25. Steve's family traveled 3/4 the distance that Mike's family traveled. If Steve's family traveled 18 miles, how far
did Mike's family travel?
Answer:
13.5 miles
Step-by-step explanation:
For this problem you need to find 3/4 of 18. 18x3/4 = 54/4, or 13.5
The total number of miles Steve's family traveled is 24 miles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Steve's family traveled 3/4 the distance that Mike's family traveled.
Let the total number of miles Steve's family traveled be x.
Now, 3/4 ×x=18
3x=72
x=72/3
x=24 miles
Therefore, the total number of miles Steve's family traveled is 24 miles.
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Mohan opened a Recurring deposit Account in a bank for five year and deposite 100 RS every month. If the rate of interest 6% per annum them how much money will he get after 5 years.
Answer:
☼︎Information Provided:
Mohan opened a Recurring deposit Account in a bank for five yearsHe deposited Rs.100 every monthRate of interest is 6% per annum☼︎What we have to calculate :
How much money will he get after 5 years?☼︎Using Formulas :☼︎Maturity value:-
[tex]\boxed{\sf{\longmapsto \: M.V. \: = \: P \times \: n \: + \: I }}[/tex]
☼︎Interest:-[tex]\boxed{\sf{\longmapsto \: I\: = \: P \times \: \frac{n(n + 1)}{2 \times 12} \: + \: \dfrac{r}{100} }}[/tex]
☼︎In both the formulas,
P is Principaln is number of monthsr is rate of interest☼︎Performing Calculations :
Finding out the interest by substituting the values in the given formula of calculating the interest~
☼︎Number of months :
☼︎We know that,1 year = 12 months5 years = 12 × 5 months5 years = 60 months☼︎We have :
P is 100r is 6%n is 60☼︎Putting the values :
[tex] \: \tt { \longmapsto \: I \ \: = \: 100 \times \dfrac{60(60 + 1)}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]
[tex]\: \sf{I \: = \:100 \times \dfrac{60(61)}{2 \times 12} \: \times \: \dfrac{6}{100} } [/tex]
[tex]\: \sf{I \: = \:100 \times \dfrac{60 \times 61}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]
[tex] \: \sf{I \: = \: 100 \times \dfrac{3660}{24} \: \times \: \dfrac{6}{100} }[/tex]
[tex] \: \sf{I \: = \: \dfrac{3660}{ \cancel{24}} \: \times \: \cancel {6}}:⟼I=243660×6[/tex]
[tex]: \longmapsto \: \sf{I \: = \: \dfrac{3660}{4}}[/tex]
[tex]: \longmapsto \: \sf{I \: = \: \cancel\dfrac{3660}{4}}[/tex]
[tex]: \longmapsto \: \boxed{ \mathfrak \green{{I \: = \: 915} }}[/tex]
☼︎Now, putting the values in formula of M.V. :
[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]
[tex]... \: \sf{\longmapsto \: M.V. \: = \: 100 \: \times \: 60 + \: 915}[/tex]
[tex] ... \sf{ \longmapsto\: M.V. \: = \: 6000 + \: 915}:[/tex]
[tex]... \longmapsto \: \boxed{\pink{\sf{M.V. \: = \mathfrak {6915}}}}:[/tex]
[tex]\underline{\bf{Hence \: he \: would \: get \: Rs.6915 \: after \: 5 \: years}}[/tex]
[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]
☼︎Additional InformationInterest (I) received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is
[tex]\bold{ \red{\boxed{\text{I} = \text{P} \times \dfrac{ \text{n(n + 1)}}{24} \times \dfrac{ \text{r}}{100} }}}[/tex]
Maturity Value (MV)
Received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is also given by
[tex]\begin{gathered} \pink{\boxed{\rm{ MV \: = \: \text{P} \: + \: I \: }}} \\ \end{gathered}[/tex]
[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]
Answer
Rs.6915after5yearsAmanda needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off 1 3/4 feet from one end of the board. She then cuts the remaining section of board into 4 equal pieces.
1 3/4x−4=10
1 3/4x+4=10
4x−1 3/4=10
4x+1 3/4=10
Answer: 4x+1 3/4=10
Step-by-step explanation: Took the test. Plus you can check to see if it equals to - 10 = 10 by replacing x with 2 1/16. Example: 4 * 2 1/16 + 1 3/4 =10. So 10 = 10 is a true match.
The given case can be represented as the equation 4x + 13/4 = 10.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
Given that,
The length of board = 10 feet.
The length of piece that is cut first = 13/4 feet.
Suppose the length of each remaining piece cut into four equal parts is x feet.
Now, the expression for the total length of the board can be given as the sum of the total length of the remaining piece and the the piece that is cut first.
In mathematical form it can be written as,
4x + 13/4 = 10
Hence, the equation for the given case is 4x + 13/4 = 10.
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I have 12 seats on a rollers coaster. 4 green, 4 red, 4 blue. What is the probability a rider will sit in a green seat
Answer:
1/3 probability
4 + 4 + 4 = 12
4/12 = 1/3
Step-by-step explanation:
-2*(-4)*9 what's the proper order
Question 3 of 15
Parvati goes to the movies with $16 in her wallet. She buys
a ticket for $6.25 and two snacks for $2.25 each. How
much money does she have left?
No links plsss remember no links pls
'D'
本题已由中国数学会官方解答(现有会员:3人)
D.
[tex]16 - (6.25 + 2 \times 2.25)[/tex]
What is the largest expense an individual will have?
1) hourly wage
2) tips
3) taxes
4) net income
Answer:
Answer
4)net income
Step-by-step explanation:
answer
I don’t understand this
Answer:
there is no answer without picture
Step-by-step explanation:
sorry cant answer
Please explain how to solve. Will give brainly if you actually answer the question question
Answer:
C. 3y/4x²
Step-by-step explanation:
12x/2y*3y²/24x³=12/2*3y/24x²
=6*y/8x²
=6y/8x²
=3y/4x²
George bought 30 packs of football card store 14 cars in each pack how many cross the gorge by
Answer:420
Step-by-step explanation:
Brainlest if it correct
A plane flew at a constant speed between Denver and Chicago. It took the plane 1.5 hours to fly 915 miles
How far does the plane go in 1 hour?
how far would the plane fly in t hours at this speed?
how far would the plane fly in 3 hours at this speed? in 3.5 hours?
[tex]610 \times t = d[/tex]
Step-by-step explanation:
Find how much it travels in 1 hour.
[tex]915 \: \: divided \: \: by \: \: 1.5 = 610[/tex]
2. Turn it into a equation
610 x t = dwell I try my best
hope it helps!Help help math please help help help
Answer:
no
Step-by-step explanation:
As all angles are 60∘ each and given all sides are equal then it can be said as congruent.
Tolong bantu saya nanti saya bantu kamu kalo bisa
Answer:
C. -8
Step-by-step explanation:
x≥-48/5; ⇔ x≥-8.8, then
the smallest integer is -8.
3t - 17 if t = 100
HELPPPPP
Answer:
283
Step-by-step explanation:
Plug in 100 for t in the equation.
First multiply 3 by 100 to get 300.
Then do 300-17 to get 283
Answer:
The Answer is 283
Step-by-step explanation:
Substitute t for 100
100*3=300
300-17=283
final Answer: 283
given a=(a1,a2,a3)
b= (b1, b2,b3)
c=( c1, c2, c3) )
solve : a×(b×c)
We are given three vectors each one has its own coordinates. We need to be careful when we multiply two vectors.
For example, b × c = (b1,b2,b3)×(c1,c2,c3) = (b1c1,b2c2,b3c3)
Finally a×(b×c) = (a1b1c1,a2b2c2,a3b3c3)
Good Luck
Solve and graph the inequality 16x<-64
Answer:
75 po ang sagot
Step-by-step explanation:
pa brailess 1x po pls
Answer:
x < -4
-64/16 = -4
Follow the steps to solve the equation. Solve 3 sqrt x^2-7= 3 sqrt 2x+1
To solve the given equation,________ both sides.
100 points
Answer:
x = -2,4
(disclaimer plugging in -2 will give an imaginary number)
Step-by-step explanation:
3[tex]\sqrt{x^2-7}[/tex]=3[tex]\sqrt{2x+1}[/tex]
Divide both sides by 3
[tex]\sqrt{x^2-7}[/tex]=[tex]\sqrt{2x+1}[/tex]
Square both sides to cancel square roots
[tex]x^2-7=2x+1[/tex]
Move all the terms to the left side
[tex]x^2-2x-8=0[/tex]
Use the quadratic formula
[tex]x=\frac{2 +/- \sqrt{(-2)^2-4(1)(-8)}}{2(1)}[/tex]
which gives x= -2,4
OR factor the quadratic
(x-4)(x+2)=0
x= -2,4
The solution of the equation 3 sqrt x^2-7= 3 sqrt 2x+1 is, x = -2,4
(disclaimer plugging in -2 will give an imaginary number)
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
3√x²-7=3√2x+1
Divide both sides by 3
√x²-7=√2x+1
Square both sides to cancel square roots
x²-7=2x+1
Move all the terms to the left side
x^2-2x-8=0
Use the quadratic formula
x=2±√2-4(-8)/2
solving we get,
which gives x= -2,4
OR factor the quadratic
(x-4)(x+2)=0
x= -2,4
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Provide the reason. for 100 pts
Answer:
Substitution property of equality
Step-by-step explanation:
m<5=90°[tex]\\ \sf\longmapsto m<2+m<5=180[/tex]
Substitute m<5[tex]\\ \sf\longmapsto m<2+90°=180°[/tex]
Answer:
Substitution property of equality
Step-by-step explanation:
from y² + 5 y - 7, subtract y² - 3 y - 4n
12. Write and solve the equation modeled below
Does anyone know this?
Answer:
5√2
Hope this helps!
Consider 3x=y . Complete the table for the equation
Answer:
x | y
0 | 3
1 | 6
2 | 9
Step-by-step explanation:
what is 25 + 3000000
Answer:
Step-by-step explanation:
Is 3000025
Step-by-step explanation:
25+ 3000000= 3,000,025
Slope of the line that passes through (5,7) and (7,8)
Answer:
0.5
Step-by-step explanation:
To find the slope, you just have to do (y-y₁) / (x-x₁) where x and y are from the same point and x₁ and y₁ are from the same point. So just substitute in the values to get (7 - 8) / (5 - 7) which is -1 / -2 which is 1/2 or 0.5.
Gordon won the lottery and distributed the prize among his children. Peter received
22% of the prize, Amy received 23% and John and Mary split the rest remaining in
equal parts. If Mary received $14,000, what was the lottery prize worth? Solve the
problem by first formulating an equation(s)/inequality.
Answer:
x= 14000/0.55
Step-by-step explanation:
X×(1-0.22-0.23)= 14000
X-0.22-0.23x= 14000
0.55=14000
X= 14000/0.55
sorry if it doesn't help and I'm not sure if it's right
Please Help (100 points)!!
9514 1404 393
Answer:
P(E') = 12/13
Step-by-step explanation:
If E is the event "a 10 is drawn", then its probability is 4/52 = 1/13, because there are 4 cards in the deck that are 10s. The probability of E' is the complement of this:
P(E') = 1 -P(E) = 1 -1/13
P(E') = 12/13
[tex]\sf \Large \boxed{\displaystyle \sf \frac{12}{13} } \\\\\\ 10 \ of \ spades \ or\ 10 \ of \ clubs \ or\ 10 \ of \ diamonds \ or\ 10 \ of \ hearts \\\\4 \ cards \ from \ the \ 52 \ are \ tens\\\\48 \ are \ not \ tens\\\\\displaystyle \frac{48}{52} =\frac{12}{13}[/tex]
x/20 - 2/5 = 3/4
Plz help :)
Answer:
x = 23
Step-by-step explanation:
simplify both sides of the equation then isolate the variable.
Answer:
x = 23
Step-by-step explanation:
x/20 + 20 ( -2/5 )/20 = 3/4
combine fractions with common denominator
x - 8/20 = 3/4
Multiply all terms by the same value to eliminate fraction denominators
20 . x - 8/20 = 3/4 = 20. 3/4
Cancel multiplied terms that are in the denominator
x - 8 = 20 . 3/4
Multiply the numbers
x - 8 = 15
Add 8 to both sides of the equation
x - 8 + 8 = 15 + 8
simplify
add the numbers
x = 23
Find the value of
n
(
√
5
)
5
=
5
n
Answer:
n = 26
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable
n.
One side of a triangle is half the longest side. The third side is 10 feet less than the longest side. The perimeter is 75. Find all three sides
Answer:One side of a triangle is half the longest side. The third side is 13 feet less than the longest side. The perimeter is 62 feet.
Step-by-step explanation:
Step-by-step explanation:
l-longest
l + l/2 + l-10 =75
2l -10 + l/2 =75
2l + l/2 =75+10=85
(5/2)l =85
l=85×2/5 =34
first side=34ft
second side=l/2=34/2=17ft
third side = 34-10=24ft
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PLEASE HELP a telegraph pole 7.5 metres high is held firm by a wire attached to its top and fixed to the ground 6.4 metres from the foot of the pole. how long is the wire? what is the angle of deviation?
Answer:
The flagpole is
4
meters tall.
Explanation:
The wire, the flagpole, and the ground make up the three sides of a triangle.
One angle of this triangle is given as
45
o
.
The angle of the flagpole with the ground must be
90
o
.
So the last angle must be
45
o
.
Because of the right angle
(
90
o
)
of the flagpole and the ground, this is a
right triangle
. The wire forms the hypotenuse.
Because both of the other angles are the same (both are
45
o
), this is an
isosceles
right triangle (the legs are equal.)
This particular kind of right triangle is called a
45
−
45
−
90
triangle, named for the degrees in its angles.
...
...
...
...
...
...
...
.
. . . . . . . . . . . . . . .
The measurements of these triangles are known by memorization:
The
45
−
45
−
90
isosceles right triangle has these properties:
It forms half a square, cut in half along the diagonal, so it is a
right triangle
.
This diagonal line forms the
hypotenuse
of the triangle.
The sides
s
(the legs) are the same as each other, so
it is an
isosceles right triangle.
The length of the hypotenuse is always
s
√
2
Here is a diagram of the
45
−
45
−
90
isosceles right triangle:
Step-by-step explanation: