9514 1404 393
Answer:
499 1/3 miles
Step-by-step explanation:
Let m represent the number of miles the car can travel on 14 gallons. We assume distance is proportional to gas usage, so ...
m/14 = 107/3
Multiplying by 14, we have ...
m = 14(107/3) = 1498/3 = 499 1/3
The car can travel 499 1/3 miles on a full tank of gas.
2/5 ÷ 1/6 I need the answer step by step the reciprocal kfc and da answer
[tex]\frac{12}{5}[/tex] or [tex]2 \frac{2}{5\\}[/tex]
Step-by-step explanation:You follow KCF (Keep Change Flip)Keep [tex]\frac{2}{5}[/tex] the same
change the division sign to multiplication [tex]\frac{2}{5} \\[/tex] × [tex]\frac{1}{6\\}[/tex]
Flip [tex]\frac{1}{6}[/tex] so that the denominator is on top and the numerator is on the bottom like this [tex]\frac{6}{1\\}[/tex]
After doing those steps your new equation will look like this- [tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex]
Multiplying[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex] Now all you have to do is multiply
1st- multiply 2x6
2nd- multiply 5x1
[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1\\\\}[/tex] = [tex]\frac{12}{5}[/tex]
So your answer is [tex]\frac{12}{5\\}[/tex] or [tex]2 \frac{2}{5}[/tex]
Hope my explanation helps you out!
What is the radius of a sphere with a volume of 3026 cm ^3, to the nearest tenth of a centimeter?
Answer:
[tex]r=9.0\:\mathrm{cm}[/tex]
Step-by-step explanation:
The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:
[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].
Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.
What is volume?Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).
The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.
For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
We can rearrange this formula to solve for r:
r = [tex](3V/4\pi)^{(1/3)[/tex]
Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:
r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm
Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.
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Please help it’s urgent !!
Answer:
2 is the correct answer you know it also
The value of computer decreases with its age until it is worth nothing a computer that was purchases new for 0 years is worth 2220 1540 after 6 years problem whats the value after 8 years and what is the linear function V(x)
Answer:
[tex]V(x) = -\frac{340}{3}x +2220[/tex]
[tex]V(8) = 1313.3[/tex]
Step-by-step explanation:
Given
Let x represent years and V represents the value.
So, we have:
[tex](x_1,v_1) = (0,2220)[/tex]
[tex](x_2,v_2) = (6,1540)[/tex]
Solving (a): The linear function
First, we calculate the slope (m)
[tex]m = \frac{v_2 - v_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{1540-2220}{6-0}[/tex]
[tex]m = \frac{-680}{6}[/tex]
[tex]m = -\frac{340}{3}[/tex]
The linear function is calculated using:
[tex]v - v_2 = m(x - x_2)[/tex]
Where:
[tex](x_2,v_2) = (6,1540)[/tex]
[tex]m = -\frac{340}{3}[/tex]
So, we have:
[tex]v - 1540 = -\frac{340}{3}(x - 6)[/tex]
Open bracket
[tex]v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6[/tex]
[tex]v - 1540 = -\frac{340}{3}x +680[/tex]
Make v the subject
[tex]v = -\frac{340}{3}x +680+1540[/tex]
[tex]v = -\frac{340}{3}x +2220[/tex]
So, the function is:
[tex]V(x) = -\frac{340}{3}x +2220[/tex]
Solving (b): When x = 8
Substitute 8 for x in [tex]V(x) = -\frac{340}{3}x +2220[/tex]
[tex]V(8) = -\frac{340}{3}*8 +2220[/tex]
[tex]V(8) = -\frac{340*8}{3} +2220[/tex]
[tex]V(8) = -\frac{2720}{3} +2220[/tex]
Take LCM
[tex]V(8) = \frac{-2720+2220*3}{3}[/tex]
[tex]V(8) = \frac{-2720+6660}{3}[/tex]
[tex]V(8) = \frac{3940}{3}[/tex]
[tex]V(8) = 1313.3[/tex]
Hence, its value after 8 years is 1313.3
ABC is a straight angle.
Find measure of ABX and measure of CBX
16/19 as a decimal rounded to the nearest tenth
Answer:
0.8
Step-by-step explanation:
that's the decimal.
Answer:
0.8
Step-by-step explanation:
need answer fast!
Find the product of ( 2x^2 − 4x + 3 ) ( 3x + 6 ) using the box method shown below. What will the monomial be in the box marked with a B?
Select one:
a. - 12x 2
b. - x 2
c. - x
d. - 12x
Answer:
[tex]-12x^2[/tex]
Step-by-step explanation:
Think of the box method as completing a chart or a multiplication table.
We can see that box B is in the second column of the first row. The second column is labeled by -4x. The first row is labeled by 3x. So, in order to fill out box B, you have to multiply -4x and 3x together.
To do so, multiply the terms' coefficients (the numbers in front of the variable). -4 times 3 makes -12. Then, multiply the variables - just keep the variable and add their exponents. x and x both have exponents of one, which makes [tex]x^1^+^1[/tex], resulting in [tex]x^2[/tex]. Put them together and the answer would be [tex]-12x^2[/tex].
Subject:Mathematics
Please help a bruddah out its 8 pm and I'm grinding on schoolwork.
what is the area of xyz
Evaluate the expression if p = 1, r= -7, and s = -2.
-3p-2r
6+4s
PLEASE HURRY!!! THANK YOU
Answer:
-5 1/2
The first one is right.
Step-by-step explanation:
k12 right ?
The solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
WE have been given an expression as
-3p-2r / 6+4s
We have to substitute the value p = 1, r= -7, and s = -2 to find the solution.
Plug the values;
-3p-2r / 6+4s
-3 (1) -2 (-7) / 6+4(-2)
-3 + 14 / 6 - 8
11 / -2
Hence, the solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2
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A museum recorded that it had 988 visitors in 4 hours. What is the unit rate in visitors per hour?
A.). 222
B.) 247
C.). 249
D.). 262
The number 54 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10
Answer:
6,9,2,4,10
Step-by-step explanation:
There are possible multiples that can be divisible by 54.
I NEED HELP ASAP
Write an equation in point-slope form with the given characteristics Passes through (1,8) and (-2,3)
Answer:
[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]
Step-by-step explanation:
1) Use the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], and the given points to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line must intersect, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line must also intersect:
[tex]\frac{(3)-(8)}{(-2)-(1)}[/tex]
= [tex]\frac{-5}{-3}[/tex]
= [tex]\frac{5}{3}[/tex]
2) Using the point-slope formula, [tex]y-y_1 = m (x - x_1)[/tex], use the slope you just calculated and substitute it for m. Choose any of the two points given (I chose (1,8)) and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. Don't worry, the equation of the line is the same no matter which point you choose (unless the question specifies which one you need to choose):
[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]
The hypotenuse of a right triangle is 25 cm, and the shorter leg is 15 cm. Find the length of the other leg.
a.12 √5 cm
b.✓ 10 cm
c.20 cm
Use the Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 15^2 = 25^2
a^2 + 225 = 625
a^2 = 400
a = 20
Answer: 20 cm
Hope this helps!!
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please help me !!!!
Flying against the wind , an airplane travels 3660 kilometers in 6 hours. flying with the wind , the same plane travels 3800 kilometers in 4 hours. what is the rate of the plane in still air and what is the rate of the wind?
Answer:
...
against the wind, an airplane travels 3640 km in 7 hours.
with the wind, the same plane travels 6000 km in 6hrs.
...
let speed of plane in still air be x mph
speed of wind be y mph.
..
t=d/r
..
against wind speed = x-y mph
with wond speed = x=y mph
...
3640/(x-y)=7
3640 = 7x-7y
/7
520=x-y.....................1
...
6000/x+y = 6
6000 = 6x+6y
/6
1000=x+y.....................2
...
Add (1) & (2)
2x=1520
/2
x=760 mph speed of plane in still air
...
plug value of x in 2
1000=760+y
100-760=y
240 = y
240 mph speed of wind
*. John pulled a black sock from his drawer. He has 5 black socks, 4 navy socks, and 6 brown socks left in the drawer. He picks another sock at random. What is the probability it matches the black one? A.1/6 C. 1/3 B. 1/5 D. 1/2
Answer:
C
Step-by-step explanation:
Which percentage is the same as 3.21
Answer:
321%
Step-by-step explanation:
hope I helped Kkkkkkkk
pls help and SHOW WORKINGS
It due ASAP
Answer:
Any real number strictly larger than 9 and strictly less than 21.
Step-by-step explanation:
By triangle inequality, the sum of the lengths of any two sides are greater than the length of the third side.
We therefore could set up three inequalities.
x+6>15, x+15>6, 15+6>x
Solving these, we get x>9, x>-9, x<21 i.e. 9 < x < 21.
Help help help help
Answer:
c. 12
Step-by-step explanation:
if the pentagons are similar they have a common factor.
the factor between 16 cm and 8 cm is 2, so 6*2 is 12.
. _ .
................
Hey there!
I believe the answer to your question is 24.
If it's being reduced by 1/3, you are being left with 2/3, so we can take 2/3 of 9 and you get 6. Perimeter is adding up all the side lengths. Thus, we do 6 + 6 + 6 + 6, and that is 24.
Sorry for any confusion before, I didn't understand the problem before. Hope it helps! Have a great day, and sorry if it's late.
Re-write the quadratic function below in Standard form
Y= −3(x+1)(x−3)
Answer:
Y=−3x2+6x+9
Step-by-step explanation:
Using the sum of the angle measures of a triangle, m angleC=?
Answer:
m∠C = 66°
Step-by-step explanation:
Given
m∠ A = 33°
m∠ B = 81°
To determine
m∠C = ?
We know that sum of angles of a triangle is 180°.
so using the equation
m∠ A + m∠ B + m∠C = 180°
substituting m∠ A = 33°, and m∠ B = 81° in the equatio
33° + 81°+m∠C= 180°
114° + m∠C = 180°
m∠C = 180° - 114°
m∠C = 66°
Therefore,
m∠C = 66°Cydni is working with some algebra tiles at her desk. She makes groups of tiles like the ones below. Which expressions represent the sum of the tiles that Cydni has arranged on her desk? help
Answer:
3x+9
Step-by-step explanation:
If it’s multiple choice the other one is
x +1+1+1+x +1+1+1+ x +1+1+1
I hope this helps!
the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)
Answer: h = 14.5 ft
Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
i.e., the ratio of a side and the sin of its opposite angle is constant.
So, for this triangle, height is
[tex]\frac{sin46}{h} =\frac{sin44}{14}[/tex]
[tex]h=\frac{14sin46}{sin44}[/tex]
[tex]h=\frac{10.07}{0.69}[/tex]
h = 14.51
Height of the main sail rounded to the nearest tenth is 14.5 ft.
What is (a^2-b^2) factored out?
Answer:
(a+b)(a-b)
Step-by-step explanation:
because (a+b)(a-b):
If you use FOIL it will work backwards
a student buys (x) fashion magazines and (y) sports magazines. Each fashion magazine costs $2.00 and each sports magazine costs $1.60. If the student buys a total of 8 magazines for $14.00, which equation best represents the situtation
Answer:
Step-by-step explanation:
the student buys a total of 8 magazines for $14.00
x+y = 8
x = 8-y
2x+1.6y = 14
2(8-y)+1.6y = 14
16-2y+1.6y = 14
16-0.4y = 14
0.4y =16-14 = 2
y = 2/0.4 = 5
x = 8-y = 3
The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A student buys (x) fashion magazines and (y) sports magazines.
And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.
Here, The student buys a total of 8 magazines for $14.00.
Hence, We can formulate;
⇒ x + y = 8
And, 2x + 1.60y = 14.00
Thus, The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
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awnser photo quick please #8
Donald bought a box of golf balls for $9.31. There were 18 golf balls in the box.
About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.
Step-by-step explanation:
Cost of each golf ball = $9.31 / 18
≈ $9 / 18 = $0.5.
Answer: 0.5172222222222222
Step-by-step explanation: divide 18 by 9.31
Help please.
Algebra.
