7. The length of a rectangular plot is 12 m 30 cm and breadth is 5m 20cm. Find the
area of the plot.
A certain model car has a keypad with 5 numbers on the door. To open the door, 5 numbers must be entered in the correct
order and no number can be used more than once. What is the probability that someone could guess the correct code?
OA. Ito
OB.
OC.
OD.
Answer: A. [tex]\dfrac{1}{120}[/tex]
Step-by-step explanation:
Total digits on keypad = 5
According to permutation,
If repetition of digits is not allowed then the number of 5-digits passwords can be formed = 5!
= 5 x 4 x 3 x 2 x 1 [n!=n x (n-1) x (n-2)x ... x 1]
=120
The probability that someone guesses the correct code = [tex]\dfrac{\text{Number of correct codes}}{\text{Total possible codes}}[/tex]
[tex]=\dfrac{1}{120}[/tex]
Hence, the correct option is A.
Sam needs to rent a van for a school field trip. Van Company A charges a one time fee of $250 plus $10 for each mile driven. Van Company B charges a one time fee of $150 plus $12 for each mile driven.
At how many miles are they the same price?
D.y = 10x + 250
y = 12x + 150 is the correct answer to the question
what fraction is equivalent to 3/9
Answer:
the simplified version of 3/9 would be 1/3 but other equivalent fractions of 3/9 would include but are not exclusive to: 2/6, 4/12, 5/15, and etc.
The required fraction 3/9 is equivalent to 1/3.
Given that the fraction is 3/9.
Equivalent fractions are the fractions are same at their simplest form.
Let a/b be the fraction, then the equivalent fractions are
2a/2b, 3a/3b, 4a/4b, 5a/5b, etc
To find an equivalent fraction, we simplify the given fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
In this case, the GCD of 3 and 9 is 3.
Dividing both 3 and 9 by 3, we get:
3 ÷ 3 = 1
9 ÷ 3 = 3
Therefore, the fraction 3/9 simplifies to 1/3, which is an equivalent fraction.
Learn more about fractions and simplifying, click here
https://brainly.com/question/29772021
#SPJ2.
Please help will give brainliest
Step-by-step explanation:
[tex] \frac{32.5}{33.8} = 0.9615[/tex]
B is the quotient. your welcome
Mario made 2 goals for every 5 shots on goal. What is the probability that Mario would make 2 goals on two shots?
Answer:
16%
Step-by-step explanation:
To calculate this we first need to calculate the probability of Mario scoring for every individual shot that he takes. Since he makes 2 goals for every 5 shots on average, we simply divide these numbers to get the probability of a goal per shot.
2 / 5 = 0.4 ...multiply by 100 to get percentage value
0.40 * 100 = 40%
We see that the probability of scoring a goal per shot is 40%. Now we need to multiply this probability twice to get the probability of scoring 2 consecutive goals in two shots.
0.40 * 0.40 = 0.16 ... multiply by 100 to get percentage value
0.16 * 100 = 16%
Answer:
16%
Step-by-step explanation:
I know that 2/5 = 0.4 or 40%
and 0.4 x 0.4 = 0.16
or 16%
basically what the other one said, without words
Satellite photography makes it possible to measure the diameter of a hurricane. The figure shows that a camera's aperture YX is 35 mm and its focal length WZ is 50 mm. The satellite W holding the camera is 150 mi above the hurricane, centered at C.
PLEASE INCLUDE THE DIAMETER
Step-by-step explanation:
the answer is b ghghghghhh
How many solutions does the following. system of equations have? 6x-3y= -9 y=2x+3. one solution, infinitely many solutions or no solution?
Answer:
D on edg
Step-by-step explanation:
The length of a rectangle is 3 inches less than three times its width. The perimeter of the rectangle is 34 inches. Find the dimensions of the rectangle
Given:
The length of a rectangle is 3 inches less than three times its width.
The perimeter of the rectangle is 34 inches.
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then, the length of a rectangle is 3 inches less than three times its width.
Length of the rectangle = 3x-3
Now, perimeter of the rectangle is
[tex]Perimeter=2(Length + Width)[/tex]
[tex]Perimeter=2(3x-3+x)[/tex]
The perimeter of the rectangle is 34 inches.
[tex]34=2(4x-3)[/tex]
[tex]34=8x-6[/tex]
[tex]34+6=8x[/tex]
[tex]40=8x[/tex]
Divide both sides by 8.
[tex]\dfrac{40}{8}=x[/tex]
[tex]5=x[/tex]
The value of x is 5. So, width of the rectangle is 5 inches.
[tex]Length=3x-3[/tex]
[tex]Length=3(5)-3[/tex]
[tex]Length=15-3[/tex]
[tex]Length=12[/tex]
Therefore, the length of the rectangle is 12 inches and the width of the rectangle is 5 inches.
write a word sentence for the equation x-0.3=1.7
Answer:
the quotient x minus 0.3 is equal to 1.7
Step-by-step explanation:
Answer:
"x subtracted by zero-point-three is equal too one-point-seven."
Step-by-step explanation:
"x subtracted by zero-point-three is equal too one-point-seven."
Explanation:
"x subtracted by...": x -
"...zero-point-three...": 0.3
"...is equal too..": =
"one-point-seven": 1.7
~
Which expression is equivalent to (-5/6) / (10/3)?
Answer:
[tex]\frac{\left(-\frac{5}{6}\right)}{\left(\frac{10}{3}\right)}=-\frac{1}{4}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{\left(-\frac{5}{6}\right)}{\left(\frac{10}{3}\right)}[/tex]
Let us solve the expression
[tex]\frac{\left(-\frac{5}{6}\right)}{\left(\frac{10}{3}\right)}=\frac{-\frac{5}{6}}{\frac{10}{3}}[/tex]
Apply fraction rule: [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-\frac{\frac{5}{6}}{\frac{10}{3}}[/tex]
Divide fractions: [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
[tex]=-\frac{5\cdot \:3}{6\cdot \:10}[/tex]
Multiply the numbers: [tex]6\cdot \:10=60[/tex]
[tex]=-\frac{5\cdot \:3}{60}[/tex]
Multiply the numbers: [tex]5\cdot \:3=15[/tex]
[tex]=-\frac{15}{60}[/tex]
Cancel the common factor: 15
[tex]=-\frac{1}{4}[/tex]
Therefore, we conclude that the equivalent expression is:
[tex]\frac{\left(-\frac{5}{6}\right)}{\left(\frac{10}{3}\right)}=-\frac{1}{4}[/tex]
What is one-half of the product of the following?
Answer:
-2/3 is the right answer
A cookie recipe requires 2 pounds of butter to make 18 dozen cookies. If a baker wants to make only 3 dozen cookies, which proportion can he use to find b, the number of pounds of butter he needs.
2/18 = b3
5/18 = b3
2/18 = 3b
3/18 = 2b
If the expression
(3v+7) - (8v+6)
needs to be equivalent to
(-5+n)
What is the value of n?
Answer:
n = 1
Step-by-step explanation:
So the first step is to simplify the top equation:
(3v + 7) - (8v + 6)
distribute the negative sign to get rid of the second parentheses:
3v + 7 - 8v - 6
now, combine like terms
-5v + 1
Since it says it needs to be equivalent to (-5v + n), n is 1
Explain two different ways to find a new value after an original value is increased by 30%.
Answer:
Frequently, we know the new amount and the percent change and need to know the original amount. We found that a $600 TV on sale for 30% off, cost $420 on sale. We might think, that to find the original cost of the TV that has a sale price of $420 after a sale of 30% off, we could just take 30% of the $420 cost and add it back to the $420 to find the original cost.
30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.
Or, 130% of $420 is 1.3($420) = $546.
Notice that this is not the $600 original list price with which we started.
Step-by-step explanation:
A water tank already contains 55 gallons of water when Brian begins to fill it. Water flows into the tank at a rate of 8 gallons per minute.
Write a linear equation to model this situation.
What is the area of this quadrilateral?
3 ft
4 ft
3 ft:
O A. 16 square feet
B. 26 square feet
C. 24 square feet
O D. 12 square feet
Find the tip:
A $32 meal with a 15% tip
Tip = $ ____
Answer:
$4.80
Step-by-step explanation:
$32 × 0.15 = $4.80
please help me with this problem been stuck on it for about 15 mins and getting stressed out
Step-by-step explanation:
[tex]given \: \\ ({a}^{5} )^{5} \\ = {a}^{5 \times 5} \\ = {a}^{25} \\ hope \: it \: will \: help[/tex]
Anyone good at geometry? Please help.
Select the solution(s) of log2x=1−log(x+4).
Step-by-step explanation:
log2x = 1 - log(x+4)
log2x = log10 - log(x+4)
log2x = log[10/(x+4)]
2x = 10/(x+4)
2x(x+4) = 10
2x² + 8x - 10 = 0
÷2 both sides of equation
x² + 4x - 5 = 0
(x+5)(x-1) = 0
x = -5, 1
x isn't be -5 because logA, A need to be > 0
So, x value is 1
The expression 15h + 216 represents the approximate amount of money a family spends at an amusement park in a day, where h is number of hours the family stays at the park. About how much can a family expect to spend if it stays 6.5 hours?
Please help!
Answer: $313.50
Step-by-step explanation:
Which pair of fractions is not equivalent?
A.6/8,8/10
B.2/3,6/9
C.1/8,3/24
D.3/15,4/20
HELP PELASE ASAPppppp
Can someone help me with this quickly????
Answer:
A
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
4x − 2 − 2x = x − 5
−(x + 3) = 2x − 6
I need these step by step, please help!! I'll give brainliest and all of my points
Answer:
Step-by-step explanation:
What is the problem, can you write it better pls?
Answer:
x = - 3 and x = 1
Step-by-step explanation:
4x - 2 - 2x = x - 5, that is
2x - 2 = x - 5 ( subtract x from both sides )
x - 2 = - 5 ( add 2 to both sides )
x = - 3
----------------------------------------
- (x + 3) = 2x - 6 ← distribute left side
- x - 3 = 2x - 6 ( subtract 2x from both sides )
- 3x - 3 = - 6 ( add 3 to both sides )
- 3x = - 3 ( divide both sides by - 3 )
x = 1
What is the solution to the equation 3(x+2)=12
Answer:
I think its, x = 2?
Step-by-step explanation:
Im not quite sure.... Sorry if i get it wrong
What is the area PLEASE HELP!! :/
Answer:
15 square meters
Step-by-step explanation:
when it says find the area you have to add all the lengths together
a. (5x -9) - (2x -7) b. (6x -10) -(2x-8)
Answer:
!!
Step-by-step explanation:
(5x-9)-(2x-7)
(5x-2x)-(9-7)
3x-2
2 / 3
x=2/3 or 0.6666666666666667
Please help I uploaded a picture
Answer:
the second one
Step-by-step explanation:
first one is divide
third one is well add
last is add aswell