Answer:
Option C is correct.
Step-by-step explanation:
In option C, the fractions are on one side and the constants are on the other. The fractions also have the same denominator. So, Option C is correct.
The second of three numbers is 5 times the first. The third number is 3 more than the second. If the second is decreased by twice the third, the result is -21. Find the Three numbers
Answer:
tag archives and records and counting the days
Answer:
1st number is 6
2nd number is 30
3rd number is 33
Step-by-step explanation:
Let x be the first number.
The second of three numbers is 5 times the first = 5x
The third number is 3 more than the second = 5x + 3
If the second is decreased by twice the third, the result is -21.
Multiply the third number by 2.
2(5x + 3)
= 10x + 6
Subtract the second number to it.
(5x)-(10x + 6) = -21
-5x - 6 = -21
Use APE or Addition Property of Equality
-5x = -21 + 6
-5x = -15
Use DPE or Division Property of Equality to get the value of x
[tex]\frac{-5x}{-5} = \frac{-15}{-5}[/tex]
x = 3
Now put the value of x in the equation
first number(x) = 6
second number(5x) = 5(6) = 30
third number(5x + 3)
5(6) + 3
30 + 3 = 33
Consider the steps to solve the equation.
2
5
(
1
2
y + 20 ) −
4
5
=
9
20
(2y − 1)
Distribute:
1
5
y + 8 −
4
5
=
9
10
y −
9
20
What is the next step after using the distributive property?
A. Use the multiplication property of equality to isolate the variable term on one side of the equation.
B. Use the multiplication property of equality to isolate the constant on one side of the equation.
C. Combine the like terms on the right side of the equation.
D. Combine the like terms on the left side of the equation.
Answer:
The answer is D
Step-by-step explanation:
D
If
x
=
2
and
y
=
6
, evaluate the following expression:
2
(
y
−
x
)
Answer:
8
Step-by-step explanation:
x =2, y=6
2(y-x)
#subsitute the variables with their values
2*(6-2)
2*4
8
Alternative(don't do it this way, it's unnecessary but it can be done):
x =2, y=6
2(y-x)
2y - 2x
(2*6) - (2*2)
12 - 4
8
What is the probability that client A, the newborn you’re considering for a 30-year policy, lives to be 30 years old? Client A is a non-Hispanic white male, so look in table 14.
Using the probability concept, it is found that there is a 0.97555 = 97.555% probability that client A lives to be 30 years old.
A probability is the number of desired outcomes divided by the number of total outcomes, that is:
[tex]p = \frac{D}{T}[/tex]
In this problem:
Out of 100,000 clients, 97,555 lives to age 30, hence [tex]D = 97555, T = 100000[/tex]Then:
[tex]p = \frac{D}{T} = \frac{97555}{100000} = 0.97555[/tex]
There is a 0.97555 = 97.555% probability that client A lives to be 30 years old.
A similar problem is given at https://brainly.com/question/25790531
Answer: The answer is 0.97424
Step-by-step explanation: The other answer... the math is correct, its just that they have read the source table incorrectly.
Age
29-30 = 97,555
30-31 = 97,424
The correct row is 30-31.
97,424 / 100,000 = 0.97424
You can tell this is the case because look at row 0-1.. its a 100% chance of survival. If you read that row as a '1 year old' then 100% of all people survive until they turn 1? Alas, no, this is not true :(
Simplify.
81‾‾‾√
18
9
−3
−18
9514 1404 393
Answer:
(b) 9
Step-by-step explanation:
Maybe you want to simplify ...
[tex]\sqrt{81}=\sqrt{9^2} =\boxed{9}[/tex]
problem referred below
Answer:
?? i don't know the answer
PLEASE HELP the information is below
Answer:
yellow: x=6
red: y=4
blue: y=-2
Step-by-step explanation:
Please find the correct answer I will give brainliest and 4 stars.
Answer:
you're correct
Evaluate 4c - 3
When c = -2
Answer:
-11
Step-by-step explanation:
Answer: -5
Step-by-step explanation:
4*-2=-8
-8 -3=-5
Which point represents
−
(
−
4
)
−(−4)minus, left parenthesis, minus, 4, right parenthesis on the number
Answer:
C
Step-by-step explanation:
-(-4)
so -×- becomes +
so -(-4)= 4
Answer:
No the answer is D
Step-by-step explanation:
-2
pls help!! please tell what the independent and dependent variables are, and a function that describes the situation. I will give brainly to whoever answers these!
Step-by-step explanation:
Part A:Given the entry fee of $35, the additional hourly rate of $5, and the total cost of $60:
The independent variable in this given problem is the number of hours, while the dependent variable is the total cost.
An easier way to understand these concepts is to realize that the total cost depends on the number of hours you spend at the Snow Play Ski Park. The total cost changes by $5 for every hour you spend at the park.
The $35 entry fee is the constant, or the y-intercept. It is the initial cost that you have to pay given the 0 number of hours spent at the park.
Part B:The function that represents the given situation is:
C(x) = 5x + 35
In order to determine how long can you be at the Snow Play Ski Park, substitute $60 as C(x) into the function:
C(x) = 5x + 35
60 = 5x + 35
Subtract 35 from both sides:
60 - 35 = 5x + 35 - 35
25 = 5x
Divide both sides by 5 to solve for x:
[tex]\frac{25}{5} = \frac{5x}{5}[/tex]
x = 5
Therefore, if you have $60, then you can be at the Snow Play Ski Park for up to 5 hours.
Note:
Please feel free to change the letter that represents the function to f ( x ) for Part B, if needed.
Like always, I need help :(
Answer:
The equation of the line is: x = 0
Dr. Smith can see 12 patients in 2 hours. At this rate, how long would it take him to see 96 patients?
OA. 576 hours
Step-by-step explanation:
set up a proportion
12 patients. 96 patients
---------------- = ------------------
2 hours. ?
96 • 12 = 1152
1152 ÷ 2 = 576 hours
Answer:
16hours
Step-by-step explanation:
12=2
96=x
crossmultiply
12x=192
x=192÷12
x=16
A chemist has three different acid solutions. The first acid solution contains 20 % 20% acid, the second contains 30 % 30% and the third contains 60 % 60% . They want to use all three solutions to obtain a mixture of 90 90 liters containing 35 % 35% acid, using 2 2 times as much of the 60 % 60% solution as the 30 % 30% solution. How many liters of each solution should be used
Answer:
Step-by-step explanation:
37,4gam
10% markdown of $543.20
Answer:
5.Math is a very different one that
Ok
The ratio of bluebirds to robins is 3 to 2.
Express this ratio using colon symbol (:). Enter your answer in the box.
Instruction: Write your answer without any space(s).
Answer:
The answer would be 3:2, hope it helps
Simple Arcs and Sectors question attached. First person to answer correctly gets 50 points. Good Luck!!
Step-by-step explanation:
a=12/56°
b=14/65°
c=238°
A number n is a prime factor of 28 and 63
Answer:
7
Step-by-step explanation:
The factors of 28 and 63 are
28 : 1, 2, 4, 7, 14, 28
63 : 1, 3, 7, 9, 21, 63
The common factors are 1 and 7
7 is a prime factor of both 28 and 63
What is the length of the unknown leg in the right triangle?
Answer:
a is 20 cm long
Step-by-step explanation:
I used a triangle solver to get that length, sorry I can't actually prove it step by step
hope this helps!
Joshua borrowed $1000 from his friend and paid him back $1050 in six months. What simple annual interest did Joshua pay his friend?
Answer:
80 dollars is the correct answer
Answer:
Step-by-step explanation:
1050=1000(1+.5*i)
i= 10%
Yes, but on this site, how can I make sure that this answer is correct or wrong, please, I don't know?
Given: HG I HI, EI I HI ZEHI~= ZGIH
Prove: ∆GHI =~ ∆EIH
[tex]\red{\rule{45pt}{999999pt}}[/tex]
if line 1 has a slope of -4 and line 2 has a slope of 1/4, they are parallel
True
O False
it has been suggested that the percentage of drivers in the us that use a blinker when changing lanes is58% you plan to observe 50 cars during a lane change. What type of distribution could you use to determine the number of cars you will observe before finding a car the does not use a blinker during a lane change?
Since the number of trials is not fixed, an inverse binomial distribution is used.
For each car, there are only two possible outcomes, either they use a blinker during lane change, or they do not. The probability of a car using a blinker during lane change is independent of any other car, which means that the number of cars that do not use a blinker during a lane change is a binomial variable.
However, we are counting the number of trials until observing a car that does not use a blinker during a lane change, hence, it is an inverse binomial variable.A similar problem is given at https://brainly.com/question/25644451
5. A 32 foot tree casts a 60 foot shadow as shown below. A man next to the tree casts a 12 foot shadow. How tall
is the man? Justify your solution
Answer:
Step-by-step explanation:
The shadow length will be proportional to height
12 / 60 = h / 32
h = 12(32)/60 = 6.4 ft or 6 ft 4.8 inches
The ratio of flour to sugar in a recipe is 3 cups to 2 cups. If this amount makes 3 dozen
cookies, how many cups of sugar are required in order to make 24 cookies?
Answer:
10 cups
Step-by-step explanation:
The ratio of flour to sugar to make 3 dozen cookies is 3/2 then a total of 1.33 cups of sugar is required to make 24 cookies.
What is an arithmetic operation?Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given data provided in the question,
3 dozen = 12 × 3 = 36 cookies.
2 cups of sugar are required to make 36 cookies
Let x cup of sugar is required to make 24 cookies.
36 cookies = 2 cups
24 cookies = x cups
Cross-multiply both the equations above
x = (24 × 2)/36
x = 1.33 cups.
To know more about arithmetic operations:
https://brainly.com/question/13585407
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Calculate the volume of a cuboid whose dimensions are 3.6cm 8.2cm 11cm
Answer:
[tex] 324.72 {cm}^{3} [/tex]Step-by-step explanation:
Given,
Dimensions of a cuboid = 3.6cm, 8.2cm and 11cm
As we know,
Volume of a cuboid = length × breadth × height
Therefore,
Volume of the given cuboid
= 3.6cm × 8.2cm × 11cm
(On multiplying)[tex] = 3.6cm \: \times 90.2 {cm}^{2} [/tex]
(On further multiplying)[tex] = 324.72 {cm}^{3} (ans)[/tex]
Hello there! :)
V=lwh (length times width times height)
We are given that:
Length=3.6 cm
Width=8.2 cm
Height=11 cm
Plug the values into the formula for volume:
V=lwh
V=(3.6)(8.2)(11)
Multiply:
V=324.72 cm³ (cubic centimeters)
Remember, volume is measured in cubic centimeters.
Hope it helps. Please let me know if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature :)[/tex]
A family buys a studio apartment for $180,000. They pay a down payment of $27,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $9,000 down payment be
Answer:
down is $153000 while purchase price is $144000
Use a calculator to solve the following equation for θ on the interval [−π2,π2]. csc(θ)=−5 Select all correct answers.
[tex]csc(\theta )=-5\qquad -\frac{\pi }{2}<\theta <\frac{\pi }{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=-5\implies \stackrel{\textit{using the reciprocal of } csc(\theta )}{\cfrac{1}{sin(\theta )}=-5}\implies \cfrac{1}{-5}=sin(\theta ) \\\\\\ sin^{-1}\left( -\frac{1}{5} \right) = sin^{-1}[sin(\theta )]\implies sin^{-1}\left( -\frac{1}{5} \right) = \theta \implies \begin{array}{llll} -11.54^o\\ ~\hfill or\\ 348.46^o \end{array} \approx \theta[/tex]
The value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval [−π/2,π/2].
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
cosec(θ)=−5 for interval [−π/2,π/2].
We know Sinθ=1/cosecθ
Cosecθ=1/sinθ
Now cosec(θ)=−5
-5=1/sinθ
sinθ=-1/5
θ=sin⁻¹(1/5)
θ=sin⁻¹(1/5)
θ=-11.54⁰ or 348.86⁰
Hence the value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval [−π/2,π/2].
To learn more on trigonometry click:
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Need asapppppppp!!!!!
Answer:
122 degrees-
Step-by-step explanation:
[tex]m\angle {GOC}=m\angle{GOA}+m\angle{AOC}\\=32^\circ + 90^\circ\\=122^\circ[/tex]
Angle GOA is a vertical angle with angle DOE, so it has the same measure (vertical angles are congruent).
Angle AOC is a right angle because angle COE is a right angle.