog has three puppies: Archie, Bailey, and Coco. Mario measures the weight of the puppies across several months. Then he represents their weight as a function of time. In all three functions, represents each puppy's weight in pounds and x represents the time in months.
Answer:
[tex]y = x+ 2[/tex] ---- Archie
[tex]y = \frac{3}{2}x + 3[/tex] --- Bailey
[tex]y = \frac{5}{4}x +2[/tex] --- Coco
Step-by-step explanation:
Given
See attachment for the representation
Required
Determine the function (i.e. equation) of each
Archie
Take 2 point from the line of the graph
[tex](x_1,y_1) = (0,2)[/tex]
[tex](x_2,y_2) = (12,14)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{14 - 2}{12 - 0}[/tex]
[tex]m = \frac{12}{12}[/tex]
[tex]m =1[/tex]
Archie's equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 1(x - 0) + 2[/tex]
[tex]y = 1(x) + 2[/tex]
[tex]y = x+ 2[/tex]
Bailey
[tex]y = \frac{3}{2}x + 3[/tex] --- Given
Coco
Take 2 point from the table
[tex](x_1,y_1) = (2,4.5)[/tex]
[tex](x_2,y_2) = (6,9.5)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{9.5 - 4.5}{6 -2}[/tex]
[tex]m = \frac{5}{4}[/tex]
Coco's equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = \frac{5}{4}(x - 2) + 4.5[/tex]
[tex]y = \frac{5}{4}x - \frac{5}{2} + 4.5[/tex]
[tex]y = \frac{5}{4}x - 2.5 + 4.5[/tex]
[tex]y = \frac{5}{4}x +2[/tex]
In science class we discovered that 7/8 of an apple is water.What fraction of the apple is not water?
Answer:
1/8
Hope this helps
9. Todd takes out a student loan for $25,000. The annual simple interest
rate on the loan is 4.75%. How many years will it take for the interest on
the loan to reach $7,125?
Answer:6
Step-by-step explanation:
4.75% of 25000 is 1,187.5
Times 6 it's 7,125
You randomly choose one shirt from the shelves.
Find the probability of the event.
The probability of choosing an orange shirt is
Answer:
umm I don't know you have to tell me more and I can find out what it is
To the nearest cent, what is the ,begin emphasis,mean,end emphasis, weekly income of these employees?
Answer options with 4 options
A.$115.64
B.$138.05
C.$140.23
D.$157.38
Answer:
I think b?
Step-by-step explanation:
Answer:
157.38
Step-by-step explanation:
if you add all those numbers you will get 1888.59/12= 157.38
I need helpppppppppppoppppp
Answer:
Step-by-step explanation:
all of the statements are true
Your 6 and 2/3 year investment of $1,450 at 5.4% compounded monthly brought you a grand total of?
Answer:
$2,003.38
Step-by-step explanation:
Please help this is my last question no links please
Answer:
i will say the second one
Step-by-step explanation:
Hiiiooo! Can someone please help ❤️
Answer:
B. √21
Step-by-step explanation:
x^2 = √5 x √5 + 4 x 4
x^2 = 5 + 16
x^2 = 21
x = √21
Hope that helps! :)
-Aphrodite
Answer:
im not entirely sure but the equation for your hypotenuse (x) is [tex]\sqrt 5^{2} * 4^{2}[/tex]
which is 80 and the square root of 80 is 8.944 and that would be your hypotenuse
(i just realized that is completely wrong, sorry)
Pls Answer! Will give brainliest. Khanna earns a annual salary of $33,000. Her federal income tax bracket is 20%. She also must pay 7.65 % Social Security and Medicare taxes. She plans to deposit 15% of her net income into a savings account. Rounded to the nearest dollar how much will she save annually?
3203
3581
3960
4571
Answer: $3,581
Step-by-step explanation:
As she plans to save from her net income, we have to find the net income first:
= Net income - Federal taxes - Social and Medicare taxes
= 33,000 - (33,000 * 20%) - (33,000 * 7.65%)
= $23,875.50
The savings will be:
= Net income * Savings percentage
= 23,875.50 * 15%
= $3,581.325
= $3,581
What is the y-coordinate of the solution of the system?
4x−y=−21
y = x + 6
Enter your answer in the box.
Answer:
x= -13, y= -7
Step-by-step explanation:
Solve the inequality:
8 = 5a > -12
help!!! No links and correct awnser gets brainliest✨
Answer:
a = 4
Step-by-step explanation:
8 = 5a > - 12
8 + 12 = 5a > - 12 + 12
20 = 5a
20 ÷ 5 = 5a ÷ 5
a = 4
Check:
8 = 5(4) < 12
8 = 20 < 12
It is correct.
if perimeter of square is 72cm find it length
Answer:
18 cm each side
Step-by-step explanation:
Square has 4 sides. So, 72/4=18
18 cm each side
plz mark me as brainliest.
The cone has a base diameter of 20cm and a slant height of 25 cm.
A circle is drawn around the surface of the cone at a slant height of 10cm above the base.
The curved surface of the cone above the circle is painted grey.
Work out the area of the curved surface of the cone that is not painted grey,
Give your answer as a multiple of
You must show all your working.
Answer:
The area of the cone not painted is approximately 196.35 cm²
Step-by-step explanation:
The question relates to similar shapes;
We have;
The base diameter of the cone, D₁ = 20 cm
The slant height of the cone, l₁ = 25 cm
The height at which the circle is drawn, 10 cm above the base, we have; l₂ = 25 cm - 10 cm = 15 cm
Let 'x' represent the diameter of the circle formed by the drawn circle, we have;
By similar triangles, we get;
D₁/l₁ = x/l₂
x = l₂ × D₁/l₁
20/25 = x/15
x = (20/25) × 15 = 12
The curved surface area of the cone, A = π·r·l
The area of the curved surface of the entire cone, A₁ = π·r₁·l₁
r₁ = D₁/2
Therefore, we get, A₁ = π × 20/2 × 25 = 250·π
A₂ = π × 15/2 × 25 = 187.5·π
The area of the cone not painted, A = A₁ - A₂
∴ A = 250·π - 187.5·π = 62.5·π
The area of the cone not painted, A = 62.5·π ≈ 196.35
The area of the cone not painted ≈ 196.35 cm²