[tex]\bold{\huge{\pink{\underline{ Solution}}}}[/tex]
[tex]\bold{\underline{ Given :- }}[/tex]
The sum of two numbers is 25One number exceeds another by 5[tex]\bold{\underline{ To \: Find :- }}[/tex]
We have to find the two numbers.[tex]\bold{\underline{ Let's \: Begin:- }}[/tex]
Let the number be x
Therefore,
Another number be x + 5
According to the question,
[tex]\sf{ x + ( x + 5 ) = 25}[/tex]
[tex]\sf{ x + x + 5 = 25}[/tex]
[tex]\sf{ 2x + 5 = 25}[/tex]
[tex]\sf{ 2x = 25 - 5}[/tex]
[tex]\sf{ 2x = 20 }[/tex]
[tex]\sf{ x = 20/2}[/tex]
[tex]\sf{ x = 10 }[/tex]
Thus, The first number is 10
Therefore,
Another number will be
[tex]\sf{ = x + 5 }[/tex]
[tex]\sf{ = 10 + 5 }[/tex]
[tex]\sf{ = 15 }[/tex]
[tex]\sf{\red{Hence, \:The \:two \:numbers\: are \:10 \:and\: 15}}[/tex]
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
What is the answer to 5x6+8+9-5 Pls help i dont remember pemdas mean
Answer:
The answer is 42
Step-by-step explanation:
PEMDAS=
parenthesis, exponents, multiplication, division, addition, subtraction.
Answer:
The answer is 42
PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction
HELPPPPP WILL GOVE BRAINLIEST
2. Which could be the scale factor of the following similar figures?
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.
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
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]
Rectangular park is 85m wide and 125 long. Given the length and width of another rectangular park that has the same perimeter but a larger area.
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.
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:
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:
what is the value of 5 at is used in this 102,587
Answer:
hundreds
Step-by-step explanation:
It is the third digit from right which is 100
Another example say 700 what is the value of the 7=hundreds because it it 3rd digit from right
Hope it helps :)
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)
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
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]
POS systems are most effective when combined with
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
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)
pahelp po guys thank u po
Answer:
Hello there, hope it's help !! :)
To divide a multiple of 10:
Find a division fact to start with
Look at the remaining zeros
Subtract the number of remaining zeros in the divisor from the number of remaining zeros in the dividend
-
HAHAHHAHHAHAHAHAHAHAHAHAHHA
Answer:
relaaaaaaa gezzzzzzzzzzzzzzzzzzzzzzzz
Step-by-step explanation:
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:
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!
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.
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.
plssss help me Po plsssssssss
Answer:
Step-by-step explanation:
Your boss hands you a memo with a summary of the monthly data. The number of imports is shown as fx), and the number of exports is shown as gx). Use the data in the table below, representing both functions, to explain to your boss the solution to the system of equations and what that solution represents. Use complete sentences.
Answer:
The solution to the system of equations would be if the number of imports and exports are the same. In this case, the solution is January because the number of imports and exports are both 3.
Step-by-step explanation:
I’m smart
The surface area of the figure below is 1,620 square feet. True or false
8th grade math. I think
Answer:
113.04 ft^2
Step-by-step explanation:
A= πr^2 = π(6)^2 = π(36) = 113.04
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
Phillip hod 45 marbles. He gave 2/3 to his Brother. How many marbles did he give to his Brother?
Answer:
15
Step-by-step explanation:
3/3 = 45
2/3 = ?
3/3 - 2/3 = 1/3
1/3 * 45 = 15
Answer:
30
Step-by-step explanation:
45/3=15
15x2=30