Let's start with the smallest prime number 2
60/2 = 30
Divide that result over 2
30/2 = 15
We can't divide this by 2 because 15/2 = 7.5 isn't a whole number
Let's move onto 3
15/3 = 5
The result is a prime number, so we stop.
The values we divided as denominators were: {2, 2, 3}
We add the result 5 to the set to completely list all of the prime factors of 60
The prime factorization would be
60 = 2*2*3*5which is the same as saying
60 = 2^2*3*5
what is the length of AD, in centimeters?
Answer:
AD=2
Step-by-step explanation:
[tex]\frac{6}{12} =\frac{AB}{20} \\AB=\frac{6}{12} \times 20=10\\AD+DF+FB=10\\AD+6+FB=10\\AD+FB=10-6=4\\AD+AD=4 ( \because ~FB=AD )\\2AD=4\\AD=4/2=2[/tex]
Which line has a slope of 12 and a y-intercept of 2?
Answer:
This is the picture answer :)
Step-by-step explanation:
The equation of the line with the given slope and y-intercept is y=12x+2.
Given that, the slope of a line=12 and y-intercept=2.
What is the slope-intercept form of the line?Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.
Where, m=slope and b=intercept.
Now, substitute slope=12 and y-intercept=2 in y=mx+b.
That is, y=12x+2
Therefore, the equation of the line is y=12x+2.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
#SPJ6
graph the following lines y=2/3 x +4
Answer:
See attached graph.
Step-by-step explanation:
This equation is already in slope-intercept form.
This means the term next to the x is the slope, and the constant being added is the y-intercept.
We know that the y-intercept will be 4 because that’s the constant being added. We also know the slope is [tex]\frac{2}{3}[/tex].
A slope of [tex]\frac{2}{3}[/tex] will increase in x by 3, for every increase in y by 2.
This info can help us make the graph.
Hope this helped!
PLEASE PLEASE HELP VERY FAST
Answer:
y=4
Step-by-step explanation:
66 = 9y + 5y + 7 + 3
66 = 14y +10
subtract 10 from each side
56 = 14y
Divide 56 by 14, and you get 4 = y
I hope this helped!
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position. Explain your answer
Answer:
+9-22=-13
Step-by-step explanation:
Its 13 yrds lost
George bought 3 peppers for a cost of $0.40 each. How much will he pay for the peppers?
Answer:
Hey there!
Three peppers of 0.40 dollars each would be 0.4+0.4+0.4, or 1.2 dollars.
Hope this helps :)
The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2+ 3). If area = length × width, what is the length of the rectangle? x + 5 x – 15 x + 15 x – 5
Answer:
x - 5
Step-by-step explanation:
x^3 -5x^2 +3x -15 = x^2 +3 times length
therefore:
(x^3 -5x^2+3x -15)/(x^2 +3) = length
= x - 5
On a local sports team 90% of 50 players are right handed. . How many right handed players are there
Maddie ordered a square print of a photo that has an area of 9 square inches. What is the perimeter of the print?
Answer:
12 inches
Step-by-step explanation:
area of square is given by side ^2 = side * side
given
area of square print = 9 sq. inches
side ^2 = 9 sq. inches
[tex]\sqrt{side ^2} = \sqrt{9} \ sq. \ inches\\side = 3 \ inches[/tex]
Thus, side length of print is 3 inches.
Perimeter of square is given by 4*side
Perimeter of print is = 4*side = 4*3 inches = 12 inches answer
Solve 2x2 – 6x + 10 = 0 by completing the square.
Answer:
Step-by-step explanation:
2x^2-6x+10=0
2(x^2-3x)+10=0
2(x-(3/2))^2-9/4)+10=0
2(x-(3/2))^2+10-9/2=0
2(x-(3/2))^2+(20-9)/2=0
2(x-(3/2))^2+11/2=0
2(x-(3/2))^2=-11/2
square is always positive so there is no solution
The null hypothesis says that a sprinter's reaction time follows a normal distribution with mean at most 0.150 seconds. Six measurements of a sprinter's reaction time show 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds. What is the p value
Answer:
The P-value is 0.0353.
Step-by-step explanation:
We are given the six measurements of a sprinter's reaction time show below;
X = 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds.
Let [tex]\mu[/tex] = mean sprinter's reaction time
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] 0.150 seconds {means that the mean sprinter's reaction time is at most 0.150 seconds}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 0.150 seconds {means that the mean sprinter's reaction time is more than 0.150 seconds}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = ~
where, [tex]\bar X[/tex] = sample mean = [tex]\frac{\sum X}{n}[/tex] = [tex]\frac{0.939}{6}[/tex] = 0.1565 seconds
s = sample standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex] = 0.0068 seconds
n = sample of measurements = 6
So, the test statistics = [tex]\frac{0.1565-0.150}{\frac{0.0068}{\sqrt{6} } }[/tex] ~ [tex]t_5[/tex]
= 2.341
The value of t-test statistics is 2.341.
Now, the P-value of the test statistics is given by the following formula;
P-value = P( > 2.341) = 0.0353.
{Interpolating between the critical values at 5% and 2.5% significance level}
Anne creates necklaces and rings to sell. It takes her 3 hours to make a necklace and 1 hour to make a ring. If she makes 10 items in 2 standard 8-hour work days, how many necklaces and rings did Anne make during those 16 hours?
Asif makes a cuboid of plasticine of sides 75cm, 35cm and 21cm. How many such cuboids will he need to form a cube?
Answer:
The number of cuboids that will be needed to form a cube is 2625 cuboids
Step-by-step explanation:
To form a cube, we have;
The length = The height = The depth
The dimensions of the given cuboid = Length = 75 cm, the width = 35 cm, the depth = 21 cm.
Therefore;
The lowest common multiple of 75, 35, and 21, for the cuboid is given as follows;
75 = 5 × 5 × 3
35 = 5 × 7
21 = 3 × 7
Therefore, multiplying 75 by 7, we get;
75 × 7 = 525
Since 7, 5 and 3 are factors of 525, 35 and 21, can also be factors as we check;
525/35 = 15
525/21 = 25
Therefore, the cube will be;
The length of the cube will consist of 7 pieces of the cuboid, arranged with the side 75 cm facing the front
The depth of the cuboid will be 15 cuboids with the side 35 cm facing the sides
The height of the cuboid will be 25 cuboids with the side 21 cm high
The total number of cuboids is therefore;
7 × 15 × 25 = 2625 cuboids
The number of cuboids that will be needed to form a cube = 2625 cuboids.
Juana tiene en su tienda un costal con 28 libras de azucar.Hizo seis paquetes de 2,5 kg cada uno, de los cuales vendio cinco.¿Cuanta azucar quedo en el costal?
Answer:
Quedan 3 libras de azúcar en el costal.
Step-by-step explanation:
Una kilo es aproximadamente dos libras y dos libras y media equivalen a un paquete, para determinar la cantidad remanente de libras de azúcar luego de las ventas se calcula la masa vendida por regla de tres compuesta:
[tex]x = 5\,p \times \frac{2,5\,kg}{1\,p}\times \frac{2\,lb}{1\,kg}[/tex]
[tex]x = 25\,lb[/tex]
Juana vendió 25 libras de azúcar. Entonces, la masa remanente de azúcar en el costal es:
[tex]x = 28\,lb-25\,lb[/tex]
[tex]x = 3\,lb[/tex]
Quedan 3 libras de azúcar en el costal.
The total amount of sugar left in the sack is 3 pounds.
Using the conversion:
1 kg = 2lb
2.5kg =5lb
If she sold 5 pounds out of the total package, the amount of pounds sold will be 5 * 5lb = 25lb.Amount of sugar left in the sack = Total - amount sold
Amount of sugar left in the sack = 28lb - 25lb
Amount of sugar left in the sack = 3lb
Learn more on conversion here: https://brainly.com/question/11207931
Subtract:
30−2.11
8.80
27.89
27.99
32.11
Answer:
27.89
Step-by-step explanation:
It is 27.89 because if you subtract 2 from 30 you get 28 and 28- 0.11 is 27.89
solve the inequality 5x - 4 > 4 - 3x
Answer:
x>1
Step-by-step explanation:
5x - 4 > 4 - 3x
Add 3x to each side
5x+3x - 4 > 4 - 3x+3x
8x -4 > 4
Add 4 to each sdie
8x-4+4 > 4+4
8x> 8
Divide each side by 8
8x/8 >8/8
x > 1
Step-by-step explanation:
5x-4>4-3x
5x+3x>4+4
8x>8
8x/8>8/8
x=1
Jimmy is celebrating his 16th birthday at Pew-Pew Laser Tag. His parents have budgeted $600 for his birthday party. If the laser tag company charges a $40 clean up fee and $25 per person, find the greatest number of people that Jimmy can invite and still stay in his budget.
Answer:
$600 - $40 = $560
$560/ $25 = 22.4
this means he can have up to a total of 22 people at his party
i dont understand how to do this
Question #2 Answer: 76
Calculate 4 to the power of 3 and get 64.
64−(−3)381+9≈76
Calculate −3 to the power of 3 and get −27.
64−−2781+9=76
Divide 81 by −27 to get −3.
64−(−3)+9=76
The opposite of −3 is 3.
64+3+9=76
Add 64 and 3 to get 67.
67+9=76
Add 67 and 9 to get 76.
76
---------------------------------------------------------------
Question #3 Answer: -4
Calculate 2 to the power of 4 and get 16.
16−324−12=−4
Divide 24 by 3 to get 8.
16−8−12=−4
Subtract 8 from 16 to get 8.
8−12=−4
Subtract 12 from 8 to get −4.
−4
A florist is making blue and white flower arrangements. He has 24 blue carnations and 36 red carnations. Each arrangement has the same number of blue carnations and the same number of red carnations. He uses all the flowers to make the greatest number of matching arrangements.
There should be __ total arrangements. ( 2, 4, 6, 12 )
He should include __ blue carnations in each arrangement. ( 2, 4, 6, 12 )
He should include __ red carnations in each arrangement. ( 2, 3, 4, 6 )
Answer:
12 arrangments, 2 blue carnations in each arrangement, 3 red carnations in each arrangment.
Step-by-step explanation:
We can find the gcd of 24 and 36, getting 12.
Therefore, there should be 12 total arrangements.
There are 24 blue carnations:
24 / 12 = 2 blue carnations in each arrangement.
There are 36 red carnations:
36 / 12 = 3 red carnations in each arrangment.
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.) midpoint (-4,13) endpoint-(0,5)
Answer:
end point of a segment X₂ = - 8 ; Y₂ = 21
Step-by-step explanation:
given;
midpoint = ( Mx = -4 , My = 13 )
endpoint ₁ = ( X₁ = 0 , Y₁ = 5 )
find the other endpoint ₂ ( X₂ , Y₂)
use the mid point formula to get the other endpoint:
Mx = ( X₁ + X₂ ) / 2 My = ( Y₁ + Y₂ ) / 2
- 4 = (0 + X₂) / 2 13 = (5 + Y₂) / 2
-8 = 0 + X₂ 26 = 5 + Y₂
X₂ = -8 Y₂ = 21
Find two numbers between 3.456 and 3.457
Answer:
3.4567
3.4568
Step-by-step explanation:
We need to find a number between 3.456 and 3.457. In order to do so, we need to dive deeper into the decimal to get numbers in-between.
We need to dive to the ten-thousandths place to get numbers between the two.
Write the inverse of f (x) = 6x
f -1(x) =
Answer:
f-1(x) = x/6
Step-by-step explanation:
y = 6x
--> x = y/6
rewrite : (substitute x for y and y for x to get the reverse function)
y = x/6
find 5 rational numbers between 1/3 & 2/5
Answer:
41/120, 7/20, 43/120, 11/30, 3/8
Step-by-step explanation:
Write the numbers.
1/3 & 2/5
We need a common denominator, but not the least common denominator. Both 3 and 5 are factors of 60, so let's use 60 as the common denominator.
Multiply 1/3 by 20/20:
1/3 = 20/60
Multiply 2/5 by 12/12:
2/5 = 24/60
Let's multiply each fraction again, but this time by 2/2.
1/3 = 40/120
2/5 = 48/120
Now it's easy to find 5 numbers between 40 and 48, so we get:
41/120, 42/120, 43/120, 44/120, 45/120
Some of these fractions can be reduced, so our answer is:
41/120, 7/20, 43/120, 11/30, 3/8
If have 492.08 how much do you have to save up to get 754 I need this asapppp
Which statement is true? Group of answer choices 8.01 is a smaller increase in sales then 8.001. A debt of $17 is a larger value than a debt of $20. LaTeX: \frac{2}{3} 2 3 below zero is a lower temperature than 6 below zero. One half an apple is equivalent to 8 fourths apples.
Answer: The only true statement is:
" A debt of $17 is a larger value than a debt of $20."
Step-by-step explanation:
Let's analyze the options:
A) " 8.01 is a smaller increase in sales then 8.001"
Here you can see the difference:
8.01 - 8.001 = 0.009
The difference is positive, then 8.01 > 8.001.
Then as we are talking of increases in sales, the numbers are positive, then we have that 8.01 is a larger increase in sales than 8.001.
B) "A debt of $17 is a larger value than a debt of $20."
A debt is written as a negative number, then:
A debt of $17 is written as -$17, and a debt of $20 is written as -$20.
Then -$17 is a smaller negative number than -$20
-$17 > -$20
Then this statement is true.
C) " 2/3 bellow zero is lower than 6 bellow zero"
ok, 2/3 bellow zero is: -2/3
6 bellow zero is: -6
-2/3 is larger than -6
-2/3 > -6
then -6 is lower than -2/3, the statement is false.
D) "1/2 of an apple is equivalent to 8/4 apples"
Well, here you can do the quotients:
1/2 = 0.5
8/4 = 2
So these numbers are not equivalents.
For the following system, if you isolated x in the first equation to use the substitution method, what expression would you substitute into the second equation? −x + 2y = −6 3x + y = 8
Answer:
[tex]x=2y+6[/tex]
Step-by-step explanation:
So we have the system:
[tex]-x+2y=-6\\3x+y=8[/tex]
If we isolate the x-variable in the first equation:
[tex]-x+2y=-6[/tex]
Subtract 2y from both sides:
[tex]-x=-6-2y[/tex]
Divide both sides by -1:
[tex]x=2y+6[/tex]
Therefore, we would substitute the above into the second equation:
[tex]3x+y=8\\3(2y+6)+y=8[/tex]
The answer is 2y+6
Further notes:
To solve for the system, distribute:
[tex]6y+18+y=8[/tex]
Simplify:
[tex]7y+18=8[/tex]
Subtract:
[tex]7y=-10[/tex]
Divide:
[tex]y=-10/7\approx-1.4286[/tex]
Now, substitute this value back into the isolated equation:
[tex]x=2(-10/7)+6\\x=-20/7+42/7\\x=22/7\approx3.1429[/tex]
Step-by-step explanation:
Start by solving the equation for x (☓)
[tex] - x + 2y = 6 \\ \: \: \: \: \: 3 + y = 8[/tex]
[tex]x = 6 + 2y[/tex]
Substitute the given value of x for the equation 3 + y = 8[tex]3(6 + 2y) + y = 8[/tex]
solve the equation for y[tex]y = - \frac{10}{7} [/tex]
substitute the given value of y into the equation x = 6 + 2[tex]x = 6 + 2 \times ( - \frac{10}{7} )[/tex]
solve the equation for x[tex]x = \frac{22}{7} [/tex]
The possible solution of the system is the ordered pair (x,y)[tex] (\frac{22}{7} . - \frac{10}{7} )[/tex]
The dot (.) in the center is supposed to be a comma but the scientific keyboard does not support a comma[tex](x.y) \: \: ( \frac{22}{7} . - \frac{10}{7} )[/tex]
This is the solution Marnie out!Why is 7.8 an irrational number?
Answer: It is a rational number
Step-by-step explanation:
any number that can be written in the form of fraction is rational number (or as the a decimal that has a end or repeating decimal are rational number)
7.8=39/5
Hope this helps!! :)
Please let me know if you have any question
Solve 2x^2+x=15.!!!!
Isolate the variable by dividing each side by factors that dont contain variables
Answer: x=3
The graph below shows the eye color for a classroom of students.
Answer:
it is Greater than because blue and green combined equal to 12
5/16 as a decimal..?
Answer:
0.3125
Step-by-step explanation:
type that into a calculator