Answer: 834 days
Step-by-step explanation:
The tank will be half full when it has lost 100 L.
Convert that to milliliters so that it can be compared with the loss rate:
1 l = 1,000 ml
100 l = 100 * 1,000
= 100,000 ml
The rate of loss is 120 ml per day. To lose 100,000 ml, the leak would have to have been going on for:
= 100,000 / 120
= 833.3
= 834 days (less than half full)
Determine the value of x in the diagram.
PLEASE HELP.
Select the correct answer.
Solve the system of equations below.
5x + 2y = 9
2x - 3y = 15
Answer:
(3, -3)
Step-by-step explanation:
To solve for a system of equations, use substitution.
First, solve for one variable in an equation.
2x - 3y = 15
Add 3y to both sides.
2x = 3y + 15
Divide both sides by 2 to get x by itself.
x = 1.5y + 7.5
Put this in the other equation.
5x + 2y = 9
Substitute the variable.
5(1.5y + 7.5) + 2y = 9
Distribute the 5 inside the 1.5y + 7.5.
7.5y + 37.5 + 2y = 9
Combine like terms.
9.5y + 37.5 = 9
Subtract 37.5 from both sides.
9.5y = -28.5
Divide both sides by 9.5.
y = -3.
Now take this value and put it in the other equation to get your x.
2x - 3y = 15
Substitute variable.
2x - 3(-3) = 15
Multiply.
2x + 9 = 15
Subtract 9 from both sides.
2x = 6
Divide both sides by 2.
x = 3.
Your pair is (3, -3).
Express the series using sigma notation.
4 + 16 + 64 + 256 + 1,024
Answer:
EASSYYY
Step-by-step explanation:
1364
The series using sigma notation is [tex]^5\sum_{n=1}=4(4)^{n-1}[/tex]. Therefore, option A is the correct answer.
What is the sum of the infinite series formula?The general formula for finding the sum of an infinite geometric series is S=a/r-1, where s is the sum, a1 is the first term of the series, and r is the common ratio.
Given that, sum = 4 + 16 + 64 + 256 + 1024
Using sigma notation, this can be expressed as:
[tex]^5\sum_{n=1}=4(4)^{n-1}[/tex]
Therefore, option A is the correct answer.
Learn more about the sum of the infinite series here:
brainly.com/question/11752555.
#SPJ2
someone please help!!!
Answer: top
Step-by-step explanation:
Of the cans of soup in Rolando’s cupboard, 2/4
are tomato and
1/3 are vegetables. What fraction of the cans of soup in Rolando’s cupboard are either tomato or vegetable?
A
5/6
B
6/20
C
19/20
D
8/12
Answer:
A
Step-by-step explanation:
To find the answer, convert the fractions so that they have the same denominator. 2/4 can be 3/6, since both of them are one half. 1/3 can be 2/6 since both are a third. 3/6 + 2/6 = 5/6.
There are blank
legs for every 4 ears.
There are blank
legs for every 1 ear
Answer:
There are 8 legs for every 4 ears.
There are 2 legs for every 1 ear.
Step-by-step explanation:
The pig and the mouse have a total of 4 ears.
We can count to see that there are 8 legs for every 4 ears.
We want to find a ratio of legs to ears that is equivalent to 8:4
What number is 1 tens and 20 ones?
Answer:
30
Step-by-step explanation:
1 ten = 10, 20 ones = 20
Expand and combine like terms.
(5 - 2x^4) (5 + 2x^4) =
Answer:
25 - 4x^8
Step-by-step explanation:
Use FOIL here.
Combine the first terms of both expressions.
5 * 5 = 25
Combine the outer terms of both expressions.
2x^4 * 5 = 10x^4
Combine the inner terms of both expressions.
-2x^4 * 5 = -10x^4
Combine the last terms of both expressions.
-2x^4 * 2x^4 = -4x^8
(a^x * a^y = a^(x+y).)
Now add those terms.
25 + 10x^4 - 10x^4 - 4x^8
Combine like terms to get:
25 - 4x^8.
Answer:
[tex]25 - 4x^8[/tex]
Step-by-step explanation:
1) [tex](5 - 2x^4) (5 + 2x^4)[/tex]
Simplify using [tex](a - b)(a + b) = a^{2} - b^{2}[/tex]
2) [tex]5^{2} - (2x^4)^{2}[/tex]
Evaluate the power
3) [tex]25 - (2x^4)^{2}[/tex]
4) [tex]25 - 4x^8[/tex]
La suma de dos numeros es 57, y su diferencia es 9
Answer:
La suma de dos numeros es 57.Si el mayor de los dos números es 9 menos que el doble de los más pequeños, encuentre los dos números.
(Scroll Down for Answer!)
Step-by-step explanation:
3*y = 57 + 9 = 66
y = 66/3 = 22
x + 22 = 57
x = 57 - 22 = 35
Por lo tanto, los números son 35 and 22.
What is the circumference of a circle with radius 3?
6pi
9pi
3pi
3pi/2
Plsss hElpp!!!!! TY!!
Find the area of the circle below, to the nearest tenth. Use 3.14 for t.
Given:
A circle with diameter 9 cm.
To find:
The area of the circle.
Solution:
The area of a circle is:
[tex]A=\pi r^2[/tex] ...(i)
Where r is the radius.
We know that, the diameter of a circle is twice than its radius.
The diameter of the given circle is 9 cm.
[tex]r=\dfrac{9}{2}[/tex]
[tex]r=4.5[/tex]
Substituting [tex]r=4.5, \pi =3.14[/tex] in (i), we get
[tex]A=(3.14)(4.5)^2[/tex]
[tex]A=(3.14)(20.25)[/tex]
[tex]A=63.585[/tex]
[tex]A\approx 63.6[/tex]
Therefore, the area of the given circle is 63.6.
PLEASEEEEEEEEEEEEEEEEE
What is 2x - 1 < 3? Solve
Answer:
x<2
Step-by-step explanation:
Answer:
x<2
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x−1<3
Step 1: Add 1 to both sides.
2x−1+1<3+1
2x<4
Step 2: Divide both sides by 2.
2x/ 2 < 4/ 2
x<2
Answer:
x<2
Samantha drives at a rate of 45 mph. Bridget drives at a rate of 70 miles every 2 hours. Who drives faster?
Answer: Samantha
Step-by-step explanation: 70 miles every two hours is only 35 mph, so Samantha is faster
Answer:
Samantha is faster then Bridget because Samantha is 45 and Bridget is 35
Find the surface area of a sphere with a diameter of 12 mm.
Answer:
A≈4.52×10-4m²
Step-by-step explanation:
Unit Conversion:
d=0.012m
Using the formulas
A=4πr2
d=2r
Solving for A
A=πd2=π·0.0122≈4.52389×10-4m²
Answer:
1809.5574 mm²
Step-by-step explanation:
Input Data :
Length = 12 mm
Objective :
Find what is the surface area of the sphere for given input data?
Formula :
Surface Area = 4πr2
Solution :
Surface Area = 4 x 3.1416 x 122
= 4 x 3.1416 x 144
Surface Area = 1809.5574 mm²
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Answer:pi
Step-by-step explanation:
pi
Answer:that eqauls pie
Step-by-step explanation:
can anybody help me with these?
(no links or files) Solve this equation using the quadratic formula. This question should be solved both ways. (1) Quadratic Formula and (2) Factoring
A country's population in 1991 was 147 million.ON 1998 it was 153 million.Estimate the population in 2017 using the exponential growth formula round your answer to the nearest million.
Note when solving foe k,round four decimal places
P=Aekt
Answer:
its 169 million i think sorry if wrong have a good day
Step-by-step explanation:
The height of any child in Mr.Diaz’s class is no greater than 46 inches
Answer: h _<_ 46
there’s the line underneath the sign
Step-by-step explanation:
If the mean of the data set shown below is 11, find x.
x, 12, 8, 15
11.5
10
9
Answer:9
Step-by-step explanation:
You have to add it together
FIND THE ANSWER AND I WILL GIVE BRAINLIEST AND 50 POINTS
Answer:
Paul needs to work for 50 weeks.
Step-by-step explanation:
1,500+200= 1700
14,200-1,700= 12,500
12,500/125= 100
100/2= 50
let me know if this is wrong.
Which of the following steps would you perform to the system of equations below so that the equations have equal x coefficients? 4x+2y=4 12x+y=22 A. Multiply both sides of the top equation by 3 B. Divide both sides of the top equation by 3 C. Divide both sides of the bottom equation by 2 D. Multiply both sides of the bottom equation by 3
Pls help! First correct answer gets brainliest!!
Answer:
3 and -(-2)
Step-by-step explanation:
Jasmine is getting a new playground in her backyard she graphed them playground area on the coordinate grid shown blow Each square on the diagram represents 1 square foot.what is the area of the playground
Answer:
c=72
Step-by-step explanation:
7x8=56
4x8/2=16
56+16=72
I WILL GIVE BRAINLIEST TO WHOEVER DOESNT USE A LINK OR FILE AND JUST ANSWERS THE QUESTION
A family wants to rent a car to go on vacation. Company A charges $50.50 and 11¢ per mile. Company B charges $60.50 and 14¢ per mile. How much more does Company B charge for x miles than Company A?
Answer:
3 more cents per mile
Step-by-step explanation:
divide the sum of 15 and 16 by 5
Answer:
6.2
Step-by-step explanation:
15+16=31
31/5=6.2
Step-by-step explanation:
[tex]15 + 16 \div 5 \\ calculate \: the \: sum \: of \: 15 \: and \: 16 \\ 31 \div 5 = 6 \frac{1}{5} \\ or \: 6.2[/tex]
Convert 6.3 meters to millimeters.
Answer:6300mm
Step-by-step explanation:
Write a formula for r in terms of θ for the following figure.