Answer:
Answer: The speed of Oliver is 24\dfrac{1}{3}24
3
1
pages per hour.
Step-by-step explanation: Given that Oliver reads 28\dfrac{1}{2}28
2
1
pages of a book in 1\dfrac{1}{6}1
6
1
hours.
We are to express his speed in pages per hour.
We will be using the UNITARY method to solve the given problem.
Number of pages read by Oliver in 1\dfrac{1}{6}=\dfrac{7}{6}1
6
1
=
6
7
hours is
=28\dfrac{1}{2}=\dfrac{57}{2}.=28
2
1
=
2
57
.
Therefore, the number of pages read by Oliver in 1 hour is given by
\dfrac{57}{2}\times\dfrac{6}{7}=24\dfrac{3}{7}.
2
57
×
7
6
=24
7
3
.
Thus, the speed of Oliver is 24\dfrac{1}{3}24
3
1
pages per hour.
Step-by-step explanation:
Plz Mark me as brainliest
divide 4,000,000 in the ratio 2 is to 3 is to 4 is to 5 is to 6
Answer:
Step-by-step explanation:
2+3+4+5+6=20
20/20=4,000,000
2/20=?
2/20×4,000,000÷20/20=400,000
20/20=4,000,00
3/20
3/20×4000000÷20/20=600,000
20/20=4,000,000
4/20
4/20×4,000,000÷20/20=800,000
20/20=4,000,000
5/20
5/20×4,000,000÷20/20=1,000,000
20/20=4,000,000
6/20
6/20×4,000,000÷20/20= 1,200,000
2:3:4:5:6=400,000 :600,000: 800,000 : 1,000,000: 1,200,000
What is the angle between the given vector and the positive direction of the x-axis?8i + 6j.
Answer:
The between the given vector and the positive direction of the x-axis is approximately 41.186º.
Step-by-step explanation:
Let be [tex]\vec u = 8\,i + 7\,j[/tex] and [tex]\vec v = i[/tex] (Positive direction of the x-axis), the angle between both vectors can be determined from definition of dot product:
[tex]\vec u \bullet \vec v = \|\vec u\|\cdot \|\vec v\| \cdot \cos \theta[/tex]
Angle is cleared:
[tex]\cos \theta = \frac{\vec u\bullet \vec v}{\|\vec u\|\cdot \|\vec v\|}[/tex]
[tex]\theta = \cos^{-1}\left(\frac{\vec u \bullet \vec v}{\|\vec u\|\cdot \|\vec v\|} \right)[/tex]
The norms of [tex]\vec u[/tex] and [tex]\vec v[/tex] are found by Pythagorean Theorem:
[tex]\|\vec u\| = \sqrt{8^{2}+7^{2}}[/tex]
[tex]\|\vec u\| \approx \sqrt{113}[/tex]
[tex]\|\vec v\| = 1[/tex]
The dot product between both vectors is:
[tex]\vec u \bullet \vec v = (8)\cdot (1) + (6)\cdot (0)[/tex]
[tex]\vec u \bullet \vec v = 8[/tex]
The angle is now calculated:
[tex]\theta = \cos^{-1}\left(\frac{8}{\sqrt{113}} \right)[/tex]
[tex]\theta \approx 41.186^{\circ}[/tex]
The between the given vector and the positive direction of the x-axis is approximately 41.186º.
identify the method that will be used to solve for x for each equation. 4x = 20 5x + 6x = 22
Step-by-step explanation:
Identify the method that will be used to solve for x for each equation.
4x=20 division property fo equality
x-11=9 addition property of eqaulity
5x+6x=22 Combining Like terms
5(x-2)=30 distibute property
Answer:
ello
Step-by-step explanation:
Identify the method that will be used to solve for x for each equation.
4x=20 division property fo equality
x-11=9 addition property of eqaulity
5x+6x=22 Combining Like terms
5(x-2)=30 distibute property
In a box plot, if there is an outlier shown in the picture below, what is considered the min? The outlier or 59?
Step-by-step explanation:
The outlier is excluded, so the minimum is 59.
Mark used the money from his saving account for a down payment for a car. Money in his savings account is an example of a
3
Personal finance
Answer:
Personal finance
Step-by-step explanation:
Personal finance is a technical term in which a person or group of persons pool resources together for the purpose of budgeting, saving, or spending as they deem fit.
Money in Mark's saving account that he used as a down payment for his car is an example of personal finance.
Michael earns $10 per hour. He regularly works 40 hours per week.
How many overtime hours would he have to work in a week for his
overtime pay to be greater than his regular gross pay?
5. Tania earns $13.50 per hour at the Glendale Florist. She regularly works 40 hours per week. She is paid time-and-a-half for each hour of overtime work. Last week she worked. 43 hours. What was her gross pay for the ...
Missing: michael | Must include: michael
Translate and solve: 24.67 is what percent of 129? Rounded to the nearest tenth of a percent.
Answer:
31.8
Step-by-step explanation:
24.67x129
=>31.82
=>31.8
Can you solve 2g - 13 = 3.
g=
Steps to solve:
2g - 13 = 3
~Add 13 to both sides
2g = 16
~Divide 2 to both sides
g = 8
Best of Luck!
The solution to the equation 2g - 13 = 3 is g = 8.
To solve the equation 2g - 13 = 3 for g, we'll perform the necessary steps to isolate the variable g on one side of the equation.
Starting with the given equation:
2g - 13 = 3
First, we'll add 13 to both sides to eliminate the -13 term on the left side:
2g - 13 + 13 = 3 + 13
2g = 16
Next, to isolate the variable g, we divide both sides by 2:
(2g)/2 = 16/2
g = 8
Therefore, the solution to the equation 2g - 13 = 3 is g = 8.
In this equation, we initially have a linear expression involving the variable g and a constant term. By performing algebraic operations, we rearrange the equation to have g on one side and the constant value on the other side. This isolates the variable and provides us with a specific value for g that satisfies the equation. In this case, the value of g is determined to be 8, which can be verified by substituting it back into the original equation to see if it holds true.
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How much is 5 divided by 3/10?
Answer:
16.6666666667
Step-by-step explanation:
Answer:
16 2/3
Step-by-step explanation:
Step 1:
5/1 ÷ 3/10
Step 2:
5/1 × 10/3
Step 3:
50/3
Answer:
16 2/3
Hope This Helps :)
6+4m-1=21
PLEASE HELP! I’m stuck on this question :/
Answer:
m=4
best of luck!
Step-by-step explanation:
Answer:
m=4
Step-by-step explanation:
6+4m-1=21
(6-1=) 5+4m=21
21-5=16
16÷4m = 4
What is the perimeter of the rectangle with length of 2x + 3 and width of 5x – 5? Explain your process to find the perimeter.
Answer:
14x-4
Step-by-step explanation:
length:2x+3
width:5x-5
perimeter of rectangle:2(l+b)
:2(2x+3+5x-5)
:2(7x-2)
:14x-4
•••The perimeter of rectangle(p)=14x-4
A cell phone weighs about 2.8x 10pounds. Which value of n is most reasonable?
-3
-1
0
1
Answer:0
Step-by-step explanation: took the quiz
Joshua is going kayaking with a group during one of his vacation days. In his vacation planning, he budgeted $50 for a kayak rental. How can Joshua determine the number of hours he can rent a kayak for himself?
Answer: Divide Kayak budget by rental rate
Step-by-step Explanation:
As Joshua is renting for himself alone, the two available options would be the Single Kayak and the Single Sea Kayak.
He can determine the number of hours to rent a Kayak for by dividing his Kayak Budget by the rental rate per hour of the 2 options available to him.
Single KayakBudget available = $50
Rental rate = $15 per hour
Hours he can rent = 50/15
= 3.33 hours
Single Sea KayakBudget available = $50
Rental rate = $18 per hour
Hours he can rent = 50/18
= 2.78 hours
Which features describe the graph? Select all that apply
Answer:
- Decreasing
Step-by-step explanation:
im not sure of the last two but the others are for sure a no
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 5√49 − x2
y = 0
x = 2
x = 4
Answer:
V = 4316.75 π
Step-by-step explanation:
Given that:
[tex]y = 5 \sqrt{49 -x^2}[/tex] y = 0, x = 2, x = 4
[tex]V = \pi \int \limits ^{x=4}_{x=2} y^2 \ dx[/tex]
where;
y² = 25 (49 - x²)
[tex]V = 25 \pi \int \limits ^4_2 (49-x^2) dx[/tex]
[tex]V = 25 \pi [ (49x-\dfrac{x^3}{3}]^4_2[/tex]
[tex]V = 25 \pi [ 49\times 4 -\dfrac{4^3}{3} - 2][/tex]
[tex]V = 25 \pi [ 196-21.33 - 2][/tex]
[tex]V = 25 \pi [ 172.67][/tex]
V = 4316.75 π
plzzz help A model train is on a track 100 cm from its starting point. Turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. Which equation models the position of the train along the track after you turn the switch? A. |x − 25| = 100 B. |x − 100| = 25 C. |x + 25| = 100 D. |x + 100| = 25
Answer: B. |x-100| = 25
Explanation:
Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.
The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.
The equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.
What is an equation?One-variable linear equation The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.
The train's location is indicated by the value of x. Therefore, if x were to equal, let's say, 85, it would be at position 85 on the number line.
The distance between x and 100 is expressed as |x-100|. The distance will never be negative thanks to the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.
Therefore, the equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.
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-2times(3+8divided4)2
Answer:
20
Step-by-step explanation:
Answer:-20
Step-by-step explanation: 8/4+3=5 then -2*5 =-10*2 =-20
2a+4b-a+2b=???
Where do I start
14 + 3c = 35 la respuesta de esta también porfa se los agradezco que sea con el trabajo completo gracias oh
The area of a triangle is 11.5 square in the base is 23 in what is the height in inches
Answer:
Height = 1 inch
Step-by-step explanation:
area of triangle = 1/2 x base x height
11.5 =1/2 x 23 x height
23/23 = height
height = 1
h = 1 inches
Step-by-step explanation:The area of a triangle = formula
A = b×h/2
2A = b×h
h = 2A/b
h = 2×11.5in²/23in
= 23in²/23in
= 1 in
Hello, please help with this question. Thanks.
Answer:
x = 17
Step-by-step explanation:
4x +22 = 90
4x = 68
x = 68/4
x = 17
24x - 22 = -4 (1 - 6x)
Answer:
ffdfssss
Step-by-step explanation:
fdfdfdfd
Answer:
x is invalid.
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Remember to follow PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, distribute -4 to all terms within the parenthesis:
-4(1 - 6x) = (-4 * 1) + (-4 * -6x) = -4 + 24x
24x - 22 = -4 + 24x
Isolate the variable, x. Subtract 24x from both sides:
24x (-24x) - 22 = -4 + 24x (-24x)
0 - 22 = -4 + 0
-22 ≠ -4, therefore, this question is invalid.
~
2/3+1/3x=2x
x=1/2
x=5/2
x=2
x=2/5
Answer:
x = 2/5
Step-by-step explanation:
Solve for x:
x/3 + 2/3 = 2 x
Hint: | Combine x/3 + 2/3 into a single fraction.
x/3 + 2/3 = (x + 2)/3:
(x + 2)/3 = 2 x
Hint: | Make (x + 2)/3 = 2 x simpler by multiplying both sides by a constant.
Multiply both sides by 3:
(3 (x + 2))/3 = 3×2 x
Hint: | Cancel common terms in the numerator and denominator of (3 (x + 2))/3.
(3 (x + 2))/3 = 3/3×(x + 2) = x + 2:
x + 2 = 3×2 x
Hint: | Multiply 3 and 2 together.
3×2 = 6:
x + 2 = 6 x
Hint: | Move terms with x to the left hand side.
Subtract 6 x from both sides:
(x - 6 x) + 2 = 6 x - 6 x
Hint: | Combine like terms in x - 6 x.
x - 6 x = -5 x:
-5 x + 2 = 6 x - 6 x
Hint: | Look for the difference of two identical terms.
6 x - 6 x = 0:
2 - 5 x = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 2 from both sides:
(2 - 2) - 5 x = -2
Hint: | Look for the difference of two identical terms.
2 - 2 = 0:
-5 x = -2
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -5 x = -2 by -5:
(-5 x)/(-5) = (-2)/(-5)
Hint: | Any nonzero number divided by itself is one.
(-5)/(-5) = 1:
x = (-2)/(-5)
Hint: | Simplify the sign of (-2)/(-5).
Multiply numerator and denominator of (-2)/(-5) by -1:
Answer: x = 2/5
Answer: [tex]x=2/5[/tex]
Simplify both sides of the equation
[tex]1/3x+2/3=2x[/tex]
Subtract 2x from both sides
[tex]1/3x+2/3-2x=2x-2x\\-5/3x+2/3=0[/tex]
Subtract 2/3 from both sides
[tex]-5/3x=2/3-2/3=0-2/3\\-5/3x=-2/3[/tex]
Multiply both sides by 3/-5
[tex](3/-5)*(-5/3x)=(3/-5)*(-2/3)\\x=2/5[/tex]
0.2121 repeating as fraction
is y+2=8 an expression
Answer:
no
Step-by-step explanation:
hope this helps
Use the simple interest formula to determine the missing value. p =$1325, r =?t=2 years I=$37.10 r=?% (Do not round until the final answer. Then round to one decimal place as needed.)
Answer:
r = 1.4 %
Step-by-step explanation:
given p(principle) is 1,375$, r(interest rate) is unknown, t(time in years) is 2, and I(Interest / final balance) is 37.10$. The simple interest formula: I = prt can be rewritten as: r = I/pt to solve for r. 37.1 / ( 1325 × 2 ) = 37.1 / 2650 = 0.014 = ( 0.014 * 100 ) % = 1.4 %
Jade had $520 to spend on extra items this month. She spent .15 on art supplies, 1 10 was spent at the book store, 3 5 was spent at Chicka-fila. How much did she have left of her extra money?
Answer:
515.25 is what she got left
Step-by-step explanation:
What is the sum of 9+10 (;
Answer:
19 or 21.
Step-by-step explanation:
I swear.
5 + 5 = 10
10 + 5 = 15
15 + 4 = 19
________________
9 + 9 = 18
18 + 10 = 28
28 - 5 = 23
There are two nines so
23 - 2 = 21
What is expression is equivalent to 210,704? Is it 20,000+10,000+700+4. 200,000+10,000+700+4. Or 200,000+10,000+700+40??
Answer:
200,000+10,000+700+4
Step-by-step explanation:
the number in each block is the sum of the numbers in the two blocks beneath it. Some of the numbers are hidden. What is the value of y - x
Answer:
y - x = 69
Step-by-step explanation:
From the figure attached,
Number in each block is the sum of the numbers in the block beneath it.
Therefore, A + 21 = 32 ⇒ A = 11
A + 5 = B ⇒ B = 16
C = 5 + x
D = 32 + B ⇒ D = 32 + 16 = 48
E = B + C ⇒ E = 16 + (5 + x)
⇒ E = 21 + x
y = D + E ⇒ y = 48 + (21 + x)
y = 48 + 21 + x
y = 69 + x
y - x = 69
Therefore, y - x = 69 will be the answer.