Answer:
36 minutes
Step-by-step explanation:
The equation to determine the time together is
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/90 + 1/ 60 = 1/c
Multiply each side by 180c to clear the fractions
180c( 1/90 + 1/ 60 = 1/c)
2c + 3c = 180
5c = 180
Divide each side by 5
5c/5 = 180/5
c =36
Find the area of an equilateral triangle with apothem length 4 cm.
If necessary, write your answer in simplified radical form.
Step-by-step explanation:
Hey there!
According to the question;
Side (a) = 4cm
To find : area
Now;
[tex]area = \frac{ \sqrt{3} }{4} {(a)}^{2} [/tex]
[tex]or \: area = \frac{ \sqrt{3} }{4} ( {4)}^{2} [/tex]
[tex]area \: = 4 \sqrt{3} [/tex]
Therefore, area of triangle is 6.92 cm² or 4√(3) cm².
Hope it helps!
According to a survey, 57% of all workers read e-mail while they are in a meeting. Suppose that 19% of those who read e-mail while they are in a meeting write down important notes. Assuming that these figures are true for all workers, if a worker is randomly selected, what is the probability the worker reads e-mail while in meeting and writes important notes
Answer:
The probability will be "10.83%".
Step-by-step explanation:
According to the question,
Workers read e-mail,
= 57%
= 0.57
Write down important notes,
= 19%
= 0.19
Now,
The probability of worker who reads e-mail while in meeting and writes important notes will be:
= [tex]P[email \ reading \ during \ meeting]\times P[writes \ important \ notes][/tex]
By putting the values, we get
= [tex]0.57\times 0.19[/tex]
= [tex]0.1083[/tex]
= [tex]10.83[/tex] %
76. In the diagram below, lines land mare
parallel. Both are intersected by
transversal t.
What is the value of x?
The camping group has 24 ppl in all 21 out of 24 would like a s’more it takes 1 min and 30 sec to make each one if two ppl are making them at the same time how long will it take to make one for each person
Answer:
16 minute 30 seconds
Step-by-step explanation:
1 minute 30 seconds = 1.5 minutes
1.5 x 21 = 31.5 minutes
One person will make 10, one person makes 11.
11
11× 1.5 = 16.5
10× 1.5 = 15
16.5 is the answer
The sum of four consecutive integers is -62. What is
the least of the four integers?
9514 1404 393
Answer:
-17
Step-by-step explanation:
Let x represent the smallest of the integers. Then their sum is ...
x +(x+1) +(x+2) +(x+3) = -62
4x +6 = -62 . . . . . . . . . . . . . . . collect terms
4x = -68 . . . . . . . . . .subtract 6
x = -17 . . . . . . . divide by 4
The least of the four is -17.
What is the surface of a area of the square 10m 10m 8m
Answer: The area is (800)
Step-by-step explanation: (10x 10= 100)
(100 x 8= 800)
FINAL ANSWER: 800m
~ i really hope this is correct, have a gr8 day/night my friend!~
D
76
21. In the last three basketball games,
Paula has scored 21, 25, and
15 points p. Which inequality does
not describe the numbers of points
she has scored?
Ap> 21
Bps 25
cp< 30
Dp 2 10
Answer:
A
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
for example : 2 < 3 means 2 is less than 3
3 >2 means 3 is greater than 2
Paula's 3 scores are greater than 15 and less than 26
p> 21 implies her score is greater than 21. this is wrong because there is a score of 15
what will be the units of the square of the following
a - 2346
b - 5677
(a) 6
(b) 9
Step-by-step explanation:The units of a whole number is the rightmost digit in the number. For example, if the number is 15678, the units is 8 since that is the rightmost digit. Another example is 25795. The units is 5.
(a) To find the units of the square of -2346,
i. First find the square of (-2346)
(-2346)² = (-2346) x (-2346) = 5503716
ii. Now find the rightmost digit.
The rightmost digit of 5503716 is 6.
Therefore, the units of the square of (-2346) is 6
(b) To find the units of the square of -5677,
i. First find the square of (-5677)
(-5677)² = (-5677) x (-5677) = 32228329
ii. Now find the rightmost digit.
The rightmost digit of 32228329 is 9.
Therefore, the units of the square of (-5677) is 9
Hi! Could someone check this questions for me and if I have anything wrong tell what I have wrong please? That would be highly appreciated!!
Answer:
Both are correct
I'm only checking the first page
Step-by-step explanation:
Answer:
Step-by-step explanation:
The 3rd page both are wrong the correct answers are 6 degrees C and Ice would form on the top of the lake like it does now.
The 4th page the bottom one is wrong the correct answer is -22.
José drove from New York to Florida. Resting for 1 hour for every 5 hours he drove. If he drove for 35 hours how many hours did he rest.
Answer:
7 hours
Step-by-step explanation:
He drove 35 total miles so he would rest 35/5 hours. 35/5 is equal to 7 hours.
The answer is that he rested for 7 hours.
Find the perimeter of each figure select the figure that have a perimeter of 20 units
Convert 64°F to °C (to the nearest tenth) using one of the following formulas: Fahrenheit to Celsius Celsius to Fahrenheit °C = (°F - 32) × 5/9 °F = 9/5 × °C + 32.
Answer:
20°C
Step-by-step explanation:
64-32 =32
32 ×5 =160
160/9 = 17.8
17.8 rounded to the nearest tenth is 20°C.
-2(y-4)=18 PLEASE HELPPPPPPP
Answer:
y = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-2(y - 4) = 18
Step 2: Solve for y
[Distributive Property] Distribute -2: -2y + 8 = 18[Subtraction Property of Equality] Subtract 8 on both sides: -2y = 10[Division Property of Equality] Divide -2 on both sides: y = -5A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.
The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.
The margin of error of the population proportion is found using half the range.
What is the interval estimate of the true population proportion?
(0.30,0.42)
(0.20,0.52)
(0.24,0.48)
(0.22,0.50)
Answer:
(0.30, 0.42)
Step-by-step explanation:
Given the sample proportion is = 0.36
Number of trials required for determining the margin of the error = 100
Sample size, n = 50
The point estimate = 0.36
The minimum sample proportion form the simulation = 0.28
The maximum sample proportion from the simulation = 0.40
Also the margin of the error of population proportion is found by using the half of the range.
Therefore, the interval estimate for the true population proportion is = (0.30, 0.42)
Which list of numbers are valid for both inequalities?
3
0
2
5
8
7
O -1, 0,1
O 0,1,2
0 -1,0, 1, 2
0 -3, -2,-1, 0, 1, 2, 3, 4
Answer:
-3, - 2, - 1, 0, 1, 2, 3, 4
Step-by-step explanation:
The blue line of the number line can have its inequality range written as :
Since both startibg and endpoints are shaded :
-1 ≤ x ≤ 4
The red line can also be written as :
Only the start is shaded:
-3 ≤ x < 2
Listing out the values :
Blue line :-1 ≤ x ≤ 4
-1, 0, 1, 2, 3, 4
The red line : -3 ≤ x < 2
-3, - 2, - 1, 0, 1, 2
Combining both values :
-3, - 2, - 1, 0, 1, 2, 3, 4
What inequality is shown by the graph? (slope form)
Answer:
y < [tex]\frac{1}{4} x+3[/tex]
Step-by-step explanation:
(-4, 2) (4, 4)
4 - 2 = 2
4 - - 4 = 8
slope = 1/4
y intercept is 3 because the inequality goes up 3 units
24 percent discount from 85 dallors
Answer: Purchase Price: $85. Discount: (85 x 24)/100 = $20.40
Final Price:
85 - 20.40 = $64.60
Answer:
63.60, or 63.6, or 67, how u round it
Step-by-step explanation:
Smartness
j'arrice pas a faire cette equation: A= 2-1/3 ÷ 2+1/3 J'ai besoin d'aide ses notes pour demain merci
Answer:
1 1/6
Step-by-step explanation:
1. 2 - 1/3 = 1 2/3
2. 1 2/3 ÷ 2 = 5/6
3. 5/6 + 1/3 = 1 1/6
Help plz so close to being done
Answer:
20 is the answer I got
Please no link ,step by step
Superpop potato chips factory employs 267 people. If each
worker receives Rs 2384 as wages every month, what is the total
woge bill () for one month, (m) for the whole year?
Answer:
636,528 Rs
7,638,336 Rs
Step-by-step explanation:
Total wage bill per month = wage of each worker x number of employees
267 x Rs 2384 = 636,528 Rs
Wage bill for the year = monthly wage bill x 12
636,528 Rs x 12 = 7,638,336 Rs
The product of 4 and the depth of the pool
Answer:
product means multiplication (×) so what ever is the depth of the pool is multiplied by 4
Step-by-step explanation:
what is the depth of the pool?
Solve:3x - 4 = 2x - 10
Answer:
x=-6
Step-by-step explanation:
1. Move the variable to the left-hand side and change its sign
3x-4-2x=-10
2. Collect like terms
x=-10+4
-10+4= -6
5x + 7y = 42 I need to find the x−and y−intercepts.
Answer:
Y intercept = (0;6)
X intercept = (42/5;0)
Simplify the following expression.
29.718 - 29.63
Answer:
0.88 is the correct answer
What is 25% of 24?
What is 15% of 60?
9 is what percent of 72
Answer:
6
9
6.48
Step-by-step explanation:
this is the easiest way to solve for percentage:
[tex]\frac{part}{whole} =\frac{part}{whole}[/tex] Where all the percents (except 100) would go in part
and the whole number would go in whole
[tex]\frac{25}{100} =\frac{?}{24}[/tex] Then multiply 24 × 25 ÷ 100 = 6
[tex]\frac{15}{100} =\frac{?}{60}[/tex] Multiply 60 by 25 then divided by 100 = 9
Then for the last one 9 is what percent of 72
all we have to do is multiply 9 and then convert 72 into a decimal (0.72)
Then 9 × 0.72 = 6.48
Answer:
6.48
Step-by-step explanation:
you have to had the left then divide the right
HELP ME PLEASE FAST!!!n
Answer:
2X²+6X-8
=2X²+8X-2X-8
=2X(X+4)-2(X+4)
=(X+4)(2X-2)
width=(x+4)
answer is option A
factorise y^3- 7y+6
Answer:
(y−1)(y−2)(y+3)
Step-by-step explanation:
Factor y3−7y+6
y3−7y+6
=(y−1)(y−2)(y+3)
Answer:
(y - 2) (y-1) (y+3)
Step-by-step explanation:
y³-7y+6
= y³ +2y² - 2y² - 3y - 4y +6
= ( y³ +2y² - 3y) - (2y² + 4y -6)
= y( y² +2y -3) - 2( y² + 2y -3)
= (y² +2y -3)(y-2)
= ( y² +3y -y -3)(y-2)
= [ y( y+3) -(y+3)] ( y-2)
= (y-1)(y+3)(y-2)
What number must you add to complete the square? x^2+26x=11
WHICH OF THE FOLOWING EXPRESSIONS IS EQUAL TO -3x^2-12
HELP ME PLEASEEEEEEEEEEEEEEEEE
Answer:
x
Step-by-step explanation:
f([tex]f^{-1}[/tex](x))
Lets work the brackets first!
[tex]f^{-1}[/tex](x)
To solve we are going to find the inverse of the function.
[tex]f^{-1}[/tex](x)
f ⇔ y
∴ y = x
Interchange x and y
x = y
Solve for y
y = x
∴ [tex]f^{-1}[/tex](x) = x
Now let's solve the rest of the equation.
f(x) = x
∴ f([tex]f^{-1}[/tex](x)) = x