Answer:
3/3
Step-by-step explanation:
there are 3 plates and 1/3 on each plate is 3
1/3+1/3+1/3= 3/3
An entity can be divided in fractions or ratios. The total number of pie left over on N plates is [tex]\frac 13N[/tex]
Given that:
[tex]k = \frac13[/tex] --- the fraction left over
The total number of pie left over is
[tex]Total = \frac{1}{3} \times N[/tex]
Where N is the number of plates
So:
[tex]Total = \frac{1}{3} N[/tex]
For instance
If N is 6, the number of pie will be 2: i.e.
[tex]Total = \frac{1}{3} \times 6 = 2[/tex]
If N is 12, the number of pie will be 4: i.e.
[tex]Total = \frac{1}{3} \times 12 = 4[/tex]
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I need help with this problem.
How do I do it?
Answer:
20
Step-by-step explanation:
For the area of a rectangle we use A = L* W
We know area or A = 420
and we know length or L = 21
Now we need to find the width or W
(420) = (21) * W
Divide both sides of the equation by 21 to isolate the variable.
That leaves us with:
W = 20
If an atom has 12
positively-charged
protons and 12
negatively charged
electrons, what is its
total charge?
Answer:
if both the electron and proton have the same number then the charge of an atom is neutral because each proton executes each neutron
Evaluate the exponent expression for a = –2 and b = 3.
Answer:
The choose B) -9/8
Step-by-step explanation:
[tex] \frac{ - 2a ^{ - 3 } {b}^{2} }{a} \\ \frac{ - 2( - 2)^{ - 3} {3}^{2} }{ - 2} \\ \frac{ - 2(9)}{ - 2( - 8)} = - \frac{9}{8} [/tex]
I hope I helped you^_^
Which of the following does not represent a proportional relationship?
A. Zoe earns a base salary of $500 plus 3% commission
B. Dane drove 200 miles at a consistent speed for four hours
C. Water leaks from the faucet at a rate of 1/2 of a liter per hour
D. A recipe for biscuits calls for 3 cups of flour and 1 1/2 teaspoons of baking soda
Step-by-step explanation:
the correct aanswer is 3 is correct answermark me bbrainleast plz
Answer:
d is the answer
Step-by-step explanation:
mark me as brilliant
Given P(A) = 0.6 and P(B) = 0.8, do the following. If A and B are independent events, compute P(A and B)
Answer:
0.48
Step-by-step explanation:
[tex]0.6*0.8 = 0.48[/tex]
Any mathematician to help me do this question.
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Answer:
70
Step-by-step explanation:
If we consider the terms to have decreasing powers of x, then the middle term is the one with x^4y^4 as its variables. The full value of that term is ...
(8C4)(2x)^4(3y)^4 = 70(6xy)^4
Substituting for x and y, this is ...
70(6(1/3)(1/2))^4 = 70(1^4) = 70
The middle term is 70 when (x, y) = (1/3, 1/2).
_____
The value of nCk is n!/(k!(n-k)!). Then 8C4 is 8!/(4!)^2 = (8·7·6·5)/(4·3·2·1) = 70.
IF
(3x + y = 10
\x-4y=-1
then
n y =
Answer:
n | 0 | 0 1
| y 2 | 2 y 3 | 3 años
Step-by-step explanation:
- Three times the quantity two decreased by x is nine.
Step-by-step explanation:
3(2-x)=9
this is the answer to the statement
The expression three times the quantity two decreased by x is nine is - 1
A quantity two decreased by x can be expressed thus :
(2 - x)Multiplying the quantity by 3 :
3(2 - x)The expression can be written Mathematically as thus : 3(2 - x) = 9
The expression can be expanded further as :
3(2 - x) = 9
6 - 3x = 9
Collect like terms
-3x = 9 - 6
-3x = 3
x = (3 ÷ -3)
x = - 1
Therefore, the expression equates to - 1
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kindly help answering the question.
Answer:
[tex]\displaytstyle \theta \approx \left\{16.3249^\circ, 59.6388^\circ, 196.3249^\circ, 239.6388^\circ\right\}[/tex]
Or, their exact solutions:
[tex]\displaystyle \theta = \left\{\arctan\frac{2-\sqrt{2}}{2} , \arctan\frac{2+\sqrt{2}}{2}, 180^\circ + \arctan\frac{2-\sqrt{2}}{2}, 180^\circ + \arctan\frac{2+\sqrt{2}}{2}\right\}[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex]\displaystyle 2\sec^2 \theta = 4\tan \theta + 1[/tex]
For 0° ≤ θ ≤ 360°.
Recall that tan²(θ) + 1 = sec²(θ). Substitute:
[tex]\displaystyle 2\left(\tan^2 \theta + 1\right) = 4\tan \theta + 1[/tex]
Distribute:
[tex]\displaystyle 2\tan^2\theta + 2 = 4\tan\theta + 1[/tex]
Isolate:
[tex]\displaystyle 2\tan^2\theta - 4\tan\theta + 1 = 0[/tex]
This is in quadratic form. Thus, we can solve it like a quadratic. Let u = tan(θ). Hence:
[tex]\displaystyle 2u^2 - 4u + 1=0[/tex]
The equation is not factorable. Therefore, we can consider using the quadratic formula:
[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}[/tex]
In this case, a = 2, b = -4, and c = 1. Substitute and evaluate:
[tex]\displaytstyle \begin{aligned} u &= \frac{-(-4)\pm\sqrt{(-4)^2 - 4(2)(1)}}{2(2)} \\ \\ &= \frac{4\pm\sqrt{8}}{4} \\ \\ &= \frac{4\pm2\sqrt{2}}{4} \\ \\ &= \frac{2\pm\sqrt{2}}{2}\end{aligned}[/tex]
Therefore:
[tex]\displaystyle u = \frac{2+\sqrt{2}}{2} \approx 1.7071\text{ or } u = \frac{2-\sqrt{2}}{2}\approx 0.2929[/tex]
Back-substitute:
[tex]\displaystyle \tan\theta = \frac{2+\sqrt{2}}{2} \text{ or } \tan \theta = \frac{2-\sqrt{2}}{2}[/tex]
Take the inverse tangent of both equations. Hence:
[tex]\displaystyle \theta = \arctan\frac{2+\sqrt{2}}{2} \approx 59.6388^\circ\text{ or } \theta = \arctan\frac{2-\sqrt{2}}{2}\approx 16.3249^\circ[/tex]
The same value of tangent occurs twice in every full rotation. Hence, by reference angles, the other two solutions are:
[tex]\displaystyle \theta = 180^\circ + \arctan\frac{2+\sqrt{2}}{2} \approx 239.6388^\circ \\ \\ \theta = 180^\circ + \arctan\frac{2-\sqrt{2}}{2} \approx 196.3249^\circ[/tex]
In conclusion, the four solutions are:
[tex]\displaystyle \theta = \left\{\arctan\frac{2-\sqrt{2}}{2} , \arctan\frac{2+\sqrt{2}}{2}, 180^\circ + \arctan\frac{2-\sqrt{2}}{2}, 180^\circ + \arctan\frac{2+\sqrt{2}}{2}\right\}[/tex]Or, approximately:
[tex]\displaytstyle \theta \approx \left\{16.3249^\circ, 59.6388^\circ, 196.3249^\circ, 239.6388^\circ\right\}[/tex]
Find a2 and a3 for the geometric sequence 4, a2, a3, 108.
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Answer:
a2 = 12
a3 = 36
Step-by-step explanation:
Terms of a geometric sequence have a common ratio. If we call that ratio r, then we have ...
a2 = 4r
a3 = (a2)r = 4r^2
108 = (a3)r = 4r^3
27 = r^3 . . . . . . . . . . . divide by 4
3 = r . . . . . . . . . . cube root
__
a2 = 4(3) = 12
a3 = 12(3) = 36
make d the subject of the formula h= d/3 + 2
Answer:
d= 3h-6
Step-by-step explanation:
h= d/3+2
h-2= d/3
d= 3(h-2)= 3h-6
Answer:
d = 3h - 6
Step-by-step explanation:
[tex]h = \frac{d}{3} + 2[/tex]
subtract 2 on all sides :
[tex](h) - 2 = (\frac{d}{3} + 2) - 2 \\ \\ h - 2 = \frac{d}{3} [/tex]
multiply 3 on all sides:
[tex](h - 2) \times 3= \frac{d}{3} \times 3 \\ \\ 3(h - 2) = d[/tex]
open bracket:
[tex]d = 3h - 6[/tex]
What is the equation of a line parallel to y=1/3x-4 that passes through (9,8)?
Step-by-step explanation:
Given line y=1/3x-4
slope of given line m=1/3
Slope of required line :
m=1/3
As lines are parallel then slope of lines are equal.
Using point slope form:
y-y1=m(x-x1)
p(x1,y1)=(9,8)
y-8=1/3(x-9)
3y-24=x-9
x-3y-9+24=0
x-3y+15=0
Note:if you need to ask any question please let me know.
7. After 8 months, Joellen has lost 75 pounds. This is a 30% decrease in her starting weight. Find
her starting weight.
Answer:
Started 100% = x pounds
30% = 75 pounds
x= 75*100÷30= 250 pounds
Starting Weight = 250 pounds
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
30% = 75 pounds
100% = 250 pounds
The starting weight was 250 pounds.
What is a percentage?
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
30% decrease = 75 pounds
Starting weight = 100%
Now,
30% = 75
Multiply 100/30 on both sides.
100/30 x 30% = 100/30 x 75 pounds
100% = 10/3x 75 pounds
100% = 10 x 25 pounds
100% = 250 pounds
Thus,
The starting weight was 250 pounds.
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simplify (y + 5 )-( y - 6)
Answer:
11
Step-by-step explanation:
(y+5)-(y-6)
y+5-y+6(opening the bracket)
5+6
11
Answer:
11
Step-by-step explanation:
(y+5) - (y-6) = y + 5 - y + 6 =
0y + 11 = 11
Remember, y - y = 1y - 1y = 0y or 0, and - (y-6) = -1 (y-6) = -y + 6
Last week Zurina worked the following days and times:
Day 1: 4 hours, 15 minutes
Day 2: 5 hours, 0 minutes
Day 3: 6 hours, 45 minutes
Find Zurina's total time worked in decimal hours. (4 points)
14.45
15.60
16.00
Answer:
46 hours and 5 minutes she worked
Answer is 15.60
we can say 4h and 15 min is 4.15
4.15 + 5.00 + 6.45 =
15.60
so the answer would be B
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How much simple interest would Lou Ann earn on a starting balance of $500 over 240 days at 3% simple interest assume ut us a 3645 day year? Justify your solution
Step-by-step explanation:
500 divided by 3 __
__ + 3645 = __
__ - 240 = __
When both quantities in a rate are fractions, what strategy
do you use to write the rate as a unit rate?
When both quantities in a rate are fractions, the strategy to write the rate as a unit rate is to divide both the numerator and denominator of the rate by their greatest common factor (GCF) to simplify the fraction.
To write the rate as a unit rate:
1. Identify the rate, which is a fraction with a numerator and a denominator.
2. Find the greatest common factor (GCF) of the numerator and denominator.
3. Divide both the numerator and denominator by the GCF to simplify the fraction.
4. The resulting simplified fraction is the unit rate.
For example, if the rate is 3/6, the GCF of 3 and 6 is 3. Divide both the numerator and denominator by 3:
3/6 ÷ 3/3 = 1/2
So, the unit rate of 3/6 is 1/2.
By converting the rate to a unit rate, we make it easier to compare the rate for a single unit of one quantity to a single unit of the other quantity, making it more convenient for comparison and analysis.
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Similarity and Congruence
Two figures are said to be SIMILAR if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.
Each pair of figures is similar. Find the value of the missing side (x).
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Answer:
3 in
Step-by-step explanation:
Ratios of corresponding sides are equal, so we have the proportion ...
x/(5 in) = (6 in)/(10 in)
x = (5 in)(6/10) = 3 in
The missing side (x) is 3 in.
!! MATH EMERGENCY !! Hey Can someone please help me Ill give as many points as i can and make brainiest i just really need help
Answer:
B
Step-by-step explanation:
it simplifies to [tex]x^{4}[/tex]
Can’t figure out number 32 plzzzz help
Answer:
Area = 80
Step-by-step explanation:
area = a^2 = 4^2 = 16 = square
area = wl = 12*8 = 96 = rectangle
rectangle - square
96 - 16 = 80
The leaning tower of Pisa is approximately 179 ft in “height” and is approximately 16.5 ft out of plumb. Find the angle at which it deviates from the vertical.
The angle at which the leaning tower of Pisa deviates from the vertical is approximately 5.31 degrees.
To find the angle at which the leaning tower of Pisa deviates from the vertical, we can use the concept of tangent function.
First, we need to calculate the distance that the top of the tower is displaced from the vertical axis. This can be done using the Pythagorean theorem, which states that the displacement (d) is equal to the square root of the height of the tower (h) squared plus the amount the tower is out of plumb (p) squared:
d = √(h² + p²)
d = √(179² + 16.5²)
d = 180.14 ft
Next, we can use the tangent function to find the angle of deviation (θ):
tan(θ) = p/h
tan(θ) = 16.5/179
θ = tan⁻¹(16.5/179)
θ ≈ 5.31 degrees
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Is 0.03456 a rational number
Answer:
Yes. It is a rational number.
please help me with these ones ok
Answer:
first question: reflection on the y axis
second question: reflection on the x axis
Step-by-step explanation:
1
What is the value of
60?
O
оо
If it takes you 20 minutes to hike a distance of 1 mile, how fast are you walking in miles per hour
Answer:
1.60934 per hour
please mark me brainliest
Answer:
1.60934 per hour
plz mark my answer brainliest answer plz
Find the unit rate. 7 square foot in - hour
i need more info. Is this the whole question?
Evaluate the expression below for x = 5. 5(x + 7)
Answer:
60
Step-by-step explanation:
5(x + 7)
when x is equal to 5, then
5(x + 7)5(5+7)5(12)5×1260I will mark as brainliest:)
Answer:d
Step-by-step explanation:
The ________ is the actual population of individuals, or clusters, from which a random sample will be drawn.
what is the median of the number 10 12 13 15 16 19 25?
Answer:
15 is the middle number
Step-by-step explanation:
BECAUSE IF YOU COUNT FROM THE LEFT AND RIGHT AND WHICH NUMBER APPEARS IN THE MIDDLE IS YOUR MEDIAN
Answer:
15
Step-by-step explanation:
this asks for the median, and not the mean value.
please notice that these 2 values are often if not mostly different from each other.
the median just defines the middle of the value interval, so that half of the different values are left, and half are right of that median value.
here we have 7 values. do we find one, so that 3 other values are smaller, and 3 other values are bigger than that ?
that is 15.
10, 12, 13 are smaller.
16, 19 and 25 are bigger.
so, 15 is the median.