You have $200 in a savings account and $100 in a checking
account. Each week, you add $50 to your savings account and $30 to your
checking account.
a. Write algebraic expressions that represent the amount of money in each
bank account after w weeks.
b. Write an expression in simplest form that represents the total amount of
money in both accounts after w weeks.
c. How much money do you have in both accounts after 5 weeks?
Answer:
a. Savings account: 200 + 50w Checking account: 100 + 30w
b. 300 + 80w
c. 700
Step-by-step explanation:
b. 200 + 50w + 30w + 100 Combine like terms. 300 + 80w
c. 300 + 80w. w=5. 300 + (80*5) = 300 + 400 = 700
Find the value of x. Round to the
nearest tenth.
35
Х
12
x = [ ? ]
Answer:
Step-by-step explanation:
[tex]Tan 35 = \dfrac{opposite \ side}{adjacent \ side}\\\\0.7=\dfrac{12}{x}\\\\0.7*x=12\\\\x=\dfrac{12}{0.7}\\\\x=17.1[/tex]
Simplify the following without a calculator: (14−2)÷2
Answer:
7/2
Step-by-step explanation:
(14−2)÷2
PEMDAS says parentheses first
7 ÷2
7/2
Last year, the girl's basketball team had 20 ninth-grade students and 10 sixth-grade students. what was the ratio of sixth-grade students to total students on the team
Can someone give me the answer?
Answer:
5 inches
Step-by-step explanation:
The distance from the center of a circle to any point on the circumference must be equal.
4(y-3) + 3(y+4). solve the equation fast and ill mark you brainliest
Step-by-step explanation:
4(y-3) + 3(y+4)
4y-12+ 3y+12
4y+3y-12+12
7y
I hope it helped U
stay safe stay happy
Answer:
hope it helps you.......
If m ZABD = 83º, what are mZABC and m ZDBC?
3x+33° D
(Ex-6)°
B
mZABC = °
Answer:
∠ ABC = 48°
Step-by-step explanation:
∠ ABC + ∠ DBC = ∠ ABD , that is
6x - 6 + 3x + 8 = 83
9x + 2 = 83 ( subtract 2 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ABC = 6x - 6 = 6(9) - 6 = 54 - 6 = 48°
pretty sure this is algebra
[tex] \boxed{ \boxed{ \: \: \: \: 1.4 \: \: \: \: }}[/tex]
let's solve :[tex] \hookrightarrow \: \dfrac{2a + 3b}{3b} [/tex]
[tex] \hookrightarrow \: \dfrac{2a}{3b} + \dfrac{3b}{3b} [/tex]
[tex] \hookrightarrow \: \dfrac{2a}{3b} + 1[/tex]
[tex] \hookrightarrow \: \big(\dfrac{2}{3} \times \dfrac{a}{b} \big) + 1 [/tex]
[tex] \hookrightarrow \: \big(\dfrac{2}{3} \times 0.6 \big) + 1[/tex]
[tex] \hookrightarrow \:( 2 \times 0.2) + 1[/tex]
[tex] \hookrightarrow \: 0.4 + 1[/tex]
[tex] \hookrightarrow \: 1.4[/tex]
what is the LCM of 4489
Answer:
plz mark me brainliest
Step-by-step explanation:
thanks for question
Can someone help me with problem 6 and 7? Please explain I am confused
an elevator in a tall building goes up 7 floors, then down 9 floors, down 4 floors, up 8 floors, anddown 2 floors. now it is on floor 14 on what floor did the elevator start
Answer:
It started on the same floor, floor 14
Step-by-step explanation:
if it went up 7 then down 9, so negative 2 kinda, then down another 4, so negative 6, then up 8 so positive 2, then down 2, it would've started on floor 14
Answer:
14
Step-by-step explanation:
Let the floor started be 'x'
Equation:-
=> x + 7 - 9 - 4 + 8 - 2= 14
x + (+7) + (-9) + (-4) + (+8) + (-2) = 14
x + 7 - 9 - 4 + 8 - 2 = 14
x + 15 - 15 = 14
x = 14
Therefore, elevator started from 14th level.
Charlie borrowed $500 from his aunt. He has already paid back $75. His aunt doesn't charge
any interest and he is planning on making $15 payments each friday
Answer:
555
Step-by-step explanation:
because it is tyeesgghhhhfdfhf
select the correct answer
which of these graphs represents a function?
Find the area and perimeter.
Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.
12x + 72; 10x + 3
6x + 36; 10x + 3
12x + 72; 3x + 10
6x + 36; 3x + 10
Answer:
Area = 6x + 36
Perimeter = 3x + 10
Step-by-step explanation:
Sides of the triangle: 12 ; (x - 7) & (2x + 5)
Perimeter of the triangle = sum of all the sides
= 12 + x - 7 + 2x + 5
= 2x + x + 12 - 7 + 5 {Combine like terms}
= 3x + 10
Area of triangle:
Base = 12 & height = h = x +6
[tex]Area = \dfrac{1}{2}b*h\\\\=\dfrac{1}{2}*12*(x+6)\\\\[/tex]
= 6 *(x + 6) {Use distributive property}
= 6*x + 6*6
= 6x + 36
Three times a number decreased by the sum of seven times the number and 12 is equal to twice the difference of the number and 3
Answer:
x = -1
Step-by-step explanation:
3x - (7x +12) = 2(x - 3)
3x - 7x - 12 = 2x - 6
-4x - 12 = 2x - 6
-12 = 6x - 6
-6 = 6x
x = -1
Check:
-1(3) - (-1(7) + 12) = 2(-1 - 3)
-3 - (-7 + 12) = -2 - 6
-3 - (5) = -2 - 6
-8 = -8
correct!
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please help me with question 5!!!!!!!!!
Answer:
a)2,3,4,5,6
b)-3,-1,1,3,5
Step-by-step explanation:
a) y(-2)=-2+4=2
y(-1)=-1+4=3
y(0)=0+4=4
y(1)=1+4=5
y(2)=2+4=6
b)y=2x+1
y(-2)=2*(-2)+1=-3
y(-1)=2*(-1)+1=-1
y(0)=2*0+1=1
y(1)=2*1+1=3
y(2)=2*2+1=5
does anybody knoew what 6,114 divided by 63 is? (give me explaination please) long division btw
(my cousin needs it lolz!)
Answer:
ok i hops help u
Step-by-step explanation:
The answer to 63 divided by 21 can also be written as a mixed fraction as follows: 3 0/21 Note that the numerator in the fraction above is the remainder and the denominator is the divisor. How to calculate 63 divided by 22 using long division
What is 6114 Divided by 63?
We provide you with the result of the division 6114 by 63 straightaway:
6114 divided by 63 = 97.047619
The result of 6114/63 is a non-terminating, repeating decimal.
The repeating pattern above, 047619, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 6114/63 = 97.(047619): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 6114 / 63 = 97.047619… .
6114 divided by 63 in decimal = 97.047619
6114 divided by 63 in fraction = 6114/63
6114 divided by 63 in percentage = 9704.76190476%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 6114 and 63, of course.
Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 6114, and the denominator, e.g. 63, have been inserted.
What is the Quotient and Remainder of 6114 Divided by 63?
Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell:
The quotient and remainder of 6114 divided by 63 = 97 R 3
The quotient (integer division) of 6114/63 equals 97; the remainder (“left over”) is 3.
6114 is the dividend, and 63 is the divisor.
In the next section of this post you can find the frequently asked questions in the context of six thousand, one hundred and fourteen over sixty-three, followed by the summary of our information.
Six Thousand, One Hundred And Fourteen Divided by Sixty-Three
You already know what 6114 / 63 is, but you may also be interested in learning what other visitors have been searching for when coming to this page.
The FAQs include, for example:
What is 6114 divided by 63?
How much is 6114 divided by 63?
What does 6114 divided by 63 equal?
If you have read our article up to this line, then we take it for granted that you can answer these FAQs and similar questions about the ratio of 6114 and 63.
Further information, such as how to solve the division of six thousand, one hundred and fourteen by sixty-three, can be found in our article Divided by, along with links to further readings.
Conclusion
To sum up, 6114/63 = 97.(047619). The indefinitely repeating sequence of this decimal is 047619.
As division with remainder the result of 6114 ÷ 63 = 97 R 3.
What is the percentage change from 305 to 395
Answer:
29.51%
Step-by-step explanation:
The change from 305 to 395 is the difference between the two numbers. So, it would be 395 - 305 or 90. Now, to find the percentage of change, we need to find what part of the original amount is the change. In other words, we would have to divide 90 by 305. By putting this in a calculator you get about 0.2951. To convert this decimal into a percent, we would multiply by 100 giving us 29.51%.
bài 5: rút gọn
(x +1)^2 – (2x + 1)^2
[tex](x+1)^2-(2x+1)^2=\\\\=(x^2+2\cdot x\cdot1+1^2)-((2x)^2+2\cdot2x\cdot1+1^2)=\\\\=(x^2+2x+1)-(4x^2+4x+1)=\\\\=x^2+2x+1-4x^2-4x-1=\\\\=x^2-4x^2+2x-4x+1-1=\boxed{-3x^2-2x}[/tex]
Which definition best describes vertical angles?
Vertical angles are a pair of opposite angles formed by intersecting lines
if this trapezoid is moved through the translation (x+3,y-2) what will the coordinates of B` be
Answer:
-2, 2
Step-by-step explanation:
what is the awnser y= 4x-9
Answer:
x = y+9/4
Step-by-step explanation:
if you were trying to rearrange to make x the subject. Take minus 9 to another side which will be plus 9, then divide y+9 by 4
Which number comes first when the numbers are listed from least tò greatest?
Answer:
the least
Step-by-step explanation:
Answer:
-∞
Step-by-step explanation:
Negative numbers are the smallest on the number line. Since the number range is not specified -∞ would be a preferred answer.
What is the factored form of this expression x^3+3x^2-6x-18
Answer:
(x + 3) (x^2 - 6)
Step-by-step explanation:
Factor the following:
x^3 + 3 x^2 - 6 x - 18
Factor terms by grouping. x^3 + 3 x^2 - 6 x - 18 = (x^3 + 3 x^2) + (-6 x - 18) = x^2 (x + 3) - 6 (x + 3):
x^2 (x + 3) - 6 (x + 3)
Factor x + 3 from x^2 (x + 3) - 6 (x + 3):
Answer: (x + 3) (x^2 - 6)
Show work please
[tex]4 \sqrt{9} [/tex]
Answer:
12
Step-by-step explanation:
[tex]4 \sqrt{9} [/tex]
[tex] \sqrt{9} = \sqrt{ {3}^{2} } = 3[/tex]
[tex]4 \times 3[/tex]
[tex] = 12[/tex]
Mary, Misa and Mandy have a combined height of 4.84 m. Mary is 9 cm/0.009m
shorter than Misa. Misa is 0.05 m taller than Mandy. How tall, in metres, is
Mandy?
Answer:
Mandy is 1.613 m tall
Step-by-step explanation:
Let us consider
Mary is A, Misa is B and Mandy is C
According to question,
A + B + C = 4.84 m...... (i)
From qsn
9 cm/0.009 m
= 9 cm/ 0.9 cm
= 10 cm
= 0.1 m
Then, A is 0.1 m shorter than B
i.e. A= B - 0.1 m
Also, B is 0.05 m taller than C
i.e B = C + 0.05m
We have to find height of C ( Mandy)
From eqn (i)
C = 4.84 - B - A
or, C = 4.84 - (C + 0.05) - ( B - 0.1)
or, C = 4.84 - C - 0.05 - B + 0.1
or, 2C = 4.89 - B
or, 2C = 4.89 - ( C + 0.05)
or, 2C = 4.89 - C - 0.05
or, 3C = 4.84
or, C = 4.84/3
or, C = 1.613 m
help please!!!!!!!!!!!!!!
Answer:2
2b√5ab
Step-by-step explanation:
Answer:
[tex] \sqrt{20a {b}^{3} } \\ = \sqrt{4 \times 5 \times ab {b}^{2} } \\ = 2b \sqrt{5ab} \\ thank \: you[/tex]
Question 3(Multiple Choice Worth 2 points)
Write the equation 4x – 3y = 12 in the form y = mx + b.
Oy = t - 4
o
y = 3x – 12
o
IN
Y
ft +4
Oy = -x - 4
Answer:
y = [tex]\frac{4}{3}[/tex] x - 4
Step-by-step explanation:
Given
4x - 3y = 12 ( subtract 4x from both sides )
- 3y = - 4x + 12 ( divide terms by - 3 )
y = [tex]\frac{4}{3}[/tex] - 4 ← in the form y = mx + b
is 3/8 bigger or smaller than 3/5
3/8 is smaller than 3/5.
3/8 is smaller than 3/5
Find the LCD of both fractions:
Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, …
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, …
40 is the LCD of denominators 5 and 8.
Multiply both denominators by a number that makes it 40, multiply that same number by each numerator:
3/8:
3 x 5 = 15
8 x 5 = 40
15/40
3/5:
3 x 8 = 24
5 x 8 = 40
24/40
15/40 < 24/40
Hope this helps
Need help with these 3
Answer For Number 4: The distance between the two points is five.
Step-by-step explanation:
First outline the triangle, draw lines connecting the two points and form a right angle triangle. Use the graph to count the distance between point A and point B ( the one at the bottom point A, and the one towards the top point B ). Sorry, Imma stop explaining this because I suck at wording, I’ll show how to solve with picture.
