Answer:
Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.
Step-by-step explanation:
Dado que Luis, Pedro y Ernesto fueron a comer pizza, y entre Luis y Ernesto comieron el doble que Pedro, y Pedro comió el doble que Ernesto, y entre los 3 se comieron una pizza, para determinar qué porción se comió cada uno se debe realizar el siguiente cálculo:
L + P + E = 1
L + E = 2P
P = 2E
L + E = 4E
L = 4E - E
L = 3E
3E + 2E + E = 1
6E = 1
E = 1/6
E = 0.166
P = 0.166 x 2
P = 0.333
L = 0.166 x 3
L = 0.5
L = 1/2
Por lo tanto, Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.
A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in days.
Answer:
The substance half-life is of 4.98 days.
Step-by-step explanation:
Equation for an amount of a decaying substance:
The equation for the amount of a substance that decay exponentially has the following format:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which k is the decay rate, as a decimal.
k-value of 0.1392.
This means that:
[tex]A(t) = A(0)e^{-0.1392t}[/tex]
Find the substance's half life, in days.
This is t for which [tex]A(t) = 0.5A(0)[/tex]. So
[tex]A(t) = A(0)e^{-0.1392t}[/tex]
[tex]0.5A(0) = A(0)e^{-0.1392t}[/tex]
[tex]e^{-0.1392t} = 0.5[/tex]
[tex]\ln{e^{-0.1392t}} = \ln{0.5}[/tex]
[tex]-0.1392t = \ln{0.5}[/tex]
[tex]t = -\frac{\ln{0.5}}{0.1392}[/tex]
[tex]t = 4.98[/tex]
The substance half-life is of 4.98 days.
Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?
Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given
There are 9 chips numbered 1 to 9 placed in a box
Margie selected one chip from the box
If the chip is multiple of 3 then the chip can be 3, 6, or 9
So, the probability associated with this is
[tex]\Rightarrow P=\dfrac{\text{favorable}}{\text{Total}}\\\\\Rightarrow P=\dfrac{3}{9}\\\\\Rightarrow P=\dfrac{1}{3}[/tex]
In the circle above, DE = 2, CE = 6, and BE = 3.
What is the measure of EA?
A) 2
B) 3
C) 6
D) 4
Answer: The correct option is (D) 4.
Step-by-step explanation:
According to the intersecting chords theorem, if two chords intersect in a circle then the products of the length of the chord segment are equal.
Given:
DE = 2
CE = 6
BE = 3
Now calculating the the value of EA.
As per theorem:
[tex]DE\times CE=BE\times EA[/tex]
Now putting the all the given values in this expression, we get:
[tex]2\times 6=3\times EA\\\\EA=4[/tex]
Therefore, the measure of EA is 4.
Andrew is thinking of a number. 30 more than 10 times a number is 90. Find Andrew's number.
Answer:
Step-by-step explanation:
90 = 10x+30
60 = 10x
6 = x
someone help please I'm having a hard time understanding
Answer:
the angle shown is a straight angle value of which is equal to 180°
3x + 30. 6 = 180
3x = 180 - 30. 6
3x = 149.4
x = 49.8Ali earns $80 in 10 hours. How long would it take him to earn $200?
Answer:
25 hours
Step-by-step explanation:
first you ask yourself that :
if it takes just 10 hrs to make $80 , would it take more or less hours to make $200.
The answer is it will take more hours to make $200,
Based on this idea established: we say if it's giving more then less would divide.
so therefore:
we have
[tex] \frac{200}{80} \times 10 [/tex]
finally we have 25 hours.
Thanks
Find the volume of the given figure.
5
9
8
Answer:
179.996
Step-by-step explanation:
74,308 Problem: Round the number above to the nearest ten.
Answer:
74,310
Hope this helped! ^^
Answer:
[tex] = 74,310[/tex]
step by step explanation:
What is 4³ written in expanded form?
Answer:
4³=4*4*4 is a required expanded form.
i need to finish this usa test prep now plz help
Answer:
R = 101
S = 131
Step-by-step explanation:
First, you will want to get your angle T. Since T is on the same line as the angle with 128 degree, you can easily find angel T. They are supplementary angels and form 180.
T=180-128
T=52
You also know that all angles in a triangle equal to 180
Use that to find angle S
180 = R+S+T
180 = 79 + S + 52
180 - 79 - 52 = S
49 = S, exterior S = 180-49 = 131
Exterior R = 180 - 79 = 101
Now add all your exteriors
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEE im confused
Answer:
1.B,C,D
2.A,D,E
I don't really know how to explain it to you but thats your answer :D
Anyone know this?I need help
Answer:
One of the legs is missing; the leg missing is 16 inches long
Step-by-step explanation:
Hypotenuse is usually the longest leg and you'll because it's directly across the biggest angle (the biggest angle is the right angle so Leg C would be the biggest leg).
20² - 12² = x²
400 - 144 = x
400 - 144 = 256
√256 = 16
Solve the triangle for all missing sides and angles
Answer:
a=9
c= 17.5
angles: a =31, b =59, c =90
Step-by-step explanation:
a:
tan (31) = a/15 *cross multiply*
a = 15 (tan (31))
a = 9
c:
*use pythagorean theorum*
9^2 + 15^2 = c^2
81 + 225 = c^2
306 = c^2
17.5 = c
Answer:
B = 59
a = 9.01
c = 17.49
Step-by-step explanation:
Angle B
180 - 90 - 31 = 59
c
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin(B)=opp/hyp
sin(B)=15/c
sin(59)=15/c
c=15/sin(59)
c=17.49
Find the last side of the triangle using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\a^{2} +15^{2} =17.49^{2} \\\\a^{2} =17.49^{2} -15^{2}\\a=9.01[/tex]
What is the value of X?
Answer:
16
Step-by-step explanation:
AB = BC
32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]
How much would you pay for a shirt that is marked at $85, but is on sale for 30% off? (no Tax)
Answer:
59.50
Step-by-step explanation:
I need help on this please it would really help me alot
Answer:
C = 12 pi
Step-by-step explanation:
The radius is 6
The circumference is given by
C = 2 * pi *r
C = 2 * pi *6
C = 12 pi
Answer:
12π
Step-by-step explanation:
the circumference of the circle can be found using the formula: 2πr.
RW is the radius, and we know that RW=6, so we can plug this into the formula:
C=2πr
C=2π(6)
C=12π
so, the circumference of the circle is 12π.
Find the length of arc AB with an angle measure of 15 degrees and radius of 10 cm. Round to the nearest hundredth place if you get a continuous decimal when dividing with 360 degrees.
Answer:
AB ≈ 2.62 cm
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{15}{360}[/tex]
= 2π × 10 × [tex]\frac{1}{24}[/tex]
= [tex]\frac{20\pi }{24}[/tex]
≈ 2.62 cm ( to the nearest hundredth )
how to convert 2km into SI unit
Answer:
km is a unit of distance
and si unit of distance is meters.(m)
1 km = 10³ m
•°• 2 km = 2 × 10³ m
in SI unit 2km = 2 × 10³ m or 2000 m
An amount of $45,000 is borrowed for 13 years at 6.75% interest, compounded annually. If the loan
paid back
Use the calculator provided and round your answer to the nearest dollar,
Answer:
$104850
Step-by-step explanation:
Given data
Principal= $45,000
Time = 13 years
Rate= 6.75%
the compound interest expression is
A= P(1+r)^t
A=45000(1+0.0675)^13
A= 45000(1.0675)^13
A= 45000*2.33
A= $104850
Hence the final amount will be $104850
Solve for x if:
y = 7
x = 5y + 2
Solve for y if:
k = 2
8k - 3y 10
Solve for y if:
m = 3
y = 5x - 15
Solve for x and y if:
y = -3x + 9
y = 8x - 2
Answer:
Step-by-step explanation:
Please the number given in place of its letter in your equation
x = 5y + 2 if y = 7
x = 5*7 + 2
x = 35 + 2
x = 37
Apply the same principle to the others
find all the possible of x for which of the below is true:
[tex] \frac{2x}{x + 3} + \frac{3}{x - 3} = \frac{8}{x^{2} - 9 } [/tex]
Answer:
x = [tex]\frac{1}{2}[/tex] , x = 1
Step-by-step explanation:
Given
[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{x^2-9}[/tex] ← denominator is a difference of squares
[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{(x+3)(x-3)}[/tex]
Multiply through by (x + 3)(x - 3) to clear the fractions
2x(x - 3) + 3(x + 3) = 8 ← distribute left side and simplify
2x² - 6x + 3x + 9 = 8
2x² - 3x + 9 = 8 ( subtract 8 from both sides )
2x² - 3x + 1 = 0 ← in standard form
(2x - 1)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
x - 1 = 0 ⇒ x = 1
ill give brainliest to the correct answer
Answer:
7 x 4 = 28
28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28
4 x 5 = 20(area of square in the middle)
5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)
Now lets add the given areas:
28 + 20 + 80 = 128 square is your answer.
Evaluate: 4x(5+3)=8-2
A 2
B 8
C 12
D 15
Answer:
The answer to the problem is 15.
hey! i’ll give brainliest please help
Answer:
D
Step-by-step explanation:
hey
Answer:
I thing answer is no. D .....
What is the arc length of PQ?
Answer:
43.9823
Step-by-step explanation:
[tex]Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )[/tex]
WILL GIVE BRAILIEST!!!
Answer:
Step-by-step explanation:
6^4*612/6^7
6^4*6^12-7
6^4*6^5
6^4+5
6^9
In the figure below, ∠PQR and ∠TQS are vertical angles. What is the value of x? *
A. 16
B. 32
C. 48
D. 66
Answer:
A) 16
Step-by-step explanation:
∠PQR and ∠TQS are vertical, meaning they equal each other
set up your formula as
3x+18=66
3x=66-18
3x=48
x=48/3
x=16
Brainlest if correct!!!
During one month, the mean high temperature in Boise, Idaho, was 52.1°F with a standard deviation of 6.5° F. During the same month, the mean high temperature in Death Valley, California, was 81.9° F with a standard deviation of 6.4° F. Select all the statements that are true.
Answer:
B. The average high temperature in Death Valley was greater than the average in Boise
C. The variation of high temperature in Death valley was about the same as the variation in Boise
Step-by-step explanation:
Step 1: In a normal distribution, about 95% of the values are ±2 standard deviations from the mean. ±2 standard deviation from the mean high temperature of Boise is 39.1 to 65.1. Therefore, option A is wrong
Step 2: The average temperature high temperature of each of the places isngiven by their mean high temperatures.
The mean high temperature in Boise, Idaho, was 52.1°F while the mean high temperature in Death Valley, California, was 81.9°F.
Difference between the mean high temperatures is (81.9 - 52.1) = 29.8°F
Therefore, the average high temperature in Death Valley was greater than the average in Boise. Option B is correct.
Step 3: Standard deviation measures how spread out data is. It is a measure of variation of data.
The standard deviation of the high temperature in Boise, Idaho was 6.5° F, while the standard deviation of the high temperature in Death Valley, California was 6.4° F. This two values are about the same. Therefore, option C is correct.
Step 4: In a normal distribution, about 68% of the values are ±1 standard deviations from the mean. ±1 standard deviation from the mean high temperature of Death Valley is 75.5 to 88.3. Therefore, option D is wrong
Step 5: In a normal distribution, about 99.7% of the values are ±3 standard deviations from the mean. ±3 standard deviation from the mean high temperature of Boise is 32.6 to 71.6. Therefore, option E is wrong
What is the m_ACB?
O 10°
B.
0 50°
(4x)
O 90°
O 180°
(7x-20)
С
Answer:
180
Step-by-step explanation:
90 + 4x + 7x - 20 equals to 180
Answer:
B. 50
Step-by-step explanation:
HELPP PLZZ
ASAP TYYY
Yes, this parabola is a function because it passes the vertical line test!
The vertical line test is a test where you move left to right over a graph, and look to see if there are any instances where the vertical line touches two points at the same time. If not, then the graph is a function!
Hope this helps!! :)