Answer: 4 out of 13
Step-by-step explanation:
Total letters in "MASSACHUSSETT " = 13
Number of S = 4
Probability of an event = [tex]\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
The probability of selecting the letter S = [tex]\dfrac4{13}[/tex] [already in lowest term as gcd(4,13)=1]
Hence, the probability of selecting the letter S = 4 out of 13.
Elijah is taking a multiple choice test with a total of 100 points available. Each question is worth exactly 2 points. What would be Elijah's test score (out of 100) if he got 8 questions wrong? What would be his score if he got xx questions wrong?
Answer:
84 points
y= 100-2x where y= total score (0 through 100) and x= # of questions wrong (0 through 50)
Step-by-step explanation:
100- 2(8) = y
100-16 = y
84=y
Since each question (x) is worth two points (2) we have to multiply each wrong question by two (2x). And then since we're deducting point from the possible points (100) we have to subtract (100-2x)
Answer:
Step-by-step explanation:
a motorcycle travels 6 mph faster than a sport car. if the sports car can only go 90 miles in the same time that the motorcycle can go 99 miles, find speed of the motorcycle
the speed of the motorcycle is ...... miles per hour
Answer:
The speed of the motorcycle is 66 miles per hour.
Step-by-step explanation:
We use the following relation to build a system of equations.
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance, and t is the time.
Car:
[tex]v_{c} = \frac{d_{c}}{t}[/tex]
We have that the car travels 90 miles, so [tex]d_c = 90[/tex]
Then
[tex]v_{c} = \frac{90}{t}[/tex]
[tex]t = \frac{90}{v_{c}}[/tex]
a motorcycle travels 6 mph faster than a sport car.
This means that [tex]v_m = 6 + v_{c}[/tex], so [tex]v_{c} = v_m - 6[/tex]
Travels 99 miles, so [tex]d_m = 99[/tex]
[tex]v_{m} = \frac{99}{t}[/tex]
Since [tex]t = \frac{90}{v_{c}}[/tex] and [tex]v_{c} = v_m - 6[/tex], we have that [tex]t = \frac{90}{v_{m} - 6}[/tex]
So
[tex]v_{c} = \frac{99}{t}[/tex]
[tex]v_{m} = \frac{99}{\frac{90}{v_{m} - 6}}[/tex]
[tex]v_m = \frac{99(v_{m} - 6)}{90}[/tex]
[tex]99(v_{m} - 6) = 90v_m[/tex]
[tex]99v_m - 594 = 90v_m[/tex]
[tex]9v_m = 594[/tex]
[tex]v_m = \frac{594}{9}[/tex]
[tex]v_m = 66[/tex]
The speed of the motorcycle is 66 miles per hour.
If a dog can eat 1/3 of a bag of food in 1/2 week how many bags of food can the dog eat in 1 week
Answer:
The dog can eat 2/3 of a bag of food in 1 week
Step-by-step explanation:
If the dog can eat 1/3 of a bag of food in 1/2 week (half of a week), and you're trying to figure out how much the dog can eat in 2/2 (which is equal to 1 week because 2/2 is one whole)
Then all we have to do is double 1/3, which will give you 2/3.
Answer:
2/3
Step-by-step explanation:
The PE teacher has a ratio of 3 girls to 2 boys in one of her classes. If there are 24 girls how many boys are there?
a.
12 boys
c.
32 boys
b.
16 boys
d.
20 boys
Answer:
16 boys
Step-by-step explanation:
Answer:
16 boys
Step-by-step explanation:
24 x 2 = 48
48/3 = 16
You invested $12,000 and earned 7.5% interest, which was compunded continuously. If you had $23,568.40 at the end of the investment, how
long was the investment for?
Answer:
9 years
Step-by-step explanation:
Formula for continuous compounding is;
Total amount after the compounding period = P + P[(e^(rt)) - 1]
Where;
P = principal
r is interest rate
t is time period of compounding
We are given;
P = $12,000
Interest rate; r = 7.5% = 0.075
Time; t =?
Amount after investment; $23,568.40
Thus;
23568.40 = 12000(1 + [(e^(0.075t)) - 1])
(1 + [(e^(0.075t)) - 1]) = 23568.40/12000
[(e^(0.075t)) - 1] = (23568.40/12000) - 1
[(e^(0.075t)) - 1] = 0.964
(e^(0.075t)) = 1 + 0.964
(e^(0.075t)) = 1.964
0.075t = In 1.964
0.075t = 0.67498
t = 0.67498/0.075
t = 9 years
Find the solution for the system of the equation c=-t+2 and c=-4t-4
Answer:it’s a I think
Step-by-step explanation:
how long does it take for a parachute to hit the ground from one meter
Answer:
Your first few seconds in freefall will be a wee bit slower, so you'll cover a little less distance at first, but then you'll accelerate to full speed. The first 300 or so meters (1,000 feet) will take about 10 seconds to fly through. Then 5 seconds for every 300 meters after that.
hope this helps!!:)
Step-by-step explanation:
Find the median of the data in the box plot below.
cm
Amount of rain in Vietnam cities
(centimeters)
++
4 5 6 7 8 9 10
0 1 2 3
Answer:
The median is 5cm.
Step-by-step explanation:
Median is one of the 3 famous measures of central tendency.
The others are: mean & mode.
A median is the middle figure in an array of figures which are lined up from lowest value to highest value.
Here, the variable we're working with is Amount of rainfall in Vietnam cities (in centimeters).
The data shows 4cm, 5cm, 6cm, 7cm, 8cm, 9cm, 10cm, 0cm, 1cm, 2cm, 3cm
We start by arranging them in order of value; from lowest to highest:
0cm, 1cm, 2cm, 3cm, 4cm, 5cm, 6cm, 7cm, 8cm, 9cm, 10cm
There are 11 values in total.
Since 11 is an odd number, it is easy to find the median in this set of values.
Five values to the left and five values to the right; the median is 5cm!
A function is shown: f(x) = (1.07)x What does the function represent? Exponential growth of 7% Exponential decay of 7% Exponential growth of 93% Exponential decay of 93%
Answer:
Exponential growth of 7%
Step-by-step explanation:
We are given the function:
A function is shown: f(x) = (1.07)^x
We can compare this to a formula of Exponential Growth
y = a(1 + r)^x
Hence:
1 + r = 1.07
r = 1.07 - 1
r = 0.07
Converting to percy
0.07 × 100
= 7%
Therefore, the function represents Exponential growth of 7%
Answer:
It is
Exponential decay of 93%
Step-by-step explanation:
:3 hope that helped!
What is 61% of 524?
Thanks
Answer:
319.64
Step-by-step explanation:
524/100= 5.24
5.24x61= 319.64
Which choices are common factors of the numerator and denominator of the
fraction below? Check all that apply.
6/24
A.2
B.12
C.3
D.4
E.1
F.6
I need help guys
Answer:
2, 3, 6, 1
Step-by-step explanation:
common factors of 6 are 1, 2, 3, 6
common factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
so both 6 and 24 have common factors of 1, 2, 3, 6
Louis is a pizza delivery driver. He made $72 in tips on Friday night, and earns an hourly wage of $4. Create an equation to represent his earnings.
Step-by-step explanation: The keyword is hourly. Since the keyword is hourly, the equation is division.
72 / 4
1. 4 goes into 7 once.
1a. 72 / 4 = 1
2. Now we multiply 4 by 1.
2a. 4 x 1 = 4
3. Now, we subtract 7 by 4.
3a. 7 - 4 = 3
4. Now bring down the 2.
4a. 3 = 32
5. Then you repeat the process!
We'll do the last one step-by-step!
1. 2 goes into 4, 8 times.
1a. 72 / 4 = 18
2. Multiply 8 by 4.
2a. 8 x 4 = 32
3. Lastly, subtract 32 by 32.
32 - 32 = 0
Therefore, your answer is 18 R0.
What is 5 divided by 9/10
Answer:
50/9 or 5 5/9
Step-by-step explanation:
5/1 x 10/9 = 50/9
What is the simple interest on $40,000 for 10 years at 12%?
$64,000
$55,000
$50,000
$48,000
Step-by-step explanation:
simple intrerest =p×r×t 40000×10×12=48000
Answer:
48000
Step-by-step explanation:
40000*10*12=48000
4x5:):):):):):):)free
Answer:
The answer is 20
Step-by-step explanation:
Can i have brainiest
Answer:
20! thank you for the free points I hope you're having a great day and enjoy the rest of your day and stay safe and make sure you don't get sick!
Solve for K 2(k - 5) + 3k = k + 6
Answer:
k = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
2(k - 5) + 3k = k + 6
Step 2: Solve for k
Distribute 2: 2k - 10 + 3k = k + 6Combine like terms: 5k - 10 = k + 6Subtract k on both sides: 4k - 10 = 6Add 10 on both sides: 4k = 16Divide 4 on both sides: k = 4Step 3: Check
Plug in k into the original equation to verify it's a solution.
Substitute in k: 2(4 - 5) + 3(4) = 4 + 6(Parenthesis) Subtract: 2(-1) + 3(4) = 4 + 6Multiply: -2 + 12 = 4 + 6Add: 10 = 10Here we see that 10 does indeed equal 10.
∴ k = 4 is the solution to the equation.
1.
5.
A set of data consists of 3, 3, 6, 4, and 9. The
median for these data is
A.
6
B.
5
C. 3
D. 4
Find the product of the
L.C.M and H.C.F of 8 and 12.
Answer:
96 is the answer.Step-by-step explanation:
The L.C.M of 8 and 12 is 24The H.C.F of 8 and 12 is 4We multiply 24 *4 we shall get 96 as the answer.Answer:
24*4=96
Step-by-step explanation:
lcm of 8 and 12 is 24
hcf of 8 and 12 is 4
24 times 4 = 96
Which figure is a triangular prism? Select all that apply.
A
B
c
D
Answer:
The answer choice is E.
Step-by-step explanation:
Answer:
A and C are triangular prisms
which inequality shows the relationship between the plotted points on the number line
Answer:
I hope this help you!!! if it doesn't im sorry
A leaf is falling from the top of a tree. The height of the leaf in feet, y, can be found using the function y = -3.5x + 28, where x is the time in seconds the leaf has been in the air. How many seconds did it take the leaf to reach the ground?
Answer:
It took 8 seconds for the leaf to reach the ground.
Step-by-step explanation:
The height of the leaf in feet can be found using the function:
y = -3.5*x + 28
where x is the time in seconds the leaf has been in the air.
You want to know how long it took for the blade to reach the ground. That is, the time it took for the blade to reach a height of 0 feet. So, replacing this value in the expression:
0= -3.5*x + 28
and solving you get:
-28= -3.5*x
(-28)÷ (-3.5)=x
8=x
It took 8 seconds for the leaf to reach the ground.
What is the solution to the system of equations below?
Answer:
the answer is d
Step-by-step explanation:
There are 26 letters in the English language and 24 in Korean. What is the ratio
Answer:
26:24
Step-by-step explanation:
is this what you mean
Answer:
Well the ratio fro English to Korean is
13:12 (simplified)
the ratio for Korean to English is
12:13 (simplified)
Please help im not smart at all lol
Answer:
1/2 ( 10x + 8 )
Step-by-step explanation:
first make sure everything in the parenthesis is addition. by doing this you make the 6 and 8x negatives. so it's 1/2 ( 13x + 5x + -6 + -8 + 14 ) then combine the numbers with the variable x so 13x + 5x + -8x = 10x . then the ones without variables -6 + 14 = 8. so 1/2 ( 10x + 8)
You have $4.10 and would like to buy some almonds .if a pond costs $8, how many ounces can you buy ?
Answer:
Step-by-step explanation:
we know that 1 lb=16oz
16 oz almonds = costs 8 dollars , we divide the cost to oz
8/16=0.5 dollars / oz
4.10/0.5=8.2 oz
for 4.10 dollars you buy 8.2 oz
What is the equation of the line that goes through the points (-5,-1) and (5,5)?
ОА.
8
3
Y = gr
2
y
B.
x + 3
Ос.
y =
+2
0
D.
y =
= ft – 7
The answer is y = 3/5x + 2
Equation of the line that goes through the points (-5, -1) and (5, 5) is y = [tex]\frac{3}{5}[/tex] x + 2.
What is Slope?Slope of a line is defined as the tangent of the angle that the given line is making with the X axis.
Slope of a line is usually denoted by the letter 'm'.
m = tan θ, where θ is the angle.
Slope of a line passing through the points (x1, y1) and (x2, y2) is,
m = (y2 - y1) / (x2 - x1)
Here we have two points (-5, -1) and (5, 5)
m = (5 - -1) / (5 - -5) = 6 / 10 = 3/5
Equation of a line in point slope form is,
y - y₁ = m (x - x₁), where (x₁, y₁) is a point on the line.
We take a point (5, 5)
y - 5 = [tex]\frac{3}{5}[/tex] ( x - 5)
y - 5 = [tex]\frac{3}{5}[/tex] (x) - [tex]\frac{3}{5}[/tex] (5)
y - 5 = [tex]\frac{3}{5}[/tex] (x) - 3
y = [tex]\frac{3}{5}[/tex] x - 3 + 5
y = [tex]\frac{3}{5}[/tex] x + 2
Hence the equation of the line passing through the points (-5, -1) and (5, 5) is y = [tex]\frac{3}{5}[/tex] x + 2.
To learn more about Slope, click on the link:
https://brainly.com/question/3605446
#SPJ5
How much is 3/4 of four dozen
Answer:
36
Step-by-step explanation:
Just add 12+12+12 or 12x3
Answer:
36
Step-by-step explanation:
bro if a dozen is 12 then add it 4 times it comes 48 then 3/4 is 36
What is area of circle that has circumference of 12pi
Answer:
36pi
Step-by-step explanation:
Since the formula for the circumference is C=2*pi*r
12pi=2*pi*r we can divide and get r=6 cm
Then, we can use the formula for the area of a circle: Area=pi*r^2 and get Area=pi*6^2=36*pi.
Solve the equation for y.
5y = 15
A. 75
B. 11
C. 3
D.-3
Answer:
it is C
Step-by-step explanation:
5 divided by 5 it cancels out
then divided 5 by 15= 3
y=3
Explain the process to solve the equation. Use proper
vocabulary in your explanation.
1/4x=-5/6
Answer:
x = -24/5
Step-by-step explanation:
1/4x=-5/6
as 4 is multiplied to x on the left hand side, if we shift 1/4 to the right hand side the equation becomes:
6/-5=4x
now the 4 multiplied to x moves to the left hand side:
(6/-5)x4 =x
x = -24/5
If you need further clarification, please feel free to ask
Answer:
Your goal is to isolate the x. This is a multiplication problem, so use the inverse operation, which is division. Divide both sides of the equation by
1
4 by multiplying by the reciprocal, 4. (−
5
8)(4) is −
5
2. Use substitution to check the answer. x = −
5
2
Step-by-step explanation:
