Answer:
First son receives $15000
Second son receives $8000
Third son receives $7000.
Step-by-step explanation:
Let first son receive $x and deposit it at 7%
Second son receive $y and deposit in 8%
Third son receive $z and deposit in 6%
Now, let's set up equation using the given information.
The second son share is 1000 more than the third son.
So, we can set up equation as
y= 1000+z
First son share is equal the second son and the third son put together.
So, x=y+z
And we can set up equation for total 30000 as
x+y+z=30000
Plug in y as 1000+z and x as y+z
We get third equation as
y+z+1000+z+z=30000
Plug in again y as 1000+z
It gives,
1000+z+z+1000+z+z=30000
Combine like terms,
2000+4z=30000
Subtract both sides 2000
4z=28000
Divide both sides by 4
z=7000
Now, plug in z as 7000 into y=1000+z to get y =8000
Now, x =y+z plug in the y and z values
x= 8000+7000=15000
Let's check with interest,
15000(7%)+8000(8%)+7000(6%)=2110
1050+640+420= 2110
2110=2110.
Yes! The calculations are correct!
The given line segment has a midpoint at (3,1). What is the equation in the slope intercept form of the perpendicular bisected of the given line segment
Answer:
The ANswer Is A
Step-by-step explanation:
I took The quiz
HALP?????????????????????????????????????plz
Answer:
Start menu- A)
Taskbar- E)
Quick Launch-D)
System tray- B)
Icons-C)
Step-by-step explanation:
Answer:
1. Icons-------->pictures that represent applications, files, or folders.
2. Quick Launch---------->list of items that can be opened by clicking on their names.
3. Start menu----------->shows the programs that are always running.
4. System Tray---------->place where frequently used programms can be opened.
5. Taskbar--------->displays open application or files.
Step-by-step explanation:
I pretty much explained it in the answer. :)
Probability a bag of miniature candy’s contain 15 crunch bars 14 Hershey’s chocolate bars 10 Mr.Goodbars 12 Hershey’s cookies and cream bars. What is the probability of randomly choosing each of them ?
15:51 for Crunch bars
14:51 for Hershey's
10:51 for Mr. Goodbars
12:51 for Cookies and Cream
There are 51 candies in total. We got that by adding all of the candies together. 15 + 14 + 10 + 12 = 51. The probability can be written as a ratio between the different types of candy and the whole number.
The probability of crunch bars, Hershey’s chocolate bars, Mr.Goodbars, and Hershey’s cookies and cream bars are 15/51, 14/51, 10/51, and 12/51, respectively.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability can be written as,
P(Crunch bars) = Number of Crunch bars/ Total number of choclates= 15/51
P(Hershey's Chocolate) = 14/51
P(Mr. Goodbars) = 10/51
P(Hershey’s cookies and cream bars) = 12/51
Hence, the probability of crunch bars, Hershey’s chocolate bars, Mr.Goodbars, and Hershey’s cookies and cream bars are 15/51, 14/51, 10/51, and 12/51, respectively.
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Write an equation of the line that passes through the point (6, 3) and is perpendicular to y=-1/3x+ 12.
y=3x+12
y=x+5
y=-1/3x+5
y=-1/3x+12
Answer:
A: [tex]y=3x+12[/tex]
Step-by-step explanation:
To start we need to know what makes lines perpendicular. Two perpendicular lines will have opposite-reciprocal slopes, because we know that they intersect at a right angle.
Then, we need to understand the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. We also know that [tex]x[/tex] and [tex]y[/tex] represent points on the line.
Now, since our equation is already in the correct form, we can start with finding the opposite reciprocal of the slope. To do this, all we have to do is flip the fraction upside down and multiply by -1. This means that the opposite reciprocal of [tex]-\frac{1}{3}[/tex] would be [tex]\frac{3}{1}[/tex] which can be written as [tex]3[/tex].
Now, since we have a list of options and only one has the correct slope, we can safely choose option A.
b)
1 + sin^4A ÷cos^4A = 1 + 2tan^2A.sec^2A
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
tan²x + 1 = sec²x
Consider the left side
[tex]\frac{1+sin^4A}{cos^4A}[/tex]
= [tex]\frac{1}{cos^4A}[/tex] + [tex]\frac{sin^4A}{cos^4A}[/tex]
= [tex]sec^{4}[/tex] A + [tex]tan^{4}[/tex] A
= (tan²A + 1)² + [tex]tan^{4}[/tex] A
= [tex]tan^{4}[/tex] A + 2tan²A + 1 + [tex]tan^{4}[/tex] A
= 1 + 2tan²A + 2[tex]tan^{4}[/tex] A ← factor out 2tan²A
= 1 + 2tan²A(1 + tan²A)
= 1 + 2tan²A sec²A
= right side , thus verified
Which one doesn't belong, and why?
1/2,5/3,2/10,2/5
Answer:
5/3
Step-by-step explanation:
5/3 doesn't belong because each denominator for the other numbers are all factors of 10 (I think thats how you say it)
Hope this helps
An equation for a line that is perpendicular to the line given by y=-2 and passes through the point (5,6)
Answer:
y - 6 = 1/2 (x - 5)
Step-by-step explanation:
Point slope equation: y-y₁ = m(x-x₁)
replace
x₁ = 5,
y₁ = 6,
m = 1/2 (perpendicular means opposite reciprocal)
Describe any patterns/relationships that you notice between the Powers of 10, the expressions, what they equal (standard form), or amount of zeros in the product. Try to use math vocabulary in your explanation below. You may use examples to support your response.
Answer:
The powers of 10 are things of the form:
10^n.
Where we assume that n is an integer number.
if is equal or larger than 0, then:
We add n zeros at the right of the 1.
so let's write some examples.
10^0 = 1 (we do not add any zero)
10^1 = 10 (we add one zero)
10^2 = 100 (we add two zeros)
...
Now, remember that x^-y = 1/x^y, then:
If n is smaller than zero, then we add n zeros at the left of the 1.
10^-1 = 1/10 = 0.1 (one zero at the left)
10^-2 = 1/100 = 0.01 (two zeros at the left).
Those relations will be useful to always know the exact dimensions of the powers of zero.
Now, we can give a more complete description knowing that:
x^a*x^b = x^(a + b)
Then if we have:
10^3*10^4 = 100*1,000 (and this may be hard to do)
But we can use the above relation:
10^3*10^4 = 10^(3 + 4) = 10^7
Then we know that we must add 7 zeros at the right of the 1.
And this will work for any integer powers of 10.
true or false 4. If the area of a rectangle is 6 m2, then the dimensions must be 2 meters by 3 meters.
Answer:
yes the answer is true
Step-by-step explanation:
the length of the rectangle is given 2 m
the breadth of the rectangle is given 3 m
so the area of the rectangle = length * breadth
= 2m*3m
=6m^2
hence proved
hope you like the answer
marks brainliest
hurry up !
The area of the rectangle is [tex]6m^2.[/tex]
Given that,
The area of the rectangle is [tex]6m^2[/tex]The dimension should be 2 meters by 3 meters.Now as we know that
The area of the rectangle is
[tex]= length \times breadth\\\\= 2 \times 3\\= 6m^2[/tex]
Therefore we can conclude that The area of the rectangle is [tex]6m^2.[/tex]
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Edison
Edison's first light bulb stayed
lit for 40 hours. Today a
typical light bulb can stay lit
for 1,000 hours. How many of
Edison's light bulbs would burn
out before one of today's light
bulbs burns out?
Answer:
25 light bulbs
Step-by-step explanation:
You just divide 1000 by 40
im not sure b right or wrong?
Answer:
Yes That is right. B is correct
Step-by-step explanation:
Answer:
37 is what percent of 76? = 48.68
Step-by-step explanation:
Convert fraction (ratio) 37 / 76
You would get...
0.48684210526
B is correct
for every 2 cara you wash your friend washes 5 cars if you wash 6 cars how many cars does your friend wash
Answer:
15 cars
Step-by-step explanation:
2 = 5 so 4 = 10 and 6 = 15
if syn spends 15 minutes running, he burns 200 calories. how long would it take Syn to burn 150 calories?
Answer:
11.25minStep-by-step explanation:
In this problem, we first need to find the rate at which syn burns calories per minute
so in 15mins, he burns 200 calories
in 1 mins he will burn x
x= 200/15
x=13.33 calories per min this is the rate
So in one minute he will burn 13.33 calories
Now using the idea of rate=quantity/time
the rate=13.33
quantity=15 calories
time=?
time=quantity/rate
time=150/13.33
time=11.25min
Alternatively
(very fast approach)
if syn spend 15min to burn 200 cal
then he will spend x min to burn 150 cal
cross multiply
x=(150*15)/200
x=2250/200
x=11.25mins
Match the graph with the correct equation
A: Y= X - 3
B: Y= X + 3
From: SLOPE-INTERCEPT FORM: PART 1
7,5 move 4 units left and 1 unit down
Answer:
(3,4)
Step-by-step explanation:
Answer:
4,3
Step-by-step explanation:
What’s 7/10 Equivalent to put it in fraction
Answer:
i think this is what u want
Step-by-step explanation:
please mark brainliest
Answer:
nvm im wrong its wat the other girl or boy said
There are 2 friends chasing one another. They are 80
feet apart. Caroline is chasing after Sam. Sam runs at
a speed of 22 feet per second and Caroline runs at a
speed of 31 feet per second. How many seconds will it
take for Caroline to catch Sam?
Answer:
8.9 seconds
Step-by-step explanation:
When caroline catches sam after some time lets say t
distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart.
Given
Let the time taken by Caroline to catch sam is t seconds
distance covered by Caroline in t seconds = speed of caroline*t
distance covered by Caroline in t seconds = 31 * t
distance covered by Caroline in t seconds = 31t feet
distance covered by sam in t seconds = speed of sam*t
distance covered by sam in t seconds = 22 * t
distance covered by sam in t seconds = 22t feet
distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart and caroline catches her in t seconds
thus,
distance covered by Caroline in t seconds = distance covered by sam in t seconds + 80 feet
31t = 22t + 80
subtracting 22t from both sides
=> 31t - 22 t = 80
=> 9t = 80
=>t = 80/9 = 8.9 seconds
Thus,
it will take 8.9 seconds for Caroline to catch Sam
Find the distance between the two points (-1,0) (-8.4)
Answer:
d = 8.062258
Step-by-step explanation:
=(−8−(−1))2+(4−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=(−7)2+(4)2‾‾‾‾‾‾‾‾‾‾‾‾√
=49+16‾‾‾‾‾‾‾√
=6‾√5
=8.062258
Stacey jogs every third day and swims every fourth day. If she jogs and swims on Monday, what is the next day of the week she will end up jogging and swimming.
Answer:
Saturday
Step-by-step explanation:
First we have to find the LCM of 3 and 4
It is 12, so we know that she will jog and swim every 12 days
This time was Monday, so 12 days after Monday will be the day she both jog and swims.
12 days after Monday is Saturday, so the next time she jogs and swims is Saturday.
Hope this helped
Sorry if it's wrong
:)
ILL MARK U BRILLIANT PEASE I NEED HELP! the independent variable of a relationship represents the hours someone is driving and the dependent variable represents the number of miles, what does the ordered pair (2,100) represent?
Answer:
x or 2= amount of hours someone is driving and y or 100= the number of miles
Step-by-step explanation:
Sarah is training for a bike race. She rides her bike 5 3/4miles in 1/3hour. What is Sarah’s rate in miles per hour? Express your answer as a mixed number.
Answer:
3 31/76
Step-by-step explanation:
5 3/4 multiplied by 3 = 3 31/76
hope this helps
How do I solve this?? Please help! Find the measure of the indicated angle.
Answer:
This is a tough one, I see why you are confused. The answer would be 50
Step-by-step explanation:
I used process of elimination and working backwards
First I took the first option (50) and added 10. Then divided it by 5 to isolate the X value. I plugged the X value into the (11x+3) and got 135. The missing angle is 45. 50+45+85=180
Hope this helped!
try to help at least
Answer:
Graph 1: Lang
Graph 2: Sharayah
Graph 3: Caleb
Graph 4: Tierra
Step-by-step explanation:
Graph 1 y-intercept: 2
Graph 2 y-intercept: -2
Graph 3 y-intercept: -3
Graph 4 y-intercept: 3
Graph 1: Positive
Graph 2: Negative
Graph 3: Positive
Graph 4: Negative
help pls i’m just guessing i don’t understand
Answer:
70
Step-by-step explanation:
Since the angle 2 is alternate angle to angle 6,they are both equal. So, the angle 6 is 70.
what is the square root of 96 in simplest form
Answer:
Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.
Step-by-step explanation:
A team of runners is needed to run a 1/3-mile relay race. If each runner must run 1/9 mile, how many runners will be needed?
Answer:
3 Runners
Step-by-step explanation:
WHOEVER ANSWERS FIRST WILL GET BRAINLIEST!
IF YOU DON'T ANSWER FIRST YOU DON'T GET BRAINLIEST
Answer:
38 cm
Step-by-step explanation:
it makes the most sense
Answer: Id have to say 40mm
following
3x + 10 = 17
Answer:
x=7/3
Step-by-step explanation:
A rectangle has a height of 3c^43c
4
3, c, start superscript, 4, end superscript and a width of c^2-4c+3c
2
−4c+3c, squared, minus, 4, c, plus, 3.
Answer:
Step-by-step explanation:
The area of rectangle is 3[tex]c^{6}[/tex]-12[tex]c^{5}[/tex] + 9[tex]c^{4}[/tex].
What is area of rectangle?The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension.
Area of a Rectangle. A = l × b.
Given:
height = 3[tex]c^{4}[/tex]
width = c² - 4c +3
So, Area of rectangle
=length * width
= 3[tex]c^{4}[/tex] * (c² - 4c +3)
=3[tex]c^{6}[/tex]-12[tex]c^{5}[/tex] + 9[tex]c^{4}[/tex]
Hence, the area of rectangle is 3[tex]c^{6}[/tex]-12[tex]c^{5}[/tex] + 9[tex]c^{4}[/tex].
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Your question is incomplete, probably the complete question/missing part is:
A rectangle has a height of 3[tex]c^{4}[/tex] and a width of c² - 4c +3. Express the area of the entire rectangle.
Khalid purchased 4 items at the dollar store. He was surprised that the total did not equal $4.00. Brian did not realize that the store required 5 1/2% sales tax. How much was Brian’s total bill including sales tax?
Answer:
B. $4.22
Step-by-step explanation:
51/2 % can be put into decimal form as 0.055
To find what 5 1/2% of $4 is you simply need to multiply 4 by 0.055
which makes $0.22
add that to $4 and you have your answer