Answer: 12 weeks
Step-by-step explanation:
Let the week that both of them will have thesame amount of money be represented by x.
Since Mary already has $30 and is able to save $5.50 every week, this will be denoted as: 30 + 5.50x
Since Bill already has $45 and is able to save $4.25 every week, this will be debited by 45 + 4.25x. Then we'll equate both equations and this will be:
30 + 5.50x = 45 + 4.25x
5.50x - 4.25x = 45 - 30
1.25x = 15
x = 15/1.25
x = 12
They'll have thesame amount of money in 12 weeks.
Simplify (x-4)(3x^3-6x+2)
Answer:
Step-by-step explanation:
[tex](x-4) (3x^{3} -6x+2)[/tex]
= [tex]3x^{4} -6x^{2} +2x -12x^{3} +24x-8[/tex]
= [tex]3x^{4} -12x^{3} -6x^{2} +26x-8[/tex]
I hope this helps and the working out is clear. :)
The length of a rectangle is five times its width.
If the perimeter of the rectangle is 72 m, find its length and width.
Answer:
length =30m width=6m
hope it helps
A ball is thrown straight up into the air. The table shows the data collected over t seconds, where h(t) is the height of the ball, in feet.
A 2-column table with 6 rows titled Height of Ball over Time. The first column is labeled t with entries 0, 1, 2, 3, 4, 5. The second column is labeled h(t) with entries 0, 64, 96, 96, 64, 0.
Which statement is true?
The initial height of the ball is 96 feet.
The ball will hit the ground between 2 and 3 seconds after it was thrown.
The maximum height of the ball must be 96 feet.
The maximum height of the ball was 2.5 seconds after it was thrown.
Answer:
d
Step-by-step explanation:
2021 edge
Answer:
d
Step-by-step explanation:
Sarah is going from home to school then to the library to study and finally to the part to meet with friends before going home. Find the distance Sarah will travel today based on the locations of each stop on the coordinate plane. Include:
Distances between all 4 locations
Total distance
The method used for each calculation
Sarah’s house (2,-5)
The school (2,4)
Library (-3,4)
Park (-3,-5)
Answer:
i) The distance between Sarah's house and the school is 9
ii) The distance between the school and the library is 5
iii) The distance between the library and the park is 9
iv) The distance between the park and Sarah's house is 5
2) The total distance Sarah travels is 28
Step-by-step explanation:
The given coordinates of the locations are;
Sarah's house (2, -5)
The school (2, 4)
Library (-3, 4)
Park (-3, -5)
Sarah's journey is; From the house → The school → Library → Park → House
The distance, d, between two coordinate points, (x₁, y₁) and (x₂, y₂) is given as follows;
d = [tex]\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
i) Therefore, the distance between Sarah's house ((x₁, y₁) = (2, -5)) and the school ((x₂, y₂) = (2, 4)), d₁, is d₁ = √((2 - 2)² + (4 - (-5))²) = 9
Sarah's house → The school = 9
ii) The distance between the school ((x₁, y₁) = (2, 4)), and the library, ((x₂, y₂) = (-3, 4)), d₂ = √((-3 - 2)² + (4 - 4)²) = 5
The school → Library = 5
iii) The distance between the library ((x₁, y₁) = (-3, 4)), and the park ((x₂, y₂) = (-3, -5)), d₃ = √((-3 - (-3))² + (-5 - 4)²) = 9
The library → The park = 9
iv) The distance between the park ((x₁, y₁) = (-3, -5)), and Sarah's house ((x₂, y₂) = (2, -5)), d₃ = √((2 - (-3))² + (-5 - (-5))²) = 5
The park → Sarah's house → 5
2) The total distance = 9 + 5 + 9 + 5 = 28.
The median observation are arranged in ascending are 72,74,75,5x-10,3x+30,85,88,94.If the median mark is 82 ,find the value of x
Step-by-step explanation:
The position of the median of an even data set is 1/2(8+1)=4.5
That is between two values, 4 and 5.
(5x-10+3x+30)/2=82
(8x+20)/2=82
(8x+20)=41
8x=41-20
8x=21
x=21/8
Please help as soon as possible.
Answer:
C = 37.6991
Step-by-step explanation:
The equation for the circumference of a circle is given: C = π · d
where, d is the diameter of the circle.
Plug in the value of d = 12 and use the π button on the calculator.
C = π · 12
C = 37.6991
48 is exactly divisible by
Answer:
2, 3, 4, 6, 8, 12, 16, 24, 48.
Step-by-step explanation:
Factors of 48 is 2, 3, 4, 6, 8, 12, 16, 24, 48.
48 is exactly divisible by factors of 48.
98 divide by 76
76 multiple by 86
Answer:
98/76= (rounded to the nearest thousandth) 1.289.
The number -8 lies to the right of ___________ on the number line.
8
0
-6
-12
Answer:
-6
Step-by-step explanation:
-123456789101112131415
1234+1234567912345678901342=?
12345678912345678902576
If there are 3000 people in a room, what is the probability they have watched a video with 80k views?
Answer:
The answer is 26.667 ..
Step-by-step explanation:
80k/3000
It costs $10 to play football for one-half hour. How many 10-dollars bills do we need to play football for 6 hours?
Answer:
12
Step-by-step explanation:
how many half hours in 6 hours ?
it is
6/(1/2) = 6/1 / 1/2 = 6×2 / 1/1 = 12 / 1 = 12
The doubling time of a population of flies is 5 hours. By what factor does the population increase in 29 hours? By what factor does the population increase in 3 weeks?
Answer:
If it doubles every 8 hours then
population = initial population * 2 ^ (hours / 8)
********************************************---------
after 26 hours
population increases by a factor of
2 ^ (26 / 8) = 9.51365692
************************************************--------
after 1 week, or 168 hours
population increases by a factor of
2 ^ (168 / 8) = 2 ^ 21 = 2,097,152
50 points
128:x = 4:3
Solve for x
Answer:
x = 96
Step-by-step explanation:
[tex]\frac{128}{x}: \frac{4}{3}[/tex]
x · 4 = 128 · 3
4x = 384
4x ÷ 4 = 384 ÷ 4
x = 96
How is the solution set of the sentence below described? X + 5 < 7
A. {All numbers less than 7/5}
B. {All numbers less than 2}
C. {All numbers less than 7}
D. {All numbers less than 12}
E. None of these
Answer:
B. {All numbers less than 2}
Step-by-step explanation:
X + 5 < 7
Subtract 5 from each side
X + 5-5 < 7-5
x<2
All numbers less than 2
whose perfect square should be added to the sum of the greatest three-digit prime number and the smallest two-digit prime number, so that the resultant number is perfect square of 32?
The greatest 3 digit prime number is 997 and the smallest 2 digit prime number is 11. 997+11 = 1008
32^2 = 1024
1024-1008 = 16.
root(16) = 4
A 240hp automobile engine delivers 195hp to the drive wheels, what is the effciency of the transmission and drive mechanism?
Answer:
81.25%
Step-by-step explanation:
Given that :
Engine power = 240 hp
Power delivered to drive wheel = 195 hp
Efficiency = (power delivered to drive wheel / Engine power) * 100%
Efficiency = (195 / 240) * 100%
Efficiency = 0.8125 * 100%
Efficiency = 81.25%
The efficiency of transmission and drive mechanism is 81.25%
What is the y-intercept of the line 2x-4y=8
Answer:
The y intercept is -2
Step-by-step explanation:
Hi there!
We want to find the y-intercept of the line 2x-4y=8
The y-intercept is the point in where the line passes through the y axis. This means that the value of x at the y intercept is 0.
So substitute 0 as x into the equation
2(0)-4y=8
Multiply
0-4y=8
Simplify
-4y=8
Divide both sides by -2
y=-2
The y intercept is -2. If you need it as a point, it's (0, -2)
Hope this helps!
Point A(3,8)
and point B(−1,1)
are located within the coordinate plane.
what is the distance from A to B?
Answer:
[tex]\displaystyle d = \sqrt{65}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point A(3, 8)
Point B(-1, 1)
Step 2: Find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-1 - 3)^2 + (1 - 8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-4)^2 + (-7)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{16 + 49}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{65}[/tex]Answer:
8.1
Step-by-step explanation:
the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)
ASApppppppppppppppppppppppppppppppppppppp
Answer:
15/8
Step-by-step explanation:
Skip. Flip. Multiply.
- 1/3 becomes 3/1.
3 * 5 is 15.
8 * 1 is 1.
Negatives cancel out.
Answer:
=
[tex] \frac{ 15}{8} [/tex]
That's the answer
A golf ball has a diameter of 1.68 inches. What is its volume? Use 3.14 for – and round your answer to the nearest hundredth.
Answer:
Volume of the ball = 2.48 inch³
Step-by-step explanation:
A golf ball is in the shape of a sphere.
Therefore, volume of the ball will be given by,
Volume = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = Radius of the ball
By substituting the value of 'r' in the formula,
Volume of the golf ball = [tex]\frac{4}{3}\pi (\frac{\text{Diameter}}{2})^{3}[/tex]
= [tex]\frac{4}{3}(3.14) (\frac{\text{1.68}}{2})^{3}[/tex]
= [tex]\frac{4}{3}(3.14) (0.84)^{3}[/tex]
= 2.482 inch³
≈ 2.48 inch³
The DJ charges $75 plus $50
each hour. Which equation
shows the cost (c) for any
number of hours (h)?
A. 75h + 50h = C
B. 75 +50h = C
C. 75h + 50 = C
D. 125h = C
13.6 divided by 0.81 simplified.
Answer:
16.8
Step-by-step explanation:
Sadi wanted to compare the fractions 2 3 and 5 9 using common denominators. His work is shown below. The common denominator is 9. Two-thirds times one-third = two-ninths. Two-ninths less-than five-ninths. So, two-thirds is less-than five-ninths. What errors did Sadi make? Check all that apply. The common denominator is 6, not 9. He should have multiplied by, not . He should have gotten a common numerator, not a common denominator. The fraction is greater than , not less than
Answer:
He should have multiplied by [tex]\frac{3}{3}[/tex] and not [tex]\frac{1}{3}[/tex]
The fraction is greater than
Step-by-step explanation:
Given
[tex]\frac{2}{3}\ \&\ \frac{5}{9}[/tex]
Sadi's steps are:
The common denominator is 9.
[tex]\frac{2}{3} * \frac{1}{3} = \frac{2}{9}[/tex]
[tex]\frac{2}{9} < \frac{5}{9}[/tex]
So:
[tex]\frac{2}{3} < \frac{5}{9}[/tex]
Required
Sadi's error
Her first error is that: he should have multiplied by [tex]\frac{3}{3}[/tex] and not [tex]\frac{1}{3}[/tex]
This is so because, whatever factor is multiplied to the numerator has to be multiplied to the denominator, as well.
So, we have:
[tex]\frac{2}{3} * \frac{3}{3} = \frac{6}{9}[/tex]
By comparison:
[tex]\frac{6}{9} > \frac{5}{9}[/tex]
So, his second error is that: the fraction is greater than
Answer:
B. He should have multiplied 2/3 by 3/3 not 1/3
D. The fraction 2/3 is greater than 5/9, not less
than 5/9.
Step-by-step explanation:
Just did it on EDGE2021 and got it right :D
Solve for x the given angle measure at the top right is 57 degrees and the given angle measure in the lower left is (x+3) degrees
Answer:
54
Step-by-step explanation:
the 2 lines are parallel and the line going through is a transversal.
because of vertical angles, the x+3 is equal to the angle diagonal to it.
that diagonal angle is equal to the top right one (57˚) by same side interior angle thereom. So intern, x+3 = 57
x = 54
What is the value of y?
Answer:
C
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angles
y + y = 130
2y = 130
Divide both sides by 2
y = 130/2
y = 65
Answer:
C.65
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
y+y = 130
2y = 130 divide both sides by 2
y = 65
a room in a form of a cuboid has a length of 5cm, height 8cm and breadth 0.07m. if one person can occupy a volume of 14cm3(cube). what is the maximum number of people needed to fill the room
Answer:
20 people
Step-by-step explanation:
The volume of a cuboid is equal to length * breadth * height.
First, we want to figure out the values relative to each other. Everything is in centimeters except the breadth, which is 0.07m. To convert meters to centimeters, we can multiply by 100: 0.07 * 100 = 7, so the breadth is 7cm.
Next, the volume is length * breadth * height = 5cm * 7cm * 8cm = 280cm³. Each person occupies 14cm³. To find how many people can occupy the cube, we can divide the volume by the space each person takes, so
280cm³/14cm³ = 20 people
Note that we can divide because each person takes x amount of space, and the total space, z, can be represented by x * y = z, with y representing the amount of people, because we add x space for each person. Dividing both sides by x, we get y = z/x
Use the formula to compute Isabel’s monthly loan payment, assuming that she makes a down payment of $5,000. Recall that the table shows she’ll finance $16,950, and her interest rate is 4.3%.
Type the correct answer in the box. Round the answer to the nearest dollar.
Isabel’s monthly loan payment will be about $
.
Answer:
314
Step-by-step explanation:
unit activity
2) Find the sum of the first 50 terms of the
following series, to the nearest integer.
6, 10, 14,...
Answer:
The sum of the first 50 is 5200
Step-by-step explanation:The given sequence is a linear sequence.
So, first we calculate the common difference
d=t2-t1
d=10-6=4
The sum of the first 50 terms is then calculated using: sorry it wont let me copy and paste my explo and im lazy
Answer:
5,200
Step-by-step explanation:
6, 10, 14, ...
Sum = [ number of terms(first term+last term) ] / 2
-we know there are 50 terms
-we now the first term is 6
-we need to find the last term
last term = first term + (n-1)* difference between first and second term
last term = 6 + (50-1) * (10-6)
last term = 6 + 49*4 = 202
Sum = [ number of terms(first term+last term) ] / 2
Sum = [ 50 ( 6 + 202) ] / 2 = 5,200
complete the given magic square with consecutive numbers from 6 to 14 having magic constant 30
Step-by-step explanation:
the answer is in the image above
The required magic square with consecutive numbers from 6 to 14 having a magic constant of 30 is.
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
What is a magic square?A magic square is a square grid filled with consecutive integers in a way that all rows, columns, and diagonals have the same sum, known as the magic constant.
Here,
To complete the given magic square with consecutive numbers from 6 to 14 having a magic constant of 30, we can follow these steps:
Step 1: Write the partially filled magic square:
Step 2: Calculate the sum of the known numbers:
Step 3: Calculate the sum of the missing numbers:
Step 4: Distribute the missing numbers in the empty cells in a way that the sum of all rows, columns, and diagonals is equal to the magic constant of 30.
We know that the center cell must be 12, because it is the only cell that can be part of three different diagonals.
We can check that all rows, columns, and diagonals add up to 30:
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
Learn more about magic square here:
https://brainly.com/question/28675556
#SPJ2
