Answer:
1.) 3/4
2.) 44/5 or 8 4/5
3.) 17/6 or 2 5/6
Step-by-step explanation:
1.) 5/16 ÷ 5/12
To divide a fraction by another fraction, reciprocate (put the numerator to denominator and vice versa) the divisor then change the sign to multiplication:
5/16 × 12/5
5 × 12 / 16 × 5
Cancel out 5 since both numerator and denominator has it:
12 / 16
Divide both by 4:
12 ÷ 4 / 16 ÷ 4
3/4
2.) 3 1/5 • 2 3/4
You have to convert the fractions first to improper fractions by multiplying the denominator to the whole number then adding the numerator to the product:
3 1/5 = 3×5 + 1 = 16/5
2 3/4 = 2 × 4 + 3 = 11/4
Now you can multiply the numerator to numerator then denominator to denominator:
Since 16 is a factor of 4, you can cancel it out, which leaves 4:
16 / 5 × 11/4
4 × 11 / 5 × 1
44/ 5
3.) 6 3/8 ÷ 2 1/4
Convert to improper fraction:
6 3/8 = 6× 8 + 3 = 51/8
2 1/4 = 4 × 2 + 1 = 9/4
(51 × 4)/ (9×8)
51 × 1/ 9× 2
51 / 18
Divide by 3:
17/6
A=1/2bh for h
Need help
Answer:
2A/b = h
Step-by-step explanation:
A=1/2bh
Multiply each side by 2
2A = 2 * 1/2 bh
2A = bh
Divide each side by b
2A/b = bh/b
2A/b = h
Which statement is not true
Sue used to have a square garage with 286 ft squared of floor space. He recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Answer:
New Length = 20.71 feet
Original Length = 16.91 feet
22.47%
Step-by-step explanation:
Original area of the square garage = 286 ft squared
Addition of 50% more space
New area of the garage = 286 + .50(286)
= 286 + 143
= 429 square feet
What was the length of one side of the garage originally?
Original area of the square garage = 286 ft squared
Area of a square = length^2
286 = length^2
Find the square root of both sides
√286 = √length^2
Original Length = 16.91 feet
What is the length of one side of the garage now?
New area of the garage = 429 square feet
Area of a square = length^2
429 = length^2
Find the square root of both sides
√429 = √length^2
New Length = 20.71 feet
What was the percent increase in the length of one side?
(New length - old length) / old length × 100
= (20.71 feet - 16.91 feet) / 16.91 feet × 100
= 3.8 feet / 16.91 feet × 100
= 0.2247 × 100
= 22.47%
You need to find two numbers where one number is 4 times as large as the other and where the difference is
the two numbers are 39. What are the numbers?
equation
Simplify the following expression: 7n (-3+ 6n) - 2n (3 + 7n)
Answer:
=28n2−27n
Step-by-step explanation:
I need help, you will get a lot of points.
Answer:
what it is
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through (6,-1) and (3,-7). Please help!
Answer:
y = 2x – 13
Step-by-step explanation:
Use Slope formula to get the slope
(y2-y1) / (x2-x1)
(-7--1) / (3-6)
(-6)/(-3)
2
Then plug-in the value of slope and any one coordinate in Point-Slope formula:
y- y1= m(x-x1)
y - -1 = 2( x - 6)
y + 1 = 2x - 12
y = 2x - 13
The equation of the line in the slope-intercept form will be y = 2x – 13.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = (-7-(-1)) / (3-6)
Slope = (-6)/(-3)
Slope = 2
Then plug in the value of slope and any one coordinate in the Point-Slope formula:
y- y₁= m(x-x₁)
y - (-1) = 2( x - 6)
y + 1 = 2x - 12
y = 2x - 13
Therefore, the equation of the line in the slope-intercept form will be y = 2x – 13.
To know more about an equation of the line follow
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Could anyone please help me with this for Calculus AB? I'm not entirely sure if the answer I put down is correct or not; I got some funky graphs for it though.
Hi there! :)
C. has both jump and infinite discontinuity.
Evaluate both piecewise functions at x = 1;
1 / (x + 1) = 1 / ((1) + 1) = 1/2
2x - 1 = 2(1) - 1 = 1
As the piecewise functions contain different y-values when evaluated at
x = 1, there is a jump discontinuity at x = 1.
However, the first function also contains a vertical asymptote or infinite discontinuity where it is undefined, or at x = -1. (1 / 0 = undefined). This means that the function also contains an infinite discontinuity.
Therefore, the correct choice is:
C. has both jump and infinite discontinuity.
Help! Have no clue how to do. Will give Brainly thing if someone helps
Answer:
h = 18( I might be wrong though)
Step-by-step explanation:
If BE and ED are perpendicular, that means this angle is supplementary.
BEF = 3h-12
FED = 2h - 23
BEF + FED = 90
3h-12 + 2h - 23 = 90
5h - 35 = 90
5h = 90
h = 18 degrees
Write 68,127,000,000,000,000 in scientific notation. (x10^
Answer:
6.8127 × 10^16
Step-by-step explanation:
Hope this helps:)
Answer:
6.8127 *10^16
Step-by-step explanation:
Scientific notation is a way to make these numbers easier to work with. In scientific notation, you move the decimal place until you have a number between 1 and 10. Then you add a power of ten that tells how many places you moved the decimal.
Which statement is true about milliliters and liters?
There are 30 milliliters in 3 liters.
There are 300 milliliters in 3 liters.
There are 3,000 milliliters in 3 liters.
There are 3,000 liters in 3 milliliters.
Answer: Choice C) There are 3000 milliliters in 3 liters
mL is the abbreviation for milliliters
L is the abbreviation for liters
Since 1000 mL = 1 L, we can multiply both sides by 3 to get 3000 mL = 3 L
At Feet-R-Us colored socks are $5 and white socks are $3. Jimmy buys $32 worth of socks. An equation representing this scenario is 5c + 3w = 32. Solve this equation for c, the cost of 1 pair of colored socks
c=4 w=4
5c=20
3w=12
5c+3w=32
Given the function f(x) = −2x2 + 3x + 10, find f(1) and f(3). Choose the statement that is true concerning these two values.
Answer:
The value of f(1) is greater than value of f(3)
Step-by-step explanation:
We substitute..x = 1..into the given equation....where we say...
; -2(1)^2 + 3(1) + 10 = 11
Then we substitute..x = 3..into the given equation
;-2(3)^2 + 3(3) + 10
;-2(9) + 9 + 10 = 1
If f(1) = 11 and f(3) = 1...then the value of f(1) is greater than the value of f(3)
Step-by-step explanation:
The given function is f(x) = -2x² + 3x + 10. We are asked to find f(1) and f(3).To find f(1), we substitute 1 in the place of x in the given function and evaluate it.
That is,f(1) = -2(1)² + 3(1) + 10= -2 + 3 + 10= 11To find f(3), we substitute 3 in the place of x in the given function and evaluate it.
That is,f(3) = -2(3)² + 3(3) + 10= -18 + 9 + 10= 1We see that f(1) is larger than f(3).
Hence, the correct answer is "The value of f(1) is larger than the value of f(3)."
How many solutions does the equation have? If there is only one, determine the value.
12
y
−
18
=
6
(
2
y
−
3
)
Answer:
0=0
Step-by-step explanation:
Infinite
The given equation can be rearranged to equate both side of the equation and thus we can get equivalent on both side as 6 (2y-3) = 6 (2y-3). Therefore, y can have any values from 0.
What are algebraic equations?Algebraic equations are expression used to represent the relation between two values by some letters or alphabets whose values are not specified in the equation.
In general, the letters x and y are used in the algebraic equations. They can linear or non-linear equation. By rearranging this equations we can determine the values of x and y.
Given the expression 12 y - 18 = 6 (2y - 3). From the left hand side, divide the part 12 y - 18 by 6. Thus we obtain the expression equivalent to the right hand side as 6 (2y - 3).
Therefore, 6 (2y - 3) = 6 (2y - 3). Which means both sides are equal and have equal value of y. means y can have any values from zero since all the terms including y is zero both side.
Thus, giving any value to y will always remains the same equation.
To find more about algebraic equations, refer the link below:
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solve for X , thanks
[tex]x = 5 \sqrt{2} [/tex]
it does let me to out the +/- in front of the five but it have to be there so you put it ... because it can be both positive or negativw
In the diagram below, DE is parallel to Y. What is the value of x
To rent a Bird scooter you must pay $1 to start and then $0.50 for every 15 minutes you ride. Is the cost proportional to the amount of time you ride?
Step-by-step explanation:
if you rent a scooter for 15 minutes you pay $1.50 ($1 to start and $0.50 rental) and if you rent it for 30 minutes then you pay $2.00 ($1 to start and $1 rental). This is NOT proportional because $1.50/15-mins and $2.00/30-min are NOT equivalent ratios
-k/5 = 7/5 can someone help with this?
Answer:
k = -7
Step-by-step explanation:
Step 1: Write equation
-k/5 = 7/5
Step 2: Solve for k
Cross multiply: -5k = 35Divide both sides by -5: k = -7Step 3: Check
Plug in k to verify it's a solution.
-(-7)/5 = 7/5
7/5 = 7/5
if it is a tree then it has leaves which of the diagrams below represents the statement
Answer: B
Step-by-step explanation:
Someone please help me
Answer:
Yes what is the question I would surely love to help u
Step-by-step explanation:
What is 8785000000 in Scientific notation
Answer:
8.785 × [tex]10^{9}[/tex]
I hope this helps!
simplify the expression
–4(5x)
Answer:
-20x
Step-by-step explanation:
the number outside of the parenthasis must be distributed to all numbers with in them.
ex:
-3(2x + 5) = -6x -15
simplify the expression
4t + 10t
Answer:
Add 4t and 10t
14t
Step-by-step explanation:
When you have the same variable you simply can add them together.
Hope this helps :)
Which one is correct?
Answer:
A
Step-by-step explanation:
Please help me vote you brainiest
Answer:
Wise
Step-by-step explanation:
In this case Gramps is being known as wise as many people go to him to learn new information about life or something else.
The other options also don't make sense in this case
Hope this helps! :)
A bottle of water is 2/3 full. You drink 1/2 of the water. Use a model to find the portion of water that you drink.
Answer:
you drank 1/3 of the bottle
Step-by-step explanation:
split the 2/3 in half
1. Solve 3x^2+7=31 using square roots.
2. Solve x^2-12x=45 by factoring
3. Find the zeros of f(x)=6x^2+9x-6
Answer:
holaaaaaaaa q tallllll
Ella wants to buy forks and spoons for her new house. Forks cost 1$ each and spoons cost 4$ each. She spent 50$ and bought 20 items in total. Which equations represent this word problem?
Answer:
50 = 1(x) + 4(y)
Step-by-step explanation:
I'm not too sure about this answer, its more of a guess but I hope this helped :)!
X = amount of forks bought
y = amount of spoons bought
what is the domain and range of this graph ?
Answer:
Domain: [-3, 2]
Range: [-3, 3]
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
Range is the set of y-values that are outputted by function f(x).
We see that our x-values span from -3 to 2. Since they are both closed dots, they are included in the domain:
[-3, 2] or -3 ≤ x ≤ 2
We see that our y-values span form -3 to 3. Since they are both closed dots, they are included in the range:
[-3, 3] or -3 ≤ x ≤ 3
Right triangle ABC is shown below.
A similar right triangle would be created by a run of 4 and a rise of
The answer is 12
Step-by-step explanat
Answer:
12
Step-by-step explanation:
