Answer:
They have the same amount of tokens after t = 7.6 hours
Step-by-step explanation:
Since Gavin initially has 50 token and rides the roller coaster three times per hour, he uses 3 token per hour. So, the number of token he losses after t hours is 3 token per hour × t hours = 3t. Thus, the number of tokens left after t hours is T = 50 - 3t
Since Gibson initially has 12 tokens and finds two tokens on the ground per hour, he gains 2 tokens per hour. So, the number of token he gains after t hours is 2 token per hour × t hours = 2t. Thus, the number of tokens he has after t hours is T' = 12 + 2t
To calculate the time t when they will have the same tokens, T must be equal to T', that is T = T'.
So, 50 - 3t = 12 + 2t
collecting like terms, we have
50 - 12 = 3t + 2t
38 = 5t
dividing both sides by 5, we have
t = 38/5
t = 7.6 hours
So, they have the same amount of tokens after t = 7.6 hours
What is the value of this expression below when z=8 and w=3
9z-8w
Answer:
Step-by-step explanation:
Putting values in the equation
9z - 8w
9(8) - 8(3)
72 - 24
= 48
Answer:
9z-8w=48
Step-by-step explanation:
9x8-8x3
72-24=48
Find the equation that shows the relationship between the number of pens, p, and the
total cost, c.
5
10
15
20
Number of Pens (p)
$3.95
$7.90
$11.85
$15.80
Cost (c)
Answer: c= 0.79p
Step-by-step explanation:
Divide each cost by the number of pens it have to find the constant change value.
3.95/5 = 0.79
7.90/10= 0 .79
11.85/15 = 0.79
15.80 / 20 = 0.79
Since the constant change is 0.79 which means that for each pen it will cost you $0.79, then the equation will be c= $0.79p where c is the cost and p is the number of pens.
5% of 60 is what number?
a . 6
b . 5
c . 3
d . 60
Answer: The answer is 3
Step-by-step explanation:
Which could be the length of DB
Answer:
5
Step-by-step explanation:
If AD was 6, and D isn't in the middle of the triangle, then DE must be a number lower than 6.
Which the only number like this is 5.
Hope this Helps!
:D
Place the steps in the correct order
Answer:
1. Add x on both sides.
2. Divide both sides by 4.
3. Add 20 to both sides.
4. Divide both sides by 3.
Brainliest Appreciated! Hope I helped!
From Mickey Grace to Everyone:
Grace is 4 years older than Elena. If Grace is 9
years old, how old is Elena? Grace is
Answer:5
Step-by-step explanation:
Hi please help me thank you love you
it takes 3 tractors 2 hours to plow a square field whose side is 600 meters. find the number of hours it would take 5 tractors to plow a square field whose side is 1000 meters.
PLEASE ANSWER FAST. 200 POINTS
Answer:
5 tractors can plow a square field of side length 1,000 meters in 3.33 hours (3 hours 20 minutes)
Step-by-step explanation:
Let's find out how much each tractor can plow each hour.
[tex]\frac{600^{2} }{3*2}=60,000m^{2}[/tex] per tractor per hour
[tex]1,000^{2}=1,000,000m^{2}[/tex] is the area of the field of side length 1,000 meters
5 tractors can plow [tex]300,000m^{2}[/tex] per hour.
[tex]\frac{1,000,000}{300,000}=3.33[/tex] hours
can you show a video or a pic of the answer 3.4 mi/h = ft/sec
Answer:
4.99 ft/sec
Step-by-step explanation:
1 mile = 5280 feet
3.4 miles = 17952 feet or (3.4 x 5280= 17952)
1 hour = 3600 seconds (60 minutes per hour x 60 seconds per minute)
17952 feet / 3600 seconds = 4.99 feet per second
Can someone help me with this?
Answer:
Vertical
Step-by-step explanation:
They make a bow tie, so to speak.
Tiara earns $33 washing 3 cars. At this rate, how much does Tiara earn washing 9 cars?
Answer:
$99
Step-by-step explanation:
Answer:
$99 (Verified Answer) ✅Step-by-step explanation:
The best way to solve this is to use a proportion. However, since this is a rate, we could also find the unit rate and multiply it by the number of cars Tiara is washing.
Method 1: Proportion[tex]\frac{33}{3} = \frac{x}{9}[/tex]
3x = 33 x 9
3x = 297
Now, we simply divide by 3 to get $99.
We can check this by substituting the value of x in the original proportion.
3(99) = 33 x 9
297 = 297 ✅
Method 2: Unit RateThe other way to solve this is to divide the whole expression by the number of cars to find the unit rate. In other words, how much money does she get for washing 1 car. We can then multiply this by the number of cars to get the answer.
$33/3 for 3/3 cars
$11 for 1 car
Now, we will multiply by the number of cars she washes in this question, which is 9
$11 x 9 = 99 for 1 x 9 cars
$99 for 9 cars
Again, we have the correct answer, which we have already verified by the process above. As you can see, both methods work. However, the top method is easier and since it uses algebra, is almost foolproof, so long as the algebraic processess are followed.
Hope this answer has helped, please mark it brainliest if it did :)Find the values of x and y!!(help please)
BRAINLIEST FOR WHO ANSWERS
(−2x ^2 −4x+2) - (−6x+2)
The answer is not -2x+2x
Answer:
-2x^2-2x
Step-by-step e-xplanation:
−2x2−4x+2−(−6x+2)
Distribute the Negative Sign:
=−2x2−4x+2+−1(−6x+2)
=−2x2+−4x+2+−1(−6x)+(−1)(2)
=−2x2+−4x+2+6x+−2
Combine Like Terms:
=−2x2+−4x+2+6x+−2
=(−2x2)+(−4x+6x)+(2+−2)
=−2x2+2x
PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!!
Answer:
the picture is really blurry i cant see anything
Step-by-step explanation:
who's good at math? i need help ASAP. *don't mind the red numbers, i think they're wrong*
Answer:
Seems like someone answered them, because the red writing is right, but here's the answers with explanation
Step-by-step explanation:
The vertex is the point at which the graph changes direction as we go from left to right. Maximum means the graph is changing direction and going down, so the f(x)-values start becoming smaller. So the graph reached its maximum/highest point and dropped.Minimum means the graph is changing direction and going up, so the f(x)-values start becoming bigger. So the graph reached its minimum/lowest point and started risingNow the answers:Vertex is (-1,0) because if you look at the numbers for f(x) they go, 4 then 1, then 0, but instead of getting smaller they start getting bigger, so it changes as this point and goes up so minimumvertex is (3,44), when you look at f(x) it goes 143, then 88, then 55, then 44, then it changes and starts getting bigger so minimumvertex is (-4,-5) but this one is different from the first two. f(x) starts with -17 then -9, then -5, then it sort of stops and stays there, then -5 then drops and gets smaller. So it changes at x=-4 so use this point, immediately before the change and it is maximumVertex is (21,500) because f(x) was getting bigger but then it changes and goes down and becomes smaller, so it is maximumvertex is (1.5,6) the point immediately before the change, and we see f(x) was getting smaller going down, but it changes and goes up and gets bigger so it is minimumvertex is (0.5,5) because it was getting big then changed and started getting smaller so maximumDescribe fully the single transformation that takes shape P to the shape Q
Answer:
Enlargement by a scale factor of 3 centre (1,0)
Step-by-step explanation:
Answer:
Dilation by a scale factor of 3 about (1,0)
Enlargement by a scale factor of 3 centre (1,0)
Step-by-step explanation:
u have to put both to get the full marks
hope this helped :)
Lines AB and MN intersect at P.
N
A
(3x + 24)
(9x - 54)
P
B
M
What is the value of x?
Answer:
x = 13
Step-by-step explanation:
To solve for x, we set equations (9x - 54) and (3x + 24) equal to each other because the angles are equal
(9x - 54) = (3x + 24); add 54 to both sides
9x = 3x + 78; subtract 3x from both sides
6x = 78; now divide by 6
x = 13
Pure copper was mixed with a 10% copper alloy to produce an alloy thát was 25% copper. How much of the pure copper and how much 10% alloy were used to produce 36 kg of 25% alloy?
Answer:
6kg pure copper and 30 kg 10% copper was mixed to give 36kg of 25% alloy
Step-by-step explanation:
Here, we want to produce 36 kg of 25% alloy
Let the Pure copper be x kg while 10% alloy be y kg
Pure copper is simply 100% copper
Thus;
x + y = 36 •••••(i)
Then;
100% of x + 10% of y = 25% of 36
= x + 0.1y = 9 •••••• ii)
From i x = 36-y
from ii, x = 9-0.1y
Equate both x
36-y = 9-0.1y
36-9 = 0.1y + y
0.9y = 27
y = 27/0.9
y = 30
x = 36-y
x = 36-30
x = 6 kg
Need Help ASAP!!!
Find the sine of G
Answer:
≈0.68
Step-by-step explanation:
with what u have u can get [tex]cos G^{-1}[/tex]
so it will be equal [tex]\sqrt43[/tex]/9 =43°13'49.75"
now u can get the sine
sin 43°13'49.75" ≈ 0.68
-5w = -80. solve for w.
Answer:
w=16
Step-by-step explanation:
-5w = - 80 Divide both sides of the equation by- 5 -5w ÷(-5)= - 80 ÷ ( - 5 ) any expression divided by itself equals 1 w = - 80 ÷ ( - 5 ) = w = 16 also you should use photomath that's what I use
Answer:
w=16
Step-by-step explanation: -80/-5=16
Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 34 books. There are 1,265 mystery books. How many shelves will he need to build?
Answer:
37.2 = 38
Step-by-step explanation:
After divideing 1265 by 34, you will get 37.2. As you cannot have books not in bookshelves, you will have to round up and have 38 bookshelves.
I jus need the focus and directrix please.
Answer:
the vertex is (3,-2), the focus is (3,-7/4), and the directrix is y=-9/4
Step-by-step explanation:
in order to find the vertex, you convert the equation into vertex form so
y=(x-3)^2-2
With this, we can find the vertex which is at (3,-2)
In order to find the focus and diretrix, we need to find the value of p
We do this by creating the equation:
x^2=4py
in this case, (x-3)^2=4p(y+2) so 4p must equal 1 so p is 1/4
In order to find the focus, we add the value of p to the y coordinate of the vertex so the focus is (3,-2+1/4) which is (3,-7/4)
In order to find the directrix, we subtract the value of p to the y coordinate of the vertex so the directrix passes through the point (3,-2-1/4) which is (3,-9/4)
When we graph this parabola, we can tell that the directrix will be in the form of y = a and since this line passes through (3,-9/4) the directrix is y=-9/4
I hope you understand this explanation.
A formal proof uses all of the following components except what?
A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules
Answer:
The answer is B.
Please find the value of this one expression
Answer:
Solving the expression [tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)[/tex] we get 6
The answer is 6.
Step-by-step explanation:
We need to find value of expression: [tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)[/tex]
We know that [tex]\sqrt{81}=9[/tex]
Our expression will become
[tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{9 } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-2 -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-4)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4[/tex]
We can write [tex]\sqrt[6]{8}=(2^3)^{\frac{1}{6}}=(2)^{\frac{3}{6}}=2^\frac{1}{2}=\sqrt{2} \\[/tex]
Now, replacing [tex]\sqrt[6]{8}=\sqrt{2}[/tex]
[tex]=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4\\=\frac{2}{\sqrt{2} }.\sqrt{2}+4\\=2+4\\=6[/tex]
So, solving the expression [tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)[/tex] we get 6
which of the following numbers in order from least to greatest?
A .20×10
B .20
c . 8.66
D . 8.66 ×10
Answer:
b.
a.
c.
d.
Step-by-step explanation:
a .20x10=2.00
b .20
c 8.66
d 86.6
Answer:
B
A
C
D
Step-by-step explanation:
This are from the lowest to greatest.
This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?
Answer:
58
Step-by-step explanation:
Answer:
$58
Step-by-step explanation:
I WILL GIVE BRAINLIEST
Estimate the value of the irrational number (0.6289731...)^2. Up to how many decimal digits is the estimation correct?
(1.) 5
(2.) 4
(3.) 6
(4.) 7
Answer:
6
Step-by-step explanation:
i am 96% sure it is 6
i might be wrong tho so i would wait for another answer ._.
Answer:
Its 6 and give the other guy his brain he deserves it
Step-by-step explanation:
4 friends are sharing a new pack of pencils. if there are 12 pencils in each pack how many will each friend get?
(I am lazy to answer this by myself so please help me)
Answer:
3
Step-by-step explanation:
3 times 4 equals 12
hope I got it right
Step-by-step explanation:
they would each get 4 pencils
a. y = 3/4x - 5 I'm confused on how I'm suppose to find the slope and y-intercept.
Answer:
The slope is 3/4 and the y-intercept is -5.
Step-by-step explanation:
Your equation is already in slope-intercept form, so all you have to do is look at it. Slope-intercept form looks like y = mx + b, where m is the slope and b is the y-intercept. Hope that helps!
A department store buys 500 shirts at a cost of $13,500 and sells them at a selling price of $30 each. Find the percent markup.
Answer:
5.5% hope this helps have a great day!
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
i think if you do 13,5000 divided by 30 you get 450 thats why im saying 450