Answer:
478miles
Step-by-step explanation:
32=1gallons 32×15 = 510miles
15g
510- 32= 478miles
A high school has 28 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 242 pounds?
Answer:
25%
Step-by-step explanation:
Looking at the attached diagram, we can see that the box plot is divided into 3 sections,
Q1 = First Quartile (1/4 the players) = 25%
Q2 = Second Quartile (2/4 = 1/2 of the players) = 50%
Q3 = Third Quartile (3/4 of the players) = 75%
From the attached diagram, the weight of 242 pounds is on the Third Quartile, this means , 75% of the players weigh 242 pounds and below
The percentage of players weighing greater than or equal to 242 pounds is calculated as: 100 - 75%
= 25%
The percentage of players weighing greater than or equal to 242 pounds is 25 %.
Quartile of Data ;From the attached diagram, we can see that the box plot is divided into 3 sections.[tex]Q_{1}[/tex] = First Quartile , which represent [tex]\frac{1}{4}[/tex] part of the player. That is 25%[tex]Q_{2} =[/tex] Second Quartile ,which represent 1/2 of the players= 50%[tex]Q_{3}=[/tex]Third Quartile , which represent 3/4 of the players = 75%From the attached diagram, the weight of 242 pounds is comes on the Third Quartile.
It means that 75% of the players weigh 242 pounds and below
Hence, The percentage of players weighing greater than or equal to 242 pounds is,
[tex]100-75=25[/tex]
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Factorise fully the following 2x+8
Find the value of θ from the following equation.(θ≤90°)
Answer: 10°
__________________________________________________________
We are given:
Sin(6θ) = Cos(3θ)
Solving for θ:
Simplifying Cos(3θ):
We know that:
Cos(θ) = Sin(90-θ)
So, we can say that:
Cos(3θ) = Sin(90 - 3θ)
Finding the value of θ:
Sin(6θ) = Cos(3θ)
Sin(6θ) = Sin(90 - 3θ) [Since Cos(3θ) = Sin(90 - 3θ)]
6θ = 90 - 3θ [If Sin(θ) = Sin(A) ; θ = A]
9θ = 90 [adding 3θ on both sides]
θ = 10° [dividing both sides by 9]
what is the answer for 6.8×10²
Answer:
680
Step-by-step explanation:
Answer:
680
Step-by-step explanation:
10 to the 2nd power is 10 times 10 which is 100.
Now, 6.8 times 100 is 680.
Hope this helps you!!
X^3 = 1000 for math please help
Answer:
x=10
Step-by-step explanation:
since there are 3 zeroes in 1,000
x is 10
because 10^3=1000
Answer:
10
Step-by-step explanation:
6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation
Answer:
(C / n) + 2
Step-by-step explanation:
Amount spent (C) = 42
Number of friends (n) = 6
Coupon on ticket = $2
Original price of ticket will be :
Cost per coupon ticket = (Total amount spent / number of friends)
(Total amount spent / number of friends) + coupon on ticket
= (C / n) + 2
= (42 /6) + 2
= 7 + 2
= 9
there are 18 people at the party. some are boys and some are girls. the number of boys is the same as the number of girls
Answer:
9 boys 9 girls
Step-by-step explanation:
18 = 2x
9
Multiply 1 4/5 * 1 ???
Answer:
9/5 or 1 4/5
Step-by-step explanation:
You’re welcome :)
Answer:
your answer will come to be 1.8
I NEED HELP WITH THIS PICTURE IS PROVIDED
The sum of three consecutive odd integers is 153. Find the three odd integers.
First integer =
Second integer =
Third integer =
PLEASE HELPPPP!!
Answer:
49, 51, 53
Step-by-step explanation:
Let the first odd integer be n.
Then the consecutive odd integer will be (n+2).
This will be followed by (n+4).
We know that the sum of these three is 153. In other words:
[tex]n+(n+2)+(n+4)=153[/tex]
Solve for n. Combine like terms:
[tex]3n+6=153[/tex]
Subtract 6 from both sides:
[tex]3n=147[/tex]
Divide both sides by 3:
[tex]n=49[/tex]
Therefore, our first odd number is 49.
So, our consecutive numbers must be 51 and 53.
Hence, our sequence is:
49, 51, 53
Notes:
If we get an even number for n or a non-integer value, then there are no three consecutive odd integers that sum to 153.
Answer:
49, 51, 53
Step-by-step explanation:
All odd numbers:
49 + 51 = 100
100 + 53 = 153
Which equation represents a line that is parallel to the line whose equation is y=-3x?
A) 4x+2y=5
B) 2x+4y=1
C) y=3-4x
D) y=4x-2
Evaluate the expression.
1.2 exponent 2
answer choices =
1.44
14.4
1.728
1.5
Answer:
1.44
Step-by-step explanation:
Answer:
the answer is 1.44
Step-by-step explanation:
Because the exponent of a number says how many times to use the number in a multiplication. In 1.2 exponent 2 the "2" says to use 1.2 twice in a multiplication, so 1.2'2 = 1.2 × 1.2 = 1.44 In words: 1.2'2 could be called "1.2 to the power 2" or "1.2 to the second power.
Your welcome
there is a ratio of 7 boys to every 4 girls. If there are 64
s, how many boys are in the school?
Answer:
112
the answer is 112 :)))))
Simplify the expression below: (3−13)2+1442−5·2
Answer:
1412
Step-by-step explanation:
2*(3 - 13) + 1442 - (5 * 2)
Distribute the 2 to the 3 and -13, and multiply 5 and 2 together.
6 - 26 + 1442 - 10
Now simplify the expression by adding and subtracting the terms.
1412 is the answer.
#teamtrees #WAP (Water And Plant)
A Fahrenheit thermometer shows that the temperature is 13 degrees below zero. Enter the integer that represents the temperature in degrees Fahrenheit
Answer:
-13??? weird question... do you mean celcius themometer?
Step-by-step explanation:
Answer:
The integer that represents 13 degrees below 0 is -13°F.
Step-by-step explanation:
This is because the phrase "13 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -13.
P.S.
This question was asked by somebody else and I answered already so I am not copying the answer!
Hope this helps! :)
By visual inspection, determine the best-fitting regression model for the data plot below.
Answer:
Quadratic
Step-by-step explanation:
It looks like it’s forming a very wide arch so quadratic formulas are arches
The equation of the regression line model for the data plot determines a quadratic equation
What is linear regression line?The connection between the independent (x) and dependent (y) variables in the graph can be graphically represented using regression lines.
In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. Analysis of experimental, monetary, and biological data as well as complex system prediction are both possible using linear modelling.
A statistical technique used to build a linear model is called linear regression. The model explains how one or more independent variables Xi relate to a dependent variable y (also known as the response) (called the predictors). The distance between each data point and the regression line is called a residual.
Given data ,
Let the linear regression line be represented as A
Now , the value of A is
Let the first coordinate on the graph be P ( 1 , 5.5 )
Let the second coordinate on the graph be Q ( 2 , 6 )
And , the data plots on the graph represents a curve or parabolic equation
So , it is a quadratic equation
Hence , the data plot of the regression line is quadratic
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Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
A. c+a=15
c=a+109
B. c+a=109
c=a+15
C. c+a=109
a=c+15
D. c-a=15
c=a+109
Answer:
C
Step-by-step explanation:
4x - 2y = -20
7x + 2y = -2
Answer:
(-2, 6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x - 2y = -20
7x + 2y = -2
Step 2: Rewrite systems
4x - 2y = -20
Add 2y to both sides: 4x = 2y - 20Divide 4 on both sides: x = 1/2y - 5Step 3: Redefine systems
x = 1/2y - 5
7x + 2y = -2
Step 4: Solve for y
Substitution
Substitute in x: 7(1/2y - 5) + 2y = =-2Distribute 7: 7/2y - 35 + 2y = -2Combine like terms: 11/2y - 35 = -2Add 35 to both sides: 11/2y = 33Isolate y: y = 6Step 5: Solve for x
Define original equation: 7x + 2y = -2Substitute in y: 7x + 2(6) = -2Multiply: 7x + 12 = -2Subtract 12 on both sides: 7x = -14Divide 7 on both sides: x = -2Step 6: Graph systems
Check the system.
PLEASE HELP ME WITH ME MATH In a survey of 3500 people who owned a certain type of car, 1750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
50%
Step-by-step explanation:
3500 divided by 1750 is 2 which is equal to 50%
Cara's new car holds 13.5 gallons of gas. If gas costs $2.98 per gallon, how much would it
cost her to fill the gas tank from empty?
Submit
O
Lenovo
Answer:
$40.23
Step-by-step explanation:
Answer:
40.23
Step-by-step explanation:
easy just do 13.5*2.98
Use the distributive property to remove the parentheses (x+12)8
Answer:
Using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]
Step-by-step explanation:
We need to used distributive property to solve (x+12)8
The distributive property of multiplication or addition states that: [tex]a(b+c)=ab+ac[/tex]
Using the property:
[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]
So, using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]
what is the slope of the graph in the picture
pls help it's closing in 40 minutes
pls explain how you got the answer
Answer:
-2
or
-2/1
Explanation:
**Slope = rise/run**
By counting the distance between the points, from (0,3) to (1,1) , it went down 2 units and right by 1 unit
Answer:
m= -2
Step-by-step explanation:
Pick two points and subtract the y coordinates, then subtract the x coordinates, (0,3) and (1,1) or (1,1) and (2,-1)
[tex]m = \frac{y_{2_ } - y_{1} }{x_{2} -x_{1} } = \frac{1-3}{1-0} = \frac{-2}{1} = -2[/tex] [tex]\frac{-1-1}{2-1} = \frac{-2}{1} = -2[/tex]
please help can yall solve this
Clayton opens a savings account with 11 dollars he got from his grandmother
Answer:
The answer is "$3640.58"
Step-by-step explanation:
This question is incomplete, that's why we add another question in the attached file. Please find it.
P = [tex]\$ \ 1300[/tex] and effective per year is = interest rate per year = 7.2
Total [tex]\$ \ 1300[/tex] due after 8 years is P+PRT:
[tex]\to 1300(1+0.072 \times 8)\\\\\to 1300(1+ 0.576)\\\\\to 1300(1.576)\\\\\to \$ \ 2048.8[/tex]
[tex]\to Total \ X = \$ \ (7000-2048.8) \\\\[/tex]
[tex]= \$ \ 4951.2 \\\\= X(1 +0.072 \times 5)\\\\=1.36 X \\\\[/tex]
The number of dollars is X [tex]= \frac{4951.2}{1.36} = \$ \ 3640.58[/tex]
At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the investment changed by a loss of $17.40. What was the value, in dollars, of the investment at the end of the month
Answer:
$36.52
you're welcome :)
A fair die is tossed 6 times. Find the probability that
(a) 1 “one”, 2 “twos” and 3 “threes” will turn up,
(b) each side will turn up once.
Answer:
Step-by-step explanation:
hi
Answer:
B
Step-by-step explanation:
How many numbers can be squared to get a value of 0?
Answer:
1
Step-by-step explanation:
0^2 equals 0 but 1 and -1 the numbers closest equal 1 so only one number can be squared to get 0
PLEASE HELP ME QUICK!!A train moves at a constant speed of 8 miles every 6 minutes. Fill in the table below to show how far the train travels according to different
amounts of time.
Answer:
1. 4
2. 20
3. 80
Step-by-step explanation:
which expression is equivalent to mn+z
2.5 divided by 1.5 round to nearest tenth
Answer:
1.7
Step-by-step explanation:
2.5÷1.5
5/3
1.66666
1.7
The divisions of 2.5 divided by 1.5 gives to 5/3 or 1.6667.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
2.5 divided by 1.5
So, 2.5 / 1.5
= 25 x 10 / 15 x 10
= 25/15
= 5 x 5 / 5 x 3
= 5/3
Hence, the divisions results to 5/3 or 1.6667
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