Since Carolina bought 5 crates that cost c dollars each one,we have the expresssion:
\(5c\)she also bought a leash that costs $20, then:
\(5c+20\)finally,we have that she spent $475 in total, thus:
\(5c+20=475\)How many ways can steve select a song
Using the combination formula, it is found that there are 3300 ways to choose the songs.
The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?
��,�Cn,x is the number of different combinations of x objects from a set of n elements, given by:
��,�=�!�!(�−�)!Cn,x=x!(n−x)!n!
For the rock songs, we have three from a set of eleven, hence:
�11,3=11!3!8!=165C11,3=3!8!11!=165
For the alternative songs, we have four from a set of five, hence:
�5,4=5!4!1!=5C5,4=4!1!5!=5
For the rap songs, we have three from a set of four, hence:
�4,3=4!3!1!=4C4,3=3!1!4!=4
Since the songs are independent, the total number of ways is given by:
�=165×5×4=3300T=165×5×4=3300
hope this helps you
Using the combination formula, it is found that there are 3300 ways to choose the songs.
The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?
��,�Cn,x is the number of different combinations of x objects from a set of n elements, given by:
��,�=�!�!(�−�)!Cn,x=x!(n−x)!n!
For the rock songs, we have three from a set of eleven, hence:
�11,3=11!3!8!=165C11,3=3!8!11!=165
For the alternative songs, we have four from a set of five, hence:
�5,4=5!4!1!=5C5,4=4!1!5!=5
For the rap songs, we have three from a set of four, hence:
�4,3=4!3!1!=4C4,3=3!1!4!=4
Since the songs are independent, the total number of ways is given by:
�=165×5×4=3300T=165×5×4=3300
hope this helps you
Ullany TVd How much 20k stamps can #2.00 buy
Answer: 4000
Step-by-step explanation:
help fast please.........................
The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)
What are angles on parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;
They can be;
supplementary
alternate exterior
alternate interior
vertically opposite
and corresponding
The property between angle 3 and angle 6 is that they are alternate interior to each other.
Therefore angle 3 and angle 6 are alternate interior angles.
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ILL GIVE BRAINLIEST!! 1/6 of a ton of hay costs 4/5 of an eagle. How many eagles does 2/3 of a ton of hay cost?
Answer: Find out how many eagles per ton hay costs:
(4/5 eagle)/ 1/6 ton = 6/1 * 4/5 = 24/5 = 4.8 eagles per ton
THEN 2/3 ton would cost:
2/3 ton * 24/5 eagles/ton = (24*2) /(5*3) = 48/15 = 16/5 = 3.2 eagles
Step-by-step explanation:
Select the interval(s) where the function is increasing:
f(x) = x ^ 4 - 5x ^ 2 - 3
(- 9.3, - 3)
(- ∞,- 1.5)
(0, 1.5)
(-1.5, 0)
(1.5, ∞)
(-∞, ∞)
(-9.3, ∞)
PLEASE FAST
What is the equation of the line containing the paints A and B?
a) y = - 3x + 4
b) y = 1/3x + 4
c) y = 3x + 4
d) y = - 1/3x + 4
The equation of the line containing the paints A and B is y = -1/3x + 4
How to determine the linear equation that represents the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(6, 2) and (0, 4)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 4
Using the other points, we have
6m + 4 = 2
So, we have
6m = -2
Evaluate
m = -1/3
So, we have
y = -1/3x + 4
As an equation, we have
y = -1/3x + 4
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what is the best estament of 12762
Answer:
13,000
Step-by-step explanation:
12,762 is close to 13,000 than 12,000
Hopefully this helps you :)
pls mark brainlest ;)
Please answer correctly, free brainliest
Answer:
5x-3
Step-by-step explanation:
^^
Answer:
the answer is 5x-3,
because there is (5 times x) and (3 times -1), which equals
5x + (3 * -1), or 5x-3
Decrease £110 by 50%
Answer:
£55
Step-by-step explanation:
50% is just another way to say 1/2. This means that 1/2 of £110 is £55.
Question 9 of 10
What is the product of the following numbers? Use a scientific calculator to
find the answer.
5.56 x 104 x 2.43 x 106
A. 2.23 x 10-2
OB. 1.97 x 10²1
C. 1.35 × 1020
OD. 1.35 x 10¹1
30 POINTS
The results of a poll show that the percent of people who want a new restaurant is in the interval (62%, 88%). There are 109,482 people in the city. What is the interval for the number of people who are likely to want this restaurant in their city? Round to the nearest person. Enter your answer in the boxes.
Answer: (26996, 42744)
Step-by-step explanation: N/A
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
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Question 1 (1 point)
In the context of elevation, what would | -7 | feet mean?
O a
O b
Oc
Od
The vertical distance between the point at 7 feet and sea level (0 feet).
The vertical distance between the point at -7 feet and sea level (0 feet).
The horizontal distance between the point at 7 feet and sea level (0 feet).
The horizontal distance between the point at -7 feet and sea level (0 feet).
The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet)
What is elevation?
The elevation is the height of an object or point above a given reference point, usually sea level. It is often used to describe the height or altitude of a geographic location, such as a mountain peak or a city, and is commonly measured in feet or meters.
In the context of elevation, | -7 | feet would mean the vertical distance between the point at -7 feet and sea level (0 feet).
The vertical distance between two points is calculated by taking the absolute value of the difference between their elevations. So, in this case, the absolute value of -7 is 7, which means the point is 7 feet below sea level.
The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet).
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Which of the following expressions can you multiply using the FOIL Method? Check all that apply
3x(2x^2+5x-4)
(x-1)(x^2+2x*5)
(6x-5)(x+4)
(x+g)(x-h)
Answer:
Option C
Step-by-step explanation:
m(x)=x2+4x n(x)=x
(mn)(x)=
A.) x2+4x(x)
B.) (x2+4x)(x)
Answer:
b is correct
Step-by-step explanation:
The product of the functions M(x) and n(x) is x³+ 4x².
To find the product of the two functions, M(x) = x² + 4x and n(x) = x, we need to multiply them together.
So, (mn)(x) = M(x) × n(x)
Substituting the given functions:
(mn)(x) = (x² + 4x) × x
Now, we can simplify the expression by applying the distributive property of multiplication:
(mn)(x) = x × x² + x × 4x
Simplifying further:
(mn)(x) = x³ + 4x²
Therefore, the product of the functions M(x) and n(x) is x³+ 4x².
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4/7 of the length of a car ride is 8 miles. How many miles is the whole car ride ?
hi
4/7 = 8
7/7 = ?
so ? = 7/7 * 8 /4/7 = 8/4/7 = 8 *7/4 = 4*2*7 /4 = 2*7 = 14
so whole thing is 14
let's check : 14 * 4/7 = 56/7 = 8
Match initial data. answer is correct.
Looking at the equation y=(x+3)^2-4, determine which direction in which the parabola is open.
up
down
left
right
link/random words or letters as answer = report
Answer:
parabola opens up
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then parabola opens up
• If a < 0 then parabola opens down
y = (x + 3)² - 4 ← is in vertex form
with a = 1
Since a > 0 then parabola opens up
g (x)=√-3x+6
Look at photo please
Answer:
\((-\infty,2)\)
Step-by-step explanation:
Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).
In a class of 25 students, 11 students participate in extra-curricular activities. Suppose 3 students are randomly selected to be on the student representative council. Find the probability that at least two students selected for the council also participate in extra-curricular activities.
Find the value of angle W
Answer:
w = 73°
Step-by-step explanation:
The relations involved in solving this figure are ...
linear pairs are supplementarythe angle sum for the quadrilateral is 360°__
The linear pair at lower left gives us a relation we can solve for x:
x +(3x -24) = 180
4x = 204
x = 51
Then the sum of angles inside the quadrilateral is ...
w +(x +15) +(2x -10) +(3x -24) = 360
w +(51 +15) +(2(51) -10) +(3(51) -24) = 360
w +66 +92 +129 = 360
w = 360 -287 = 73
Angle W is 73°.
_____
Additional comment
The remaining angles are supplementary to those inside the quadrilateral:
v = 180° -w = 107°
y = 180° -92° = 88°
z = 180° -66° = 114°
x = 51°
help now i will mark a brainlest
Answer:
71,576,960
Step-by-step explanation:
I hope that helps
Answer:71,576,960
Step-by-step explanation:
The original price was $12, increased to $15. Find the percent increase
Answer:
25%
Step-by-step explanation:
Take the new price and subtract the original price
15-12 = 3
Divide by the original price
3/12 = .25
Multiply by 100%
25%
The percent increase is 25%
Circle O shown below has an arc of length 6 inches subtended by an angle of 113°Find the length of the radius, x, to the nearest tenth of an inch.
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
\(\begin{gathered} Length\text{ of Arc = }\frac{\theta}{360^0}\text{ x 2 }\pi\text{ r} \\ Here,\text{ Arc of length = 6 inches} \\ Radiu\text{s = x} \\ \theta\text{ = 113}^0 \end{gathered}\)\(\begin{gathered} 6\text{ = }\frac{113^0}{360^0}\text{ x 2 x }\pi\text{ x \lparen x\rparen} \\ cross\text{ - multiply, we have that:} \\ 6\text{ x 360 = 113 x 2 x }\pi\text{ x \lparen x\rparen} \\ Making\text{ x the subject of the formulae, we have that:} \end{gathered}\)\(\begin{gathered} \text{x =}\frac{6\text{ x 360}}{113\text{ x 2 x }\pi} \\ x\text{ = }\frac{2160}{709.9999397} \end{gathered}\)\(\begin{gathered} x\text{ = 3.042253779} \\ x\text{ }\approx\text{ 3.0 inches \lparen to the nearest tenth of an inch \rparen} \end{gathered}\)CONCLUSION:
The length of the radius, x, ( to the nearest tenth of an inch) = 3.0 inches
1248 buttons 8 contains how many buttons will go into each contain
\(1248 \div 8 = \)
Answer:
156 buttons in each container
Step-by-step explanation:
\( \frac{1248}{8} = 156\)
What is 2^2—3^2 simplifyed (I hope u all can understand how I typed it)
The expression is:
\(\frac{2^2}{3^2}\)So:
\(a^2=a\cdot a\)It means that the expression is equal to:
\(\frac{2^2}{3^2}=\frac{2\cdot2}{3\cdot3}=\frac{4}{9}\)The simplified expression is 4/9
The annual membership fee at a local club is $100. After each year of membership, the fee is lowered by $8 a year. The
arithmetic sequence {100, 92, 84,...) models this situation.
Write an explicit function that describes the fee at the club after n years of membership. Then rewrite your function in the
slope-intercept form.
Answer:
y = 100 - 8(n - 1)
Step-by-step explanation:
I. if n = 1 or 1st year = 100 - 8(1-1) is 100
if n = 2 or 2nd year = 100 - 8(2-1) is 92
if n = 3 or 3rd year = 100 -8(3-1) is 84
Hope it'll help.
I WILL GIVE BRAINLIEST FOR CORRECT ANSWER. Explain how to use the distributive property to find the product (3) ( 4 1/5 ) .
Answer:
3x4 then you do 3x1/5 because youre distibuting to all numbers in this case multiplecation
Step-by-step explanation:
James has a job moving lawns during the summer. Suppose the formula for calculating the number of hours he will have to work each week is five times the difference of thirty-eight and three times the difference of fifteen and four hours. How many hours will James have to work each week?
Please help me with the formula
The number of hours that James have to work each week will be 25 hours.
How to calculate the number of hours?The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge.
In this case, James has a job moving lawns during the summer. Suppose the formula for calculating the number of hours he will have to work each week is five times the difference of thirty-eight and three times the difference of fifteen and four hours.
The number of hours that James have to work each week will be:
= 5(38) - 3(15 - 4)
= 5(38) - 3(11)
= 5(38 - 33)
= 5 × 5
= 25 hours
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A multiple regression model with four explanatory variables is estimated using 25 observations resulting in SSE = 660 and SST = 1,000. The value of adjusted R2 is the closest to Multiple Choice o 0.79 o 0.21 o 0.66
The value of adjusted R^2 is the closest to 0.66. So the option d is correct option.
In the given question,
A multiple regression model with four explanatory variables is estimated using 25 observations.
SSE = 660 and SST = 1,000.
We have to find the value of adjusted R^2.
We know ,
R^2 = SSE/SST
R^2 = 660/1000
R^2 = 0.66
and, we know ,\(R_{adj}^2 \ngtr R^2\) and should be close to R^2.
So, adjusted R^2 should be close to 0.66.
Note :
\(R^2_{adj}\) = 1- (n-1)/(n-p-1) (1-R^2)
where , n = no. of observations and p = no. of independent variables .
So, \(R^2_{adj}\) = 1- (24)/(20) (1-0.66)
\(R^2_{adj}\) = 0.592 which is close to 0.66.
Hence, the value of adjusted R^2 is the closest to 0.66. So the option d is correct option.
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The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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