There are 27 chocolates. 10 are nuts ( 37%). 9 are chocolates (33%). 8 are caremel (30%). So 37/2 = 16.5% is the answer.
change the following into mixed fraction 13/5
Answer:
2 3/5
Step-by-step explanation:
13/5
5 goes into 13 2 time
2*5 =10
13-10 =3
There is 3 left over. This goes over the denominator
2 3/5
2 3/5
Step-by-step explanation:
13/5
5*2=10
reminder=3
divisor = 5
Use any method to multiply (3a + 2b – c)(a – b + 2c).
Question 5 options:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
B)
3a2 + 2b2 + 2c2 – ab – 5ac + 5bc
C)
3a2 + 2b2 – 2c2 + ab + 5ac + 5bc
D)
3a2 – 2b2 – 2c2 + ab + 5ac – 5bc
Answer:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
[tex](3a + 2b - c)(a - b + 2c) \\ = (3 {a}^{2} - 3ab + 6ac + 2ab - 2 {b}^{2} + 6bc - ac + bc - 2 {c}^{2} ) \\ = 3 {a}^{2} - ab + 5ac - 2 {b}^{2} + 5bc - {2c}^{2} \\ = 3 {a}^{2} - 2 {b}^{2} - {2c}^{2} - ab + 5ac + 5bc[/tex]
Answer:
option a is correct
Step-by-step explanation:
(3a + 2b - c)(a - b + 2c)
3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)
multiply the brackets
3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2
combine like terms
3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2
3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc
A cylinder has a volume of 187 cubic inches. If the radius is 3 inches, what is the height of the cylinder in inches?
Someone please help
Answer:
Step-by-step explanation:
V = pi r^2 h
V = 187
pi = 3.14
r = 3
h = ?
187 = 3.14 * 3^2 * h
187 = 3.14 * 9 * h
187 = 28.26 * h
187 / 28.26 = h
h = 6.62
Answer:
The height of cylinder is 6.61 inches.
Step-by-step explanation:
Given that :- Volume of cylinder = 187 inches ³.Radius of cylinder, r = 3 inchesWe need to Find :-Height of cylinder , h Formula Used :-Volume of cylinder = π × r ² × h
Where,
r is the radius of cylinder. h is the height of cylinder.Solution :-Using Formula
Volume of cylinder = π × r ² × h
Substitute the values
187 inches ³ = π × ( 3 inches ) ² × h
Using π = 3.14
187 inches ³ = 3.14 × 9 inches ² × h
multiply
187 inches ³ = 28.26 inches ² × h
Divide , we get
187 inches ³ / 28.26 = h
6.61 inches = h
Therefore, The height of cylinder is 6.61 inches.
The position of an atom moving inside a cathode ray tube is given by the function f(t) = t^3− 4t^2 + 3t where t is in seconds and f(t) is in meters. Find the instantaneous velocity of the atom at t = 2.5 seconds. A. 1.75 m/sec. B. 2.48 m/sec. C. 3.27 m/sec. D. 4.12 m/sec.
Answer:
A
Step-by-step explanation:
The position of an atom moving inside a cathode ray tube is given by the function:
[tex]f(t)=t^3-4t^2+3t[/tex]
Where f(t) is in meters and t is in seconds.
And we want to determine its instantaneous velocity at t = 2.5 seconds.
The velocity function is the derivative of the position function. Thus, find the derivative of the function:
[tex]f'(t)=3t^2-8t+3[/tex]
Then the instantaneous velocity at t = 2.5 will be:
[tex]f'(2.5)=3(2.5)^2-8(2.5)+3=1.75\text{ m/sec}[/tex]
Our answer is A.
Answer:
Instantaneous Velocity:
[tex]\longrightarrow\:\rm v = \dfrac{dt}{dy}[/tex]
[tex]\longrightarrow\:\rm v = \dfrac{d}{dy}( {t}^{3} - 4 {t}^{2} + 3t) \\ [/tex]
[tex]\longrightarrow\:\rm v = 3 {t}^{3 - 1} - 2.4 {t}^{2 - 1} + 3[/tex]
[tex]\longrightarrow\:\rm v = 3 {t}^{2} - 8 t + 3[/tex]
[tex]\longrightarrow\:\rm v = 3 {(2.5)}^{2} - 8 (2.5)+ 3[/tex]
[tex]\longrightarrow\:\rm v = 3 \times 6.25 - 20+ 3[/tex]
[tex]\longrightarrow\:\rm v = 18.75 - 20+ 3[/tex]
[tex]\longrightarrow\:\rm v = 18.75 - 20+ 3[/tex]
[tex]\longrightarrow\:\bf v = 1.75 \: {ms}^{ - 1} [/tex]
Can u help me with this?
Answer:
b
Step-by-step explanation:
it is the right answer pls believe me
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance for the same section of the trip is displayed below.
Who had a head start, and how many miles was the head start?
Answer:
The one you chose in the image is correct (A)
Answer:
a: Rita had a 28 mile head start
Step-by-step explanation:
What is the equation of the line that passes through the point (6,1) and is parallel to the line x+3y=15
9514 1404 393
Answer:
x + 3y = 9
Step-by-step explanation:
The parallel line will have the same x- and y-coefficients. The new constant can be found by using the (x, y) values of the given point.
x + 3y = (6 +3(1)) = 9
The equation of the parallel line is ...
x + 3y = 9
Simplify r^2-2r^3+3r^2
Answer:
=−2r3+4r2
Step-by-step explanation:
r2−2r3+3r2
=r2+−2r3+3r2
=r2+−2r3+3r2
=(−2r3)+(r2+3r2)
=−2r3+4r2
This diagram represents 3 batches of light yellow paint. Select a ratio that represents 1 batch of the same shade of light yellow paint. (look at screen shot for full question)
Answer:
3 white to 5 yellow
the third choice
Step-by-step explanation:
white 9 parts
yellow 15 parts
9 white to 15 yellow
Divide by 3
3 white to 5 yellow
PLSSSSSSS ASAPPPPPPPP
A)157
B)67
C)177
D)None of these answers
E)23
Dave is helping his grandmother make trail mix. His grandmother ask
him to add 1/5 cup of fruit for every 1/3 cup of nuts. To satisfy his grandmother's request, Dave mix ?? cup of fruit for a single, cup of nuts.
9514 1404 393
Answer:
3/5 cup of fruit
Step-by-step explanation:
Dave is making 3 times his grandmother's recipe, so for 3 × 1/3 cup of nuts, he needs 3 × 1/5 cup of fruit:
3/5 cup of fruit for 1 cup of nuts
Which one hurry
A.9
B.18
C.27
D.33
Answer:
It’s c I do believe
Answer:
seriously, talk to your teacher. its 21 units squared.
I guess the person who draw this had 18 units squared in mind, but failed to properly draw it.
so none of the options really fit. it's just a badly done problem. not your fault though. its just some of these little things to be just a little mad about.
A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 4 types of drinks to choose from, 5 types of sandwiches, and 3 types of chips. How many different value meal packages are possible
Answer:
60 different meal packages are possible.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
4 types of drinks
5 types of sandwiches.
3 types of chips.
They are independent events, so, by the fundamental counting principle:
4*5*3 = 60
60 different meal packages are possible.
please help ASAP (math)
may u plz help me.....
Answer:
the 3 is in the hundredths place
Step-by-step explanation: the numbers from behind the decimals goes tenths, hundredths, thousandths. there is two spots behind making it hundredths
Family Flowers employs 17 people, of whom 14 earn gross pay of $660.00 each and 3 earn gross pay of $700.00 each on a weekly basis. What is the employer's share of total Social Security and Medicare taxes for the first quarter of the year? (Social security tax is 6.2% of wages up to $128,400. Medicare tax is 1.45% of all wages.)A. $660.00B. $700.00 C. $850.68D. $11,277.63
graph y > 1 - 3x whats the answer please
Answer:
see graph
Step-by-step explanation:
Richard and Braden are playing a game with a pair of dice. Richard needs a sum greater than 9 to win. What is his probability of winning on his next turn?
Answer:
5/12
Step-by-step explanation:
Notice that the in the throw of a pair of dice.
Sum No. of times Favorable outcome
8 5
9 4
10 3
11 2
12 1
And total otcome = 6×6 =36
There P ( richard win) = P(X≥8)
= (5+4+3+2+1)/36
=5/12
que por qué me va a dar 70
what number x anuder number is =70
Answer: i didnt really understand what you put but i can help you out. If your saying what _ x _ = 70. You can do 10 x 7 or 7x10
Step-by-step explanation:
(xii) x^6 - 8 divide by x^2 - 2
Answer:
1/x^2
Step-by-step explanation:
x^6-8 / x^2-2
x^-2/x^0
x^-2/1
do reciprocal
1/x^2
Note : In division if the power of the base is negative then do its reciprocal then the power will be positive.
1. Of the three angles in a right-angled triangle, one angle has a measure
of 60 degrees. What is the measure of the third angle, Angle X? *
al 60
Answer:
30°
Step-by-step explanation:
180 - 90 - 60 = 30
The equation is y = -5(3^x)
Answer:
C
Step-by-step explanation:
Since the number outside of the parentheses is -5, the negative factor means that the line is reflected across the x-axis.
In a game of chance,players spin a pointer on a spinner with eight equal-sized sections.
Answer:
The change of the person landing on each side is 1/8
Step-by-step explanation:
find the missing angles
[tex]\huge\bold{Given :}[/tex]
Angle a = 39°
Angle c = 123°
[tex]\huge\bold{To\:find :}[/tex]
The measure of angle b.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
∠ b = 18°
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ a + ∠ b + ∠ c = 180°
➪ 39° + ∠ b + 123° = 180°
➪ ∠ b + 162° = 180°
➪ ∠ b = 180° - 162°
➪ ∠ b = 18°
Therefore, the measure of ∠ b is 18°.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ a + ∠ b + ∠ c = 180°
✒ 39° + 18° + 123° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
What is the measure of angle R
Answer: 37 degrees
Explanation:
We have a right triangle because the tangent is always perpendicular to the radius, at the point of tangency.
That then leads to angles P and R being complementary, ie they add to 90
P+R = 90
R = 90-P
R = 90-53
R = 37
Choose the equation and the slope of the line that passes through (3,-2) and is parallel to the x-axis. CHECK ALL THAT APPLY
A. Equation: x= 3
B. Equation: x = -2
C. Slope: undefined
D. Equation: y= 3
E. Slope: 0
F Equation: y= -2
Answer:
E. Slope: 0
F. Equation: y = -2
Step-by-step explanation:
✔️The x-axis is a horizontal line. Horizontal line does not have any rise, therefore, slope (m) of horizontal line is zero.
The line that is parallel to the x-axis would have a slope of 0 as well.
Therefore, slope (m) = 0
✔️Since the line passes through (3, -2) let's find the y-intercept (b) to enable us write the equation of the line.
Substitute (x, y) = (3, -2) and m = 0 into y = mx + b
-2 = 0(3) + b
-2 = 0 + b
b = -2
✅To write the equation of the line that is parallel to the x-axis, substitute m = 0 and b = -2 into y = mx + b:
y = 0(x) + (-2)
y = 0 - 2
y = -2
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
14x^4y^6/7x^8y^2
A. 2y^4/x^3
B. 7y^3/x^2
C. 7x^4y^4
D. 2x^2y^3
Answer:
The answer is A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hope this Helps ;)
solve for x in parts below:
Answer:
x=30°
Step-by-step explanation:
50 + x =80 degree (sum of two interior opposite angles is equal to the exterior angles formed)
x=80-50
x=30 degree
Simplify the expression.
56 ÷ (–7)
–8
8
392
–392
Answer:
- 8
Step-by-step explanation:
56 ÷ (- 7)
56 ÷ - 7
- 8
Answer:
-8
Step-by-step explanation:
A positive number divided by a negative one results in a negative quotient.
Thus, 56 ÷ (–7) = -8
Answer to the question
Answer:
(Opt.D) x = 14
Step-by-step explanation:
<A + <B = 180 (Adjacent angles of a parallelogram are supplementary)
∴36 + 11x - 10 = 180
26 + 11x = 180
11x = 180 - 26
11x = 154
x = 154/11
x = 14
Hope this helps u
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Thank You