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
The length of a rectangular window is 4 more feet than its width w. The perimeter of the window is 64 feet. Write an equation that could be used to find the demensions of the window and determine the length and width of the window.
Answer:
The length of the window is 18 ft and its height is 14 ft
Step-by-step explanation:
System of Equations
Let's call:
L: Length of the window in feet
W: Width of the window in feet
According to the first condition of the problem:
[tex]L = W + 4\qquad\qquad [1][/tex]
The perimeter of the rectangle is 64 feet. The perimeter is calculated as:
P = 2L + 2W =64
Dividing by 2:
[tex]L + W = 32\qquad\qquad [2][/tex]
The system of equations [1] and [2] can be used to find the dimension of the window.
Substituting from [1]
W + 4 + W = 32
Simplifying:
2W = 32 - 4 =28
Solving:
W = 28/2 = 14
Using [1]:
L = 14 + 4 = 18
The length of the window is 18 ft and its height is 14 ft
Micah found the vertex for the function y= -9.5x? 47.5x+ 63 as shown. Find and correct Micah's error. Explain the error?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.
However, I'll solve for the vertex of the given function.
Given
[tex]y = -9.5x^2 + 47.5x + 63[/tex]
Vertex, V is of the form:
[tex]V= (h,k)[/tex]
Where
[tex]h = -\frac{b}{2a}[/tex]
and
[tex]k = f(h)[/tex]
Solving for h:
[tex]y = -9.5x^2 + 47.5x + 63[/tex]
[tex]y = ax^2 + bx + c[/tex]
So:
[tex]a = -9.5[/tex]
[tex]b = 47.5[/tex]
[tex]c = 63[/tex]
[tex]h = -\frac{b}{2a}[/tex]
[tex]h = -\frac{47.5}{2 * -9.5}[/tex]
[tex]h = -\frac{47.5}{-19}[/tex]
[tex]h = \frac{47.5}{19}[/tex]
[tex]h = 2.5[/tex]
Solving for k
[tex]k = f(h)[/tex]
[tex]k = f(2.5)[/tex]
Substitute 2.5 for x in [tex]y = -9.5x^2 + 47.5x + 63[/tex]
[tex]k = -9.5 * 2.5^2 + 47.5* 2.5 + 63[/tex]
[tex]k = -59.375+ 118.75 + 63[/tex]
[tex]k = 122.375[/tex]
Hence:
The vertex is
[tex]V = (2.5,122.375)[/tex]
Answer:
if ur doing savvas
Step-by-step explanation:
answer for the first one is:
Micah used the wrong sign for b in the formula x=-b/2a
answer for the second one is:
vertex is = (-2.5, 122.375)
A.up
B.down
C.to the left
D.to the right
Answer:
A
Step-by-step explanation:
What are the first four terms of the sequence shown below?
an = n3 + n2
Answer:
2, 12, 36, 80
Step-by-step explanation:
Substitute n = 1, 2, 3, 4 into the n th term formula, that is
a₁ = 1³ + 1² = 1 + 1 = 2
a₂ = 2³ + 2² = 8 + 4 = 12
a₃ = 3³ + 3² = 27 + 9 = 36
a₄ = 4³ + 4² = 64 + 16 = 80
the graph of a linear function is given below. what is the zero of this function ?
Answer:
I'm pretty sure it B -3/2 because u start at -2(x) and go down 3 and right 2 and end at -2(y)
Step-by-step explanation:
Im sorry if u get it wrong plz tell me the right answer.
Answer:
The answer is -2
Step-by-step explanation:
Plato
BRIANLY PLS HELP ME OUT ASP !
Answer:
42
Step-by-step explanation:
3 is equal to 42 degrees because when you have two parallel lines that have another line pass through both parallel lines the values of degrees are the same as the opposite side so:
42 = 3
2 = 4
and another way you could find the value of 3 is since there is a perpendicular line going through line p we know that since it is perpendicular that the angle between them is 90 so angle 3 is:
90 - (angle 4) = angle 3
You may use this method if you first solved for angle 4 or angle 2 and we can get angle 2 from:
180 - 42 = 138
we can do this because 42 + angle two should be 180 degrees since they are along line n.
PLZ HELLP ME
:/ will receive 50 for help plus 20 for bouns If the answer is right
−2=6/7p
✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽
➷ [tex]\boxed{p = \frac{-7}{3} }[/tex]
[tex]-2 = \frac{6}{7}p[/tex]
✽ Flip the equation.
[tex]\frac{6}{7} p = -2[/tex]
✽ Multiply both sides by 7/6.
[tex](\frac{7}{6} ) * (\frac{6}{7}p) = (\frac{7}{6} ) * (-2)[/tex]
[tex]p = \frac{-7}{3}[/tex]
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
( I REALLY NEED HELP I WILL GIVE BRILLIANT) If you divide 78 by 34, will the quotient be greater than or less than 34?
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
WILL MARK BRAINLIEST NEED HELP WITH PROPORTIONS
Answer:
x=-10
Step-by-step explanation:
Of the 50 states, 11 share a border with Canada. What is the ratio of states that border Canada to states that do not border Canada?
Answer:
50 - 11 = 39
39 states do not border Canada
11 to 39
y=2x-8
13x + 2y = 18
solving systems by the elimination method
Answer:
x = 2
Step-by-step explanation:
13x + 2( 2x - 8) =18
13x + 4x -16 = 18
13x + 4x = 34
17x = 34
x = 2
Express two and forty five hundredths as a decima
Answer:
2.45
Step-by-step explanation:
"Two and forty five hundredths"
"Two" will be the number '2'.
"and" will indicate the decimal.
"forty five hundredths" is '.45'.
Two and forty five hundredths as a decimal would be '2.45'.
Hope this helps.
Answer:
2.45
Step-by-step explanation:
2/1 + 45/100 = 2 + 0.45 = 2.45
or
2.00
+ 0.45
-----------
2.45
or
200/100+45/100=245/100=2.45
ASAP PLEASE ILL GIVE BRAINIEST
Answer:
third choice
Step-by-step explanation:
Congruent means being exactly the same. When two line segments have the same length, they are congruent. When two figures have the same shape and size, they are congruent. ... Similar means that the figures have the same shape, but not the same size.
Emory ran 3 miles in 30 minute. At this pace, how long will it take Emory to run 9 miles? Explain your method AND your reasoning.
Answer:
It will take him 1 hour and 30 minutes. (90 minutes)
Step-by-step explanation:
If he is running 1 mile in 10 minutes and he needs to run 9 miles the just multiply 9 by 10 to get 90 then simplify if you need to to get 1 hour and 30 minutes.
Hope this helped and have a great rest of your day.
The average cost of a home in a certain neighborhood ranges from $225,000 to $385,000. Write an absolute value inequality to model the average cost, C. of a home in this neighborhood.
Answer:
D. |C -305,000| ≤ 80,000
Step-by-step explanation:
Such an equation will say that the difference from the average of these values is at most half of their difference.
| C -(225000+385000)/2 | ≤ (385000 -225000)/2
|C -305,000| ≤ 80,000 . . . . . matches choice D
13 - 7(-2 - 8)
Please solve! :) Will be marking brainliest!!
Answer: 83
Step-by-step explanation: -7x-2=14 -7x-8=56, 56 + 14 + 13 = 83.
Hope this helps! :)
Please Mark Brainliest!!!
could anyone tell me the answer to this quickly???
You play a game where you score -6 points on the first turn and on each of the next 3 turns. Your score after those 4 turns is
Answer:
-24
Step-by-step explanation:
You start with -6 points, and get another -6 on the rest of the turns which is a total of 4 turns.
-6 x 4 is -24
Unless this question is missing some information, this should be correct I believe.
Hope this helps!
The score after 4 turns is -24.
Given that, you play a game where you score -6 points on the first turn and on each of the next 3 turns.
We need to find what is the score after 4 turns.
What are integers?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Now, the score after 4 turns = Score of the first turn + The next 3 turns
= -6 + 3(-6)
=-6-18
=-24
Therefore, the score after 4 turns is -24.
To learn more about integers visit:
brainly.com/question/15276410.
#SPJ2
3. What is the goal of education—especially when it comes to history and human rights? Cite evidence from this text, your own experience, and other literature, art, or history in your answer.
Answer:
The goal for human rights is to education aims to do the following: Enhance the knowledge and understanding of human rights. Foster attitudes of tolerance, respect, solidarity, and responsibility. Develop awareness of how human rights can be translated into social and political reality.
(Evidence) -------›
"The following year, he immigrated to the United States and settled in Kansas City, Mo., where he married, had four children and became a successful importer of ladies' handbags. It would be 16 years before he began speaking publicly about the Holocaust, something he says he decided to do after talking to one of his neighbors."
A $65 coat is on sale for 15% off,
what is the cost of the coat
after the sale?
Answer:
$55.25
Step-by-step explanation:
15% of $65: [tex]\frac{65}{1}[/tex] × [tex]\frac{15}{100} = \frac{975}{100}[/tex] $975/100 = $9.75$65 - $9.75 = $55.25I hope this helps!
$55.25 is the cost of the coat after the sale.
Step-by-step explanation:
Given:
Price of the coat = $65
Percentage of discount = 15%
To find:
The cost price of coat after the sale
Solution:
Cost price of coat = $65
Percentage of discount = 15%
The amount of discount will be 15% of the price of the coat.
Amount of discount :
[tex]=\frac{15}{100}\times \$65 \\=\$9.75[/tex]
The cost price of the coat:
[tex]=\$65-\$9.75=\$ 55.25[/tex]
$55.25 is the cost of the coat after the sale.
Learn more about cost price and discount here:
brainly.com/question/13278801?referrer=searchResults
brainly.com/question/2984088?referrer=searchResults
Please Answer.Dont show the work. Just please explain the work and how to get the answer.Water comes out of Leigh's garden hose at a rate of 1 gallon per of a minute. What is the unit rate at which water flows out of Leigh's garden hose?
A. of a gallon per 4 minutes
B. of a gallon per minute
C. 4 gallons per minute
D. 9 gallons per 4 minutes
Answer:
A
Step-by-step explanation:
I have the same question and got it write
help me i need it
!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
S, BB, J
Step-by-step explanation:
Because you are going greatest (positive) to least (negative)
Highest to lowest
What would you need to do to get a denominator of one in the following example?
Answer:
yoou have to find common numbers
Step-by-step explanation:
-2 is the _____________ of 2
Answer:
Opposite?
Step-by-step explanation:
You work 4 hours on Saturday and 7 hours on Sunday. You also receive a $35 bonus. If your paycheck was for $142.25, how much do you make an hour?
Answer:
9.75
Step-by-step explanation:
first we are going to subtract the bonus
142.25 -35 = 107.25
assuming that you are not takeing breaks you work a total of 11 hours (7+4)
so 11/107.25 = 9.75
so you would make 9.75 an hour before taxs
A = -3
B = -1/3
C = 1/3
D = 3
Answer:
D
Step-by-step explanation:
The slope m is a measure of the rate of change
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, - 1) ← 2 points on the line
m = [tex]\frac{-1+4}{1-0}[/tex] = [tex]\frac{3}{1}[/tex] = 3 → D
1 Graph a line that contains the point (4,3) and has a slope of 1/2
(numbers on graph go up to 7)
Answer:
the points: (8,5) (6,4) (4,3) (2,2) (0,1) (-2,0) (-4,-1) (-6,-2) (-8,-3)
Step-by-step explanation:
the point (4,3) should be dotted first, start from the (0,0) go right 4 spaces then up 3 spaces. the slope 1/2 means up 1 space then right two spaces to start plotting points on the graph. and to continue the bottom of the line it would be -1/-2 which is down 1 space then left 2 spaces.
find the common ratio and the 12th term of the geometric sequence 64, 16, 4, ...
Answer:
common ration = 1/4
12th term = 1/65536
Step-by-step explanation:
64
64*1/4 = 16
16 * 1/4 = 4
4* 1/4 = 1
1 * 1/4 = 1/4
1/4*1/4 = 1/16
1/16*1/4 = 1/64
etc
1/256
1/1024
1/4096
1/16384
12th term = 1/65536
Answer:
see explanation
Step-by-step explanation:
The common ratio r is calculated as
[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{16}{64}[/tex] = [tex]\frac{1}{4}[/tex]
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 64 and r = [tex]\frac{1}{4}[/tex] , thus
[tex]a_{12}[/tex] = 64 × [tex](\frac{1}{4}) ^{11}[/tex] = 64 × [tex]\frac{1}{4194304}[/tex] = [tex]\frac{64}{4194304}[/tex] = [tex]\frac{1}{65536}[/tex]
The value of investments in the stock market change daily. Suppose you buy a stock for $3,789. It increases in value by 6% and then decreases 7% and then increases again by 7%. What is the new value? (round your answer to the nearest cent)
Answer:
The final value of the stock is $3,996.66
Step-by-step explanation:
Percentage Change
The x% of a number N is calculated as x*N/100. If there is an increase, that number is added to the original value, then the new value is:
N'=N+x*N/100
Operating:
N'=N(1+x/100)
That formula makes it easier to find the new values of increasing quantities. When the percentage is for decreasing, then the formula becomes:
N'=N(1-x/100)
The original value of the stock is N1=3,789. The first change is an increase of 6%, then the new value is:
N2=3,789(1+6/100)=3,789*1.06=$4,016.34
The stock value now decreases by 7%:
N3=4,016.34(1-7/100)=4,016.34*0.93=$3,735.20
Finally, the value increases again by 7%:
N4=3,735.20(1+7/100)=3,735.20*1.07=$3,996.66
The final value of the stock is $3,996.66