Answer:
Radius= 11
Circumference= 69.12
Area= 380.133
Step-by-step explanation:
Radius is half of the diameter.
Circumference is 2[tex]\pi[/tex]r.
Area is [tex]\pi r^2[/tex].
The art teacher has 36 small sticks and 60 pipe cleaners for art projects. He wants to make kits for all the students using all the sticks and pipe cleaners. All the kits must be alike. He wants to make as many kits as possible. What is the greatest number of kits he can make.
A) 8 kits
B) 9 kits
C) 12 kits
D) 36 kits
Answer:
The greatest number of kits he can make is 12 kits
Step-by-step explanation:
The greatest common divisor or GCD is called the greatest number that divides exactly two or more numbers at the same time.
The greatest common divisor is usually expressed as GCD(a,b), where a and b are numbers.
Being the divisor of a number is the value that divides the number into exact parts, that is, that the remainder is zero, one way to calculate the GCD is to determine all the divisors of each number, and from these point out the common divisors, of which the major divisor will be the GCD of those numbers. In this case:
Divisors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Divisors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
The common divisors of 36 and 60 are 1, 2, 3, 4, 6 and 12, of which the greatest is 12. So GCD(36,60)=12
Another way to calculate the GCD is through prime factorization, which always starts with the smallest divisible number of the number being analyzed. In this case:
The decomposition of 36 is: 2*2*3*3 = 2²*3²
The decomposition of 60 is: 2*2*3*5= 2²*3*5
Now the common factors with the lowest exponent are chosen and multiplied. The result obtained is the GCD. In this case, the common factors of 36 and 60 are: 2² and 3 and their multiplication gives: 2²*3= 12. So GCD(36,60)=12
The greatest number of kits he can make is 12 kits
Please helps What is the base and the exponent of [tex]7^4[/tex]
Answer:
Base: [tex]7[/tex]
Exponent: [tex]4[/tex]
Step-by-step explanation:
What is the base and the exponent of [tex]7^4[/tex]?
If you want to know the base, you will have to look at the whole number. The whole number is 7. So that means the base is 7. The number on top of the whole number(exponent) is gonna be the exponent. The number 4 is on the exponent. So in that case, the number 4 is the exponent. So the base is 7 and the exponent is 4.
Hope this helps!
Answer:
Base(7)
Exponent(4)
Step-by-step explanation:
A base is always the whole number. In this exponent, the whole number you see is 7. So that means 7 is the base number. The exponent is the small number you see on top of the whole number(base). The exponent on top of the whole number is 4. So the base number is 7 and the exponent is 4.
Hope this helped you a lot!
Is sqrt -5 rational, irrational or imaginary?
Answer:
Imaginary
Step-by-step explanation:
[tex] \sqrt{ - 5} \: is \: imaginary[/tex]
I will give the brainiest
Tim has 74 socks, all in pairs. He has 1 more pair of white socks than black socks. How many
individual socks of each color does he have?
black socks
white socks
Answers:
36 individual black socks
38 individual white socks
Check: 36+38 = 74 total individual socks
====================================================
Work Shown:
b = number of pairs of black socks
w = number of pairs of white socks
w = b+1 since he has 1 more pair of white socks compared to black socks
2b = number of individual black socks
2w = number of individual white socks
2b+2w = total number of individual socks
2b+2w = 74
2b+2(b+1) = 74 .... plug in w = b+1
2b+2b+2 = 74 ... distribute
4b+2 = 74
4b = 74-2 .... subtracting 2 from both sides
4b = 72
b = 72/4 ... dividing both sides by 4
b = 18 is the number of pairs of black socks he has
2b = 2*18 = 36 is the number of individual black socks he has
w = b+1 = 18+1 = 19 is the number of pairs of white socks he has
2w = 2*19 = 38 is the number of individual white socks he has
2b+2w = 36+38 = 74 individual socks overall
what is the value of the expression below when y=5? y^2-3y+6
Answer:
y = 5
y^2 - 3y + 6
= 5^2 - 3(5) + 6
= 25 - 15 + 6
= 10 + 6
= 16
what is the solution to this system of equations?
x-2y=15
2x + 4y=-18
Answer:
x = 3; y = -6
Step-by-step explanation:
x - 2y = 15
2x + 4y = -18
Multiply both sides of the first equation by 2. Write the second equation below it, and add the two equations.
2x - 4y = 30
(+) 2x + 4y = -18
---------------------------
4x = 12
4x/4 = 12/4
x = 3
Now we substitute 3 for x in the first equation and solve for y.
x - 2y = 15
3 - 2y = 15
-2y = 12
y = -6
Answer: x = 3; y = -6
In the quadrilateral,all the sides are equal,but diagonals are not equal is called?
Answer:
I think it would be a rhombus.
please answer thank you!
Answer:
Maya messed up on Step 1, David messed up on Step 2
Step-by-step explanation:
Maya:
Step 1 should distribute to 5x - 15 = 12
David:
Step 2 should be 3x - 2x = -2 - 3 after you combine like terms
Is 0.485 greater than 0.5
Answer:
no
Step-by-step explanation:
Answer:
No 0.485 is less than 0.5
0.485 < 0.50
A set contains five consecutive even integers . The least even integer in the 5 points set has a value of 14. Write all the elements of the set.
Answer:
14, 16, 18, 20, 22
Step-by-step explanation:
14 is the smallest of 5 consecutive integers.
The next larger even integer is 16, then 18, then 20, then 22.
Answer: 14, 16, 18, 20, 22
For each of the following quadrilaterals, Write all the properties that must be true. Four Right angles Only One pair of parallel sides Two pairs of parallel sides All sides congurantParallelogramSquareRhombus
Answer:
Step-by-step explanation:
THE PROPERTIES:
A. Four right angles
B. Only 1 pair of parallel sides
C. Two pairs of parallel sides
D. All sides congruent - all sides having the same shape and size
FOR A PARALLELOGRAM,
Property C applies
FOR A SQUARE,
Properties A, C and D apply
FOR A RHOMBUS,
Properties C and D apply
What's 10+10-5+10+5
Answer:
the answer is 30
Step-by-step explanation:
10+10=20-5=15+10=25+5=30
Answer:
30!
Step-by-step explanation:
A genetic test is used to determine if people have a predisposition for thrombosis, which is the formation of a blood clot inside a blood vessel that obstructs the flow of blood through the circulatory system. It is believed that 3% of people actually have this predisposition. The genetic test is 98% accurate if a person actually has the predisposition, meaning that the probability of a positive test result when a person actually has the predisposition is 0.98. The test is 97% accurate if a person does not have the predisposition. What is the probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition? (Round your answer to four decimal places.)
can someone pleaseee help me
Answer
13/4
Step-by-step explanation:
what is an algebraic word phrase for 49 + M
Answer:
slader
Step-by-step explanation:
42 ÷ [15 − (3 + 5)]
help me on this tricky problem
Answer:
6
Step-by-step explanation:
42 / [15 - (3 + 5)]
42 / [15 - 8]
42 / 7
Answer: 6
What is 9+(5x10)+1-(15x2)
Answer:
30
Step-by-step explanation:
=9 + 5 x 10 + 1 + -15 x 2 = ( 5 x 10 ) + ( −15 x 2) + ( 9 +1 ) = 5 x 10 + −15 x 2 + 10
Answer:
30
Step-by-step explanation:
9+(5x10)+1-(15x2)
First, we must evaluate the numbers in the parentheses. (5x10) is 50, and (15x2) is 30. Since we have the answers to that, we can now put the expression as: 9 + (50) + 1 - (30).
9 + (50) = 59
59 + 1 = 60
60 - (30) = 30
Therefore, the answer is 30.
Hope this helped!
An advocacy group claims that the mean braking distance of a certain type of tire is 75 feet when the car is going 40 miles per hour. In a test of 80 of these tires, the braking distance has a mean of 77 and a standard deviation of 5.9 feet. Find the standardized test statistic and the corresponding p-value.
Answer:
The calculated value t = 3.032 > 1.9904 at 5% level of significance
Step-by-step explanation:
Step(i):-
Given mean of the population 'μ'=75 feet
Given mean of the sample(x⁻) = 77
Given standard deviation of the sample(S) = 5.9
Given sample size 'n' =80
Step(ii):-
Test statistic
[tex]t=\frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t=\frac{77-75}{\frac{5.9}{\sqrt{80} } }[/tex]
t = 3.032
Degrees of freedom ν=n-1 = 80-1 =79
tabulated value = 1.9904 at 5% level of significance
The calculated value t = 3.032
Final answer:-
The calculated value t = 3.032 > 1.9904 at 5% level of significance
Astronauts who traveled to the moon were able to float slightly as they walked along its surface. Why wee the astronauts able to do this?
Answer:
C.
Step-by-step explanation:
the farther you get from Earth, the less the gravitational force i, so if your in space, you will have more weight next to earth than you will next to the moon.
ion 1(Multiple Choice Worth 2 points)
Find the area of the triangle with the given measurements. Round the solution
B = 107°, a = 10 cm, c = 22 cm
O 32.16 cm2
O 110 cm2
O 105.19 cm2
210.39 cm2
Answer:
105.19.
Step-by-step explanation:
Area = 1/2 ac sin B
= 1/2 * 10 * 22 * sin 107
= 105.19..
The perimeter of a certain rectangle is 16 times the width. The length is 12cm more than the width. Find the length of the rectangle. Show work.
Answer:
Step-by-step explanation:
width = w
length = 12 + w
Perimeter of rectangle = 2*length + 2*width since perimeter measures the distance around an object.
The perimeter of a certain rectangle is 16 times the width means 2 * (12 + w) + 2 *w = 16w
24 + 2w + 2w = 16w
24 + 4w = 16w subtract 4w from both sides
24 = 12 w divide both sides by 12
2 = w
width = 2 cm
length = 12 + 2 = 14 cm
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4 years, and standard deviation of 0.6 years. The 4% of items with the shortest lifespan will last less than how many years?
Answer:
7.35 years
Step-by-step explanation:
Given that :
mean = 8.4
standard deviation = 0.6
From the negative z tables, the corresponding data for 0.04 = -1.75
So, using the z-score formula:
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
[tex]-1.75 = \dfrac{x - 8.4}{0.6}[/tex]
-1.75 × 0.6 = x - 8.4
- 1.05 = x - 8.4
x = -1.05 + 8.4
x = 7.35 years
the shortest lifespan will last less than 7.35 years
∴ the longest 4% will have lifespans longer than x = 8.4 + 1.75(0.6)
= 9.45 years
What is the slope of the line that passes through the points (-6, 8) and (−16,33)? Write your answer in simplest form.
Answer:
[tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
[tex]\frac{change in Y}{change in X}[/tex]
plug in points:
[tex]\frac{8-33}{-6+16}[/tex]
[tex]\frac{-25}{10}[/tex]
Simplify:
[tex]-\frac{5}{2}[/tex]
the sum of three numbers is 116. The first number is 6 more than the third. The second number is 3 times the third. What are the numbers?NEED DONE ASAP
Answer:
107
Step-by-step explanation:
sum means addition so 3 + 6 = 9 116 - 9 = 107 hope it helps <3
Out of 270 racers who started the marathon, 247 completed the race, 14 gave up, and 9 were disqualified. What percentage did not complete the marathon?
Answer:
8.5%
Step-by-step explanation:
Total number of racers = 270
From the question, we have two categories who did not complete the race.
a. 14 that gave up
b. 9 that were disqualified
Total number of those who didn't complete race = 14 +9 = 23
To get the percentage of this group in the marathon:
= (23/270)*100
= 0.0851 *100
= 8.5percent
Si se reduce en 5 unidades de mil el número 23 657, ¿cuál número se obtiene? a) 23 607 b) 18 657 c) 23 157 d) 23 652
Answer:
a 23 607
Step-by-step explanation:
A copy machine makes 112 copies in minutes3 and30 seconds. How many copies does it make per minute?
Answer:
32
Step-by-step explanation:
It takes a total of 210 seconds to make 112 copies.
Divide 210 by 60 to get 3.5
(If you divide 210 by 3.5 you get 60 sec.)
Next, divide 112 by 3.5
The copy machine makes 32 copies in one minute.
Carissa counts by 5s from 32 to 62. Which number does carissa count?
Answer:
32, 37, 42, 47, 52, 57, 62.
Step-by-step explanation:
It is given that Carissa counts by 5s from 32 to 62.
It means, we have to add 5 in the number to get the next number.
Add 5 in 32.
[tex]32+5=37[/tex]
Now, add 5 in 37.
[tex]37+5=42[/tex]
Similarly, continue the process.
[tex]42+5=47[/tex]
[tex]47+5=52[/tex]
[tex]52+5=57[/tex]
[tex]57+5=62[/tex]
Therefore, the numbers counted by carissa are 32, 37, 42, 47, 52, 57, 62.
Answer:
It is 47
Step-by-step explanation:
Solve for the specified variable.
(c+d)
Solve Q=
for d.
2
Answer:
2Q -c = d
Step-by-step explanation:
Q= ( c+d)/2
Multiply each side by 2
2Q = ( c+d)/2 *2
2Q = ( c+d)
Subtract c from each side
2Q - c = c+d-c
2Q -c = d
Steps to solve:
Q = (c+d)/2
~Simplify
Q = 1/2c + 1/2d
~Subtract 1/2c to both sides
Q - 1/2c = 1/2d
~Divide 1/2 to both sides
d = 2q - c
Best of Luck!
There are a total of 55 people at a birthday party. There are three times as many kids at the party as parents, and there are five fewer grandparents than parents. Use the guess and check method to find out how many kids are at the birthday party?
Answer:
165
Step-by-step explanation:
Answer:
27
Answer:
Answer: