Answer:
30 min
Step-by-step explanation:
The tank can be filled in 15 min, this means that in one min, 1/15 of the tank can be filled.
The tank can be emptied in 10 min, this means that in one min, 1/10 of the tank can be emptied.
the outflow rate - the inflow rate = rate of emptying the tank
1/10 - 1/15 = 1/x
where x is the time it will take to empty the tank
solving, we'll have
1/30 = 1/x
the reciprocal of the equation gives
x = 30 min
help -8(9n-10) -20 a. 90n+54 b. -72n+60 c. -17n – 80 d. -160n
Answer:
1) -8(9n-10) - 20
-72n + 80 - 20
-7n + 60
Can't factor
2) 90n+54
18(5n+3)
3) -72n+60
-12(6n-5)
4) -17n - 80
Can't factor
5) -160n
Can't factor
Answer:
B. -72n+60
Step-by-step explanation:
We are given the expression:
-8 (9n-10) -20
We want to simplify the expression. First, distribute the -8.
Multiply each term inside the parentheses by -8.
(-8 * 9n) + (-8*-10) -20
-72n + (-8 * -10) -20
-72n + 80 -20
Next, combine like terms. Currently, we have two constants (terms without variables) that can be combined.
Subtract 20 from 80.
-72n + (80-20)
-72n + 60
The expression: -8(9n-10)-20, simplified is -72n+60. Therefore, the correct answer is B. -72n+60
9) The area of a rectangle is given by the trinomial x? - 2x - 35. What are
the possible dimensions of the rectangle? Hint: Find the length and the
width by factoring the area.
Answer:
Step-by-step explanation:
x² - 2x - 35
(x - 7)(x + 5)
x - 7 = 0 ; x + 5 = -5
x = 7, -5
10 points :) Thanks sm! (attached below)
Answer:
Average : 10,724.2857 miles
Step-by-step explanation:
To determine the mean we can simple find the average, adding all the miles the car has traveled, over the number of days. See working below -
[tex]\frac{10150+10211+10424+10769+10884+11155+11477}{7}[/tex]
Adding the numerator values : [tex]10150+10211+10424+10769+10884+11155+11477=75070[/tex]
[tex]\frac{75070}{7} = 10724.28571\dots[/tex]
Ling traveled an average of about 10,724.2857 miles.
1. James ran 3 kilometers after school. How many meters did james run? 2. Find the volume of the cube 3 1/2
Answer:
3000m
42.875 m/cm/mm/km/in/miles³ etc. (don't know what measurement you need).
Step-by-step explanation:
1 km = 1000m
Volume of a cube is V=a³ thus 3.5³ = 42.875³
Of the 30 girls who tried out for the basketball team at Prescott Junior High, 12 were selected. Of the 40 boys who tried out, 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls? How do you know?
Answer: Yes. They are thesame
Step-by-step explanation:
Of the 30 girls who tried out for the basketball team at Prescott Junior High, 12 were selected. In this scenario the ratio will be:
= 12/30
= 2/5
= 2:5
Of the 40 boys who tried out, 16 were selected. In this scenario, the ratio will be:
= 16/40
= 2/5
= 2:5
The ratio for both are thesame as we got 2:5 for both.
Find the total surface area. A. 2,016 km² B. 6,156 km² C. 1,368 km² D. 165 km²
Answer:
[tex]\boxed{A. 2,016 km^2}[/tex]
Step-by-step explanation:
Hey there!
TSA is calculated using,
TSA = 2wl + 2lh + 2hw
Plug in the given info.
w = 18
l = 18
h = 19
TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)
TSA = 648 + 684 + 684
TSA = 2,016km²
Hope this helps :)
The total surface area of the cuboid is km². Therefore, option A is the correct answer.
The given dimensions are length=19 km, width=18 km and height=18 km.
We need to find the total surface area of the given cuboid.
What is the formula to find the total surface area?Total surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, TSA=2lw+2lh+2hw, to find the surface area.
Now, TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)
TSA = 648 + 684 + 684=2016 km²
The total surface area of the cuboid is km². Therefore, option A is the correct answer.
To learn more about the total surface area of the cuboid visit:
https://brainly.com/question/27537575.
#SPJ5
What slope is parallel to m=3/4
Answer:
[tex]\large \boxed{{m= \frac{3}{4} }}[/tex]
Step-by-step explanation:
Parralel lines have the same slope.
The slope will be [tex]\frac{3}{4}[/tex]
2(M+7)+5m-6
Umm I need help
Answer:
7m+8
Step-by-step explanation:
distributive prop then pemdas
At a certain hospital, the probability of a child being born female is 0.51. If 80 babies are born on the a certain day, the probability that more than half of these babies are female is closest to? a. 0.61, b. 0.70, c. 0.39, d. 0.47, 0.53 (I will award you the brainiest)
Answer :
0.53
Step-by-step explanation:
Given the following :
Probability of female = probability of success on a single trial = 0.51
Number of babies = 80
Probability that more than half of the babies are female : p(X >80/2) = P(X > 40)
The problem can be solved using the binomial probability function :
P(X > 40) = [ p(X= 41) + p(X= 42) +.... +p(X= 80)]
In other to save computation time, we can use the binomial probability calculator
Hence ; P(X > 40) = 0.527 = 0.53
John bought three thermos flask at a total of st 1080 he later sold at 400 each what was his percentage
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf {11.11\%}}}}[/tex]
Step-by-step explanation:
Given,
Cost price of three thermos flask = 1080
Selling price of each thermos flask = 400
Finding the selling price of three thermos flask
Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )
Here, the selling price is greater than cost price.
So, there is profit.
And we know that,
[tex] \sf{profit = sp \: - \: cp}[/tex]
⇒[tex] \sf{1200 - 1080}[/tex]
⇒[tex] \sf{120}[/tex]
Profit amount = 120
Finding the profit percentage
[tex] \sf{profit\% \: = \frac{profit}{cp} \times 100 \%}[/tex]
⇒[tex] \sf{ \frac{120}{1080 } \times 100\%} [/tex]
⇒[tex] \sf{11.11\%}[/tex]
Hope I helped!
Best regards!!
*PLEASE ANSWER, DIFFICULT QUESTION* What is the volume of this beach ball if its width is 24 inches? (Use 3.14)
Answer:
7234.56 in³
Step-by-step explanation:
4/3πr³
4/3 (3.14)(12)³
7234.56 in³
Answer:
7,234.56 cm^2
Step-by-step explanation:
We want to find the volume of the beach ball. The beach ball is in the shape of a sphere. The formula for the volume of a sphere is :
[tex]V=\frac{4}{3} \pi r^3[/tex]
We know the width, or diameter of the sphere is 24 cm. We need to find the radius. The radius is half the diameter.
r= d/2
r= 24 cm/2
r= 12 cm
The radius is 12 cm, and we can substitute it into the formula.
[tex]V=\frac{4}{3} \pi (12 cm) ^3[/tex]
First, evaluate the exponent.
(12 cm)³= 12 cm * 12cm * 12 cm= 144 cm² * 12 cm = 1728 cm³
[tex]V=\frac{4}{3} \pi * 1728 cm^3[/tex]
Substitute 3.14 in for pi.
[tex]V=\frac{4}{3} * 3.14 * 1728 cm^3[/tex]
Multiply all three numbers together.
[tex]V= 4.18666666 * 1728 cm^3[/tex]
[tex]V= 7234.55999 cm^3[/tex]
Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 5 to a 6 in the hundredth place.
[tex]V= 7234.56 cm^3[/tex]
The volume of the beach ball is 7,234.56 cubic centimeters and choice 3 is correct.
how is 0.004 the same and different from 0.444
Answer:
Step-by-step explanation:
0.004 and 0.444
both have 4 in the thousandth place, both are in thousandth place
different: 0.444 is greater than 0.004
when divide by 1000:
444/1000 is greater than 4/1000
if convert to percentage :
0.444 is 44.4%
0.004 is 0.4%
25x^2- 100
What’s the factor
Fiona is going to jog once around the block she lives on. The block is rectangular, and it is yards long and feet wide. How far will Fiona jog (in feet)?
Fiona is going to jog once around the block she lives on. The block is rectangular, and it is 180 yards long and 200 feet wide. How far will Fiona jog (in feet)?
Answer:
Fiona will jog 1480 feet once around the block she lives on.
Step-by-step explanation:
From the information given:
Length of the rectangular block = 180 yards
Breadth of the rectangular block = 200 feet
The block have a rectangular shape and we are to determine how far will Fiona jog (in feet).
Converting yards to feet
1 yard = 3 feet
∴
180 yards = (180 × 3) feet
= 540 feet
Calculating the perimeter of the rectangle will determine how far Fiona will jog.
Perimeter of a rectangular block = 2 (length + breadth)
Perimeter of a rectangular block = 2(540 + 200) feet
Perimeter of a rectangular block = 2(740) feet
Perimeter of a rectangular block = 1480 feet
∴
Fiona will jog 1480 feet once around the block she lives on.
Q5. A farm raises cows and chickens. The farmer has a total of 42 animals. One day he counts the legs of all of his animals and realizes he has a total of 114.
a) How many cows does the farmer have?
b) How many chickens?
c) What is the importance of farmer?
Answer:
let cow=x and chickens =y
cows have 4 legs, 4x. chickens have 2 legs, 2y
Answer:
a= 15 cows b= 27 chickens c= none, he is not an animal.
Step-by-step explanation:
cows have four legs
chickens have two
15 cows = 60 legs
27 chickens = 54 legs
60+54 = 114
please make me the brainliest if you find this helpful :)
Zara filled up her car with 15 gallons of gas. If Zara paid $33.00, what was the price per gallon of gas?
Answer:
$2.20 per gallon.
Step-by-step explanation:
That is 33/15 = $2.20 per gallon.
Answer:
Step-by-step explanation:
Price per gallon = Total price of 15 gallons ÷ 15 gallons
= 33 ÷ 15
= $ 2.20
i can’t find the slope
Answer:
slope = for every +3x there is a gain of +6y. so slope is 2.
Step-by-step explanation:
What is the slope form equation?
Answer:
y= mx +c
Step-by-step explanation:
The point- slope form of an equation is
y= mx +c, where m is the gradient and c is the y-intercept.
You can find the value of m by using the gradient formula.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Then substitute the value of m found into the equation. Next substitute a pair of coordinates the line passes through to find the value of c. Substitute the value of c and you will obtain the point-slope form equation of the line.
Here's an example.
Point-slope form of an equation passing through (1, 2) and (5, 6).
① Finding gradient, m.
[tex]m = \frac{6 - 2}{5 - 1} \\ m = \frac{4}{4} \\ m = 1[/tex]
② Substitute value of m into equation.
y= 1x +c
y= x +c
③ Substitute a pair of coordinates.
when x=1, y=2,
2= 1 +c
c= 2 -1
c= 1
Thus the equation of the line is y= x +1.
You may already know that "y+MX+b" form called the slope-intercept form of the equation of a line. It is the same equation in a different form. The 'b' value called the y intercept is where the line crosses the y- axis
Step-by-step explanation:
easy 10 points and brainliest :)
Answer:
Quadrant IV
Step-by-step explanation:
If x > 0 the we are in quadrants 1 or 4
If Y < 0 we are in quadrants 3 or 4
Since both are true, we are in quadrant 4
Quadrant 2
x axis is left to right
y axis is up and down
4b+9b simplified version
Answer:
13b
Step-by-step explanation:
Add 4b and 9b together because they are like terms,
so 4b + 9b = 13b
Answer:
13b
Step-by-step explanation:
4b+9b
Combine like terms
13b
The length of a rectangle is 6 inches more than the width. The perimeter of the rectangle can
be no more than 48 inches. What is the maximum length?
Answer:
15 inches
Step-by-step explanation:
Hello!
To find the perimeter of a rectangle we have to add all the sides
l + l + w + w = p
We know the length is 6 inches more than the width
l = w + 6
We can put w + 6 for l
w + 6 + w + 6 + w + w = p
We can simplify this
4w + 12 = p
The perimeter is no more than 48
4w + 12 = 48
Subtract 12 from both sides
4w = 36
Divide both sides by 4
w = 9
Now we can put 9 in for w in the equation to find the length
l = 9 + 6
l = 15
The answer is 15 inches
Hope this helps!
While traveling in England, Sonia noticed that the price of gas was 1.4 pints per liter. She wondered how that compares to the price of gas in Atlanta, where she lives. On that day, the exchange rate was £1= $1.56. Set up and evaluate a conversion expression to find the equivalent price in dollars per gallon. Use the conversion factor 1L=0.26 gal.
Answer:
$8.40
Step-by-step explanation:
Price in England = 1.4 pounds per Litre
Current exchange rate : 1 pound = 1.65 dollars
1 Litre = 0.26 gallons
If 1 Litre = 0.26 gallons
1 gallon = (1 / 0.26) litres = 3.8461538 litres
Therefore, cost per gallon in England = (1.4 × 3.8461538)
= 5.3846153 pounds
Then ;
If 1 pound = 1.56 dollars
Then cost per gallon in dollars equals
5.3846153 * 1.56 = 8.399999868 dollars
$8.40
PLEASE HELP FAST
Which of the following is a quadratic equation written in standard form?
5x−15=0
7x2−15=32x
8x2−10x=0
6x2=14−17x
Answer:
8x^2 - 10x = 0
Step-by-step explanation:
Standard format of a quadratic equation :
ax^2 + bx + c = 0
Evaluate 6^2 ÷ (3 + 9).
Answer:
the answer is three.
Step-by-step explanation:
first, simplify the exponent, which would be 36, then solve the 3+9, which is 12, then that leaves you with 36/12, and 12 goes into 36 3 times, so three is your answer
Answer:
The answer is 3
Step-by-step explanation:
To evaluate, we must do the order of operations. PEMDAS:
P=Parenthesis
E=Exponents and Radicals
M=Multiply
D=Divide
A=Add
S=Subtract
Because 6^2 ÷ (3 + 9), we must do the parenthesis which is add then simplify the exponent and lastly divide. So the equation will be:
6^2 ÷ (3 + 9)
= 6^2 ÷ 12
= 36 ÷ 12
= 3
I hope this helps! I'm sorry if it's wrong or complicated.
I need help Pls help with both
Answer:
the first one is 84
Step-by-step explanation:
subtract 145-61 then you get 84for the missing angle.
Answer:
1. 84, 2. 7.31
Step-by-step explanation:
1. 145-61=84
2. 16x+4-3x+11=110
13x+15=110
13x=95
x=7.31
Find the value of 5 times 2^3
Answer:
40
Step-by-step explanation:
5 times 2^3=
5 times 8=
40
Triangle has a leg that Triangle has a leg that measures 20 units and a hyptenuse that measures 25 units what is the length of the third side
Answer:
15Step-by-step explanation:
Hypotenuse = 25
Opposite=20
Adjacent =?
Use Pythagoras Theorem :
[tex] {hypotenuse}^{2} = {opposite}^{2} + {adjacent}^{2} [/tex]
Input values
[tex] {25}^{2} = {20}^{2} + {x}^{2} \\ 625 = 400 + {x}^{2} \\ 625 - 400 = {x}^{2} \\ 225 = {x}^{2} [/tex]
Square root both sides
[tex] \sqrt{225} = \sqrt{ {x}^{2} } \\ 15 = x \\ x = 15[/tex]
5x when x=7 ......... NEED HELP
Answer:
35
Step-by-step explanation:
5 x 7 = 35
Answer:
35
Step-by-step explanation:
The equation is 5x. When the value of x is 7, you multiply 5*x or 5*7. This gives you 35.
4. Fatore as expressões. a) 4x4y2 –6x3y3 +8x2y4 = b) 18ab3c² +27a3b4c3 -9a2b5c4 -45a2b3c2 = c) a2+3ab-2ac-6bc= d) x3–3x2y2 +6y3 – 2xy = e) x2 +z+x3y+xyz=zx2 -z2 = f) a4b6-9c2 = g) 9a4-b4 = h) 25x6 + 10x3y+y2 = i) 49x4 +14x2 +1= j) 20a2b2 – 2a4 – 50b4 =
Answer:
don't ask many questions at 1time
PLEASE HELP! Create a table of points from the equation f(x)=3x^2-8x+2. (I'll add a picture of the tables)
===============================================
Explanation:
If we replace x with 0, then we get...
f(x) = 3x^2-8x+2
f(0) = 3(0)^2 - 8(0) + 2
f(0) = 3(0) - 8(0) + 2
f(0) = 0 - 0 + 2
f(0) = 2
Showing that the input x = 0 leads to the output y = f(x) = 2
The answer is between choice A and choice D because of this. Something like choice B is eliminated because this table shows x = 0 leading to y = -3 which is not correct.
-----------
Let's plug in x = 1
f(x) = 3x^2-8x+2
f(1) = 3(1)^2 - 8(1) + 2
f(1) = 3(1) - 8(1) + 2
f(1) = 3 - 8 + 2
f(1) = -5 + 2
f(1) = -3
So x = 1 leads to y = -3. We can rule out choice D and confirm it is choice A.
We don't need to try other x values since we have the answer, but I recommend practicing with other x values to help confirm that the first table is the answer.