Answer:
1) 9/10 + 4/5 + 5/6 = 2 8/15
2) 14/15 + 2/9 + 1/5 = 1 16/45
==============================================
Solution:
[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]
PLS HELP PLS AND TY
Tayla purchased a large box of comic books for $300. She gave 15 of the comic books to her brother and then sold the rest on an Internet website for $330, making a profit of $1.50 on each one. How many comic books were in the box
Answer:
Number of comic books is 75.
Original price of each comic book is 4$.
Step-by-step explanation:
There were 75 comics in the box originally.
What is an equation?An equation is the statement of equality between two expressions consisting of variables and/or numbers.
Given that, Tayla purchased a large box of comic books for $300. She gave 15 of the comic books to her brother and then sold the rest on an internet website for $330, making a profit of $1.50 on each one.
Let x be the number of comics originally
(x - 15) is the number of comics sold.
Original price of each comic = 300/x
Price of comics which she gave to brother = 15*300/x
Original price of all the books that has been sold = 300 - 15*300/x
Tayla's profit = 330 - (300 - 15*300/x) = 30 + 15*300/x
Number of comics sold = (30 + 15*300/x)/1.5
Equation will be,
(30 + 15*300/x)/1.5 = x - 15
20 + 3000/x = x - 15
(x² - 15x - 3000)/x = 20
x² - 35x - 3000 = 0
On factorizing the quadratic equation, we get,
x = 75 or -40 (Neglecting -40, because number of books can't be negative)
Hence, there were 75 comic books in the box originally.
For more references on Equations, click;
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whT is the largest interger less then or equal to 30?
Answer:
30
Step-by-step explanation:
since it can be equal to 30 that means the answer is 30
Answer:
30
Step-by-step explanation:
if the interger can be equal to 30, it can be 30
ill give brainlist again! :( help?
Answer:
3769.91 cm³
Step-by-step explanation:
For Small Cylinder:
Volume = height × π × r²
Volume = 12 cm × π × 10² cm
Volume = 3769.91 cm³
For Large Cylinder:
Since the larger cylinder is double the size of the small cylinder we have to double the height and radius.
Volume = (height × 2) × π × (r × 2)²
Volume = (12 × 2) × π × (10 × 2)²
Volume = 24 cm × π × 20²
Volume = 30159.29 cm³
Answer:
Below.
Step-by-step explanation:
The volume of the smallest cylinder
= πr^2h
= π*10^2*12
= 1200π cm*3.
Now as the radius and height of the large cylinder are 2 times the radius and height of the small one
Volume of the large cylinder = 2^3 = 8 times the volume of the small one
= 8* 1200π
= 9600π cm^3.
The Perimeter of a triangle is 24cm and the length of the three sides are in the ratio 3:4:5 Find the length of the three sides
Answer:
6 cm
8 cm
10 cm
Step-by-step explanation:
3:4:5
3 + 4 + 5 = 12
total 12 parts
24cm / 12 = 2cm per part
3 * 2 = 6 cm
4 * 2 = 8 cm
5 * 2 = 10 cm
The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8 in. of the actual side length.
Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches
Area of a square = s²
s = side length of the squareHence, we have ;
150 = s²
s = √150
s = 12.247
Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.
Learn more : https://brainly.com/question/25562438
What is the decimal multiplier to increase by 1.5 pls do the step by step explanation ineed help
Answer:
Just an explanation so you can understand
Step-by-step explanation:
To increase, or decrease a number N, by a percentage X% we multiply N by a percentage multiplier (often just called multiplier).
We can calculate any percentage increase, or decrease, in three steps:
Step 1: write X% in decimal form. Remember, this is done by moving the number X back two decimal places.
Example: 5%=0.05, 12%=0.12, ... .
Step 2: Calculate the percentage multiplier by adding, or subtracting, the decimal found in step 1 to, or from, 1
For percentage increases: add the decimal to 1.
For percentage decreases: subtract the decimal from 1.
Step 3: multiply the number N by the multiplier, found in Step 2.
What is the Slope of the line containing the points (3,4) and (5,6)? Please help
Answer:
1
Step-by-step explanation:
Y2-Y1/X2-X1 would become 4-6/3-5 which would become-2/-2 and that equals 1 because its a whole number and when you divide or add two negative numbers, it becomes a positive
What is the slope of the line through points J and L?
Answer:
Slope: 2/3
Step-by-step explanation:
Does this table represent a function or not? Why or why not?
Answer:
D. No, because two of the y-values are the same
Step-by-step explanation:
The y values cannot be the same
Answer:C
Step-by-step explanation:
jamie made 40 cupcake she frosted 1/2 of the cupcakes . of th frosted cupcake she put sprinkies on 1/5 of them , she ate 1/4 of the frosted cupcakes that had sprinkle
for what value of the variable will the expression 8b-27
-11
Answer:
b=2
Step-by-step explanation:
What are complex integers ?
Answer:
In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.
Step-by-step explanation:
Complex Integer
(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.
Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.
The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.
Answer:
An immediate consequence of the definition of arithmetical operations on complex numbers is that the sum, the difference, and the product of two or more complex numbers.
Step-by-step explanation:
Value of x.
2x
120
140
100
110
130
150
846
Step-by-step explanation:
CAN ANYONE SAY WHAT IS 1 + 1 PLZ FAST FAST PLZ
Answer:
1+1???????? 1+1=2. :/
peter and pam are both avid swimmers
Answer: that they are
Step-by-step explanation:
Graph a right triangle with the two points forming the hypothenuse, Using the sides, find the distance between the two points, to the nearest tenth if necessary (3. -7) and 8. -3)
Answer:
That distance is 6.4
Step-by-step explanation:
The legs of the triangle form a right angle. The bottom leg has length 8 - 3, or 5, and the vertical leg -3 - (-7), or 4. Applying the Pythagorean Theorem:
(vertical leg)^2 + (horizontal leg)^2 = (hypotenuse)^2, which here is
4^2 + 5^2 = (hypotenuse)^2
This works out to 16 + 25, or 41.
The distance between these two points is d = √41, or d = 6.4
The graph of a function f is shown below.
Find f (2)
Answer: f(2) is 3.
Step-by-step explanation:
f(2) just means "what is the vale of the function, f, when x = 2? Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3. So f(2) = 3.
======
[One could also determine the equation for the line. Provided below.]
The slope is -(1/2) and the y-intercept is 4:
y = -(1/2)x + 4
For x=2,
y = -(1/2)*(2) + 4
y = 3
y(2) = 3
is this 8th grade class too
Answer:
I think so..I'm not really sure though, u know?
solve pls brainliest
Answer:
Integers are 55, -21/7, -35/7 ,
Step-by-step explanation:
Integers are whole number and their opposites. ... -3, -2, -1, 0, 1, 2, 3, ...
Integer
55 Yes Reason
83.61 No Not a whole number
-21/3 = -7 Yes Reduces to a whole number
-35/7 = -5 Yes Reduces to a whole number
-1/8 No Not a whole number, it is a faction
Use mental math to find the missing number. Enter your answer in the box.42,000 ÷ = 600
Answer:
7 is the required answer.
Step-by-step explanation:
4200 ÷ 7 = 600
Giving Brainliest
How does the standard of living in North Africa compare to the rest of the world?
A Life expectancy and the standard of living are about average
B. Life expectancy and the standard of living are among the best in the world
C. Life expectancy and the standard of living are slightly lower than average
D. Life expectancy and the standard of living are among the worst in the world
Answer:
B is the answer I'm pretty sure
Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.
Answer:
(x + 11) ÷ 9 = 67
or
[tex]\frac{(x + 11)}{9}[/tex] = 67
Step-by-step explanation:
Let x be the number
which value is equivalent to 30 + 9 divided by (6 - 3) A) 13 B)30 C(32 D)33
Answer:
13
Step-by-step explanation:
30 plus 9 is 39
6 minus 3 is 3
39 divided by 3 is 13
Answer:
the answer is D 33
Step-by-step explanation:
what is the answer help
Answer:
$29.88
Step-by-step explanation:
$12.45 / 5
$2.95 each pound
2.95 * 12
29.88
Find the value of 9+ y when y=13.
Answer:
22
Step-by-step explanation:
When y is 13 ,
9 + y
9 + 13 = 22
I do this do y'all can get extra point and complete challenges!
What is 1 + 1
(hey, it's 100 points, you can do it)
Answer:
1 + 1 is 2
Step-by-step explanation:
very hard question
Answer:
Step-by-step explanation:
1+1= 2
Step 4: Plot the y-intercept.
what is 5x5? please help
Answer:
25
Step-by-step explanation:
That's a simple question.
Step-by-step explanation:
Just do it like 5 plus 5 (five times)
5+5+5+5+5=25
Estimate 98.46 multiply 4.11
400
350
450
200
Answer:
400
Step-by-step explanation:
98.46 = 100
8 is closer to 10 than 0
4.11 = 4
1 is closer to 0 than 10
100 x 4 = 400