Answer:
rock climb costs $7
Step-by-step explanation:
2 laser tags +3 rock climb = $31 ( 1 )
4 laser tags + 1 rock climb = $27 (2)
multipy (1) by -2 and add the equations
-4 laser tags -6 rock climb = $ -62
4 laser tags + 1 rock climb = $27
-6 rock climb +1 rock climb = -62+27
-5 rock climb = -35 divide both sides by -5
1 rock climb = $7
The intensity,I, of light received at a source varies inversely as the square of the distance, d, from the source. If the light intensity is 33 foot-candles at 20 feet, find the light intensity at 5fee
Answer:
The light intensity is 528 foot-candles at 5 feet
Step-by-step explanation:
If x and y are in inverse variation, then x y = k, where k is the constant of variation
In the given question
∵ The intensity I, of light received at a source, varies inversely as the
square of the distance d, from the source
→ That means I × d² = k, where k is the constant of variation
∴ I × d² = k
∵ I = 33 foot-candle at d = 20 feet
→ Substitute them in the rule above to find k
∴ 33 × (20)² = k
∴ 33 × 400 = k
∴ 13200 = k
→ Substitute the value of k in the equation
∴ I × d² = 13200 ⇒ equation of variation
∵ d = 5
→ Substitute it in the equation to find I
∵ I × (5)² = 13200
∴ I × 25 = 13200
→ Divide both sides by 15
∴ I = 528
∴ The light intensity is 528 at 5 feet
I was at a farm this farm raises cows and chickens I manage to count the number of heads and legs on the form I counted a total of 26 heads and a total of 62 legs can you figure out the number of cows and chickens the farmer has
Answer:
5 cows, 21 chicken
Step-by-step explanation:
5 cows; 20legs
21chickens; 42legs
26heads; 62legs
Find all the Missing Angles
Answer:
need more information
5(88) using distributive property and mental math
The graphs below have the same shape what is the equation of the blue graph
Answer: g(x) = (x-2)^2 + 1. Choice C
===========================================================
Explanation:
The graphs have the same shape, which means they have the same 'a' value.
In this case, a = 1.
The vertex of the red graph is (0,0).
The vertex of the blue parabola is (2, 1)
The red curve has been shifted 2 units to the right and 1 unit up.
Since the vertex of the blue graph is (2,1), this means h = 2 and k = 1.
Plug a = 1, h = 2 and k = 1 to get...
y = a(x-h)^2 + k
y = 1(x-2)^2 + 1
g(x) = (x-2)^2 + 1
Answer:
C.
Step-by-step explanation:
Since the blue graph shifted up by 1 unit, it would be +1 at the end of the quadratic function. Then, because the graph also shifted to the right 2 units, the blue graph subtracts from f(x)=x^2 (it does the opposite).
Solve for f(-1) =
f(x)= (x+8)²+21
Step-by-step explanation:
f(-1) = [(-1) + 8]² + 21 = 7² + 21 = 70.
Answer:
(x+8) 2+21
..................
Maya and Edward cut lawns in the summer to earn spending money. Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Working together they can both cut a lawn in 18 minutes. How long would it take Edward to cut a lawn alone?
Answer:
The answer would be 45 minutes.
Step-by-step explanation:
Just skipped to the answer on Edementum.
A fraction is a way to describe a part of a whole. The time it takes Edward to cut the lawn alone is 45 minutes.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let the time taken by Maya to lawn the garden be x.
The rate at which Maya lawn = 1/x
Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Therefore,
The rate at which Edward lawn = 1/(x+15)
Working together they can both cut a lawn in 18 minutes.
The rate at which they both work = 1/18
Now, the rate of working can be compared as,
1/x + 1/(x+15) = 1/18
(x+ x + 5)/x(x+15) = 1/18
(2x + 15)18 = x(x+15)
36x + 270=x² + 15x
x²-21x-270=0
x = 30, -9
Since time can not be negative. Therefore, the time it takes Edward to cut the lawn alone is,
x + 15
= 30 + 15
= 45 minutes
Hence, the time it takes Edward to cut the lawn alone is 45 minutes.
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Error Analysis: Henry incorrectly said the rate 1/2 over 1/4 can be written as the unit rate 1/8 pound per quart.
What is the correct unit rate? What was Henry's likely error?
Answer:
1/2 = 2/4 = 4/8
Step-by-step explanation:
his error was probably that he only change the denominator since there all even
PLZ HELP ME ASAP!!!!
Answer:
I cant see the picture
Step-by-step explanation:
I cant see the picture
5,7,9 i need help asap, step by step plss if possible :)
Answer:
5 yes
7 yes
9 no
Step-by-step explanation:
(4*7)^x is 28 which is greater than 0 and not equal to one.
Same with 7
9 has a negitive 5 being multiplied to 9 which leads it to being -45^x which is less than zero
Answer:
i need some points sorry not sorry
• When volleyballs are purchased, they are not fully inflated. A partially inflated
volleyball can be modeled by a sphere whose volume is approximately 180 in). After
being fully inflated, its volume is approximately 294 in. To the nearest tenth of an
inch, how much does the radius increase when the volleyball is fully inflated?
Answer:
The radius increase when the volleyball is fully inflated is 0.5
Step-by-step explanation:
Volume of Partially inflated volleyball = 180 in³
Volume of Full inflated volleyball = 294 in³
We need to find how much does the radius increase when the volleyball is fully inflated?
First we will find the radius of both Partially inflated and Full inflated volleyball. Then we will find increase in radius.
The formula for Volume of sphere is: [tex]Volume=\frac{4}{3}\pi r^3[/tex]
Finding Radius of Partially inflated volleyball
Volume = 180
Putting values and finding radius of Partially inflated volleyball
[tex]Volume=\frac{4}{3}\pi r^3\\180=\frac{4}{3}*3.14*r^3\\4.186r^3=180\\r^3=\frac{180}{4.186}\\r^3=43.0\\Taking\:cube\:root\:on\:both\:sides\\\sqrt[3]{r^3}=\sqrt[3]{47}\\r= 3.6[/tex]
So, radius of Partially inflated volleyball is r = 3.6
Finding Radius of Fully inflated volleyball
Volume = 294
Putting values and finding radius of Fully inflated volleyball
[tex]Volume=\frac{4}{3}\pi r^3\\294=\frac{4}{3}*3.14*r^3\\4.186\:r^3=294\\r^3=\frac{294}{4.186}\\r^3=70.23\\Taking\:cube\:root\:on\:both\:sides\\\sqrt[3]{r^3}=\sqrt[3]{70.23}\\r= 4.1[/tex]
So, radius of Partially inflated volleyball is r = 4.1
Now, finding increase in radius by subtracting radius of fully inflated volleyball with partially inflated volleyball
Increase in radius of Fully inflated volleyball = 4.1 - 3.6
Increase in radius of Fully inflated volleyball = 0.5
So, the radius increase when the volleyball is fully inflated is 0.5
I need help with this question, here's the image
Answer:
The answer Is C
Hari's weekly allowance varies depending on the number of chores he does. He received $20 in allowance the week he did 14 chores, and $14 in allowance the week he did 2 chores. Write an equation for his allowance in slope-intercept form. The equation for Hari's allowance in slope-intercept form is
explain better or brainliest cant do that
3.3 x 10*9 +2.6 x 10*9 +7.7 × 10*8
Answer:
23.4x10+913
Step-by-step explanation:
Answer:
1147 okayyyyyyyyyyyyyyyyyyhhhhyhhhhhhyyyyyyyy
Duane recorded the temperature outside his window one morning. On the second day, the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees. On the fourth day, the temperature went down 6 degrees, and it was 1°F. What was the temperature on the first day?
Answer:
The temperature on the first day was 10 °F.
Step-by-step explanation:
Let's find the temperature in every single step starting from the fourth day:
[tex]T_{4} = T_{3} - 6 F = 1 F[/tex]
[tex] T_{3} = 1 F + 6 F = 7 F [/tex]
Then, the temperature of the third day was 7 °F
On the third day:
[tex] T_{3} = T_{2} - 10 F = 7 F [/tex]
[tex] T_{2} = 7 F + 10 F = 17 F [/tex]
Hence, the temperature on the second day was 17 °F.
Now, on the second day:
[tex]T_{2} = T_{1} + 7 F = 17 F[/tex]
[tex] T_{1} = 17 F - 7 F = 10 F [/tex]
Therefore, the temperature on the first day was 10 °F.
I hope it helps you!
Norman is a sunflower farmer. He uses a plot of
land that is 3 km by 4.3 km. How much land
does he use for his sunflowers
Answer: 12.9 square km
Step-by-step explanation: 4.3 x 3 =12.9
Wahts the value of N
Answer:
n=7
Step-by-step explanation:
33-19÷2= 7
sorry if my answer is wrong
plzz help mee!!! chess club every 4 days. He goes to soccer practice every 3 days. If he has both activities today, in how many days will he first have both activities again?
Answer:
12 days
Step-by-step explanation:
4x3=12
using y=mx+b find the slope for
x + 2y = -8
Answer:
y=1/2x-4
Step-by-step explanation:
Which set of coordinates describes a function?
A {(2, -4), (-2, - 7), (0, 2), (-3, 8)}
B {(8,9), (1, 5), (1, 6), (-1, 11)}
C {(6, -4), (-3, -3), (-8, -8), (6, -1)}
D{(8,3), (-8, -4), (2, 7), (2, 2)}
A 12-ounce bag of chips costs $2.88. What is the unit rate per ounce of chips A $0.17 O B. $0.24 OC. $0.25 OD $0.42
Answer:
B (I think)
Step-by-step explanation:
$2.88 divided by 12 is 0.24
You toss a coin, roll a dice, and choose a card out of 52 decks of cards. What is the likely hood that you will toss tails, roll an odd number, and choose ace.
Answer:
~0.02% chance
Step-by-step explanation:
coin: 1/2 chance
dice: 3/6 chance
cards: 4/52 chance
1/2x3/6x4/52 = 0.02% percent chance
what is the percent of 7/10
Answer:
7/10= 0.7 = 0.70 = 70%
Step-by-step explanation:
If you multiply them together you get 70, this only works if it is /10.
solve the equation
48= y + 5y
48=y+5y
pretend that there is a 1 in front for the y
48=1y+5y
add the like terms first
1y+5y=6y
48=6y
divide both sides by 6 to get y by itself
48/6=6y/6
8=y
answer:
y=8
Answer:
y = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
48 = y + 5y
Step 2: Solve for y
Combine like terms: 48 = 6yDivide 6 on both sides: 8 = yRewrite: y = 8Step 3: Check
Plug in y into the original equation to verify it is a solution.
Substitute in y: 48 = 8 + 5(8)Multiply: 48 = 8 + 40Add: 48 = 48Here we see that 48 does indeed equal 48.
∴ y = 8 is a solution of the equation.
Find the measure of the numbered angle.
m∠3 =
Answer:
<3 = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180
<1 + 40 + 90 = 180
<1 + 130 = 180
<1 = 50
<1 and <3 are vertical angles and vertical angles are equal
juan has $1.30 in dimes and nickels he has a total of 15 coins how many dimes does juan have
Answer:
11 dimes and 4 nickles
Step-by-step explanation:
Answer:
11 dimes equals 1.10 and 4 nickels equals 20 cents
Step-by-step explanation:
Dan can ride his skateboard 2 miles in 10 minutes. How many miles can he ride his skateboard in 30 minutes?
Answer:
6
Step-by-step explanation:
using long Division perform (a²-22a+17)÷(a-13)
Answer:
wherw are yiu coms on email kingrizvi218
The data below represents the number of workouts each member of Big Muscles Gym attended last month. 4,5,7,7,7,8,10,11,11,13,13,144,5,7,7,7,8,10,11,11,13,13,144, comma, 5, comma, 7, comma, 7, comma, 7, comma, 8, comma, 10, comma, 11, comma, 11, comma, 13, comma, 13, comma, 14 Which box plot correctly summarizes the data?
Given:
The data values are 4, 5, 7, 7, 7, 8, 10, 11, 11, 13, 13, 14.
To find:
The box plot for the given data set.
Solution:
The data values are
4, 5, 7, 7, 7, 8, 10, 11, 11, 13, 13, 14
Divide these values in two equal parts.
(4, 5, 7, 7, 7, 8), (10, 11, 11, 13, 13, 14)
Divide each group again in two equal parts.
(4, 5, 7), (7, 7, 8), (10, 11, 11), (13, 13, 14)
Here,
Minimum value = 4
[tex]Q_1=\dfrac{7+7}{2}=\dfrac{14}{2}=7[/tex]
[tex]Median=\dfrac{8+10}{2}=\dfrac{18}{2}=9[/tex]
[tex]Q_3=\dfrac{11+13}{2}=\dfrac{24}{2}=12[/tex]
Maximum value = 14
It means, the starting point is 4 and end point is 14 of the box plot.
Box is lies from 7 to 12 and one line inside the box at 9.
Therefore, the box plot of the given data set is shown below.
The amount of concrete, c, needed to make a walkway around a circular swimming pool varies directly as the square of the diameter, d, of the
pool. Which statement is true?
OA If the diameter of the pool is doubled, the amount of concrete needed is multiplied by 2.
•B. If the diameter of the pool is doubled, the amount of concrete needed is multiplied by 4.
OC. If the diameter of the pool is halved, the amount of concrete needed is multiplied by 2.
OD. If the diameter of the pool is halved, the amount of concrete needed is multiplied by 4.
Answer:
Step-by-step explanation:
For all Plato users
The amount of concrete needed after doubling the diameter of the circle will be multiplied by 4 by the initial amount. Hence, the correct option is (B).
What are direct proportions?Direct proportions are the proportions where a variable changes with another variable by direct mean so the coefficient of constant will be direct.
For example y ∝ x² here y varies with respect to x square.
y = Kx² where k will be the coefficient of constant.
Given that amount is Amount ∝ d²
Amount = k d²
By doubling the diameter
Amount = k (2d)²
Amount = 4 kd²
Amount = 4 × initial amount hence, the amount will be multiplied by 4.
For more information about proportions relations?
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