Answer:
25！=1*2*3*4*5*6*...23*24*25
26= 2*13
28=2*14or 4*7
36=2*18or 3*12 or 4*9
56=7*8
All products above are inside 25! So they are all factors of 25!
But 58=2*29 and 29 is not inside 25! so it's not a factor of 25!
Step-by-step explanation:
hope it helped
Answer:
n=25
Step-by-step explanation:
Let n be the greatest possible integer Jo could be thinking of. We know n<100 and n=8k-1=7l-3 for some positive integers k and l. From this, we see that 7l=8k+2=2(4k+1), so $7l$ is a multiple of 14. List some multiples of 14, in decreasing order: 112, 98, 84, 70, .... Since n<100, 112 is too large, but 98 works: [tex]$7k=98\Rightarrow n=98-3=95=8(12)-1$[/tex]. Thus,[tex]$n=\boxed{95}$[/tex].
Hope this helped! :)
Sam is 13 years old. His brother, Jonathan is 3 times as much as Sam is. His sister, Jayla is 2 times as much as Jonathan. How old is Jayla and Jonathan?
Ill give you brainliest if you answer the question correctly!
Answer:
Jonathan is 39
Jayla is 78
Step-by-step explanation:
13: Sam
? 1: Jonathan 3*sam
? 2: Jayla 2* Jonathan
13 * 3 = 39
Jonathan is 39
39 * 2 = 78
Jayla is 78
what is the equation?
Answer:
x=-4
Step-by-step explanation:
Jill weighs 15 lbs. Less than Ken. Pete weighs 50 lbs. More than Jill. Eddie weighs 18 lbs. Less than Pete. How much does each weight, if the sum of their weights is 597?
Answer:
Jill = 125lb
Pete = 175lb
Eddie = 157lb
Ken = 140lb
Step-by-step explanation:
Given
Represent Jill with J; Ken with K; Pete with P and Eddie with E
[tex]J = K - 15[/tex]
[tex]P = 50 +J[/tex]
[tex]E = P - 18[/tex]
[tex]J + K + P + E = 597[/tex]
Required
Determine the weight of each
Substitute 50 + J for P in [tex]E = P - 18[/tex]
[tex]E = 50 + J - 18[/tex]
[tex]E = J + 50 - 18[/tex]
[tex]E = J + 32[/tex]
Make K the subject in [tex]J = K - 15[/tex]
[tex]K = J + 15[/tex]
Substitute [tex]K = J + 15[/tex], [tex]E = J + 32[/tex], [tex]P = 50 +J[/tex] in [tex]J + K + P + E = 597[/tex]
[tex]J + J + 15 + 50 + J + J + 32 = 597[/tex]
Collect Like Terms
[tex]J + J +J + J = 597 - 32 - 50 - 15[/tex]
[tex]4J = 500[/tex]
[tex]J = 500/4[/tex]
[tex]J = 125lb[/tex]
Substitute 125 for J in [tex]P = 50 +J[/tex]
[tex]P = 50 + 125[/tex]
[tex]P = 175lb[/tex]
Substitute 175 for P in [tex]E = P - 18[/tex]
[tex]E = 175 - 18[/tex]
[tex]E = 157[/tex]
Substitute 125 for J in [tex]K = J + 15[/tex]
[tex]K = 125 + 15[/tex]
[tex]K = 140[/tex]
Please help due in 10 minutes
Daniel ran 5 kilometers in 40 minutes. Andy ran 4,550 meters in 37 minutes. Who ran faster?
Answer:Daniel is faster
Step-by-step explanation:
Daniel : 5 kilometers is 5000 meters.
5000 / 40 is 125 meters per minutes
Andy: 4550 divided by 37 is 122.97 which is 2.3 meters per minute slower than Daniel
find the range of the function f(x)=5-4x given the domain = {-1,0,1}
Answer:
I don't get what you are trying to say I think you need to put it in better understanding
The virus that causes the flu has a width of 0.00000013 m. Write the width of the flu virus in scientific notation.
A square has a perimeter of 20 1/2 feet. What is he length of one side?
Answer:
Square has a perimeter : P =4 x a => a = P/4 = 20.5/4 = 5.125 feet
Step-by-step explanation:
What is 27/75 in decimal?
What is 7/2 in decimal?
What is 3 1/5 in decimal?
Pls show ur work
The sum of two numbers is 40 and the difference is 16. What are the numbers?
Answer:
28 and 12
Step-by-step explanation:
The sum of two numbers is 40 and the difference is 16. What are the number? x+y=40 Substitute for x from above. (y+16)+y=40 Subtract 16 from each side.
The two numbers whose sum is 40 and difference is 16 are 28 and 12.
Let's denote the two numbers as x and y. We are given the following information:
x + y = 40 (equation 1)
x - y = 16 (equation 2)
To solve for x and y, we can use a method called elimination or substitution. Let's use the elimination method here.
Adding equation 1 and equation 2, we eliminate the y term:
(x + y) + (x - y) = 40 + 16
2x = 56
x = 28
Now we can substitute the value of x back into equation 1 to solve for y:
28 + y = 40
y = 40 - 28
y = 12
Therefore, the two numbers are 28 and 12.
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Rita used 3/4 cup of white sugar and 1/2
cup of brown sugar to make a cake. How
much sugar did she use in all?
We need to make the denominators equal for both fractions to figure out how much sugar was used in all.
3/4 + 1/2
We can multiply the numerator and the denominator by 1 for 3/4. We can multiply the numerator and the denominator by 2 for 1/2. Therefore, we will get 1.
3/4 + 1 = 1 3/4 OR 7/4
Answer is 7/4 or 1 3/4.
Also, please mark me as the brainliest and rate excellent.I need a lil help :) and explanation
Answer:
negative
Step-by-step explanation:
right-to-left is positive
left-to-right is negative
Answer:
Negative slope.
Step-by-step explanation:
When you try to determine the type of slope a graph shows, the direction of the line is really important. When a slope is positive, the line goes up in the right direction like this /. When a slope is negative, the line goes down to the right like this \. Undefined is when the line goes straight up and down and 0 is when the graph is straight across like this -. Therefore the graph is negative. Hope this helps :)
please help me on this will give you brainliest
Answer:
9/10 > 7/8
Step-by-step explanation:
The least common denominator (LCD) is: 40.
Rewriting as equivalent fractions with the LCD:
9/10 7/8
36/40 35/40
Comparing the numerators of the equivalent fractions we have:
9/10 7/8
36/40 > 35/40
Therefore, comparison shows:
9/10 > 7/8
<3
8 people share 3 sub sandwiches equally. What fraction of a whole sub does each person get?
Answer: 2 2/3 (two and two thirds)
Each person get 6 2/3 fraction of a whole sub.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now it is given that,
Number of people = 8
Number of sub sandwiches = 3
So, fraction of a whole sub does each person get = Number of people / Number of sub sandwiches
⇒ fraction of a whole sub does each person get = 8/3
or, fraction of a whole sub does each person get = 6 2/3
Thus, each person get 6 2/3 fraction of a whole sub.
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Plastic cups come in packages of 24 and straws come in packages of 20, whats the smallest number of each that could be bought so that you had the same amount of cups and straws? 200 240 120 480
Answer:
120
Step-by-step explanation:
No. of plastic cups = 24
No. of straws =20
We need to find the smallest number of each that could be bought so that you had the same amount of cups and straws.
Prime factrisation of 24 = 2×3×2×2
Prime factorisation of 20 = 2×5×2
LCM = 120
Hence, the smallest number of each type will be 120.
Equivalent expression 6(a+b)
Answer:
6a + 6b
Step-by-step explanation:
Select all the correct answers.
Which values are included in the solution set of this inequality?
2.12 – 1 > 61
I = -4
I = 3
0 1 = 1
o = 5
O r = -2
Answer:
Option A, Option D and Option E are correct options.
Step-by-step explanation:
We need to find solutions of the inequality: [tex]2x^2-1>6x[/tex]
We will check the options and see, which options satisfy the inequality.
Option A
x=-4
Put x=-4
[tex]2x^2-1>6x\\2(-4)^2-1>6(-4)\\2(16)-1>-24\\32-1>-24\\31>-24\:\:True[/tex]
So, x=-4 is the solution of inequality.
Option B
x=3
Put x=-3
[tex]2x^2-1>6x\\2(3)^2-1>6(3)\\2(9)-1>18\\18-1>18\\17>18\:\:False[/tex]
So, x=3 is not the solution of inequality.
Option C
x=1
Put x=1
[tex]2x^2-1>6x\\2(1)^2-1>6(1)\\2(1)-1>6\\2-1>6\\1>6\:\:False[/tex]
So, x=1 is not the solution of inequality.
Option D
x=5
Put x=5
[tex]2x^2-1>6x\\2(5)^2-1>6(5)\\2(25)-1>30\\50-1>30\\49>30\:\:True[/tex]
So, x=5 is the solution of inequality.
Option E
x=-2
Put x=-2
[tex]2x^2-1>6x\\2(-2)^2-1>6(-2)\\2(4)-1>-12\\8-1>-12\\7>-12\:\:True[/tex]
So, x=-2 is the solution of inequality.
So, Option A, Option D and Option E are correct options.
Zachary has $718 in his bank account and automatically withdraws $14 every month to pay for his computer service. Christian has $212 in his bank account and deposits $32 each month from his newspaper delivery tips. When will Zachary and Christian have the have amount of money in their bank accounts?
WHAT'S ALL THE TENSION ABOUT?
Answer:
where is the tension.......?
Step-by-step explanation:
F is a point on segment EG. If EF = 5 and EG
13, what is FG?
Answer:
8
Step-by-step explanation:
13-5
Help me i swear ill give brainlist
an owl travels 8 1/3 miles in 3/4 hour and a seagull travels 12 1/2 miles in 2/3 an hour. Which animal is faster?
Answer: The seagull is faster
Step-by-step explanation:
An owl travels 8 1/3 miles in 3/4 hour. The miles per hour of the owl would be:
= 8 1/3 ÷ 3/4
= 25/3 ÷ 3/4
= 25/3 × 4/3
= 100/9
= 11 1/9 miles pee hour
A seagull travels 12 1/2 miles in 2/3 an hour. The miles per hour of the seagull would be:
=12 1/2 ÷ 2/3
= 25/2 ÷ 2/3
= 25/2 × 3/2
= 75/4
= 18 3/4 miles per hour
Based on the calculation above, the seagull is faster.
Answer:
11 1/9 miles per hour<---- owls speed
I seagle is faster
Step-by-step explanation:
i just know bc i got it right on iready... :)
A science teacher ordered $3980 worth of microscopes and dissection kits for the new science lab. A total of 38 microscopes and 47 dissection kits were ordered. A microscope costs four times as much as a dissection kit. Write a system of linear equations that represents this situation. What is the cost of each item?
Answer:
Cost of a kit is $20
cost of a microscope is $80
Step-by-step explanation:
Here, we want to write a set of equations and solve
Let the cost of a microscope be $m while the cost of a kit be $k
Total cost of 38 microscopes will be 38 * m = $38m
Total cost of 47 kits = 47 * k = $47k
The sum of these is $3980
That will be;
47k + 38m = 3980 ••••••(i)
A microscope cost 4 times a kit
Mathematically;
m = 4k •••••••••(ii)
Substitute ii into i
47k + 38(4k) = 3980
47k + 152k = 3980
199k = 3980
k = 3980/199
k = $20
Recall;
m = 4k
m = 4 * 20 = $80
A rectangular swimming pool is twice as long as it is wide. A small concrete sidewalk surrounds the pool and is a constant 2 feet wide. The total area of the pool and sidewalk is 160 square feet. Find the dimensions of the pool
Answer:
The dimensions of the pool are:
Width: 8.944 feet
Length: 17.888 feet
Step-by-step explanation:
From Geometry, the area of a rectangle ([tex]A[/tex]), measured in square feet, is determined by the following equations:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width, measured in feet.
[tex]l[/tex] - Length, measured in feet.
If we know that [tex]w = x[/tex], [tex]l = 2\cdot x[/tex] and [tex]A = 160\,ft^{2}[/tex], then we get the following second order polynomial:
[tex]2\cdot x^{2}-160 = 0[/tex] (1)
And we solve the expression for [tex]x[/tex]:
[tex]2\cdot x^{2} = 160[/tex]
[tex]x^{2} = 80[/tex]
[tex]x = \sqrt{80}\,ft[/tex]
[tex]x \approx 8.944\,ft[/tex]
Then, the dimensions of the pool are, respectively:
[tex]w \approx 8.944\,ft[/tex] and [tex]l \approx 17.888\,ft[/tex]
I will mark you brainliest if you answer this question
Answer:
1: Size
2: Congruent
3: Proportional
Step-by-step explanation:
Hope that helped
Answer:
poopoopeepee
Step-by-step explanation:
PLEASE HELP! DUE SOON
Answer:
Yes. A is the correct answer. I did the work.
Step-by-step explanation:
Triangle DEF and triangle PQR are similar and have the same orientation. The hypotenuse of triangle PQR is on the same line as the hypotenuse of triangle DEF and is one-third the length of DF.What is the equation of the line that the hypotenuse of triangle PQR lies on? Y = x + On the hypotenuse of triangle PQR, if coordinate P is at point (2, -4), then coordinate R is at point ( , ).
Answer:
y= -2x and (3,-6)
Step-by-step explanation:
h
Multiply the following radicals (do NOT simplify)
2/4 x 4/6
Answer:
0.33333333333
Step-by-step explanation:
You divide 2÷4×4÷6= 0.33333333333
Answer:
8/24
Step-by-step explanation:
2/4 x 4/6
All you need to do is multiply from across
2*4 = 8 (numerator)
6 * 4 = 24 (denominator)
8/24
1= what as a fraction
Answer:
it could be 1/1 or 2/2 or 3/3 or 4/4 or 5/5 or 6/6 it is the same thing just put the number like how i did depending on the question
Step-by-step explanation:
(6x+1/2)+(2x-8 1/2)Simplify the expression.
Answer:
simplified = 8x - 8
Step-by-step explanation:
trust me :)
