Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have? a.8
b.11
c.22
d.41
Answers
so
0.05n + 0.10d + 0.25q = 4.65
the we are given that there are "three more quarters than dimes"
this translates to
q = d + 3
or
d = q - 3
then we are also given that there are "twice as many nickels as quarters"
this translates to
n = 2q
we plug d = q - 3 and n=2q
into the first equation and solve for q
0.05(2q) + 0.10(q-3) + 0.25q = 4.65
we distribute/multiply
0.10q + 0.10q - 0.30 + 0.25q = 4.65
then add like terms
0.45q - 0.30 = 4.65
then add 0.30 to both sides
0.45q = 4.95
then divide both sides by 0.45
and we get
q = 4.95/0.45 = 11
therefore there are 11 quarters
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Which of the following is equivalent to √-50a) 5√2b) 5i√2c) 5√2i d) -5√2
Answers
Answer:
1. sin P = 20/29
cos P = 21/29
tan P = 20/21
sin Q = 21/29
cos Q = 20/29
tan Q = 21/20
2. We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other
Step-by-step explanation:
For Part 1
With knowledge of SOH CAH TOA
Sin = Opp/Hyp
Cos = Adj/Hyp
Tan = Opp/Adj
So:
sin P = 20/29
cos P = 21/29
tan P = 20/21
sin Q = 21/29
cos Q = 20/29
tan Q = 21/20
For Part 2
We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other
Please show me steps to solve.
Answers
Hello!
To find how many meters are in 66 feet, we divide by 3.3 as shown below.
66/3.3=20
Therefore, 66 ft is equal to 20 meters.
I hope this helps!
If 1m = 3.3ft, it means that to find how many meters there are in a foot we do:
m * ft = x
m = amount in meters
ft = equivalent amount in feet
x = result
Therefore, to find the amount of meters in a foot:
ft / m = x
ft = amount in feet
m = equivalent amount in meters
x = result
Now we apply the formula to our case:
66 / 3.3 = 20
Answer:
Hope it helped,
BioTeacher101
Answers
Answer:
WZX=57
Step-by-step explanation:
90-33 = 57
You don't have to use the equation unless you want to check yourself.
Decimal:
Percentage:
Likelihood of the event happening:
Answers
combed
The word combed has 6 letters, only 1 of which is the letter d.
So, the fraction is 1/6.
Dividing, if you round to the nearest hundredth, the decimal is 0.17.
Using the fraction again, if you multiply 1/6 by 100 to make it 100/6 and then round to the nearest hundredth, you get 16.67 %.
Likelihood of the event happening can be represented in any of the above ways shown above.
Answers
She earns a commission is $3180 this month.
What are Arithmetic operations?
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that she earns 6% commission on the first $45,000 in sales and 8% on anything over that.
If Sally had $51,000 in sales this month
We have to determine her commission earnings this month
For the amount, she sold above $45,000
So, 51000 - 45000 = 6000
So her commission earning in this month as
⇒ (6/100)×45000 + (8/100)×6000
⇒ 2700 + 480
⇒ 3180.
Hence, her commission earning is $3180 this month.
Learn more about Arithmetic operations here:
#SPJ2
Answers
The solution graph provided shows a shaded region below the line y = x + 2. This line has a slope of 1 and a y-intercept of 2.
To determine the correct system of linear inequalities represented by the graph, we need to consider the shading and the type of inequalities involved.
Looking at the shaded region below the line, we can see that it includes the points that satisfy the inequality y ≤ x + 2. This means that y is less than or equal to x + 2.
Therefore, the correct system of linear inequalities represented by the solution graph is:
y ≤ x + 2.
Option C: -5 < x < 5 and y ≤ x + 2 satisfies this condition.