Answers
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
let us first start with some basic information ~
A fraction can be represented as [tex]\frac{x}{y}\\[/tex] where ,
x is the numerator and y is the denominator !
the question asks us to do something that will help us get same denominator for both the terms !
so let's see what we should do in such a case ~
[tex] \frac{9}{10} \: and \: \frac{7}{8} \\ \\ \\ lets \: make \: the \: denominator \: of \: both \\ the \: terms \: reach \: 80 \: , \\ \\ \bold\orange{ \implies \: \frac{9}{10} \times \frac{8}{8} = }\bold\red{ \frac{72}{80}} \\ \\\bold\orange{ \implies \: \frac{7}{8} \times \frac{10}{10} =}\bold\red{ \frac{70}{80}} [/tex]
and we're done !
let's add some more info to be lil more clear ~
while converting the denominator of both the terms , we must multiply the same number ( this number refers to the one we'll have to multiply to the denominator to obtain the desired result ) with the denominator as well as with the numerator !
hope helpful :D
Answer:
Step-by-step explanation:
you have to multiply first fraction with '8' and second fraction with '10' :
the fractions will become 72/80 and 70/80 then you can compare it
Related Questions
How do you solve this???[tex]\frac{3}{2}r = -1[/tex]
Answers
Answer:
[tex]\boxed{\sf{r=-\dfrac{2}{3} }}[/tex]Step-by-step explanation:
Isolate the term of r, from one side of the equation.
3/2r=-1First, multiply by 2 from both sides.
2*3/2r=2(-1)
Solve.
3r=-2
Then, you divide by 3 from both sides.
3r/3=-2/3
Solve.
Divide the numbers from left to right.
r=-2/3
-2/3=-0.66
[tex]\Longrightarrow: \boxed{\sf{r=-\dfrac{2}{3}}}[/tex]
Therefore, the correct answer is r=-2/3.I hope this helps! Let me know if you have any questions.
Answer:
[tex]{ \qquad{ {{ \tt{ - \frac{2}{3} }}}}} \\ \\[/tex]
Given equation,
[tex] \\ { \longrightarrow \qquad{ {{ \tt{ \frac{3}{2} \: r = -1 }}}}} \\ \\[/tex]
Multiplying both sides by [tex] \sf \dfrac{1}{3}[/tex] we get :
[tex] \\ { \longrightarrow \qquad{ {{ \tt{ \frac{1}{3} \times \frac{3}{2}r = \frac{1}{3} \times -1 }}}}} \\ \\[/tex]
[tex] { \longrightarrow \qquad{ {{ \tt{ \frac{1}{ \cancel3} \times \frac{ \cancel3}{2}r = - \frac{ 1}{ 3} }}}}} \\ \\[/tex]
[tex] { \longrightarrow \qquad{ {{ \tt{ \frac{1}{2}r = - \frac{1}{3} }}}}} \\ \\[/tex]
Now, Multiplying both sides by 2 we get :
[tex] \\ { \longrightarrow \qquad{ {{ \tt{ 2 \times \frac{1}{2}r = 2 \times - \frac{1}{3} }}}}} \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ \tt{ \cancel2 \times \frac{1}{ \cancel2}r = - \frac{2}{3} }}}}} \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ \tt{ {1}r = - \frac{2}{3} }}}}} \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \frak {{ \pmb{ r = - \frac{2}{3} }}}}} \\ \\[/tex]
In an amphitheater, there are 20 seats in the front row, 23 seats in the second row, 26 seats in the third row, and so on, in an arithmetic sequenc A) Write an explicit formula to find an. The number of seats in the nº row.
B) The last row in the amphitheater has 83 seats in it. How many rows a seats are there?
C) Write an expression using sigma notation that represents the total number of seats in the amphitheater.
D) Evaluate this expression. How many total seats are there?
Answers
For the given arithmetic sequence we have:
A) [tex]A_n = 20 + (n - 1)*3[/tex]B) 22 rows.C) [tex]\sum_{n = 1\ to\ 22} (20 + (n - 1)*3)[/tex]D) There are 1,133 seats in total.How to write the formula for the sequence?
We know that we have 20 seats on the front row, and then we add 3 more on each row, so the formula will be:
[tex]A_n = 20 + (n - 1)*3[/tex]
This gives the number of seats on the n-th row.
B) The last row has 83 seats, then we need to solve:
[tex]A_n = 20 + (n - 1)*3 = 83\\\\(n - 1)*3 = 83 - 20 = 63\\\\n - 1 = 63/3 = 21\\\\n = 21 + 1 = 22[/tex]
So we conclude that there are 22 rows.
C) The total number of seats will be:
[tex]\sum_{n = 1\ to\ 22} (20 + (n - 1)*3)[/tex]
D) Instead of using the sum above (we should add 22 terms) we use the general formula for the sum of N terms in an arithmetic sequence:
[tex]S_N = (N/2)*(2A_1 + (N - 1)*d)[/tex]
In this case, we replace N by 22, and d is the common difference of the sequence, which we know is equal to 3, so we wil have:
[tex]S_{22} = (22/2)*(2*20+ (22 - 1)*3) = 11*(40 + 21*3) = 1,133[/tex]
There are 1,133 seats in total.
If you want to learn more about sequences, you can read:
https://brainly.com/question/7882626
Can someone help me find the value of y and how to my got it
Answers
Explanation:
The tickmarks tell us that sides HG and FG are the same length. The triangle is isosceles. Directly from this, we know that the opposite angles F and H are congruent. Both are 4y-7 degrees.
Angle G is 90 degrees because of Thales' Theorem. This is because HF is the diameter of the circle. It's also the hypotenuse of the right triangle.
For any triangle, the three interior angles always add to 180 degrees.
F+G+H = 180
(4y-7) + (90) + (4y-7) = 180
8y + 76 = 180
8y = 180-76
8y = 104
y = 104/8
y = 13
Find the value of x.
Answers
Step-by-step explanation:
9x+5x+71+139+92=540
14x+302=540
14x=540-302=238
x=238/14
x=17
Choose all the common denominators for 1/9 and 1/2
Answers
Answer:
Common denominators of 9 and 2 are 18,36
Step-by-step explanation:
what are ordered pairs
Answers
Answer:a pair of elements a, b having the property that (a, b) = (u, v) if and only if a = u, b = v.
Please help me solve this with steps
Answers
Answer:
x = 1.5 or 3/2
Step-by-step explanation:
First, expand the equation.
(2x - 3)² = 0
(2x - 3)(2x - 3) = 0
In similar equations, we would solve for both pairs of parenthesis. However, since the equations inside both are the same, we only need to solve for ONE of them, bringing one correct answer.
2x - 3 = 0
Add 3 to both sides.
2x = 3
Divide both sides by 2.
x = 3/2 or 1.5.
Step-by-step explanation:
Mark me brainliest please i really need itAbel ran more than 8 miles this week. which set of steps shows how to write an inequality that represents the number of miles abel ran? identify the variable as the number of miles. identify the inequality symbol as less than. identify the constant as 8 miles. write the inequality as m less-than 8. identify the variable as the number of miles. identify the inequality symbol as less than. identify the constant as negative 8 miles. write the inequality as m less-than negative 8. identify the variable as the number of miles. identify the inequality symbol as greater than. identify the constant as negative 8 miles. write the inequality as m greater-than negative 8. identify the variable as the number of miles, m. identify the inequality symbol as greater than. identify the constant as 8 miles. write the inequality as m greater-than 8.
Answers
The inequality that represents the scenario is x > 8
How to determine the inequality?From the question, we understand that:
Abel ran more than 8 miles this week
Let the number of miles be x.
The text "more than" means that we make use of the greater than inequality symbol
So, the inequality that determines the steps is:
x > 8
Read more about inequality at:
https://brainly.com/question/11234618
Answer:
m
Step-by-step explanation:
FREE BRAINLIEST IF CORRECT: Write the following without the absolute value sign: |a^2| if a>0
Answers
Answer:
Step-by-step explanation:
When you square a number, whether it's positive or negative, the square is always positive. That is, a2 is positive whether a is positive or negative. Examples:
12 = 1 x 1 = 1
(-1)2 = (-1) x (-1) = 1
52 = 5 x 5 = 25
(-5)2 = (-5) x (-5) = 25
Since the answer is always positive, you don't need the absolute value signs: |a2| = a2.
hope this helps can i get brainly pls
Directions: Simplify and write in standard form, letting f(x) = x2 + 2x + 1, g(x) = 3 - 2x,
h(x) = 2x2, and k(x) = x +4.
k(h(x))
Answers
Answer:
2x² + 4
Step-by-step explanation:
Check out the attached photo
i need this answerd ASAP ill give brainliest to whoever solves it first along with 3
40 points
Answers
Answer:
Below.
Step-by-step explanation:
Mean = (61+59+60+50+54+56+61+63)/8
= 464/8
= 58 degrees
Deviations:
61 - 58 = 3
59-58 = 1
60-58 = 2
50-58 = -8 = 8 (absolute value)
54-58= -4 = 4
56-58 = -2 = 2
61-58 = 3
63-58 = 6
MAD = (3+1+2+8+4+2+3+6) / 8
= 3.625
= 3.6 to the nearest tenth.
solve the triangle.round to the nearest degree.
Answers
Answer:
30°, 60°
Step-by-step explanation: AB:BC:CA=√3:1:2
A storage container measures 3 ft by 6 ft and is 5 ft high. What is the volume of this container in cubic yards?
Answers
Answer:
3 1/3 yd^3
Step-by-step explanation:
Volume of a rectangular prism: L*W*H
ft. = 1/3 yd.
3/3 = 1 yd.
6/3 = 2 yd.
5/3 = 1 2/3 yd.
1*2*1 2/3
=2* 1 2/3
=2 4/3
= 3 1/3 yd.^3
Convert 0.54. to a decimal In base 3
Answers
Answer:
what does a this mean? .54 is a decimal
What is the end behavior of the function f of x equals 3 times the cube root of x?
As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0
Answers
[tex]f(x) = 3 \sqrt[3]{x} [/tex]
[tex]lim f(x) = 3 \sqrt[3]{ - \infty } = - \infty \\ x = > - \infty [/tex]
[tex]limf(x) = 3 \sqrt[3]{ \infty } = \infty \\ x = > \infty [/tex]
Answer:
As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
Step-by-step explanation:
I got it right on the test.
Polynomial? If so, is the
polynomial a monomial, binomial, or trinomial?
5/3m^2n^2p
Answers
Answer:
yes it is a polynomial. it is a monomial
Drag each model to show whether it is less than, equal to, or greater than 1/2.
Answers
Answer:
2/3=More
1/4=less
7/8=more
2/6=less
2/4=equal
Step-by-step explanation:
Look at each model that shows each fraction and also look at the denominators and the numerators of each fraction.
#1
2/3=4/61/2=3/6Greater than 1/2
#2
1/41/2=2/4Less than 1/2
#3
7/81/2=4/8Greater than 1/2
#4
2/61/2=3/6Less than 1/2
#5
2/4=1/2Equal to 1/2
Line A is perpendicular to Line B. If the slope of Line A is 2/5, what is the slope of Line B?
Answers
A triangle has two sides of length 6 and 19. What is the largest possible whole-number length for the third side?
Answers
Answer: 18
Step-by-step explanation:
If 19 Is hypotenuse and 6 is one of the sides
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 17%. What is the probability that it will rain on at least four of the five days they are there? Round your answer to the nearest thousandth.
Answers
Answer: 30%
Explanation: Every day is 30%.
- Jackson
[tex]5 = \frac{x}{3} + 2[/tex]
step by step please.
Answers
Answer:
9
Step-by-step explanation:
Given equation:
[tex]5 = \dfrac{x}{3} + 2[/tex]
To determine the solution (x) of the equation, we need to isolate it. To do this, we can subtract 2 both sides of the equation.
[tex]\implies 5 - 2 = \dfrac{x}{3} + 2 - 2[/tex]
[tex]\implies 3 = \dfrac{x}{3}[/tex]
To further isolate "x", we can use cross multiplication.
[tex]\implies 3 \times 3 = x[/tex]
Finally, simplify the expression on the left-hand-side to obtain the value of x.
[tex]\implies \boxed{9 = x}[/tex]
what decimal part of $1 is 6 pennies
Answers
Which is part of the process in the formation of hail pellets? They are tossed up and down in clouds. They lose layers of ice and grow smaller. They grow to less than 5 mm in diameter. They form ice crystals directly from water vapor.
Answers
Answer:
A. They are tossed up and down in clouds
Step-by-step explanation:
The solution is, D. They grow heavy and fall to the ground., is part of the process in the formation of hail pellets.
What is hail pellets?Graupel is also called snow pellets or soft hail, as the graupel particles are particularly fragile and generally disintegrate when handled. Sleet are small ice particles that form from the freezing of liquid water drops, such as raindrops.
here we have,
Hail is a form of precipitation when droplets of water freeze together in the cold upper reaches of the thunderstorms.
Thee chunks of that range from 5 to 15 cm can be round and jagged. Hail fall on the ground in a solid form they are often associated with tornadoes and certain parts of the world receive more hail than other parts do.
These frozen droplets of water when fall from the clouds get uplifted by wind and that adds another layer to them. The freezing occurs below the zero degrees at an altitude of 11,000 feet.
Mostly found in North America Nebraska, colorado and Wyoming states. and African regions in winter and South America in summer.
Varies in diameter from peas shape to size of a softball.
To learn more on hail pellets click:
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The difference of two numbers is 9 if the larger number is one more than twice the smaller number find the larger number
Answers
Answer:
17
Step-by-step explanation:
let the two numbers be X and Y
let larger number = Y
from the first statement
Y - X = 9 equation (1)
from the second statement
Y = 1+ 2X equation (2)
substitute equation (2) into (1)
1+2X-X = 9
1+X= 9
X = 9-1 = 8
X= 8
put X = 8 into equation (2)
Y= 1+2X
Y= 1+2(8)
Y= 1+16 = 17
larger number = 17.
Find the area of the parallelogram below, after the
purple triangle-sized hole was removed.
Answers
Answer:
142.5
Step-by-step explanation:
Area of a triangle = 1/2*a*h
1/2*9*3 = 13.5
Area of a parallelogram = a*h
12*13 = 156
156-13.5 = 142.5
Please help! 23, 24, and 25
Answers
Answer:
please let's remove all the scamers on brainly, help me by not clicking on such scam links
percent discount
A $98.00 power inverter is on sale for $78.40
Answers
Answer: 20%
Step-by-step explanation:
98 - 78.40 = $19.6
Discount is 19.6/98 = 0.2
Percentage = 0.2 × 100/ 1
2. a) How many months is one
quarter of a year?
Answers
Answer:
3
Step-by-step explanation:
A quarter is equal to four and since 12 divided by 4 = 3, 3 months is a quarter of a year
Have a great day!
Eli and Samantha work at a dry cleaners ironing shirts. Eli can iron 20 shirts per hour, and Samantha can iron 35 shirts per hour. Samantha worked 2 more hours than Eli and they ironed 400 shirts between them. Write a system of equations that could be used to determine the number of hours Eli worked and the number of hours Samantha worked. Define the variables that you use to write the system.
Answers
Answer:
Step-by-step explanation:
I did this before. I'm 14 :D
E-
y=20x
Eli ironed 2 more hours and got 400 shirts.
S-
y=35x
Let x be the number of shirts ironed.
400/20x = 20.
20-2=18.
That means she ironed 360 shirts prior.
If both of them were at the same speed of 18 by (let x represent). Then Samantha ironed 630 shirts while Eli ironed 360 shirts, but ironed 2 more hours which got him to get 400 shirts.
Rationalise the equation :
[tex] \frac{y ^{2} }{ \sqrt{x^{2} + y {}^{2} } + x} [/tex]
Answers
Answer:
[tex]\sqrt{x^2+y^2}-x[/tex]
Step-by-step explanation:
[tex]\textsf{Mulitply by}\quad\dfrac{\sqrt{x^2+y^2}-x}{\sqrt{x^2+y^2}-x}:[/tex]
[tex]\implies \dfrac{y^2}{\sqrt{x^2+y^2}+x} \times \dfrac{\sqrt{x^2+y^2}-x}{\sqrt{x^2+y^2}-x}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{(\sqrt{x^2+y^2}+x)(\sqrt{x^2+y^2}-x)}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{(\sqrt{x^2+y^2})^2-x^2}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{x^2+y^2-x^2}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{y^2}[/tex]
[tex]\textsf{Cancel the common factor}\:y^2:[/tex]
[tex]\implies \sqrt{x^2+y^2}-x[/tex]
Rationalising the denominator of the given fraction means we need to multiply both the numerator and the denominator of the fraction by the conjugate of the expression in the denominator. For example:
[tex]\;\longrightarrow\dfrac{1}{a+b}[/tex]
Here the conjugate of denominator of the expression is a - b. So we need to multiply both the numerator and denominator with the fraction.
[tex]\;\longrightarrow \dfrac{1}{a+b} \times \dfrac{a-b}{a-b}[/tex]
Hence, this is what the rationalization means.
Elucidation:We have been given and equation and we have been asked to rationalise the equation.
The conjugate of the denominator of the given equation is √(x² + y²) - x. Therefore;
[tex]\implies \dfrac{y^2}{\sqrt{x^2+y^2}+x} \times \dfrac{\sqrt{x^2+y^2}-x}{\sqrt{x^2+y^2}-x}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{(\sqrt{x^2+y^2}+x)(\sqrt{x^2+y^2}-x)}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{(\sqrt{x^2+y^2})^2-x^2}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{x^2+y^2-x^2}[/tex]
[tex]\implies \dfrac{y^2(\sqrt{x^2+y^2}-x)}{y^2}[/tex]
[tex]\implies \boxed{\sqrt{x^2+y^2}}[/tex]
Hence, this is our required solution for this question.