Answer:
Step-by-step explanation:
From the information being provided;
We learnt that Becky pays simple interest at an annual interest rate of 8.8% which is calculated quarterly.
i.e. [tex]\dfrac{8.8\%}{4}= 2.2\%[/tex]
Since the first payment of $27,000 happened in the first three months, therefore, Becky will be able to have the money in the bank for 3 quarters prior to the lump-sum payment gets started.
Thus, the estimate of the amount Becky would earn as interest during this period of time is as follows:
[tex]I =\dfrac{PRT}{100}[/tex]
[tex]I =\dfrac{27000\times 2.2 \times 3}{100}[/tex]
[tex]I =\dfrac{178200}{100}[/tex]
I = $1,782
Melissa collects data on her college graduating class. She finds out that of her classmates,40%are brunettes ,30%have blue eyes and 5% are brunettes that have blue eyes. What is the probability that one of melissa's classmates will be a brunette or have blue eyes?
Choose the expression that is equal to 28.3.
33 + 27.2 – 6.8 + 24 – 3.1
33 + 27.2 – (6.8 + 24 – 3.1)
[33 + (27.2 – 6.8)] + 24 – 3.1
33 + 27.2 – (6.8 + 24) – 3.1
1. The sum of 5 and x is 20. What is x?
If the sum of 5 and x is 20, then the value of x will be 15.
It is given that the sum of 5 and x is 20.
Mathematically, it can be written as:
5 + x = 20
We have to find the value of x.
In order to find the value of x we need to separate the variable and constant.
For this, subtract 5 from both the sides:
5+x-5 = 20-5
5-5 +x = 20-5
Then, solve the operation of subtraction on both the sides of above equation.
0+x = 15 -------(A)
Since, when we add 0 to any quantity, the result will be this quantity itself.
So, 0+x = x -------(B)
From (A) and (B), Sine the left sides of equation (A) and (B) are equal, then the right sides will also be equal.
Equation right sides of (A) and (B). We have:
x = 15
Hence, the value of x is 15.
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Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per
ride is 50¢. If his parents gave him $20, write and solve a linear equation to find how many
rides he can go on.
Answer:
I think 40
Step-by-step explanation:
20/.50
Answer:
30 rides
Step-by-step explanation:
First subtract $5 from $20 (20-5) to get $15 now multiply 15 by 2 (which is the same as dividing by 1/2. and you get 30. so your answer is 30 rides
20-5=15 15x2=30 30 rides
Write an equation that is parallel to y = 9x and goes through the point (1,5).
Answer:
y=9x-4
OR
y-5=9(x-1)
(both are correct and equal)
Step-by-step explanation:
Parallel means slope is the same, so the slope of the equation should be 9.
Using point slope form:
[tex]y-5=9(x-1)[/tex]
Which would be:
[tex]y=9x-4[/tex]
in slope intercept form.
Hey there!
Answer:
y = 9x - 4
Step-by-step explanation:
The other guy already gave the explanation soo... but I got the same answer
Good luck!! :D
What is the slope of this line?
Enter your answer as a fraction, formatted like this: 42/53
Or, if the slope is undefined, enter a lowercase letter "u," like this: u
Please help me and I will give you brianlyeist
Answer:
2, 4
Step-by-step explanation:
commom multiple of 3 and 7
Answer:
The common multiples of 3 and 7 up to 70 are 21, 42, and 63. A multiple of a number a is a number that is the product of a and another number.
Step-by-step explanation:
The common multiples of 3 and 7 up to 70 are 21, 42, and 63. A multiple of a number a is a number that is the product of a and another number.
You work at an appliance store that offers an extended warmanty on each product sold. The store sold 12,930 appliances and two-fifths of the customers purchased the extended warranty. How many extended warrantles were purchased?
Answer:
5,172
Step-by-step explanation:
When figuring out a fraction of a number (especially of total things sold to find out the number of a certain thing purchased), remember that you are multiplying. So when finding 2/5 of 12,930, just multiply 12,930 by 2/5 (or, in decimal form, .4) and that will give you 5,172. Hope this helps!
The graph shows the printing rate of printer a printer b can print a rate of 25 pagws per minute how does the rate for printer b compare
Answer:greater,greater,15
The printing rate for Printer B is
greater
than the rate for Printer A because the rate of 25 pages per minute is
greater
than the rate of
15
pages per minute for Printer A.
The answers to the fill ups are:
(a) greater than
(b) greater than
(c) 15
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Usually, data that varies over time is represented with a line graph.
Given:
As, slope for printer A= 30-2/2-0
= 30/2 = 15 pages per minute.
So, the rate of Printer A is 15 pages per minute.
Thus,
The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.
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How much money is shown? i know the $25 i just dk the change
Answer:
$25.20
Step-by-step explanation:
This is the answer because:
1) 10 + 10 + 5 = 25
2) Next, dimes are equal to 0.10
25 + 0.10 + 0.10 = 25.20
Hope this helps! :D
A number is represented by x. How would we represent 3 more than the number. *
Answer:
Pretty sure we would just say 3+x.
Step-by-step explanation:
Solve for AB. Round your answer to the nearest tenth if necessary.
Answer:
See Below
Step-by-step explanation:
You want to find AB.
They give the equation for AB, BC, and AC
AC - BC = AB
substitute the equations
(30) - (8x + 3) = 6x + 8
30 - 8x - 3 = 6x + 8
27 - 8x = 6x + 8
+8x +8x
27 = 14x + 8
-8 -8
19 = 14x
19/14 = 14x/14
1.3571428 = x
0.1 = tenth
1.4 = x
Substitute x into the equation for AB
6(1.4) + 8
16.4
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~First~you~need~to~make~an~equation:[/tex]
[tex]\bold{30-8x+3=6x+8}[/tex][tex]\bold{You~do~this~by~using~all~the~information~available~and~set~it~up~to~solve~for~AB.}[/tex][tex]2.)~Add~30~and~3~to~get~33:[/tex]
[tex]\bold{33-8x=6x+8}[/tex][tex]3.)~Subtract~6x~from~both~sides:[/tex]
[tex]\bold{33x-8x-6x=8}[/tex][tex]\bold{Causes~signs~to~change~and~the~equation~gets~rearranged.}[/tex][tex]4.)~Combine -8x~and~-6x:[/tex]
[tex]\bold{-8x-(-6x)=-14x}[/tex][tex]\bold{33-14x=8}[/tex][tex]5.)~Subtract~33~from~both~sides:[/tex]
[tex]\bold{33-33=Cancels~out}[/tex][tex]\bold{8-33=-25}[/tex][tex]5.)~Divide~both~sides~by~-14:[/tex]
[tex]\bold{-14x}[/tex] ÷ [tex]\bold{-14=x}[/tex][tex]\bold{-25}[/tex] ÷ [tex]\bold{-14=-1.78571429}[/tex][tex]6.)~Simplify:[/tex]
[tex]\bold{1.78571429}~(Take~Away~the~Negative!)[/tex][tex]\bold{1.8}~(Round~to~the~Nearest~Tenth!)[/tex][tex](To~Round~look~at~that~number~in~the~tenth~place:~7,\\~now~look~to~the~number~to~the~right:~8.~\\\\So~if~that~number~is~greater~than~or~equal~to~5,~then~you~round~up.\\If~that~number~is~less~than~or~equal~to~5,~then~you~round~down.)[/tex]
______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{AB=1.8}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]
Write an algebraic expression for the word phrase.
10 times the product of g and h.
a. 10 (g+h)
b. 10 (g-h)
c. 10 (g/h)
d. 10gh
The answer is D) 10gh
Answer: I think the correct answer would be d
Step-by-step explanation:
Are the triangles PQR and RST similar why or why not?
Answer: The triangles are similar
======================================================
Explanation:
The square markers show that
angle RPQ = angle RST = 90 degrees
So that's one pair of congruent angles. Another pair of congruent angles is what you see in the diagram below. The angles marked in red are congruent alternate interior angles. Alternate interior angles are congruent when we have parallel lines like this.
Since we have two pairs of congruent angles, we can use the AA (angle angle) similarity theorem to prove the triangles congruent.
Answer:
Triangle PQR and RST are both right triangles but they do not share the same side lengths. They also share the same point R, so I would say that they are similar only because they are both right triangles.
Step-by-step explanation:
Find the value of x.
Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space
As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .
Then :-
[tex]6y + 13y - 10 = 180[/tex]
[tex] 19y - 10 = 180[/tex]
[tex]19y = 180 + 10[/tex]
[tex]19y = 190[/tex]
[tex]y = \frac{190}{19} [/tex]
[tex]y = 10[/tex]
Which means :-
= 13y - 10
= 13 × 10 - 10
= 130 - 10
= 120°
Then angle 6y :-
= 6 × 10
= 60°
As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .
Which can be written as :-
[tex]60 + 9x + 12 = 180[/tex]
[tex]9x + 72 = 180[/tex]
[tex]9x = 180 - 72[/tex]
[tex]9x = 108[/tex]
[tex]x = \frac{108}{9} [/tex]
[tex]x = 12[/tex]
Then :-
= Angle 9x + 12
= 9 × 12 + 12
= 108 + 12
= 120°
Therefore , the value of y = 10 and the value of x = 12 .
Which equation has exactly one solution in common with the equation y=6x-2?
A. 18x - 3y = 6
B. 1/2y = 3x - 2
C. 2y = 4x - 12
D. 18x - 12 = 3y
Answer:
A. 18x - 3y = 6
Step-by-step explanation:
By taking 3 common from the terms 18x and 3y we get,
3 (6x-3y) = 6
or, 6x - y = 6/3
or, 6x - y = 2
And,
The equation becomes,
y = 6x - 2
The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.
What is a system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
By taking 3 commons from the terms 18x and 3y we get,
3 (6x-3y) = 6
6x - y = 6/3
6x - y = 2
The equation becomes,
y = 6x - 2
Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.
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Esmeralda and Genevieve are both planting square gardens. Esmeralda's garden is 25 square feet and
Genevieve's is 4 square yards. Convert their garden sizes to the same units (feet) to determine who's garden has a
larger area. (1 point)
Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's
Genevieve's garden is 16 square feet and thus has a smaller area than Esmeralda's
O Genevieve's garden is 25 square feet, and thus has the exact same area as Esmeralda's
Genevieve's garden is 36 square feet, and thus, has a larger area than Esmeralda's
Answer:
Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's
Step-by-step explanation:
Given:
Esmeralda's garden = 25 square feet
Genevieve's garden = 4 square yards
Convert Genevieve's units (yards) to feet
Yards to feet
1 yard = 3 feet
4 yards = 4 * 3 feet
4 yards = 12 feet
Genevieve's garden = 12 square feet
Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's
Answer:
The answer is: Genevieve's garden is 36 square feet, and thus, has a larger area than Esmeralda's
Step-by-step explanation:
Kyle wrote this equation to represent a story problem
3. $4 = $12
Which story problem matches Kyle's equation?
А Kyle earned $3 the first welk and baned S4 to his brother the second week. How much money did Kyle have at the end of the second week?
Kyle earned S4, each week for 3 weeks, for heping his brother maw the kwn. How much money did Kyle have at the end of 3 weeks ?
Kyle borrowed 54 from his brother each week for 3 weeks. How much money did Kyle owe at the end of 3 weeks?
Kyle borrowed 53 from his brother each week for 4 weeks. How much money did Kyle owe at the end of 4 weeks?
В
С
Answer:
B. Kyle earned $4, each week for 3 weeks, for helping his brother maw the kwn. How much money did Kyle have at the end of 3 weeks ?
Step-by-step explanation:
Option B answers the question.
Analyzing B
[tex]Earnings = \$4[/tex] weekly
[tex]Duration = 3\ weeks[/tex]
Total Earnings is calculated as thus:
[tex]Total = Earnings * Duration[/tex]
[tex]Total = \$4 * 3[/tex]
[tex]Total = \$12[/tex]
Hence:
[tex]\$4 * 3 = \$12[/tex]
The population of a town y years after 1970 is 32,070 + 1,524y.
Which statement is correct?
A.
The population increased by 1,524 people each year after 1970.
B.
The population increased by 32,070 people each year after 1970.
C.
The population decreased by 32,070 people each year after 1970.
D.
The population decreased by 1,524 people each year after 1970.
Answer:
A
Step-by-step explanation:
1524y: this is your slope.
Notice it is positive. Thismust mean that your population can only increase. Therefore, C and D are wrong. Now what is increasing? 1524 each year.
9. A company is looking to hire a painter, One painter states that their fee can be determined by
using the expression 50x + 100 where x is the number of hours it takes to paint. A second painter
states that their fees can be determined by using the expression 40X + 125. The company wants
to know when the fee would be the same for each painter, What number of hours makes the
equation 50% + 100 = 40% + 150 true?
(10 Points)
The
Which of the following expressions is equivalent to x − 9 − 3x + 2y + 3 − 2?
A.
4x + 2y + 14
B.
3x + 2y + 1
C.
x − 9
D.
−2x + 2y − 8
Answer:
D.
−2x + 2y − 8
Step-by-step explanation:
x − 9 − 3x + 2y + 3 − 2 ( collect like terms)
-2x + 2y - 8
x - 3x = -2x
2y = 2y
-9 + 3 - 2 = -8
Hi.
Please i need help with these questions :
Simplify
1.
[tex] \frac{ {d}^{2} - 9 }{ {d}^{2} - 7d + 12 } [/tex]
2.
[tex] \frac{ {m}^{2} + 2mn + {n}^{2} }{ {m}^{2} - {n}^{2} } [/tex]
3.
[tex] \frac{ {x}^{2} + xy - 6 {y}^{2} }{ {x}^{2} - 3xy + 2 {y}^{2} } [/tex]
1)
[tex]\frac{d^2 - 9}{d^2 - 7d + 12} = \frac{(d - 3)(d + 3)}{(d - 3)(d - 4)} = \frac{d + 3}{d - 4}[/tex]
2)
[tex]\frac{m^2 + 2mn + n^2}{m^2 - n^2} = \frac{(m + n)(m + n)}{(m - n)(m + n)} = \frac{m + n}{m - n}[/tex]
3)
[tex]\frac{x^2 + xy - 6y^2}{x^2 - 3xy + 2y^2} = \frac{(x + 3y)(x - 2y)}{(x - y)(x - 2y)} = \frac{x + 3y}{x - y}[/tex]
1. [tex] \bf \dfrac{ {d}^{2} - 9 }{ {d}^{2} - 7d + 12 } [/tex]
[tex] \tt : \implies \dfrac{ {d}^{2} - (3)^{2} }{ {d}^{2} - 3d - 4d + 12 } [/tex]
By using identinty a² - b² = (a + b)(a - b) in numerator and splitting method in denominator :
[tex] \tt : \implies \dfrac{ (d+3)(d-3) }{ {d}^{2} - 3d - 4d + 12 } [/tex]
[tex] \tt : \implies \dfrac{ (d+3)(d-3) }{d(d - 3) - 4(d - 3)} [/tex]
[tex] \tt : \implies \dfrac{ (d+3)\cancel{(d-3)} }{\cancel{(d - 3)}(d - 4)} [/tex]
[tex] \tt : \implies \dfrac{d+3}{d - 4} [/tex]
Hence, answer is [tex] \boxed{\bf \dfrac{d+3}{d - 4} }[/tex]
________________________________
2. [tex] \bf \dfrac{ {m}^{2} + 2mn + {n}^{2} }{ {m}^{2} - {n}^{2} } [/tex]
By using identinty a² + 2ab + b² = (a + b)² in numerator and a² - n² = (a + b)(a - b) in denominator :
[tex] \tt : \implies \dfrac{(m+n)^{2}}{(m+n)(m-n)}[/tex]
[tex] \tt : \implies \dfrac{\cancel{(m+n)}(m+n)}{\cancel{(m+n)}(m-n)}[/tex]
[tex] \tt : \implies \dfrac{m+n}{m-n}[/tex]
Hence, answer is [tex] \boxed{\bf \dfrac{m+n}{m-n}}[/tex]
________________________________
3. [tex] \bf \dfrac{{x}^{2} + xy - 6{y}^{2}}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
By using splitting method in both numerator and denominator :
[tex] \tt : \implies \dfrac{{x}^{2} + 3xy - 2xy - 6{y}^{2}}{{x}^{2} - xy - 2xy + 2{y}^{2}}[/tex]
[tex] \tt : \implies \dfrac{x(x + 3y) - 2y(x + 3y)}{x(x - y) - 2y(x - y)}[/tex]
[tex] \tt : \implies \dfrac{\cancel{(x-2y)}(x + 3y)}{\cancel{(x-2y)}(x - y)}[/tex]
[tex] \tt : \implies \dfrac{x + 3y}{x - y}[/tex]
Hence, answer is [tex] \boxed{\bf \dfrac{x + 3y}{x - y}}[/tex]
The Wells family drinks 8.5 gallons of milk per week. The McDonald family drinks 1.1 gallons of milk each day. What is the difference, in liters, between the amounts of milk the families will drink in one week? (1 gallon is approximately 3.8 liters)
Answer:
3.1 liters
Step-by-step explanation:
Wells family- 8.5 gallons per week
McDonald family- 7.7 gallons per week
8.5 gallons= 32.3 liters approx.
7.7 gallons= 29.2 liters approx.
32.3-29.2=3.1 liters difference
is "among us" better on pc or iphone? also how much does it cost?
Answer: anything honestly
Step-by-step explanation:I don't think it costs anything you only have to pay if you want specific accessories
Answer:
It is better on an iPhone and the game is free. Also, it is really personal preference!
Step-by-step explanation:
PLEASE HELP!! 30 POINTS!!
Answer:
the slope is 1
Step-by-step explanation:
the line is going up so the slope is definitely positive
and if you use the rise over run method then you should get 1 over 1 which means the slope is one
Please help me I’ll give brainliest
Answer:
x<3
Step-by-step explanation:
Is not a negative so it wont be on the left
Ill give brainlist if right i neeeed helpppp
The answer is option 2. 9 units left and 7 units down.
Answer:
B. 9 units left and 7 units down.
Step-by-step explanation:
If you're moving the top and left side of the box. Then the left side moves left 9 units and the top moves down 7.
5
Teresa reads an average of 1.5 books each week during the year.
Write an equation that represents the amount of books that she read (y) per week (x). *
(5 Points)
A.x = 1.5y
B.y = x
C. y = 52x
D. 52 = 1.52
Answer:
c
Step-by-step explanation:
Seven less than twice a number is -1
solve
Answer:
2x - 7 = -1
x = 3
Step-by-step explanation:
Hope this Helps!
Plz Mark Brainliest!
Answer:
2x - 7 = -1 x = 3
Step-by-step explanation:
2x - 7 = -1
+7 +7
2x = 6
/2 /2
-------------
x = 3
