Answer:
Option 2
Step-by-step explanation:
Let's say that Phalicia opens her savings account one year (12 months) before she goes to college.
With Option 1, she would have saved 300 + 50 * 11 = $850. We do 50 * 11 and not 50 * 12 because she deposits $50 for 11 months, not 12.
With Option 2, she would have saved 5 * 3¹¹ = $885735. Note that we do 3¹¹ and not 3¹² because 5 is being tripled 11 times.
Obviously, she should choose Option 2 because she saves A LOT more money.
Additionally, we can notice that Option 1 is an example of an arithmetic sequence whereas Option 2 is an example of a geometric sequence. Their explicit formulas would be aₙ = 50n + 250 and aₙ = 5 * 3⁽ⁿ⁻¹⁾ respectively.
A delivery truck driver charges a fixed base price of $6 for 2 miles. After 2 miles, he charges an additional $2 for every mile. After
charges an additional $4 for every mile.
Describe the cost of the delivery truck between 1 mile and 2 mies.
20
18
16
Cost (dollars)
4
9 10
Distance (miles)
A
of the delivery ticketmaddesins
Answer:
$6
Step-by-step explanation:
Between 1 and 2 miles, the charge is $6.
........Median vs mean?
The mean is affected by the skewness, whereas the median is not.
==================================
Let's go through the answer choices to see which are true and which are false.
A. True. The mean takes account of all the values since we sum all the values and divide by the number of values. The median only looks at the middle most value. The median does not take into account any other value. So the outliers can move wherever you want and the median will not be affected.B. False. It depends on what the context of the situation is. Both measures of center have their strengths and weaknesses. The median is only preferred if there are outliers. That way we get a sense of where the center is and know that the center isn't being pulled on by the outliers. A good example is home real estate as this problem mentions.C. False. The mean is larger than the median if the data is skewed right. Skewed right data means we have a large outlier(s) to the right side pulling the mean toward that location. An example would be having homes in some range of say 50 to 100 thousand, and then an outlier mansion would have a price of 20 million dollars. This skews the mean to be larger than it should be (when it should be somewhere between 50 and 100 thousand). Note: sometimes a trimmed mean is used instead of the medianD. False. The mean should only be used if we don't have any outliers at all. In other words, the mean should only be used if the data is not skewed left and not skewed right either. E. False. This computes the midrange and not the median. In my experience with many stats problems, the midrange doesn't really come up that often. Though I could just have a limited viewpoint of course.Can anybody help me please!!!
Answer:
it's in the picture
Step-by-step explanation:
it's in the picture
Put the following equation of a line into slope-intercept form, simplifying all fractions. x + 3y =21
Taylor has 18 cents in dimes and nickels in her pocket. The number of dimes is four more than the number of nickels. How many of each coin does it have?
Answer:
Explained below.
Step-by-step explanation:
The value of different types of coins are as follows:
1 penny (p) = 1 cent
1 nickel (n) = 5 cents
1 dime (d) = 10 cents
1 quarter (q) = 25 cents
It is provided that Taylor has 18 cents in dimes and nickels in her pocket.
This is not possible.
Because the sum of any number of dime and nickel coins will always be a multiple of 5.
a·d + b·n = 10a + 5b = 5 (2a + b)
The value 18 cents can be formed as follows:
8p + d = 18 cents
3p + n + d = 18 cents
3n + 3p = 18 cents
hey do anybody know 14+18÷2×18-7
Answer:
169
Step-by-step explanation:
14 + 162 - 7 = 169
hoped this helped:)
anyone know an easy way to do statistics without being complicated
Answer: Use distributive practice rather than massed practice. ...
Study in triads or quads of students at least once every week. ...
Don't try to memorize formulas (A good instructor will never ask you to do this). ...
Work as many and varied problems and exercises as you possibly can. ...
Look for reoccurring themes in statistics.
A pyramid has a square base that measures
3 feet on each side. The height of the
pyramid is 19 inches. What is the volume?
Answer:
Here is a solution: (since idk the length or width of the pryamid)
Step-by-step explanation:
use the solution for volume.
V=L*W*H
(V= volume
L=Length
W=Width
H=Height)
please help me with this. pre cal
Answer:
Option (2)
Step-by-step explanation:
If m(x) and n(x) are the functions inverse of each other,
Then the following condition should be fulfilled,
m[n(x)] = n[m(x)] = x
Here, m(x) = [tex]\frac{3x}{x+7}[/tex] and n(x) = [tex]\frac{7x}{3-x}[/tex]
m[n(x)] = [tex]\frac{3(\frac{7x}{3-x})}{(\frac{7x}{3-x})+7}[/tex]
= [tex]\frac{21x}{7x+21-7x}[/tex]
= x
n[m(x)] = [tex]\frac{7(\frac{3x}{x+7})}{3-\frac{3x}{x+7}}[/tex]
= [tex]\frac{21x}{3x+21-3x}[/tex]
= x
Therefore, [tex]\frac{3(\frac{7x}{3-x})}{(\frac{7x}{3-x})+7}=\frac{7(\frac{3x}{x+7})}{3-\frac{3x}{x+7}}=x[/tex] will be the correct option.
Option (2) will be the answer.
PLEASE HELP ME WITH THIS QUESTION
Answer:
x = -2
y = -4
Step-by-step explanation:
Graph the systems of equations. Then analyze the graph for the intersection. The point of intersection will be your solution set.
Answer:
[tex]x = -2\\y = -4[/tex]
Step-by-step explanation:
Question
[tex]\left \{ {{-2x + 2y = -4} \atop {3x + 3y = -18}} \right.[/tex]
Multiply throughout the equation to eliminate a variable:
[tex]-2x + 2y = -4[/tex] becomes [tex]-6x + 6y = -12[/tex] when multiplied by 3
[tex]3x + 3y = -18[/tex] becomes [tex]6x + 6y = -36[/tex] when multiplied by 2
Then add the values of the variables together:
[tex]-6x + 6x = 0\\6y + 6y = 12y \\-12 - 36 = -48[/tex]
And a new equation forms:
[tex]0 + 12y = -48[/tex]
[tex]y = -4[/tex]
Plug in [tex]y[/tex] to any of the previous equations to solve for [tex]x[/tex] :
[tex]-2x + 2y = -4[/tex]
[tex]-2x + 2(-4) = -4[/tex]
[tex]-2x - 8 = -4[/tex]
[tex]-2x = 4[/tex]
[tex]x = -2[/tex]
What is the value of this expression? [(3+5)⋅2−5]⋅3
Answer:
33
Step-by-step explanation:
[(3+5)⋅2−5]⋅3
[8·2−5]⋅3
[16−5]⋅3
11⋅3
33
Answer:
33
Step-by-step explanation:
Lets break it down. Remember PEMDAS
[(3+5)⋅2−5]⋅3
[(8)⋅2-5]⋅3 start with the parenthisis
[16-5]⋅3 multiply
[11]⋅3
33
hope this helps :)
What is the GCF of 12 and 48
If K is the midpoint of JL, JK = 8x+11 and KL = 14x-1, find JL.
Step-by-step explanation:
Since, K is the midpoint of JL.
[tex] \therefore \: JK = KL \\ 8x + 11 = 14x - 1 \\ 11 + 1 = 14x - 8x \\ 12 = 6x \\ \frac{12}{6} = x \\ 2 = x \\ \\ \because \: JL = JK + KL \\ \therefore \: JL = 8x + 11 + 14x - 1 \\ \therefore \: JL = 8x + 14x + 11 - 1 \\ \therefore \: JL = 22x + 10\\ \therefore \: JL = 22 \times 2 + 10..(plug \: x = 2) \\ \therefore \:JL = 44 + 10 \\ \huge \red{ \boxed{\therefore \:JL = 54}}[/tex]
Solve for r V=1/3πh²(3r-h)
Rewrite the equation:
1/3 ⋅ ( πr2 ( 3r−h )) = V.
Sophia says that you can solve the problem in the example by multiplying both quantities in the ratio 60:36 by 1/6. is Sophia correct? Explain.
Answer:
Sophia is not correctStep-by-step explanation:
This is a ratio problem and Sophia is expected to simplify the ratio by finding the smallest possible values and not to compound it by multiplying by some values
We can represent the given ratio 60:36 as a fraction.
60/36
we proceed to reduce the fraction by dividing both the numerator and the denominator by a common factor say 6
10/6
We can further reduce with a common factor of 2
5/2
re-writing the ratio we have 5:2
Evaluate the expression if a = 3 over 4, b = -8, c = -2, and d = 3
Answer:
45
Step-by-step explanation:
So we have the expression:
[tex]ab^2-d[/tex]
And we want to evaluate it for a=3/4, =-8, and d=3.
Thus, substitute in these values:
[tex]=(\frac{3}{4})(-8)^2-3[/tex]
Do the exponent first. -8 squared is positive 64:
[tex]=(\frac{3}{4})(64)-3[/tex]
And 3/4 times 64 is 48:
[tex]=(48)-3[/tex]
Subtract:
[tex]=45[/tex]
The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than second. How much did each person receive? 1st person: 2nd person: 3rd person: show work
Answer:
1st person: $432nd person: $853rd person: $96Step-by-step explanation:
Let a, b, c represent the amounts received by the first, second, and third person, respectively.
2a-1 = b
c = b+11
a + b + c = 224
Substituting for c, we have ...
a + b + b+11 = 224
a +2b = 213
Substituting for b, we have ...
a +2(2a -1) = 213
a +4a -2 = 213 . . . . . eliminate parentheses
5a = 215 . . . . . . . . . . add 2
a = 43 . . . . . . . . . . . . .divide by 5
b = 2a -1 = 2(43) -1 = 85
c = b +11 = 85 +11 = 96
The amounts received were ...
1st person: $432nd person: $853rd person: $96solve for h h+6/5=2
Answer:
h=0.8
Step-by-step explanation:
Steps
$h+\frac{6}{5}=2$
$\mathrm{Subtract\:}\frac{6}{5}\mathrm{\:from\:both\:sides}$
$h+\frac{6}{5}-\frac{6}{5}=2-\frac{6}{5}$
Show Steps
$\mathrm{Simplify}$
$h=\frac{4}{5}$
Answer:
The answer would be 2h
Step-by-step explanation:
please let this be helpful
Maya is going to an amusement park. The price of admission into the park is
$10, and once she is inside the park, she will have to pay $2 for every ride she
rides on. How much money would Maya have to pay in total if she goes on 15
rides? How much would she have to pay if she goes on r rides?
Irrational numbers are _____ integers. sometimes never always
Answer:
Hey there!
Irrational numbers are NEVER integers. All integers are rational.
Hope this helps :)
Sharonda is plotting quadrilateral PQRS on the graph below She
will plot the fourth and final vertex, S, at (9, 5) What will be the length of side PS
Answer:
7 :)
Step-by-step explanation:
Sharonda is plotting quadrilateral PQRS on the graph below She will plot the fourth and final vertex, S, at (9, 5), the length of side PS will be 11 units.
What is quadrilateral?A quadrilateral is a four-sided polygon. The sum of the interior angles of a quadrilateral is always equal to 360 degrees. There are several types of quadrilaterals, including: Square, rectangle, parallelogram, rhombus, trapezoid, and kite.
Length of side PS can be calculated using the distance formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where,
P(-2, 5) = ([tex]x_1,y_1[/tex]) (the coordinate of P is gotten from the graph).
Given that,
S(9, 5) = ([tex]x_2,y_2[/tex])
PS = [tex]\sqrt{(9-(-2))^2+(5-5)^2}[/tex]
PS = [tex]\sqrt{11^2+0^2}[/tex]
PS = [tex]\sqrt{121}[/tex]
PS = 11units.
Thus, the answer is 11 units.
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What is 45,231 written in expanded form? 2 x 10,000 + 1 x 1,000 + 3 x 100 + 5 x 10 + 4 2 x 10,000 + 3 x 1,000 + 1 x 100 + 4 x 10 + 5 3 x 10,000 + 4 x 1,000 + 5 x 100 + 1 x 10 + 2 4 x 10,000 + 5 x 1,000 + 2 x 100 + 3 x 10 + 1 x 1
Answer:
45231 = [tex]4 \times 10000 + 5\times 1000 +2 \times 100 + 3\times 10 +1 \times 1[/tex]
Step-by-step explanation:
Given the number:
45,231
We have To write the given number in the expanded form.
Solution:
First of all, let us write the different digits of the number:
Unit's digit = 1
Ten's digit = 3
Hundred's digit = 2
Thousand's digit = 5
Ten thousand's digit = 4
Unit's digit has to be multiplied with 1.
Ten's digit has to be multiplied with 10.
Hundred's digit has to be multiplied with 100.
Thousand's digit has to be multiplied with 1000.
Ten Thousand's digit has to be multiplied with 10000.
And then they have to be added so that the number gets formed.
45231 = [tex]4 \times 10000 + 5\times 1000 +2 \times 100 + 3\times 10 +1 \times 1[/tex]
If -2(3y+5)= -4, find the value of 5y.
Answer:
5y = -5
Step-by-step explanation:
-2(3y+5)= -4
Divide each side by -2
-2/ -2 (3y+5)= -4/-2
3y+5 = 2
Subtract 5 from each side
3y +5 -5 = 2-5
3y = -3
Divide by 3
3y/3 = -3/3
y = -1
5y = 5*-1 = -5
A rectangular garden has a perimeter of 578 yds.
The length is one more than three times the width.
Find the dimensions of the garden.
Answer:
length = 217 ydwidth = 72 ydStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 578 yds
The statement
The length is one more than three times the width is written as
l = 1 + 3w
Substitute the expression into the above formula and solve for the width
That's
578 = 2(1 + 3w) + 2w
578 = 2 + 6w + 2w
8w = 576
Divide both sides by 8
w = 72
Substitute w = 72 into l = 1 + 3w
That's
l = 1 + 3(72)
l = 216 + 1
l = 217
Therefore the dimensions are
length = 217 yd
width = 72 yd
Hope this helps you
15 -g = 23-2g
Help me solve for “g”
Answer:
g = 8Step-by-step explanation:
15 - g = 23 - 2g
+2g +2g
15 + g = 23
-15 -15
g = 8
Answer:
g=8
Step-by-step explanation:
15-g=23-2g
g=23-15
g=8
How can you use the properties of operations to evaluate this expression? 18 + 4(28)
You can use the commutative property to rearrange the problem like this, 18 + 28 * 28 * 28 * 28 = 130
Basically, you can use the properties of operations to solve 18 + 4(28) in various ways. Though whichever operation you apply must give you the same result. The result of 18 + 4(28) is 130.
Step-by-step explanation:The four basic types of properties of operations are commutative, associative, distributive and identity. These properties only apply to the operations of addition and multiplication.
According to the purplemath site, "The word 'commutative' comes from 'commute' or 'move around', so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is 'a + b = b + a'; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is 'ab = ba'; in numbers, this means 2×3 = 3×2."
According to the splashlearn site, "the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the sum does NOT change irrespective of how the addends are grouped. Here's another example. ( 75 + 81 ) + 34."
According to the mathwarehouse site, "In general, this term refers to the distributive property of multiplication which states that the. Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products."
According to the math site, "Identity property. The identity property for addition tells us that zero added to any number is the number itself. Zero is called the 'additive identity.' The identity property for multiplication tells us that the number 1 multiplied times any number gives the number itself."
Answer:
Sample response: Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.
Step-by-step explanationWhich reasons did you include in your response? Check all that apply.
The distributive property can be applied to multiply 4(28) mentally.
The number 28 can be expanded to 20 + 8.
The commutative property can be applied to reverse the order of numbers.:
hope this helps \_(-^-)_/
Given that 1 inch = 2.54 cm, how many centimeters are there in 8 feet? Answers may be written using decimal form and should be rounded to the nearest hundredth when necessary.
Answer:
There is 243.84 cm in 8 feet.
Step-by-step explanation:
We have:
1 inch = 2.54 cm
1 feet = 12 inch
We can find the number of centimeters (n) present in 8 feet as follows:
[tex] n = \frac{2.54 cm}{1 inch}*\frac{12 inch}{1 ft}*8 ft = 243.84 cm [/tex]
Therefore, there is 243.84 cm in 8 feet.
I hope it helps you!
Answer:
243.84
Step-by-step explanation:
The pairs 3, 12 and 4, 9 are factor pairs of which number? A) 32 B) 36 C) 44 D) 82
Answer:
When factorizing one number, what you get are other numbers that, when they get multiplied, the result of the product is the first number.
In our case, the pair of 3, 12 and the pair of 4, 9 are factors of 36, as it's the number we get when multiplying them:
3 * 12 = 364 * 9 = 36We can factroize 36 like this: 2*2*3*3, and:
2 = 24 = 2*29 = 3*312 = 2*2*3The factor pairs belong to the number 36.
What is factorization?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.
As per the given data:
The factor pairs are as follows:
3, 12
4, 9
We have to find out that of which number these factor pair belongs.
When the factors of any number are multiplied with each other, we get that number.
For finding out the number, we need to multiply the factor pairs:
3 × 12 = 36
4 × 9 = 36
The factor pairs belong to the number 36.
Hence, The factor pairs belong to the number 36.
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4 = 3/4m - 6 pls help me ASAP and check the answer
Answer:
m = 3/40
Step-by-step explanation:
4 = 3/4m - 6
m*4 = m(3/4m -6)
4m = m*3/4m + m*-6
4m = 3/4 - 6m
6m + 4m = 3/4
10m = 3/4
m = (3/4)/10
m = 3/40
check:
4 = 3/(4*3/40) - 6
4 = 3/(12/40) - 6
4 = (3*40)/12 - 6
4 = 120/12 - 6
4 = 10 - 6
7- (-11) =
I need the answer to this question
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Since two negative sign = positive sign
Therefore,
7 + 11 = 18
hope it helps