Answer:
fourteen thousand five hundred and eighty seven point twenty five.
Step-by-step explanation:
The given number is 14587.25.
We need to write it in standard form.
7 is in ones place, 8 is in tens place, 5 is in hundreds place, 4 is in thousands place and 1 is in ten-thousands place.
So,
14587.25 = fourteen thousand five hundred and eighty seven point twenty five.
You currently have a balance of $34 in your checking account. You then write a check for $76 dollars to pay for groceries. Finally, you deposit a check for $30.
What is your new balance?
Answer:
Correct me if I'm wrong but I'm sure it's -12
Step-by-step explanation:
34+30= 64
64-76= -12
A workbench for a motorcycle is in the shape of parallelogram IJKL. The motorcycle is
raised and lowered as the angles of the parallelogram change. Which statement is
correct?
ZJ and ZL are supplementary
ZJ and ZK are congruent.
65° K
ZJ and ZK are supplementary
ZI and ZL are congruent.
Answer:
J and K are supplementary
Step-by-step explanation:
Given
The attached image
Required
The true statement
From the attached image, it is hard to determine the values of angles I and L as there are no enough information to determine their values.
However, J and K can be worked easily.
From the image
[tex]J = 65^o[/tex] --- vertically opposite angles
And:
[tex]K + 65^o = 180^o[/tex] ---- angle on a straight line
Substitute: [tex]J = 65^o[/tex]
[tex]K + J = 180^o[/tex]
When two angles add up to 180, the angles are supplementary.
Hence, (c) is correct
Can someone help with this
Answer: 28
Step-by-step explanation: ADB = 1/2 ACB
Y=4x pls help pls help
Answer:
(1,4) , (3,12) , (5,20)
Step-by-step explanation:
You should put the first number in X and find the second number from equation.
100 + 50
i'll date you if you answer this;)
Answer:
150
Step-by-step explanation:
100 + 50 = 150
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Joey has 2/3 of a gallon of ice cream. He divides the ice cream for his friends so that 1/9 of a gallon is in each bowl. How many bowls will he use?
A. 6
B. 1/6
C. 27
D. 1/9
Answer:
Joey will use 6 bowls.
Step-by-step explanation:
We have to divide to solve.
What is [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] ?
When you divide fractions you just multiply by the reciprocal (the fraction flipped.)
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex]
[tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex] = [tex]\frac{18}{3}[/tex]
[tex]\frac{18}{3}[/tex] = 6
Joey will use 6 bowls.
Find the equation of the line with Slope = 3 and passing through (4, 10) .write your equation in the form y=mx+b
given 12 consecutive integers in how many ways can three of these integers be selected to give a sum which divides by 4?
There are [tex]55[/tex] ways of these integers be selected to give a sum.
Given that:
It has [tex]12[/tex] consecutive integers .
Now,
Definition of consecutive integers :
" Consecutive integers are the integers that follow in the fixed sequence .
Consecutive integers is represented by [tex]n,n+1,n+2,n+3,....[/tex] where [tex]n[/tex] is an integer."
By given :
we have [tex]12[/tex] consecutive integers .
Thus,[tex]n=1[/tex] and substitute the equation is,
[tex]1,(n+1),(1+2),(1+3),(1+4),(1+5),(1+6),(1+7),(1+8),(1+9),(1+10),(1+11)\\\\\implies 1,2,3,4,5,6,7,8,9,10,11,12[/tex]
Now,
Split all the integers into 4 equal parts,
Part 1: Those integers are divisible by [tex]4[/tex] and the remainder be 0.
Then,
[tex]a=0(mod 4)[/tex]
Part 2: Those integer producing the remainder [tex]1[/tex] when it is divisible by [tex]4[/tex].
Then,
[tex]a=1(mod 4)[/tex]
Part 3: Those integer producing the remainder [tex]2[/tex] when it is divisible by[tex]4[/tex].
Then,
[tex]a=2(mod 4)[/tex]
Part 4: Those integer producing the remainder [tex]3[/tex] when it is divisible by[tex]4[/tex].
Then,
[tex]a=3(mod4)[/tex]
Since, three of these integers be selected to give a sum which divides by [tex]4[/tex] is,
In any 12 consecutive integers there are [tex]12\div4[/tex]
i.e. exactly 3 numbers of each category of mod4 namely ,
[tex]0(mod4), 1(mod4), 2(mod4), 3(mod4)[/tex]
Thus, the total combinations of above [tex]5[/tex] categories of sets of [tex]3[/tex] integers are
All the 3 numbers are [tex]0(mod4)[/tex][tex]3C_1=3(1)=3[/tex]
One number be [tex]0(mod4)[/tex] and other two numbers are [tex]2(mod4)[/tex][tex]3C_1*3C_2=3(1)*3=9[/tex]
One number [tex]0(mod4)[/tex] and other numbers [tex]1(mod4)[/tex] & [tex]3(mod4)[/tex][tex]3C_1*3C_1*3C_1=3*3*3=27[/tex]
Two numbers be [tex]1(mod4)[/tex] and one number be [tex]2(mod4)[/tex][tex]3C2 * 3C1 = 3*3 = 9[/tex]
One number be [tex]2(mod4)[/tex] and two numbers be [tex]3(mod4)[/tex][tex]3C1 * 3C2 = 3*3 = 9[/tex]
Thus, sum of the total ways be [tex]12[/tex] consecutive integers of three integers is divisible by 4 is,
[tex]3+9+27+9+9=55[/tex]
Hence, it has [tex]55[/tex] ways.
For more information,
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Pa help po plssssss
Sana po meron Ang maka-sagot ☺️☺️
Answer:
The answer is below
Step-by-step explanation:
a) the volume of the pit = length * width * depth = 9 dm * 6 dm * 7 dm = 378 dm³
Hence to fil the pit, 378 dm³ of sand is needed.
b) Volume of the room = length * width * height = 2.3 m * 0.59 m * 3.74 m = 5.08 m³
The cabinet would occupy 5.08 m³ of space.
c) volume = length * width * height
210 dm³ = 3.5 dm * 6 dm * width
width = 210 dm³ / (3.5 dm * 6 dm) = 10 dm
d) Volume of the room = length * width * height = 15 m * 15 m * 15 m = 3375 m³
The stockroom has a space of 3375 m³
e) volume = length * width * height = 5 dm * 5 dm * 5 dm = 125 dm³
The container has a space of 125 dm³
f) volume = length * width * height = 41 cm * 13 cm * 24 cm = 12792 cm³
The box has a space of 12792 cm³
g) volume of prism = length * width * height
72 m³ = 4 m * 3 m * length
length = 72 m³ / (4 m * 3 m) = 6 m
h) volume = length * width * height = 8 cm * 8 cm * 8 cm = 512 cm³
The figure has a volume of 512 cm³
i) volume = length * width * height = 5 ft * 2 ft * 3 ft = 30 ft³
The cabinet has a space of 30 ft³
the area of a square is 196m2. What is the length of one side
Answer:
14
Step-by-step explanation:
Simply take the square root of 196.
Hope that this helps!
Answer:
The side length is 14 m
Step-by-step explanation:
The formula for the area of a square is A = s^2, where s represents the length of one side.
If A = s^2 = 196m^2, we find the side length by taking the square root of both sides:
s = √(196 m^2) = 14 m
The side length is 14 m
Need help with practice problem please
Helppppp which one is it?
..A tin of paint was 2/3 litres full. Tom used 1/2 of
the paint to paint his table. How much was left ?
Multiply the amount of paint started with by the amount used:
2/3 x 1/2 = (2 x 1) / (3 x 2) = 2/6 = 1/3
There is 1/3 liter left
Data with 950 observations are drawn from a bell-shaped distribution with a mean of 78 and a standard deviation of 19. Approximately how many observations are more than 116
Answer: there are 22 observations that are more than 116.
Step-by-step explanation:
Let x be the random variable.
Given: Sample size = 950
Mean = 78
Standard deviation = 19
The probability that the observations are more than 116 is given by :-
[tex]P(X>116)=P(\dfrac{X-mean}{standard \ deviation}>\dfrac{116-78}{19})\\\\=P(Z>2)\\\\=1-P(Z<2)\\\\=1-0.9772\ \ \ [\text{Using p-value calculator}]\\\\=0.0228[/tex]
Number of observations are more than 116 = [tex]0.0228\times950[/tex]
[tex]=21.66\approx22[/tex]
Hence, there are 22 observations that are more than 116.
Consider function g.
6,
-8 < x <-2 2
g(x) =
0,
-2
-4, 4 < x < 10
What are the values of the function when x = -2 and when r = 4?
gl-2)
=
3
g(4)
=
N
[tex]x = - 2 \: then \: g( - 2) = 0 \\ x = 4 \: then \: g(4) = - 4.[/tex]
Hence, The values of the function when x = -2 is g(x) = 0 and x = 4 is
g(x) = - 4.
What is composite function?A composite function is created when one function is substituted into another function.
Given
Composite Function g
g(x) = 6, -8 ≤ x ≤ -2
g(x) = 0, -2 ≤ x ≤ 4
g(x) = -4, 4 ≤ x ≤ 10
The values of the function when x = -2
x is between -2 and 4
g(x) = 0, -2 ≤ x ≤ 4
Thus, The values of the function when x = -2 is g(x) = 0
The values of the function when x = 4
x is between 4 and 10
g(x) = -4, 4 ≤ x ≤ 10
Thus, The values of the function when x = 4 is g(x) = - 4
Hence, The values of the function when x = -2 is g(x) = 0 and x = 4 is
g(x) = - 4.
Learn more about composite function here
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on a tv game show,omar needs answer 7 out of every 10 questions correctly. There will be 30 questions in all
What is the answer. I need it ASAP u have to choose 3 answers
Một hộp đựng 10 phong bì bốc thư trúng thưởng trong đó 3 phong bì đựng 500 nghìn 7 phong bì đựng 100 nghìn. Bốc ngẫu nhiên liên tiếp hai phong bì. Nếu biết phong bì thứ hai có 500 nghìn, tìm xác xuất để phong bì đầu tiên cũng có 500 nghìn?
I can't understand tell me in english
HW HELP ASAP PLZZZZZ
Answer:
3
Step-by-step explanation:
I think its 3 because when we add 2 to x the graphic must be continue two step to right
ASAP!!! Use the relationships in the diagrams below to calculate the the values of the variables if possible part. B
Answer: y = 57°;
Angle Values: 66° and 114°.
Step-by-step explanation:
The sum of the corresponding angles is 180°.
y + 9 + 2y = 180
3y = 180 - 9
3y = 171
y = 57
Angle Values:
57° + 9° = 66°
57° · 2 = 114°
∫▒〖e^2x dx〗= ???? thanks
Answer:
Step-by-step explanation:
I=∫e^2x dx
put 2x=t
2dx=dt
dx=dt/2
I=1/2∫e^t dt
=1/2 e^t+c
=1/2 e^{2x}+c
find the equation of the line perpendicular to the given line, through the given point x=-3; (1,8)
Answer:
y = 8
General Formulas and Concepts:
Algebra I
Coordinates (x, y)
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify
[Line] x = -3
Point (1, 8)
Step 2: Find Perpendicular Line
A vertical line's slope is undefined.
The negative reciprocal of an undefined slope is 0.
Define perpendicular slope: m = 0Substitute in m [Slope-Intercept Form]: y = 0x + bSimplify: y = bGiven point (1, 8), our y-value is equal to 8.
∴ the perpendicular line is y = 8.
Which expression can be modeled using the number line?
Answer:
7 x 1/10 = 7/10
Step-by-step explanation:
There are 7 "bumps" on the number line, and each "bump" moves the line 1/10.
This can also be modeled as
1/10 + 1/10 + 1/10 +1/10 +1/10 +1/10 +1/10 = 7/10
Find a mathematical model for the below statement. (Use k for the constant of proportionality.) The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses and inversely proportional to the square of the distance r between the objects.
Answer:
[tex]F = k\frac{m_1m_2}{r^2}[/tex]
Step-by-step explanation:
Direct proportional:
Multiplication
Inverse proportional:
Division
The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses
This means that:
[tex]F = k\frac{m_1m_2}{}[/tex]
Inversely proportional to the square of the distance r between the objects.
Denominator is [tex]r^2[/tex]. Thus:
[tex]F = k\frac{m_1m_2}{r^2}[/tex]
Evaluate -2yx - 4y what's the answer
Answer:
-2y (x+2)
Step-by-step explanation:
remove greatest common factors.
both terms have a (y) and a (-2)
Answer:
-2y ( x - 2 )
Step-by-step explanation:
- 2yx - 4y
factor out -2y from the equation
-2y ( x - 2 )
Thể tích của khối cầu có bán kính 3a bằng
Answer:
[tex]36\pi {a}^{3} [/tex]
Step-by-step explanation:
Volume = [tex] \frac{4}{3} \times \pi \times (r)^{3} [/tex]
[tex] \frac{4}{3} \times \pi \times {3a}^{3} [/tex]
[tex] \frac{4\pi}{3} \times {3}^{3} [/tex]
[tex] \frac{4\pi}{3} \times 27[/tex]
[tex] \frac{4\pi}{3} \times (3(9))[/tex]
[tex]4\pi \times 9[/tex]
[tex]36\pi {a}^{3} [/tex]
Hope it is helpful...the average of students is 15 years if the age of a teacher is included their average becomes 18 years .what is the age of the teacher ?
Answer:
21; the age of the teacher
Step-by-step explanation:
15+x/2=18
Estimate - I estimated in the 20's because it only averaged up a little bit
Started with 23 and kept going until i got to my answer
21
15+21/2
36/2
18
Please mark brainliest :)
A business is interested in employees’ job satisfaction. The regional manager places a name card for every employee into a bowl and randomly selects 10 cards. Which sampling method was used?
cluster sampling
simple random sampling
stratified random sampling
systematic random sampling
Answer:
B
Step-by-step explanation:
Answer: simple random sampling
AKA: B
Step-by-step explanation: guy above me is correct :)
Show number that 0.245 is Rational number
Answer:
A rational number is one that may be represented in the manner p/q.
245/1000 = 0.245
Step-by-step explanation:
Marina spent 1/5 of her money on a book. If she had $80 left after she brought the book, how much money did she have originally?
Answer:
Marina had 50$ originally
Step-by-step explanation:
80-1/5 of the money she spent for the books that she brought, The step by step process is how much money she had left behind from the books she brought seperate
Answer:
$100
Step-by-step explanation:
Step 1, setting up an equation:
If Marina spent [tex]\frac{1}{5}[/tex] of her money, she has [tex]\frac{4}{5}[/tex] of her money remaining. We also are given that she has $80 left. We can set her initial total amount of money as x to solve this problem:
[tex]\frac{4}{5}x=80[/tex]
Step 2, solving for x:
[tex]\frac{4}{5}x=80\\\\4x=400\\\\x=100[/tex]
We have set x as her original amount of money, so we have the answer!
Marina originally had [tex]\fbox{100}[/tex] dollars.
I hope this helps! Let me know if you have any questions :)