Answer:
7 2/24
Step-by-step explanation:
We can start by making the denominators the same (the bottom number)
1 1/4+5 5/6
1 6/24+ 5 20/24=7 2/24
Answer:
so what you would want to do is get your fraction into improper fractions and to do that you multiply the whole number by the denominator and add it to your numerator, once you do that you get 5/4, and 35/6, now we want to get common denominators, so we multiply 5/4, by 6/6, and 35/6 by 4/4 which would get us 30/24 and 140/24 then we add them and get 170/24 and then simplify, which gets you 85/12 and then put it into a mixed number which is 7 1/12
Step-by-step explanation:
There are 14 cans of soup in a pantry, 7 of which contain vegetable beef soup. What is the probability that a randomly selected can will be vegetable beef soup? Write your answer as a fraction or whole number.
Answer:
1/2
Step-by-step explanation:
There is a 7 in 14 chance of randomly selecting a can of vegetable beef soup. In fraction form, that would be a 7/14 chance. Simplifying the fraction would bring us to 1/2, our final answer.
The given cylindrical container is used to fill the rectangular prism fish tank with water.
What is the least number of fully cylindrical containers needed to completely fill the fish tank?
The number of full cylindrical containers needed to completely fill the fish tank is 30.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
The volume of a cylinder:
[tex]\rm V = \pi (6/2)^2 (8)[/tex]
V = 72π cubic inches
The volume of cube v = 24×24×12 = 6912 cubic inches
A number of full cylindrical containers are needed to completely fill the fish tank:
= 6912/72π
= 30.55 ≈ 30
Thus, the number of full cylindrical containers needed to completely fill the fish tank is 30.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ2
Figure 1 is dilated to get Figure 2.
What is the scale factor?
Answer:
2/3
Step-by-step explanation:
6/9 in simplest form is 2/3. That's the scale factor :)
you deposit $1050 into an account that pays 7.25% interest per year. find the amount after six year given the following:
a) compounded semiannually b) compounded monthly
What is the solution to the inequality? x/2 > 7
Answer: x > 14
m a th way can help with any similar questions like this !!
Find the sum of (x + 5), (–4x –2), and (2x – 1).
PLEASE HELP!!!
Answer:
-x-2
Step-by-step explanation:
x+5 + -4x -2 + 2x -1 = -x -2
Answer:
-x + 2
Step-by-step explanation:
(x + 5), (-4x -2), and (2x -1)
x + (-4x) + 2x) + (5 + -2 + -1)
= -x + 2
A messenger earns 2640 per year and pays tax at the rate of 10k On a naira how much tax does he pay in the year
Answer:
264 naira
Step-by-step explanation:
Given that:
Amount earned per year = 2460
Rate of interest paid : 10k per naira earned
Tax paid by messenger per year :
100k = 1 naira
10k = (100/10) = 0.1 naira
Hence 0.1 naira is paid as tax on every naira earned
Total amount paid on 2640 Naira :
Amount paid per naira * total amount earned
(0.1 * 2640) = 264 naira
PLS HELPPPPPP!!!!!!!!!!
Answer:
x = 30
ABC = 90
ACB = 30
Step-by-step explanation:
We know that if we add the 3 angles of a triangle together, it will come out to be 180 degrees, so..
60 + x + 3x = 180 subtract 60 from both sides and simplify
4x = 120 divide both sides by 4
x = 30
ABC = 3x
ABC = 3(30)
ABC = 90
What are the slope and the y-intercept of the linear function that is represented by the equation y - 9x-27?
Answer:
the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 27? The slope is –2, and the y-intercept is 9.
Step-by-step explanation:
hope this helps
−8
≥ -5 ???????????????????????????
Answer:
If your asking if it’s true or false then it is false
Step-by-step explanation:
If you want to make it a true statement then it would be -8<-5
I need an answer! NOT A LINK!!! ASAP!
Answer:
im pretty sure its 14
Step-by-step explanation:
Giving brainlist to whoever answers
Answer:
B I am 100% sure
Step-by-step explanation:
Ayden rents skates at the skate park for
$1.25. He also spends $1.75 on snacks
and a drink each time he goes. If Ayden
has $20, which expression shows how
much money Ayden will have left over if
he visits the skate park a times?
A $20 + [($1.25 + $1.75) X a]
B $20 + ($1.25 + $1.75 X a)
c $20 - [($125 + $1.75) X aj
D $20- ($1.25 + $1.75 X a)
Answer:
C
Step-by-step explanation:
What are the solutions to the equation 3^2 + 6 − 31 = −7? & Explain how you determined your answer
Answer:
The left side
−
16
does not equal to the right side
−
7
, which means that the given statement is false.
False
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
9+6-31=-7 -16=-7
i ned help with this asap. im not well with percentages
Answer:
160
Step-by-step explanation:
Add up all the numbers
48 + 67 + 16 + 29 = 160
Answer: D. 160
Step-by-step explanation:
What is the equation of a circle with center (−3, 0) and radius 20?
Answer:
(x + 3)^2 + y^2 = 20^2
Step-by-step explanation:
If the center is (-3, 0), then the standard equation of a circle, (x - h)^2 + (y - k)^2 = r^2 becomes (x + 3)^2 + (y - 0)^2 = 20^2, or
(x + 3)^2 + y^2 = 20^2
Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to calculate the exact length of the radius and the perimeter of regular hexagon ABCDEF. In your final answer, include your calculations.
Answer:
Part A
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the given values we get;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
R = 12 inches
The radius of the circumscribing circle is 12 inches
Part B
The length of each side of the hexagon, 's', is;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
s = 12 inches
The perimeter, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon is 72 inches
Step-by-step explanation:
The given parameters of the regular hexagon are;
The length of the apothem of the regular hexagon, a = 6·√3 inches
The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;
[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]
Where;
n = The number of sides of the regular polygon = 6 for a hexagon
'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;
Part A
Therefore, we have;
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the values gives;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
The circumradius, R = 12 inches
Part B
The length of each side of the hexagon, 's', is given as follows;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore, we get;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
The length of each side of the hexagon, s = 12 inches
The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon = 72 inches
Answer: radius = 12, perimeter = 72
Step-by-step explanation:
We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.
so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6
long leg = 6√3
long leg = short leg √3
short leg = 6
hypotenuse (radius) = 2(short leg)
hypotenuse (radius) = 2(6)
hypotenuse (radius) = 12
The radius of hexagon ABCDEF = 12 inches
Perimeter = r (sides)
Perimeter = r (6)
Perimeter = 12 (6)
Perimeter = 72
The perimeter of hexagon ABCDEF = 72 inches
What number makes the equation true? 35 + = 42
Answer:
7
Step-by-step explanation:
42 - 35 = 7
Solve for the surface area
Answer:
210.7
Step-by-step explanation:
7x8 (and multiply that by 3 for the 3 sides)
7x6.1 (times 2 for the 2 sides and divided by 2 because it is a triangle)
Which function g(x) or f(x) has the equation y=x^2-4
Answer:
f x
Step-by-step explanation:
the equqtion's y intercept is -4 , and f (x) has that intercept
Answer:
f(x)
Step-by-step explanation:
The equation says -4 meaning that it moved down 4 spaces on the y-axis.
Preform the indicated operation. Be sure the answer is reduced.
Answer:
D. [tex]\frac{2x+1}{x-8}[/tex]
Step-by-step explanation:
[tex]\frac{x+1}{x-8} - \frac{x}{8-x} = \\\\\frac{x+1 + x}{x-8} = \\\\\frac{x+1}{x-8} +\frac{x}{x-8} =\\\\\frac{x+1+x}{x-8} =\\\\\frac{2x+1}{x-8}[/tex]
Correct choice is D
pls help pls help!!!!! ok ty
Answer:
D
Step-by-step explanation:
Indepedent values basically means the x-values
Also sorry for last answer
Help me plz pretty please
The time required to drive a fixed distance varies inversely as the speed. It takes 40 hr at a speed of 10 km/h to drive a fixed distance. How long will it take to drive the same distance at a speed of 8 km/h?
Answer:
50 hours
Step-by-step explanation:
Given data
Time=40hr
Speed=10km/hr
Let us find the fixed distance first
Speed= distance/Time
10= distance/40
distance= 10*40
distance= 400miles
Now our speed= 8km/h
hence the time is
8= 400/time
time= 400/8
time=50 hours
Hence the time is 50 hours
Help me pls
put them from least to greatest
Answer: -7/10, -0.35, 1/5, 0.95
Step-by-step explanation:
-7/10 = -.7
1/5 = 0.2
Answer:
From least to greatest, the correct order is [tex]-\frac{7}{10}[/tex], -0.35, [tex]\frac{1}{5}[/tex], and 0.95.
Step-by-step explanation:
Since all negative numbers are smaller than positive, you immediately know that [tex]-\frac{7}{10}[/tex] and -0.35 are smaller than [tex]\frac{1}{5}[/tex] and 0.95. The greater the absolute value of a negative number is, the smaller that number is. Because [tex]-\frac{7}{10}[/tex] is -0.7, which has a greater absolute value than -0.35, this means [tex]-\frac{7}{10}[/tex] is the smallest number, and -0.35 is the second smallest number. Since [tex]\frac{1}{5}[/tex] is 0.2 which is smaller than 0.95, the correct order from least to greatest would be [tex]-\frac{7}{10}[/tex], -0.35, [tex]\frac{1}{5}[/tex], and 0.95.
The first four terms of an arithmetic sequence are shown below.
1, 5, 9, 13,......
(a) Write down the nth term of the sequence (general formula).
(b) Calculate the 100th term of the sequence.
(c) Find the sum of the first 100 terms of the sequence.
Answer:
a) n = 4(n-1)+1
b) 397
c) 19900
Step-by-step explanation:
Find P(A') given that P(A) = 0.75
Answer:
I'm not sure what you're asking if P (A) = 0.75 P(A) is equal to 0.75
the volume of a sphere is 4851 cubic cm find its diameter
Answer:
The diameter is 21 cm
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³, or (in terms of the diameter) V = (4/3)π(d/2)³. This simplifies to
4πd³ πd³
V = ----------- = -----------
3·8 6
Now equate V = (πd³/6) to 4851 cm³. We must first solve this for d³ and then take the cube root of the result:
πd³ = 4851(6) = 29106.
Dividing this result by π yields 9264.7,
and taking the cube root of this is 21. The diameter is 21 cm
please send help my way please!!
Answer:
14
Step-by-step explanation:
Answer:
area = 153.94
circumfrence = 43.98
Step-by-step explanation:
A=πr2=π·72≈153.93804
C=2πr=2·π·7≈43.9823
Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) - C(x). Which expression represents P(x), if R(x) = 2x^4 – 3x^3 + 2x – 1 and C(x) = x^4 – x^2 + 2x + 3?
Answer:
x^4-3x^3+x^2-4
Step-by-step explanation:
Given the following functions
R(x) = 2x^4 – 3x^3 + 2x – 1 and
C(x) = x^4 – x^2 + 2x + 3
We are to find the profit function P(x)
P(x) = R(x) - C(x)
P(x) = 2x^4 – 3x^3 + 2x – 1 - ( x^4 – x^2 + 2x + 3)
P(x) = 2x^4 – 3x^3 + 2x – 1 - x^4 + x^2 - 2x - 3
Collect the like terms
P(x) = 2x^4-x^4-3x^3+x^2+2x-2x-1-3
P(x) = x^4-3x^3+x^2+0-4
P(x) = x^4-3x^3+x^2-4
Hence the required profit function P(x) is x^4-3x^3+x^2-4
Answer:
x^4-3x^3+x^2-4
Step-by-step explanation: