Since both fractions have the same denominator, divide the numerators:
15/3 = 5
There are 5 servings.
A planet has a circular orbit around a star. It is a distance of 59,000,000 km from the centre of the star. It orbits at an average speed of 41,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answer:
380 days
Step-by-step explanation:
Problem in post:
The radius of the orbit of the planet is 59,000,000 km.
The orbit is circular, so the length of the orbit is the circumference of a circle with radius 59,000,000 km.
distance = circumference of orbit = 2(pi)r = 2 * 3.14159 * 59,000,000 km = 370,707,933 km
speed = 41,000 km/h
speed = distance/time
time * speed = distance
time = distance/speed
time = (370,707,933 km)/(41,000 km/h) = 9,042 hours
Now we convert hours into earth days.
1 earth day = 24 hours
9,042 hours * (1 day)/(24 hours) = 376.73 days
Answer: 380 days
Problem in comments:
Nina and Jo both ran an 8 km race.
Nina took 45 minutes to run the whole race.
Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Solution:
They met at 5 km. Let's find out how long it took Nina to run 5 km.
We can use a proportion.
(8 km)/(45 min) = (5 km)/(x)
x * 8 km = 45 min * 5 km
x = [(45 * 5)/8] min
x = 28.125 min
They met after Nina was running for 28.125 minutes.
Jo started 4 minutes after Nina, so Jo ran for 4 minutes less than Nina. Jo ran 5 km in 24.125 minutes.
speed = distance/time
speed = (5 km)/(24.125 min) * (60 min)/(1 hr)
speed = 12.43523 km/h
Answer: Jo's speed is 12.44 km/h
Please help! Read the question down below!
I will give brainliest answer and upvote
Answer:
397.39
Step-by-step explanation:
steps are all stated in the picture, basically use area of circle minus area of rectangle will give you the shaded area
A number c minus 3.4 is less than 14. Write this word sentence as an inequality.
An inequality is _____
Answer:
c-3.4<14
Step-by-step explanation:
We translate the words into an inequality. A number, C, minus 3.4 is less than 14.
c-3.4<14
A car travels 3 hours at 50mph; then travels
40mph for 7 hours. How many miles does it
travel during the 10 hours?
Hi!
So, the car travels for 3 hours at 50 miles an hour.
That makes 150 miles.
Then, 40 miles per hour for 7 hours.
That makes 280 miles.
Add it together to get 430 miles
Can someone help please
Answer:
9
Step-by-step explanation:
its perpendicular so you do the negative reciprical
Answer:
The correct answer is
A. 9
Step-by-step explanation:
Since the line is going up the slope will be positive... That leaves us with 2 options A/B. However the red line is much steeper and therefore has a greater slope so A is the answer.
Hope this helps!
- Quinn <3
PLEASE HELP ME !!!!!!!!!!
Answer:
x=139
Step-by-step explanation:
since a straight line is equal to 180 degrees line LN is 180 degrees therefore to figure x you must subtract 41 from 180 to get 139 hope this helps! :)
Answer:
z = 139°
Step-by-step explanation:
LON is a straight angle (an angle with 180°). You can tell just by looking at it.
41° is a supplement (meaning it adds up to 180°) of z.
From there you can just do
180° - 41° = 139°
z° = 139°
hope this help brainliest is always cool
A random sample of 48 was taken from a shipment of 10,080 light bulbs from Light Bulbs Express. Out of the 48 light bulbs, 5 were red. How many red bulbs would you expect in the entire shipment?
______________red bulbs (Round answer to the nearest whole number).
A random sample of 62 was taken from another shipment of 15,500 from Light Bulbs R Us. There were 6 red bulbs in the sample. How many red bulbs would you expect in the entire shipment?
_____________red bulbs (Round answer to the nearest whole number)
Which company has the highest ratio of red bulbs in their shipment?
Company ______ (Type either A or B)
Company A = Light Bulbs Express
Company B = Light Bulbs R Us
Answer:
1. Expected(Red) in Shipment A = 1,050
2. Expected(Red) in Shipment B = 1,500
3. Company A has highest ratio of red bulbs
Step-by-step explanation:
Given
Shipment A (Light Bulb Express):
Total Light Bulb = 10,080
Sample Size = 48
Red Bulbs = 5
To calculate the expected number of Red bulbs;
We start by calculating the probability of Red;
P(Red) = Number of Red / Sample Size
P(Red) = 5/48
Expected Number of Red Bulbs is calculated as follows;
Expected(Red) = P(Red) * Total Light Bulb
Expected(Red) = 5/48 * 10,080
Expected(Red) = 50400/48
Expected(Red) = 1,050
Hence, the expected number of red light bulbs in the entire shipment is 1,050
Given
Shipment B (Light Bulb R Us):
Total Light Bulb = 15,500
Sample Size = 62
Red Bulbs = 6
To calculate the expected number of Red bulbs;
We start by calculating the probability of Red;
P(Red) = Number of Red / Sample Size
P(Red) = 6/62
Expected Number of Red Bulbs is calculated as follows;
Expected(Red) = P(Red) * Total Light Bulb
Expected(Red) = 6/62 * 15,500
Expected(Red) = 93000/62
Expected(Red) = 1,500
Hence, the expected number of red light bulbs in the entire shipment is 1,050
The company with highest probability has the highest ratio;
For Company A (Light Bulb Express)
Probability = 5/48
Probability = 0.1042
For Company B (Light Bulb R Us)
Probability = 6/62
Probability = 0.0968
Since 0.1042 is greater than 0.0968, we can conclude that Company A has the highest ratio of red bulbs;
A girl flying a kite lets out 130 feet of string that makes an angle of 52° with the ground. If the string forms a straight line, how high is the kite above the ground? Hint: Draw a picture (triangle) and label. 80.04 feet 102.44 feet 166.39 feet 164.97 feet
Answer:
The height of the kite above the ground is 102 .44 feet
Step-by-step explanation:
To find the height of the kite above the ground, we will follow the steps below:
let h represent the height of the kite above the ground
we will use trigonometric ratio to solve
SOH CAH TOA
sinФ = opposite/hypotenuse
cosФ=adjacent / hypotenuse
tanФ=opposite / adjacent
from the diagram below
opposite = h
hypotenuse = 130 feet
Ф = 52°
The best trig ratio to use is sin
sin Ф = opposite / hypotenuse
sin52° = h / 130
cross-multiply
h = 130 sin 52°
h=102.44°
The height of the kite above the ground is 102 .44 feet
Is (–6, 6) a solution to the equation y = –x?
Answer:
yes
Step-by-step explanation:
y = –x
Substitute the point into the equation
6 = - (-6)
6 = 6
This is true so the point is a solution to the equation
5x=29x what is the value of x
Answer:
x = 0
Step-by-step explanation:
5x=29x
Subtract 5x from each side
5x-5x=29x-5x
0 = 24x
Divide each side by 24
0/24 =24x/24
0 = x
You're choosing between two car rental companies. Company A charges an initial fee of $15 with $.25 per mile, while Company B only charges $.50 per mile. How many miles will it take for both companies to have the same service price? What's this price amount? Use the following systems of linear equations to solve by graphing. Company A: y = 0.25x + 15 Company B: y = 0.50x
Which is correct:
A. 55 miles; $25
B. 62 miles; $35
C. 60 miles; $30
D. 58 miles; $29
Answer:
60 miles; $30
Step-by-step explanation:
Given:
y = 0.25x + 15 ...........Eq1
y = 0.50x.............Eq2
Where, x = miles and y = Total cost of ranting
Find:
Total cost of ranting.
Computation:
From Eq1 and Eq2
0.25x + 15 = 0.50x
0.25x = 15
x = 15 / 0.25
x = 60 miles
From Eq 2
y = 0.50(60)
y = $30
someone plsss help me
Answer:
Step-by-step explanation:
Let
( x1 , y1 ) =( 14 , 22)
( x2 , y2) = ( - 5 , 22)
Now the slope of line is given by
Slope(m)
= ( y2 - y1) / ( x2 - x1)
= ( 22 - 22) / ( -5 - 14 )
= 0/-19
= 0
Hope this helps :)
Need Help ASAP will give brainliest!!!!
Answer:
Puppy' present weight = 2250 grams
Puppy last weight = 600 grams
Difference = 2250-600 = 1650
%age increase = (1650/600) x 100
= 275%
I need help with this question
-30(E+H=50)
-30E-30H=-1500
30E+60H=1950
(add the 2 equations)
0E+30H=450
H=15
(plug H into first equation)
E+15=50
E=35
Find the value of X
Plz help me it’s emergency
Answer:
x = - 2
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
Evaluating the numerator
9³ × 9 = [tex]9^{(3+1)}[/tex] = [tex]9^{4}[/tex] , thus
[tex]\frac{9^{4} }{9^{6} }[/tex]
= [tex]9^{(4-6)}[/tex] = [tex]9^{-2}[/tex]
and [tex]9^{-2}[/tex] = [tex]9^{x}[/tex]
Since bases on both sides are 9, then equate exponents
x = - 2
in each diagram the line BD bisects angle ABC. Find the measure of angle ABC
Answer:
80°
Step-by-step explanation:
∠ABC= ∠ABD+∠CBD
as BD bisects ∠ABC, we have
∠ABD=∠CBD2x+20°= 4x2x=20°x=10°∠ABC= 2*4x= 8x= 80°
In a basketball tournament, Team A scored 5 less than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Let the variable b represent Team B’s total points. The equation representing this scenario is (2b – 5) + b + (b + 80) = 983. Team B scored 227 total points.
Which statement is true based on the information?
Team A scored 307 points.
Team C scored 307 points.
Team A scored twice as many points as Team C.
The sum of the points scored by the three teams is 841.
Answer: The correct answer is B or Team C scored 307 points.
Step-by-step explanation:
Answer:
Choice B. Team C scored 307 points.
Step-by-step explanation:
Team B scored 227 points.
Choice A:
Team A: 2b - 5 = 2(227) - 5 = 454 - 5 = 449
Choice A is false.
Choice B:
Team C: b + 80 = 227 + 80 = 307
Choice B is true.
Choice C:
2 * 307 = 614
614 is not the same as 449.
Choice C is false.
Choice D:
The sum of the points is given as 983.
Choice D is false.
Answer: Choice B. Team C scored 307 points.
which is lighter 900000g or 9 tonnes
900000g coz 9 tonnes is like 9000000g
Answer:
900000gm is lighter than 9 tonnes
Step-by-step explanation:
907185 = 1 ton
907185 x 9 = 8164665
You underline how many digits = 7 and see that 900000gm has only 6 digits.
The five triangle congruence are sss, sas, aas, asa and hl criteria. Fully explain why aaa is not a triangle congruence criteria
Answer:
As you may know, the addition of all the interior angles of a triangle always adds up to 180°.
So if we know two angles of the triangle, A1, and A2, we can find the third angle as:
A1 + A2 + X = 180°
X = 180° - A1 - A2.
Se with only knowing two angles, we can find the third angle.
So aaa is a criteria equivalent to aa.
Now, the problem with this criteria is that also works for finding similar triangles (for example, an equilateral triangle of sides 10 and an equilateral triangle of sides 20 are similar, as the angles are the same, but are not congruent, as the length of the sides is different) and this happens because we only have information of the angles and know nothing of the sides.
Please help! Read the question below!
Answer:1 quarter, 2 dimes and 1 nickel, 5 nickels, 3 nickels and 1 dime
Step-by-step explanation:
Helllp!
How many lines of symmetry does a regular heptagon have? Explain your answer!
Answer:
7
Step-by-step explanation:
Regular polygons have the same number of lines of symmetry as they do sides
Answer:
7 lines of symmetry
Step-by-step explanation:
If you draw a line from every intersection of the shape, you can get seven lines going through, which makes seven lines.
What Am I - using what you know
about triangles, find my missing
measurement and then tell me
my first and last name. First name,
acute, obtuse and righte Last name,
Scalene, isosceles, equilateral.
1) One angle is 82 degrees, the other is
75 degrees, What is my missing angle?
What is
my first and last name?
Find b+c. WILL GIVE BRAINLIEST TO GOOD EXPLANATION
Since both equal to 0
Do 8
thats because if you simplify you get 8
Answer:
8
Step-by-step explanation:
Let's start off by making both equal to each other, since they are both equal to 0
x²+5x+3=x²+bx+c
let's subtract x² from both sides
5x+3=bx+c
therefore
b=5 and c=3
5+3=8
While on the golf course last weekend Marc hit into the rough landing the ball behind a tall tree. His best option was to get it high enough to get over the tree and hopefully come down in the fairway for his next shot. So with a mighty swing he hit the ball into the air and was surprised to see the ball hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is: h(x)= -16x^2+120 where h is the height of the ball and x is the number of seconds the ball is in the air.
Question 1. How high did Marc actually hit the ball?
Later during that same golf outing, Marc decided to show off by trying to hit the green in one shot. So with his macho swing, he said he hit the green as the ball hung in the air for 15 seconds. The formula for this shot is: h(x)= -16x^2+200x
Question 2. How long did the ball actually hang in the air?
Answer:
120 ft at 0 seconds
Question 2: 12.5 seconds in the air
Step-by-step explanation:
h(x)= -16x^2+120
We want to find the vertex
The vertex is at
h = -b/2a = 0/-32 = 0
The maximum is at 0
h(0) = 0+120 = 120
it occurs at 0 seconds and a height of 120 ft
h(x)= -16x^2+200x
We want to find the zeros of the function
0= -16x^2+200x
Factor out -8x
0 = -8x(2x -25)
Using the zero product property
-8x=0 2x-25 =0
x =0 2x =25
x=25/2
The ball starts on the ground at 0 seconds and lands at 12.5 seconds
3a) What is the side length of the following square?*
Answer:
5.831
Step-by-step explanation:
This is a similar problem to the last 2 you posted.
Start at bottom vertex. Go up 5. Go left 3.
c^2 = a^2 + b^2
c^2 = 5^2 + 3^2
c^2 = 25 + 9
c^2 = 34
c = sqrt(34)
c = 5.831
Use the graph to determine the domain and range
of the piecewise defined function.
Domain:
-6
-6
1 <<6
2
Answer:
Domain = {-6 ≤ x ≤ 2, x ≠ 0}
Range = {1 < y ≤ 6}
Step-by-step explanation:
Answer:
Domain: -6[tex]\leq x<0 or 0<x\leq 2[/tex] Option A
Range: 1<y[tex]\leq 6[/tex]
Step-by-step explanation:
ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!
Point R has coordinates (-5, -7) and point T has coordinates (3,-3).
Which point is located 1/4 of the distance from point R to point T?
Enter x-coordinate of the point here
and they
coordinate of the point here
Answer:
(-3,-6)
x-coordinate = -3
(I think)
Step-by-step explanation:
The pictures show my explanation.
Hope this makes sense! I hope this helps! Have a great day! :)
Which expression is equivalent to
15a8b4/5a4b?
Answer:
[tex]3a^4b^3[/tex]
Step-by-step explanation:
[tex]\frac{15a^8b^4}{5a^4b}\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\=\frac{3a^8b^4}{a^4b}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{a^8}{a^4}=a^{8-4}\\=\frac{3b^4a^{8-4}}{b}\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=\frac{3a^4b^4}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:b\\3a^4b^3[/tex]
