Answer:
[tex]\large\boxed{14:2=20:\dfrac{20}{7}}[/tex]
Step-by-step explanation:
[tex]14:2=20:x\\\\\dfrac{14\!\!\!\!\!\diagup^7}{2\!\!\!\!\diagup_1}=\dfrac{20}{x}\\\\\dfrac{7}{1}=\dfrac{20}{x}\qquad\text{cross multiply}\\\\7x=(20)(1)\\\\7x=20\qquad\text{divide both sides by 7}\\\\x=\dfrac{20}{7}[/tex]
Is this a permutation or combination problem:
For a band camp, you can choose two or three roommates from a group of 25 friends. In how many ways can you choose?
Answer:
permutation is the correct one.
Reason: combination are used to calculate the number of possible selections of objects without regard to the order selected. "My fruit salad is a combination of apples, grapes, and bananas". No matter the order, it is still a fruit salad. - The friends cannot be repeated twice so it is not combination
Final answer:
The student needs to choose two or three roommates from a group of 25 friends for a band camp. It is a combination problem and the number of ways to choose can be calculated using the combination formula.
Explanation:
This is a combination problem. The student needs to choose two or three roommates from a group of 25 friends for a band camp. Since the order doesn't matter, it is considered a combination. To calculate the number of ways to choose, we use the combination formula.
The number of ways to choose two roommates can be calculated using the formula C(25, 2) = 25! / ((25-2)! * 2!), which simplifies to 300.
The number of ways to choose three roommates can be calculated using the formula C(25, 3) = 25! / ((25-3)! * 3!), which simplifies to 2,300.
What is the least common multiple (LCM) of 10 and 12?
Answer:
60
Step-by-step explanation:
Some people think this concept is confusing. Let's break it down. First, let's ask, what is a multiple?
We get a multiple of a number when we multiply it by another number other than zero. For example:
Multiples of 10: [tex]10, 20, 30, 40, 50, 60, 70, 80, 90, 100...[/tex]
Multiples of 12: [tex]12,24,36,48,60,72,84,96,108...[/tex]
The Least Common Multiple is the smallest multiple of the two numbers. The smallest multiple we see 10 and 12 have is 60.
WHAT IS 2(2X+5)-6(x+2) when simpified
Answer:
- 2x - 2
Step-by-step explanation:
Given
2(2x + 5) - 6(x + 2) ← distribute both parenthesis
= 4x + 10 - 6x - 12 ← collect like terms
= - 2x - 2
Which real number property is illustrated here? *
1 point
3* – 5 = – 5 * 3
o
Associative Property of Multiplication
O
Identity Property of Multiplication
Commutative Property of Multiplication
O
Commutative Property of Addition
Answer:
Commutative property of multiplication
Find the vertex of the function given below.
y = 3x2 + 6x +1
Answer: The coordinates of the vertex are : (-1,-2)
Step-by-step explanation: To find the x coordinate, we use the formula:
Xv = -b/2a = -6/(2.3) = -6/6 = -1
Replacing x by -1, we write:
y = 3. (-1)^2 + 6. (-1) +1 = 3 - 6 + 1 = -2
The vertex of the function will be (-1, -2)
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ y = 3x² + 6x + 1
Now,
Since, The function is,
⇒ y = 3x² + 6x + 1
By comparing with the standard form of a quadratic equation ax²+bx+ c , we get;
⇒ a = 3, b = 6 c = 1
Since, The x- coordinate of the vertex is,
⇒ x = - b/2a
Substitute all the values, we get;
⇒ x = - 6/2×3
⇒ x = - 6/6
⇒ x = - 1
And, Put x =- 1 in the function, we get;
⇒ y = 3x² + 6x + 1
⇒ y = 3(-1)² + 6(-1) + 1
⇒ y = 3 - 6 + 1
⇒ y = - 2
Thus, The value of vertex = (- 1, - 2)
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What is the image point of (9,8) after a translation right 4 units and up 2 units?
Answer:
(13,10)
Step-by-step explanation:
On the graph, all the points going right starting from 0, would be positive, and all points going up starting from 0 would be positive.
You should also know that going right would mean the x (which is 9 here) would get bigger; and the y (which is 4) going up would get bigger too.
So if you move (9,8) right 4 times 9 + 4 = 13, so now you have (13,8).
Then, you move (13,8) up 2 units, so 8+2 more units = 10, so then your final answer would be (13,10).
Hope this helped, sorry if its confusing I wasn't born to teach lol
The image point of (9, 8) is (13, 10), after the translation.
What is the required image point ?
In graphs, we know that the horizontal line is the x-axis, more we go right in that line, more positive values of x we get & in similar manner, more we go left, we get more negative values of x.
So, if we translate (9, 8), 4 units in the right, then we get larger value of x, i.e. 9+4=13 and the point becomes (13,8)
Also, the vertical line on a graph defined the y-axis, more we go up in that line, more we get positive values of y and more we go down that line, more we get negative values of y.
So, if we up the value of y 2 units, then the co-ordinate of y is 8+2 = 10
And the point becomes (13,10)
So, the required image point is (13,10)
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hello guys I need help with this multiple choice question <3
Answer:
fourth equation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2y + 3x = 8 into this form
Subtract 3x from both sides
2y = - 3x + 8 ( divide all terms by 2 )
y = - [tex]\frac{3}{2}[/tex] + 4 ← in slope- intercept form
with slope m = - [tex]\frac{3}{2}[/tex]
Parallel lines have equal slopes, thus
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 1) into the partial equation
- 1 = - 3 + c ⇒ c = - 1 + 3 = 2
y = - [tex]\frac{3}{2}[/tex] x + 2 ← equation of line
Please answer this asap for 15 pt
Answer:
Step-by-step explanation:
what is question that you whant my to answer
'Find the highest common factor of 32, 48 and 72. show your working'
please please help asap <3
Answer:
HCF(32,48,72) = 8
Step-by-step explanation:
We have ,
32 = 2×2×2×2×2 =
48 = 2×2×2×2×3 = 2⁴×3¹
72 = 2×2×2×3×3 = 2³×3²
Now,
HCF(32,48,72) = 2³ = 8
/* Product of the smallest power of each common prime factors of the numbers */
If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
Final answer:
To find the expression representing segment PS, we add the expressions for segments PR (4x - 2) and RS (3x - 5) to get PS as 7x - 7.
Explanation:
The question asks us to determine the expression that represents the segment PS given the expressions for segments PR and RS. PR is given as 4x - 2 and RS is given as 3x - 5. To find the length of PS, we add PR and RS because PS is the sum of PR and RS when they form a continuous line segment. Therefore, PS is (4x - 2) + (3x - 5). Simplifying this expression, we get PS as 7x - 7.
The PSU charges $2 for a package weighing up to 3 lbs, plus an additional fee of $0.15 per lb over 3lbs . what is the most a package can weigh that you plan to mail if you have 3 dollars ? (the nearest whole lb)
Which of the following expressions are equivalent to (6.2+6.2)+9.4(6.2+6.2)+9.4left parenthesis, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4? Choose 2 answers: Choose 2 answers: (Choice A) A 6.2 + (6.2 + 9.4)6.2+(6.2+9.4)6, point, 2, plus, left parenthesis, 6, point, 2, plus, 9, point, 4, right parenthesis (Choice B) B -(-6.2+6.2)+9.4−(−6.2+6.2)+9.4minus, left parenthesis, minus, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4 (Choice C) C -(6.2+6.2)+9.4−(6.2+6.2)+9.4minus, left parenthesis, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4 (Choice D) D 9.49.49, point, 4 (Choice E) E 6.2-(-6.2-9.4)6.2−(−6.2−9.4)
Answer:
6.2 + (6.2 + 9.4) ⇒ A
6.2 - (-6.2 - 9.4) ⇒ E
Step-by-step explanation:
your welcome i hope you pass <3
The equivalent expressions are Choice A: 6.2 + (6.2 + 9.4) and Choice C: -(6.2 + 6.2) + 9.4.
How did we arrive at this assertion?Let's break down the expressions to see how they are equivalent:
Original expression: (6.2 + 6.2) + 9.4
Choice A: 6.2 + (6.2 + 9.4)
This is the same as the original expression because the parentheses ensure that the addition of 6.2 and 9.4 is done first before adding it to the first 6.2.
Choice C: -(6.2 + 6.2) + 9.4
Here, we have a negative sign in front of the expression (6.2 + 6.2). When we add a negative sign, it's equivalent to subtracting the expression from 0. So, -(6.2 + 6.2) is the same as (-6.2 - 6.2), which is then added to 9.4. This is also equivalent to the original expression.
In both Choice A and Choice C, the final result is the same as the original expression: (6.2 + 6.2) + 9.4.
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Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the original price. Store B advertises that it is reducing the computer’s price by $180. When Brittany compares the sale prices of the computer in both stores, she concludes that the sale prices are equal. What is the computer’s original price? Write and solve an equation.
Let the price of the computer = X
Store A is selling it for 25% off, so they are selling it for 75% of the original price, so you have 0.75X
Store B is selling it for 180 less the original price, so you have X - 180
Now set both equations to equal and solve for x:
0.75x = X-180
Subtract 1X from each side:
-0.25x = -180
Divide both sides by -0.25:
x = -180 / -0.25
X = 720
The original price is $720
check:
720 x 0.25 = 180
The original price of the computer is $720, calculated by setting the 25% sale price equal to the flat $180 discount and solving the resulting equation.
Brittany wishes to determine the original price of a computer based on the sale prices from two different stores. Store A offers a 25% discount while Store B offers a flat $180 discount. To find the original price when the sale prices are equal, we set up an equation.
Let the original price be represented by x. The sale price at Store A is therefore x - 0.25x or 0.75x. At Store B, the sale price is x - $180.
To find the original price when the sale prices are equal, we set the equations equal to one another:
0.75x = x - $180
We solve the equation by subtracting x from both sides:
0.75x - x = -$180
-0.25x = -$180
Then we divide both sides by -0.25 to solve for x:
x = -$180 / -0.25
x = $720
Therefore, the original price of the computer is $720.
2a - 14 - 7b + 10
Select ALL coefficients from the expression above. I NEED AN ANWSER ASAP
its called be a smart kid and actually paying attention u downs syndrome idiot
Grade 6,7, and 8 at a middle school each have 180 students. The student council is throwing a school dance and they want to know what Theme to have for the dance. Since the student council cannot ask everyone they will Survey a group of students. Which sample can best help the council to draw conclusions about the preferences of all the students in the school.
A. 6 students from each grade
B. 25 students from each grade
C. 6 students from the entire school
D. 25 students from the entire school
I need help solving this equation does anybody know what x is? 5+x+(-2)=-8
Answer: x=5
Step-by-step explanation:
5+x+(−2)=−8
Simplify
5 + x - 2 = -8
x + 3 = -8
Subtract 3 to both sides
x + 3 - 3 = -8 +3
Simplify
x = -5
Answer:
x=-11
Step-by-step explanation:
5+x+(-2)=-8
x+(-2)=-13
x=-11
What is the slope of the line represented by the equation y = -x-3?
Answer:
(C) 1/3
Step-by-step explanation:
The slope intercept form: y = mx + b.
Note:
m = slope
b = y-intercept
x & y = (x , y) for the points.
You are trying to get the y-intercept of the following function given:
f(x) or y = (-2/9)x + (1/3)
1/3 is your answer, or (C), for 1/3 replaces the b inside the equation.
If you really need the slope, the slope of the following equation is (-2/9), which replaces the m inside the equation.
~
Can you give me the answer please
Answer:
-5
Step-by-step explanation:
because -3 + 3 = 0 and 1 + 4 = 5 so your answer is -5
[tex]\huge\boxed{-5}[/tex]
Let's write this out as an equation. [tex]-3+3+1+4+t=0[/tex]
We know that when all of the scores are added together, they equal [tex]0[/tex]. In this case, [tex]t[/tex] represent's Travis's score.
Add the known numbers together. [tex]0+1+4+t=0[/tex]
[tex]1+4+t=0[/tex]
[tex]5+t=0[/tex]
Now, subtract [tex]5[/tex] on both sides of the equation to isolate the variable. [tex]t=\boxed{-5}[/tex]
Solve the equation c2 = 4.
Answer:
C = 2
Step-by-step explanation:
[tex]2*2=4[/tex]
The required solution for the given equation c² = 4 is c = 2.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
c² = 4
Since factor 4 = 2 x 2
Therefore, 4 = 2 x 2 = 2²
So the given equation becomes,
c² = 2²
Taking square root both the side we get,
√c² = √2²
Therefore,
c = 2
which is the required solution of the given equation.
Thus, The required solution for the given equation c² = 4 is c = 2.
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Find the difference. –12 – (–21) = _____ –33 –9 33 9
Answer:
9Step-by-step explanation:
(-)(-) = (+)
(-)(+) = (-)
(+)(-) = (-)
(+)(+) = (+)
-(-21) = (-)(-21) = (+)21 = 21
-12 - (-21) = -12 + 21 use commutative property: a + b = b + a
= 21 + (-12) = 21 - 12 = 9
What is the slope of the line passing through the points (−1, 7) and (4, −1)?
−56
−2
−85
2
Hey!
------------------------------------------------
Formula: [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
------------------------------------------------
Steps To Solve:
~Substitute
[tex]m = \frac{-1 - 7}{4 - (-1)}[/tex]
~Simplify
[tex]m = \frac{-8}{5}[/tex]
------------------------------------------------
Answer:
[tex]\large\boxed{C)~\frac{-8}{5} }[/tex]
------------------------------------------------
Hope This Helped! Good Luck!
How do I write 1,948,447 In expanded notation
Answer:
Step-by-step explanation:1,000,000+900,000+40,000+8,000+400+40+7
What is the range of the function in this table?
|
|
24
3 | 3
4 | 2
recall that in a function, the output or f(x) or namely the dependent variable set is the range.
[tex]\bf \begin{array}{ccll} \stackrel{domain}{x}&\stackrel{range}{y}\\ \cline{1-2} 2&4\\ 3&3\\ 4&2 \end{array}\qquad \qquad \stackrel{\mathbb{RANGE}}{\{4,3,2\}}[/tex]
which whole number is closest to the value of square root of 54?
[tex] \sqrt{54} [/tex]
1. 6
2. 7
3. 8
4. 9
If A= (-1,-3) and B = (11,-8), what is the length of Ad?
Answer:
AB = 13Step-by-step explanation:
The formula of a distance between two points
[tex]A(x_1,\ y_1),\ B(x_2,\ y_2)\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points A(-1, -3) and B(11, -8).
Substitute:
[tex]AB=\sqrt{(-8-(-3))^2+(11-(-1))^2}=\sqrt{(-8+3)^2+(11+1)^2}\\\\=\sqrt{(-5)^2+12^2}=\sqrt{25+144}=\sqrt{169}=13\\\\\sqrt{169}=13\ \text{because}\ 13^2=169[/tex]
HELP will mark brainilest
The original price of a sound system is $1250. For one day only, the store is offering a frequent shopper discount of 35% on all merchandise. Which expressions can be used to find the discounted price of the sound system? Check all that apply.
0.35($1250)
$1250 + 0.35($1250)
0.65($1250)
$1250 – 0.35($1250)
Answer:
The answer to your question is $1250 - 0.35($1250)
Step-by-step explanation:
Look at these equations.
11 = 5 + a
a + 4 = b + 3
Use both equations to work out the value of b.
Pls Help
Bonjour cheese gateou! je help tes maths!
11=5+a
11-5=a
6=a
a + 4 = b + 3
a - b = - 4 + 3
a-b=-1
Merci beaucoup...
A 60-foot monument casts a 25-foot shadow. How long is the shadow of a 4.5-foot-tall person
Answer:
1.875 feet
Step-by-step explanation:
The length of the shadow is proportional to the height.
25 / 60 = x / 4.5
Cross multiply and solve:
60x = (25)(4.5)
60x = 112.5
x = 1.875
The shadow is 1.875 feet long.
Final answer:
The shadow of a 4.5-foot-tall person would be 1.875 feet long.
Explanation:
The shadow of a 4.5-foot-tall person would be 1.875 feet long.
First, set up a proportion using the given information: Height of monument / Length of its shadow = Height of person / Length of their shadow
Plug in the values: 60 / 25 = 4.5 / x
Solve for x to find the length of the person's shadow: x = (4.5 * 25) / 60 = 1.875 feet
300 students were surveyed. 240 completed the survey. What is the percentage of students surveyed
240 divided by 300 would be 0.8 multiply by 100 giving you 80. 80 percent.
To calculate the percentage of students who completed the survey, divide the number who completed it (240) by the total number surveyed (300) and then multiply by 100, yielding 80%.
Explanation:To find the percentage of students who completed the survey, we use the formula for calculating a percentage: (Number of Students Who Completed the Survey ÷ Total Number of Students Surveyed) × 100. In this case, it's (240 ÷ 300) × 100, which equals 80%. Therefore, 80% of the students surveyed completed the survey. This is a common type of problem in statistics that involves dealing with portions and percentages of a whole.
. In this case, 240 students completed the survey out of 300 students surveyed. So, the percentage of students surveyed is:
Percentage = (240 / 300) * 100 = 80%
You need 35 black tiles and 28 white tiles to tile a patio. How many
tiles will you need in all? Use the Distributive Property to help you
find the sum.
In a simple addition problem like this, just directly add the number of black tiles (35) and white tiles (28). So, 35 + 28 equals 63. You will need 63 tiles in all to tile the patio.
The question asks you to find the total number of black and white tiles needed to tile a patio, using the Distributive Property to do the math.
However, the Distributive Property is used for multiplying a number by a group of numbers added together, not for a simple addition problem like this. For this question, you directly add the number of black tiles (35) and white tiles (28).
So, 35 (number of black tiles) + 28 (number of white tiles) equals 63. Therefore, you will need 63 tiles in all to tile the patio.
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