.A bucket is filled with 1 3/4 gallons of water. The bucket has a small hole and 1/4 gallon leaks out every hour. How many hours will it take for the bucket to be completely empty? What must you do to the mixed number in order to solve this problem?
Given :
A bucket is filled with 1 3/4 gallons of water.
The bucket has a small hole and 1/4 gallon leaks out every hour.
To Find :
How many hours will it take for the bucket to be completely empty.
Solution :
We know , mixed fraction of form a p/q is given by :
[tex]a\ p/q = \dfrac{(a\times q)+p}{q}[/tex]
So, 1 3/4 = 7/4 .
Let, after t hours bucket is empty.
[tex]\dfrac{7}{4}-\dfrac{1}{4}t = 0\\\\t = 7\ hour[/tex]
Therefore, it takes 7 hours for the bucket to be completely empty.
Hence, this is the required solution.
What is the reciprocal for
2 1/8?
Answer:
8/17
Step-by-step explanation:
Please make me the Brainliest, please and thank you.
Answer: 17/8
Im not sure of this sorry
HELLLPP!!!!
Which series of transformations will move the triangle in quadrant 1 onto the similar triangle in quadrant three?
Answer:
Its D if you think about it
Step-by-step explanation:in your mind move the triangle on the top right down 6 units and then turn your triangle 90 degrees counter clockwise (quick maths)
The only transformation that will move the triangle in quadrant 1 onto the similar triangle in quadrant three is;
Option D; translation 6 units down and rotation 90° counterclockwise
The y-coordinate of the right angle vertex of the triangle in quadrant 1 is y = -2. Meanwhile the y-coordinate of the same right angle point of the triangle in quadrant 3 is y = -4.
Thus, for the triangle in quadrant 1 to be on the same level with that in quadrant 3, we need to translate the triangle in quadrant 1 downwards by 6 units.
Now, since we want to map this newly translated triangle to the one in quadrant 3 and as such we need to rotate it 90° counterclockwise
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The table below shows the cost per pound of different vegetables.
Prices of Vegetables
Vegetable
Cost (per pound)
Potatoes
$3.89
Squash
$4.68
Carrots
$1.67
Cucumbers
$2.59
What is the estimated cost for 7.8 pounds of potatoes?
$16
$24
$32
$40
Answer:
16
Step-by-step explanation:
i got it right on the test
Answer:
16...
hope, it helps! x
What is the vertex of y= x2 - 8x + 14 ?
Answer:
( 4 , − 2 )
Step-by-step explanation:
Hurry this is due in a couple of minutes!!!!!
Answer:
1. 1:1500
2. 1500 times
Step-by-step explanation:
1 foot=12 in.
500*12=6000
4:6000=1:1500
Plz HELP with a and b I WILL MARK AS A BRAINLIEST IF YOU CAN HELP ME WITH BOTH A AND B PLZZ
Answer:
a) x = 60
b) b = 110
Step-by-step explanation:
A)
2x and 120 are vertical angles.
vertical angles are equivalent.
2x = 120
divide both sides of the equation by 2
2x/2 = 120/2
x = 120/2
x = 60
B)
b + 20 and 130 are on the same side of the line
(I forgot what the math term is, but they're also equal)
b + 20 = 130
subtract 20 from both sides of the equation
b + 20 - 20 = 130 - 20
b = 130 - 20
b = 110
Explain the error in this student's work and make the correction
2^2 x 2^4 x 2^3 = 2^24
Answer:2^9
Step-by-step explanation:
The student multiplied the exponents instead of adding the exponents.
Hope this helps.
Find the equation of the line
Y=__x + __
why do terms have to be like terms?
Answer:
Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily.
A delivery truck drives three routes in one day. The first route is 1223 miles long, the second route is 1034 miles long, and the third route is 1512 miles long. What is the total number of miles the delivery truck drives? Enter your answer as a mixed number in simplest form by filling in the boxes. $$ miles
Answer:
[tex]Total = 38\frac{11}{12}\ miles[/tex]
Step-by-step explanation:
Given
[tex]First\ Route = 12\frac{2}{3}\ miles[/tex]
[tex]Second\ Route = 10\frac{3}{4}\ miles[/tex]
[tex]Third\ Route = 15\frac{1}{2}\ miles[/tex]
Required
Determine the total miles
[tex]Total = First\ Route + Second\ Route + Third\ Route[/tex]
[tex]Total = 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2}[/tex]
Convert to improper fractions
[tex]Total = \frac{38}{3} + \frac{43}{4} + \frac{31}{2}[/tex]
Take LCM
[tex]Total = \frac{152 + 129 + 186}{12}[/tex]
[tex]Total = \frac{467}{12}[/tex]
[tex]Total = 38\frac{11}{12}\ miles[/tex]
Last year 42 new houses were built in a neighborhood. So far this year 5/7 of them have been sold. How many new houses have been sold this year?
Answer:
30
hope this helps.
Answer:
35 houses
Step-by-step explanation:
i need help please!!!!
Answer:
1/12 i hope this is correct i think so i did it in my calculator so i hope it helps
Step-by-step explanation:
pls help!! 15 points! What are the minimum and maximum values of t for which |t + 3| ≤ 2?
Minimum=
Maximum=
Answer:
Minimum: x<-1
Maximum: x> 1
both are also equal to i just don’t have the sign
what is 11x11 ????????????????????
Answer:
121
Step-by-step explanation:
11 x 11
this is what goes on in my head you don't have to this but this is what i do
10 x 10 = 100
10 x 1 = 10
1 x 10 = 10
1 x 1 = 1
100 + 10 + 10 + 1 = 121
The product of the numbers 11 with 11 is 121.
Given are the numbers 11 and 11.
We have to find the product of these numbers.
This can be found in various ways.
We can study the perfect squares from 1 to 20 to know it fast.
Else you can use normal multiplication.
Or another method is,
Split both 11 as 10 and 1 and then find the product with each.
10 × 10 = 100
Then find 10 with 1.
10 × 1 = 10
Then find 1 with 10.
1 × 10 = 10
Then find 1 with 1.
1 × 1 = 1
Total is 100 + 10 + 10 + 1 = 121
Hence the number is 121.
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Solve xy − 9 = k for x. I WILL MARK BRAILIEST
Answer:
x = [tex]\frac{k+9}{y}[/tex]
Step-by-step explanation:
Given
xy - 9 = k ( add 9 to both sides )
xy = k + 9 ( isolate x by dividing both sides by y )
x = [tex]\frac{k+9}{y}[/tex]
The output of a function is 5 more than 2 times the input. Find the input when the output is 17.
Answer:
The input when the output is 17 is x=6.
Step-by-step explanation:
Functions
Assume the input is called x and the output is the function f(x). Two times the input is 2x. 5 more than that is 2x+5.
Knowing the output of the function is 5 more than 2 times the input, we can write the function as:
f(x)=2x+5
Now find the input x when the output is 17:
17=2x+5
Swap sides of the equation:
2x+5=17
Subtract 5:
2x=17-5=12
Divide by 2:
x=12/6=6
The input when the output is 17 is x=6.
1. Choose the correct number to continue the pattern.
0, 5, 2, 7, 4, 9, 6,
Answer:
11
Step-by-step explanation:
Answer:
the next 3 are: 11,8,13. hope this helps!
7/3 ×3/8=
I REALLY NEED HELP
Answer:
0.875 or 7/8
Step-by-step explanation:
I put it in a calculator
Answer:
the answer is 7/8
Step-by-step explanation:
7/3 ×3/8 =7/8
IMMEDIATE HELP PLS TY
J is the Midpoint of Segment MN. If MJ=23, Find MN.
Answer:
46?
Step-by-step explanation:
if 3 times a number added to 2 is divided by the number plus 9 the result is 5 halves. find the number
Answer:
2/7
Step-by-step explanation:
Part A
find the area of the given figure
Answer:
where is the figure
Step-by-step explanation:
93 is what percent of 620?
%
Answer:
15%
Step-by-step explanation:
Answer:
15%
Step-by-step explanation:
Length breadth and height of a room are 5 metre 4 metre and 4 metre Calculate its area
Answer:
Area = L x B
= 5m x 4m =20m square
10. (02.03)
Below are the steps to solve an equations
Step 1: IX - 4l+ 1 = 8
Step 2: IX - 4l = 8 - 1
Step 3: IX - 4l = 7
Which of the following is a correct next step to solve the equation? (1 point)
X-4 = -7
x+4=-7
x + 4 = 7
-x-4= 7
Answer:
x-4 = 7 , x-4 = -7
Step-by-step explanation:
IX - 4l+ 1 = 8
Subtract 1 from each side
IX - 4l = 8-1
IX - 4l = 7
Then separate into two equations, one positive and one negative
x-4 = 7 x-4 = -7
YALLLL HELPPP
Question 2 of 10
If a country is taking action to increase its overall productivity and make sure
its businesses are successful, it is pursuing which economic goal?
A. Per capita improvement
O B. Economic growth
C. Stable prices
O D. Full employment
SUBMIT
Answer:
B.Economic growth
Step-by-step explanation:
per capita income can't be just improved by making a business successful
stable prices need a good income and that's not a point given in the question
Making business successful doesn't make all the citizens employed. so the most relevant answer is economic growth as grown business in a country provides tax and thus ensures the economic growth
Korie randomly selects a number from the numbers shown below 54, 60, 11, 0, 5, 7, 20
what is the probability that the number she selected is an even number
Answer:
I think its 3 out of 7
can somebody help me ?
How many ounces are in 4 1/2 quarts