Answer:
1. 8 hours 2. 12 pumps
Step-by-step explanation:
1. 80 ×10=800
there are 800 miles between abuja and lagos
800÷100=8
it will take 8 hours
2. with 3 pumps it takes 36 hours. you need to be 4 times quicker so you need 4 times more pumps.
4×3=12 pumps
Answer:
1) 8 hours
2) 12 pumps
Step-by-step explanation:
1)
Distance travelled=800 km
Because if you use the speed distance time triangle, 80*10=800
We can then use this to find out how long it would take to travel it at a different speed.
800km/100=8 so it takes 8 hours
2)
36*3=108 so if there was only one pump, it would take 108 hours to fill the pool.
108/9=12 so you would need 12 pumps
Find the probability of drawing a 6 and then a 6
(without replacement) from a standard deck of carNs.
A deck of cards has 52 total cards and four 6’s
Picking a 6 first would be 4/52 = 1/13
Without replacing there are 51 cards left and three 6’s
Picking a 6 would be 3/51 = 1/17
Probability of doing both is:
1/13 x 1/17 = 1/221
please help Yuto has a bag containing 3 red marbles, 5 blue marbles, 2 green marbles, and 8 yellow marbles. Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble?
Answer: 47.1%
Step-by-step explanation:
Answer:
The answer is C.17
Step-by-step explanation:
Drink your daily water!! Have a nice day everyone :)
If 4 is added to three quarter of a number and the result is 1. Find the number.
Answer:
-4Step-by-step explanation:
Let the number be X
According to Question,
[tex]4 + \frac{3}{4} x = 1[/tex]
[tex]4 + \frac{3}{4} x - 4 = 1 - 4[/tex]
[tex] \frac{3}{4} x = - 3[/tex]
[tex]x = \frac{ - 3 \times 4}{3} [/tex]
[tex]x = \frac{ - 12}{3} [/tex]
[tex]x = - 4[/tex]
Hope this helps...
Good luck on your assignment...
What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary. x = y =
Answer: on edge. it’s -2.6 and 5.2
Step-by-step explanation:
i just did it.
Answer:
x = -2.6
y = 5.2
Step-by-step explanation:
e2020 ; )
Sean is trying to decide between four Roth IRAs. The month after the required initial contribution (RIC), he wants to start contributing the minimum subsequent investment (MSI) each month. Compare the cost of the minimum initial investment and Sean's monthly contribution for each IRA over the next 10 years. Which Roth IRA would Sean put the most money in over those 10 years?
Answer:
Option C.
Step-by-step explanation:
So, in the question above we are given that the value or parameters for the required initial contribution (RIC) and
the minimum subsequent investment (MSI) for each options and we are going to calculate the amount that will be gotten after investing in each options and the one that gives the highest values will be the correct option, which in this case is OPTION C.
So, we will be starting from the OPTION C, in white have that the
required initial contribution (RIC) = $5,000 and the minimum subsequent investment (MSI) = $100 for option C.
One year = 12 months
10 years = x months.
x = 10 × 12 = 120 months in ten years.
Thus, the formula for the Calculation is given below;
= 120 months × minimum subsequent investment (MSI) + required initial contribution (RIC).
= (120 months × $100) + $5,000 = $17,000.
If we Calculate for the other options with this format, we will have values for option A = $13, 000 and option B= $2,900 and the value for the investment in option D = $12,050.
$17,000 is the highest which is for option option C. Therefore, Sean should put his money in option c for better investment.
5p coins weigh approximately 3 grams.
What would be the weight of £5 worth of 5p coins?
Give your answer in kg.
Answer: 0.3 kg
Step-by-step explanation:
£5 = 500p
500p ÷ 5 = 100
100 x 3 = 300 grams
300 ÷ 1000 = 0.3 kg
Hope this helps :)
Answer:
Hello!
_______________________
1 coin = 5p =20
5 x 20=100
100 x 3=300
0.3 kg
Step-by-step explanation: Multiply.
Hope this helped you!
For f(x) = 4x+ 1 and g(x) = x2 - 5, find (f+ g)(x).
Answer:
x^2+4x-4
Step-by-step explanation:
4x+1+x^2-5
x^2+4x-4
Answer:
A. x² + 4x - 4
Step-by-step explanation:
When the question asks for (f + g)(x), it simply means to add function f(x) and function g(x):
4x + 1 + x² - 5
4x + x² - 4
x² + 4x - 4
Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
(3,2)
Step-by-step explanation:
y = −2x + 8
y = x − 1
Substitute the second equation into the first equation for y
y = -2x+8
x-1 = -2x+8
Add 2x to each side
x-1+2x = -2x+8+2x
3x -1 = 8
Add 1 to each side
3x-1+1 = 8+1
3x =9
Divide by 3
3x/3 = 9/3
x=3
Now find y
y = x-1
y =3-1
y=2
(3,2)
Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section? Explain your answer.
Answer:
A triangle.
Step-by-step explanation:
The plane would pass through opposite sloping faces of the pyramid and through the base; the shape formed is a triangle.
Find the surface area of a triangular pyramid with side of 6m, height of 5.2 m, and altitude of 7.2m
Answer:
6x5.2/2=15.6 and four sides so 15.6*4=62.4 and left with 7.2*6/2=21.6 and add u get 84
Step-by-step explanation:
Samatha received $500 as a graduation present and decides to invest it in an account that is
compounded continuously. How much will be in the account at the end of 5 years if the interest
rate is 3%?
Answer:
Step-by-step explanation:
m= month
3÷100= 0.03
0.03×500=$15
$15/m
$15×5×12=$900
$500-$900=
Answer: -$400
find the value of x A. does not exist B. -7 C. 26 D. 35
Answer:
A-does not exist
Step-by-step explanation:
The pythagorian theorem :
12²+x²= (x-2)²144+x²= x²-4x+4144-4+x²-x²= -4x 140 = -4x x = 140/-4x= -35That's absurd . A side cannot be negative since it's a distance
It was obvious from the beginning since one of the sides is greater than the hypotenus wich is impossible x≥x-2
Answer:
A. does not exist
Step-by-step explanation:
Since this is a right triangle we can find the value of x using Phytagorian Theorem
(x-2)^2 = 12^2 + x^2
x^2 -4x + 4 = 144 + x^2 (x^2 will be eliminated)
-4x = 144
x = -36 since the side lengths cannot be negative we select the option A which says it doesn't exist.
PLEASE HELP ME IM SO CONFUSED The volume of a cube is x³ cubic units. The surface area of the cube is x³ square units. What is the value of x?
Answer: The value of x is 6.
Step-by-step explanation:
TO find the volume of a cube you cube any side length. so if the side length is 6.
6^3 = 216
To find the surface area of a cube you will square one of the side lengths and multiply it by 6.
so the side length is 6 and 6 squared is 36
36*6 = 216
Helppp!!!! please!!!
Answer:
D
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{120}{360}[/tex]
= 2π × 24 × [tex]\frac{1}{3}[/tex] = [tex]\frac{48\pi }{3}[/tex] = 16π → D
A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag the possibility of not drawing a black marbles is? The probability of drawing a red marble is?
Answer:
3/10
Step-by-step explanation:
as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.
Answer:
The possibility of not drawing a black marble= 4/5
The probability of drawing a red marble = 3/10
Step-by-step explanation:
Blue marbles = 5
Black marbles = 2
Red marbles = 3
Total marbles = 5 + 2 + 3 = 10
The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5
The probability of drawing a red marble = No of red marbles/Total marbles =3/10
Keisha wants to buy a stereo. Her mother said if Keisha saved 75% of the cost of the stereo, she would pay the other 25% and the taxes. If the cost of the stereo is $150.00, how much money does Keisha need to save?
Answer:
$112.50
Step-by-step explanation:
150x.75=112.5
Answer:
its 112.50
Step-by-step explanation:
i got it right
Matt bought some boards to build a wooden deck. Some of the boards were 4 ft long and some of the boards were 5 ft long. He bought 35 ft of boards altogether. How many boards altogether did Matt buy?
Answer:
8 boards.
Step-by-step explanation:
Since he bought a few of each length. The only combination that works is when he bought 5 of the 4 ft long board so 4×5=20. Than he bought 3 of the 5ft boards 3×5=15. 20+15=35 ft worth of boards.
Matt brought total 8 boards out of which the 5 boards are of 4ft and 3 boards are of 5ft.
We have a guy named Matt who bought some boards to build a wooden deck. Some of the boards were 4 ft long and some of the boards were 5 ft long. He bought 35 ft of boards altogether.
We have to find out how many boards he bought all together.
What do you mean by the solution of a equation ?The solution of an equation is the value at which the left hand side and right hand side of the equation equals to each other.
In the question, it is given that there are 4ft long and 5ft long boards and matt brought 35 ft of board all together.
Let us assume that the number of 4 ft boards he bought are = x and the number of 5ft boards be y, then according to question -
4x + 5y = 35
[tex]y = \frac{-4x + 35}{5} \\y=\frac{-4x}{5} + 7[/tex]
Now, all the points that lie on this line are the possible answers but the number of boards cannot be in decimal. Hence, the solution x = 5 and y=3, which will give us 4 x 5 + 5 x 3 which is equal to 35.
Hence, Matt brought 5 boards of 4ft and 3 boards of 5ft.
To solve more questions on linear equations in two variables, visit the link below -
https://brainly.com/question/22557080?referrer=searchResults
#SPJ2
NEED HELP ASAP WHOEVER ANSWERS THE QUESTION RIGHT FIRST GETS THE MOST BRAINLIEST
Answer:
150
Step-by-step explanation:
360 - (130 + 80) = 150
Answer:
150
Step-by-step explanation:
130+80= 210
360-210= 150
so it is 150
The lines shown below are paralel. If the green line has a slope of 5, what is
the side of the red line?
Answer:
B
Step-by-step explanation:
Parallel lines have equal slopes, thus
slope of red line = slope of green line = 5 → B
If y − 4 = 2x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? Which order pair is it? {(2, 1), (4, 2), (6, 3)} {(1, 2), (2, 4), (3, 6)} {(4, 0), (6, 1), (8, 2)} {(0, 4), (1, 6), (2, 8)}
Answer:
the fourth set
Step-by-step explanation:
if you plug this equation into desmos and look at the x-values, you will see that the fourth set is the only one with points that make this equation true.
Answer:
D
Step-by-step explanation:
What is the solution to the equation x2 = 16?
Answer:
+4, -4
Step-by-step explanation:
[tex]x^{2} =16\\\sqrt{x^{2} }=\sqrt{16}\\x=4/ x=-4[/tex]
HELP ASAP NEED HELPPP
Which description matches the transformations y = cosx undergoes to
produce y = -3cos(x)+1?
A. Horizontal shift left 3 units, then vertical shift up by 1 unit
B. Horizontal compression by factor 3, vertical shift by 1 unit up, then a reflection across the x-axis
C. Vertical stretch by factor 3, reflection across the x-axis, then a
vertical shift up 1 unit
D. Reflection across the y-axis, vertical shift up by 1 unit, horizontal shift right by 3 units
Answer:
C.
Step-by-step explanation:
The parent function is y = cos(x).
When we have y = cos(x) + 1, this tells us that the graph has been shifted up by 1.
When we have y = -cos(x), this tells us that the graph has been reflected across the x-axis.
When we have y = 3cos(x), this tells us that the graph has been vertically stretched by a factor of 3.
All together, the answer is C.
Notes:
y = 3cos(x) would be a vertical stretch, while y = cos(3x) would be a horizontal compression.
y = -cos(x) is a reflection across the x-axis, while y = cos(-x) would be a reflection across the y-axis.
The radius of a circle is given as 10cm subject to an error of 0.2cm. the error in the area of the circle is?
Answer:
12.56 [tex]cm^2[/tex] is the error in area of circle.
Step-by-step explanation:
Given that:
Radius of the circle, r = 10 cm
Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm
To find:
The error in area of circle = ?
Solution:
First of all, let us have a look at the percentage error in measurement of radius:
[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]
Now, we know that Area of a circle is given as:
[tex]A = \pi r^2[/tex]
[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]
Area according to r = 10
[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]
Now, error in area = 4% of 314 [tex]cm^2[/tex]
[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]
So, the answer is:
12.56 [tex]cm^2[/tex] is the error in area of circle.
simplify the expression (2-5 root 6) times 3 root 2
Answer:
6(√2 - 5√3).
Step-by-step explanation:
3√2 ( 2 - 5 √6)
= 6√2 - 15√12
= 6√2 - 15√4√3
= 6√2 - 30√3
= 6(√2 - 5√3)
PLS EXPLAINIIf y = 16x, which table shows the values of y for different values of x?
x 0 2 4
y 0 18 20
x 0 2 4
y 0 8 4
x 0 2 4
y 0 32 64
x 0 2 4
y 0 16 32
Answer:
Step-by-step explanation:
I think it's B but I'm not 100% sure
I WILL NAME THEE BRAINLIEST!! (: PLZZZZZ HELP ASAPPPPP Solve for the unknown. Check your answer by substituting it in the original equation.
-A - 22 = -2A - 30 solve and check
Y - 12 = 2Y - 4 solve and check
Solve. Convert improper fractions to mixed numbers. Simplify your answers if possible. 1/4 x 4/5=
7/10 x 1/2=
3/4 x 9/10=
Step-by-step explanation:
1. -A-22=-2A-30
= -A+2A=-30+22
=A= -8
2. Y-12=2Y-4
=Y-2y=-4+12
-Y= +8
or Y = -8
1/4×4/5
4 cancels 4 which gives=1/5
7/10×1/2
= 7/20
3/4×9/10= 27/40
Simplify the polynomial (7m+5)^2
Answer:
[tex]49 {m}^{2} + 70m + 25 [/tex]Solution,
( 7m + 5)^2
Using the formula:
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
and expand the expression
= ( 7m)^2 + 2 • 7m • 5 + (5)^2
Evaluate the power
= 49m^2 + 2 • 7m • 5 + 25
Calculate the product
= 49m^2 + 70m + 25
Hope this helps...
Good luck on your assignment..
The triangles shown below must be congruent.
A. True
B. False
Answer:
true
Step-by-step explanation:
51-8; and v=
V5i+j. Round to the nearest tenth of a degree.
Find the angle between u=
65.90
c.
a.
90.40
33.30
b. 98.50
d.
Please select the best answer from the choices provided
Answer:
b. 98.5°
Step-by-step explanation:
There are a number of ways to do this. Perhaps one of the simplest is to compute the angle associated with each vector, and find the difference.
We can compute that angle as ...
vector angle = arctan((coefficient of j)/(coefficient of i))
where the arctangent is computed in the appropriate quadrant according to the signs of i and j.
∠u = arctan(-8/√5) ≈ -74.38°
∠v = arctan(1/√5) ≈ 24.09°
The angle between these vectors is then ...
24.09° -(-74.38°) = 98.47° ≈ 98.5°