Answers
Answer:
Bettina= X(let)
Darren=3x
Jonathan=6x
120=X+3x+6x
X=12
so Bettina=12 yrs
Darren=36 yrs
Jonathan=72 yrs
Answer:
Step-by-step explanation:
Let Bettina's age be B.
Then Darren's age is 3 times Bettina's, or 3B.
Jonathan's age is twice that of Darren, i.e. 2 (3B) = 6B.
Altogether, the sum of their age is
B + 3B + 6B = 120 years
10 B = 120 years
B = 12 years.
Therefore
Bettina is 12 years old
Darren is 3 times as old as Bettina, so 36 years old.
Jonathan is twice that of Darren, so 72 years old.
Total = 72+36+12= 120 years, check! :)
Related Questions
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 41 months and a standard deviation of 5 months. Using the empirical rule (as presented in class), what is the approximate percentage of cars that remain in service between 46 and 51 months
Answers
Answer:
15.85%
Step-by-step explanation:
Empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviation and 99.7% falls within three standard deviation.
Given mean (μ) = 41 months, standard deviation (σ) = 5 months
One standard deviation = μ ± σ = 41 ± 5 = (36, 46)
Therefore 68% falls within 36 months and 41 months
Two standard deviation = μ ± 2σ = 41 ± 2(5) = (31,51)
Therefore 95% falls within 31 months and 51 months
Three standard deviation = μ ± 3σ = 41 ± 3(5) = (26, 56)
Therefore 99.7% falls within 26 months and 56 months
The percentage of cars that remain in service between 46 and 51 months = 32%/2 - 0.3%/2 = 16% - 0.15% = 15.85%
-2x + 4 = 3
how would you solve this problem?
Answers
move the 4
-2x+4=3
-4 -4
-2x=-1
then you would move the -2 by using division
-2x=-1
__ __
-2 -2
x=0.5
Create an equivalent expression. Use^ to notate an exponent. Do not use parentheses.
(2x^3)^4
Answers
Sample Answer:
2x^12
Step-by-step explanation:
So whenever an exponent is to an exponent, simply multiply the exponents together:
(2x^3)^4 --> 2x^12
This simplified form of the question is a new, equivalent expression.
Find the exact value of the following trig ratio given the triangle.
Answers
Answer:
9
Step-by-step explanation:
(No links please) There were 2 red marbles, 3 blue marbles and 5 gold marbles in a bag.
You pulled out 1 red marble and did not replace it. Find the probability of drawing a gold marble next.
Answers
Answer:
5/9
Step-by-step explanation:
You started with 10 marbles total. You removed one marble and did not replace it, so you now have 9 marbles. The marble that you removed was NOT a gold marble, so you still have 5 gold marbles.
This means that out of the 9 marbles that you have left, 5 of them are gold.
This means you have a 5/9 chance of drawing a gold marble next.
Select the values that make the inequality n > -8 true.
(Numbers written in order from least to greatest going across.)
Answers
Answer:
9
Step-by-step explanation:
I'm somewhat confused I think you're forgot to put so more information
The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below:
n > -8
The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.
Thus, the correct option is A.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
The missing options are given below.
a) - 2
b) - 9
c) - 10
d) - 20
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answers
Answer:
c
Step-by-step explanation:
An input can only have one output.
will give brainlist, pls help lol
Answers
Answer:
D, 144
Step-by-step explanation:
Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.
Yolanda receives a $1,000 dollar raise each year from her starting salary of $40,800.
After 10 years, how much total gross income will she have earned for all 10 years?
For example: $40.800 in year one, $41,800 in year two etc.
helppp
Answers
Answer:50,400
Step-by-step explanation:
Based on the labels in the diahram of the human eye,the reader can conclude that
Answers
What is the domain of the absolute value function below?
-2-
1 2 3 4 5 6 7 8 x
O XS-4
0 x 22
0 (-09-4)
Answers
Remember
Domain is set of x valuesRange is set of y valuesHere
there is no starting or ending point
so domain is
(-oo,oo)
The domain of the absolute value function given is (-∞, +∞).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Domain of a function is the set of all the input values and the range of the function is the set of all the output values.
Given is an absolute value function.
Absolute value functions are functions which has the absolute value symbols in the expression.
From the graph, we can see that the value of x moves from negative infinity to infinity.
Domain of the function is the set of input values which is the set of values of x.
So the domain is (-∞, +∞).
Hence the domain is (-∞, +∞).
Learn more about Absolute Value Function here :
https://brainly.com/question/23777839
#SPJ7
Theodore deposited $2400 into a savings account for which interest is compounded monthly at a rate of 2.8%. How much interest will he earn after 10 years? *
$58.51
$678.59
$2478.59
$7679.48
Answers
Perimetrul unui dreptunghi este de 400 m, iar latimea este de 3 ori mai mica decat lungimea acestuia. Cati metri are lungimea dreptunghiului?
Answers
Răspuns:
150 m
Explicație pas cu pas:
Reamintim:
Perimetrul unui dreptunghi, P
P = 2 (lungime + lățime)
P = 400
Lățime = x
Lungime = 3x
Astfel, avem:
400 = 2 (3x + x)
400 = 2 (4x)
400 = 8x
Împărțiți ambele părți la 8
50 = x
Lungime = 3x
Lungime = 3 * 50
Lungime = 150 m
Find v.
Write your answer in simplest radical form.
Answers
Answer:
3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
in a 30-60-90 triangle, the side across from 60° is [tex]\sqrt{3}[/tex] multiplied by the side across from 30°
the side across from 90° (the hypotenuse) is double the side across from 30°
Pls help me with this
Answers
Answer:
102 degrees
Step-by-step explanation:
Since the total of all the angles inside a triangle must be 180 degrees, we can find out the value of x using a simple equation.
41+37+x = 180
78 + x + 180
x = 102
I need help with this asap please
Answers
Answer:
A
Step-by-step explanation:
Total amount of faces of object = 6
Surface area = length x height
2(4*10) + 2(10*17) + 2(4*17)
=2(40) + 2(170) + 2(68)
= 80 + 340 + 136
= 556cm^2
When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?
Answers
Answer:
1/3n-3÷6
Step-by-step explanation:
3 is subtraced form 1/3
Answer:
n < 27
Step-by-step explanation:
1/3n - 3
1/3n - 3 < 6
Add 3 to each side.
1/3n - 3 + 3 < 6 + 3
Combine like terms.
1/3n < 9
Divide each side by 1/3.
1/3n ÷ 1/3 < 9 ÷ 1/3
Combine like terms.
n < 27
Lines s and t intersect so that the measure of ∠1 is 85 °. If ∠2 is a supplement to ∠1, what is the measure of ∠2?
Answers
Answer:
95 degrees
Step-by-step explanation:
solve for x rounding to nearest tenth
Answers
here’s a photo with the work if that helps at all :)
solve the equation x - 4 = -3 help yall-
Answers
Answer:
x = 1
Step-by-step explanation:
x - 4 = -3
(add 4 to both sides)
x - 4 + 4 = -3 + 4
x = 1
Answer:
x = 1
Step-by-step explanation:
So you have to separate the x from the rest of the equation
so you can add 4 to both sides so x is by itself
so ur left with:
x = -3 + 4
and that is equal to x = 1
Hope that helps :)
7. John worked 32 hours last week and 28 hours this week. If he gets paid
$10.50/hour, what was his gross pay for the two weeks? *
Answers
Answer:
$630
Step-by-step explanation:
week 1 : $336
week 2 : $294
gross pay : $630
HELP PLEASEIWJDO!NWDIOJQWILD
Answers
Answer:
5.66
Step-by-step explanation:
(-1,-3) (-5,1)
√(x2 - x1)² + (y2 - y1)²
√[-5 - (-1)]² + [1 - (-3)]²
√(-4)² + (4)²
√(16) + (16)
√32
= 5.66
Two sides of a right triangle have lengths of 2 centimeters and 5 centimeters. The third side is NOT the hypotenuse. How long is the third side?
Answers
Answer:
About 1.625
Step-by-step explanation:
I believe it is 1.625
( 2^2 + b^2 = 5^2 )
Perform the operation.
(4x^2+9x-7)-(-7x^2+5x-1)
Answers
[tex](4 {x}^{2} + 9x - 7) - ( - 7 {x}^{2} + 5x - 1) \\ = (11 {x}^{2} + 4x - 6)[/tex]
Answer:
11x^2+4x-6
Step-by-step explanation:
[tex]4x^2+9x-7+7x^2-5x+1\\\\simplify: 11x^2+4x-6[/tex]
I had $36. I spent 1/2 of my money on Thursday and 2/3 of the remainder on Wednesday. How much money did I have left?
Where are you genius people? I know you hella smart
Answers
Answer:
$12
Step-by-step explanation:
Half of $36 would be $18. $18 divided by 3 would be $6. $6 times 2 would be $12. Half comes from the 1/2 of money spent on Thursday. Dividing it by 3 comes from the remainder on Wednesday. We divide it by 3 since the denominator of 2/3 is 3. We then multiply it by 2, since the numerator in 2/3 is 2.
How much material is needed to make the Nón Lá Vietnamese leaf hat? Round to the nearest tenth.
The surface area is
in.²
Answers
9514 1404 393
Answer:
408.4 in²
Step-by-step explanation:
The lateral area of a cone is ...
LA = 1/2πds . . . . . . . where d is the diameter and s is the slant height
Using the given dimensions, the area of the hat is ...
LA = 1/2π(20 in)(13 in) = 130π in² ≈ 408.4 in²
The surface area is about 408.4 in².
if two successive discount of 50% are offered on a LCD TV with MRP of rupees 40,000 then find the price offered to the customer....... please tell me,,,,
Answers
Multiply the original by the first 50% discount:
40,000 x 0.5 = 20,000
Now multiply that by the second 50 % discount:
20,000 x 0.5 = 10,000
The price would be 10,000 rupees
Answer:
Step-by-step explanation:
[tex]\frac{50}{100}[/tex] × 40 000 = 20 000
Solve for x in the following proportion?
1.6
722.5
0.4
10
Answers
Answer:
option D. 10
Step-by-step explanation:
[tex]\frac{34}{85} = \frac{4}{x}\\\\34 \times x = 4 \times 85\\\\x = \frac{340}{34} = 10[/tex]
Answer:
x = 10
Step-by-step explanation:
[tex] \dfrac{34}{85} = \dfrac{4}{x} [/tex]
Cross multiply.
34x = 4 × 85
34x = 340
Divide both sides by 34.
x = 10
Given AE and BD bisect each other at point c, which congruence theorem would you use to prove triangle ABC =~ triangle EDC ?
Answers
Explanation:
AC = EC
BC = DC
angle ACB = angle DCE (Vertically Opposite Angles)
Therefore, the triangles are congruent by the Side-Angle-Side congruency
help me with this the question is in the picture
Answers
Answer:
28:12
Step-by-step explanation:
You multiply both sides by the same number to increase a ratio, the only one you can do this with is 28:12 by multiplying the original ratio by 4