Answer:
226.19 in.
Step-by-step explanation:
circumference = πd
circumference = 3.14159 × 12 in.
circumference = 37.70 in.
In one revolution of the wheel, the unicycle travels a distance equal to the circumference of the wheel, or 37.70 in.
In 6 revolutions, the unicycle travels 6 times the circumference of the wheel.
6 × circumference = 6 × 37.70 in. = 226.19 in.
Answer: 226.19 in.
Mary and Jane went on a tour together. Mary brought twice as much money as Jane. After Mary had spent $800 and Jane had spent $240, they had equal amount of money left. How much money did Mary have at first?
Answer:
Mary has $1120
Step-by-step explanation:
money mary has at first : x
money jane has at first : y
Mary brought twice as much money as Jane : x=2y
Mary had spent $800 and Jane had spent $240, they had equal amount of money left : x-800=y-240
=> [tex]\left \{ {{x=2y} \atop {x-800=y-240}} \right.[/tex]
=> x=1120
y=560
Answer:
Mary had $1,120Step-by-step explanation:
Let the amount mary and jane had be 2x and x respectively.
Let the equal amount be y:
[tex]mary \: (y = 2x - 800) \\ jane \: (y = x - 240)[/tex]
Using the simultaneous equation method, multiply the first equation by the coefficient of x(1) of the second equation and the second equation by the coefficient of x(2) of the first equation:
[tex]y = 2x - 800 \\ 2y = 2x - 480[/tex]
Subtract the second equation from the first equation:
[tex] - y = - 320 \\ y = 320[/tex]
$320 was their equal amount.
Substitute 320 for y in any equation:
[tex]y = x - 240 \\ 320 = x - 240 \\ x = 320 + 240 \\ x = 560 \\ \\ 2x = 1120[/tex]
Therefore, Jane had $560 at first and Mary had $1120 at first.
solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
[tex]\boxed{\bold{x = 2, 3}}[/tex]
Stepwise Solving:
[tex]\rightarrow \sf x^2-5x + 6 = 0[/tex]
[tex]\sf use \ the \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0[/tex]
Identify the coefficients:
a = 1b = -5c = 6Solve for x:
[tex]\dashrightarrow \ \sf x=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4 \ x \ 1 \ x \ 6}}{2 \ x \ 1}[/tex]
[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{\left25-24}}{2}[/tex]
[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{1}}{2}[/tex]
[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm1}{2}[/tex]
[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right+ 1}{2} \ , \dfrac{\left5\right- 1}{2}[/tex]
[tex]\dashrightarrow \ \sf x=\dfrac{6}{2} \ , \ \dfrac{4}{2}[/tex]
[tex]\dashrightarrow \ \sf x= 3, \ 2[/tex]
I need help with this question
Answer:
Length: 20, Width=34
Step-by-step explanation:
Say the length of the width is w, and the length of the length is l. Then, we can establish an equation of W=2L-6. Since the area of a rectangle is W*L, we can substitute W with 2L-6. If we multiply 2L-6 and L, we get [tex]2L^{2} -6L[/tex]=680. We can simplify this equation by dividing everything by 2. We then get [tex]L^{2}-3L=340[/tex]. If we solve for L, we get 20. Now, we plug 20 into the equation, W=2L-6. Since W=2(20)-6, which simplifies to W=40-6 which is 34, we get a width of 34.
Hope this helps
Leon and Omar went to grab ice cream after track practice. They each chose a container shaped like a cone or a cylinder. The dimensions of each container are shown in the drawing.
The volume of the cone and cylinder with a radius of 7 cm and height of 10 cm is 513.33 cm³ and 1540 cm³ respectively.
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
Let us assume the cone and cylinder has a radius of 7 cm and height of 10 cm, hence:
Volume of the cone = (1/3) * π * radius² * height = (1/3) * π * 7² * 10 = 513.33 cm³
Volume of the cylinder = π * radius² * height = π * 7² * 10 = 1540 cm³
The volume of the cone and cylinder with a radius of 7 cm and height of 10 cm is 513.33 cm³ and 1540 cm³ respectively.
Find out more on volume at: https://brainly.com/question/12410983
I need help with this question
Step-by-step explanation:
HELP ME ON THIS!!!!!
PLS ITS VERY IMPORTANT
Answer: 30 units^2
Step-by-step explanation:
[tex]\mathrm{From \ the \ figure \ we \ know \ this \ is \ a \ right \ triangle. \ The \ area \ of \ the \ triangle}:[/tex]
[tex]A = \frac{1}{2}bh \\= \frac{1}{2} \times 6 \times 10\\= 30 \ units^2[/tex]
(Formula for area of right triangle: Half of the product of two right edges)
Therefore, the area of the triangle is 30 units^2
a/-3=18 what does a equal?
Answer:
I believe a is equal to -54
please help me it's ,due, by 30 minutes please help me.
Step-by-step explanation:
I hope its helped ! studied well.
Answer:
a: The tape diagram represents the story because there’s 5 boxes representing the 5 weeks and x-2 in each box since x represents the amount Andre’s neighbor will pay him weekly to mow the lawn. This all equals 40 because that’s how much money he has to save.
B: Andre’s neighbor pays him 10 dollars each week to mow the lawn.
Step-by-step explanation:
b: For this part you have to make an equation combining all the five weeks which would be 5x-10. Then you would make it equal 40 because that’s how much he needs to save 5x-10=40. The you solve to find x by adding 10 to both sides of the equation and get 5x = 50. Then if you divide 5 on both sides you get 10!
You can check you work by plugging in 10 as x into the diagram.
6/5 + ? = 27/10? Help me pls
[tex]\cfrac{6}{5}~~ + ~~\boxed{?}~~ = ~~\cfrac{27}{10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{6}{5}~~ + ~~\boxed{?} \right)~~ = ~~10\left( \cfrac{27}{10} \right)}\implies 12+10\boxed{?}=27 \\\\\\ 10\boxed{?}=15\implies \boxed{?}=\cfrac{15}{10}\implies \boxed{?}=\cfrac{3}{2}[/tex]
find x and y. use proper postulates or theorems to justify your answer
Answer:
x = 110
y = 23
Step-by-step explanation:
For X :
100 = x -10
110 = x
Corresponding angles are equal
For Y :
180 - 110 = 70
(2y + 24) = 70
2y = 46
y = 23
Adjacent Angles on a straight line add up to 180 Degrees
Christy bought a 9- foot piece of lumber trim bookshelf. Altogether, she needs 100 inches of lumber. Did Christy buy enough lumber? Show your work and explain.
Answer:
Yes.
Step-by-step explanation:
because 9 feet converted to inches equals 108 inches, we know this because we can convert feet to inches via multiplication. To do this, simply multiply the given number (9) by 12 to get your answer.
What does 5/x = 7/x+2 equal?
Solve by cross multiplying.
(5 over x and 7 over x+2)
Answer:
I have no idea ask 567 9922 mathe teacher
Hey there!
[tex] \rm{\frac{5}{x} = \frac{7}{x + 2} }[/tex]
Solve:--
[tex] \sf\rightarrow \: (7)(x) = (5)(x + 2)[/tex]
[tex] \sf\rightarrow \: 7x = 5(x + 2)[/tex]
[tex] \sf\rightarrow \: 7x = 5x + 10[/tex]
[tex] \sf\rightarrow \: 7x - 5x= 5x + 10 - 5x[/tex]
[tex] \sf\rightarrow \: 2x= 10 [/tex]
[tex] \sf\rightarrow \: \frac{ 2x}{2}= \frac{10 }{2}[/tex]
[tex] \sf\rightarrow \: x= 5[/tex]
~Done~
Explain how you would add 38+45
Answer:
83
Step-by-step explanation:
first add whatever is in the 1's place so for 38, 8 is in the 1's place and for 45, 5 is in the 1's place
so first it will be 8+5 which is 13 so you are going to carry the 1 over to the tens place so now it will be 30 + 40 + 10 and that equals 80 so you add 80 and 3 which looks like 80+3 and that equals 83
please help the question is attached below
Step-by-step explanation:
a)
we have 400 people. that is 10/10 of the whole group.
7/10 of the whole group drink tea. that is
400 × 7/10 = 40 × 7 = 280
that leaves 3/10 of the whole group not drinking tea
400 × 3/10 = 40 × 3 = 120
from the 280 tea drinkers 20% drink at lay e cups of tea each day. that is
280 × 20/100 = 28 × 2 = 56
because 20 out of 100 is the meaning of 20%.
and the remaining 80% of the tea drinkers drink less then 3 cups each day.
280 × 80/100 = 28 × 8 = 224
b)
out of the 400 people 56 drink at least 3 cups of tea each day. that is
56/400 = 7/50
Which function includes the pony (0, 9) on its graph?
Answer choices:
A: x=9
B: y=9x^2
C: y= √x + 3
D: y= -1/3x + 9
Answer:
D is d because when You have to do they graph You have multiplicar
What is the probability of picking an orange marble and flipping tails?
Answer:
1/7 and 1/2
Step-by-step explanation:
The probability of orange marble is 1/7
Probability of tails is 1/2
If you need to add this, then it'll be 1/14
7 x 2 = 14
1 x 1 = 1
How are genetic engineering and artificial selection different? (in your own words)
Artificial selection picks previously existing qualities by breeding individuals with favourable traits, whereas genetic engineering affects the genetic composition of plants or animals by adding new genes or silencing genes.
Solve by substitution.
2x +y = 9
(3x – 4y = 8
-
=
Answer:
Step-by-step explanation:
Working with the top equation, subtract 2x from both sides.
y = 9 - 2x
Put this value for y in the second equation
3x - 4(9 - 2x) = 8 Remove the brackets
3x -36 + 8x = 8 Add 36 to both sides
3x + 8x = 8 + 36 Combine
11x = 44 Divide by 11
x = 4
2x + y = 9
2*4 + y = 9
8 + y = 9 Subtract 8 from both sides
y = 9-8
y = 1
Answerx = 4y = 1Tamara takes care of 28 chickens. Her little sister Brianna takes care of 7 chickens.How many times more chickens does Tamara take care of than Brianna?
A.3
B.4
C.21
D.35
Answer:
B. 4
Step-by-step explanation:
To undo multiplication (which is what is being asked of us) you must divide. 28 divided by 7 is 4
so
4 x 7 is 28
If Brianna is taking care of 7 chickens, Tamara is taking care of 4 times the number of chickens because she is taking care of 28
a railroad crossing sign has a diameter of 30 inches. what is the area of the sign?
Answer:
706.5m^2
Step-by-step explanation:
The sign is a circle
Area of a circle is (pi)r^2
d = 30 in -> r = d/2 = 30/2 = 15
Area = 3.14 x (15)^2 = 706.5m^2
Answer:
about 706.5 or 706.86
Step-by-step explanation:
to find this answer we need to use the area formula of a circle which is A = πr ^2
we know the diameter is 30, and the radius is half the of diameter, so we take 30 and divide it by 2, which should give us 15 for the radius. ( 30/2 = 15, so r = 15)
depending on how your teacher wants u to answer this you can use π on a calculator or use 3.14
now just plug in your numbers to formula
A = 3.14 * 15^2 or A = π * 15^2
and should equal about 706.5 or 706.86 (depending on if you use 3.14 or π)
Calculate the IQR given the box plot
Answer:
10
Step-by-step explanation:
The Interquartile Range (IQR) is the difference between Q3 and Q1.
From the diagram we see that Q1 = 40, and Q3 = 50
IQR = Q3-Q1 = 50 - 40 = 10
Please help
Suppose Troy conducted a statistical study by asking 12 math teachers the following question:
"How many students are in your first period dass this year?"
Explain why this is or is not a statistical question.
The question asked by Troy is a statistical question because there would be variability in the answers he get fro the 12 maths teachers.
What is a statistical question?A statisical question is a question that can only be answered through the collection of data. Thhere would be variablility in the results gotten from the data.
A non- statistical question is a question that has only one answer. For example, how old are you? is a non-statistical question.
To learn more about a statisitcal question, please check: https://brainly.com/question/21508412
Which of the following expressions is equivalent to……
Answer:
Box 4
Step-by-step explanation:
negative divided by negative is positive so both negatives cancel out and u get (5/6) / (1/3)
what is the area of the figure?
Answer:
182 m
Step-by-step explanation:
The shape is a trapezoid. The area of the trapezoid formula is [tex]\frac{a + b}{2}h[/tex].
The two bases (AKA a and b) are 8 + 18.
The height is 14.
[tex]\frac{18+8}{2} 14[/tex], Add 18 + 8
[tex]\frac{26}{2}14[/tex], Divide 26 by 2
[tex]13 *14[/tex], 182
round to the nearest hundredth
Answer:
the answer without rounding is 147 but with its 100
Step-by-step explanation:
firsts you add up both sides of the triangle and then you subtract by 180 and now that you your answer but you had to round AN anyting above 150 you would have to run to 200 but you had one 47 so it's 100
I need help with this question really badly please help.
Hey ! Can anyone help me solve these problems please. Thank you !
Please help me understand the problem
Answer:
y = 60 :)
Step-by-step explanation:
Triangle angle total measure: 180
We need to add upp the angles we know and subtract from the total 180, so we can figure out y.
60 + 60 + y = 180
120 + y = 180
180 - 120 = 60
y = 60
Now you know how to solve this type of problem!
Have a great day!!
Please rate and mark brainliest!!
Answer:
The value of y should be 60
Step-by-step explanation:
Tell me if its not right
Can someone help me solve this please, I'm stuck.
The expression (3a + 2b)^7 is a binomial expression;
The coefficient of the fourth term is 15120
How to determine the coefficient fourth term?The equation is given as:
(3a + 2b)^7
The above expression is a binomial expression;
Assume the expression is:
(x + y)^n
The equation of the expansion is:
[tex](x + y)^n = ^nC_r * x^{n-k} * y^k[/tex]
When the expression is expanded, the parameters of the fourth term are
n = 7
r = 4
x = 3a
y = 2b
So, we have:
(3a + 2b)^7 = 7C4 * (3a)^(7-4) * (2b)^4
Evaluate each factor
(3a + 2b)^7 = 35 * (3a)^3 * (2b)^4
Evaluate the powers
(3a + 2b)^7 = 35 * 27a^3 * 16b^4
Evaluate the product
(3a + 2b)^7 = 15120a^3b^4
The coefficient of the above expression is 15120
Hence, the coefficient of the fourth term is 15120
Read more about binomial expressions at:
https://brainly.com/question/13602562
What is the mean for this list of numbers? 4, 12, 13, 7
Answer:
9
Step-by-step explanation:
Add all numbers together: 36
divide by the amount of numbers in the list: 9
:)