Answer: The number is 974
Step-by-step explanation:
First, any 3 digit number can be written as:
N = a*100 + b*10 + c
Where a, b, and c are single-digit numbers.
a is the hundreds digit
b is the tens digit
c is the unit digit
We can write the clues as:
#1: a + b + c = 20
#2: b = a - 2
#3: c = a + b - 12
Then we have a system of equations:
a + b + c = 20
b = a - 2
c = a + b - 12
To solve this, we need to isolate one of the variables in one equation and then replace this in the other equations, we can see that b is already isolated in the second equation, then we can replace that in the first and third equations:
a + (a - 2) + c = 20
c = a + (a - 2) - 12
Now we can see that c is isolated in the second equation, then we can replace that in the first one to get:
a + (a - 2) + (a + (a - 2) - 12) = 20
Now we can solve this for a:
a + a - 2 + a + a -2 - 12 = 20
4*a - 16 = 20
4*a = 20 + 16
4*a = 36
a = 36/4 = 9
With this, we can find the values of b and c.
b = a - 2 = 9 - 2 = 7
c = a + b - 12 = 9 + 7 - 12 = 4
Then the 3-digit number is:
N = a*100 + b*10 + c = 9*100 + 7*10 + 4 = 974
N = 974
What is the GCF of 64, 160 and 224
Answer:
32
Step-by-step explanation:
Factorize:
64= 2x2x2x2x2x2
160= 2x2x2x2x2x5
224=2x2x2x2x2x7
If you notice, the pairs have 5 2s. So the gcf is 2^5 or 32.
Hope this helps plz hit the crown :D
The greatest common factor of 64,160, and 224 will be 32.
What is the greatest common factor?The greatest common factor is the largest positive number which can be divided into given numbers evenly. The greatest common factor is the highest number which divides all the given numbers completely.
Given numbers 64, 160 and 224. The greatest common factor is calculated by factorizing the given numbers.
Factorize number 64.
64 = 2x2x2x2x2x2
Factorize the number 160.
160 = 2x2x2x2x2x5
Factorize the number 224.
224 = 2x2x2x2x2x7
The common number between all three numbers is 2² or 32. Therefore, the greatest common factor of 64,160, and 224 will be 32.
To know more about the greatest common factor follow
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What is the reason for step 3 in the two column proof below
1. ZPQR is a right angle
1. Given
2. MZPQR = 90°
2. Definition of Right Angle
3. m_PQS + MZSQR = m_PQR
3. ?
4. MZPQS + m_SQR = 90°
4. Substitution Property of Equality
5. ZPQS and 2SQR are complementary 5. Definition of Complementary Angles
Definition of Congruent Angles
Vertical Angles Congruence Theorem
Angle Addition Postulate
Definition of Angle Bisector
Answer:
The correct option is;
Angle Addition Postulate;
Step-by-step explanation:
The given two column proof can be presented as follows;
Statement [tex]{}[/tex] Reason
1. ∠PQR is a right angle [tex]{}[/tex] Given
2. m∠PQR = 90° [tex]{}[/tex] Definition of Right Angle
3. m∠PQS + m∠SQR = m∠PQR [tex]{}[/tex] Angle Addition Postulate
4. m∠PQS + m∠SQR = 90° [tex]{}[/tex] Substitution property of equality
5. ∠PQS and ∠SQR are complementary Definition of complementary angles
Given that the angle m∠PQR has angles m∠PQS and m∠SQR arranged adjacent to each other while sharing the same boundary segment, QS we have by the angle addition postulate;
m∠PQR is the sum of the angles m∠PQS and m∠SQR, therefore;
m∠PQR = m∠PQS + m∠SQR = 90°.
Solve the system of equations by graphing:
y= 2x +8
-x+y=0
Answer:
Slope = 4.000/2.000 = 2.000
Slope = 2.000/2.000 = 1.000
Step-by-step explanation:
the first answer is for the first problem and the second answer is for the second problem. Hoped it helped i tried my best.
The midpoint of ab is m(5-2). If the coordinates of a are (6,-5), what are the coordinates of b
Jessie went to the mall and bought a CD for $12.98, a skirt for $17.50, a T-shirt for $8.50, and a bottle of water for $1.02. Use mental math to find the total amount she spent.
Answer:
$40
Step-by-step explanation:
The use of the word "mental math" means round to the nearest whole. By doing this you turn $12.98 into $13 and $1.02 into $1 which will give you $40 in total. This problem doesn't need to round as it is a simple problem. The true answer is $12.98 + $17.50 + $8.50 +$1.02= $40.
Please help I would really appreciate it
Answer:
50°
Step-by-step explanation:
Sum of interior angle is equal to the sum of exterior angle
SOMONE PLEASE HELP ME WITH GEOMETRY PLZZZ
In the figure below, identify the altitude and the median.
Answer:
line CN is the altitude and AE is the median if i am correct
Step-by-step explanation:
A plane can travel 5000 kilometers
in 6 hours. How far can it travel in
1.5 hours?
Answer:
1250 Kilometers.
Step-by-step explanation:
Start by finding the proper ratio of 5000:6. Now divide 6/1.5 to see what we need to divide 5000 by. 6/1.5 is 4. So divide 5000 by 4. This gives you an answer of 1250 kilometers.
Answer:
[tex]1250km[/tex]
Step-by-step explanation:
To find how far the plane can travel in [tex]1.5[/tex] hours, we need to first find the speed of the plane.
It is given that the plane can travel [tex]5000[/tex] kilometers in 6 hours, so the following equation can be written:
[tex]s = 5000km/6hours[/tex] ([tex]s[/tex] refers to the speed of the plane)
[tex]= 833\frac{1}{3}km/hour[/tex]
To find how far the plane travels in [tex]1.5[/tex] hours, we can multiply the distance it travels in 1 hour to [tex]1.5[/tex] hours:
Distance travelled [tex]= 833\frac{1}{3}\times 1.5[/tex]
[tex]=1250km[/tex]
Hope this helps :)
Help anyone??????????
Answer:
x = -2, y = -4
x = -1, y = -1
x = 0, y = 2
x = 1, y = 5
Step-by-step explanation:
Just apply the formula into the different values for x.
x = -2
y = 3(-2) + 2
= -6 + 2
= -4
x = -1
y = 3(-1) + 2
= -3 + 2
= -1
x = 0
y = 3(0) + 2
= 0 + 2
= 2
x = 1
y = 3(1) + 2
= 3 + 2
= 5
(4x + 3y)^2 please tell me the wander ✌️
Answer:
16x^2+24xy+9y^2
Step-by-step explanation:
16x^2+24xy+9y^2
There are 15 marbles in a jar: 4 red, 5 green, and 6 yellow. You select one marble and do not replace it. Then, you select another marble. Determine if these events are independent
The events of picking marbles from the jar is independent
An event is independent if the occurrence of one event does not depend on another event.
For example, if you toss a coin and it lands on its head. You then flip another coin and it lands on its tail. These two events are independent. The face the second coin lands on do not depend on which face the first coin lands on. Also, the face that the first coin lands on does not depend on which face the second coin lands on.
In this question, after the first marble is picked, you do not return the first marble into the jar. Then you pick a second marble. The colour of the second marble does not depend on the colour of the first marble you picked. This means that the events are independent.
To learn more about independent events, please check: https://brainly.com/question/1393117?referrer=searchResults
-28=-5x+7
Solve the two step equation
Answer:
x = 7
Step-by-step explanation:
-28=-5x+7
Add 28 and 5x to both sides
5x = 35
Divide both sides by 5
x = 7
Answer: x=7
Step-by-step explanation:
Let's solve your equation step-by-step.
−28=−5x+7
Step 1: Flip the equation.
−5x+7=−28
Step 2: Subtract 7 from both sides.
−5x+7−7=−28−7
−5x=−35
Step 3: Divide both sides by -5
-5x/-5 = -35/-5
x=7
Help!!!!!!!!!!!!!!!!!!!!!!!!
=======================================================
Explanation:
Look through the table to see when f(x) = g(x)
This happens when both are equal to 1, which is in the fourth row, or when x = -1.
In other words,
f(-1) = 1g(-1) = 1So f(-1) = g(-1)
We can then say the solution to f(x) = g(x) is x = -1.
1) Given that the measure of Angle 2 = 115 degrees and the measure of Angle 8 = 115 degrees, is line m parallel to line p?
Answer:
YES
Step-by-step explanation:
When a transversal cuts two parallel lines, the alternate interior angles are congruent. So, for two lines to be parallel, their alternate interior angles has to be equal.
Angle 2 and angle 8 are alternate interior angles. They both measure 115°. Since these alternate interior angles are congruent, therefore, line m is parallel to line p.
Why are the solutions to the proportions StartFraction 40 over 8 EndFraction = StartFraction x over 10 EndFraction and StartFraction x over 40 EndFraction = StartFraction 10 over 8 EndFraction the same?
Answer:Because both result in the equation 8x = 400 which simplifies to 50.
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
no need
Lacy pays $15 for each hour of golf lessons and $10 for equipment rental. If the lesson is more than 3 hours long, she only pays $5 for equipment rental. Is the total cost of Lacy's lesson a function of the number of hours scheduled? Use a table to help explain your answer. Show your work.
Answer:
60
Step-by-step explanation:
15x3=45
5x3=15
15+45=60
2-b/3=-5/2
explain the process of how to solve
Answer:
b=
2
27
=13.500
Step-by-step explanation:
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 3x + 10 y is less than negative 3 over 4 times x minus 1 Part A: Clearly describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points) Part B: Is the point (8, 10) a solution to this system? Explain how you know
Answer:
See attached graph, and answers.
Step-by-step explanation:
The inequalities are given as;
i) y>3x+10
ii) y<-3/4x -1
Graphing the inequalities gives the following result
The solution area is that which is shaded and the lines are broken lines not complete
From the graph the solution is: { -2.9,1.2}
The point {8,10} is not a solution to the system. This is because it is not in the shaded area that represent the solution to the inequalities.
What is the measure of
2. The ratio of the length of a rectangle of its width is 6:5. Its length is 24 inches. What is its width?
Answer:
The width of the rectangle is 20 inches.
Step-by-step explanation:
Since the ratio of length to width is 6:5, the width will be 5/6 of the length. To find 5/6 of 24, multiply 24/1 by 5/6 and simplify. (24/1 is the fraction form of 24 and makes solving the problem a little easier.)
— 24/1 * 5/6 = 120/6
— 120/6 = 20
The width of the rectangle is 20 inches.
pls help! will give brainlist!
parts of New Orleans is currently below sea level and continues to sing each year. NASA imagines shows that One part of the city is currently 6 feet (72 inches) below sea level. Each year and continues to sing two more inches. Write an expression to describe the depth of New Orleans after any given year
Answer:
depth = 6th + 2(number of years)
which of the following if rational( )
a)
[tex]\pi[/tex]
b)log2 c)1.23123... d)none
You have to get everything on your list in 5 moves.
Can you do it?
Help please
목록에있는 모든 것을 5 개의 동작으로 가져와야합니다.
PLEASE HELP FAST POINTS AND BRAINLIST FOR ANSWER!
Answer:
y = 10x
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 10
y-intercept b = 0
Step 2: Write function
Plug in variables into the general form.
y = 10x + 0
y = 10x
Answer:
y = 10x
Step-by-step explanation:
Equation of a line: y = mx + b
y = 10x + 0 is also y = 10x
30 points. Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours. The distance of Tasha's balloon from the town is represented by the function y=8x + 20.
Which balloon was farther from the town at the begging, and which traveled more quickly.
Answer:
C.
Step-by-step explanation:
Hope this helps.
Part A Tim wants to buy three pairs of jeans. He compares the prices at a store in his neighborhood and at an online store. He finds that a pair of jeans costs $24 at the local store. If he buys online, each pair would cost $22, and he would have to pay a shipping fee of $6 per order.
Answer:
The pants from the local store would be $72.00
the pants from the online store would be $85.00
the difference in price is $13.00
therefore the pants from the local store would be cheaper
Step-by-step explanation:
IM NOT SURE IF THIS ANSWERS YOUR QUESTION PLEASE CLARIFY!!!!
Consider the function f(x) = 8x2 + 5x – 2.
Determine the output produced by the input value x = -2.
Answer:
f(-2) = 20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
f(x) = 8x² + 5x - 2
x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 8(-2)² + 5(-2) - 2Exponents: f(-2) = 8(4) + 5(-2) - 2Multiply: f(-2) = 32 - 10 - 2Subtract: f(-2) = 22 - 2Subtract: f(-2) = 20Write the equation of the line in slope-intercept form and general form.
(4, 2) (-3,9)
Answer:
y = -7x + 30
Step-by-step explanation:
Solves a systems of linear equations in two variables.
Solve the following systems by graphing
1) 2x + y = 5 and x-3y = - 8
2) 6x - 3y = - 9 and 2x + 2y = -6
Solve the following systems by substitution
3) y = 5x-3 and -x - 5y = - 11
4) 2x - 6 = 24 and x - 5y - 22
Solve the following systems by elimination
5) - 4x - 2y = -2 and 4x + 8y = -24
6) x - y = 11 and 2x + y = 19
During the basketball season, diane took 134 shots and made about 56% of them. a.) how many shots did diane make? b.) the team made a total of 498 shots. what precent of the teams made shots did diane make
Answer:
75 shots and 15.1%
Step-by-step explanation: