Answer:
Maggie = 15 hours
Ryan = 30 hours
Step-by-step explanation:
let x - time it takes Ryan to do the job alone.
x-15 - time it takes Maggie to do the job alone
[tex] \frac{10}{x} + \frac{10}{x - 15} = 1 \\ \\ \frac{10(x - 5) + 10x}{x(x - 15)} = 1[/tex]
[tex]10x - 150 + 10x = x {}^{2} - 15x \\ \\ 20x - 150 = x {}^{2} - 15x \\ \\ x {}^{2} - 15x - 20x + 150 = 0 \\ \\ x {}^{2} - 35x + 150 = 0 \\ \\ (x - 30)(x - 5) = 0 \\ \\ x = 30 \: and \: x - 15 = 15[/tex]
x = 5 --> not valid because x-15 will be NEGATIVE
Therfore,
Maggie can do the job in 15 hours.
Ryan can do the job in 30 hours.
Select the correct answer. What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 2]? x f(x) -5 -150 -3 -36 -1 -2 0 0 1 0 2 4 A. -40 B. -8 C. 8 D. 32
Answer:
. . ..................Step-by-step explanation:\
There are 37 people seated in a cafeteria.
Each table holds 2 people. Only one table
is not full. How many full tables are there?
Someone who please help me this is on my test and a really
important answer. Thank u♥︎
Answer:
18
Step-by-step explanation:
37 ÷ 2 = 18 1/2
18 is a whole number
If an item cost 30 and it was on sale at 60 percent off
Answer:
12
Step-by-step explanation:
30*(100-60)/100
30*4/10
3*4
12
sale price =12 (answer) this means the cost of the item to you is 12$. you will pay 12$ for a item with original price of 30$ when discounted 60% off 30%
(v +11)2
remove the parentheses
HELPPP
Lilly uses 9 flowers in each bouquet. She needs flowers for at most 18 bouquets. Determine how many flowers Lilly needs for the bouquets QUICKK HELLPPP
Answer:
hi Abdulaziz how are you how is school do you work hard
Lily needs at least 162 flowers for her 18 bouquets.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Lilly uses 9 flowers in each bouquet and she needs flowers for at most 18 bouquets.
Therefore, The number of flowers she needs can be obtained by multiplying the number of bouquets and the number of flowers in each bouquet which is,
= 9×18.
= 162 flowers.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
Determine if true:
3b+8b=11b
Answer:
True
Step-by-step explanation:
3+8=11
3+8=113b+8b=11b
3+8=113b+8b=11b11b=11b
3+8=113b+8b=11b11b=11bHence, the equation is true.
LHS:-
[tex]\\ \rm\Rrightarrow 3b+8b[/tex]
[tex]\\ \rm\Rrightarrow (3+8)b[/tex]
[tex]\\ \rm\Rrightarrow 11b[/tex]
Yes true
Find the value of the major arc ABC when the angle measures 40 degrees
Answer:
Step-by-step explanation:
if we draw diameter through A and let it meet the circumference at D .
Let O be the center.
∠DAC=90-40=50°
∠DOC=2×50=100°
arc ABD=180°
arc ABC=180+100=280°
which one is the correct answer
Answer:
55
Step-by-step explanation:
Kylie found 25 rolls of indigo ribbon and teal ribbon. Each roll of indigo ribbon was 1 meter long and each roll of teal ribbon was 4 meters long. If Kylie found 64 meters of ribbon in total, how many rolls of each color did she find?
All polygons having congruent
sides and angles are described
as being
A. congruent
B. equilateral
C. regular
D. irregular
Answer:
regular
Step-by-step explanation:
If all their angles and sides are congruent, this means they are all of the same size and are therefore regular polygons. For example, a regular hexagon or decagon.
Gasoline cost $2.84 per gallon Mary’s father puts 9 gallons of gasoline in the tank of his car how much was gasoline cost?
Answer:
$25.56
Step-by-step explanation:
2.84 x 9 is 25.56
If O is an angle in standard position and its terminal side passes through the point
(8,-7), find the exact value of csc 0 in simplest radical form.
Step-by-step explanation:
Let first find the x and y xomponets.
X componets is 8 and the y componets is -7 so
[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
[tex]r = \sqrt{ 64 + 49} [/tex]
[tex]r = \sqrt{113} [/tex]
[tex] \csc(x) = \frac{r}{y} [/tex]
So
[tex] \csc(x) = - \frac{ \sqrt{113} }{ 7} [/tex]
4:20::8:x
What is x equal to?
Find the intersection point(s) of the curves whose equations are:
y
+
4
x
=
6
−
2
x
2
−
4
x
−
y
=
−
14
Answer:
Image result for find the intersection point(s) of the curves whose equations are: y + 4 x = 6 − 2 x 2 − 4 x − y = − 14
To find the point of intersection algebraically, solve each equation for y, set the two expressions for y equal to each other, solve for x, and plug the value of x into either of the original equations to find the corresponding y-value. The values of x and y are the x- and y-values of the point of intersectionStep-by-step explanation:
Which of the following rational functions is graphed below?
Answer:
C [tex]f(x) = \frac{x}{(x+1)(x-2)}[/tex]
Step-by-step explanation:
The two vertical asymptotes happens when you have a pole, ie you are bringing a denominator to zero while the numerator has a finite value. The two lines have equation [tex]x=-1[/tex] and [tex]x=2[/tex]. The only solution that works for that constraints is C
Calculate the product: 2 9 × 63 . A. 7 B. 14 C. 18 D. 45
Answer:
The answer isn't listed in your options, are you sure you didn't make any typos?
Step-by-step explanation:
29*63=1,827
maths please help u thingy
[tex]\begin{array}{cll} term&\stackrel{u_n+u_{n-1}+1}{value}\\ \cline{1-2} u_1&1\\ u_2&3\\ u_3&\stackrel{u_n}{3}+\stackrel{u_{n-1}}{1}+1\\ &5\\ u_4&\stackrel{u_n}{5}+\stackrel{u_{n-1}}{3}+1\\ &9\\ u_5&\stackrel{u_n}{9}+\stackrel{u_{n-1}}{5}+1\\ &15 \end{array}[/tex]
in recursive sequence notation, is another way of saying
"the next term will be the current one plus the one before it, plus one"
what is the quotient of 156 and 12
answer: 13
Ok done. Thank to me :>
The perimeter of a rectangular garden is 262 m.
If the width of the garden is 54 m, what is its length?
Answer:
77 m
Step-by-step explanation:
Length = x
262 = 2*54 + 2*x
2*x = 262 - 108 = 154
x = 154/2 = 77 m
find x and the measure of arc EF.
Answer: 16, 13 degrees
Step-by-step explanation:
Use the graph to find the following.
If there is more than one answer, separate them with commas.
A. All values at which F has a local minimum:
B. All local minimum values of F:
The values of x at wich F(x) has local minimums are x = -2 and x = 4, and the local minimums are:
F(-2) = -3F(4) = -5What is a local maximum/minimum?
A local maximum is a point on the graph of the function, such that in a close vicinity it is the maximum value there. So, on an interval (a, b) a local maximum would be F(c) such that:
c ∈ (a, b)
F(c) ≥ F(x) for ∀ x ∈ [a, b]
A local minimum is kinda the same, but it must meet the condition:
c ∈ (a, b)
F(c) ≤ F(x) for ∀ x ∈ [a, b]
A) We can see two local minimums, we need to identify at which values of x do they happen.
The first local minimum happens at x = -2
The second local minimum happens at x = 4.
B) The local minimums are given by F(-2) and F(4), in this case, the local minimums are:
F(-2) = -3F(4) = -5If you want to learn more about minimums/maximums, you can read:
https://brainly.com/question/2118500
ellie has 4 liter of punch for the party.she needs to measure out servings in milliliters.how many of punch does ellie have?
Answer:
Ellie has 4000 milliliters of punch.
Anna, Betty and Candy shared a box of sweets. Anna took 8 more than 1/3 of the number of sweets in the box. Betty took 18 more than half of the remaining number of sweets . If Candy took the last 6 sweets, how many sweets were there in the box at first?
Answer: 108
Step-by-step explanation: Let the total number of sweets be x
Therefore, Anna - (x/3)+8
After Anna, remaining amount is x - ((x/3)+8) = 2x/3 + 8
Betty took (2x/3 + 8)/2 + 18 = x/3 + 22
Remaining = x - ((x/3)+8) - (x/3 + 22) = x/3 -30
Candy took the rest which is 6 i.e.
x/3 - 30 = 6
x/3 = 36
x = 108
Help me pls!!!
3x-2(6-x)=7x+2(5+x)-6
[tex]3x-2(6-x)=7x+2(5+x)-6\\3x-12+2x=7x+10+2x-6\\5x-12=9x+4\\-4x = 16\\x = -4[/tex]
Hope that helps!
Answer:
x=-4
Step-by-step explanation:
when you are done, you can search this problem and figure out the 13 steps there are.
1. An expression is shown below.
V21x
For which value of x should the expression be
further simplified?
A. 5
B. 6
C. 11
D. 55
Answer:
we have that√(87*x)we know that87 is equal to------> 3*29In order for the square root to go further, the number for "x" has to have a factor of 3 or 29the number 21-------> 3*7so√(87*x)------> √(3*29*3*7)------> √(3²*29*7)----> 3√203the answer isx=21
Step-by-step explanation:
A factor tree is shown for 1,255 what is the simplest form of sqaure root 1,225
Answer:
Simplest form is 35.
35*35=1225
A line passes through the point , (−4,7) and has a slope of 5,4.
Write an equation in point-slope form for this line.
Answer:
y - 7 = 5(x + 4)
Step-by-step explanation:
Point-slope form: y - y₁ = m(x - x₁)
(x₁,y₁) = (-4,7)
I am assuming your slope is 5.
m = slope = 5
Plugging these in, we have
y - 7 = 5(x-(-4))
Simplifying,
y - 7 = 5(x + 4)
A cube has a side length of 8 inches
Answer:
the answers are and 8 · 8·
Step-by-step explanation:
The answers are and 8 · 8 · 8Explanation:The volume of a cube or space a cube occupies is calculated by multiplying the length, height, and width. Additionally, because in a cube all sides are equal in length, the formula for volume is V= . According to this, if the side length is 8 inches the volume can be represented as or V= 8 · 8 · 8 because the symbol · represents multiplication. Also, this can be solved as V = 512 cubic inches. This makes the following options correct: and 8 · 8 · 8.
You have a hat with 5 gray, 3 red, 5 white, and 2 green marbles in it. Find the probability of picking a marble, replacing it, and picking another marble.
P(red, not green)=
P(red, white)=
P(gray, gray)=
Answer:
100% chance. I don't know if you mean a certain color. We need to know that color if you want us to help you. But, if you really just want to pick a marble, replace it, and pick another, you will ALWAYS get a marble.
Suppose that we purchase a new TV for ¢399. If the sales tax in berekum is 9%.Find the total cost of TV
Answer:
434,91
Step-by-step explanation:
Add 9% to the cost:
100% + 9% = 109%
Write a proportion:
100% - ¢399
109% - x
Count the x:
x = ¢399 * 109% / 100% = 434,91