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:
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can someone please help me :)
Answer:
1/2
Step-by-step explanation:
We have 2 points, (1,3) and (9,7). So, the slope of the line is (7-3)/(9-1)=4/8=1/2
Item 3 Solve. 7 2/5=2/3x−4 1/2 Enter your answer as a mixed number in simplest form in the box.
The simplified form of the expression 7 ²/₅ = (2/3) x - 4 ¹/₂ for the value of x is 357/20 or 17.85.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
7 ²/₅ = (2/3) x - 4 ¹/₂
Simplify the expression,
37/5 = (2/3)x - 9/2
37/5 + 9/2 = (2/3)x
(74 + 45) / 10 = (2/3)x
119 / 10 = (2/3)x
357/20 = x
x = 357 / 20
x = 17.85
The simplest form for the value of x, of the given expression, is 357 / 20.
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without looking delores took a handful of multi colored candies from a bag and found that 40% of the candies were yellow. suppose that there are 375 candies in the bag. How many can she expect to be yellow?
Answer:
150
Step-by-step explanation:
plzz help me asap no link for 30 points
Answer:
Liam's work is correct
Step-by-step explanation:
25 is a percent so should always write in fraction form
25/100
then you find what number multiply by 25 gives 150
which is 6, so you do the same on the bottom
which is 600
or 150 ÷ 25/100 which also gives 600
so 600 is the number
yefgfsugsuifdsgsdhgsfjhdgjdhgskhb
Write the prime factorization of 315.
315 =
(TRY TO ANSWER THIS WHILE UR AT IT PLS?
Answer:
315 = 3^2 × 5^1 × 7^1
Step-by-step explanation:
Triangle IJK has the coordinates listed:
Where is J' after a reflection over the y-axis?
Answer:
J' (- 10, - 8 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
J (10, - 8 ) → J' (- 10, - 8 )
Answer:
(-10, -8)
Step-by-step explanation:
The rule for a reflection over the y -axis is (x, y)→(−x, y) .
so J(10, -8) becomes J'(-10, -8)
someone please help and show work
Answer:
I already answered this for someone, but what you want to do is combine/cancel out like terms. So cancel out x on 2+7x/x to get 2+7/1. The first step in solving most rational equations is combining/canceling like terms, so follow through with that here.
If Martin buys a coke for $1.85 on a credit card that charges 22% interest compounded monthly what will the coke actually cost him if he does not pay the credit card off in five years?
Using compound interest, it is found that the coke will actually cost him $5.50.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The coke is bought for $1.85, hence [tex]P = 1.85[/tex].The interest rate is of 22%, hence [tex]r = 0.22[/tex].It is compounded monthly, hence [tex]n = 12[/tex].Five years, hence [tex]n = 5[/tex]Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(5) = 1.85\left(1 + \frac{0.22}{12}\right)^{12(5)}[/tex]
[tex]A(5) = 5.50[/tex]
The coke will actually cost him $5.50.
A similar problem is given at https://brainly.com/question/14239300
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 7,10,13,...
Find the 33rd term.
The 33rd term of the arithmetic sequence, 7,10,13.... is: 103
Recall:
An arithmetic sequence has a common difference, d, which is the difference between consecutive terms.nth term of an arithmetic sequence is found using: an = a + (n - 1)d, where, a is the first term and d is the common difference.The sequence, 7,10,13,... is an arithmetic sequence because:
13 - 10 = 10 - 7 = 3
Therefore, to find the 33rd term, substitute a = 7, n = 33, and d = 3 into an = a + (n - 1)d.
Thus:[tex]a_{33[/tex] = 7 + (33 - 1)3
[tex]a_{33[/tex] = 7 + (32)3
[tex]a_{33[/tex] = 103.
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Find the length of side x to the nearest tenth.
х
600
30°
17
Answer:
5.3
Step-by-step explanation:
Stare at the triangle for a bit. And try to add another one sharing the unmarked angle. You end up with an equilateral triangle. It means [tex]\sqrt7[/tex] is half the hypotenuse, At this point,
What is the value of x?
Step-by-step explanation:
19x - 4 = 110 ( alternate Exterior angle )
→ 19x = 110 + 4 = 114
→ x = 114/19
→ x = 6
therefore, value of x is 6°.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
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?
For the expression five minus 5X to have a negative value what must be true about the value of X
Answer:
x=0
Step-by-step explanation:
honestly this is just filler no reason to explain it hoenstly
1. What is the range of the function y = 2x-3 when the
domain is {-1, 0,5}?
y=2x-3
2x-3
2(-1)-3=-5
Evaluate each expression when n = 4 and b = 7
1. 2n – 3
2. 4b + 3
3. 3n + 8b – 13
Answer:
1. 5 2. 31 3. 55
Step-by-step explanation:
1. 2(4)-3=8-3=5
2. 4(7)+3=28+3=31
3. 3(4)+8(7)-13=12+56-13=56-1=55
Answer:
1 is 5, 2 is 31, and 3 is 55
Step-by-step explanation:
you substitute n in for 4, and for 1 you get 2(4)-3, and 2(4) =8-3 is 5. you substitute the n and b values in for the actual number, and you can get an easier answer.
What is it. As a fraction
Step-by-step explanation:
i Don't know?is that the questions?
write an equation of the line passing through (2,-3) and is parallel to the line y=-2x-3. I need it done fast 40 points
Answer:
y = -2x + 1
Step-by-step explanation:
A parallel line has the same slope but different y-intercept.
Transfer the slope (-2) and the ordered pair (2, -3) into point slope form.
Then make it from point slope form to slope intercept.
Hope this helps you. :)
You are organizing books on the shelf. Each book has a width of 3/4 inches. write and solve an equality for the numbers of books b can fit on the shelf
3/4 = 0.75 inches
24 inches / 0.75 inches
= 32 books
whats is 8:55 after 25 minutes
Transposing the formula R=R0 (1+at) for t gives?
thats ur answer,hope it helps
Answer:
t
Step-by-step explanation:
Please help me with this homework
Step-by-step explanation:
we see f(x), which is |x|.
and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.
shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.
so, a shift down by 3 units is done by adding -3.
therefore, C is the correct answer (the original f(x) - 3).
find the slope of the line
Answer:
-2
Step-by-step explanation:
[tex]\frac{(-5-1)}{(3-0)}[/tex] = [tex]\frac{-6}{3}[/tex] = -2
Select ALL of the equations that are true.
(Select all that apply.)
· 16 = 3.8
3
1
6
19
=
=
=
2.8. 13 = 0.7.52
Answer:
C ( 2.8 x 13 = 0.7 x 52)
Step-by-step explanation:
2.8 x 13 = 36.4
0.7 x 52 = 36.4
36.4 = 36.4
Answer:
Answer : 36.4
Step-by-step explanation:
thanks pi sa points uwu
Describe if the function is linear, exponential, or neither. Explain how you can tell
50 POINTS!!
Mr. reed and Mr. Bob are conducting a sensitive physics experiment and are standing
on a coordinate grid. They need to place a motion sensor exactly halfway between
them. If Mr. To is standing at coordinates (–7, 3), and Mr. Syal is standing at (5, -5),
where should the motion sensor be placed?
Answer:
(-1,-1) I think
7/9 - 2/8 x 49 in simplest form
Answer:
7/9 - 2/8 x 49
First, according to BODMAS we will solve multiplication7/9 - 2/8 x 49 = 7/9 - 49/4= -61/12Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Tamara has $500 in her bank account. Tamara withdraws money to buy concert tickets. After the withdrawal, the account balance changed by $75.00
Enter the amount of money, in dollars, Tamara must deposit to return her account to the orginal balance.
Tamara must deposits
Answer: 75
Step-by-step explanation:
Answer:
500 - 425 and that id 75 so Tamara has spent 425 dollars
6/9 x 3/8 in simplest form
refer the attachment for your answer !!
Solve this equation with a variable term on both sides:
5.1y + 21.3 = -0.3y - 24.6
What is the solution?
y=
What are the coordinates of point P?
O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)
Answer:
(-4, 3)
Step-by-step explanation:
You have to go -4 on the x-axis, and +3 on the y-axis
