So for starts we can go 0.16 x 63 miles = 10.04 so the total for the second plan would be $58 with driving 63 miles. and for the first plan would be 0.12 divided by 3 would be 0.04 so we add them together and we get $58 with driving a 3rd of a mile.
Overall:
1st plan: $58 with driving a 3rd of a mile.
2nd plan: $58 with driving 63 miles.
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
5(88) using distributive property and mental math
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
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
A 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot long cable is secured from the top of the pole to a stake in the ground opposite of the building. If the stake is 30 feet from the pole, what angle does the cable make with the pole?
Round the answer to the nearest tenth.
9514 1404 393
Answer:
38.5°
Step-by-step explanation:
A triangle solver can give an answer easily. The angle is 38.5°.
__
The law of cosines can be written to solve for an unknown angle C opposite side 'c' and flanked by sides 'a' and 'b'.
C = arccos((a² +b² -c²)/(2ab))
Here, we have a=35, b=48, c=30, so the angle is ...
C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360) ≈ 38.515°
The angle the cable makes with the pole is about 38.5°.
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!
using y=mx+b find the slope for
x + 2y = -8
Answer:
y=1/2x-4
Step-by-step explanation:
solve the equation or inequality.
5t - 3 (7t + 1) < 93
Step-by-step explanation:
5t-3(7t+1) < 93
Remove the parentheses
5t-21t-3 < 93
-16t < 93+3
-16t < 96
Divide both sides by 16
-t<96/16
-t<6
t > -6
Answer: The inequality t < 6 is the correct answer.
Step-by-step explanation:
5t - 3 (7t + 1) < 93 <--- This is the original equation.
5t + (7t + 1) - 3 < 93 <---- Use commutative property.
16t - 3 < 93 <--- Simplify
16t - 3 + 3 < 93 + 3 <---- Add 3 to both sides,
16t < 96 <--- Simplify and do addition.
[tex]\frac{16t}{16}[/tex] < [tex]\frac{96}{16}[/tex] <--- Divide both sides by 16.
t < 6 <--- is the answer to the inequality.
Hope this helps! :D
Wahts the value of N
Answer:
n=7
Step-by-step explanation:
33-19÷2= 7
sorry if my answer is wrong
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
..................
PLZ HELP ME ASAP!!!!
Answer:
I cant see the picture
Step-by-step explanation:
I cant see the picture
using long Division perform (a²-22a+17)÷(a-13)
Answer:
wherw are yiu coms on email kingrizvi218
(x+1)-6(x+1)+8 how to factorise it?
Answer:
Step-by-step explanation:
If you have written the question correctly, then you don't need to factor it. You only need to remove the brackets.
x + 1 + 6x + 6 + 8
7x + 15 is your final answer.
However, I think the question is
(x + 1)^2 + 6(x + 1) + 8
Let y = x + 1
y^2 + 6y + 8
(y + 2)(y + 4)
(x + 1 + 2 ) ( x + 1 + 4)
(x + 3)(x + 5)
If 15 ounces of candy cost $3.75 what is the price per unit
Answer:
$0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
Answer:
0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
Given: x + y = 10.
If x = -21, what is y?
Answer:
31.
Step-by-step explanation:
-21 + 31 = 10
x + y = 10
y = 31
Write the sentence as an inequality.
Three times a number w is less than 18.
Answer:
w<6
Step-by-step explanation:
3w/3 <18/3
You divide that and get w<6.
3x+1 = 27
answer choices: a) -1/3
b) -6
C) -2/3
d) -3/2
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).
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
In which story is the answer to the question 0?
1:
Neil felt sick, so his grandma took his temperature. She said his temperature
was 2°F above the normal human body temperature. At dinner time, his
temperature was 2°F higher than it was that morning. What is the difference
between Neil's temperature now and the normal human body temperature?
2:
Neil felt sick this morning, so his grandma took his temperature. She said his
temperature was 2°F above the normal human body temperature. At dinner
time, his temperature was 2°F lower than it was that morning. What is the
difference between Neil's temperature now and the normal human body
temperature?
Answer:
2
Step-by-step explanation:
It was +2 in the morning. -2 would make it 0.
the second story is the answer
write an equation in slope intercept form for the line that passes through (1,-1) and is parallel to the line described by y=2x-4
PLEASE HELP:(((((
If 2 lines are parallel, their slopes are the same, so all we need to do is plug in the given point and slope in the equation y = mx + b and solve for b.
[tex]-1 = 2(1) + b\\\\-1 = 2 + b\\\\-3 = b[/tex]
The equation of a line in slope-intercept form that goes through (1, -1) and is parallel to the line y = 2x - 4 is [tex]y = 2x - 3[/tex].
-2y - 3y + 8 = 8 -5y - 12
solve this equation fast please
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.
What information can be used to compare linear relationships? Explain why.
Answer:the slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).
Step-by-step explanation:
Answer:
Sample Response: Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.
Step-by-step explanation:
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:
A sports store is having a 20% off sale on skis. The original price of the ski is $560.00
The tax rate is 8.5%. What is the total cost of the skis?
Answer:
Total cost: 486.080$
Step-by-step explanation:
Original Price: 560.000$
Sale: 20%
Discount: 560.000$ * 20% = 112.000$
Discounted Price: 560.000$ - 112.000$ = 448.000$
Tax Rate: 8.5%
Tax: 448.000$ * 8.5% = 38.080$
Tax after Tax: 448.000$ + 38.080$ = 486.080$
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:
Two years ago Juanita bought 2 shirts for $15 and last year she bought 4 shirts for $45. Assuming the prices will increase linearly, how much will 8 shirts cost Juanita this year?
Answer:
This year, Juanita will have to use $75.
Step-by-step explanation:
Because if 2 shirts is $15, 4 shirts will be $30. $45 is $15 more than $30, so the increase is $15. 2*4 is 8, so that will make it 15*4=60. 60+15=75.
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
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.
Learn more about Fraction:
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