We must write and solve a system of equations to see how many of each type of coin Carlos has.
The answer is:
There are 19 pennies.There are 19 dimes.There are 8 quarters.We start by defining the variables:
x = number of pennies in the box.y = number of dimes in the box.z = number of quarters in the box.We know there are 46 coins in total, thus:
x + y + z= 46
The number of pennies and dimes is the same, thus:
x = y
The total value of the coins in the box is $4.09, then:
x*$0.01 + y*$0.10 + z*$0.25 = $4.09
So we can write the system of equations:
x + y + z= 46
x = y
x*$0.01 + y*$0.10 + z*$0.25 = $4.09
First, we can replace x by y in the first and third equations (by using the second one) to get:
2y + z = 46
y*$0.11 + z*$0.25 = $4.09
Now we can isolate z in the first equation to get:
z = 46 - 2y
And replace that in the other equation:
y*$0.11 + (46 - 2y)*$0.25 = $4.09
Now we can solve the equation for y:
y*$0.11 + (46 - 2y)*$0.25 = $4.09
y*$0.11 + $11.50 - y*$0.50 = $4.09
y*($0.11 - $0.50) = $4.09 - $11.50
y*(-$0.39) = -$7.41
y = (-$7.41)/(-$0.39) = 19
if y = 19, then x = 19
By using the first equation:
x + y + z = 46
19 + 19 + z = 46
z = 46 - 19 - 19 = 8
We can conclude that:
There are 19 pennies.There are 19 dimes.There are 8 quarters.If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13997560
Please no "files": Simplify. Express your answer as the given base raised to a single exponent.
(9^6)^8
Answer:
9^48
Step-by-step explanation:
when parenthesis are involved, you multiply the powers
6*8=48
OMG FOR A BRAINLIST HELP ANSWER!!!!!!!!!
Answer:
C is answer
Step-by-step explanation:
A, B & C form a triangle where Z BAC = 90°
AB = 4.8 mm and CA = 6.6 mm.
Find the length of BC, giving your answer rounded
to 1 DP.
Answer:
BC = 8.2 mm
Step-by-step explanation:
This is a right triangle with BC as the hypotenuse
(BC)^2 = 4.8^2 + 6.6^2
(BC)^2 = 23.04 + 43.56
(BC)^2 = 66.6
Take the square root of both sides
BC = 8.1608823052
Rounded
BC = 8.2 mm
What is the sale price of a $825 tablet that has a 1/4 discount
Answer:
206.25
Step-by-step explanation:
825/2=412.5
412.5/2=206.25
How to multiple decimals by decimals.
Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
I need help pls
ASAP
Answer:
look at the picture ..........
Evaluate -1(-2)(-4)(-2)
Answer:
16
Step-by-step explanation:
Negative times negative = positive
-1(-2) = 2
2(-4) = -8
-8(-2) = 16
Please consider giving this answer brainliest if it helped you. Thanks!
Answer:
─16
Step-by-step explanation:
1(−2)(−4)(−2) when x=1, y=2, z=5 which equals, ─16
$299 for 4 tires. What is the cost for one tire? Round your answer to the nearest whole number..
$70 per tire
$75 per tire
$72 per tire
Susan's checkbook had a balance of $422.05 on April 1. On April 5, she wrote a check for $106.30 to the auto repair shop. On April 7, she
wrote a check in the amount of $310.00 for rent. On April 9, her dad sent her $95.00 to deposit into her account. What is the balance of
Susan's account after this deposit?
Answer: 422.05-106.30-310.00+95.00=100.75
Step-by-step explanation:
your subtracting the 422/106/310 while you adding the $95
An actor invested some money at 7% simple interest, and $27,000 more than four times the amount of 8%. The total annual interest earned from the investment was $54,030. How much did he invest at each amount?
PLEASE HELP!! I’LL MAKE YOU BRAINIEST!
Answer:
1. Markup: $2.70, Retail: $20.70
2. Markup: $9.45, Retail: $31.95
3. Markup: $25.31, Retail: $59.00
4. Markup: $24.75, Retail: $99.74
5. Markup: $48.60, Retail: $97.20
6. Markup: $231.25, Retail: $416.25
Step-by-step explanation:
To get the markup price of an item, multiply it by the markup percentage as a decimal. To get the decimal of a percentage, divide the number by 100. For example, 15% would be 0.15. And then to find how much the item has been marked up by, multiply the current price by the decimal.
$18 * 0.15 = $2.70
So $2.70 is the markup. To find the retail price, you need to add the markup price to the current price given.
$18 + $2.70 = $20.70
So your retail price is $20.70. Repeat these steps for each question to get the answers above.
Hope this helps.
Linear or nonlinear:
why?
Answer:
Nonlinear.
Step-by-step explanation:
Linear equations do not contain exponents. Since the equation given has an exponent, it would not form a straight line on a graph, and therefore, it is nonlinear.
Hope this helps.
Find the equation of the line that passes through the given points, in Slope-Intercept Form. (-2, -7) and (3, 8)
Answer:
y=3x-1
Step-by-step explanation:
m=y2-y1/x2-x1
m=8-(-7)/3-(-2)
m=8+7/3+2
m=15/5
m=3
y-y1=m(x-x1)
y-(-7)=3(x-(-2)
y+7=3(x+2)
y+7=3x+6
y=3x+6-7
y=3x-1
100 IF U GET THIS RIGHT!
Answer:
Eq
● y = mx + c
m = slope
c = intercept
y = 2/9 x + (-2)
slope m=2/9
3
Assume that a randomly selected subject is given a one density test those test scores are normally distributed with a mean of 0 and a standard deviation of 1
Answer:
See Image below for answer:)
Step-by-step explanation:
Raisins and peanuts, again! Sig’s class was told that their mixture is 80% raisins and 20% peanuts. In Sig’s sample, he counted 48 raisins. About how many peanuts would you expect to be in Sig’s sample?
Answer:
About 12 peanuts. This is 20% of 60 (nuts and peanuts together)
Step-by-step explanation:
Let there be a total of n pieces in the mixture. Then, focusing on raisins, 0.80n = 48, so that n = 60. Then the number of peanuts is 0.20(60) = 12.
Haley has 48 colored pencils and 3 cups (A, B, C). Cup A holds one more colored pencil than cup C. Cup B holds 2 more colored pencils than cup C. How many pencils does cup B contain?
Answer:
17 pencils
Step-by-step explanation:
Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.
Tell me if I'm wrong :)
Answer:
12
Step-by-step explanation:
share £165 in the ratio 2:3
50 POINTS!!
Write an
equation for the circle with centre (0,0), if (12,5) lies on its circumference
Answer:
x² + y² = 169
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
Given (12, 5 ) lies on the circumference , then the point will satisfy the equation.
Substitute (12, 5 ) into the equation
12² + 5² = r²
144 + 25 = r²
169 = r²
Then equation of circle is
x² + y² = 169
3(x-2)=18 can somebody plzz help me
Answer:
x=8
Step-by-step explanation:
3(x-2)=18
3x-6=18
3x=18+6
3x=24
x=24/3
x=8
Given : Simplify 3(x - 2) = 18
Solution : According to the question, here we are given an equation i.e 3(x - 2) = 18 where we need to get the value of x by simplifying it.
3(x - 2) = 18Cross multiplying 3 to the other side
x - 2 = 18/3x - 2 = 6Transposing -2 to the right hand side of the equation to get +2
x = 6 + 2Adding them we get the final answer
x = 8Henceforth, the required answer is 8
Need help with this question
What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24 7 24 25 31
Answer:
X = 25
Step-by-step explanation:
To find the hypotenuse of a right triangle you use pythagorean theorm Where C = Hyp
A = Leg1
B = Leg 2
A^2 + B^2 = C^2
7^2 + 24 ^2 = x^2
49 + 576 = x^2
625 = X^2 (Square root both sides)
25 = x
-- Gage Millar, Algebra 1/2 tutor
please help me. I need to find what W is
Answer:
9
Step-by-step explanation:
w+13-[tex]\frac{2w}{3}[/tex]=16
w · [tex]\frac{3}{3}[/tex] -[tex]\frac{2w}{3}[/tex]+13=16
[tex]\frac{w}{3}[/tex]+13=16
[tex]\frac{w}{3}[/tex]=3
w=9
Molly can received her weekly paycheck and she earned a total of $339.25. If she makes
$14.75 per hour, how many hours, h. did she work?
Answer:
2267.25
Step-by-step explanation:
add that fisrt one
I need a step by step explanation
n - 31
--------- = 2
4
Answer:
39
Step-by-step explanation:
4 x 2 = 8
8+ 31 is 39
A line that includes the point (-1,5) has a slope of 4. What is its equation in slope-intercept
form?
Answer:
y=4x+9
Step-by-step explanation:
The slope intercept form is [tex]y=mx+b[/tex]
So m=4 and we plug it into the equation [tex]y=4x+b[/tex]
Since there are x point is -1 and y point is 5 we plug those in replacing the corresponding variables [tex]5=4(-1)+b[/tex]
So the equation becomes [tex]5=4+b[/tex]
We add 4 to both sides [tex]5=4+b\\+4=+4[/tex] so 9 equals b
Then we rewrite the whole equation as [tex]y=4x+9[/tex]
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
#2
Reflexive sides
#3
Already given in question
#4
Given in the question
#5
By bisector definition
#6
Third angle therom
#7
Angle-Side-Angle
Done
Step-by-step explanation:
Missing reasons:
2. Reflexive3. Given4. Given5. Definition of bisect6. Third angle theorem7. ASA2x^(3)-3x^(2)+5-3x^(2)+2x^(2)-4x-9
Answer:
2x^(3) - 4x^(2) - 4x - 4.
Step-by-step explanation:
2x^(3)-3x^(2)-3x^(2)+2x^(2)-4x-9
Bring like terms together:
= 2x^(3) - 3x^(2) - 3x^(2) + 2x^(2) - 4x + 5 - 9
Now simplify:
= 2x^(3) - 4x^(2) - 4x - 4.
Answer:
[tex]2x^3-4x^2-4x-4[/tex]
Step-by-step explanation:
Subtract the numbers
[tex]2x^3-3x^2+5-3x^2+2x^2-4x-9[/tex]
[tex]2^3-3^2-4-3^2+2^2-4[/tex]
Combine like terms
[tex]2x^3-3x^2-4-3x^2+2x^2-4x[/tex]
[tex]2^3-4^2-4-4[/tex]
Rearrange terms
[tex]2x^3-4x^2-4-4x[/tex]
[tex]2^3-4^2-4-4[/tex]
Solution:
[tex]2x^3-4x^2-4x-4[/tex]
Julio is buying tickets for a football game from an online retailer. Tickets Inc. charges a fee of 6.75% per ticket and Max Tickets charges a flat fee of 55 per ticket. It
the tickets cost $79.50 each, from which retailer should Julio buy the tickets to pay a lesser ticket fee?
Answer:
Buy from Tickets Inc.
Step-by-step explanation:
a 84m2 b 111m2 c 125m2 d 150m2
Answer:
B
Step-by-step explanation:
:)
Answer:the answer is 84m2
Step-by-step explanation: