Answer:
15/2= 7 1/2 =7.5
Step by step
Step 1 of 2: Add.
Add
5 and 2 over 165
2
16
+ 2 and 3 over 82
3
8
= 120 over 16
120
16
Step 1 of 2: Add, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
5 and 2 over 165
2
16
= ( 5 × 16 ) over 16
5 × 16
16
+ 2 over 16
2
16
= ( 80 + 2 ) over 16
80 + 2
16
= 82 over 16
82
16
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 3 over 82
3
8
= ( 2 × 8 ) over 8
2 × 8
8
+ 3 over 8
3
8
= ( 16 + 3 ) over 8
16 + 3
8
= 19 over 8
19
8
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
82 over 16
82
16
+ 19 over 8
19
8
= ( 82 × 1 ) over ( 16 × 1 )
82 × 1
16 × 1
+ ( 19 × 2 ) over ( 8 × 2 )
19 × 2
8 × 2
= 82 over 16
82
16
+ 38 over 16
38
16
16 is the least common multiple of denominators 16 and 8. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
82 over 16
82
16
+ 38 over 16
38
16
= ( 82 + 38 ) over 16
82 + 38
16
= 120 over 16
120
16
Step 1 of 2: Add.Hide
Step 2 of 2: Simplify.
Simplify
120 over 16
120
16
= 15 over 2
15
2
= 7 and 1 over 27
1
2
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
120 over 16
120
16
= ( 120 ÷ 8 ) over ( 16 ÷ 8 )
120 ÷ 8
16 ÷ 8
= 15 over 2
15
2
8 is the greatest common divisor of 120 and 16. Reduce by dividing both numerator and denominator by 8.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
15 over 2
15
2
= 7 and 1 over 27
1
2
15 ÷ 2 = 7 remainder 1
x²-x-(a+1)(a+2)
Find common multiple
Answer:
x2 - x - a2 - 3a - 2
Step-by-step explanation:
STEP 1
((x2) - x) - (a + 1) • (a + 2)
STEP 2
Final result :
x2 - x - a2 - 3a - 2
For each table, write the equation that represents the price per ticket.
Answer:
x=7.5y
Step-by-step explanation:
I took the test
find the value of x.
Answer:
for which one all ?
Step-by-step explanation:
because if so lemme know
Tia types 66 words in 3 minutes. She wants to know how many words she can type in 5 and 10 minutes if she keeps the same rate. How many words does Tia type in 1 minute? how many did she type in five minutes
Answer: 5 mins 110 words10 mins 220 words.
Step-by-step explanation: Tia types 66/3 = 22 words per minute.
Therefore in 5 mins she types 5*22 = 110 words and in 10 mins she types
22 * 10 = 220 words. Hope this helps! lol!
y=-3x+2
A line goes through the point (-3,1) and is perpendicular to the line above,
answer the following:
a. what is the equation of the line that goes through these points in Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?
Answer:
a. y= 1/3 x + 2
b. x= -6
c. y=2
Step-by-step explanation:
a. y= mx+ cthe points are (-3,1)
the gradient is 1/3 as it is perpendicular
therefore substituting:1= 1/3 (-3) +c
1= -1 +c
c= 1+1
=2
So, y= 1 x + 2
3
b.
x-intercept is when y=0
so substituting 0 in the equation
here: 0=1/3x + 2
1/3 x = -2
x = -6
c.
y-intercept is when x=0
y=1/3 (0) +2
y=2
The denominator of a fraction is four more than the numerator. If both numerator and denominator are decreased by one, the simplified result is 57. Find the original fraction. (Do NOT simplify.)
Use the quadratic formula to solve x2 – 3x - 2 = 0
Answer:
C
Step-by-step explanation:
C
Answer:
c
Step-by-step explanation:
c is the answer to this problem
A sphere has a radius of 4 inches. Determine the effects on the surface area and volume of a sphere when the radius is changed.
Answer:
Step-by-step explanation:
The surface area of a sphere is given by
A=4πr^2
The volume is
V = (4/3)πr^3
At r = 4":
A = 64π in^2
V = 85.3π in^3
At r = 5" (a 25% increase in r)
A = 100π in^2 (a 156.25% increase)
V = 167π in^3 ( a 195.8% increase)
We can show the ratio of these two measures by dividing the Volume by the Area:
V/A = ((4/3)πr^3/(4πr^2))
V/A = (1/3)r
For the 2 examples (4" and 5"), V/A is:
4": (85.3π in^3)/(64π in^2) = 1.33 [(1/3)r = 4/3 = 1.33]
5": (167π in^3)/(100π in^2) = 1.67 [(1/3)r = 5/3 = 1.67]
V/A = (1/3)r
Since Volume is a function of r^3 and Area is related to r^2, Volume will always increase faster, by a ratio of 1/3 r.
Please help with proportional relationships!!! (Photos)
(determine whether the quantities on each table represent a proportional relationship if yes, give the constant rate) pls explain!!
Answer:
yes, the question is proportional. if you multiply 9.50 by 2 you get 19 and so on and so forth. the constant rate is 9.50
What is an objective summary?
a bulleted list of all the important ideas and events in a text in an order that reveals the theme
a bulleted list of all the important ideas and events in a text in an order that reveals the theme
a shorter version of a text that helps readers decide whether they want to read the text
a shorter version of a text that helps readers decide whether they want to read the text
a version of a text that leaves out all the descriptive details in order to highlight the most important ideas
a version of a text that leaves out all the descriptive details in order to highlight the most important ideas
a shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion
a shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion
Answer:
A shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion
Step-by-step explanation:
Summaries are used to quickly explains what the text is about. They include key details that express important facts, not opinions.
Write the slope-intercept form of the equation
Answer:
y= [tex]\frac{1}{3}[/tex]x-1
Step-by-step explanation:
Slope intercept form= y=mx+b
m=slope
b=y-intercept
b=-1
m= [tex]\frac{1}{3}[/tex]
y= [tex]\frac{1}{3}[/tex]x-1
help I will give brainiest is you answer with a explanation
Answer:
35°
Step-by-step explanation:
As we know vertically opposite angles are equal . So ,
x + 90= 125
x = 125-90 = 35°
Answer:
35
Step-by-step explanation:
125 + 90(APC) + DPA + EPB + x = 360
215 + DPA + EPB + x = 360
DPA = 180 - 125 = 55
EPB = DPA
EPB = 55
X = 90(EPC) - EPB
X = 90 - 55
X = 35
OR easy way
DB is a straight line so angels on it add up to 180
EPB = 180 - 125
EPB = 55
X = 90(EPC) - EPB
X = 90 - 55
X = 35
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
Which statements are true of the line represented by the linear equation y= 1/3 x + 3
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
and y- intercept c = 3
What is the nth term rule of the quadratic sequence below?
8
,
16
,
26
,
38
,
52
,
68
,
86
,
.
.
.
The [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex] .
What is quadratic sequence ?Quadratic sequences are sequences that include [tex]nth[/tex] term. They can be identified by the fact that the differences between the terms are not equal, but the second differences between terms are equal.
Quadratic sequence [tex]=an^2+bn+c[/tex]
Here [tex]a,b,c[/tex] are constant and [tex]n[/tex] is the position of term.
First difference [tex]= 3a+b[/tex]
Second difference [tex]=2a[/tex]
We have,
Quadratic sequence [tex]8,16,26,38,52,68,86,....[/tex]
Quadratic sequence [tex]=an^2+bn+c[/tex]
so,
For [tex]n=1[/tex];
[tex]8=an^2+bn+c[/tex]
[tex]8=a+b+c[/tex] [tex]........(i)[/tex]
For [tex]n=2[/tex];
[tex]16=4a+2b+c[/tex] [tex]........(ii)[/tex]
For [tex]n=3[/tex];
[tex]26=9a+3b+c[/tex] [tex]........(iii)[/tex]
Now,
Subtract equation [tex](i)[/tex] from [tex](ii)[/tex]
we get,
[tex]8=3a+b[/tex] [tex]........(iv)[/tex]
Subtract equation [tex](ii)[/tex] from [tex](iii)[/tex] we get,
[tex]10=5a+b[/tex] [tex]........(v)[/tex]
Subtract equation [tex](iv)[/tex] from [tex](v)[/tex] we get,
[tex]2=2a[/tex] (This is second difference mentioned above)
[tex]a=1[/tex]
Putting [tex]a=1[/tex] in [tex](iv)[/tex]
⇒[tex]b=5[/tex]
Now putting values of [tex]a[/tex] and [tex]b[/tex] in equation [tex](i)[/tex]
[tex]8=1+5+c[/tex]
[tex]c=2[/tex]
Now, putting values of [tex]a[/tex] , [tex]b[/tex] and [tex]c[/tex] in,
Quadratic sequence [tex]=an^2+bn+c[/tex]
we get,
[tex]nth[/tex] term rule [tex]=n^2+5n+2[/tex]
Hence, we can say that the [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex].
To know more about quadratic sequence click here
https://brainly.com/question/22412845
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Please help!! I will mark brainliest with full detailed answer!!
Answer:
Step-by-step explanation:
26. -14
27. -4.732050808
Answer:
26. (-14)
27. −4.732050808
Step-by-step explanation:
26. [tex](\sqrt{2}+4)(\sqrt{2}-4)[/tex]
Multiplication can be transformed into difference of squares using the rule:
(a − b) (a + b) = a² - b²
[tex](\sqrt{2} ^{2} ) - 4^{2}[/tex]
The square of √2 is 2.
[tex]2 - 4^{2}[/tex]
Calculate 4 to the power of 2 and get 16.
2 - 16
Subtract 16 from 2 to get −14.
-1427. [tex](\sqrt{3} +2)(\sqrt{3} -3)[/tex]
Apply the distributive property by multiplying each term of √3 + 2 by each term of √3 - 3.
[tex]\sqrt{3} ^{2}-3\sqrt{3} +2\sqrt{3} -6[/tex]
The square of √3 is 3.
[tex]3-3\sqrt{3} +2\sqrt{3} -6[/tex]
Combine -3√3 and 2√3 to get -√3.
[tex]3-\sqrt{3} -6[/tex]
Subtract 6 from 3 to get −3.
-3 - √3
-3 - √3 ≈ −4.732050808HELP ASAP 10 POINTS WILL MARK IF CORRECT
Answer:
To get the slope, we can first mark out any 2 points of the line.
In this case, I will use the point (-2, 0) which will be (x1, y1) and (0, -2) which I will call (x2, y2).
To get the slope, you need to do [tex]\frac{y2-y1}{x2-x1}[/tex]
Substitute these values in:
[tex]\frac{-2-0}{0-(-2)} =\frac{-2}{2} =-1[/tex]
The slope is -1.
how do you solve this linear programming inequality equation?
1 > 3P + 10
Answer:
-3 > P
Step-by-step explanation:
1 > 3P + 10
Subtract 10 from each side
1-10 > 3P + 10-10
-9 > 3P
Divide each side by 3
-9/3 > 3P/3
-3 > P
Write an equation with the given information in slope- intercept form.
m=-1/2; y intercept (0,4)
Help pls ? I just need this one question :,)
Answer:
=3b^2x(2b-1)x(2b+1)
Step-by-step explanation:
in 3 to 10 round each number to the place of the underlined digit 16.5 number 6 is underlined
Answer:
the 6 is in the tenth spot
Step-by-step explanation:
Rafael has two coupons for a phone.
Coupon A:
Coupon B:
$8 rebate on a $57 phone
20% off of a $57 phone
Choose the coupor that gives the lower price.
Then fill in the blank with the correct value.
Coupon A gives the lower price.
The price with coupon A is $] less than the price with coupon B.
Coupon B gives the lower price.
The price with coupon B is $] less than the price with coupon A.
lol
Does the table below represent a function?
Answer:
Yes
Step-by-step explanation:
It is a function because the x value doesnt repeat itself. The x value is the input
a car travels at a constant speed for 2 hours. what is that speed miles per hour
Answer:
Distance/2 hours
Step-by-step explanation:
Distance=Speed times Time, and since the time is 2 hours, we can say Distance=Speed times 2 hours.
Now we divide both sides by 2 hours, resulting in Distance/2 Hours= Speed.
DUBS
Please consider a brainliest!
what is the center and radius of
[tex]x {}^{2} + y {}^{2} - 2x + y - 1 = 0[/tex]
[tex] = circle \: \: with \: \: the \: \: radius \: \: r = \frac{3}{2} \: \: and \: \: the \: \: center \: \: (1, - \frac{1}{2} )[/tex]
see the attachment
hope it helpsplease help me answer this question
9514 1404 393
Answer:
D. -17%
Step-by-step explanation:
The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...
-20/120 = -1/6
As a percentage, that change is ...
-1/6 × 100% ≈ -16.667% ≈ -17%
The electric bill changed by about -17% from March to April.
_____
Additional comment
Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.
The percentage change is found by ...
% change = ((new amount)/(original amount) -1) × 100%
Above, we have rearranged this to ...
% change = ((new amount) -(original amount))/(original amount) × 100%
There are 153 millimeters of juice in 1 carton. A three-pack of juice boxes contains a total if 459 millimeters. A. Estimate, and then find the actual total amount of juice in 1 carton and in a three-pack of juices boxes.
Answer:
1 juice boxes = 153 millimeters
459 ?
3 juice boxes = 459 millimeters
Step-by-step explanation:
Plz help i don’t understand the question
Answer:
the reciprocal of 1 6/7 is 7/15, so 7/15 and 7/13 have a difference of two in their denominators.
Step-by-step explanation:
hope I helped you! :D
о
3. Aspect Ratios (Tires)
If you have changed the tires on your car, the original diameter is 21 inches. to a new diameter of 25.2 inches,
how fast are you actually going if your speedometer is reading 53 mph?
a
44.2 mph
b. 63.6 mph
c. 60.8 mph
d. 53 mph
Hello I need plzzzz help
Answer:
The number of hours Jenny babysits
Step-by-step explanation:
Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.
Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x
5(3)+10. This means Jenny will charge the person she babysat for a total of
$15 just for the hours alone.
Hope this helps! :)
Answer:
x represent the number of hours Jenny Babysits
Step-by-step explanation:
since she charges $5 per hour, then X is always how many hours