The equation that can be used to determine when each cooler would contain the same amount of water is 2.5 = 0.75t.
When the coolers would have the same amount of water?Equation that can be used to determine the amount of water in the first cooler at time t : 4.5 + 0.1t
Equation that can be used to determine the amount of water in the second cooler at time t : 7 + 0.25t
Where t represents seconds
When they have the same amount of water, the two above equations would be equal
4.5 + 0.1t = 7 + 0.25t
Combine similar terms
7 - 4.5 = 0.1t - 0.25t
2.5 = 0.75t
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Marshall has $700 in an account that earns 13% interest compounded annually.
To the nearest cent, how much interest will he earn in 1 year?
Marshall has $700 in an account that earns 13% interest compounded annually. At the end of one year Marshall will have the sum of $791.
How to calculate simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest.
then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
The principal amount (P)= $700
The interest rate(R) = 13%
The period of investment (T) = 1 year
Simple interest
= P×T×R/100
= 700×T×13/100
= 9100/100
= $91
Therefore, the total amount she will receive at the end of a year
= 700 + 91
= $791
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the mean of 4,8,9,x,2 is 6. calculate the value of x
Answer:
7
Step-by-step explanation:
the mean is (the sum of numbers in a data set)/(# of points in that data set).
So,
[tex]\frac{4+8+9+x+2}{5} = 6[/tex],
[tex]\frac{23+x}{5} = 6[/tex],
23+x = 6*5
23+x = 30
x= 30-23
x = 7
Hence, the value of x is 7.
Hope this helps!!!
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 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answer:
2√6
using pythagoras theorem:
a² + b² = c²
5² + b² = 7²25 + b² = 49b² = 49 - 25b² = 24b = √24b = 2√6Answer:
2√6 unitsStep-by-step explanation:
The length of the third side can be determined using pythogoras theorem. Keep in mind that pythogoras theorem can only be used when finding the missing side length of a right triangle.
[tex]\text{Pythagoras theorem: (Longest side})^{2} = (\text{Leg of right triangle}_{1} ) ^{2} + (\text{Leg of right triangle}_{2} )^{2}[/tex]
In this triangle, we are given that:
The longest side of the triangle is measuring 7 units. A leg of the triangle is measuring 5 unitsSubstitute the measures into the pythogoras theorem:
[tex](7})^{2} = (5 ) ^{2} + (\text{Leg of right triangle}_{2} )^{2}[/tex]
Simplify both sides of the equation:
[tex]\rightarrowtail (7 \times 7}) = (5 \times 5) + (\text{Leg of right triangle}_{2} )^{2}[/tex]
[tex]\rightarrowtail49 = 25 + (\text{Leg of right triangle}_{2} )^{2}[/tex]
Subtract 25 both sides:
[tex]\rightarrowtail49 - 25 = 25 - 25 +(\text{Leg of right triangle}_{2} )^{2}[/tex]
[tex]\rightarrowtail24 = (\text{Leg of right triangle}_{2} )^{2}[/tex]
Square root both sides and simplify:
[tex]\rightarrowtail\sqrt{24} = \sqrt{(\text{Leg of right triangle}_{2} )^{2}}[/tex]
[tex]\rightarrowtail\sqrt{3 \times 2\times 2 \times 2} = \sqrt{(\text{Leg of right triangle}_{2} )^{2}}[/tex]
[tex]\rightarrowtail2\sqrt{3 \tim \times 2} = \text{Leg of right triangle}_{2}[/tex]
[tex]\rightarrowtail\boxed{2\sqrt{6} \ \text{units} = \text{Leg of right triangle}_{2}}[/tex]
Find the slope of the line passing through the points of (3,-3) and (1,-1)
m=y2-y1/x2-z1
=-1--3/1-3
=2/-2
=-1
Answer:
-1
Explanation:
I am going to apply the slope formula to solve this problem:
[tex]\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf{m=\dfrac{-1-(-3)}{1-3}}\\\sf{m=\dfrac{-1+3}{-2}}\\\sf{\dfrac{2}{-2}}\\\\\sf{-1}[/tex]
Hence, the slope is -1.
Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
The value of the variable 'x' in the circle will be 26.7 units. Then the correct option is D.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
In primary mathematics, a statement defines a relationship between the four line segments formed by two crossing chords within a circle.
The equation is form by the above theorem is written as,
9 · x = 24 · 10
Simplify the equation, then we have
9 · x = 24 · 10
9x = 240
x = 240 / 9
x = 26.6667
x ≈ 26.7 units
The value of the variable 'x' in the circle will be 26.7 units. Then the correct option is D.
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what is the slope of a line that passes through (2, -5) and (6, -2)
Answer:
3/4
Step-by-step explanation:
[tex]m = \frac{ - 2 - ( - 5)}{6 - 2} = \frac{3}{4} [/tex]
HELLPPPP CAN SOMEONE HELP!
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
How many outcomes include exactly one head?
Enter your answer as a number, like this: 4
Answer:
3
Step-by-step explanation:
HTT, THT, TTH
which expression is eqivalent to 4(9+3)
You could do
36+12
4*12
4*9+12
(4*9)+(3*4)
and many more!
Find the value of X
Find the measures of the following angles
Answer:
angle X = 80; angle Y = 100; angle W = 100; x = 10
Step-by-step explanation:
opposite angles are always equal, which means that angle Z and angle X are equal.
angle X = 80º
now, angle Z plus angle Y makes a straight line, which means 180º (if you put the two angles next to each other)
that means 80 + (11x - 10) = 180
11x = 110
x= 10
by using this, we can find angles Y and W since opposites are equal
11x - 10 would be 100 and angles Y and W would be 100
An item on sale cost 65% of the original price. The original price was $19. Find the sale of the price.
Answer:
12.35
Step-by-step explanation:
Just multiply
[tex]19[/tex]
and
[tex]0.65[/tex]
Because
Orginal Price x Sale Cost= Sale of the Price.
[tex]19 \times 0.65 = 12.35[/tex]
GRADE 9 maths! due tonight please help!!
join all the points form -4 to 4
the answer for table is
(-4,-4) (-3,-3) (-2,-2) (-1,-1) (0,0) (1,1) (2,2) (3,3) (4,4)
A pattern of dots is shown below. At each step, more dots are added to the pattern. The pattern continues indefinitely. How many dots would be found in the 30th step? Explain a rule that you could use to find the number of dots in any given step.
Using an arithmetic sequence, it is found that 89 dots would be found in the 30th step.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Researching the problem on the internet, it is found that the first step has 2 dots, the second has 5 dots, the third has 8 and so on, hence the first term is [tex]a_1 = 2[/tex] and the common difference is d = 3.
Then, the number of dots in the nth step is given by:
[tex]a_n = 2 + 3(n - 1)[/tex]
In the 30th step, the number will be given by:
[tex]a_{30} = 2 + 3(30 - 1) = 89[/tex]
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
(10x-3)(10x+3) help. please
Answer:
use can FOIL method or grid method
You have 2 choices of bread: wheat or white; 3 choices of meat: ham, chicken, or beef; and 3 choices of condiments: mustard, mayo, and ketchup. If you choose each item at random, what is the probability that you will make a sandwhich with wheat bread, ham, and mustard?
Answer:
1/18
Step-by-step explanation:
Use the counting principle to find the total number of different sandwiches you can make.
2 breads
3 meats
3 condiments
Total number of different sandwiches = 2 × 3 × 3 = 18
There are 18 possible sandwiches.
You are intereseted in 1 specific sandwich out of the 18.
p(wheat bread, ham, mustard) = 1/18
1/18 is the probability that you will make a sandwich with wheat bread, ham, and mustard.
What is a number?A number is an arithmetic value used to represent quantity.
We can use the counting principle to find the total number of ways to make different sandwiches.
2 breads, 3 meats, and 3 condiments.
Total number of sandwich varieties = 2* 3* 3 = 18
There are 18 possible sandwiches.
You're only interested in one of the 18 sandwich varieties.
i.e. p(wheat bread, ham, mustard) = 1/18
Hence, the probability that you will make a sandwich with wheat bread, ham, and mustard is 1/18.
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Factor −1/4 out of −1/2x−5/4y..ㅤ
Answer:
- 1/4 (2x + 5y)Step-by-step explanation:
Divide each term by - 1/4 first
-1/2x ÷ (- 1/4) = 1/2x × 4 = 2x-5/4y ÷ (- 1/4) = 5/4y × 4 = 5yNow facor out - 1/4
- 1/2x - 5/4y = - 1/4 (2x + 5y)Pls explain thoroughly
What is 7 less than y
In math
Answer:
The algebraic expression is "y - 7".
Step-by-step explanation:
"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".
y-7
Solution:7 less means we subtract 7.Therefore, the expression "7 less than y" looks like so:y-7So we take a number y and subtract 7 from it.Hope it helps.
Do comment if you have any query.
What is p(x)? I need help ASAP
Answer:
Option C
Step-by-step explanation:
you just subtract the functions from each other.
hence,
15x - 7x - 20
p(x) = 8x - 20
find the perimeter of polygon
Answer:
22
Step-by-step explanation:
4+7+4+7=22
The original blueprint for the Morenos living
room has a scale of 2 inches
5 feet, The family
wants TO use a new blueprint that shows the
length of the living room to be 15 inches. If
the width of the living room on the original
blueprint is 6 inches and the length is 9.6 inches,
what are the scale and the width of the new
blueprint?
Answer:
new width=9.375 in
new scale= 1 foot= 0.4 inches
Step-by-step explanation:
Firstly to find the width we can set up a proportion:
[tex]\frac{x}{15}[/tex] =[tex]\frac{6}{9.6}[/tex], after solving for x, x= 9.375, which gives us our width.
To find the new scale, we knew that the old scale was 2 in=5 feet, or 1 in=2.5 feet, so to find the new one we can also set a new proportion,
[tex]\frac{1}{2.5} = \frac{15}{x}[/tex]
After solving you will get x= 37.5, so 15 inches= 37.5 feet, but to simplify we can divide,
15/37.5= 0.4
I tried my best loooool
Which value is the solution of
[tex] \sqrt[3]{3x} + 7 = 4[/tex]
A.-9
B.-1
C.3
D.19
Answer:
A
Step-by-step explanation:
[tex]\sqrt[3]{3x}[/tex] + 7 = 4 ( subtract 7 from both sides )
[tex]\sqrt[3]{3x}[/tex] = - 3 ( cube both sides to clear the radical )
3x = (- 3)³ = - 27 ( divide both sides by 3 )
x = - 9
help me solve and explain this
Answer:
B because the length of R to U is 6x5
Which of the following numbers is rational?
Answer:
B is the answer
Step-by-step explanation:
A is a normal number
C is division along with D
So it is B
Which is smaller? 439.5 million or 484 million
Answer:
439.5 million
Step-by-step explanation:
Expand the numbers:
439.5 million = 439500000
484 million = 484000000
439.5 million is smaller because 3 < 8 in the tens of millions place.
A Classic Game in Mobile Legend has 10 players. How many different ways can a bronze, silver,and gold medals be obtained, assuming that medals can be won once?
Step-by-step explanation:
Only the top player with the highest grade can be considered as MVP on the winning team.You can still be considered MVP even if you have less than 10 grade as long as you have the highest grade and your team won the matchYou can only considered MVP-loss if you have the highest grade and you qualify for a gold medalMedals for the winning teamBest case scenario: 1 MVP, 4 GoldWorst case scenario: 1 MVP, 2 Silver, 2 BronzeMedals for the losing teamBest case scenario: 1 MVP Loss, 1 Gold, 2 Silver, 1 BronzeWorst case scenario: 5 Bronze
Hello! Does anyone know how to do this I already tried some but I got them wrong. Giving brainliest!!
Answer:
The only right angles are between the lines (O,F) and (Q,D)
Step-by-step explanation:
by examination. The tangental line goes through the same point the diameter line goes through so to be tangental it has to be 90 degrees on each side.
6. Find the H.C.F. of: (a) a² + 2ab + b2-c?, b? + 2bc + ? - a and c? +2ac + a-b? +
Answer:
- (a + b)^2
- (b + c)^2
- (a - b + c) (a + b + c)
The answer is given in the photos below (for verification),
I hope my answer helps you.
How many different possible outcomes are there if you flip five coins?
Answer:
There are 10 different outcomes of flipping a coin five times.
Step-by-step explanation:
there are two sides on a coin. 2 x 5 = 10
Hope that helps!
Answer:
2
Step-by-step explanation:
it heads or tales a coin is two-sided no matter what kind unless you are talking about all together then it would be 10
- A store lowered all prices by 10%. By how
much will the price of a $35 item be lowered?
111
Answer:
so, it's 0.1x35=3.5
it will be lowered by 3.5 dollars
Answer:
$31.50
Step-by-step explanation:
Original price: $35
Discount percentage:
10%
Results
Discount: $3.50
Final Price: $31.50
Details
Discount = Original Price x Discount %/100
Discount = 35 × 10/100
Discount = 35 x 0.1
You save = $3.50
Final Price = Original Price - Discount
Final Price = 35 - 3.5
Final Price = $31.50
Aaron wants to paints a wall in his office. There are two windows in the wall. The windows have dimensions of 4 feet by 3 feet. The height of the wall is 8 feet and the width is 12 feet. What area of wall is to be painted.
Answer:
Answer:we are looking for the area of the Wall to be painted.
Answer:we are looking for the area of the Wall to be painted.Area=L × B
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows area
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LB
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12AW=84
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12AW=84therefore area to be painted=84feet square
