Answer:
The value of the missing digit is 6.
Step-by-step explanation:
When a number is divisible by 9, the sum of the digits must be 9 or a multiple of 9.
Given digits = 6785∆4
the sum of the digits = 30 + ∆
30 + ∆ = 36
∆ = 36 - 30
∆ = 6
Thus, the value of the missing digit is 6.
Kareem heats a beaker of water to a boil. Then he records that the water temperature decreases from 100°C to 19°C in 5 and 2/5 minutes.
What was the change in temperature each minute? Enter your answer in the box.
Answer:
Step-by-step explanation:
2/5min=24 sec
5 min=300 sec
total=324 seconds
the water decreased 100-19=81 degrees
81/324=0.25 degrees/second
the change in temperature was 0.25 degrees per second
we will multiply by 60
15 degrees per minute
A store pays $100 for a barbecue grill and marks the price up by 7%. What is the amount
of the mark-up?
Answer:
$7
multiply .07 times 100
An oatmeal cookie recipe calls for 1/2 cup of butter to make 5 dozen cookies. Wyatt needs to make 12 dozen cookies for the bake sale. How many cups of butter will he need? Enter your answer as a reduced improper fraction.
wyatt will need _____ cups of butter ?
Answer:
1 1/4
Step-by-step explanation:
For 12 dozen cookies, 5/6 cups of better are needed.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.We have a oatmeal cookie recipe that calls for 1/2 cup of butter to make 5 dozen cookies. Wyatt needs to make 12 dozen cookies for the bake sale.
1/2 cup butter is needed for 5 dozen cookies.
For 1 dozen cookies, (1/2)/5 = (1/10) cups of better are needed.
For 12 dozen cookies, 10/12 cups or 5/6 cups of better are needed.
Therefore, for 12 dozen cookies, 5/6 cups of better are needed.
To solve more questions on graphs, visit the link below -
https://brainly.com/question/28972673
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What is the 50th term of the arithmetic sequence 32, 27, 22, 17, 12
Answer:
5n - 27
n
5 because you minus 5 each time
27 because 32-5=27
(5×50) -27=
223
I need some help please
Answer:
a) -10
b) 7
Step-by-step explanation:
a) [tex]2(x + 3) = x - 4[/tex]
[tex] = > 2x + 6 = x - 4[/tex]
[tex] = > 2x - x = - 4 - 6[/tex]
[tex] = > x = - 10[/tex]
b) [tex]4(5x - 2) = 2(9x + 3)[/tex]
[tex] = > 20x -8 = 18x + 6[/tex]
[tex] = > 20x - 18x = 8 + 6[/tex]
[tex] = > 2x = 14[/tex]
[tex] = > x = \frac{14}{2} = 7[/tex]
Answer:
a)-10 b)7
Step-by-step explanation:
a)2 ( x + 3 ) = x - 4
2x+6=x-4
2x+6-x=-4
x+6=-4
x=-4-6
x=-10
b)4 ( 5 x - 2 ) = 2 ( 9 x + 3 )
20x-8=2(9x+3)
20x-8=18x+6
20x-8-18x=6
2x-8=6
2x=6+8
2x=14
x=14/2
x=7
Aisha is spending a week at her family's cottage and wants to read her favourite book, which is 400 pages long. A) If she reads one page every 36 seconds, how many hours will it take her to read her book? B) Suppose Aisha only reads from 10:15 a.M. To 2:10 p.M., and from 7:20 p.M. To 9:00 p.M. Each day, starting on Monday. On what day and at what time will she finish reading her book? C) Aisha decides to read a second book that is 350 pages in length, starting right after finishing her first book. If she continues to read at the same speed, then when will she finish her second book?
Answer:
A) 4 hours
B) 7:25 PM on the same Monday.
C) 12:10 PM on Tuesday.
Step-by-step explanation:
Given that:
Number of pages in the first book = 400
A) Time taken to read each page = 36 seconds
To find the number of hours taken to finish reading the book, we need to first find the number of seconds taken to finish reading the book.
Time taken by Aisha to finish reading 400 pages = 400 [tex]\times[/tex] 36 = 14400 seconds
3600 seconds = 1 hour
14400 seconds = [tex]\frac{1}{3600}\times 14400[/tex] hours = 4 hours
B) Reading timings of Aisha :
1st time = 10:15 AM to 2:10 PM i.e. a duration of 3 hours and 55 minutes
2nd time = 7:20 PM to 09:00 PM i.e. a duration of 1 hour and 40 minutes
4 hours are taken to read this book.
So, it will require 5 more minutes after the 1st reading time.
Therefore, Aisha will finish reading at 07:25 PM on same Monday.
C) Second book has 350 pages.
Time taken to read 350 pages = [tex]\frac{350\times 36}{3600}[/tex] = 3.5 hours
She starts reading at 07:25 PM on Monday.
Up to, 9 PM, a duration of 1 hour and 35 minutes will be utilized for reading the second book.
A total of 1 hour and 55 minutes more will be required.
Therefore, the second book reading will be finished at 12:10 PM on Tuesday.
34.7 divided by 4 HELP ME PLZZZZZ
Answer:
347/40
Step-by-step explanation:
34.7/4 = 34 7/10 / 4
= 347/10 / 4
= 347/40
Petra jogs 2 miles in 24 minutes. At this rate, how long would it take her to jog 12 miles?
Answer:
144 minutes or 2 hours and 24 minutes
Step-by-step explanation:
12 miles divided by 2 miles = 6
24 * 6 - 144
So the final answer is 144.
Answer: 144 minutes
Step-by-step explanation:
If she can run 2 miles in 24 minutes and she needs to run 12 miles you need to multiple 24 and 6 ( You get a six because 24 minutes is for TWO miles. So you need to split the 12 in half.)
Hi. I need help with these questions (see image)
Please show workings.
Answer a and b
Answer:
see explanation
Step-by-step explanation:
Using the chain rule along with standard derivatives
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
[tex]\frac{d}{dx}[/tex] (sinx) = cosx , [tex]\frac{d}{dx}[/tex] (cosx) = - sinx
(a)
y = sin x²
[tex]\frac{dy}{dx}[/tex] = cos x² × [tex]\frac{d}{dx}[/tex] (x² )
= cos x² × 2x
= 2xcosx²
(b)
y = cos4x³
[tex]\frac{dy}{dx}[/tex] = - sin4x³ × [tex]\frac{d}{dx}[/tex] (4x³ )
= - sin4x³ × 12x²
= - 12x²sin4x³
What is the equation of the line whose y-intercept is 3 and slope is 1?
O y=x-3
O y=x+3
O y= 3x+1
Answer:
y = x + 3
Step-by-step explanation:
y = mx + b
m is the slope
b is the y intercept
if m = 1 and b = 3 then
y = x + 3
Byron and Cari are best friends. Byron wants to give a collage photo frame to Cari on her birthday. He measures the photo frame at 12 inches by 18 inches. He wants to cover the photo frame with a golden cloth at a cost of $7 per square inch. How much will it cost for Byron to cover his photo frame?
Answer:
The answer is $1512.
Step-by-step explanation:
First, multiply 12 by 18, you get 216. Then multiply that by 7, you get 1512. Bryon will need $1512 to cover his photo frame.
Will give brainliest please help!!
Which expression is equivalent to 5.5x + 1-(1,5x+17)?
Answer:
4x - 16
Step-by-step explanation:
X can be any value (I made it 20)
5.5(2)+ 1 - (1.5(2) +17)
11 + 1 - 20
12 -20
-8
4(2) - 16
8 - 16
-8
You better say thanks (from a grade 9 academic student)
Answer:
4x-16
Step-by-step explanation:
5.5x + 1-(1,5x+17)?
When there's a - in front of an expression in parenthesis, cvhangethe sign of each term in the expression.
5.5+1-1.5x-17
Like terms
4x + 1-17
Then boom 4x-16
A triangle has sides with lengths of 16 millimeters, 20 millimeters, and 25 millimeters. Is it a
right triangle?
Answer:
No
Step-by-step explanation:
If it is a right triangle, then the Pythagorean theorem must work.
a^2 + b^2 = c^2 (a and b are the shorter sides and c is the longest)
16^2 + 20^2 = 25^2
256 + 400 = 625
656 = 625
This is not true
Hope this helps!
7. If P = [5,6,7,8). Q = (2,4,6,8) and
R=2, 3, 7, 9), then P nQnR=
Answer:
pnQnR= {}
Step-by-step explanation:
there is no number common in set P, set Q and set R.
So the answer is null
{}
Answer:
{} there is no number common to the three sets so it is an empty set
Step-by-step explanation:
find the midpoint and distance between each pair of points, with easy explanation and work !! will give brainliest.
(-1,-4) , (-7,4)
The Paint Factory has 500 different colors of interior paint from which to choose. Generate an equivalent expression using prime factorization for the number 500.
a)2 x 2 x 5 x 25
b)4 x 5 x 25
c)2 x 2 x 5 x 5 x 5
please hurry
Answer:
The answer is C.
Step-by-step explanation:
The simplest form is C.
Answer:
c)2 x 2 x 5 x 5 x 5
[tex]500 \\ \frac{500}{5} = 100 \\ \frac{100}{5} = 20 \\ \frac{20}{2} = 10 \\ \frac{10}{2} = 5 \\ \frac{5}{5} = 1\\ [/tex]
Rewrite the denominators
2 x 2 x 5 x 5 x 5
IM BEGGING YOU PLEASE HELP I WILL GIVE BRAINLIEST!!!!
Which proportion could be used to solve for the length of the pond?
Answer: The second answer.
Step-by-step explanation:
f(x)=x^3+9x^2+23x + 15
calculate the cost of 15 articles at 1.95 each
Answer:
29.25
Step-by-step explanation:
15x1.95= 29.25
Hope this helps :)
if 1 article = 1.95
then if u want to find how much 15 articles = to
you just have to multiply 1.95 * 15 which is equal to 29.25
hope this helps
:)
An archeologist has found a fossilized leg bone of some unknown mammal. Based on the size of the bone, she determines that it should have contained about 100 g of carbon-14 when the animal was alive. Knowing that the half-life of carbon-14 is 5730 years, write an equation that will model how much carbon-14 is left in the bone now after "t" years.
Answer:
Therefore, required equation is N = 100 x [tex]2^{- \frac{t}{5730 }[/tex]
Step-by-step explanation:
According to the question it is given that
Amount of carbon atom when animal was alive is [tex]N_0[/tex] = 100g
Half life of C-14 is 5730 years
Let 'N' be the amount of carbon atom present after 't' time
since the differential equation of decay process of radioactive atom is
[tex]\frac{dN}{dt} = \lambda N[/tex] where, λ is the decay constant
on solving this we get
[tex]N = N_0 e^{-\lambda t}[/tex]
on further solving and substituting [tex]\lambda = \frac{ln2}{T_{1/2}}[/tex] we get
[tex]N = N_0 2^{- \frac{t}{T_{1/2}} }[/tex]
on substituting the value of [tex]N_0[/tex] = 100g and [tex]T_{1/2}[/tex] = 5730 we get
N = 100 x [tex]2^{- \frac{t}{5730 }[/tex]
what is the answer to 8x equals 16?
Answer: x = 2
[tex]8x=16[/tex] Original Equation
[tex]\frac{8x}{8}=\frac{16}{8}[/tex] Divide both sides by 8
[tex]x=2[/tex] Simplify
A c ompany purchased 3,128 bottles of water.Each departments needs 55 bottles.Which compatible numbers provide a better estimate for the number of departments that can get the bottles needed 3,000 divided 60 or 3,000 divided 50? Explain.Then make the estimate.
Answer:
3,000 divided 60 are the compatible numbers, and the estimate is 50.
Step-by-step explanation:
Compatible numbers can be described as numbers which are close in value to the actual numbers and can easily be added, subtracted, multiplied, or divided mentally.
From the question, 3,000 divided 60 are the compatible numbers that provide a better estimate for the number of departments that can get the bottles because 55 can be rounded up to 60.
The estimate will therefore be as follows:
Estimate = 3,000 / 60 = 50
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Step-by-step explanation:
i suppose you are looking for the expanded and simplified form
We can use Pascal's triangle to perform this
According to Pascal's triangle,
1
1 1
1 2 1
So, 1•3x²+2•3x•1/x+1•1/x²
3x²+6x/x+1/x²
3x²+6+1/x²
Eight people went to a movie and three of them purchased a drink. Write an expression you could use to solve for the total cost if the tickets are $12 each and the drinks are $2.50 each.
Answer:
The expression : 12x + 2.50y
Total cost = $103.5
Step-by-step explanation:
The number of people that went to the movie = x
Number of people that bought drinks = y
Total cost = 12x + 2.50y
Eight people went to a movie and three of them purchased a drink
Total cost = 12 × 8 + 2.50 × 3
Total cost = 96 + 7.5
Total cost = $103.5
solve the linear equation
9x-2x+6=4x+3x+11-5
Answer:
Undefined
Step-by-step explanation:
0=0
Answer:
0
Step-by-step explanation:
Combine the like terms 9x-2x = 7x
Subtract the numbers 11-5 = 6
Combine the like terms again 4x+3x = 7x
Subtract 6 from both sides of the equation 6-6 = 0 6-6 = 0
Simplify 7x = 7x
Result 0
if f(x)= x3 -7÷2 find f-1 (x)
Answer:
The inverse of given function is
[tex]f^{-1} ( x ) = (2x+7)^{\frac{1}{3} }[/tex]
Step-by-step explanation:
Explanation:-
Given function
[tex]f(x) = \frac{x^{3}-7 }{2}[/tex]
let y = f(x)
[tex]y = f(x) = \frac{x^{3}-7 }{2}[/tex]
⇒ 2 y = x³ - 7
⇒ 2y +7 = x³
⇒ [tex]x = ( 2 y +7 )^{\frac{1}{3} }[/tex]
⇒[tex]f^{-1} ( y ) = (2y+7)^{\frac{1}{3} }[/tex]
The inverse of given function is
[tex]f^{-1} ( x ) = (2x+7)^{\frac{1}{3} }[/tex]
Help please!!
Which of the following triplets are possible lengths of line segments that could form a triangle with its vertices at their endpoints? Select the two correct answers
A. 5, 5, and 5
B. 7, 7, and 4
C. 6, 6, and 12
D. 8, 1, and 3
E. 3, 4, and 8
Answer:
A and B
Step-by-step explanation:
A triangle is a triangle if the sidelengths, a, b, c, in increasing order, satisfy the condition that a+b > c
only A and B satisfy that condition
work out (5 x 10^3) x (9 x 10^7)
Step-by-step explanation:
5×10³) × (9×10^7)
= 45 × 10^10
= 4.5 × 10¹¹
Answer:
(5*10^3)*(9*10^7)=4.5*10^11
Step-by-step explanation:
5*10^3=5*1000=5000
9*10^7=9*10000000=90000000
5000*90000000=5*1000*9*10000000=5*9*10000000000=45*10000000000=450000000000, or 45 with 10 0's, or 10^10
45*10^10 is not simplified, as we need a number less then 10, so we divide 10 from 45, and add 1 to the exponent, getting 4.5*10^11
PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!V
Answer:
12+12+14+15+16+18+20+23=130
130÷8=16.25
aanswer=16
you move 89 as its anomalous
too higher than the other numbers
What is the solution of the system of equations?
{3x−12y=−72x+2y=1
Answer:
i think 9
Step-by-step explanation:
i not sure