Answer:
Edge: 7 cm
Step-by-step explanation:
Cubic root of 343 = 7
Create a shape with an area of 0.8 m2 and a perimeter close to 400 cm
The dimension of the shape is approximately 1.45 meters by 0.55 meters
Assume the shape is a rectangle, that has the following dimensions.
Length = x
Width = y
So, the area is:
Area = xy
The perimeter is
Perimeter = 2(x + y)
Substitute known values
[tex]\mathbf{xy = 0.8m^2}[/tex]
[tex]\mathbf{2(x+y) = 400cm}[/tex]
Express cm as m
[tex]\mathbf{2(x+y) = 4m}[/tex]
Divide through by 2
[tex]\mathbf{x+y = 2m}[/tex]
Make x the subject (ignore the units)
[tex]\mathbf{x= 2 - y}[/tex]
Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]
[tex]\mathbf{(2-y)y = 0.8}[/tex]
Open brackets
[tex]\mathbf{2y-y^2 = 0.8}[/tex]
Rewrite as:
[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]
Using a calculator, we have:
[tex]\mathbf{y \approx (0.55,1.45)}[/tex]
Recall that:
[tex]\mathbf{x= 2 - y}[/tex]
So, we have:
[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]
[tex]\mathbf{x \approx (1.45,0.55)}[/tex]
Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters
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The table shows information about all students in a Year 7 form class.
Age 11 Age 12 Total
Girls 8 9 17
Boys 8 10 18
Total 16 19 35
A student is selected at random from the register.
Find the probability of selecting a boy.
Give your answer in its simplest form.
Answer:
18/35
Step-by-step explanation:
favorable cases (in this case they are the boys, so 18) divided by possible cases (every student).
I do this do y'all can get extra point and complete challenges!
What is 4 + 4
8 is the correct answer. By the way, Thank you for the few extra points.. It is very appreciated.
Find the constant of proportionality and write an equation for the following proportional relationship.
You drove 330 miles in 6 hours.
Use d to represent the distance you drove and t to represent the time
Answer:
NoShutterStock gives the correct value: 55 miles/hr (mph)
I'll only add that distance, d, is the product of time, t, and speed, s.
(Distance, d) = (Time, t x) (Speed, s)
d = ts
330 miles = (6 hours)*(s)
s = 330 miles/6 hours, or 55 mph
Step-by-step explanation:
The constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.
What is proportionality?Two quantities are said to be in direct proportion (or directly proportional), if one is a constant multiple of the other, i.e. y is said to be directly proportional to x if y = kx where k is a constant.
Given that, find the constant of proportionality and write an equation for the following proportional relationship.
"You drove 330 miles in 6 hours."
Here, the constant of proportionality =
330/6 = 55 miles per hour
The equation for the proportional relationship =
y = 55x
Where, y is total distance and x is hour of travelling.
Hence, the constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.
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Emilino needs to arrange chairs for a drama club
meeting at his school. There are 30 students coming.
What
are the different ways he can arrange the chairs so that each
row has the same number of chairs?
This is the same as saying "find the factors of 30". There
are 5 different ways.
Answer:
(1 row & 30 columns) (2 rows & 15 columns) (3 rows & 10 columns) (5 rows & 6 columns) (6 rows & 5 columns)
Step-by-step explanation:
1 * 30 = 30
2 * 15 = 30
3 * 10 = 30
5 * 6 = 30
6 * 5 = 30
Scientific Notation
Standard Form
Write this number in standard form:
4.415 x 10-8
Express 6/8 as a percentage.
Answer:
75%
Step-by-step explanation:
Here, 6/8 = 6/8×100%
= 75%.
Answer:
75
Step-by-step explanation:
6/8×100%= 75(as we are expressing in percentage so multiplting by 100
Last year at a certain high school, there were 60 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll increased by 10% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
19.3%
Step-by-step explanation:
There were 10% * 60 = 6 more boys, and 25% * 100 = 25 more girls, so in total 31 more students got on the honor roll. From 160 to 191, the percentage is 31/160 = 0.19375
0.19375 = 19.3%
A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two sets of data? median mode mean standard deviation.
Answer:
standard deviation on edge
Step-by-step explanation:
The statistic should he use to compare the spread of the two sets of data is the standard deviation.
What is a standard deviation?The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
We have,
The standard deviation is the statistic that should be used to compare the spread of two sets of data.
The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
A larger standard deviation indicates that the data points are more spread out, while a smaller standard deviation indicates that the data points are more tightly clustered around the mean.
By comparing the standard deviations of the two sample sets of snowfall data, the scientist can determine which set has a larger or smaller spread of data.
Thus,
The statistic should he use to compare the spread of the two sets of data is the standard deviation.
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The theater manager needs to set up 54 chairs for a show each row can be holed up to eight chairs the manager puts as many chairs in each row as possible how many rolls will the manager set up
Answer:
7 not 7 full rows though
Step-by-step explanation:
Which of the following is the midsegment of triangle ABC ?
Α. AL
B. LM
C. LB
D. MC
Answer:
LM
Step-by-step explanation:
how to graph f(x)=2x^2-2
Answer:
ASWKT TAKING X AS ANY NO.
X=1
by substituting we get answer as 2,0
Step-by-step explanation:
mark as brainliest
Help given the graph of the function below what happens to f(x) when x is a small positive number?
Answer:
A
Step-by-step explanation:
If x = 5, find the value of
a) x2
b) (x + 3)^2.
the 2 is meant to be squared
Answer:
a)since x=5
x²= 5×5
=25
b)(x+3)²
x=5
5+3=8
8²=8×8
=64
Soo :
a) x² = 5² = 5•5 = 25
b) (x + 3)² = (5 + 3)² = 8² = 8•8 = 64
y
∝
1
√
x
If
y
=
4
when
x
=
49
find,
x
when
y
=
14
Answer:
x=4
Step-by-step explanation:
[tex]y \alpha \frac{1}{\sqrt{x} } \\or~y=\frac{k}{\sqrt{x} } \\when~x=49,y=4\\4=\frac{k}{\sqrt{49} } \\k=4 \times7=28\\y\alpha \frac{28}{\sqrt{x} } \\when ~y=14\\14=\frac{28}{\sqrt{x} } \\\sqrt{x} =\frac{28}{14} =2\\squaring\\x=2^2=4[/tex]
Find the difference or type
"impossible”
[1 -2 1] - [4 -5 -6]
Answer:
-3,3,7 for Acellus
that's it
plsss help me with this:((((
Answer: c. x + 3
Step-by-step explanation:
The first equation tells us the total area of the cloth. The second is the area of each piece. Divide the total area by the piece area to determine how many individual pieces can be made.
(x^3 + 27) can be factored into:
(x+3)(x^2 - 3x + 9) [Not easy, but true]
[(x+3)(x^2 - 3x + 9)]/(x^2 - 3x + 9)
(x^2 - 3x + 9) is on both sides, so it cancels, leaving (x + 3)
HELP PLEASE AHH I WILL GIVE BRAINLIEST
Answer:
140 Minutes
Step-by-step explanation:
Y = 0.125x ---> Corinne every 1 minute
Y = 3.5 + .1x ----> Aretha
0.125x = 3.5 + .1x
-.1x - .1x
0.025x = 3.5
0.025x/.025 = 3.5/.025
x = 140 minutes
how do i do all these problems i don't understand surface area?the paper is named volume and surface area of composite figures plz tell me a easy way im in class
Answer:
gud luk 4 class
Step-by-step explanation:
volume = all the sides times together
surface area = all side's area plus together
Karen purchased the DVD player shown in the sign on the right. Find the percent markdown rounded to the nearest percent. (SALE! Was $175.90. now $153.77)
HELP ME PLZZZ
Answer:
probably 2.................
Which is the better buy in each problem??
Answer:
1 - quarts of juice for 5.82 (the first one)
2 - 9.84 for a 12 pack of batteries (the second one)
3 - 24-pack of pencils for 2.64 (the first one)
4 - $2.46 for a 12-ounce jar of jam (the first one)
Step-by-step explanation:
Have a nice day
There are 412 eighth-grade students at a middle school.
• About of the eighth-grade students ride the bus.
• Of the eighth-grade students that ride the bus, are females.
Approximately how many eighth-grade students that ride the bus ?are
male?
A 110
B. 140
C. 165
D. 275
Answer:
I cant see the numbers...
Step-by-step explanation:
Sorry! I can tell you the answer if you comment on this post.
Help please I need help
Answer:
I think it would be A??? idfk man
Write the equation of the line in Slope-Intercept Form given the information below. Slope =4 Point =(1,−1) slope-intercept form
Answer:
y = 4x + -1/1
-1/1 as a fraction. Down by 1 and right by 1
The equation of line in slope intercept form which is passing through
(1, -1) is y = 4x -5.
What is the slope of line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
What is the equation of line in slope intercept form?The equation of line in slope intercept form is given by y = mx + c.
According to the given question.
We have
The solpe of the line, m = 4
Also, the point through which the line is passing, [tex](x_{1} , y_{1}) = (1, -1)[/tex]
Since, we know that the equation of line in slope intercept form of the line is given by
y = mx +c
Since, the above line is passing through (1, -1) and the slope is 4.
Therefore,
-1 = 4(1) + c
⇒ -1 = 4 + c
⇒ -1 -4 = c
⇒ c = -5
Substitute the value of m and c in the equation y = mx + c.
⇒ y = mx + c
⇒ y = 4x -5
Therefore, the equation of line in slope intercept form which is passing through (1, -1) is y = 4x -5.
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IM FAILLING PLZ HELPPPPP MEEEE
Answer: (x+ 13, y+13)
Step-by-step explanation:
In the figure, Line a is parallel to line b.
A. Which equation can be used to determine the value of x?
a
3x = 180 - 2x + 20
b
3x = 2x + 20
c
90 - 3x = 2x + 20
d
3x + 2x + 20 = 180
Answer:
b
Step-by-step explanation:
How do you find the positive/negative intervals of f(x) = 3/x + 5?
[] The positive interval is where the function is above the x-axis, and the negative interval is where the function is below the x-axis.
[] To find it, we can graph the function
() See attached
[] When the function is equal to less than 0, it'll be negative, otherwise it is positive
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
PLSSSSS HELP MEEEEEE DUE TODAY!!!!!
Answer:
4/5 or .8
Step-by-step explanation:
please help me woth this
If f(x) =6(9)^x then f(1/2)=?
Answer: f(1/2) = 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
In order to find f(1/2), we want to substitute 1/2 for x in our equation.
[tex]f(\frac{1}{2}) = 6(9)^{\frac{1}{2} }[/tex]
Then we can solve.
[tex]9^\frac{1}{2}[/tex] = 3, which means our equation is now:
[tex]f(\frac{1}{2}) = 6(3)[/tex]
6 * 3 = 18, so now we have:
[tex]f(\frac{1}{2}) = 18[/tex]