Answer:
Step-by-step explanation:
If Kyle can get 5/8 of a shed built in x amount of time, he can get 62.5% done; if Jack can get 1/5 of the shed built in the same time, he can 20% of it done. As a ratio:
[tex]\frac{Kyle}{Jack}:\frac{62.5}{20}[/tex] Kyle gets the whole thing done, 100% of the way, leaving Jack lagging behind at a somewhat lower percentage of the work being done.
[tex]\frac{Kyle}{Jack}:\frac{62.5}{20}=\frac{100}{x}[/tex] and cross multiply to solve for the percentage of the shed built by Jack by the time Kyle gets it completed:
62.5x = 2000 so
x = 32%
When Kyle will complete the work the amount of the work done by Jack will be 32%.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
If Kyle can get 5/8 of a shed built in x amount of time, he can get 62.5% done; if Jack can get 1/5 of the shed built in the same time, he can 20% of it done. As a ratio:
Jack falls behind Kyle, completing only a small portion of the work, while Kyle completes the entire task and cross multiplies to solve for the percentage of the shed built by Jack by the time Kyle gets it completed:
Kyle / Jack ÷ 62.5 / 20 = 100 / x
62.5x = 2000 so
x = 32%
Therefore, when Kyle will complete the work the amount of the work done by Jack will be 32%.
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A wallpaper store determines that the daily revenue (in pesos) earned by the store on the sale of y square meters of wallpaper is given in the equation R = y2 - 65y. How many square meters of wallpaper must be sold if the revenue from the wallpaper is to be 1200 per day?
Answer:
1,362, 00
Step-by-step explanation:
R= (1200)2 - 65 (1200)
=1,362,000
80 square meters of wallpaper must be sold.
What is Algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Given:
R = y² - 65y.
Now, R= 1200
y² - 65y = 1200
y² - 65y -1200 = 0
y² - 80y + 15y -1200 = 0
(y- 80) (y + 15)= 0
y= 80, -15
Hence, 80 square meters of wallpaper must be sold if the revenue from the wallpaper is to be 1200 per day.
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The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches?
O 6 inches
O 8 inches
O 12 inches
020 inches
Answer:
area of the triangle= 1/2 × base × height
24 = 1/2 × 4 × height
height. = 24/2
= 12 inches
answer is third option
Instructions: Find the missing segment in the image below.
Triangle with a missing segment.
Answer:
?=25
Step-by-step explanation:
15/x=21/x+10
Cross Multiply
15X+150=21X
SUBTRACT 15 X ON BOTH SIDES.
150=6x
DIVIDE 6 IN BOTH SIDES.
x=25
The mass of the sun is 2.13525×10^30 kilograms. The mass of Mercury is 3.285×10^23 kilograms.
How many times greater is the mass of the sun than the mass of Mercury?
Type your answer in scientific notation form.
Answer:
The mass of Sun is [tex]65\times 10^5[/tex] times greater than mass of Mercury.
Step-by-step explanation:
We are given that
Mass of the sun=[tex]M=2.13525\times 10^{30}[/tex] kg
Mass of Mercury, [tex]m=3.285\times 10^{23}[/tex]kg
We have to find how many times greater is the mass of the sun than the mass of Mercury.
Mass of sun/Mass of mercury=[tex]\frac{2.13525\times 10^{30}}{3.285\times 10^{23}}[/tex]
Mass of sun/Mass of mercury[tex]=0.65\times 10^{30-23}[/tex]
Using the property
[tex]a^x/a^y=a^{x-y}[/tex]
Mass of sun/Mass of mercury[tex]=0.65\times 10^{7}[/tex]
Mass of sun/Mass of mercury[tex]=65\times 10^5[/tex]
Mass of Sun=[tex]65\times 10^5[/tex] times Mass of Mercury
Hence, the mass of Sun is [tex]65\times 10^5[/tex] times greater than mass of Mercury.
help!! need to find the area
Answer:
10*5 +2(2*2)
50+8
58
Step-by-step explanation:
Answer:
58 units
Step-by-step explanation:
what is the measure of m?
Answer:
[tex]n^{2} +18^{2} =x^{2}[/tex]
[tex]6^{2} +x^{2} =m^{2}[/tex]
[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]
[tex]m^{2} =n^{2} +360[/tex]
[tex]n^{2} +36=m^{2}[/tex]
[tex]m=15[/tex]
OAmalOHopeO
Flying against the wind, an airplane travels 6060 kilometers in 6 hours, Flying with the wind, the same plane travels 12,150 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?
Let s be the plane's speed in still air and w the wind speed. Then
s - w = (6060 km)/(6 h) = 1010 km/h
s + w = (12,150 km)/(9 h) = 1350 km/h
Adding these equations together eliminates w and lets you solve for s :
(s - w) + (s + w) = 1010 km/h + 1350 km/h
2s = 2360 km/h
s = 1180 km/h
In order for the parallelogram to be a rhombus, x=? (7x+13)º
Answer:
x = 11
Step-by-step explanation:
The diagonals of a rhombus are perpendicular meaning that they create 90 degree angles
If they create 90 degree angles then 7x + 13 = 90
( Note that we've just created an equation that we can use to solve for x )
We now solve for x algebraically using the equation we created
7x + 13 = 90
Step 1 Subtract 13 from both sides
7x = 77
Divide both sides by 7
x = 11
Help Now Pleaseee!!!!
Find the volume of the sphere
Answer:
7235 using 3.14 for pi
7238 using the pi button
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 pi (12)^3
V = 2304pi
Letting pi = 3.14
V = 7234.56 and rounding to a whole number
V = 7235
Using the pi button
V =7238.22947 and rounding to a whole number
V = 7238
Answer: 7238
Step-by-step explanation:
The formula used is 4/3πr³
Now let's substitute the radius: 12
4/3πr³
=4/3×π×12³
=4/3×π×1728
=7238.22947
but since we are rounding it to the nearest whole number the answer would be 7238
linesl,mand n are parallel to each other and p is a transversal
========================================================
Explanation:
Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.
If x+y = 180, then y = 180-x.
Plug this into the equation your teacher gave you
x/y = 3/7
x/(180-x) = 3/7
7x = 3(180-x) ... cross multiply
7x = 540 - 3x
7x+3x = 540
10x = 540
x = 540/10
x = 54
Use this to find y
y = 180-x
y = 180-54
y = 126
Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.
Divide both parts of the first fraction by 18 to fully reduce.
Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees
Find the volume of this square based pyramid. 3 cm 2 cm 2 cm. V = ? cm3.
I put V = 1/3 x 2 x 3. V = 2.
What did I do wrong?
The volume of square based pyramid is 4cm³.
What is Square Pyramid ?A square pyramid is a pyramid, in geometry, that has a square base and four lateral faces.
How to find the volume of Square Pyramid ?To find the volume of a pyramid, we multiply the area of its base with the height of the pyramid, and divide by 3.
V=1/ 3×B²×h
where B is the area of the base of the pyramid, and h is its height.
Now in the question,
b = 2cm; h = 3cm
Volume = (1/3 x 2x2x3)cm³
= (1x2x2)cm³
= 4cm³
Therefore, the volume of square based pyramid is 4cm³
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What’s the rate of change in this question y=0.860x+3.302
Answer:
The equation is in a linear form, which means its in y=mx + b
M is the slope.
Slope is a fancy word for rate of change.
Therefore, the slope/rate of change is...
.860
Out of 100 students in a school, 42 take English, 35 take Chinese and 30 take French. 20 take none of the subjects, 9 take French and English, 10 take French and Chinese, 11 take English and Chinese. Find the number of students who take 3 subjects?
Answer:
1 student
Step-by-step explanation:
From the Vann diagram attached below,
Let x represent the number of students who took 3 subjects.
Therefore,
100 = (42-9-11-x)+11+x+9+10+(35-10-11-x)+(30-9-10-x)+20
100 = 22-x+11+x+9+10+14-x+11-x+20
100 = 97-2x
2x = 100-97
2x = 3
x = 3/2.
x = 1.5
x = 1 student
The amount of money A accrued at the end of
n years when a certain amount Pis invested at
a compound annual rate r is given by
A= P(1+r)". If a person invests $150 at 5%
interest compounded annually, find the
approximate amount obtained at the end of 5
years.
[A] $191
[B] $4500
[C] $1139
[D] $900
18. Mario rented a raft from River Rafter's Inc. He paid $100 to rent and
$25 for every hour. Carlos rented a raft from Oscar's Outdoor Shop. He
paid $50 to rent and $35 per hour. For what number of hours will both
rafting companies charge the same amount?
0
4
5
010
Answer:
5 hours
Step-by-step explanation:
The charge will be the same when what they pay is equal
100 + 25*number of hours = 50 +35 * number of hours
let number of hours =h
100 + 25h = 50 + 35h, subtract 25 h, and subtract 50 from both sides
100-50 = 35h -25h, combine like terms
50 = 10h , divide by 10 both sides
5 = h , in 5 hours the companies will charge the same amount
Mrs. Fox made $176.50 in three hours. How much did she make in one hour?
Answer:
58.83
Step-by-step explanation:
176.50 ÷ 3 = 58.83333
round down
Answer:
In explanation.
Step-by-step explanation:
If we know that Mrs.Fox makes a consitant rate .
meaning if you divide 176.50 by 3
you get 58.833333 but since money can only go up to two decimal places,
we round and get 58.83 dollars per hour.
Anybody knows the answers to the monomial functions ?
Step-by-step explanation:
A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).
Answer two questions about Equations A and B:
A. 3(x+2) = 18
B.
r + 2 = 6
1) How can we get Equation B from Equation A?
Step-by-step explanation:
3x+6=18
3x=18-6
3x=12
x=4
13. What is the missing mumber in the input-output table below?
Input
3
5
?
17
Output
16
22
31
58
A. 8
C. 11
B. 9
D. 14
Answer:
Hello,
Answer A
Step-by-step explanation:
Since there are 4 inputs and 3 are known
we shell try a function like y=ax²+bx+c
So we have to resolve the system
[tex]\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\[/tex]
We have to try:
0*x²+3*x+7=31
3x=24
x=8
Which pair of angles are corresponding angles?
Answer:
angles 3&7
Step-by-step explanation:
what is 6^20 / 6^15? please include explanation :)
Answer:
6^5
Step-by-step explanation:
We know that a^b /a^c = a^(b-c)
6^20 / 6^15
6^(20-15)
6^5
2(x+3) + 9 - 5 = 32
Solve for x.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 11[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\2(x+3)+9-5=32\\----------------\\\rightarrow 2x + 6 + 9 - 5 = 32\\\\\rightarrow 2x + 10 = 32\\\\\rightarrow 2x + 10 - 10 = 32 - 10\\\\\rightarrow 2x = 22\\\\\rightarrow \frac{2x=22}{2}\\\\\rightarrow \boxed{x=11}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Your local clothing
store is having a sale
of 50% off on all
purchases. You
bought 2 shirts for $10
each and 1 pair of
pants for $15. What
was your final total
after the discount?
10x2=20
20+15=35
35÷2=17.5
What is the image point of (-8,9) after the transformation ry=-x
O
R90°?
Answer:
I believe it is (-8,-9)
Step-by-step explanation:
I plugged the line into desmos then did the rotation
C and D are complementary angles. Which of the following measures cannot be true
Om C= 30° and m D = 60°
Om C= 60° and m2D = 30°
Om C= 65° and m D = 35°
Om C = 55° and m D = 35°
Answer:
C= 65° and m D = 35°
this cannot be true
Step-by-step explanation:
a complementary angle adds up to 90°
65°+35°=100
90° =/= 100°
if a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
A. ab+c=d
B. ab+ac=d
C. a(b+c)>10
D. ab
Answer:
B. ab+ac=d
Step-by-step explanation:
Answer:
ab + ac = d
Step-by-step explanation:
a(b+c)=d
Distribute the a
ab + ac = d
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.
Answer:
Step-by-step explanation:
I don't see Wen's work, but I'll show you mine!
We can create a set of coordinates for each of these sets of data, where x is the time in hours, and y is the number of degrees in Fahrenheit.
At time 0, the temp is 0: (0, 0)
5.75 hours late, the temp is -15.5: (5.75, -15.5)
We can find the change in temp per hour by using the slope formula, since slope is, after all, the rate at which something is changing.
[tex]m=\frac{-15.5-0}{5.75-0}=\frac{-15.5}{5.75}=-2.7[/tex] That is rounded to the tenths place from -2.695652174 so you can round it however you need. What the interpretation of this number is is that temp is falling at a rate of 2.7 degrees F per hour.
Answer:
- 2 16/23 degrees / hr
Step-by-step explanation:
15 1/2 = 31/2
5 3/4 = 23/4
31/2 ÷ 23/4 =
31/2 × 4/23 = 124/46 = 62/23 = 2 16/23
.
For the following, represent the sample space in set notation and state how many outcomes are
possible.
1. A bag contains 3 blue marbles, 2 red marbles, and 4 green marbles. You draw one marble.
Answer:
Step-by-step explanation:
the sample space is the set that contain all possible outcomes
B-blue, R-red, G-green
sample space is {B,B,B,R,R,G,G,G,G}
so there are 9 possible outcomes
Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that
represents this situation.
a.) d-22 28; d 50
b.) d - 22 > 28; d > 50
c.) d + 22 s 28; d s 72
d.) d + 22 28; d 272
Hi there!
»»————- ★ ————-««
I believe your answer is:
d – 22 ≥ 28
d ≥ 50
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]
⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]
⸻⸻⸻⸻
[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Can someone help please and thank you
Answer:
b
Step-by-step explanation:
