A bottle contains 2 liters of water. The bottle leaks 80 milliliters of water every 3 minutes. Will the bottle be empty in 1 hour? Explain why or why not. (1 liter = 1,000)
Answer:
No
Step-by-step explanation:
2 liters = 2,000
80/3 = 26.6
the bottle leaks 26.6 milliliters in a min
26.6 * 60 = 1596
1596 / 1000 = 1.596 ( to convert to liters)
the bottle will leak 1.596 an hour
No, the bottle will not empty in one hour because the bottle will leak 1.596 an hour.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary MethodFirst, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Volume of bottle = 2 liters = 2,000 ml
For three minutes bottle leaks = 80 ml
In one minute bottle leak= 80/3
= 26.6 ml
In one minutes the bottle leak
=26.6 * 60
= 1596 ml
=1.596 liters
1596 / 1000 = 1.596 ( to convert to liters)
No, the bottle will not empty in one hour because the bottle will leak 1.596 an hour.
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Simplify by factoring. √1350x^4
Answer:
15[tex]x^{2}[/tex][tex]\sqrt{6}[/tex]
Step-by-step explanation:
√1350x^4= √2*5*5*3*3*3x^4 = 5*3x^2√2*3 =5[tex]x^{2}[/tex][tex]\sqrt{6}[/tex]
How would you write the equation with a slope of 2/3 and a y-intercept of (0,-3)?
Answer:
y = (2/3)x - 3
Step-by-step explanation:
Slope-intercept form: y = mx + b
Note that:
y = (x , y)
m = slope
x = (x , y)
b = y-intercept.
The point is given to you. Note that:
(x , y) = (0 , -3) ∴
x = 0
y = -3
The slope = m = 2/3
Plug in the corresponding numbers to the corresponding variable:
y = mx + b
-3 = (2/3)(0) + b
-3 = 0 + b
b = -3
Plug in -3 for b in the equation:
y = mx + b
y = (2/3)x -3
y = (2/3)x - 3 is your equation.
~
The perimeter of a rectangle is 90 cm the length is 27 cm what is the width of the rectangle
Answer:
width = 18 cm
Step-by-step explanation:
perimeter of rectangle = 2(length + width)
then:
90 = 2(27+w)
90/2 = 27+w
w = width
45 = 27+w
45 - 27 = w
18 = w
Check:
90 = 2(27+18)
90 =2*45 =
Use the graph below to determine the number of solutions the system has.
Answer:
The system has 4 solutions
Step-by-step explanation:
When the two lines meet at a point it means that the point is a solution, in this case the lines meet 4 times.
On a board measuring 1x100, each square is numbered from
1 to 100. Three colors are used to paint the squares from left
to right. The following pattern is repeated: one blue square,
two red squares, three green squares, one blue, two red,
three green and so on.
What is the highest numbered square that is painted blue?
SUV
Answer:
97
Step-by-step explanation:
Given the following conditions :
board measuring 1x100, each square is numbered from 1 to 100
Three colors are used to paint the squares from left to right in the sequence :
one blue, two reds and three green squares in a repeated pattern.
What is the highest numbered square that is painted blue?
The sequence of painting is repeated after :
(1 + 2 + 3) = 6 successive squares
Since the number of squares = 100
Maximum complete repetition possible :
100 / 6 = 16 remainder 4
Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)
On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.
Hence, the highest numbered square that is painted blue is 97
Patterns are simply the rules that guide the formation of elements in a dataset. The highest numbered square that is painted blue is 97.
The sequence is given as:
[tex]Blue = 1[/tex]
[tex]Red = 2[/tex]
[tex]Green = 3[/tex]
The number of squares is given as:
[tex]n = 100[/tex]
First, we calculate the number of complete iteration of the sequence of squares.
[tex]Total = Blue + Red + Green[/tex]
[tex]Total = 1+2+3 =6[/tex]
So, the complete iteration (k) is:
[tex]k = \frac{n}{Total}[/tex]
[tex]k = \frac{100}{6}[/tex]
[tex]k = 16.67[/tex]
Remove decimal (do not approximate)
[tex]k = 16[/tex]
Next, calculate the position of the last element in the iteration.
[tex]Position = k \times Total[/tex]
[tex]Position = 16 \times 6[/tex]
[tex]Position = 96[/tex]
The blue square is the first on each iteration.
So, the highest numbered blue square is:
[tex]Highest = Position + Blue[/tex]
[tex]Highest = 96 + 1[/tex]
[tex]Highest = 97[/tex]
Hence, the highest numbered square that is painted blue is 97.
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A section of the theater has been reserved for 378 people . If each row in the theater seats 18 people, how many rows have been reserved
Answer:
21 reserved rows
Step-by-step explanation:
If A section of the theater has been reserved for 378 people and each row seats 18 then
378 divided by 18 = 21 reserved rows
Answer:
21 rows have been reserved
Step-by-step explanation:
You divide 378 by 18
What simplified common fraction is equivalent to $0.0\overline{57}$?
Answer:
0
Step-by-step explanation:
0/57 is going to be 0 since you have 0 out of 57 pizzas.
Answer:
90/330
Step-by-step explanation:
Aops Question
It costs $109 per night to rent a motel room in Georgia. There is a one-time $30 non-refundable deposit required. How much will it cost your family to rent a room for a week in Hampton?
Answer:
$793.00
Step-by-step explanation:
109x7=763
763+30=793
Find the area of the triangle below. Be sure to include the correct unit in your answer.
Answer:
54 cm^2.
Step-by-step explanation:
Area = 1/2 * altitude * base
= 1/2 * 6 * 18
= 54 cm^2.
Customers of a phone company can choose between two plans for long distance calls. The first plan has a $17 monthly fee and charges an additional $0.08 for each minute of calls. The second plan has an $8 monthly fee and charges an additional $0.13 for each minute of calls. How many minutes of calls Will the costs of the two plans be equal?
Answer:
180 minutes of calls
Step-by-step explanation:
Let x represent the minutes of calls
The first plan's cost can be represented by 0.08x + 17
The second plan can be represented by 0.13x + 8
Set them equal to each other and solve for x:
0.08x + 17 = 0.13x + 8
17 = 0.05x + 8
9 = 0.05x
180 = x
So, it will take 180 minutes of calls for the plans to be equal.
Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Margin of error seven percentage points; confidence level 90%; from a prior study, is estimated by the decimal equivalent of 54%
n=_____ (round to the nearest integer.)
Answer:
137
Step-by-step explanation:
Given the following :
Margin of Error (E) = 7% = 0.07
Confidence level = 90% = 0.9
Prior study (p) = 54% = 0.54
Using the sample size formula:
([Z/E]^2) × p × (1 - p)
(1 - p) = 1 - 0.54 = 0.46
Z score at 90% confidence interval. = 1.645
[(1.645 / 0.07)^2] * 0.54 * 0.46
(23.5^2) * 0.54 * 0.46
552.25 * 0.54 * 0.46
= 137.1789
= 137
Sample size = 137
In the diagram below, AngleDAB and AngleDAC are adjacent angles. Lines A B, A D, and A C create two angle. The space between lines A B and A D is (2 x minus 10) degrees. The space between lines A D and A C is (x minus 20) degrees. If mAngleDAC = 25°, what is mAngleDAB in degrees? What is Angle BAC in degrees? Which defines a circle?
Answer:
∠DAB = 80°
∠BAC = 105°
Step-by-step explanation:
You are given ...
∠DAC = 25° = (x -20)°
Adding 20°, we have ...
x° = 45°
Then the measures of the other angles are ...
∠DAB = (2x -10)° = 2(45°) -10°
∠DAB = 80°
and
∠BAC = ∠DAB +∠DAC = 80° +25°
∠BAC = 105°
_____
Nothing in this problem statement defines a circle.
A pre-paid cell phone company charges $10.4 as a monthly access fee and $0.18 per minute of calling time. Express the monthly cost C in terms of minutes of call time. What will the monthly cost be if you make 315 minutes of calls this month?
Answer:$67.10
Step-by-step explanation:
Using the first statement we can generate the equation c= 0.18m + 10.4 where c is the cost and m is the number of minutes. So if you make 315 minutes of call then input that for m and solve for c.
c= 0.18(315) + 10.4
c= 67.10
Could anyone help me with this?
Any help would be appreciated!
Answer:
this might help you....
Answer:
See below.
Step-by-step explanation:
In the figure above, ∠WXY and ∠YXZ are a linear pair.
What is a Linear Pair?
A Linear Pair is 2 angles that are adjacent, and form a straight line when combined. A Linear Pair contains 2 Supplementary Angles, angles that add up to 180°.
Their measures add up to 180°.
In order to find y, because they're a linear pair, we can set up an equation with the 2 angles equal to 180°.
[tex]4y+6y+30=180[/tex]
Combine Like Terms:
[tex]10y+30=180[/tex]
Subtract 30 from Both Sides:
[tex]10y=150[/tex]
Divide by 10:
[tex]\frac{10y}{10} = \frac{150}{10} \\y = 15.[/tex]
The value of y is 15.
Now since we know the value of y, we can substitute 15 into each angle to find their measure.
Substitute:
[tex]4(15)=60\\6(15)+30=120[/tex]
The measure of ∠WXY is 60° and the measure of ∠YXZ is 120°.
Without doing the calculations, determine whether -47-(-33) or -47+(-33) is greater
Answer:
-47-(-33) is greater
Step-by-step explanation:
the negative number and the subtraction end up to be addition
How much is the total cost to mail this package?
Answer:
19.44
Step-by-step explanation:
If HFG is complementary to ACB, then
A. ACB is complementary to DFH
B. ACBEZDFH
C. ACB is supplementary to DFH
D. ACBZHFG
Mark this and return
Here is the scale model of a fountain at a museum the scale is 1:30 how many boulders are in the real fountain
Answer:
When we do a scale model of something (like a building, a house, or whatever) al the properties of the original thing must also be in the model.
So for example, you want to do a model of a house, and in the backyard of the house there are 4 trees, then in the model of the house you also need to put 4 trees in the backyard (indifferent of the scale of the model).
Then the number of boulders in the really fountain should be the same as the number of boulders in the scale model of the fountain.
Answer:
c. 10
Step-by-step explanation:
i just took the test
A color printer prints 11 pages in 4 minutes.
How many pages does it print per minute?
Answer:
2.75
Step-by-step explanation:
11/4 = 2.75
Hoped I helped
Which of these is not a technique that can be used to randomly assign students to a treatment group?
Answer:
A. Winning an election for class president.
Step-by-step explanation:
It would not be fair because in an election you have to vote and having people vote into what group to be in, would not be randomly assigned and it would not be fair.
Answer:
A
Step-by-step explanation:
Did it already
Shawna reads a scatterplot that displays the relationship between the number of cars owned per household and the average number of citizens who have health insurance in neighborhoods across the country. The plot shows a strong positive correlation.
Shawna recalls that correlation does not imply causation. In this example, Shawna sees that increasing the number of cars per household would not cause members of her community to purchase health insurance.
Identify the lurking variable that is causing an increase in both the number of cars owned and the average number of citizens with health insurance.
A) Average income per household
B) The number of cars on the road
C) The number of citizens in the United States
D) Average mileage per vehicle
Answer:
The correct answer is:
A) Average income per household
Step-by-step explanation:
Correlation of variables is the statistical relationship between two variables. A correlation is positive if both variables move in the same direction (e.g both are increasing, or both are decreasing), and negative if the variables move in different directions - as one variable increases, the other decreases.
Correlation does not imply causation: This means that one can not legitimately associate a cause-and-effect relationship between the two variables, especially when there is a third variable (lurking) that has an effect on the outcomes that is not included as an explanatory or response variable.
In this example, it cannot be legitimately shown that increasing the number of cars per household would cause members of the community members to purchase health insurance, but when we bring in the lurking variable, which is the increase in average income per household, we can see that this possibility might cause more people to buy more health insurance even after they have purchased cars, because they have more money to spend.
A 6 inch personal pizza has 630 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.
Answer:
157.5.
Step-by-step explanation:
If the 6-inch pizza has 630 calories, the 12-inch pizza has double.
6 x 2 = 12.
Therefore, the 12-inch pizza has 1,260.
630 x 2 = 1,260.
There are 8 slices in a pizza, making the answer 1,260 / 8.
1,260 / 8 = 157.5
An estimation could be 150 if you round 630 to 600.
Hope this helps!
The number of calories in one slice of a 12-inch pizza would be 157.5.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given that the 6-inch pizza has 630 calories,
Therefore, the 12-inch pizza has double i.e. 1,260 calories.
To determine the number of calories in one slice of a 12-inch pizza.
We have to apply the division operation in 1,260 between 8,
⇒ 1,260 / 8.
⇒ 157.5
If we round 630 to 600, an estimate would be 150.
Hence, the number of calories in one slice of a 12-inch pizza would be 157.5.
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Can someone help me find the angle measurements
Answer:
12. 50 degrres
13. 90 degrees
14. 40 degrees
15. 50 degrees
16. 130 degrees
17. 90 degrees
Step-by-step explanation:
12. Angle UAY is equal to 50 degrees as it is stated in the graph
13. Angle YAZ is 90 degrees, as there is a square at the angle, meaning that the angle is a right angle.
14. Angle ZAX + Angle UAY + Angle YAZ = 180, as it is supplementary.
We know Angle UAY and Angle YAZ, so we can find Angle ZAX
Angle ZAX = 180 - UAY - YAZ = 180 - 50 - 90 = 40 degrees
15. Angle XAW = 50 degrees, as it is vertical angles with Angle UAY.
16. Angle WAU = Angle YAX = Angle YAZ + Angle ZAX = 90 + 40 = 130 degrees
17. Angle ZAW and Angle YAZ are supplementary, so they add up to 180 degrees.
Angle YAZ = 90 degrees, so Angle ZAW must also equal 90 degrees.
if f(x)=ln x then limx→2 f(x)= 1 2 Infinite Does Not Exist None of the above
Answer:
[tex]\lim_{x \to 2^{+}} f(x) = 2[/tex]
None of the above.
Step-by-step explanation:
f(x) = [x], in the graphing calculator, is f(x) = int(x).
This means we take the floor of x, or round down all the time.
The question is asking us to find the limit as x approaches 2 from the right. Since the graph from [2, 3) is going to be y = 2, we know that if we are approaching from the right of x → 2, we will approach y = 2 (shown in graph).
If we were to approach x → 2 from the left, then we would approach y = 1 (shown in graph).
If we were to approach from both the left and the right, then we would get DNE.
add the fractions and simplify the answer:2 1/4+5 5/6+3 2/3
Alisa, Mykia, and Martin decide to share the responsibility of walking their dog every
day. There are 365 days in a year, How many days each year does Alisa need to was
the dog?
Step-by-step explanation:
No of friends = 3
No of days = 365 days
Days Alisa needs to walk the dog = 365 ÷ 3 = 121. 66
The midpoint of (-4,15) and (22,3)
Answer:
(9, 9)
Step-by-step explanation:
midpoint of (-4,15) and (22,3)
[tex] = \bigg( \frac{ - 4 + 22}{2}, \: \: \frac{15 + 3}{2} \bigg) \\ \\ = \bigg( \frac{18}{2}, \: \: \frac{18}{2} \bigg) \\ \\ = ( 9, \: \: 9) \\ \\ [/tex]
18u^4w^6y^7+12u^9w^8
Answer:
[tex]6u^4w^6(3y^7+2u^5w^2)[/tex]
Step-by-step explanation:
[tex]18u^4w^6y^7+12u^9w^8[/tex]
we can only take common factor
18 and 12 have 6 as a common factor
in variables we have
[tex]u^4w^6y^7[/tex] and [tex]u^9w^8[/tex] so we see clearly that it is [tex]u^4w^6[/tex]
so we have
[tex]6u^4w^6(3y^7+2u^5w^2)[/tex]
as far as you can go