Answer:
4 hours
Step-by-step explanation:
I am not sure, what I did was, if Calvin and Alvin both waxed half the car, their original time would split in half, then I added those values together, which is also the average.
y=mx+b is a pretty safe form to follow
C=3
A=5
if you are doing variables
I tried my best.
what is the probability of rolling a dice at most 3 times until a 6 occurs
Answer:
Probablity of getting six in at most three roll= 0.199.
Step-by-step explanation:
Given: Dice rolled at most 3 times untill a 6 occurs.
First, finding the probablity of getting 6 in a dice if rolled once.
Probablity= [tex]\frac{chances\ of\ occurance}{Total\ number\ of\ event}[/tex]
We know, dice have six side, therefore, total number of event will be 6.
∴ Probablity of getting six in one roll= [tex]\frac{1}{6}[/tex]
As given, Dice is rolled at most 3 times.
Now, finding the probablity of getting 6 in a dice if rolled 3 times.
∴ Probablity of getting six in three roll= [tex]\frac{1}{6}+(\frac{1}{6})^{2} +(\frac{1}{6})^{3}[/tex]
⇒ Probablity of getting six in three roll= [tex]\frac{1}{6}+\frac{1}{36} +\frac{1}{216}[/tex]
Taking LCD 216
⇒Probablity of getting six in three roll= [tex]\frac{1\times 36+ 6\times 1+1}{216}[/tex]
⇒Probablity of getting six in three roll= [tex]\frac{43}{216}[/tex]
∴Probablity of getting six in three roll=0.199
Anton's family drove 216 mi to the lake averaging 48 mi/h . On the return trip home they averaged 54 mi/h .
What was the total time that Anton's family spent driving to and from the lake?
The total time that Anton's family spent driving to and from the lake is 8.5 hours
Solution:
Time taken is given by formula:
[tex]Time = \frac{distance}{speed}[/tex]
Anton's family drove 216 mi to the lake averaging 48 mi/h
⇒ Anton's family drove total distance = 216 mi les
⇒ Speed of Antony's family driving to lake = 48 miles per hour
[tex]Time = \frac{216}{48} = 4.5[/tex]
Therefore, time taken to drive to lake is 4.5 hour
On the return trip home they averaged 54 mi/h
[tex]Time = \frac{216}{54} = 4[/tex]
Therefore, time taken to return home is 4 hours
Total time = 4.5 + 4 = 8.5 hours
Thus the total time that Anton's family spent driving to and from the lake is 8.5 hours
A ticket at a movie theater costs $8.50. One night, the theater had $29,886 in ticket sales.
Which is the best estimate for the number of tickets sold?
2,000
30,000
3,000
4,000
Answer:
i would guess 3000
Step-by-step explanation:
this is because i rounded 8.50 to 10. and rounded 29886 to 30000
[tex]30000 \div 10 = 3000[/tex]
Which number completes the inequality? Two-thirds less-than blank less-than StartFraction 7 over 9 EndFraction Three-fifths StartFraction 6 Over 9 EndFraction Three-fourths StartFraction 6 Over 7 EndFraction
Answer:
c
Step-by-step explanation:
Final answer:
To complete the inequality, we convert the fractions to decimal form or find a common denominator to compare them. The number that completes the inequality is three-fourths (0.75), as it is larger than two-thirds but smaller than seven-ninths.
Explanation:
The student is asking which number fulfills the inequality between two-thirds and various other fractions. To determine the correct number that completes the inequality, we should consider the values of the fractions in decimal form or by comparing them to each other after finding a common denominator.
For example, two-thirds is approximately 0.666..., three-fifths is 0.6, seven-ninths is approximately 0.777..., three-fourths is 0.75, and six over nine is equivalent to two-thirds (as six-ninth simplifies to two-thirds).
Considering these values, the number that fills the gap should be bigger than two-thirds and smaller than the smallest fraction among the given options that is bigger than two-thirds. Therefore, three-fourths (0.75) fits the inequality because it is larger than two-thirds (approximately 0.666...) but less than seven-ninths (approximately 0.777...).
What is 2 = f - 27.
Answer:
F=29
Step-by-step explanation:
27+2
Answer:
f=29
Step-by-step explanation:
Elle is buying new flooring for her kitchen
and laundry room. She knows that the
area of the kitchen is 132 square feet. The
laundry room is 8 1/3 feet by 6 3/4 feet. What is
the total area of the two rooms?
Answer:
The total area of the two rooms is 188.25 square feet
Step-by-step explanation:
Given:
Area of the kitchen = 132 square feet.
Dimension of the Laundry room = 8 1/3 feet by 6 3/4 feet.
To Find:
The total area of the two rooms = ?
Solution:
Area of the two rooms = Area of the kitchen + Area of the laundry room
Area of the two rooms = 132 + Area of the laundry room
Area of the laundry room =[tex](8 \frac{1}{3}) \times (6 \frac{3}{4})[/tex]
Area of the laundry room =[tex]\frac{25}{3} \times \frac{27}{4}[/tex]
Area of the laundry = [tex]\frac{675}{12}[/tex]
Area of the two rooms = [tex]132 + \frac{675}{12}[/tex]
Area of the two rooms = 132 + 56.25
Area of the two rooms = 188.25 square feet
Final answer:
The total area of Elle's kitchen and laundry room combined is 188.25 square feet. This is found by first calculating the area of the laundry room with given dimensions and then adding it to the area of the kitchen.
Explanation:
The question involves finding the total area of two rooms, given the area of one and the dimensions of the other. The kitchen has an area of 132 square feet. For the laundry room, we need to calculate the area by multiplying its length and width. The dimensions are 8 1/3 feet by 6 3/4 feet. To find the area, convert mixed numbers to improper fractions: 8 1/3 becomes 25/3 feet, and 6 3/4 becomes 27/4 feet. The area is then calculated as (25/3) * (27/4) square feet.
To compute this, multiply the numerators and denominators separately: (25*27) / (3*4) = 675 / 12, which simplifies to 56.25 square feet. Now, add the area of the laundry room to the area of the kitchen to get the total area of both rooms: 132 + 56.25 = 188.25 square feet. Therefore, the total area of the two rooms is 188.25 square feet.
Question is in the problem, help please
Answer:
π units²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ← r is the radius
Here diameter d = 2, thus r = 2 ÷ 2 = 1, thus
A = π × 1² = π × 1 = π units² ← exact solution
or A = 3.14 units² ← as a decimal
the measure of C if a=6 and b=9.
[tex]3 \sqrt{5} [/tex]
[tex]9 \sqrt{5} [/tex]
[tex]3 \sqrt{13} [/tex]
[tex]5 \sqrt{3} [/tex]
Answer:
[tex]c=3\sqrt{13}[/tex]
Step-by-step explanation:
Pythagorean Theorem: In the right triangle the square of longer side is equal to the sum of the squares of other sides.
[tex]c^2=a^2+b^2\\\\c^2=6^2+9^2\\\\c^2=36+81\\\\c^2=117\\\\c^2=3\times 3\times 13\\\\c=\sqrt{3\times 3\times 13}\\\\c=3\sqrt{13}[/tex]
2 + a/6 = -4 what is a?
Answer:
a= -36
Step-by-step explanation:
1. Subtract 2 from both sides
2 + a/6 -2 = -4 -2
2. Simplify
a/6 = -6
3. Multiply both sides by 6
6a/6 = 6(-6)
4. Simplify
a = -36
Write an expression with two terms. 1 term should have a coefficient with a variable and the other term should be constant. Name the coefficient, the variable, and the constant in the expression. Then write a word phrase for your expression.
________________________________________________________________________________________________________________________________________
Answer:
y = 2x + 5
Step-by-step explanation:
The 2 would be the coefficient with x as a variable, and the 5 would be the constant.
At the beginning of the day Jessica had 5 dollars (constant), and for every hour she worked (variable), she made 2 dollars (coefficient).
An example of an expression with two terms is 3x + 5, where 3 is the coefficient, x is the variable, and 5 is the constant. A word phrase for this expression is "Three times a number plus five."
An example of an expression with two terms where one term has a coefficient with a variable and the other term is constant is:
3x + 5
In this expression:
The coefficient is 3.
The variable is x.
The constant is 5.
A word phrase for this expression could be: "Three times a number plus five."
A rectangular box of height 10 has a base with edges of length 10. What is the length of a diagonal of this box?
Answer:
The diagonal of the box is [tex]D=10\sqrt{3}\ units[/tex]
Step-by-step explanation:
Let
d ----> the diagonal of the base
D ---> the diagonal of the box
step 1
Find the diagonal of the base
Applying the Pythagorean Theorem
[tex]d^2=10^2+10^2[/tex]
[tex]d^2=200[/tex]
[tex]d=10\sqrt{2}\ units[/tex]
step 2
Find the diagonal of the box
In this part the legs of the right triangle are the height of the box and the diagonal of the base
so
Applying the Pythagorean Theorem
[tex]D^2=10^2+(10\sqrt2)^2[/tex]
[tex]D^2=300[/tex]
[tex]D=10\sqrt{3}\ units[/tex]
Find the value of c such that the equation x^2 - c = 0 has 12 and –12 as solutions.
Answer:
c=144
Step-by-step explanation:
The given equation is [tex]x^2-c=0[/tex]
If this equation has 12 and -12 as roots, then the roots must satisfy the equation.
We substitute x=12 to obtain
[tex]12^2-c=0[/tex]
[tex]144-c=0[/tex]
Solve for c to get:
[tex]144=c[/tex]
This implies that:
[tex]c=144[/tex]
We could have also substitute x=-12 to get the same result.
3.14•8.7•8.7•14.7
Round to the nearest hundreds
Answer:
3493.70
Step-by-step explanation:
if you multipy all these in a calculator you get a long number, look at the third digit behind the decimal, if its 5+ then make the second digit behind the decimal one number higher. If its 4 or under than keep the number the same. To round, cut off all the digits behind the second digit thats past the secimal
If x/5+6=-14 then x equals
Answer:
x = - 100
Step-by-step explanation:
Given
[tex]\frac{x}{5}[/tex] + 6 = - 14 ( subtract 6 from both sides )
[tex]\frac{x}{5}[/tex] = - 20
Multiply both sides by 5 to clear the fraction
x = 5 × - 20 = - 100
what is 176/14 simplified?
Answer:
12.57
Step-by-step explanation:
Answer:
12.57 i did on the calculator
Step-by-step explanation:
What is the answer to this 4×3^2?
Evaluate the expression.
Answer:
36
Step-by-step explanation:
The first thing to simplify is the Exponents
3^2 means 3 multiplied by it self 2 times
3×3=9
4×3^2
4×9
36
nanci has a large fish tank that contains fish. The ratio of orange fish to black fish is 5:8. If nanci has a total of 20 orange fish, then how many black fish are inn the tank?
Answer:
32 black fish
Step-by-step explanation:
1. set up a ratio
[tex]\frac{5}{8} = \frac{20}{?}[/tex]
2. we know that we have to multiply by 4 to get from 5 orange fish to 20 orange fish. Therefore we multiply the 8 black fish by 4 as well to get 32 black fish
[tex]\frac{5}{8} =\frac{20}{32}[/tex]
What is the value of the function FX equals 4X +9 when X equals
completa:
1. un numero real es--------------------- si se puede escribir como la razon (cociente) [tex]\frac{a}{b}[/tex] de dos numeros enteros , donde b [tex]\neq[/tex] 0.
Answer:
un número real es una fracción o número racional
si puedes escribir como razón (cociente) [tex]\frac{a}{b}[/tex]
de dos números enteros, donde b [tex]\neq[/tex] 0
Step-by-step explanation:
un número real es una fracción o número racional
si puedes escribir como razón (cociente) [tex]\frac{a}{b}[/tex]
de dos números enteros, donde b [tex]\neq[/tex] 0
What number comes before 12 when you count by twos?
A 8
B 11
C 10
D 9
Answer:
c
Step-by-step explanation:
brainlist
The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.04x2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the football?
The maximum height of the football is approximately 15.21 yards.
Explanation:The given equation for the path of the football is y = –0.04x^2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. To find the maximum height of the football, we need to determine the vertex of the parabolic function represented by the equation. The vertex represents the point where the function reaches its maximum or minimum value.
The vertex of a quadratic function in the form y = ax^2 + bx + c can be found using the formula x = -b/(2a). In this case, a = -0.04 and b = 1.56. Plugging these values into the formula, x = -1.56/(2*-0.04) = 19.5. Substituting this value back into the equation, we can find the corresponding y value which represents the maximum height of the football.
y = –0.04(19.5)^2 + 1.56(19.5) = -0.04(380.25) + 30.24 = 15.21 yards
2453 minus 249 equals
Answer: 2,204
Step-by-step explanation:
Final answer:
To solve 2453 minus 249, align the numbers by place value and subtract each column starting from the rightmost digit, borrowing where necessary. The result of 2453 minus 249 is 2204.
Explanation:
The question is a basic arithmetic problem involving subtraction. The task is to subtract 249 from 2453. We write the numbers in column form, aligning the units, tens, hundreds, and thousands places properly:
2453
- 249
------
We start subtracting from the rightmost digit (units place) and proceed to the left:
Finally, subtract in the thousands place: 2 minus 0 is 2.
After completing the subtraction, we have the result:
2204
Therefore, 2453 minus 249 equals 2204.
I need someone help
Answer:
[tex]1\frac{4}{5}[/tex]
Step-by-step explanation:
Each is dived into 5 section. so section is 1/5
I need help with this asap.
4a, b, c
From this problem, we know that during the weekend Fiona bought some frozen seafood at the market. She bought the following things:
A large tray of sardinesA 3 kg bag of squidA 2kg box of musselsLet:
x: The large tray of sardines
y: The 3 kg bag of squid
z: The 2kg box of mussels
Then, we have the following information:
The sardines and the squid cost €50:
[tex]x+y=50 \ ... \ eq1[/tex]
The sardines and the mussels cost €43:
[tex]x+z=43 \ ... \ eq2[/tex]
The squid and the mussels cost €26:
[tex]y+z=26 \ ... \ eq3[/tex]
Isolating x from eq 1 and substituting into eq 2:
[tex]From \ eq1: \\ \\ x=50-y \\ \\ \\ Substituting \ into \ eq2: \\ \\ (50-y)+z=43 \\ \\ -y+z=43-50 \\ \\ -y+z=-7 \ ... \ eq4[/tex]
Adding eq3 and eq4:
[tex]\ \ y+z=26 \\ \\ -y+z=-7 \\ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \\ \\ 2z=19 \\ \\ z=9.5[/tex]
From eq 3:
[tex]y+z=26 \\ \\ y+9.5=26 \\ \\ y=26-9.5 \\ \\ y=16.5[/tex]
From eq 1:
[tex]x=50-y \\ \\ x=50-16.5 \\ \\ x=33.5[/tex]
Finally:
A large tray of sardines cost €33.5A 3 kg bag of squid cost €16.5A 2kg box of mussels cost €9.5Learn more:Solving systems of linear equations: https://brainly.com/question/13799715
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Lesson 12 Homework
A rectangular garden has a total area of 48 square yards. Draw and label two possible rectangular
gardens with different side lengths that have the same area.
on the fifth figure in
See picture for solution to your problem.
Roger wants to buy 58 tennis balls. Estimate how many canisters he would have to buy if there are 3 tennis balls per canister by rounding the total number of tennis balls to the nearest tens place.
20 canisters
Step-by-step explanation:
Long divide the 58 by 3 to get 19.3 repeating. Then round off to 20. Hope this helps!
Final answer:
After rounding 58 tennis balls to the nearest ten, Roger would need to buy approximately 20 canisters, with each canister containing 3 tennis balls.
Explanation:
Roger wants to buy 58 tennis balls and needs to estimate how many canisters he would have to buy if there are 3 tennis balls per canister. To estimate, we round the total number of tennis balls to the nearest tens place. Rounding 58 to the nearest ten gives us 60. To find the number of canisters needed, we divide the rounded number of tennis balls by the number of balls per canister:
60 ÷ 3 = 20 canisters
Therefore, Roger would need to buy approximately 20 canisters to have around 60 tennis balls.
Fraction calculator 66 1/2 - 43=
Answer:
[tex]\frac{47}{2}[/tex]
Step-by-step explanation:
66[tex]\frac{1}{2}[/tex] - 43 = 47/2
Answer:
47/2
Step-by-step explanation:
How many times can 27 go into 224
Use the distributive property to create an equivalent expression to 7x divided by 56 use GCF
Answer:
x/8
Step-by-step explanation:
7x/56=x/8
A class will have 1 test and 5 homework assignments to complete. If the test is worth 80 points and each homework assignment is work 25% of the test, how many points may be earned during this unit?
Answer:
180 points.
Step-by-step explanation:
Given:
A class will have 1 test and 5 homework assignments to complete.
The test is worth 80 points.
Each homework assignment is work 25% of the test.
Question asked:
How many points may be earned during this unit ?
Solution:
By unitary method:
Points may be earned from 1 assignments = [tex]25\% of 80[/tex] (given)
= [tex]\frac{25}{100} \times 80 = \frac{2000}{100} = 20[/tex]
Points may be earned from 5 assignments = [tex]5\times 20 = 100[/tex]
Points may be earned from 1 test = [tex]80[/tex]
Total points may be earned = 100 + 80 = 180
Therefore, 180 points may be earned during this unit.