Answer:
The tank will empty in 4 hours.
Step-by-step explanation:
Since a barrel contains 56 liters of kerosene, and it has two taps, one tap that draws 500 ml every 6 minutes and after first 5 liters are drawn from the barrel, the second tap also starts, and it draws 1 liter in every 5 minutes, to determine how many hours will be taken in all to empty the tank, the following calculation must be performed:
0.5 x X = 5
X = 5 / 0.5
X = 10
10 x 6 = 60
1 hour = 51 liters
1 hour 30 minutes = 51 - (1 x 6) - (0.5 x 5) = 42.5
2 hours = 42.5 - (1 x 6) - (0.5 x 5) = 34
2 hours 30 minutes = 34 - (1 x 6) - (0.5 x 5) = 25.5
3 hours = 25.5 - (1 x 6) - (0.5 x 5) = 17
3 hours 30 minutes = 17 - (1 x 6) - (0.5 x 5) = 8.5
4 hours = 8.5 - (1 x 6) - (0.5 x 5) = 0
Therefore, the tank will empty in 4 hours.
a man swims for 30 mins at a speed of 109 m/min. How far does he swim?
The distance is meters per minute so you would multiply the distance per minute by total minutes:
109 x 30 = 3.270 total meters.
1 km = 1000 meters
3,270 meter/ 1000 meters per km = 3.27 km
They swam 3.27 km
The measure of ZA Is 12° greater than the measure of ZB. The two angles are complementary. Find the measure of each angle. . The mZA IS and m/B Is
Answer:
m∡ZA = 51°
m∡ZB = 39°
Step-by-step explanation:
∡ZB = 'b'
∡ZA = '12 + b'
b + 12 + b = 90
2b + 12 = 90
2b = 78
b = 39
12 + 39 = 51
Surface area of a triangular prism
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
13 in
12 in
5 in
6 in
Find the length of NL.
Answer:
8
Step-by-step explanation:
By intersecting chords theorem:
[tex]4x = 2 \times 8 \\ \\ 4x = 16 \\ \\ x = \frac{16}{4} \\ \\ x = 4 \\ [/tex]
NL = 4 + x = 4 + 4 = 8
Mr. Wu rides his bike at 6 mph to the bus station. He then rides the bus to work, averaging 30 mph.
If he spends 20 minutes less time on bus than on the bike, and the
distance from his house to work is 26 miles, what is the distance from
his house to bus station?
Fill out the information in the table for your convenience. Write the
equation. Solve. Show your work. Check your work
Answer:
26 mi
Step-by-step explanation:
Convert 20 min to hrs: 20/60 = 1/3 hr
:
Let t = time on the bike
then
t-(1/3) = time on the bus
:
Write a dist equation Dist = speed * time:
:
Bike dist + bus dist = 26 mi
6t + 30[t-(1/3)] = 26
:
6t + 30t - 10 = 26
36t = 26 + 10
36t = 36
t = 1 hr on the bike
:
6 mph for 1 h = 6 mi from house to the bus station
:
:
Check solution by finding the distance
6(1) + 30(2/3) =
6 + 20 = 26 mi
A spinner is made of three equal sections blue green and red if I spend spend 180 times how many times I expect to get red as outcome
What would you add to 1/6 to get 2/3
Answer:
0.5 or [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
In a local election, 42,300 people voted. This was an increase of 13% over the last election. How many people voted in the last election? Round to the nearest whole number.
Answer:
3253 maybe. ( I am not entirely confident with this answer)
Step-by-step explanation:
10 km = ? M ???? Pls help
Answer:
10000 meters
Step-by-step explanation:
10 km is 10000 meters
A bag contains 5 1/4 pounds of nuts. The fraction of the nuts are the almonds is 1/5. How many pounds of almonds are in the bag.
Answer:
Step-by-step explanation:
⅕ of 5¼ pounds = ⅕ × 5¼
= ⅕ × 21/4
= 21/20 pounds
find the value of x. round to the nearest degree
Not drawn to scale
Answer:
[tex]cos x =\frac{adjacent}{hypotenuse} = \frac{11}{20}\\\\x = cos^{-1} (\frac{11}{20} ) = 56.63[/tex]
x= 57°
∠DGC and ∠CGB are □ angles.
Adjacent
Complementary
Supplementary
Vertical
Answer:
angle DGC and angle CGB are adjacent angles
50 POINTS!!!!
The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. Area of the larger triangle = 145 ft
Answer:
72.2
Step-by-step explanation:
The sum of 2 numbers is 82 and one exceed the other by 40.what are the number 2
Answer:
If you are asked to work out the product of two or more numbers, then you need to multiply the numbers together. If you are asked to find the sum of two or more numbers, then you need to add the numbers together.
Step-by-step explanation:
Jack places the bottom of a ladder 9 feet from the wall. It is a huge 41 foot long ladder so he asks his sister Katie to help him. How far up the wall does the ladder reach?
Answer:
40 feet
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
a² + 9² = 41²
a² + 81 = 1681
Subtract 81 from both sides
a² = 1600
Take the square root of both sides
a = 40
Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun rights advocates in a conservative city believe that the percentage is higher among city residents.
They survey 200 city residents and find that 130 say that protecting gun rights is more important than controlling gun ownership. What is the test statistic?
Z = -3.68
Z = 3.68
Z = -3.85
Z = 3.85
Answer:
The right answer is "z = 3.68".
Step-by-step explanation:
Given that,
p = 52%
or,
= 0.52
n = 200
[tex]\hat{p}= \frac{130}{200}[/tex]
[tex]= 0.65[/tex]
Now
The test statistic will be:
⇒ [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
On substituting all the given values, we get
⇒ [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]
⇒ [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]
⇒ [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]
⇒ [tex]=3.68[/tex]
Solve for m.
√m-7=n+3
m = n2 + 6n + 2
m = n2 + 6n - 2
m = n2 + 6n + 16
Answer:
m= n² + 6n + 16
Step-by-step explanation:
i hope it helps
Answer:
m= n² + 6n + 16
Step-by-step explanation:
5.6 by the power of negative 5 can someone tell me what that equals
PLZ HELP NOW
Answer:
0.0001815766
Step-by-step explanation:
The definition of negative exponent is [tex]a^{-n}=\frac{1}{a^n}[/tex]. For 5.6 to the negative 5 power, write the reciprocal of 5.6 to the 5th.
[tex]5.6^{-5}=\frac{1}{5.6^5}[/tex]
A calculator can do the rest. It can also find the decimal value directly.
The space club is printing posters for an upcoming competition. The
printer charges $200 plus $2 for every poster. How many posters can be
printed for $950?
Answer:
375 posters can be printed for $950
Step-by-step explanation:
First, create an equation. X = number of posters: 200+2x=950
Second, subtract 200 from both sides to get an equation of: 2x=750
Third, divide 2 on both sides to get: x = 375
Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 12x – 144 = 0
a. x= -12.4 or x = -7.4
c. x = 9.4 or x = -7.5
b. x = 19.4 or x = -7.4
d. x = 9.4 or x = -3.4
Answer:
B
Step-by-step explanation:
helppppppppppppppppp
Answer:
6.4
Step-by-step explanation:
The Pythagorean Theorem says that in a right triangle,
[tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex].
In this problem,
[tex]a^2+b^2=c^2\\\\4^2+5^2=c^2\\\\16+25=c^2\\\\41=c^2\\\\c=\sqrt{41} \approx 6.4[/tex]
What is the mortgage loan value on a $375,000 home if 20% is paid as a
down payment?
$325000
$375000
$75000
$300,000
Answer:
$300000
Step-by-step explanation:
down-payment would $75000 so minus it from $375000 to get the mortgage
Answer:300000
Step-by-step explanation:
375000/100 =3750
1 percent = 3750
20 percent = 3750*20=75000
375000-75000= 300000
If it is helpful t
Yo can someone help me out
Answer:
theres an black screen
Step-by-step explanation:
mark as brainliest!!
Answer:
Cant see the image
please help NO LINKS
Asia Durr is practicing her free throws for the upcoming season. She took 12 shots and made 9 shots. Predict how many free throws Asia Durr would make if she took 72 shots in the season.
Could i get some help with this problem. 7(x-3)=49
Answer:
x = 10
Step-by-step explanation:
- The first thing to do is open parentheses:
7 (x - 3) = 49
7x - 21 = 49
- Then add 21 to each side:
7x - 21 = 49
7x = 70
- Now divide each side by 7:
7x = 70
x = 10
Last summer, Marion was 3 1/2 feet tall. She was 4 inches taller than her brother Elijah. She was 1 1/4 feet shorter than her sister Lorie. How tall were Elijah and Lorie last summer?
1 foot = 12 inches
Solution:
Elijah:
inches
Lorie:
inches
NO LINKS
Answer:
Answers below
Step-by-step explanation:
Marion: 42 inches
Elijah: 38 inches
Lorie: 57 inches
Convert each to inches and solve.
Hope this helps!
What is the value oh x?
Answer:
x
Step-by-step explanation:
djdndjdjdndjdkdjdnfnfjfndndndn b7h
Which statement describing this experiment is true?
An experiment is proposed to measure the
effectiveness of a brand of sunscreen. Adult volunteers
are randomly assigned to one of two brands of
sunscreen and asked to enjoy a normal day at the
beach. Each volunteer is asked to report back to the
administrators after two hours, at which time both arms
are assessed for sun exposure.
O The volunteers are the explanatory variables.
O. The brands of sunscreen are the response
variables.
O The amount of time in the sun is the response
variable.
O The brands of sunscreen are the explanatory
variables.
Answer:c
Step-by-step explanation:
Answer:
B i think
Step-by-step explanation:
Stole the picture off a website (which can not be named here lol)
Pls help
SAS
SSS
AAS
HL
Answer:
Step-by-step explanation:
its none, if it was SAS then the 10 would be closer to the angle
Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing.
· 1 pint of white icing
· 4 1/4 teaspoons of blue food coloring
· 2 1/2 teaspoons of red food coloring.
Explain two different ways for Patricia to find the total number of teaspoons of blue and red food coloring necessary to make the 2 pints of purple icing. (Do not solve the problem.)
Answer:
double
Step-by-step explanation:
double the teaspoons so you can get the amount you need for 2 pints
double the amount and then divided it