Tanya has 26 quarters and 18 dimes.
Given that Tanya has 44 quarters and dimes which worth $8.30, we need to find the number of each coin type,
To find the same we will use the concept of system of Linear equations,
Let's solve this problem step by step.
Let's assume Tanya has x quarters and y dimes.
The value of x quarters is 25x cents.
The value of y dimes is 10y cents.
According to the given information, the total value of the quarters and dimes is $8.30, which is equivalent to 830 cents. So we have the equation:
25x + 10y = 830 ...........(Equation 1)
Tanya has 44 coins in total:
x + y = 44 ...........(Equation 2)
Now, we can solve this system of equations (Equation 1 and Equation 2) to find the values of x and y.
Multiplying Equation 2 by 25, we get:
25x + 25y = 1100 ...........(Equation 3)
Subtracting Equation 3 from Equation 1, we eliminate the x term:
25x + 10y - (25x + 25y) = 830 - 1100
-15y = -270
Dividing both sides by -15, we get:
y = (-270)/(-15) = 18
Substituting the value of y back into Equation 2, we can find x:
x + 18 = 44
x = 44 - 18 = 26
Therefore, Tanya has 26 quarters and 18 dimes.
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Twice a number plus another number is 15. The sum of the numbers
alone is 11. Find the numbers.
Answer:
2x + 3 = 15
x = 6
2(6) + 3 = 15
Step-by-step explanation:
This is the answer because:
1) 2 x 6 = 12, 12 + 3 = 15
2) 2 + 6 + 3 = 11
Therefore, the answer is 2(6) + 3 = 15
Hope this helps!
Answer:
x=6
Step-by-step explanation:
2x+3=15
15-3=12
12/2=6
x=6
The factorization of 12x + 15 is
solve the following
(a) 5+(-5)=?
(b) 5-(-5)=?
(c) 5-(5)=?
(d) 5-/-5/=?
Answer:
A) 0
B) 10
C) 0
D) I dont understand that one
Step-by-step explanation:
~~—☆☆☆——☆☆☆——☆☆☆——☆☆☆——☆☆☆—~~
Answer:
Hello! I hope I’m correct!! :)
Step-by-step explanation:
Solving a:
Remove the parentheses And now you subtract→ 5 - 5
→ = 0
___________________________
Solving b:
Remove the parentheses Simplfiy (or add/subtract the number)→ 5 + 5
→ = 10
____________________________
Solving c:
Remove the parentheses Now you subtract→ 5 - 5
→ = 0
_____________________________
For d, there is no answer since you can’t really solve it
Answers: 0,10,0 and the last one you can’t solve.Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ^-^
#Thank you so much for using brainly!
Best regard! :D
~By, BrainlyAnime~
~~—☆☆☆——☆☆☆——☆☆☆——☆☆☆——☆☆☆—~~
You must be in degree mode to find sin pie/3
A.) True
B.) False
Answer:
(i) False. Let A = 30° and B = 60°, then sin (A + B) = sin (30° + 60°) = sin 90° = 1 and, sin A + sin B = sin 30° + sin 60° = 1/2 + √3/2 = 1+√3/2(ii) True. sin 0° = 0 sin 30° = 1/2 sin 45° = 1/√2 sin 60° = √3/2 sin 90° = 1 Thus the value of sin θ increases as θ increases.(iii) False. cos 0° = 1 cos 30° = √3/2 cos 45° = 1/√2 cos 60° = 1/2 cos 90° = 0 Thus the value of cos θ decreases as θ increases.(iv) True. cot A = cos A/sin A cot 0° = cos 0°/sin 0° = 1/0 = undefined.
Step-by-step explanation:
Determine the unit rate: 2 dozen tennis balls for $36
Answer:
It is $1.50 or $18 per dozen tennis balls
Step-by-step explanation:
1. Divide the total price by the number of tennis balls.
36/24= 1.50
So it cost $1.50 per tennis ball.
2. Then solve by dividing the total price by the number of tennis balls:
36/2= $18
"So it cost $18 per dozen tennis balls"
It is $1.50 or $18 per dozen tennis balls
The area of a parallelogram can be found by the equation area = (b)(h)
Find the height of a parallelogram that has an area of 10 1/2 in² and a base of
¾ in.
The height of the parallelogram is ( ) inches.
21/2=(3/4) (h)
(4/3) (21/2) = (4/3) (3/4) (h)
Answer: Height = 14
Step-by-step explanation: 10.5 / 0.75 = 14
Answer:
The height is 14 inches
Sean and his crew operate a fishing charter company. They caught a blue
marlin and an amberjack. The weight of the blue marlin was 12 times as
great as the weight of the amberjack. The combined weight of both fish was
1,014 pounds. How much did each fish weigh?
Sydney drove 117 miles in 3 hours. If she continued at the same rate, how far would she travel in 19 hours?i
Answer:
741 miles in 19 hours
Step-by-step explanation:
Evaluate the expression for x = 0.1
1.2x
Answer:
0.12
Step-by-step explanation:
This is the answer because:
1) First, rewrite the expression including the x value
1.2(0.1)
2) Next, we know 1.2 x 1 is 1.2, but since we have one decimal point in 0.1, we have to move the decimal point in 1.2 once to the left. This will make the answer 0.12
Hope this helps! :D
Vx+2 = 5
Find the solutions
Answer:
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x
=
3
V
Answer:
Vx = 3
Step-by-step explanation:
The answer below is because you move all terms not containing Vx to the right side of the equation.
Domain is the set of all input values, while range is the set of all:
a independent variables
c. relations
b. output values
d. functions
Please select the best answer from the choices provided
Answer:
The answer that would best complete the given statement above would be option B.
A little confused by this question. Does anyone know how to do this?
Thank you !
Answer:
[tex]if \: {i}^{k} = 1. \: \iff\:then \: k = 0 .\\ if \: {i}^{k} = i. \: \iff\: then \: k = 1. \\ if \: {i}^{k} = - 1. \: \iff\: then \: k = 0 \: and \:i = - 1 . \\ if \: {i}^{k} = - i. \: \iff \:then \: k = 1 \: and \: i = - i.[/tex]
Step-by-step explanation:
♨Rage♨
A grid model with 100 squares. 73 squares are shaded.
What percent of the model is shaded? |_____|
What is the equivalent ratio? |____|
What is the equivalent decimal? |____|
What is the equivalent fraction? |____|
Answer:
Step-by-step explanation:
73% is shaded
Equivalent ratio 73/100 times 2
146/200 is the ratio
0.73 is the decimal
73/100 is the fraction
Answer:
73%
Step-by-step explanation:
Find the z-score such that: a. The area under the standard normal curve to its left is 0.5 b. The area under the standard normal curve to its left is 0.9826 c. The area under the standard normal curve to its right is 0.1423 z
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the mean is above or below the raw score. If the z score is positive then the raw score is above the mean while if the z score is negative then the raw score is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean, \sigma=standard\ deviation[/tex]
a)
From the normal distribution, 0.5 corresponds to a z score of 0.
z = 0.
b) From the normal distribution, an area of 0.9826 to the left corresponds to a z score of 2.11.
c) An area to the right of 0.1423 = an area of 0.8577 ( 1- 0.1423) to the left. From the normal distribution, an area of 0.8577 to the left corresponds to a z score of 1.07
Steve has 54 stamps in his collection of 13 cent, 29 cent, and 45 cent stamps, totaling a value of $15.98. If the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80. Find the number of each type of stamp in his collection.
Answer:
Number of 13 cents stamp = 14
Number of 29 cents stamp = 24
Number of 45 cents stamp = 16
Step-by-step explanation:
We are told he has 54 stamps in total.
These stamps are;13 cent, 29 cent, and 45 cent stamps.
Let's call number of 13 cent($0.13) stamp A
Call number of 29 cent($0.29) stamp B
Call number of 45 cent($0.45) stamp C
Thus;
A + B + C = 54
We are told the total value of the 3 stamps are $15.98.
Thus;
0.13A + 0.29B + 0.45C = $15.98 - - - (eq2)
Now we are told that if the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.
Thus;
2(0.13A) + 0.29B + 0.45C = 17.8
0.26A + 0.29B + 0.45C = 17.8 - - - (eq 3)
Solving the 3 equations simultaneously, we have;
A = 14
B = 24
C = 16
We have;
Number of 13 cents stamp = 14
Number of 29 cents stamp = 24
Number of 45 cents stamp = 16
Khloe drove 204 miles in 4Hours
Answer:
She was driving 51 miles per hour.
Step-by-step explanation:
51 x 4 = 204
204 / 4 = 51
Juan has $10 to spend. He needs $13 to purchase the supplies. Explain how to find the amount of money Juan is short
Answer:
he can do things that well give him money
Step-by-step explanation:
Answer:
below
Step-by-step explanation:
First, you must find the total he has: $10
Then, you must find how much he need: $13
Then, you take the smaller number to take away from the greater number: 13-10
Finally, you subtract those two numbers to find the amount the Juan needs: $3
Four cats and five mice enter a race. In how many ways can they finish with a mouse placing first, second, and third
The requried, there are 240 possible ways the race can finish with a mouse placing first, second, and third.
To find the number of ways the race can finish with a mouse placing first, second, and third, we can use the concept of permutations.
Since the mouse is guaranteed to finish first, there are 5 mice to choose from for the first position.
Once the first place is determined, there are 4 mice left for the second position.
After the first two positions are filled, there are 3 mice left for the third position.
Now, we need to determine the order of the cats. There are 4 cats to choose from for the fourth position.
The total number of ways the race can finish with a mouse placing first, second, and third is given by the product of these choices:
Number of ways = 5 (for first place) * 4 (for second place) * 3 (for third place) * 4 (for fourth place)
Number of ways = 5 * 4 * 3 * 4
Number of ways = 240
There are 240 possible ways the race can finish with a mouse placing first, second, and third.
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Jim earned $95 after working days. At this rate how many days will it take him to earn $285?
Answer:
It will take him 3 days if every day he earns $95.
95 * 3 = 285
285/95 = 3
Step-by-step explanation:
Hope this helped you! <3
Corrected, the answer is 15.
Triangle GHJ is shown below.
12 in.
H
16 in.
What is the perimeter, in inches, of Triangle GHJ
Answer:
the perimeter of triangle abc is 56.4 and the perimeter of triangle GHJ is 14.1 cm the perimeter of triangle DEF
Step-by-step explanation:
Determine the unit rate: 24 tickets for $480
Answer: 20 dollars per ticket
Step-by-step explanation:
Divide the number 480 by 24.
480 ÷ 24 = 20
The answer is 20. Hope this helps!
Step-by-step explanation:
If 24 tickets cost $480 the cost of 1 is:
Let the unit be u
480 ÷ 24= u
[tex] \frac{480}{24} = u[/tex]
[tex]20 = u[/tex]
[tex]u = 20[/tex]
Hope this helps....
Hence the unit = 20
Marisa is making a scale drawing of her house. Her
house is 49 feet wide. On her drawing, the house is 7
inches wide. What is the scale of Marisa's drawing?
The scale is
Answer:
7 ft per in
Step-by-step explanation:
If she has a scale where 49 feet is represented by 7 inches, then the ratio is:
49 feet to 7 inches which can be written as:49 ft /7 in = 7 ft / in
So the scale is 7 feet per inch
PLZ HELP
A train travels at an average speed of 67.5 miles per hour. At this speed, how far could the train travel in 3.25 hours?
Answer:
219.375 miles
Step-by-step explanation:
1 hour the train can go for 67.5 miles
so multiply the 67.5 with 3.25 and then you will get 219.375
Question 12
Which expression is equivalent to –6 (
-6 (- 1)?
One beehive produces 64 pounds of honey per year. How many
beehives does it take to produce 5,504 pounds of honey?
Answer:
86 beehives, Hope I helped!
Step-by-step explanation:
I'm to lazy :P
Can someone please help me? I've been trying to figure this out for days. I don't understand how to construct a confidence interval.
I know that the red box has a mean value of 15.11 and the blue box's mean is 16.83. The difference of sample means is 1.74. The red standard deviation is 3.868 and the blue one is 2.933. the standard deviation of the sample mean differences is 0.69. How do I use all this to construct the interval with no difference between the population means.
Step-by-step explanation:
Confidence interval is:
CI = x ± CV · SE
where x is the mean, CV is the critical value, and SE is the standard error.
There is no difference between the population means, so x = 0.
The confidence level is 95%, so CV = 1.96.
SE = 0.69.
So the confidence interval is:
CI = 0 ± (1.96) (0.69)
CI = (-1.35, 1.35)
1.74 is outside of the confidence interval, so it is statistically significant.
Answer:
Step-by-step explanation:
same i need help
how to subtract 1/4 minus 1/8
Answer:
You would multiply 1/4 by 2/2 in order to get a common demoninator. The answer is 1/8.
Step-by-step explanation:
in 3/5 ÷ 3= 1/5 the quotient is greater than or less than the dividend
Answer:
quotient less than the dividend
Step-by-step explanation:
In this equation:
Dividend = 3/5
Divisor = 3 and
Quotient = 1/5
The question asks you to compare 3/5 to 1/5 and 3/5 is larger therefore the quotient less than the dividend.
Fine the area of this figure round your answer to the nearest hundredth use 3.14 to approximate
This value is approximate because we used the approximation pi = 3.14
=================================================
Explanation:
For problems like this, a common approach is to break the figure into smaller pieces. Find the area of each small piece, then add up those individual areas to get the full area we're after.
------------
A = area of triangle
A = 0.5*base*height
A = 0.5*6*8
A = 24 square feet
-----------
B = area of the semicircle with radius r
B = 0.5*(area of full circle with radius r)
B = 0.5*(pi*r^2)
B = 0.5*pi*r^2
B = 0.5*3.14*4^2 .... the diameter is 8, radius is half that
B = 25.12 square feet
--------------
C = area of the full figure
C = A+B
C = 24+25.12
C = 49.12 square feet
Evaluate the expression -7(-3)(-1)
Answer:
− 21
Step-by-step explanation:
-7(-3)(-1)
21(-1)
-21