Answer:
40 minutes
Step-by-step explanation:
Let c represent the number of minutes it would take colleen to finish the job when he is working alone. Hence, it can be represented by the equation:
[tex]\frac{1}{c}+\frac{1}{c+20} =\frac{1}{24} \\\\Finding\ the\ L.C.M\ of\ the\ fraction\ to\ get\ 24c(c+20)\ as\ the\ L.C.M.\\Multiply\ the\ whole\ equation\ by\ 24c(c+20):\\\\\frac{1}{c}(24c(c+20))+\frac{1}{c+20}(24c(c+20)) =\frac{1}{24}(24c(c+20)) \\\\24c+480+24c=c^2+20c\\\\48c+480=c^2+20c\\\\c^2+20c-48c-480=0\\\\c^2-28c-480=0[/tex]
Solving the quadratic equation to get c gives:
c = -12 and c = 40
Since the time cannot be negative, hence c = 40 minutes.
It would take colleen 40 minutes to clear the yard of leaves alone
find the measure of the angle indicated
Answer:
105
Step-by-step explanation:
x + 25 + 80 = 180
x + 105 = 180
x = 75
x + y = 180
75 + y = 180
y = 105
find the missing dimension of the cylinder round your answer to the nearest tenth volume = 592ft ³
Answer:
10ft
Step-by-step explanation:
volume= 502 ft³
or, πr²h= 502ft³
or, h= 502/(π×4²)
or, h= 9.98~10
In a bakery at night, there are some cupcakes with some flies hovering over them. How many cupcakes are there if both the following statements are true: 1. If each fly lands on a cupcake, one fly doesn’t get a cupcake. 2. If two flies share each cupcake, there is one cupcake left out.
Item 2 A company that ships crystal bowls claims that bowls arrive undamaged in 95 percent of the shipments. Let the random variable G represent the number of shipments with undamaged bowls in 25 randomly selected shipments. Random variable G follows a binomial distribution with a mean of 23.75 shipments and a standard deviation of approximately 1.09 shipments. Which of the following is the best interpretation of the mean?
What are the integer solutions to the inequality below?−4≤x<0
4 boxes again
Answer:
-4/-3/-2/-1
Step-by-step explanation:
TGGGGGGGFFFGGGGGGGHTTGTGTGGGHTTGTGTGGTTG
Step-by-step explanation:
TTTGTGTGGGGGGTGDSDJSDQWINE33DHJJJK
Simplify the expression: - ( 4x + 10)
Answer:
-4x-10
hope it help
Answer:
-4x-10
Step-by-step explanation:
please help_________
Answer:
[tex]11\sqrt{797}\pi[/tex]
Step-by-step explanation:
[tex]A=\pi r \sqrt{h^2+r^2}[/tex]
the radius is 22/2 = 11 in
h is 26 in
substitute: [tex]\pi \left(11\right)\sqrt{\left(26^2\right)+\left(11^2\right)}[/tex]
= [tex]11\sqrt{797}\pi[/tex]
Answer:
286π in²
Step-by-step explanation:
The lateral area (A) of the cone is calculated as
A = πrs ( r is the radius and s the slant height )
Here r = 22 ÷ 2 = 11 and s = 26 , then
A = π × 11 × 26 = 286π in²
Round your answer to the nearest percent.
Answer:
32%
Step-by-step explanation:
[tex]71 \div 219 = 0.32[/tex]
If m and n are the zeroes of the polynomial 6y 2 -7y – 2, find a polynomial whose zeroes are 1/m and 1/n
Answer:
[tex]y^2-\frac{7}{2}y+3[/tex]
Step-by-step explanation:
Given polynomial is,
6y² - 7y - 2
Fro the zeros of the given polynomial,
6y² - 7y - 2 = 0
6y² - 4y - 3y - 2 = 0
2y(3y - 2) - 1(3y - 2) = 0
(2y - 1)(3y - 2) = 0
(2y - 1) = 0
y = [tex]\frac{1}{2}[/tex]
(3y - 2) = 0
y = [tex]\frac{2}{3}[/tex]
Therefore, zeros of this polynomial are m = [tex]\frac{1}{2}[/tex] and n = [tex]\frac{2}{3}[/tex]
If a polynomial has zeros as [tex]\frac{1}{m}[/tex] and [tex]\frac{1}{n}[/tex] then the zeros will be [tex]\frac{3}{2}[/tex] and 2.
Polynomial will be,
[tex](y-\frac{3}{2})(y-2)[/tex]
= [tex]y(y-2)-\frac{3}{2}(y-2)[/tex]
= [tex]y^2-2y-\frac{3}{2}y+3[/tex]
= [tex]y^2-\frac{7}{2}y+3[/tex]
please help. will mark brainliest
Please help if you know the answer please
Find the equation of this line.
9514 1404 393
Answer:
y = 1/2x + 1
Step-by-step explanation:
The slope of the line is "rise"/"run", where "rise" is the vertical distance between two points separated by a horizontal distance of "run".
Here, two points are marked that are 4 units apart horizontally (run = 4). The right-most point is 2 units above the left-most point (rise = 2). The slope between these points is ...
m = rise/run = 2/4 = 1/2
The line crosses the y-axis at y=1, so the "y-intercept" is b=1.
These values can be put into the "slope-intercept form" equation for a line.
y = mx + b . . . . . . line with slope m and y-intercept b
y = 1/2x + 1 . . . . . matches the required answer form
Marriane can say hello in more than 7 languages. Which number line could represent this situation?
Answer:
A) x > 7
Step-by-step explanation:
Since it's more than, the inequality would be >
Since it's >, that means it's an open circle
So,
x > 7
Prove that Quadrilateral ABCD is a Rhombus
show all the work
Answer:
Say that the shape is a parallelogram with equal length sides;
AB = CD
ABD = CDB as the bisecting lines (you have drawn) prove ABD : CDB are both isosceles triangles.
Therefore ABD = ADB
Draw the shape's diagonals as each others' perpendicular bisectors;
Draw the shape's diagonals bisect both pairs of opposite angles.
If two non congruent angles were given in example 70 degree and 110 degree then say M ∴ = (1/2 )(M∴BAD) = 35 = (1/2 )(M∴BEF) = 35
and do the same for 1/2(M∴ABC) = 55 = 1/2 (M∴CDA) = 55
how much would a $75 video game be with 8.25% sale tax
Answer:
1 Simplify 75\times 875×8 to 600600.
600\div 25
600÷25
2 Simplify 600\div 25600÷25 to 24
24
Step-by-step explanation:
A population of 1500 bacteria is growing at a rate of 10% each day. What is the domain of the population of growing bacteria?
Answer:
The answer is: the domain of the function that show the population-growing per day is
\mleft{
[tex]x \geqslant 0[/tex]
\mright}
Because the domain is the time, in this cases the days.
Joe ran 3 miles yesterday and wants to run at least 15 miles
this week. Write an inequality that can be used to determine
the additional number of days Joe must run this week if each
run is 3 miles. Then solve the inequality.
PLEASE HELP MEEEEEE
Answer: 3(x)≥15 →x≥5
Step-by-step explanation:
Set it up with x as the number of days. Then multiply that by 3, so that you get 3(x). This will show that for an x amount of days, you ran 3 miles. then set it to MORE THAN or EQUAL TO 15. Then divide both sides by 3, and you get the above answer.
plaz anser kwik!!!!!!
Answer:
14
Step-by-step explanation:
First we substitute x for 6 and y for 2.4
4(6+2.4)
______ -> 33.6 / 2.4 -> 14
2.4
can anyone help me to sove it?
What's the missing angle?
Answer:
125 and 55
Step-by-step explanation:
The total angle degree of (2x+3) and (x-6) is 180. So, you add both, and set the equation equal to 180 degrees.
2x+3+x-6=180
3x-3=180
3(x-1)=180
x-1=60
x=61
Substitute that for your angles, and you get your answers.
Find the missing side
Answer:
15.9
Step-by-step explanation:
because the x side it's the same as 15 but it's slanted a little bit out so there is a bit more to 15
Answer:
A
Step-by-step explanation:
Emily bought 63 yards of fabric to make curtains.
How many inches of fabric did Emily buy?
Emily bought _________ inches of fabric.
Answer:
2268 inches of fabric
Step-by-step explanation:
There are 36 inches in 1 yard. Therefore, we multiply 36 by 63 to get an answer of 2268.
Therefore, Emily bought 2268 inches of fabric
Answer:
2268 inches of fabric
Step-by-step explanation:
There are 3 feet in a yard
63*3 = 189 feet
To convert feet to inches, multiple by 12
189*12 = 2268
What is the total surface area of the rectangular pyramid whose net is shown?
Answer: 2203.96
Step-by-step explanation:
Quick Question!! Help me out :)
S is the midpoint of RT. T has coordinates (-10,12), and S has coordinates (3,7). Find the coordinates of R.
Answer:
R: (16, 2)
Step-by-step explanation:
Let (x, y) be the point R
(x - 10)/2 = 3 and (y + 12)/2 = 7
x - 10 = 6 y + 12 = 14
x = 16 y = 2
R: (16, 2)
What is 7x2 - 4 + 6x3 - 4x - X4 in standard form?
A 4 - 4x + 7x2 + 6x3 – X4
B. 46-4 - x) + x2(7 + 6x - x2)
C. X4 + 6x3 + 7x2 - 4x - 4
D. –X4 + 6x3 + 7x2 - 4x - 4
Help ASAP
Answer:
the answer is b
Step-by-step explanation:
hope I'm right
Answer:
D. –x^4 + 6x^3 + 7x^2 – 4x – 4
Step-by-step explanation:
When writing in standard form you have to put the monomials from greatest to least according to their exponent.
[tex]-x^4+6x^3+7x^2-4x-4[/tex]
The first number is [tex]-x^4[/tex] because 4 is the greatest exponent we see, then comes [tex]+6x^3[/tex] which is next because it has the second greatest exponent. And so on and so on.
How many people were surveyed altogether?
25
50
40
15
Please help
Solve for y
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: y = 25
Explanation:
2x+5 = 3x - 33
x = 38
2x+5 + 4y-1 = 180
2(38) + 5 + 4y - 1 = 180
y = 25
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
The student council at Kensington High School is raising money by selling hot apple cider and hot chocolate at this week's games. They sold 42 apple ciders and 13 hot chocolates at the football game, raising a total of $152. They raised $56 at the soccer game by selling 10 apple ciders and 13 hot chocolates. How much is the student council selling each drink for?
The student council is selling apple cider for $ and hot chocolate for $.
Answer:
C
Step-by-step explanation:
We are given
The student council earned $1.25 for every cup of hot chocolate it sold
and $0.75 for every cup of apple cider it sold
total number of cup is 375
We can see that first term is 1.25x
and we have
The student council earned $1.25 for every cup of hot chocolate
so, to find total cost of hot chocolate , we multiplied 1.25 with x
that's why
x must be the number of cups of hot chocolate sold
So the answer must be C
If a car travels 180 km on 12 liters of gas, how many km per liter does the car get? Express in simplest form.
Answer:
5 kilo-meters per liter of gas
Step-by-step explanation:
180 divided by 12 would be 180 / 12 = 5 km per liter
(P.S., pls mark me brainliest, and have a nice day)
John is going to the store. His house is located 3 miles south and 4 miles east from the store, as shown below. What is the shortest distance from his house to the store? Explain
Answer:
5 miles
Step-by-step explanation:
It is a right triangle, with 3 miles down, and 4 miles to the right
the shortest distance would be and southeast line.
Using the Pythagorean theorem, you get:
3^2 + 4^2 = x^2
9 + 16 = x^2
25 = x^2
x = 5