Answer:
She has 4 quarters, 13 dimes, and 10 nickels in her purse
Step-by-step explanation:
Let q be the amount of quarters, d be the amount of dimes, and n be the amount of nickels she has in her purse. We can use this to set up a system of equations:
25q+10d+5n=280
This is because a quarter is 25 cents, a dime is 10 cents, and a nickel is 5 cents. We also have to convert $2.80 to cents since all our other values are in cents.
d=q+9
She has 9 more dimes than quarters
n=q+6
She has 6 more nickels than quarters
We can solve this system using substitution (substitute q+9 for d and q+6 for n)
25q+10(q+9)+5(q+6)=280
25q+10(q)+10(9)+5(q)+5(6)=280
25q+10q+90+5q+30=280
40q+120=280
Subtract 120 from both sides
40q=160
Divide both sides by 40
q=4
Now we plug this back into the other equations to find the amount of nickels and dimes
d=q+9=4+9=13
n=q+6=4+6=10
She has 4 quarters, 13 dimes, and 10 nickels in her purse
convert 2FA.C8 base 16. express in Octal form, Quinary or pental form and Binary form
Using base conversion method, 2FA.C8 base 16 can be expressed as:
1372.628 in octal11022.3423120034 in pental1011111010.11001 in binaryWhat is 2FA.C8 base 16 expressed in Octal form?To express 2FA.C8 in octal form, it is first converted to a decimal form as follows:
where:
F = 15
A = 10
C = 12
2FA.C8 = 2 × 16^2 + F × 16^1 + A × 16^0 + C × 16^-1 + 8 × 16^-2
2FA.C8 = 762.7812510 in decimal.
Then, convert 762.7812510 to octal as follows:
First the integral part is converted to octal by repeated division by 8.The fractional part is converted to octal by repeated multiplication by 8 until we get to zero (here, we calculate up to ten digits)add the integral and fractional part together762 / 8 = 95 remainder 2
95 / 8 = 11 remainder 7
11 / 8 = 1 remainder 3
1 / 8 = 0 remainder 1
762 = 1372
Then;
0.78125 × 8 = 6 + 0.25
0.25 × 8 = 2 + 0
0.78125 = 0.62
Therefore, 762.78125 in decimal = 1372.628 in octal
What is 2FA.C8 base 16 expressed in pental form?To convert 2FA.C8 base 16 to pental form, we use its value in decimal for conversion.
2FA.C8 base 16 = 762.7812510 base 10Then, convert 762.7812510 to pental as follows:
First the integral part is converted to pental by repeated division by 5The fractional part is converted to pental by repeated multiplication by 5 until we get to zero (here, we calculate up to ten digits)add the integral and fractional part together762 / 5 = 152 remainder 2
152 / 5 = 30 remainder 2
30 / 5 = 6 remainder 0
6 / 5 = 1 remainder 1
1 / 5 = 0 remainder 1
762 in decimal = 11022 in pentalThen 0.78125 to pental:
0.78125 × 5 = 3 + 0.90625
0.90625 × 5 = 4 + 0.53125
0.53125 × 5 = 2 + 0.65625
0.65625 × 5 = 3 + 0.28125
0.28125 × 5 = 1 + 0.40625
0.40625 × 5 = 2 + 0.03125
0.03125 × 5 = 0 + 0.15625
0.15625 × 5 = 0 + 0.78125
0.78125 × 5 = 3 + 0.90625
0.90625 × 5 = 4 + 0.53125
Thus, 0.78125 in decimal = 0.3423120034 in pental
Therefore, 762.78125 in decimal = 11022.3423120034 in pental.
What is 2FA.C8 base 16 expressed in Binary form?To convert 2FA.C8 base 16 to binary form, we use its value in decimal for conversion.
2FA.C8 base 16 = 762.7812510 base 10Then, convert 762.7812510 to binary as follows:
First the integral part is converted to binary by repeated division by 2The fractional part is converted to binary by repeated multiplication by 2 until we get to zero (here, we calculate up to ten digits)add the integral and fractional part together762 / 2 = 381 remainder 0
381 / 2 = 190 remainder 1
190 / 2 = 95 remainder 0
95 / 2 = 47 remainder 1
47 / 2 = 23 remainder 1
23 / 2 = 11 remainder 1
11 / 2 = 5 remainder 1
5 / 2 = 2 remainder 1
2 / 2 = 1 remainder 0
1 / 2 = 0 remainder 1
762 base 10 = 1011111010 base twoThen 0.78125 to binary:
0.78125 × 2 = 1 + 0.5625
0.5625 × 2 = 1 + 0.125
0.125 × 2 = 0 + 0.25
0.25 × 2 = 0 + 0.5
0.5 × 2 = 1 + 0
0.78125 base 10 = 0.11001 base two
Therefore, 762.78125 base 10 = 1011111010.11001 base two.
Learn more about base conversion at: https://brainly.com/question/17946394
Find the perimeter of the figure.
O528.75 ft
O264.375 ft
O 41.25 ft
O 82.5 ft
Answer:
the answer for your question is 82.5 ft
Step-by-step explanation:
Using translation concepts, we have that the graph of f(x):Was shifted 9 units to the right and 3 units down ... O528.75 ft O264.375 ft O 41.25 ft O 82.5 ft.
Evaluate piecewise functions
Answer:
-27
Step-by-step explanation:
We will use the top equation, which is [tex]x^{3}[/tex], because -3 (the x) is less than 0.
-> h(-3) means we are solving for when x is -3
[tex]x^{3}[/tex]
[tex](-3)^{3}[/tex]
[tex]-27[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Help or the imposter will find you.
Answer:
1/4x... = 3; 3.2b = 7; 4.6y = -2; 7.5c = -3
Isolate the variable.
NEED HELP QUICK!!
This circle is centered at the point (2,6), and the length of its radius is 7. What is the equation
of the circle?
Answer:
(x - 2)² + (y - 6)² = 49
Step-by-step explanation:
Equation of a circle formula: (x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius
Given, center = (2, 6) and radius = 7
Substitute this information in the equation of a circle formula.
⇒ Equation of the circle: (x - 2)² + (y - 6)² = 49
Evaluate the expression for x = -4, y=-2, and z=-3.
x(y+z)^2?
Answer:
- 100
Step-by-step explanation:
x (y + z)²
= (-4) [(- 2) + (- 3)]²
= - 4 * (-5)²
= - 4 × 25
= - 100
Hope it helps ⚜
Step-by-step explanation:
we take the values given and we substitute in the equation above.
value of x=-4
y=-2
z=-3
hence we can solve for the equation above
-2(-2+-3)^2
we for everything in brackets first
(-2+-3)=-5
(-5)^2=25hence after solving we multiply by -2
-2(25)=-50
indeed that is my solution.
The equations of four lines are given. Identify which lines are parallel.
Line 1: y=12x−6
Line 2: x−2y=−1
Line 3: y=4x+6
Line 4: y+3=14(x−6)
What's the solution of the following linear system?
5x + 2y = 9
–5x – 2y = 3
Question 10 options:
(–3, 5)
(0, –2)
No solution
Infinitely many solutions
Answer:
No solution
Step-by-step explanation:
5x + 2y = 9
–5x – 2y = 3
0 = 12
This is false. Therefore the equation had no solution.
Hope this helps!
100 points+Brainliest for correct answer
An electron on an energy level has an energy of 16.32 x 10−19 J. It moves to another level by releasing 5.4 x 10−19 J of energy. Which of the following descriptions mostly likely explains what occurred?
The electron moved down to an energy level and has an energy of 10.92 x 10−19 J.
The electron moved down to an energy level and has an energy of 21.72 x 10−19 J.
The electron moved up to an energy level and has an energy of 10.92 x 10−19 J.
The electron moved up to an energy level and has an energy of 21.72 x 10−19 J.
Answer:
The electron moved down to an energy level and has an energy of
[tex]10.92 \times 10^{-19} \textsf{J}[/tex]
Step-by-step explanation:
[tex]\textsf{initial energy level of electron}= 16.32 \times 10^{-19} \textsf{J}[/tex]
[tex]\triangle E =\textsf{energy released}= 5.4 \times 10^{-19} \textsf{J}[/tex]
A positive energy change means that the electron absorbs energy, while a negative energy change implies a release of energy from the electron.
Therefore, when an electron absorbs energy, the electron moves up to higher energy levels, and when an electron releases energy, it moves to lower energy levels.
[tex]\triangle E=E_2-E_1[/tex]
[tex]\implies 5.4 \times 10^{-19} = 16.32 \times 10^{-19} -E_1[/tex]
[tex]\implies E_1= 16.32 \times 10^{-19} -5.4 \times 10^{-19}[/tex]
[tex]\implies E_1= 10.92 \times 10^{-19}[/tex]
Answer:
The electron moved down to an energy level and has an energy of
[tex]10.92 \times 10^{-19} \textsf{J}[/tex]
PLS DO 8.10 PLSS ITS DO TMR
8. 11/12 gallons of paint
10. 23/24 gallons of drink mix
Step-by-step explanation:
Note: When denominators are different, you must find a common denominator between the two fractions by multiplying both values
Ex: 1/3 and 1/4 = 4/12 and 3/12 common denominator is 12
8. Find the common denominator, 3/4 and 1/6, multiple the first denominator, 4, with three to get 12. Now multiply the numerator by the same number. 9/12 is our new fraction. Since the new denominator is 12, we have to get the other denominator to be 12 as well. Multiply 6 from 1/6 by 2 to get 12. Now do the same with the numerator. 2/12 is our new fraction, and all that's left is to add them together to find how much paint Damon has in total, which is 11/12 gallons.
10. Same concept as the above, 1/12 and 7/8 have a common denominator of 24, multiply 1 and 12 by two to get 2 and 24. Multiply 7 and 8 by 3 to get 21 and 24. 2/24 and 21/24 are our new fractions to add together. 23/24 is our answer.
Enjoy
10 man construct a building in 40 days . how long will it take 20 man to do this work ?
Answer:
20 days
Step-by-step explanation:
Question 10 please help and show step by step working out
Answer:
P and Q must have some relation f their integers but it doesn't give a value
Step-by-step explanation:
Answer:
The answer is
[tex]8 + \sqrt{48} [/tex]
the number of kilo gram of water in human body varies directly as the mass of the body. A 96kg person contains 64kg of water. how many kilo gram of water are in a 60kg person? (show your solution)
Find the solution to the system of equations,
x + y + z = 18
y+ z = 11
z = 8
A. x = 7, y = 3, z = 8
B. x = 7, y = 11, z = 3
C. x = 18, y = 3, z = 8
D. x = 18, y = 11, z = 8
Answer:
D should be it
Step-by-step explanation:
The marks of 10 pupils in jhs three are 88,80,75,70,38,45,70,60,60,50. Find the a. Arithmetic mean mark
b. Modal mark
c. Third quartile
HELPPPPP WILL GOVE BRAINLIEST
2. Which could be the scale factor of the following similar figures?
AAAA!!!HELP QUICK!!!
Answer:
x= 58°
Step-by-step explanation:
if 32° and x is a 90° angle,
32+x = 90
x = 90 - 32
x = 58°
HURRYYYYYY
Which of the following is equivalent to the expression shown?(
-5) (3 (-4) (-2)
A.-120
B.-8 C.-2
D.120
Answer:
A
Step-by-step explanation:
(-5) * (-12) * (-2)
(60) * (-2)
-120
The function m is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function? Choose 1 answer: (Choice A) m ( x ) = − 2 ( x − 6 ) 2 + 18 (Choice B) m ( x ) = − 2x^2 + 24x - 54 (Choice C) m ( x ) = − 2 ( x − 3 ) ( x − 9 ), Write one of the zeros
Answer:
Choice C
Step-by-step explanation:
Choice C already has X factored into a form which can readily be set equal to zero.
Eg. X - 3 = 0 and X - 9 = 0
To find the zeroes, simply solve for X
Answer:
this is the real correct answer
Step-by-step explanation:
HAHAHHAHHAHAHAHAHAHAHAHAHHA
Answer:
relaaaaaaa gezzzzzzzzzzzzzzzzzzzzzzzz
Step-by-step explanation:
NO LINKS!!! Select the correct answer. Consider functions f and g.
Answer:
-2.25
Step-by-step explanation:
x = -2.25
Answer:
C. x ≈ -2.25
Step-by-step explanation:
A spreadsheet or graphing calculator can help you make a table of values. The function values are closest together at ...
x ≈ -2.25
______
Additional comment
To 11 significant digits, the solution is x ≈ −2.2116632512.
QUESTION 3
Screenshots
Answer:
2. P= 12
Step-by-step explanation:
Remember that if you have an exponent in your variable , what you have to do is to cancel it out by putting a square root in both sides :
√p ^2 = √144 the exponent will cancel out and then just square root 144
p = 12 that's your answer :)
6.
Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.
Answer: [tex]y=\frac{5}{4} x-\frac{5}{4}[/tex]
8th grade math. I think
Answer:
113.04 ft^2
Step-by-step explanation:
A= πr^2 = π(6)^2 = π(36) = 113.04
Suppose that the radius is expanding at a rate of 0.6 inches per second. How fast is the volume changing when the radius is 2.8 inches? Use at least 5 decimal places in your answer.
Answer:
59.11221 in^3/s
Step-by-step explanation:
Given dr/dt = 0.6 in/s
Find dV/dt when r = 2.8 in.
[tex]V=\frac{4\pi r^3}{3}\\[/tex]
so [tex]\frac{dV}{dr}=4\pi r^2\\[/tex]
[tex]\frac{dV}{dt}=\frac{dV}{dr}\cdot\frac{dr}{dt}=4\pi r^2\cdot\frac{dr}{dt}[/tex]
Use r = 2.8 in and dr/dt = 0.6 in/s
get
[tex]\frac{dV}{dt}=59.11221 in^3/s[/tex]
1,2,3,5 and 7 are all common factors of two numbers.
Write down the digit that the two numbers end in
Answer:
After our solar system began to form, dust and gas combined into small bodies that formed the planets. What are these small bodies called?
dwarf planets
gas giant planets
planetesimals
terrestrial planets
Step-by-step explanation:
In the senior year of a high school graduating class of 100 students, 42 studied mathematics, 68 studied psychology, 54 studied history, 22 studied both mathematics and history, 25 studied both mathematics and psychology, 7 studied history but neither mathematics nor psychology, 10 studied all three subjects,and 8 did not take any of the three. Randomly select a student from the class and find the probabilities of the following events. (a) A person enrolled in psychology takes all three subjects. (b) A person not taking psychology is taking both history and mathematics
The probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.
ProbabilitiesTo find the probability of A) a person enrolled in psychology that takes all three subjects, and B) a person not taking psychology that is taking both history and mathematics; the following calculations must be made:
A) 10/100 x 100 = X0.1 x 100 = x10 = XB) 22/100 x 100 = X0.22 x 100 = X22 = XTherefore, the probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.
Learn more about probabilities in https://brainly.com/question/26677483
What’s the correct answer for the question?
Step-by-step explanation:
the dosage information bases only on age, on weight and the level of the fever. but we have no information about the fever.
so, we assume the fever is below 102.5° F.
the age is with 18 month in the valid range (0.5 to 2 years old) for the dosage.
so, all is left is to do the calculation about the weight.
24 pounds is based on the given information (1 kg ≈ 2.2 pounds) :
24/2.2 = 10.909090909... kg
this is rounded to full kg : 11 kg
the child should get 5 mg per kg, so this child has to get
5×11 = 55 mg
The surface area of the figure below is 1,620 square feet. True or false
DECORATING Taji is hanging a picture 5\8 of the distance from the floor to the ceiling. if the distance between the floor and the ceiling is 12 feet, how high should he hang the picture
Answer:
7.5 is the final answer
Step-by-step explanation: