Step-by-step explanation:
Amount in Aggie bank account = 14,000 yuan
Initial exchange rate:
1 Australian dollar = 6.21 yuan
Initial amount in Australian dollars will be;
x aus dollar = 14,000 yuan
cross multiply
6.21x = 14,000
x = 14,000/6.21
x = 2,254.428 australian dollars
If the exchange rate increases to 6.37 Chinese yuan, her new balance in Australian dollars will be y;
1 Australian dollar = 6.37 yuan
y Australian dollar = 14,000 yuan
cross multiply
6.37y = 14,000
x = 14,000/6.37
y = 2,197.80 Australian dollars
The change in her account balance due to increase in exchange rate is y-x
y-x = 2,197.80 - 2,254.428
y-x = -56.626 aus dollars
This negative values shows a decrease in her account balance by 56.626 aus dollars due to increase in the exchange rate.
Damon is 7 years older than his brother Mark. The sum of Damon and marks age is 29
Answer:
Damon is 18, Damon's brother is 11 years old.
Step-by-step explanation:
So, the total age of them both is 29. Damon is 7 years older, so we use 29-7=22. Now, 22 is Damon's brother's age times 2, so we use 22/2=11. 11 is Damon's age is 11+7=18, and His brothers age is 11.
Answer:
daman's age = (7+x)
let his brother's age be 'x'
according to the question,
(7+x) + x =29
7+x+x = 29
2x = 29 - 7
2x = 22
x = 22÷2
x = 11 = age of daman's brother
age of daman = 7+11 = 18
3.6 + 8.3 find the sum plz need help
Answer:
11.9
Step-by-step explanation:
just add the two numbers :)
Answer:
the answer 11.9
Step-by-step explanation:
add by lining up the decimals
You are single and claim 1 allowance. You presently earn $520.00
per week. Starting next week you will receive a 5% increase in
pay and will earn $546.00. How much more will you have
withheld from your weekly pay for federal income tax?
Answer:1.99
Step-by-step explanation:
520 × 7.65= 39.78
546 × 7.65 = 41.77
41.77 - 39.78 =1.99
f(x)= 2x+6
g(x)= -3x+2
Find f(x)-g(x)
#1 The first term of the sequence is 8 and the common difference is 12.
First Five Terms are:
The Sequence is (highlight one): Arithmetic or Geometric
Answer:
Arithmetic
Step-by-step explanation:
Since the common difference remains the same between terms, its arithmetic!
The first five terms of the given AP is 8, 20, 32, 44 ,56.
What is a sequence ?A sequence is a list of numbers written in form of a constant difference or ratio.
According to the given question the given question the first term (a₁) of the AP is 8 and the common difference (d) is 12.
This is an AP because given in the question it self of common difference.
We know than n term of an AP is aₙ = a₁ + (n-1)d.
Given,
a₁ = 8.
a₂ = 8 + (2-1)12
a₂ = 8 + 12
a₂ = 20.
Similarly.
a₃ = 32.
a₄ = 44.
a₅ = 56.
learn more about AP here :
https://brainly.com/question/16947807
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For the function f(x) = x + 2, find f-'(x).
[tex]f(x) = x + 2[/tex]
[tex]y = x + 2[/tex]
Subtract the sides of the equation minus 2
[tex]y - 2 = x[/tex]
So ;
[tex] {f}^{ - 1}(x) = x - 2 [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
I NEED HELP!!!! ASAP
Answer:
21
Step-by-step explanation:
1. (-4)2= 16
2.15/(-3)= 5
3. 16+5=21
Answer:
11
Step-by-step explanation:
First do -4^2
Then divide -15 and -3
Then 16-5
11
PLEASE EXPLAIN HOW TO DO THIS PROBLEM
Answer:
y=1/3x + 2
Step-by-step explanation:
the y intercept is 2, and the second point goes up 1 over 3
rise over run
At a bakery, Victor makes 20 cupcakes. He puts them
in equal rows with 10 cupcakes in each row. Which
calculation can be used to find the number of rows of
cupcakes Victor makes?
Answer:
20/10 equals 2 rows. This is division
Step-by-step explanation:
Since you have 20 cupcakes and you put 10 in each row, you have to divide 20/10=2. This is your calculation.
4 is 1/4 of what number?
Answer:
16
Step-by-step explanation:
4 1/4
8 1/4
12 1/4
16 1/4
In the figure, m∠4=(10x+5)° and m∠5=(20x−15)° .
For what value of x is m∥n ?
Enter your answer in the box.
x =
Answer:
2
Step-by-step explanation:
plug in the answer
The value of x from the given angles is 6.3.
Given that, m∠4=(10x+5)° and m∠5=(20x−15)°.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
From the figure given below,
m∠4+m∠5 = 180° (Adjacent angles adds upto 180 degree)
⇒ (10x+5)°+(20x−15)° = 180°
⇒ 10x+20x+5-15 = 180°
⇒ 30x-10 = 180°
⇒ 30x=190
⇒ x=190/30
⇒ x=6.3
Therefore, the value of x from the given angles is 6.3.
To learn more about the adjacent angles visit:
https://brainly.com/question/12838185.
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i need help with my math
Answer:
a - 8^2
b-2^8
c-4^2
d-2^4
Answer:
The first on the left is the last one on the right, the second on the left is the second on the right, the third on the left is the third on the right, and the fourth on the left is the first on the right. Hope this helps.
Step-by-step explanation:
Which expression has a value of 2/3 when x = -5?
Answer:
What are your choices
Step-by-step explanation:
can somebody please help!!! asap!! thank you, anything is appreciated!!
Answer:
I believe its true, Im reallly sorry if its wrong
Step-by-step explanation:
Find the difference (10m+3)-(4m-2)
Answer:
6m + 5
Step-by-step explanation:
Answer:
6 +5 m
Step-by-step explanation:
4 to the power of 2 multiplied by 2 to tthe power of 4 =
Answer:
256
Step-by-step explanation:
brainlist?
Please help? It’s a basic time question and I don’t get it. Either I’m really dumb or it’s to complicated
Answer: D 1 hour 56 minutes
Answer:
D. 1 hour 56 minutes
Step-by-step explanation:
Well, if you add 2 hours to 12:14, it would be 2:14, so you know it's less than 2 hours. B and D are the only choices that have 1 hour. So, if Aaron left at 2:10, you have to subtract 4 minutes from 2 hours. That would be 1 hour and 56 minutes Aaron spent at the mall.
I hope you understood!! (It's ok if you didn't get it...some things can seem complicated at first!) Have an amazing day C:
what is the area of tile 10 in.6 in.and 8 in
Answer:
480
Step-by-step explanation:
u multiply 10x6x8=480
Solve showing steps. Use Insert equation to get the symbol and Ctrl with . For exponents x2 + 3x - 4 = 0 9x2 + 12x + 4 =0 (leave answer as a fraction) x2 - 2x - 3 = 0 x2 - 6x + 9 = 0 2x2 - 4x - 3 = 0 (round to two decimal places)*
Here all the given equations are in the form of
[tex]ax^2+bx+c=0[/tex]
The value of [tex]x[/tex] can be determined by the perfect square method as follows:
[tex]ax^2+bx+c=0[/tex]
[tex]\Rightarrow x^2+\frac{b}{a}+\frac{c}{a}=0[/tex]
[tex]\Rightarrow x^2+2\times\frac{b}{2a}+\left(\frac{b}{2a}\right)^2-\left(\frac{b}{2a}\right)^2+\frac{c}{a}=0[/tex]
[tex]\Rightarrow \left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2-\frac{c}{a}[/tex]
[tex]\Rightarrow x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\;\cdots(i)[/tex]
Now, for [tex]x^2+3x-4=0[/tex]
[tex]a=1, b=3, c=-4[/tex]
So, from equation (i)
[tex]x=\frac{-3\pm\sqrt{3^2-4\times1\times(-4)}}{2\times1}[/tex]
[tex]\Rightarrow x=\frac{3\pm\sqrt{9+16}}{2}[/tex]
[tex]\Rightarrow x=\frac{3\pm5}{2}[/tex]
[tex]\Rightarrow x=\frac{3+5}{2},\frac{3-5}{2}[/tex]
[tex]\Rightarrow x= 4, -1[/tex]
Similarly, for [tex]9x^2+12x+4=0[/tex]
[tex]a=9, b=12, c=4[/tex]
So, from equation (i)
[tex]x=\frac{-12\pm\sqrt{12^2-4\times9\times4}}{2\times9}[/tex]
[tex]\Rightarrow x=\frac{-12\pm0}{18}[/tex]
[tex]\Rightarrow x=\frac{-2}{3}[/tex]
For [tex]x^2-2x-3=0[/tex]
[tex]a=1, b=-2, c=-3[/tex]
[tex]x=\frac{-(-2)\pm\sqrt{(-2)^2-4\times1\times(-3)}}{2\times1}[/tex]
[tex]\Rightarrow x=\frac{2\pm\sqrt{16}}{2}[/tex]
[tex]\Rightarrow x=\frac{2\pm4}{2}[/tex]
[tex]\Rightarrow x=\frac{6}{2},\frac{-2}{2}[/tex]
[tex]\Rightarrow x=3.00, -1.00[/tex]
For [tex]x^2-6x+9=0[/tex]
[tex]a=1, b=-6, c=9[/tex]
[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times9}}{2\times1}[/tex]
[tex]\Rightarrow x=\frac{6\pm0}{2}[/tex]
[tex]\Rightarrow x=3.00[/tex]
For [tex]2x^2-4x-3=0[/tex]
[tex]a=2, b=-4, c=-3[/tex]
[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-3)}}{2\times2}[/tex]
[tex]\Rightarrow x=\frac{4\pm\sqrt{40}}{4}[/tex]
[tex]\Rightarrow x=\frac{4\pm2\sqrt{10}}{4}[/tex]
[tex]\Rightarrow x=\frac{4+2\sqrt{10}}{4},\frac{4-2\sqrt{10}}{4}[/tex]
[tex]\Rightarrow x=2.58, -0.58[/tex]
A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag? Explain your reasoning.
Answer:
114 red marbles, 6 black marbles.
Step-by-step explanation:
120/20=6
6*19=114
Evaluate 2p - 99 for p = 7 and g = 6.
The value of the expression is
Answer:
[tex](2 \times 7) - (9 \times 6) = - 40[/tex]
Please answer asap failure notices come out today
Answer:
It would be A.
Step-by-step explanation:
You can simply add the numbers to coordinates to see if matches.
For example, if you add the x + 2 to -3 and 2, its -1 and 4. Then if you add y+3 to -1 and 1, it's 2 and 4. I hope that makes sense :)
triangle D E F with what scale factor?
URGENT AND EASY 8TH GRADE MATH
Answer:
x < -8
Step-by-step explanation:
I used a calculator
Answer:
x<-8
Step-by-step explanation:
Let's solve your inequality step-by-step.
122<−2(8x+3)
Step 1: Simplify both sides of the inequality.
122<−16x−6
Step 2: Flip the equation.
−16x−6>122
Step 3: Add 6 to both sides.
−16x−6+6>122+6
−16x>128
Step 4: Divide both sides by -16.
−16x /−16 > 128 /−16
x<−8
Х
8
24
10
30
12
36
14.
42
what is the Domain and
Range
Answer: the range is 41, when finding the range you're finding the difference between the largest number and the smallest number so 42-X=1=41
Step-by-step explanation: when finding the domain you're simplifying the number, but since 41 can't be simplified it remains as 41
... The End
Approximately how deep below the ground are they capable of digging in meters?
select 3 ratios that are equivalent to 8:20
Answer:
4:10, 2:5 16:40
Step-by-step explanation:
just multiply or divide
Which list orders the numbers from least to greatest?
–5, 1, 3, –2
A number line going from negative 5 to positive 5.
1, –2, 3, –5
–2, –5, 1, 3
–5, –2, 1, 3
3, 1, –2, –5
Answer:
C (3rd one) is the answer since -5 is the smallest and 3 being the biggest.
Step-by-step explanation:
-5 -2 1 3
Answer:
The answer is the 3rd choice!! In letter options, Option "C"!!!
Step-by-step explanation:
Hope I helped!!! Have great day ahead!!
#StayKind #BeBlessed #ThisGirlBlessed
The first number in scientific notation must be...
Answer:
greater than or equal to 1 and less than 10.
Step-by-step explanation:
The first number in scientific notation must be ...
greater than or equal to 1 and less than 10.
In Aunt Peggy’s backyard there are cows and chickens. There are 20 more chickens than cows. The total number of legs is 130. How many chickens and how many cows are there? (Each cow has 4 legs, each chicken has 2 legs.) PLZ HELP! Will mark brainliest
Answer:
There are 15 cows and 35 chickens
Step-by-step explanation:
So first you take 20 and multiply it by two since there are two legs on each chicken. You get 40.
Then you subtract 40 from 130. You get 90.
Since the cow has double the legs of the chicken, you can count the cow as two chicken.
You divide 90 by 3. You get 30.
To get the number of chicken you divide 30 by 2 and you get 15.
You add 15 and 20 together and you get 35 chickens.
To get the number of cows you divide 30 by 2 and you get 15.
So you have your answer. 35 chicken and 15 cows.