Elam can wire a light in 40
minutes. Michael can wire a
light in 60 minutes. How long
would it take them to wire the
light together?
Answer:
24 minutes
Step-by-step explanation:
We use 1/a + 1/b = 1/c
where a and b are the individual times and c is the time together
1/40 + 1/60 = 1/c
Multiply each side by 120c
120c( 1/40 + 1/60 = 1/c)
3c + 2c = 120
5c = 120
Divide each side by 5
5c/5 = 120/5
c = 24
Answer: 24 minutes
Step-by-step explanation: To solve this kind of a problem which is called a work problem, it's important to understand the following idea.
Since Elam can wire a light in 40 minutes, we know that in 1 minute,
Elam can wire 1/40 of the light and in 2 minutes, Elam can wire 2/40 of it.
Therefore, in t hours, Elam can wire t/40 of the light.
The same applies for Michael, in t hours, he can wire t/60 of the light.
So to solve the problem, we use the following formula:
Part of job done by Elam + part of job done Michael = 1 job done
The part of the job done by Elam is t/40 and t/60 for Michael.
So we have t/40 + t/60 = 1.
Now multiply both sides by 120 to get 3t + 2t = 120
or 5t = 120 so t = 24.
So it takes 24 minutes if they work together.
In ΔABC, the measure of ∠C=90°, BC = 16 feet, and AB = 48 feet. Find the measure of ∠B to the nearest tenth of a degree.
Answer:
70.5º
Step-by-step explanation:
cosB = adj/hyp
cosB = 16/48
cosB = 1/3
B = arccos 1/3
Use calculator
∠B = 70.5º
Find the median and mean of the data set below:
5, 7, 3, 36, 7, 23
Ed
Answer: mean is 13.5 and median is 7
Step-by-step explanation:
to get median you do (7+7)/2 and get 7 and for the mean you just add all of the numbers and divide by how many numbers there are. Basically it is 81/6 to get 13.5
Answer:
Median = 7
Mean = 13.5
Step-by-step explanation:
To find the median, put them in increasing order:
3, 5, 7, 7, 23, 36
cross out the values on the ends until you meet in the middle:
/, 5, 7, 7, 23, /
/, /, 7, 7, /, /
Find the average of the two middle numbers: (7+7)/2 = 7
Median = 7
For the mean, add all numbers and divide by the amount of numbers you have:
3 + 5 + 7 + 7 + 23 + 36 / 6
=81/6
= 13.5
Which of the following measures can have more than one value for a set of data?
© Median
- Mode
© Mean
© None of these
Answer:
mode
Step-by-step explanation:
the area of a carpeted closet is 20 square feet . if the width of the closet is 3/2 feet , what is the width ?
Answer:
Length = 40/3 or 13.33 feet
Step-by-step explanation:
Given the following data;
Area of carpet = 20 feet
Width = 3/2 feet
To find the length of the carpet
Assuming that the shape of a carpeted closet is rectangular.
Area of rectangle = length * width
20 = length * 3/2
Multiplying both sides by 2/3
2/3 * 20 = length * 3/2 * 2/3
40/3 = length
Length = 40/3 or 13.33 feet
what is the reciprocal of 9/7?
Answer:
its 7/9
Step-by-step explanation:
you just have to flip the fractions
Answer:
7/9
Step-by-step explanation:
Flip the fraction
A cylinder has a radius of 8 cm and a height of 4 cm what is the approximate value of the surface area of the cylinder
Area of cylinder = curved area + 2 x base circle
Circles = 2 x π(8)² = 128π cm²
Curved area = circumference of circle x height of cylinder
Circumference of circle = 2πr = 2π(8) = 16π cm
Curved area = 16π x 4 = 64π cm²
Total surface area = 128π + 64π = 192π cm² = 603.19cm² (5sf)
Need help I really do pls my going to get a f and I don’t want to repeat
1. -2<2 2. -4> -5. -20<20. -7>-8. -10<-1. 50>-100
Parker is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with three equal-sized sections labeled Walk, Run, Stop, and spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday?
Answer:60
Step-by-step explanation:
4*3*5
help asap will mark branniest thx
Answer:
[tex](\pi)r ^{2} h \div 3[/tex]
Volume = 3.14 × 5² ×6 ÷ 3
volume = 157 cm³ B
find the solution for x if |6x+8|=32
Answer:
X = 4
Step-by-step explanation:
6x + 8 = 32
6x = 32 - 8
6x = 24
x = 4
the solution is X = 4.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
here, we have,
6x + 8 = 32
6x = 32 - 8
6x = 24
x = 4
hence, the solution is x=4.
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I need help asap thank you
Answer:
H
Step-by-step explanation:
2x^+7x - 15= 0 If r and s are two solutions of the equation above and r > s which of the following is the value of r-s?
Answer:
6.5
Step-by-step explanation:
You failed to include the choices
Can someone help me please?
9514 1404 393
Answer:
[tex]\textsf{B.}\ \ 6x-1+\dfrac{-11x+8}{x^2+3}[/tex]
Step-by-step explanation:
See the attachment for the working out of the long division.
-1/2+(3/4x419) =
A. 1/9
B. 5/6
C. -1/5
D. -1/6
9514 1404 393
Answer:
D. -1/6
Step-by-step explanation:
Your calculator can tell you the answer to this.
[tex]-\dfrac{1}{2}+\left(\dfrac{3}{4}\cdot\dfrac{4}{9}\right)=-1/2+\dfrac{4\cdot3}{4\cdot9}=-\dfrac{1}{2}+\dfrac{3}{9}\\\\=-\dfrac{1}{2}+\dfrac{1}{3}=-\dfrac{3}{6}+\dfrac{2}{6}=\boxed{-\dfrac{1}{6}}[/tex]
Nuts Berry Farm sells nuts for $60 for 4 pounds. Today, and just for today only, Nuts Berry Farm is giving a 30% discount to all those who will buy nuts today. Enter how much, in dollars, is a pound of nuts today after the discount.
What are the repeating digits in the smallest group of repeating digits in the decimal equivalent of the fraction shown below?
1111/999
Answer:
1.112
Step-by-step explanation:
First, divide 1111 by 999 to find the decimal equivalent. 1111 divided by 999 equals 1.112112112
Second, look at the digits to see the smallest sequence of digits that repeat. The digits that repeat are 1 1 and 2
can I have brainlyest
Find the equation of the line that passes through the points (-2, - 5) and (3. – 8).
Answer:
Equation of line that passes through the points is; y= -13x - 31
Step-by-step explanation:
Given coordinates;
(- 2, - 5) and (3. - 8)
Find:
Equation of the line
Computation:
Equation of line that passes through the points is;
y = mx + c
So,
in (- 2, - 5)
-5 = m(-2) + c
-5 = -2m + c ...................Eq1
in (3, - 8)
- 8 = m(3) + c
-8 = 3m + c .....................Eq2
From eq2 + eq1
m = -13
-5 = -2m + c
-5 = -2(-13) + c
-5 = 26 + c
c = -31
So,
y = mx + c
y = (-13)x + (-31)
Equation of line that passes through the points is; y= -13x - 31
Find the volume of this cylinder.
Round to the nearest tenth.
16cm
4 cm
[?] cm3
The volume of the given cylinder with a diameter of 4 cm and the height of the cylinder is 16cm is 201.062 cm².
What is the volume of a right circular cylinder?The right circular cylinder is the cylinder in which the line joining the centre of the top circle of the cylinder to the centre of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.
Suppose that the radius of the considered right circular cylinder is 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
The volume of the given cylinder is,
Volume of the cylinder = (π/4) × (4cm)² × 16cm
= 201.062 cm²
Hence, the volume of the given cylinder is 201.062 cm².
Learn more about the Volume of the Cylinder:
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FINALSSSSSS
I need help on this ASAP!!!!
Answer:
geometry?
Step-by-step explanation:
SHEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEESH
For a statistics class project, a college student randomly samples 75 men who exercise at a gym regularly and 68 women who exercise at a gym regularly. The college tudent believes that on average men spend more time at the gym each week. The college student records the number of minutes each person exercises in a given week. The college student conducts a hypothesis test at the 5% significance level.
Use the summary statistics to conduct a hypothesis test in StatCrunch. (Open an empty StatCrunch spreadsheet. Choose Stat, T Stats, two sample, with Summary. Adjust the alternative hypothesis as necessary Two Sample T-Test
Sample n Mean Std. Dev.
Men 75 65.7 13.9
Women 68 64.8 9.6
What conclusion can you draw from the output?
i. The data provide sufficient evidence to reject the null hypothesis and to conclude that the mean amount of exercise (minutes) is greater for men than for women at this gym.
ii. The data provide sufficient evidence to conclude that there is no difference in the mean number of minutes exercised per week for men and women.
iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym
Answer:
iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym
Step-by-step explanation:
1) The hypotheses are
H0: u1 ≤ u2 against the claim Ha: u1 > u2
The men spend less or equal time than the women at the gym each week
vs
the men spend greater time than the women at the gym each week
2) The test statistic is
t= (x1`- x2`) / √ s1²/n1+ s2²/n2
t= 65.7- 64.8/√(13.9)²/75 + (9.6)²/68
t= 0.9/√2.57613 +1.35529
t=0.4539
and the degrees of freedom is
3) υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
=[(13.9)²/75 + (9.6)²/68]²/ [(13.9)²/75 ]² /74 + [ (9.6)²/68]²/67
= 139
The degrees of freedom is always rounded in this calculation
4) The Critical region is [1.656, ∞]
5) t-score is outside of the critical region, so there is not enough evidence to reject H₀.
iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym
Choose all the expressions that show this statement is true.
Answer:
F. or C.
Step-by-step explanation:
One winter, a group of students measured snowfall totals at their school. This chart shows how many inches of snow the students measured each month How much total snowfall did they receive at their school that winter?
month. snowfall
December 4.2
January. 8.9
February. 5.4
Answer: 18.5 inches
Step-by-step explanation:
The total snowfall that the students received at their school that winter will be the addition of the snowfall for each month and this will be:
= December snowfall + January snowfall + February snowfall
= 4.2 + 8.9 + 5.4
= 18.5
The total snowfall is 18.9 inches.
Choose the three rectangular prisms that have a volume of 24 cm3.
= 1 cm
A.
D.
E.
Answer: I think is A, D, E
Step-by-step explanation:
which comprison is correct?
a. 3/2 < 1/3
b. 3/8 > 1/6
c. 11/6 < 3/4
d. 3/5 = 5/8
Answer:
The second one
Step-by-step explanation:
USE THE BUTTERFLY TECHINQUE
3/8 O 1/6
18 3/8 O 1/6 8
18 > 8
3/8 > 1/6
Answer:
B is correct
3/8> 1/6 = 3 · 3/8 · 3 > 1 · 4/6 · 4 = 9/24 > 4/24 = 9 > 4 = Yes
the graph of f(x)=x^2 will be translated 5 up and 2 units to the right .which function describe the graph produced by the translation
A TV has a listed price of $864.98 before tax. If the sales tax rate is 9.75%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
Step-by-step explanation:
you would do 864.98 times 109.75% it would be estimated to 949 dollars
Solve for y
4y = 32
Please answer!
Answer:
y = 8
Step-by-step explanation:
4t=32
Divide each side by 4
4y/4 = 32/4
y = 8
Answer: y = 8
Step-by-step explanation:
Firstly, you divide 4 ÷ 4y = 1y or more known as "y" then you do the same thing for the 32 (32 ÷ 4 = 8)
Finally, you write y = 8 and that is your final answer!
I hope this helps! Good luck with future homework and exams! <3
P.S Here's a fun fact! ~~
Hot water will turn into ice faster than cold water!
please help me with this last one
Q = 91°
Step-by-step explanation:
Note how the angles correspond to each of the shapes:
J ---> S
G ---> R
H ---> Q
I ----> P
Since J = 55°, we can see that S is also 55°. With H = 91°, this means that Q is also 91°
What is 5 / 7 ÷ ½ ?
step by step pls
Answer:
1 3/7
Step-by-step explanation:
5 / 7 ÷ ½
Copy dot flip
5/7 * 2/1
10 /7
Changing from an improper fraction
7/7 + 3/7
1 3/7