Answer:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
16 / 20 = 0.800
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 800
Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*
In this case, Rule I applies, so 16/20 (or 0.800) rounded to the nearest hundredth in decimal format is:
0.80
Next, we will make 16/20 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:
0.80 = 0.80/1
Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:
(0.80 x 100) / (1 x 100) = 80/100
That's it. 16/20 rounded to the nearest hundredth is displayed below (simplified if necessary):
4/5
What is the measure of arc FLI?
Answer:
140
Step-by-step explanation:
By inscribed angles, arc FPI = 2<FLI = 2*110 = 220. Since the entire arc of a circle is 360, we know that arc FLI + arc FPI = 360. Solving, we get arc FLI = 360 - 220 = 140.
I hope this helps!
Please help me ;-;
What's the next term?
0, 1/3
3, 2
6, 12
9, ?
(Above is supposed to be a table btw)
Answer:
72
Step-by-step explanation:
Based on the table, the left and the right side have a pattern. When 3 is added to the left side, the right side is multiplied by 6. Since 12 multiplied by 6 is 72, the missing number is 72.
The logarithmic expression ln(√e/y^3) can be rewritten as
Answer:
[tex]\dfrac{1 - 6 \ln y}{2}[/tex]
Step-by-step explanation:
[tex] \ln \dfrac{\sqrt{e}}{y^3} = [/tex]
[tex] = \ln \dfrac{e^\frac{1}{2}}{y^3} [/tex]
[tex] = \ln e^\frac{1}{2} - \ln y^3 [/tex]
[tex]= \dfrac{1}{2} \ln e - 3 \ln y[/tex]
[tex]= \dfrac{1}{2} - 3 \ln y[/tex]
[tex]= \dfrac{1 - 6 \ln y}{2}[/tex]
The given logarithmic expression can be written as [tex]\frac{1-6ln\ y}{2}[/tex]
Given that,
The given logarithmic expression is [tex]ln \frac{\sqrt{e} }{y^3}[/tex].We need to rewrite the above logarithmic expression.Based on the above information, the calculation is as follows:
[tex]= ln \frac{\sqrt{e} }{y^3}\\\\= ln \frac{e^{1/2}}{y^3} \\\\= ln \e^{1/2} - lny3\\\\= \frac{1}{2}ln e - 3 ln y\\\\= \frac{1}{2} - 3 ln \ y \\\\= \frac{1- 6ln \y}{2}[/tex]
Therefore we can conclude that the given logarithmic expression can be written as [tex]\frac{1-6ln\ y}{2}[/tex]
Learn more: brainly.com/question/24169758
The sum of two numbers is 20. Their difference is 4.
a. Write a system of equations that describe this situation
b. Solve by elimination to find the two numbers
Answer:
The two numbers are 12 and 8
Step-by-step explanation:
Well this is pretty simple
We can just list out everything that Adds up to 20
1+19
2+18
3+17
4+16
5+15
6+14
7+13
8+12
9+11
10+10
Now just subtract each one until you get the one that equals to 4
Which is 12 and 8 in this case
Write two numbers that multiple to the value on top & add the value on the bottom.
Answer:
23040
This is because math.
Write the equation, in slope-intercept form, of the line that passes through (-2,0) and is parallel to the line represented by 5x-3y=-17 .
Answer:
[tex]y=\frac{5}{3}x+\frac{10}{3}[/tex]
Step-by-step explanation:
Firstly we rewrite the equation that is parallel to the line we need because parallel lines have the same slope by the rule
[tex]m_1=m_2[/tex]
so we rewrite the equation in slope-intercept form:
[tex]5x-3y=17\\-3y=-5x+17\\y=\frac{-5x+17}{-3}\\\\y=\frac{-5x}{-3}+\frac{17}{-3} \\\\y=\frac{5}{3}x-\frac{17}{3}[/tex]
and now we compare it with our slope-intercept form equation:
[tex]y=mx+b[/tex]
the coefficient of x which is m is the slope and since parallel lines have equal slopes the line that we need would also have the same slope which is 5/3.
now the next step is the line that we need passes through the point (-2,0) so it means that it should satisfy that specific point so we insert that point into our slope-intercept form and insert the slope which is 5/3 which is m.
[tex]y=mx+b\\y=\frac{5}{3}x+b\\\\0=\frac{5}{3}(-2)+b\\\\0=\frac{-10}{3}+b\\\\b=\frac{10}{3}\\[/tex]
now we know that the y-intercept(b) of the line we need is 10/3 and slope(m) is 5/3 insert these values into our slope-intercept form:
[tex]y=mx+b\\y=\frac{5}{3}x+\frac{10}{3} \\[/tex]
so this is our given line.
A little girl standing next to a telephone pole at 10 AM. The little girl is 4'6" tall and the telephone pole is 40 feet high. If the telephone pole cast 8 32 foot shadow, how long is a little girl shadow?
Answer:
The shadow of the pole is 1.2 feet long
Step-by-step explanation:
A little girl standing next to a telephone pole at 10 AM.
From the above question
Height of the girl = 4'6" tall = 4 feet and 6 inches tall
We convert to feet
= 12 inches = 1 foot
6 inches = x
Cross Multiply
12 × x = 6 × 1
x = 6/12 = 1/2 = 0.5 feet
Hence, the total height of the girl =
4 feet + 0.5 feet = 4.5 feet
The height of the telephone pole = 40 feet high.
The shadow of the telephone pole
= 8' 32 foot shadow
= 8 feet, 32 inches
We convert the inches to feet
12 inches = 1 foot
32 inches = x
Cross Multiply
12 × x = 32 × 1
x = 32/12 = 8/3 = 2.67 feet
Total length of the pole = 8 feet+ 2.67 feet = 10.67 feet
how long is a little girl shadow?
This is calculated using proportion
Shadow/Height
Shadow of the girl = x
Hence:
Shadow of the girl/Height of the girl = Shadow of the pole/Height of the pole
x/4.5 feet = 10.67 feet/40 feet
Cross Multiply
40 × x= 4.5 × 10.67
x = 4.5 × 10.67/40
x = 1.200375 feet
Approximately = 1.2 feet
Hence, the shadow of the pole is 1.2 feet long
Write the equation of a line passing through (12, 279) and perpendicular to x=19
Step-by-step explanation:
The equation of the line is y = 279.
A television is on sale for 20% off its original price,p. Write a multiplication expression to
describe the sale price of the television.
A. 0.20p
C. 0.20p + P
D. p-0.20p
B. 0.20p-p
sale price of the television is c
Susan got 72 marks in English out of 120 and 70 marks in
Hindi out of 150. The maximum marks in the mathematics
paper were 180. If she got 60% marks in all the three papers
how y marks did she get in mathematics?
Answer:
let the marks obtained in maths be x
total marks obtained by susan=142+x
then
A/Q
60%of 450 =(142+x)
270=142+x
x=270-142
x=128
hence marks obtained in maths=128
OR
Max marks 120+150+180=450
60% of 450 is 270
70 +72+x=270
x=270-142
x=128
Graph a line with a slope of 4 that contains the point (3,0)
Answer:
So the slope is rise over run. You need the y intercept and the slope to write an equation. To find the y intercept, use the formula : 0=4(slope)*3+b and you get 0=12+b then you subtract twelve from both sides, getting b=-12. Thats your y intercept. So your equation will be y=4x-12
A basketball costs $32.00. The sales tax rate is 7%. Find the amount of sales tax
The amount of the sales tax is $2.24.
Given that,
The cost of the basketball is $32.00And, the sales tax rate is 7%.Based on the above information, the amount of the sales tax rate is
[tex]= \$32 \times 7\%[/tex]
= $2.24
Here we simply multiply the cost with the sales tax rate.
Therefore we can conclude that the amount of the sales tax is $2.24.
Learn more: brainly.com/question/23461853
An airplane flying with the wind can cover a certain distance in 2 hours. The return trip against the wind takes 2.5 hours. Find the average airspeed and wind speed, if the one-way distance is 600 miles.
Answer:
Wind speed = 30 mph
Plane speed = 270 mph
Step-by-step explanation:
Given that :
Distance = 600 miles
Let speed of airplane = a ; speed of wind = b
Net speed ; with wind = a + b
Net speed against wind = a - b
Time taken with wind = 2 hours
Time taken against wind = 2.5 hours
Recall :
Speed = distance / time ; distance = speed * time
(a + b) * 2 = (a - b) * 2.5
2a + 2b = 600
a + b = 300 - - - (1)
a = 300 - b
2.5a - 2.5b = 600
a - b = 240 - - - (2)
300 - b - b = 240
300 - 2b = 240
-2b = - 60
b = 30
a = 300 - 30
a = 270
Wind speed = 30 mph
Plane speed = 270 mph
help with multiple choices homework
A
Step-by-step explanation:
Tony wants to make a dog bed for his dog. He has a Golden Retriever and wants to make sure the bed is big enough so his dog can stretch out. He buys 8 yards of fabric for the bed. The fabric he chooses costs $6.99 per yard. He also needs to buy a filling for the bed. He buys 3 bags of polyester filling, which are $7.99 a bag. How much will Tony pay for the materials for the dog bed?
A. $23.97
B. $55.92
C.$38.87
D.$79.89
Answer:
D.$79.89
Step-by-step explanation:
Cost of one yard of fabric = $6.99
Length of fabric bought = 8 yards
Cost of one bag of polyester filling = $7.99
Number of bags of polyester filling bought = 3
Total cost of fabric = [tex]6.99\times 8=\$55.92[/tex]
Total cost of polyester filling = [tex]7.99\times 3=\$23.97[/tex]
Total cost of materials bought = Total cost of fabric + Total cost of polyester filling
[tex]=55.92+23.97=\$79.89[/tex]
Total cost of materials bought is [tex]\$79.89[/tex].
(Easy Question) There are 3 apples and 4 bananas, what is the ratio of bananas to apples? Marking Brainliest for the first correct answer.
Answer:
4:3 or 4 to 3
Step-by-step explanation:
WORTH 100 POINTS // I NEED HELP! EXPLAIN HOW YOU GOT THE ANSWER ALSO
x= 6.32
y= 12
z= 18.97
Step-by-step explanation:I got my answer by; using the MCF and multiplying to see how many times 6/2 will go into x,y,z!
Hope this helps:)!
Answer:
x= 6.32
y= 12
z= 18.97
please help me
find the slope and explain what the slope represents
write the equation of the line
what does the y-intercept represent
using the equation calculated the length of the spring when 15 ib. of the weight is attached
Answer:
Slope=2
y intercept= Length of spring without any weight
15 lbs= 38 inches
Step-by-step explanation:
slope=
18-12/5-2= 6/3 = 2
y intercept= 0=x and x=amount of weight
equation= 2x+8=y
2(15)+8=38
Your high school is having a competition where students have to guess how many candy canes are in a jar. The tens digit is 4 more than twice the ones digit. The sum of the digits is 4. How many candy canes are in the jar
Answer:
40
Step-by-step explanation:
let ones be x
tens is 4 + 2x
4 + 2x + x = 4
3x = 0
x = 0
tens is 4 + 2*0
tens = 4
40 candy canes
PLEASE HELP HELP!!! PRECALC
Answer:
The base is 0.1
The base is less than 1 so the function is decreasing
The x intercept is (3,0)
Step-by-step explanation:
The base of a logarithm refers to the number that must be raised to the power of the number on the right hand side of the logarithmic equation in order to yield the number on the left hand side of the logarithmic equation. It is always written as a subscript below the log symbol. In this case, the base is 0.1.
When the base of a logarithm is less than 1, it means that the function is decreasing as is the case in this question.
Looking at the graph, the x axis is cut at the point (3,0). This is the x-intercept of the graph.
What is six fourths plus five tenths?
A. 11/10
B. 30/40
C. 3/4
D. 11/40
E. 2
F. 11/4
Answer:
e. 2
Step-by-step explanation:
Can somebody plz help answer all the questions correctly thanks !
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD
Answer:
what questions? I dont see any
Answer:
there are no questions here but i am willing to see if i can help you with what you need
Step-by-step explanation:
Nicole is running for school president. Her best friend designed a campaign poster, which measured 3 feet by 2 feet. Nicole like the poster so much, she reproduced the artwork on rectangular buttons that measured 2 inches by 1 1/3. What is the scale factor?
Answer:
The scale factor is 18 to 1 for the painting
Step-by-step explanation:
Here we want to get the scale factor of the original to what is reproduced
Let us have same units first
Mathematically;
1 foot = 12 inches
3 feet = 36 inches
2 feet = 24 inches
So 36 to 2 and 24 to 1 1/3
That will be ratio 36/2 = 18 to 1
same as 25 divided by 1 1/3 = 18 to 1
Round 729 to the nearest 100
Answer:
700
Step-by-step explanation:
700
The graph shows the solution to which system of inequalities?
Answer:
is A B and D
Step-by-step explanation:
What Is the slope of the line that passes through these two points (-5,7) and (6,4)
Answer:
slope = - [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 7) and (x₂, y₂ ) = (6, 4)
m = [tex]\frac{4-7}{6+5}[/tex] = [tex]\frac{-3}{11}[/tex] = - [tex]\frac{3}{11}[/tex]
(-4x2 + 3x + 3) – (4x2 + 9)
Answer:
[tex]-8x^{2}+3x-6[/tex]
Step-by-step explanation:
The image below shows step-by-step on how to simplify the expression.
Hope this helps! :)
9.8(3x - 7.2) please help!!!
Answer:
29.4x-70.56
Step-by-step explanation:
The length of a side of a regular hexagon is 6.8 cm, correct to one decimal place. Find the smallest possible perimeter of the length
Answer: 40.8cm
Step-by-step explanation:
A hexagon is a polygon that is made up of 6 sides. The perimeter of a regular hexagon is calculated by multiplying the side given by 6
Since the length of a side of a regular hexagon is 6.8 cm, the perimeter will be:
= 6 × 6.8
= 40.8cm
helppppppppppppppppppppp