Answer:
4 5/6
Step-by-step explanation:
Turn both 8 1/3 and 3 1/2 into improper fractions (just to make it less complicated).
8 1/3 = 25/3
3 1/2 = 7/2
Then, try and make the denominators the same by finding the LCD (least common denominator).
The least common denominator of 3 and 2 is 6. Multiply both the denominators (3 and 2) to get 6, multiply the numerator with it as well (I can't explain this part properly, but the fractions will somehow explain).
[tex]\frac{25*2}{3*2}[/tex] = [tex]\frac{50}{6}[/tex]
[tex]\frac{7*3}{2*3}[/tex] = [tex]\frac{21}{6}[/tex]
So, then subtract (50/6 - 21/6).
50/6 - 21/6
= 29/6 = 4 5/6
So, 8 1/3 - 3 1/2 is 4 5/6.
A can of nacho cheese has a radius of 8 inches and a height of 4 inches. a can of
jalapeños has a radius of 4 inches. what is the height of the jalapeño can if both
cylinders have the same volume? (show your work.)
(hint: start by finding the exact volume of the nacho cheese can.)
Answer:
8 inches
Step-by-step explanation:
Nacho cheese
v= Pi×radius×2×height
v = 3.14×8×2×4 = 200.96
jalapeño
3.14×4×2=25.12
200.96÷25.12=8
the height is 8
to check your work you can do
(multiply by 8 and see if it equals 200.96)
3.14×4×2×8 = 200.96
since the volume is the same as the volume for nacho cheese we can say that 8 inches for height is correct
Aaden has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs 40 points for a free movie ticket.
Write and solve an equation which can be used to determine xx, the number of visits Aaden must make to earn a free movie ticket.
Answer:
20/2.5 =? (Answer is 8)
Step-by-step explanation:
Aaden needs 40 points.
He gets 20 at the start, just for signing up, so he needs only 20 now.
If he gets 2.5 points for each visit, after 8 days he will have been given 20 more points, allowing him to get a free movie ticket.
Brainliest please?
prove it equals 1
(Tanx - Cotx) + Sinx.Cosx
Step-by-step explanation:
(sinx/cosx - cosx/sinx) + sinxcosx
sin²x - cos²x = 1
I can't prove
I only know sin²x + cos²x = 1 : )
Pleas help me with this and fast!
Select the two correct answers.
A number sentence with a missing digit is shown.
12._8 > 12.5
Which two numbers could be the missing digit?
2
6
9
4
0
Answer:
6 and 9
Step-by-step explanation:
Because if 6 is substituted,
12.68 > 12.5 (correct!)And if 9 is substituted,
12.98 > 12.5 (correct!)Find the length of the third side. If necessary, round to the nearest tenth
Answer:
9.21954445729
Step-by-step explanation:
A^2 + B^2 = C^2
7^2 = 6^2 = 85
The square root of 85 is...
9.21954445729
Please help me with this question
3 t-shirts and 2 hats cost £14
2 t-shirts and 7 hats cost £15
Find the cost of one t-shirt
Find the cost of one hat
Answer:
The cost of one T-shirt is £4
The cost of a hat is £1
Step-by-step explanation:
What is the area of this figure?
18 ft
3 ft
15 ft
12 ft
9 ft
3 ft
square feet
Submit
Answer: Times it
Step-by-step explanation:
Answer:
90 square feet
Step-by-step explanation:
area of this figure = area of 1 rectangle + area of 2nd rectangle
= L×B + l × b
= 18 × 3 + 12 × 3
= 54 + 36
= 90 feet²
Abby and her mom are driving on a road trip, and Abby is watching the milepost signs go by. Each hour she writes down which mile marker they pass and records her results in the table given. HoursMilepost162262 plus 50 equals 1123112 plus 50 equals 1624162 plus 50 equals 212 Question If Abby wants to write an equation to find the milepost they will pass, y, after driving for x hours, which type of equation would be ,begin emphasis, most
Considering that the mile counter increases by 50 every hour, a linear function should be empathized.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, they start at mile 62, and the counter increases by 50 every hour, which is a fixed amount, hence a linear function should be used.
More can be learned about linear functions at https://brainly.com/question/24808124
Show that the sum of the first 2n natural numbers is n(2n+1)
Not really sure if there’s a typo in my book or not
Answer:
This sum is the sum of an arithmetic sequence. There is a formula for the sum of an arithmetic sequence which can be looked up or derived by a variety of means.
A nice approach for this sequence is the following. Notice that the sum of first and last number in the sequence is the same as the sum of the second and second last, and also the same as the sum of the third and third last, and so on.
There are n of these pairs. So the desired sum is n x (first number + last number). But the first number is 1 and the last on is 2n. Thus the desired sum is n(1 + 2n).
Hope this helps!!
Mark Brainleast!!!!!!!!!!!
Consider the set {1, 2, 3, 4, ..., m} where m is some natural number, i.e. a positive whole number.
Now let's say we wanted to add everything in that set.
What we can do is write out the terms
1, 2, 3, 4, ..., m
then just underneath, we write the reverse of that set
m, ..., 4, 3, 2, 1
Here's an example of what I mean. I'll use m = 7
[tex]\begin{array}{|c|c|c|c|c|c|c|} \cline{1-7}1 & 2 & 3 & 4 & 5 & 6 & 7\\\cline{1-7}7 & 6 & 5 & 4 & 3 & 2 & 1\\\cline{1-7}\end{array}[/tex]
For each column, add straight down
The third row will be nothing but 8's
[tex]\begin{array}{|c|c|c|c|c|c|c|} \cline{1-7}1 & 2 & 3 & 4 & 5 & 6 & 7\\\cline{1-7}7 & 6 & 5 & 4 & 3 & 2 & 1\\\cline{1-7}8 & 8 & 8 & 8 & 8 & 8 & 8\\\cline{1-7}\end{array}[/tex]
We can see there are seven copies of '8' being added here, so the sum of all the numbers in the set {1,2,3,4,5,6,7} is 8*7 = 56. But wait, we double-counted each item when we formed the second row. So we must divide by 2 to fix the double-counting error.
Therefore, 1+2+3+4+5+6+7 = 56/2 = 28 instead.
-----------------------------
That previous example showed that adding from 1 to 7 means we have 7 copies of (1+7). In other words, 7 copies of 8 being added.
We could write that as 7(1+7)
Then divide that by 2 to fix the double-counting error.
We have 7(1+7)/2
Now imagine that we applied all of what was mentioned to the set {1,2,3,4,5,6,7,8}. Instead of 7's, we use 8's this time to get 8(1+8)/2
Then we can extend it out to the set {1,2,3,4,..., m} and we get the formula m(1+m)/2
We have m copies of (1+m) being added; hence the m(1+m). Don't forget to divide by 2 to fix the double-counting error.
-----------------------------
The key takeaway here is that summing 1+2+3+4+...+m gets us m(1+m)/2
In this case, m = 2n because we want the first 2n natural numbers.
Therefore,
m(1+m)/2
2n(1+2n)/2
n(1+2n)
n(2n+1)
represents the sum 1+2+3+...+n+...+2n
-----------------------------
Try out a value like n = 5 to find that 2n = 2*5 = 10, and,
1+2+3+4+5+6+7+8+9+10 = 55
also
n(2n+1) = 5(2*5+1) = 5*(11) = 55
Showing that the formula works for n = 5. I'll let you try other values of n.
Find the volume of a cone that has a diameter of 14 feet and a height of 11 feet. Use 3.14 for pi
Answer:
564.15 cubic ft[tex] \: [/tex]
Step-by-step explanation:
In the question, it is given that a cone has a diameter of 14 feet and a height of 11 feet and we have to find the volume of the cone.
[tex] \: [/tex]
To Find the volume of the cone, we must know this formula :
[tex] \\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(cone) }= \dfrac{1}{3} \: \pi {r}^{2}h }}}}}}} \\ \\[/tex]
Where,
r refers to the radius of the cone. As the diameter is 14 ft, therefore the radius will 7 ft.h refers to the height of the cone.Now, we will substitute the values in the formula :
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times {(7)}^{2} \times 11 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 49 \times 11 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 539 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1692.46 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1692.46}{3} }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \: \: \underline{ \boxed{ \frak{564.15 } }} }}}}}}} \: \: \bigstar \\ \\[/tex]
Therefore,
The volume of the cone is 564.15 ft³ .Step-by-step explanation:
Given :-
Height of cone :- 11 feet Diameter of cone :- 14 feet , radius = 7 feetTo Find :-
Volume of coneSolution:-
Formula for volume of cone = 1/3πr²h
putting the known values ,Volume = 1/3×3.14×7²×11 cubic ft.
Volume = 564.15 cubic ft.
The soccer players were required to run 6 more laps per day than the tennis players for five straight days. If the soccer players ran 45 laps total during these days, how many laps did the tennis players run each day?
Answer:
3 laps per day
Step-by-step explanation:
Divide 45 laps by 5 days to get how many laps they ran per day
45/5 = 9 laps per day
The tennis players run 6 less laps per day than the soccer players so subtract 6 laps from 9 laps to get their daily laps
6-9 = 3 laps per day
Hi can someone plss help me with these 2 questions. Im really struggling with them.
Trees are important to one's health as they produce oxygen and reduce climate change. Also, bees pollinate our crops leading to more crop production and increase in revenue.
What is health?It should be noted that health simply means the state of being free from illness or diseases.
In this case, trees are important for one's health as they help in the production of oxygen which are needed by human beings. Bees are also important for the generation of higher profits though the pollination of crops which leads to increase in crop production.
Learn more about health on:
https://brainly.com/question/5496881
Select the correct answer.
an experiment observing the growth of two germ strand populations finds these patterns.
• the population of the first germ is represented by the function a(x) = (1. 3)+9
• the population of the second germ is represented by the function b(t) = (1. 3)45+1
which function best represents function r, the ratio of the population of the second germ to the population of the first germ?
Answer:
the
• the population of the first germ is represented by the function a(x) = (1. 3)+9
Given P(A) = 0.55, P(B) = 0.42 and P(AUB) = 0.639, find the value of
P(An B), rounding to the nearest thousandth, if necessary.
Answer:
The probability of A and B, denoted as P(A ∩ B) is equal to 0.331.
Step-by-step explanation:
Recall our formula for the probability of A or B:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)We are given are variables already, which we can once again define:
P(A) = 0.55P(B) = 0.42P(A ∪ B) = 0.639To find P(A ∩ B), we start by plugging in the values into our formula:
0.639 = 0.55 + 0.42 - P(A ∩ B)We can add the RHS of the equation:
0.639 = 0.97 - P(A ∩ B)Subtracting 0.97 on both sides, we get closer to our answer:
-0.331 = -P(A ∩ B)To obtain our final answer, we can simply just divide both sides by -1:
0.331 = P(A ∩ B)P(A ∩ B) = 0.331Therefore, the probability of A and B is equal to 0.331.
What is the measure of each angle in the circle?
40°
60°
45°
36°
Answer:
i think it would be 45
hope im right
if not i can change it
Step-by-step explanation:
Answer:
45°
Step-by-step explanation:
The circle is divided into 8 equal arcs, each arc measuring an angle of:
360/8 = 45°
Hope this helps
Factor 5x^2−14x+8.
PLS HELP IM STUCK
[tex]5x^2-14x+8\\\\=5x^2-10x-4x +8\\\\=5x(x-2) -4(x-2)\\\\=(x-2)(5x-4)[/tex]
AABC and AXYZ are similar. Find the missing side length.
B
Y
14
28
A
2
4
А
?
C
X
3
Z
(The triangles are not drawn to scale.)
Answer:
21
Step-by-step explanation:
You can tell that AB=2x7
BC=4x7
So, you're increasing each by multiplying each by 7.
3x7=21.
Please Help !!! The figure below is made of 2 rectangular prisms.
Answer:
124
Step-by-step explanation:
4*5*3
+
2*4*8
=124
Formula for volume of a rectangular prism is base x height.
Q: Ribbon cost $1.44 for 3 m.
(1) What is the cost per meter?
(2) How much would 5 m of ribbon cost?
(3) How much ribbon could you buy for $12?
Answer:
1.44 divided by 3m will give $0.48/5 times 0.48 gives 2.412 times three divided by 1.44 gives$.25 A ship travels 40 miles due east, then adjusts its course 12° southward. After traveling 70 miles in that direction, how far is the
ship from its point of departure?
The ship movement is an illustration of distance and bearing
The ship is 31.97 miles from its point of departure
The distance from the point of departure?
The given parameters are:
Distance east = 40 miliesDistance southwards = 70 milesAngle = 12 degreesSee attachment for the image of the above parameters
The distance (x) from the point of departure is then calculated using the following cosine function
a^2 = b^2 + c^2 - 2bc * cos(Ф)
So, we have:
x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)
Evaluate the exponent and the product
x^2 = 6500 - 5477.63
Evaluate the difference
x^2 = 1022.37
Evaluate the exponent
x = 31.97
Hence, the ship is 31.97 miles from its point of departure
Read more about distance and bearing at:
https://brainly.com/question/24142612
(100 POINTS AND BRAINLIEST) Please use the answers that are given. Using the following data, calculate the mean absolute deviation
What is the mean absolute deviation for these data?
A: 9
B: 5.4
C: 5
D: 2.6
Answer:
There isn't any data, maybe you could put the rest of the question in the comment area.
i need help with #7 c and d
Answer:
c. 33.0%
d. 14.5%
Step-by-step explanation:
For answering questions about percentages in different categories or combinations of categories, it is convenient to find the totals of rows and columns in the table. These totals are shown in the attached.
__
c.Students who surf total 32+65 = 97. Of those, 32 also skateboard. The requested percentage is ...
32/97 × 100% ≈ 33.0% . . . . surfers who also skateboard
__
d.The total number of students is 166. Of those, the number who neither surf nor skateboard is 24. That percentage is ...
24/166 × 100% ≈ 14.5% . . . . students who don't surf or skateboard
_____
Additional comment
a. 97/166 ≈ 58.4% surf
b. 89/166 ≈ 53.6% do not skateboard
__
This sort of table is called a "two-way table." One set of categories is represented in rows, another set is represented in columns. This table is filled with frequencies. Such tables can also display relative frequencies by dividing the entire table by the total of totals in the lower right corner.
y’all please help!!! gradpoint & will give lotsss of points :((
Answer:
f(-8) = 64
Step-by-step explanation:
Given conditions :
f(x) = { x², if x < 0}or f(x) = {∛x, if x > 0}We have x = -8
⇒ It follows x < 0
Therefore, substituting x = -8 in the function :
f(-8) = (-8)²f(-8) = 64Moesha needs $79 for a class trip.
She alreadv has s22 and she can earn
the rest by babysitting for 8 hours.
If h represents her hourly earnings,
which of the following equations can
be solved to find Moesha's hourly
earnings? Select all that apply. Answer : 79=22+8H
Answer:
79-22=57.
Your answer is correct. You also have to fill in the second one (B)
Answer:
79-22=57
Step-by-step explanation:
I can explain on phone
which equation shows how to find P the total amount of Alex's paycheck
Answer:
it's the last one, and the missing number is 70 (the P)
The expression that represents this scenario is 35/p = 70/100.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Alex has 70% of her weekly paycheck automatically deposited into a savings account.
This week $35 is deposited,
∴ The expression that represents this situation is 35/p = 70/100.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
PLEASE HELP !!!!! I HAVE TO TURN THIS IN BY TOMORROW
Answer:
Step-by-step explanation:
Given the equation: y = 8 * 2ˣ, substitute the x-values in the table for x in your equation, to find the y-values.
For x = -1
[tex]y = 8 * 2^x\\y=8*2^{-3}\\y=8*\frac{1}{2^3} < ==negative\ exponent\ property: x^{-n}=\frac{1}{x^n}\\y=8*\frac{1}{8}\\y=8*0.125\\y=1\\\\(-1,1)[/tex]
For -2:
[tex]y = 8 * 2^x\\y=8*2^{-2}\\y=8*\frac{1}{2^2} < ==negative\ exponent\ property: x^{-n}=\frac{1}{x^n}\\y=8*\frac{1}{4}\\y=8*0.25\\y=2\\\\(-2,2)[/tex]
For -1:
[tex]y = 8 * 2^x\\y=8*2^{-1}\\y=8*\frac{1}{2^1} < ==negative\ exponent\ property: x^{-n}=\frac{1}{x^n}\\y=8*\frac{1}{2}\\y=8*0.5\\y=4\\\\(-1,4)[/tex]
For 0:
[tex]y = 8 * 2^x\\y=8*2^0\\y=8*\frac{1}{2^2} < ==zero\ exponent\ property: x^0=1\\y=8*1\\y=8\\\\(0,8)[/tex]
For 1:
[tex]y = 8 * 2^x\\y=8*2^1\\y=8*2\\y=16\\\\(1,16)[/tex]
For 2:
[tex]y = 8 * 2^x\\y=8*2^2\\y=8*4\\y=32\\\\(2,32)[/tex]
For 3:
[tex]y = 8 * 2^x\\y=8*2^3\\y=8*8\\y=64\\\\(3,64)[/tex]
Hope this helps!
Help me with this please
Answer:
B
Step-by-step explanation:
its b bc its inclusive and rhe others font make much sense
50 7 x + 22 x=?
Please help
Should you use Sine, Cosine, or Tangent to solve the following problem?
Answer:
sine
.....................
Find the equation of the line.
Use exact numbers PLEASEEE
y = ___ x+ ___
Step-by-step explanation:
[tex]y = \frac{3}{4} x - 2[/tex]
is the required equation
I hope it helped you
Answer:
y = [tex]\frac{3}{4} x-2[/tex]
Step-by-step explanation:
y = mx + c
m = gradient= [tex]\frac{-5-(-2)}{-4-0}[/tex]= [tex]\frac{3}{4}[/tex]
c = y-intercept = -2
