Charlie is 4 more than twice as old as Frank. Frank is 3 years younger than Bob,
If Bob is 9 years old, how old is Charlie?
Answer:
16
Step-by-step explanation:
x + 3= 9
x = 6
2x + 4= 2*6 + 4
2x + 4 = 12 + 4
2x + 4 =16
Charlies 16
hope it helps
Answer: he is 16
Step-by-step explanation:
Let x = Frank's age
2x+4+ = Charlie's age
x+3+ = Bob's age
9 = Bob's age
x+3=9
x=6
2x+4=2⋅6+4
2x+4=12+4
2x+4=16
Charlie is 16
y= 4x + 2
y= 4x + 6
How many Solutions
A company produces packets of soap powder labeled "Giant size 32 Ounces." The actual weight of soap powder in a box has a normal distribution with a mean of 33 oz. And a standard deviation of 0.8 oz. The proportion of packets that are underweight (i.E. Weight less than 32 oz.) are
Answer:
0.1057
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score = 32 oz
μ is the population mean = 33 oz
σ is the population standard deviation = 0.8oz
For x < 32 oz
z = 32 - 33/0.8
z = -1.25
Probability value from Z-Table:
P(x<32) = 0.10565
Approximately = 0.1057
Therefore, the proportion of packets that are underweight (i.e. Weight less than 32 oz.) are 0.1057.
A bacteria population is growing by 15% each hour. By what "growth factor" does the population change each HALF HOUR?
Answer:
7.5
Step-by-step explanation:
If the question is asking for half of the hour, just divide 15/2.
Sum of twenty, use the numbers 0 - 9 so that each row column sum to 20. Diagonals are not included.
Answer:
where each row and column sum up to 20
2 4 6 8
4 2 6 8
6 6 4 4
8 8 4 0
Step-by-step explanation:
The sum of twenty using numbers 0 - 9
where each row and column sum up to 20
2 4 6 8
4 2 6 8
6 6 4 4
8 8 4 0
when you sum up each of the row or each of the column the sum = 20
given that the diagonals are not included the sum of diagonals > or < 20
What is the equation of the line that passes through (4, 3) and (-4,-1)?
Answer:
[tex]\implies y = \dfrac{1}{2}x + 1 [/tex]
Step-by-step explanation:
Given :-
Two points (4,3) and (-4,-1)And we need to find out the equation of the line passing through the given two points .So here we can use the two point form of the line as ,
[tex]\implies (y - y_1) = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1) [/tex]
Let us take that ,
[tex](x_1,y_1)=(4,3) [/tex][tex](x_2,y_2)=(-4,-1)[/tex]Now substitute the respective values ,
[tex]\implies (y -3) =\dfrac{3+1}{4+4}(x-4) \\\\\implies y - 3 =\dfrac{4}{8}(x-4) \\\\\implies y -3=\dfrac{1}{2}(x-4) \\\\\implies y -3=\dfrac{1}{2}x - 2 \\\\\implies y = \dfrac{1}{2}x +3-2\\\\\implies y = \dfrac{1}{2}x + 1 [/tex]
Hence the correct option is (2) .
male female eats oysters 205 113 does not eat oysters 98 322 what is the probability that one of the people chosen from this survey was a female and does not eat oysters could someone explain?
Answer:
322 /738 ; 0.436
Step-by-step explanation:
__________________ M____ F__
Eat oysters ________ 205 __ 113
Does not eat oysters _ 98 __ 322
Probability of choosing a female and does not eat oysters :
Number of (F n Does not eat oyster) = 322 (from table)
Total number of sample : (205+98+113+322) = 738
Hence,
Probability of choosing a female and does not eat oysters ;
Number of (F n Does not eat oyster) = 322 (from table) / total number of samples
= 322 / 738
= 0.436
What inverse operation is used to solve the equation?
2x=10
Addition Property: add 2 to both sides
Division Property: divide both sides by 2
Multiplication Property: multiply both sides by 2
Subtraction Property: subtract 2 from both sides
Answer:
Division Property: divide both sides by 2
Step-by-step explanation:
[tex]2x = 10[/tex]
[tex] \frac{2x}{2} = \frac{10}{2} [/tex][tex]x = \frac{10}{2} [/tex][tex]x = 5[/tex]
Hope it is helpful....Jane will rent a car for the weekend she can choose one of the two plans the first plan has an initial fee of $42 in cost of additional $.12 per mile driven the second plan has an initial fee of $55 in cost additional seven cents per mile driven
Answer:
260m
$73.2
Step-by-step explanation:
For what amount of driving do the plans cost the same?
What the cost when the two plans cost the same?
first plan = 42 + 0.12m
second plan = 55 + 0.07m
42 + 0.12m = 55 + 0.07m
collect like terms
55 - 42 = 0.12 - 0.07m
13 = 0.05m
m = 260
42 + 0.12(260) = 73.2
Ahmad picked up a toy with a mass of 7/12 kilograms. Then picked up another of 1/12 kilograms. What's the total Write your answer as a fraction in simplest form
Answer:
2/3
Step-by-step explanation:
7/12+1/12=8/12
8 / 4 2
12 / 4 3
Final answer 2/3
If tan0 = 3/4, find sin0
Answer:
b
Step-by-step explanation:
Answer:
[tex]\text{b. }\sin \theta =\frac{3}{5}[/tex]
Step-by-step explanation:
In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. If [tex]\tan \theta =\frac{3}{4}[/tex] as given in the problem, then the opposite side of angle theta is 3 and its adjacent side is 4. Thus, the hypotenuse of the triangle must be [tex]h=\sqrt{4^2+3^2}=\sqrt{25}=5[/tex].
The sine of an angle in a right triangle is equal to its opposite side divided by its hypotenuse. Therefore, [tex]\sin \theta =\frac{3}{5}[/tex] (o/h).
heyy! i’ll give brainliest please help.
Answer: the first one :-)
Step-by-step explanation:
Answer: A,
Step-by-step explanation:
they aren’t talking about one day, so that excludes b anc c, and they aren’t talking about predicting weather, so it’s not d, and has to be A
What is the length of the missing side of the triangle? The figure is not drawn to scale.
15
9
08
06
O 24
O 12
Answer:
Step-by-step explanation:
add all the numbers together to get your answer and divide it by two.
Answer:
Hello! answer: 12
Step-by-step explanation:
Assuming this is the Pythagorean theorem we would usually solve for c but c is already found so we have to work backwards so... 15 × 15 = 225
9 × 9 = 81 225 - 81 = 144 √144 = 12 therefore 12 is the answer Hope that helps!
PLEASE HELP ASAP WILL GIVE BRAINLY
What is the median of the data set represented by the dot plot?
if x=5,then3x+4x-15 equals
Answer:
20
Step-by-step explanation:
PLZZZZ HELP AMEDIENTLY
A researcher places a radio advertisement offering $32 in exchange for participation in a short study. The researcher accepts the first nine people who respond to the advertisement. Which of the following statements is true about the sample?
It is a valid sample because the first nine people were selected to participate.
It is not a valid sample because it is not a random sample of the population.
It is a valid sample because money was offered to participants.
It is not a valid sample because it is only a short study.
Answer:
I am not sure if I am right, but in my opinion, it is a valid sample, since they are participating and getting paid, so I would personally go for the third option, but the decision is on you.
Dana rasied the score on a video game from 300 points to 390 points. By what percentage did Dana raise the score?
Answer: 30%
Step-by-step explanation:
First find the difference between the old score and the new:
= 390 - 300
= 90 points
To find the percentage increase, divide the difference by the original score:
= 90 / 300
= 30%
i need some help lol so um new to learning on algebra and my teach not doing to good on explaining. so here is my problem to solve If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?
Answer:
3 x 5 + 5 x 3 would be equal to 30
Step-by-step explanation:
Values equal to -4/5
Answer:
-0.8, -8/10
Step-by-step explanation:
(a)Find an angle between 0° and 360° that is coterminal with 865° .
(b) find an angle between 0 and 2π that is coterminal with 33π/10 .
Answer:a.215
I don't know in letter b.
#CaRRyOnLeArniNG
help plssssss!!!!!!!
There was 1/3 of a box of cereal left four brothers shared it evenly write an equation to represent this problem
Answer:
1/12
Step-by-step explanation:
It is given that :
Amount of cereal left = 1/3 of a box
Number of people amongst whom the box of cereal is to be divided equally = 4
Therefore, an equation representing this problem is :
[tex]$\frac{1/3}{4} = x$[/tex]
where x = is the amount of the share each brother gets.
Therefore solving the equation, we get :
[tex]$\frac{1/3}{4} = x$[/tex]
[tex]$\frac{1}{3} \times \frac{1}{4} = x$[/tex]
[tex]$\frac{1}{12}=x$[/tex]
So, each brother got 1/12th of the cereal left.
Max brought $20 to the arcade. Each arcade game cost $1.25 to play. He used $6.50 to buy snacks. Which of the following inequality equations below shows the greatest number of arcade games Max can play with the money he brought?
A. 1.25g - 6.50 > 20
B. 1.25g + 6.50 > 20
C. 1.25g + 6.50 < 20
D. 1.25 - 6.50g < 20
Answer:
B
Step-by-step explanation:
can someone please help me :)
Which of the following statements are true (there may be more than one)
A.Angles 1 and 2 are adjacent angles
B.Angels 2 and 4 are adjacent angles
C.Angles 2 and 3 are vertical angles
D.Angles 1 and 3 are vertical angles
Step-by-step explanation:
The answer to this question is D.
24 + _ = 120 * 3 what is the answer
Answer:
336
Step-by-step explanation:
120*3 is 360.
360= 24 + ___
360-24 is 336
Answer:
432
Step-by-step explanation:
24+__=120
144*3
=432
Hope This Helps, Have a great day!
You are planning to build a walkway that surrounds the area of a rectangular garden. The width of the walkway around the
garden is the same on every side. Which of the following polynomials represents the total area of the garden and
walkway?
Answer:
B. (2x + 10)(2x + 9)
Step-by-step explanation:
Length (L) of the garden and walkway = x + 10 + x = (2x + 10) ft
Width (W) of the garden and walkway = x + 9 + x = (2x + 9)
Area of the garden and walkway = area of rectangle = L*W
= (2x + 10)(2x + 9)
The polynomial representing the total area of the garden and walkway = (2x + 10)(2x + 9)
help me please and thank you
Answer:
7pi/6
Step-by-step explanation:
30 degreees = pi/6
180 degrees = pi, or 6pi/6
180 + 30 = 7pi/6
A train travels a total of 67 km at a constant speed of 110 km/h.
How long is its journey? Give your answer in minutes and seconds, to the nearest second.
Answer:
36 m 32 s
Step-by-step explanation:
67 /110 = 0.609 hour
0.609 × 60 minutes = 36.54 minutes
36 minutes + 0.54×60 second
= 36 minutes 32 seconds
Answer:
36 mins 32 secs
Step-by-step explanation:
PLEASE HELP ME WITH A PROBLEM (no links I will report if any) will give brainilest to correct answer
Answer:
83 ounces
Step-by-step explanation:
2 lb 11 oz + 2 lb 8 oz = 4lb 19oz
REMEMBER: 1 pound = 16 oz
4 lb x 16 = 64 oz
64 oz + 19 oz = 83 oz
Calculate the distance of line segment AB.
AB²=AC²+BC² <=> AB²=10²+24²=100+576=676 <=> AB=√676=26 => x=26