To change words into equations, we can recognize keywords that translate into operations and/or numbers:
quotient = dividea number/the number/two numbers = variables sum = addSolving the QuestionLet the two numbers be a and b.
We're given:
quotient of a and b is 3First, isolate a in the first equation and substitute it in the second equation to solve for b:
[tex]\dfrac{a}{b}=3\\\\a=3b[/tex]
[tex]a+b=8\\3b+b=8\\4b=8\\b=2[/tex]
Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for a:
[tex]a+b=8\\a+2=8\\a=6[/tex]
Therefore, the other number is 6.
AnswerThe two numbers are 2 and 6.
Find the distance between the two given points:
(-5,-2);(-6, -6)
A jar contains 100 gumballs. There are 40 blue gumballs, 3 green gumballs, 27 red gumballs, and 30 yellow gumballs. What is the probability of randomly selecting a red gumball?
Answer:
27%
Step-by-step explanation:
Red gumballs / total = 27/100 = 27%
Pls help me with this i am giving 50pts out
please help what is the effect on the graph of the parent function f(x) = x when f(x) is replaced with 4f(x)
A function assigns the values. When in the function f(x)=x, f(x) is replaced by 4f(x), the slope of the function reduces by a factor of 4.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function f(x) is equal to x. If f(x) in the given function is replaced with 4f(x), then the result will be,
[tex]4f(x) = x\\\\f(x)=\dfrac{x}4 \\\\ f(x) = \dfrac14 \times x[/tex]
Hence, when in the function f(x)=x, f(x) is replaced by 4f(x), the slope of the function reduces by a factor of 4.
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which shows equation?
eeeeeehelpmeeeeeeeeeee value of x and y
Step-by-step explanation:
As we can see x and 70° is alternate with each other so it can be name as alternative angle ....
Alternative angle are always equal....So .....
x = 70° ( being alternative angle )
Now....we can see that y and x is vertically opposite ....so it can be name as vertically opposite angle....
y = x ( being vertically opposite angle )
y = 70°
log64n=−31
step bye step on how to solve this
Find the mean of the data set: 5, 19, 11, 3, 21, 9. (Round your answers to one decimal place, if necessary.)
Answer:
11.33
Step-by-step explanation:
Add all of the numbers together, then divide them by the number of numbers (6)
Cyclone filled 250 bottles of water to give people in the park. he handed out 40 bottles of water each hour he had 10 bottles left how many hours has cyclone been at the park
Find the horizontal and vertical shift of y=Sqrt x+2-3
Answer: Left 2, Down 3
Step-by-step explanation:
[tex]y=\sqrt{x+2}-3[/tex]
To find the horizontal shift, set the values under the root equal to 0
x + 2 = 0
x = -2
This means the functions is shifted left 2 units
To find the vertical shift, look at the -3
This means the graph is shifted down 3 units.
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 154,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 5% each year. How many total fish did the company catch over the first 10 years, to the nearest whole number?
Answer:
77,000 fish in 10 years
Step-by-step explanation:
calculator
Write each expression with a single rational exponent. 1/x^-1
[tex]~\dfrac 1{x^{-1}}\\\\=\dfrac{x^0}{x^{-1}}\\\\=x^{0-(-1)}\\\\=x^{0+1}\\\\=x^1\\\\=x[/tex]
What is the value of x 2/3x+2=4
To solve for x, we can perform inverse operations to cancel values out.
For addition, we can do subtraction.For multiplication, we can do division.And vise versa.Eventually, we must isolate x to one side of the equal sign, or equation. That will give us its value.
Solving the Question[tex]\dfrac{2}{3}x+2=4[/tex]
⇒ First, isolate the x term by subtracting 2 from both sides:
[tex]\dfrac{2}{3}x=2[/tex]
⇒ Now, multiply both sides by 3 to get rid of the fraction:
[tex]2x=6[/tex]
⇒ Finally, divide both sides by 2 to isolate x:
[tex]x=3[/tex]
Answer[tex]x=3[/tex]
Answer:
x = 3
Step-by-step explanation:
[tex]\sf \dfrac{2}{3}x+2=4[/tex]
Subtract 2 from both sides.
[tex]\sf \dfrac{2}{3}x=4-2\\\\\sf \dfrac{2}{3}x=2[/tex]
Multiply both sides by 3.
[tex]\sf2x=2*3\\2x=6[/tex]
Divide both sides by 2.
[tex]\sf x=\dfrac{6}{2} \\\\\sf x=3[/tex]
Estimate the product of 67 x 23
by rounding to the nearest ten.
Answer:
1400
Step-by-step explanation:
67 rounds to 70 because 7 is bigger than 5 so it rounds up. 23 rounds down since 3 is smaller than 5.
So, 70x20=1400
A board is 86 inches long. How long is it in feet and inches?
Answer:
7 feet and 2 inches
Step-by-step explanation:
12 inches in a foot, which in the case of 86 we would have 7 feet 84 inches which leaves us with 2 extra inches hence 7'2"
Which of these is a dependent variable and which of these is an independent variable.
I did Jumping Jacks
I spent 1 minute on the jumping jacks
I did 68 Jumping jacks in 1 minute.
BRAINLIEST, A LIKE, 5 STARS, 100 POINTS
Answer:
I did jumping jacks
Step-by-step explanation:
conditioning exercise performed from a standing position by jumping to a position with our legs spread and arms raised and then to the normal position.
Answer:
I hope nothing
hope. it helps
HELP
1. (08.01) Two lines, A and B, are represented by the following equations:
Line A: y = -x + 4
Line B: y = -x + 4
Which statement is true about the solution to the set of equations? (4 points)
It is (1, 2).
There are infinitely many solutions.
It is (1, 5).
There is no solution.
Answer:
there is no solution since the equations are the same hence on trying to solve all variables will cancel out
The area of a circle is 9π in². What is the circumference, in inches? Express your answer in terms of \piπ.
Answer:
C = 6π in
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
the area (A) of a circle is calculated as
A = πr²
given A = 9π , then
πr² = 9π ( divide both sides by π )
r² = 9 ( take square root of both sides )
r = [tex]\sqrt{9}[/tex] = 3
then
C = 2π × 3 = 6π in
The circumference of the circle is C = 6π inches
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circumference of the circle be C
Now , the area of the circle be A = 9π inches²
where area of the circle = πr²
So , r² = 9
Taking square roots , we get
r = 3 inches
Now , the circumference C = 2πr
C = 6π inches
Hence , the circumference is 6π inches
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A living room set is discounted 1/3 of the price what percentage is the discount?
the answer will be 33.33% percent
A sail shaped like a right triangle is shown. : Find the unknown side length. Enter the correct answer in the box. : Do these lengths form a Pythagorean triple? PLEASE HELP ME ASAP!!
Answer:
5 feet
Step-by-step explanation:
AB^2=AC^2+BC^2
13^2=AC^2+12^2
AC^2=25
AC=5
2. Answer each of the following based on the scenario below.
Scenario: You bought a car this year for $13,000. Unfortunately your car loses 25% of
-
its value every year.
a.
Does this scenario represent exponential growth or decay? Decay
b. What is the initial value of your savings account?$13,000
aishof wolse Hadapterit
c. What is the growth/decay factor? 25
d. Create a function in exponential form that models how much your car will be worth after x
year.
f(x) =
e. After 3 years how much will your car be worth?
f. After 8 years how much will your car be worth?
correct, is Decay and the initial amount is 13000, rate is 25%
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^x\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &13000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ x=years \end{cases} \\\\\\ A=13000(1 - 0.25)^{x}\implies \boxed{A=13000(0.75)^x} \\\\\\ \stackrel{\textit{after 3 years}}{A=13000(0.75)^3}\implies A\approx 5484.38~\hfill \stackrel{\textit{after 8 years}}{A=13000(0.75)^8}\implies A\approx 1301.47[/tex]
hey can anyone help me find the area pls ty
Answer:
42 . 9 in^2
Step-by-step explanation:
Area of trapezoid average of two bases X height
area = ( 3.3 + 9.9)/2 * 6.5 = 42.9 in^2
Calculating the relative frequencies from the data given in the table. Choose all that correctly describe an association between favorite subject and grade.
A higher percentage of 8th graders than 7th graders prefer History.
A higher percentage of 7th graders than 8th graders prefer English.
A higher percentage of 8th graders than 7th graders prefer Math/Science.
The statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
We can find conditional relative frequency as:
For first cell:
= 38/116
= 0.327
= 32.75% (refer attached picture)
Similarly, we can find for other cells.
A higher percentage of 7th graders than 8th graders prefer English and History, while a higher percentage of 8th graders than 7th graders prefer Math/Science.
Thus, the statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.
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What is the area of the base of a cylinder with a volume of 2407 in.3 and a height of 16 inches?
Can someone PLS help me?
Answer:
15π in²
Step-by-step explanation:
Formula
V = πr²hSolving
240π = πr² × 16πr² (Area) = 15π in²Question 20
Mr. Stakur rolls a 20-sided die ten times. He rolls were 1,2,3,3,4,6,7,7,8, and 11,
Find the experimental probability Find the experimental probability of Norris rolling at least 10,
Was this higher or lower than what should have theoretically happened?
А
10 percent, Lower
B
20 percent, Higher
С
20 percent, Lower
D
10 percent, Higher
The correct option regarding the probability of rolling a number that is at least 10 is given by:
А 10 percent, Lower
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For the theoretical probability, it is calculated before any experiment. 11 out of 20 numbers are at least 10, hence it is given by:
pT = 11/20 = 0.55 = 55%.
For the experimental probability, we consider previous trials, in which one out of 10 resulted in a number that is at least 10, hence:
pE = 1/10 = 0.1 = 10%.
Which is lower than the theoretical probability, hence option A is correct.
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20 points. brianliest if you get it right, and my appreciation
Answer:
x = 17
Step-by-step explanation:
75° and (4x + 7)° are alternate angles.
75 = 4x + 74x = 68x = 17CORRECT ANSWER ONLY! I'LL GIVE BRAINLIEST!
Which graph represents the function f(x)= sqrt x − 2 - 2?
Answer:
the third fuction is the represents po
Step-by-step explanation:
and the next slide is the other one
Spencer bought 8 souvenirs during 2 days of vacation. How many days will Spencer have to spend on vacation before he will have bought a total of 12 souvenirs? Assume the relationship is directly proportional
Answer:
3 days
Step-by-step explanation:
hope u understand
newton watches a movie with his friends. they watch 50% of the movie and then takes a break. they then watch the remaining 65 minutes = how long was the movie
Answer:
130 minutes
Step-by-step explanation:
They watched 50% of movie, means 50% left unwatched
Remaining length = 65 minutes = 50% of movie
Movie length = 65 *2 = 130 minutes
What is the mean of 89, 73, 84, 91, 87, 77, 94
Answer:
85
Step-by-step explanation:
Mean = Sum of the terms / Number of terms
Mean = 89 + 73 + 84 + 91 + 87 + 77 + 94 / 7Mean = 595/7Mean = 85