Answers
Answer:
2.7 hours
Step-by-step explanation:
We can use the formula
1/a + 1/b = 1/c
where a and b are the times working alone and c is the time working together
1/8 + 1/b = 1/2
Multiply each side by 8b to get rid of the fractions
8b( 1/8 + 1/b = 1/2)
b + 8 = 4b
Subtract b from each side
b+8-b = 4b-b
8 = 3b
Divide each side by 3
8/3 = 3b/3
2.666666repeating = b
Round to 1 decimal place
2.7 = b
Answer:
2.7 hr
Step-by-step explanation:
2/8 +2/x = 1
2x+16 =8
16/8
x=8/3 =2.7
Related Questions
In a mathematics class, half of the students scored 89 on an achievement test. With the exception of a few students who scored 48, the remaining students scored 79. Which of the following statements is true about the distribution of scores?
A. The mean is less than the median.
B. The mean and the median are the same.
C. The mean is greater than the mode.
D. The mean is greater than the median.
Answers
Answer:
A. The mean is less than the median.
Step-by-step explanation:
Half the students scored 89. The next highest score is 79. So the median is (79 + 89) / 2 = 84.
A few students scored 48, so the mean is slightly lower than the mean of 79 and 89.
Therefore, the mean is less than the median.
Answer:
A. The mean is less than the median.
Step-by-step explanation:
Say that half the students answered 79, and the rest 89.
We'd have a distribution something like this:
79 79 79 89 89 89
The median is in the smack middle. Since we have an even number of scores, the median would be the number between the 2 middle numbers. Here, that's 79 and 89. Thus, the median is 84.
The mean is the "average" of all values. Since we have an equal number of 79s to 89s, the mean would also be in the middle of those values (balancing an equal number on both sides). So, the mean would also be 84.
HOWEVER, we have an unspecified number of 48's.
The distribution looks something like
48 79 79 89 89 89
The median is still the same, smack middle between the 2 values in the middle. 84.
But the mean has changed. We have smaller values on the left. The mean is brought down by these 48 values. It doesn't matter how many, the fact that we have at least 1 will bring the mean, the average, down.
Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height doubled. If Keith is now 34cm taller than his nephew, what is their total current height?
Answers
Answer:
314 cm
Step-by-step explanation:
If Keith's height is 15x and his nephew's height is 7x, we can write the following equation:
1.16 * 15x = 34 + 7x * 2 -- (We get the 1.16 from the 16% increase)
17.4x = 34 + 14x
3.4x = 34
x = 10 so Keith's current height is 1.16 * 15 * 10 = 174 cm and his nephew's height is 174 - 34 = 140 cm for a total current height of 174 + 140 = 314 cm.
Which operation involving complex numbers requires the use of a conjugate to be carried out?
Answers
Answer:
The correct answer will be "Division".
Step-by-step explanation:
The procedure represents numerous values requiring something like a conjugate to have been done becomes division, since the denominator conjugate multiplies the numeric values including its quotient to represent the quotient of several complex numbers throughout the standard language.It is indeed a method used to separate a set of items across equal proportions.
Find the circumference and the area of a circle with diameter 2 cm.
Use the value 3.14 for pie, and do not round your answers. Be sure to include the correct units in your answers.
Answers
Answer:
Hey There!! The question to this is: The circumference and the area of the circle are 6.28 yards and 3.14 yd² respectively. The Circumference: This is defined as the distance around a circle.
The circumference of a circle is
P = πd............................. Equation 1
Where p = circumference of the circle, d = diameter of the circle
Area: This is the region bounded by a plane surface.
The area of a circle is
A = πd²/4 .................................. Equation 2
Where A = area of the circle, π = pie = constant.
Given: d = 2 yd.
Constant: π = 3.14
Substituting these values into equation 1 and 2 respectively.
P = 3.14(2)
P = 6.28 yard.
P = 6.28 yd
and
A = 3.14(2)²/4
A = 3.14×4/4
A = 3.14 yd²
Thus the circumference and the area of the circle are 6.28 yards and 3.14 yd² respectively.
Hope This Helped!~ ♡
ItsNobody~ ☆
Two co-interior angles
formed between the
two parallel lines are in the ratio of 11.7.
Find the measures
of angles
Answers
Answer:
110° and 70°
Step-by-step explanation:
The angles are supplementary, thus sum to 180°
sum the parts of the ratio, 11 + 7 = 18
divide 180° by 18 to find the value of one part of the ratio
180° ÷ 18 = 10° ← value of 1 part of the ratio
Thus
11 parts = 11× 10° = 110°
7 parts = 7 × 10° = 70°
The angles are 110° and 70°
Help fast please!! Which expression is equivalent to..
Answers
Answer:
1/8 = 2³ * 2⁻⁶
Step-by-step explanation:
2³ * 2⁻⁶ = 2³⁻⁶ = 2⁻³ = 1/2³ = 1/(2*2*2) = 1/8
Compute
3/10 + 3/5 - 1/5
Answers
Answer:
7/10
Step-by-step explanation:
3/10 + 3/5 - 1/5
Combine like terms
3/10 + 2/5
Get a common denominator of 10
3/10 + 2/5 * 2/2
3/10 +4/10
7/10
Answer:
7/10
Step-by-step explanation:
You want to first get all common denominators, in this case that will be 10.
It is now (3/10)+(6/10)-(2/10)
3+6-2=7
7/10
4x +16 x+4
Simplify your answer as much as possible.
Answers
Answer:
20x+4
Step-by-step explanation:
The like terms here are 4x and 16x .
This will give us the answer 20x.
As there is no other like term for 4, we just add it in 20x.
This gives us the final answer of 20x+4.
Thankssssss :)))))))
What’s the difference between rational and irrational numbers?
Answers
Answer:
rational numbers are perfect squares irrational numbers are non terminating/go on forever
Step-by-step explanation:
What are the lower quartile, upper quartile, and median for this box and
whisker plot?
A) LQ = 22 UQ = 10 Median = 18.5
B) LQ = 10 UQ = 22 Median = 18
C) LQ = 10 UQ = 22 Median = 18.5
D) LQ = 10 UQ = 22 Median = 19
Answers
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The lower quartile range is shown by the bottom of the box which is at 10.
The median is shown in the middle line, which is closer to 18 than 18.5.
The upper quartile range in the end of the box, which is at 22!
(You can also look at the picture attached if that helps.)
Convert each number to scientific notation or standard notation.
1.0395 × 10^9
4 × 10^2
Answers
Answer:
1)1,0395x10^9
2)its already in scientific notation?
If you write it in standard notation, which is actually just regular notations it's 400.
Step-by-step explanation:
Scientific notation can be used to represent very large or small numbers. A number written in scientific notation will have one non-zero digit to the left of the decimal point, multiplied by a power of 10 , with the power corresponding to the amount of places the decimal should move.
HELP ME PLZZzzzzzzzz
Answers
Answer:
5 cm
Step-by-step explanation:
The volume (V) of milk in the container is calculated as
V = 8 × 15 × 12 = 480 cm³
After change of position with depth d then
8 × 15 × d = 480
120d = 480 ( divide both sides by 120 )
d = 4 cm
dy
If x= 15t2 and y= 10t2, find
dx
Answers
Answer: x' = 30t
y' = 20t
Step-by-step explanation:
To find the derivative, multiply the exponent to the leading coefficient and decrease the exponent by 1.
x = 15t²
x' = 2 · 15t²⁻¹
= 30t¹
= 30t
y = 10t²
y' = 2 · 10t²⁻¹
= 20t¹
= 20t
Today I would like for you to work one of the following problems and explain your process/reasoning clearly and thoroughly.
Answers
Answer:
Step-by-step explanation:
A line from the center of the circle to bisect a chord is perpendicular to the chord.
Therefore, OA⊥ AS
Join O & R
OR is radius of the circle
ΔOAR is right angled triangle.
Use Pythagorean theorem to find OR
OR² = OA² + RA²
= 3² + 4²
= 9 +16
OR² = 25
OR = √25
OR = 5 cm
OP is radius. Therefore, OP = OR = 5 cm
PA = OP + OA
= 5 + 3
PA = 8 cm
What am I supposed to do when parentheses are side by side like this?
Answers
Answer:
Evaluate each expression inside both grouping symbols, then multiply the result.
Step-by-step explanation:
[tex]\displaystyle (3 - 1)(4 + 2) = (2)(6) = 12[/tex]
G - Grouping Symbols
E - Exponents
M\D - Division & Multiplication [left to right]
S\A - Subtraction & Addition [right to left OR vice versa]
I am joyous to assist you at any time.
what is the reciprical of 4/7?
Answers
Answer:
7/4
Step-by-step explanation:
To find the reciprocal of 4/7, flip the fraction.
The numerator goes in the denominator and the denominator goes in the numerator
7/4
Answer:
7/4
Step-by-step explanation:
Keep it, change it, flip it.
The sum of two consecutive odd integers is at least 36, find the integers
Answers
Answer:
The two integers are greater than or equal to 17 and 19
Step-by-step explanation:
Consecutive odd integers means 1, 3, 5, 7, 9 and so on
That means there is a always a gap of 2 in between each of them. Knowing this, we can set up an equation. Let x represent the first of the consecutive integers.
x+(x+2)=36
x+2 represents the second consecutive interger
x+x=34
2x=34
x=17
The two integers are 17 and 19
The sum of 3 consecutive even numbers is 132
pleaase help!!!
Answers
Answer:
42,44,46
Step-by-step explanation:
we first divide the 132 by the 3 which gives 44
since the numbers involved are even numbers and we know even numbers are numbers divisible by 2 we subtract 2 from the 44 and also add 2 to the 44 the get the rest of the two numbers which is from the above explanation
(44-2),44,(44+2)
42,44,46
we can check whether the above numbers are correct by adding to see whether we get 132
42+44+46=132 which are consecutive even numbers
Answer: 42, 44, and 46
Explanation: Make sure you read through the problem carefully so that you recognize that we are dealing with consecutive even numbers here.
So we can represent our numbers as follows.
X ⇒ first even integer
X + 2 ⇒ second even integer
X + 4 ⇒ third even integer
Since their sum is 132, our equation reads x + (x + 2) + (x + 4) = 132.
Solving from here, we find that x = 42.
So x + 2 is 44 and x + 4 is 46.
Set A={XIX is an even whole number between 0 and 2) = 0
True? or false?
Answers
false
Step-by-step explanation:
false
1. Draw the graph of f(x) = cos x for 0 I know how to construct the graph but I don’t know how to get the figures. Please help
Answers
Answer:
Please refer to the attached figure.
Step-by-step explanation:
Given the function:
[tex]f(x) =cosx \ where\ \{0^\circ\leq x\leq 360^\circ\}[/tex]
OR, the given function can also be written as:
[tex]y = f(x) = cosx[/tex]
We know that graph of cosine is a wave.
and the range of cosine function is [-1, 1]
First of all, let us have a table of values at major values of x.
[tex]x = 0, f(x) = 1\\x = 90, f(x) = 0\\x = 180, f(x) = -1\\x = 270, f(x) = 0\\x = 360, f(x) = 1[/tex]
So, the table of values for f(x) is:
[tex]\begin{center}\begin{tabular}{ c c }x & cosx \\0 & 1 \\90 & 0\\180 & -1\\270 & 0\\360 & 1\\\end{tabular}\end{center}[/tex]
Let us mark these points on the xy coordinate axis where x axis represents value of x and y axis represents value of [tex]f(x) = cosx[/tex] and then join the points using a wave.
Please refer to the attached graph for the answer image.
Consider these three numbers written in scientific notation: 6.5 × 103, 5.5 × 105, and 1.1 × 103. Which number is the greatest, and by how many times is it greater than the smallest number?
Answers
Answer:
6.5×10'3=6,500.
5.5×10'5=550,000
1.1×10'3=1,100
so as u can see the second number is greater
by 548,900
Answer:C
Step-by-step explanation: 5.5 is 500 times better than 1.1 I did the math.
5.5 x 10^5 = 550,000
1.1 x 10^3 = 1,100
500 times greater
factories each of the following −2x2 −20x −18
Answers
Answer:
2(x + 9)(x + 1)
Step-by-step explanation:
First, take out a GCF if possible. Each coefficient is dividable by 2, so 2 is the GCF.-2(x^2 + 10x + 9)
→ The main quadratic equation is equal to ax^2 + bx + c.
Then, use a factoring pattern to factor the expression in parentheses. The factors of C that add up to equal B are the two factors.2(x + 9)(x + 1)
The expression cannot be factored any further.
Write an equation for a line on the graph that passes through the points (0.4) and (12,16)
Answers
Answer:
[tex] y = x + 4 [/tex]
Step-by-step explanation:
Use the two-point form of the equation of a line.
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
[tex] y - 4 = \dfrac{16 - 4}{12 - 0}(x - 0) [/tex]
[tex] y - 4 = \dfrac{12}{12}x [/tex]
[tex] y - 4 = x [/tex]
[tex] y = x + 4 [/tex]
Answer:
y = x + 4
Step-by-step explanation:
An equation for a line looks like:
=> y = mx +b
=> In this equation "m" is the slope.
=> "b" is the y-intercept.
To find the slope:
=> y/x - y1/x1
=> 16/12 - 4/0
=> 16 -4 / 12 - 0
=> 12 / 12
=> 1
So, the slope is 1.
Now our equation looks like:
y = 1x + b
=> y = x + b
Let's take some the values of "x" and "y" of (0,4)
So, our now look like:
=> 4 = 1 (0) + b
=> 4 = b
So, b (y-intercept) = 4
Now, our final equation is:
=> y = x + 4
Think about the proportion and the cross products for this problem: Shelley sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. Because the cross products are equal, which statements are true? Select all that apply.
Answers
3×4·20 equals to 12.6 please thats youre awnser
Answer:
The ratios are equivalent.
The ratios are a proportion.
Step-by-step explanation:
The table shows the number of balls, by sport, in the gym. Select the true statements about the information in the table.
Answers
Answer:
Soccer you use the lease amount of balls and in tennis you use the most
what is 1/2(10x +20y +10z) using the distributive property? also as an equivalent expression?
Answers
Answer:
5x+10y+5z.
Step-by-step explanation:
The given expression is
[tex]\dfrac{1}{2}(10x+20y+10z)[/tex]
We need to find the equivalent expression by using the distributive property.
By using the distributive property, the given expression can be written as
[tex]\dfrac{1}{2}(10x+20y+10z)=\dfrac{1}{2}(10x)+\dfrac{1}{2}(20y)+\dfrac{1}{2}(10z)[/tex]
[tex]=5x+10y+5z[/tex]
Therefore, the required expression is 5x+10y+5z.
what is the no solution, the one solution, and the infinitely many solution of 2x+5+2x+3x
Answers
Answer:
This problem shows an expression, not an equation.
It cannot be solved.
An equation needs an equal sign.
in a group of 240 game lovers, 135 like cricket and 120 like football.
find:How many people like both the game?
Answers
Answer:
15
Step-by-step explanation:
120+135= 255
255 is 15 more than 240.
15 people enjoy both games.
Please answer it now
Answers
Answer:
x = 19
Step-by-step explanation:
The angles of a triangle add to 180
U and S are equal since they are the base angles and UT and ST are equal
S + T + U = 180
x + 26 + 90 + x+26 = 180
Combine like terms
2x +142 = 180
Subtract 142 from each side
2x = 38
Divide each side by 2
2x/2 = 38/2
x = 19
Answer:
19
Step-by-step explanation:
x+26+x+26+90 = 180
2x + 52 = 90
2x = 38
x = 19
A laptop has a listed price of $703.98 before tax. If the sales tax rate is 9.25% , find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.
Answers
Answer:
The cost of the laptop is $769.10Step-by-step explanation:
In this problem we are required to find the cost of the laptop when 9.25% of the cost is added as tax
we are given that the tax rate is 9.25% of the initial cost
and the initial cost is $703.98
let us calculate 9.25% of $703.98
(9.25/100)* 703.98= 0.0925*703.98= $65.12
Hence the charges for tax is $65.12
The total cost of the laptop when tax is included is
the initial cost Plus the tax charges= $703.98+$65.12= $769.098
$769.10
