Multiplication:-
a. 7/3 × 2/9 = 7x2/3x9 = 14/27.
b. 3/7 × 5/11 = 3×5/7×11 = 15/77.
c. 15/8 × 6/25 = 3×3/4×5 = 9/20.
d. 21/20 × 15/14 = 3×3/4×2 = 9/8.
Division:
a. 3/4 ÷ 5/7 = 3/4 x 7/5 = 21/12 = (3 x 7) / (3 x 4) = 7/4
b. 9/5 ÷ 6/11 = 9/5 x 11/6 = 99/30 = (3 x 33) / (3 x 10) = 33/10
c. 15/8 ÷ 6 = 15/8 x 1/6 = 15/48 = (3 x 15) / (3 x 16) = 15/16
d. 8/7 ÷ 12 = 8/7 x 1/12 = 8/84 = (4 x 2) / (4 x 21) = 2/21.
Culcul constant des fractions:
a. 3/7 + 15/7 x 3/2
= 3/7 + 45/14
= (3 x 2) / (7 x 2) + 45/14
= 6/14 + 45/14
= 51/14
b. 9/5 x (1/4 - 5/12)
= 9/5 x [(1 x 3) / (4 x 3) - 5/12]
= 9/5 x (3/12 - 5/12)
= 9/5 - 2/12
= (9 x 12) / (5 x 12) - (2 x 5) / (12 x 5)
= 108/60 - 10/60
= 98/60
= (2x 49) / (2 x 30)
= 49/30.
c. (3/8 + 7/5) ÷ (9/4 - 5/3)
= [(3 x 5) / (8 x 5) + (7 x 8) / (5 x 8)] ÷ [(9 x 3) / (4 x 3) - (5 x 4) / (3 x 4)]
= (15/40 + 56/40) ÷ (24/12 - 20/12)
= 71/40 ÷ 4/12
= 71/40 x 12/4
= 852/160
= (4 x 213) / (4 x 40)
= 213/40.
Hope this helps..
re upload plz help!!!!!
Answer:
1) A) 64 tickets
B) $11
2) A) 20 rides
Step-by-step explanation:
1) a) set y to 37 because they made 37 dollars
37 = 0.50x + 5
32 = 0.50x.........subtract 5 from both sides
64 = x..................divide both sides by 0.50 to get x by itself
b) set x to 12 because x is the amount of ride tickets they bought
y = 0.50(12)+ 5
y = 6 + 5............multiply 12 by 0.50
y=11......................add
2) a) set both equations equal to each other to see when they will be equal
0.50x + 5 = 0.75x
0.50x = 0.75x - 5..........subtract 5 from both sides
0.50x - 0.75x = - 5........subtract 0.75x from both sides
-0.25x = - 5......................combine like terms
x=20...................................divide both sides by -0.25 to isolate x
I need a little help with trigonometric ratios. What is the ratio to find x? Please provide an explanation to get brainliest.
Answer:
tan 72 = 6/x
OR
cos 72 = x/15
Step-by-step explanation:
A good way to remember trig ratios is this
SOH CAH TOA -
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
You can find x in a few different ways.
If you did tangent, it would be
tan 72 = 6/x (because tangent is opposite over adjacent)
Or, there's also the pythagorean theorem...
The elevation of city A is 72 feet above sea level; the elevation of city C is 24 feet above sea level. The elevation of city D is 1/4
of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D.
Part B: Simplify the expression and explain why the answer is negative or positive.
Answer:
6 ft.
Step-by-step explanation:
If city c is 24 ft above sea level and city d is 1/4 of the elevation all you do is find 1/4 of 24 so the expression would be 1/4 x 24
im not really good at simplifying expressions but it would probably stay the same so the answer would be positive.
hope this helps :)
Answer:
A. 1/4×24 ft
B. 6 ft, the product has no negative factors that would make it negative.
Step-by-step explanation:
A.1/4 of the elevation of city C can be written as ...
(1/4)(24 ft)
__
B.When the expression is simplified, it becomes ...
6 ft
The product of two positive numbers is positive.
5y - 31
Р
6x - 2y
2y + 5
4x + 4
T
R
S
7x - 17
you take each other you do multiplication and you have answer
A humpback whale can eat 4.4 x 10^3 plankton a day during feeding season. If the feeding season lasts 120 days, find the total number of plankton a humpback would eat by the end of feeding season. Write your answer in scientific notation
Answer:
An average-sized blue whale will eat 2,000-9,000 pounds (900-4100 kg) of plankton each day during the summer feeding season in cold, arctic waters ( about 120 days).
Step-by-step explanation:
4. A publisher wants to figure out how thick their new book will be. The book has a front
cover and a back cover, each of which have a thickness of of an inch. They have a
a
choice of which type of paper to print the book on.
a. Bond paper has a thickness of inch per one hundred pages. Write an equation for
the width of the book, y, if it has x hundred pages, printed on bond paper.
b. Ledger paper has a thickness of į inch per one hundred pages. Write an equation
for the width of the book, y, if it has x hundred pages, printed on ledger paper.
C. If they instead chose front and back covers of thickness of an inch, how would
this change the equations in the previous two parts?
Answer:
1in x 2 + 1 in =3in
2 times 1 is 2 + 1 equals 3
Find the slope of each line.
Answer:
Step-by-step explanation:
There are 4 conditions that have to be met before you can declare what the slope is.
1. y has to be on one side of the equation.
2. y must have a coefficient of +1
3. the other side contains the x value. It can have any number as the slope which is in front of x.
4. The value of the number by itself which is not connected to x or y can also be any value including the irrational numbers.
Examples
y = 5x + 4
slope = 5
y intercept = 4
y = πx + sqrt(5)
slope = pi
y intercept = sqrt(5)
Answer to your question
slope = 7/5
y intercept = 5
(Hurry) guys pls help me, i don’t understand what my teacher taught me
Answer:
Step-by-step explanation:
me too i dont know
Answer:
8 cm≈ 117.6 cm³Step-by-step explanation:
Total surface area:
A = 4(1/2*7*l) + 7² = 14l + 49, where l is a slant heightWe are given:
A = 161 cm²Find the value of l:
14l + 49 = 16114l = 112l = 112/14l = 8 cmUse Pythagorean to find the height h of the pyramid:
l² = h² + (7/2)²8² = h² + 3.5²h² = 8² - 3.5²h² = 51.75h = √51.75h ≈ 7.2 cmFind the volume:
V = 1/3BhV = 1/3*7²*7.2V = 117.6 cm³What is the area of this tile? in. in? 4 in. I in.
Answer:
1*4 = 4 in^2
Step-by-step explanation:
The area for this shape is calculated by multiplying width and length:
1*4 = 4 in^2
0 4
2 10
4 16
6 22
what is the slope?
what is the y-intercept?
proportional or not proportional?
I think is non proportion
8.If one sheet of paper is 2/5 cm thick, how thick is a packet containing 180 sheets of paper ?
Review the graph. On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4). Everything inside of the first parabola and above the second parabola within the first parabola is shaded. Which system of inequalities has the solution set shown in the graph?
Answer:
The value of h is h = -1.5
Step-by-step explanation:
The quadratic equation is represented by a parabola, the vertex form of the equation is y = a(x - h)² + k, where
(h , k) are the coordinates of its vertex point
a is the coefficient of x²
∵ The graph is a parabola opens up
∵ It has a vertex at (-1.5, 0)
∵ The vertex of the parabola is (h , k)
∴ h = -1.5 and k = 0
∵ The graph shows f(x) = (x - h)²
∵ The coordinates of the vertex are (h , k)
∵ h = -1.5 and k = 0
∴ h = -1.5
The value of h is h = -1.5
The value of h is h = -1.5
We have given that,
On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4).
The quadratic equation is represented by a parabola,
What is the vertex form of the parabola?The vertex form of the equation is y = a(x - h)² + k, where
(h, k) are the coordinates of its vertex point
a is the coefficient of x²
∵ The graph is a parabola that opens up
∵ It has a vertex at (-1.5, 0)
∵ The vertex of the parabola is (h , k)
∴ h = -1.5 and k = 0
∵ The graph shows f(x) = (x - h)²
∵ The coordinates of the vertex are (h, k)
∵ h = -1.5 and k = 0
∴ h = -1.5
The value of h is h = -1.5.
To learn more about the vertex form of parabola visit:
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I hate maths pleas help
Answer:
These should be the answers you are looking for.
A: 62
B: 8.9
C: 2.8
This should be correct, but please tell me if it isnt.
Explanation:
The simplest way to figure this out is by counting how many marks there are on the number line. If the numbers are betweeen 1 and 2 on a number line for example, youll want to use decimals.
Example of a problem:
I--I--I--I--I--I--I--I--I--I--I
1 ^ 2
Count the markings like this: 1.1, 1.2, 1.3, 1.4, 1.5 .
the furthest you can go with a decimal until you get a full number is 0.9.
If you are solving a question with full numbers (example: 20 through 30), you would count normally.
I--I--I--I--I--I--I--I--I--I--I
20 ^ 30
The answer would be 25 for this one.
I hope this helps you out in the future.
Math definetly sucks, especially common core. I feel you.
what is the slope of the line // take my points !!!!
Answer:
Im not sure
Step-by-step explanation:
Im not sure what the exact slope is, but instead of being useless, and a waste of your time, here is how to find the slope.To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
During a day a student spends 7 hours sleeping ¼ of the day studying and 1/12 of the time travelling what fraction of the day is left for other things (in fraction)
Enrollment in mathematics courses
increased from 1440 students last
semester to 1925 students this semester.
Find the percent increase, to the nearest
whole percent
Answer:
25%
Step-by-step explanation:
1925 - 1440 = 485
X/100 = 485/1925 (what percent is 485 of 1925) (%/100=is/of)
(485 x 100) / 1925 (cross multiply)
48500/1925 = 25%
What is the slope of the line
Answer:
2/3
Step-by-step explanation:
rise over run is 2 over 3, and it is positive because the y increases as the x increases!
Clara writes the equation (x â€"" 13)(x 8) = 196 to solve for the missing side length of a rectangle represented by the factor x 8. What is the missing side length represented by x 8 units of the rectangle? 7 15 20 28.
Answer:
The Answer is 28. Please mark the brainliest! And thanks!
Step-by-step explanation:
Did with a teacher!
Name Performance Task Write and Solve Equations Account Mario received his most recent bank statement and is planning what to do with his finances. He wants to be responsible with his money and save as much as he can for the future. The table shows the current balance of his 3 bank accounts.
Checking Account: 7,456.43
Savings Account: 2,010.55
Money Market Account: 2,378.09
Write your answers on another piece of paper. Show all your work to receive full credit.
Part 4 Mario wants the total of the 3 accounts to be at a minimum of $13,000 after his next paycheck. His next paycheck will be worth $1,200. He thinks that he will reach this goal if he deposits his entire paycheck to his accounts. Is Mario correct? Use an equation to support your answer.
Answer:
13000
Step-by-step explanation:
P is the point of intersection of the lines with equations 5x — y = 1 and x + 2y = 9
Write down the coordinates of P.
Answer:
P = (1,4)
Step-by-step explanation:
First turn both equations to slope intercept form (y=mx+b).
5x - y = 1
Subtract 5x on both sides to get -y = -5x + 1, and since we want the y to be positive simply flip all the signs to get
y = 5x - 1.
x + 2y = 9
Subtract x on both sides to get 2y = -x + 9, then divide both sides by 2 to get
y = -1/2x + 9/2.
Now you can graph the two lines and see where they intercept each other. (I graphed them above for you⤴⤴⤴).
Hope this helps :)
notah decides to buy a new phone.He pays $ up front and then will pay the same amount each month for 8 months.The total cost of the phone is $600.How much will Notah pay each month?
Answer:
75 dollars a month
Step-by-step explanation:
To find The amount we need to divide 600 by 8 which gives us 75
Answer:
75
Step-by-step explanation:
600 divided by 75 = 8 so his rent fee will be 75 a month
Draw a triangle in which an angle, X, is equal to cos^{-1} (4/5)
Answer:
Work on a grid, like a piece of paper with squares already drown in it, else you need to be really accurate with 90 degrees angles. Draw an horizontal line, count 5 units (cm, inches, squares, whatever you have and draw a piece of a circle (red in my image) that intersect the 4 unit line (green). Join the point you found with the center of the circle to get the angle you want (blue line, the angle is the one marked. Joining ANY point in the first line with any point in the second line will give you the triangle you want. The orange lines are a few possibilities you have.
Is it a bad drawing? Yes. I used paint with a grid made with a spreadsheet, don't expect a masterpiece.
Lines m and n are parallel. Find the following angle pairs in the diagram. if you cant find any, write none.
Answer:
1. Alternate exterior: None
2. Corresponding angles: None
3. Same side exterior angles: <1 and <5
4. Alternate interior: <3 and <4
5. Same side interior: <2 and <4
Step-by-step explanation:
Determine the solution and the reasoning that justifies the solution to the systems of equations.
O (2,7), because this point is true for both equations
O (4, -6), because this point lies only on one of the two lines
(4, -6), because this point makes both equations true
O (2,7), because the lines intersect the x-axis at these points
Answer:
A or CStep-by-step explanation:
The system is not given to give exact answer.
Possible solution is:
A. (2,7), because this point is true for both equations
Yes, same point lies on both lines, it is their intersectionB. (4, -6), because this point lies only on one of the two lines
No, this is not a solution to both equationsC. (4, -6), because this point makes both equations true
Yes, same point lies on both lines, it is their intersectionD. (2,7), because the lines intersect the x-axis at these points
No, this is not confirming any solutionHow do I solve this question? The wording is confusing to me
Step-by-step explanation:
Use Pythagarus theorem
17^2=15^2 +x^2
289= 225 + x^2
64=x^2
x = 8 m
What is 5 1/4 + 5.8333333
Answer:
11.0833333
5 1/4
5.83
11.08
Answer:
11.08
Step-by-step explanation:
Because the 3’s are repeating we don’t need to put all of them
You jog 623 miles around a track each day. If you jogged that distance 4
times last week, how many miles did you jog? in a fraction
Answer:
6 2/3 miles times 4
Step-by-step explanation:
Convert the fraction 2/3 to a decimal
2/3 = .67
6.67 miles times 4 = 26.68 miles
or 6x4= 24
2/3+2/3+2/3+2/3 =8/3 or 2 2/3
2 2/3 +24 =26 2/3 miles
Hope this helps, have a nice day/night! :D
Raffle tickets are being sold for a fundraiser. The function a(n) relates the
amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount
of money raised.
a(n) = 3n - 30
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?
The money raised depends only on the number of tickets sold, the inverse equation is found by making the tickets sold the subject.
[tex] \underline {n =\frac{a(n) }{3} + 10}[/tex]
How can the inverse function be found?The given parameters are;
a(n) = The amount of money raised
n = The number of tickets sold
a(n) = 3•n - 30
Solution;
The equation that takes the amount of money raised and returns the number of tickets sold is found as follows;
a(n) = 3•n - 30
a(n) + 30 = 3•n
Therefore;
[tex]n = \frac{a(n) + 30}{3} = \frac{a(n) }{3} + 10[/tex]
The number of tickets sold,
[tex] \underline {n =\frac{a(n) }{3} + 10}[/tex]
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What is the equation, in standard form, of a parabola that models the values in the table?
PLS HELP!!!
right answer is b
b. y= -3.5x^2-0.5x+4.5
17081 + 8391
the answer. I need help plz
ᵇᵗʷ you get all mah points
Answer:25,472
Step-by-step explanation:
Answer:
the awnser od easy ots 25,472