Answer:
x = 32 y = 16 z = 64
Step-by-step explanation:
x is the 1st number
y is the 2nd number
z is the 3rd number
The first number is twice the second number so
x = 2 y
The third number is twice the first number.
z = 2 x
Their sum is 112
x + y + z = 112
Plus in what we know:
x + y + z = 112
2 y + y + 2x = 112
3y + 2x = 112 Let's solve for y and subtract 2x from each side
3y = 112 - 2x Divide both sides by 3
y = [tex]\frac{112 - 2x}{3}[/tex]
Now plug our answer back in to solve for x.
x = 2y
x = 2 ( [tex]\frac{112 - 2x}{3}[/tex] )
x = (224 - 4x) / 3 Multiply each side by 3.
3x = 224 - 4x Add 4x to each side
3x + 4x = 224
7x = 224 Divide each side by 7
7x / 7 = 224 / 7
x = 32
Now we can solve for z.
z = 2x
z = 2 ( 32 )
z = 64
Now we can solve for the numerical value of y.
x + y + z = 112
32 + y + 64 = 112
96 + y = 112 Subtract 96 from each side.
y = 112 - 96
y = 16
Answer:
1st number = 36
Second = 16
Third = 64
Step-by-step explanation:
We have 3 numbers
Let's call the second number g
Then the first would be , 2x g = 2g
Then the third would be twice the first = 2 x 2g = 4g
We add up all numbers and equate it to 112
2g + g +4g = 112
7g = 112
g = 112/7
g = 16
First number = 2g = 2x16 = 32
Second number = g = 16
Third number = 4g = 4x16 = 64
Therefore the numbers are 32, 16, 64.
I hope this helps!
5x-6y=17 whats the value of y?
Answer:
see below
Step-by-step explanation:
5x - 6y = 17
5x - 17 - 6y = 0
5x - 17 = 6y
y = [tex]\frac{5x - 17}{6}[/tex]
Answer:
Hey there!
Original Equation: 5x-6y=17
Subtract 5x: -6y=17-5x
Multiply by -1: 6y=5x-17
Divide by 6: y= [tex]\frac{5x-17}{6}[/tex].
Let me know if this helps :)
Angela tried to solve an equation step by step. \begin{aligned} \dfrac34+m&=\dfrac54\\\\ \dfrac34+m-\dfrac34&=\dfrac54+\dfrac34&\green{\text{Step } 1}\\\\ m&=2&\blue{\text{Step } 2} \end{aligned} 4 3 +m 4 3 +m− 4 3 m = 4 5 = 4 5 + 4 3 =2 Step 1 Step 2 Find Angela's mistake.
Answer:
The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides
She wrote 5/4+3/4 instead of 5/4-3/4
Step-by-step explanation:
Correct solution:
[tex] \frac{3}{4} + m = \frac{5}{4} [/tex]
Subtract-3/4 from both sides
[tex] \frac{3}{4} - \frac{3}{4} + m = \frac{5}{4} - \frac{3}{4} [/tex]
Simplify
[tex]m = \frac{5}{4} - \frac{3}{4} \\ m = \frac{1}{2} [/tex]
The mistake Angela made was when she subtracted -3/4 from both sides, she didn't change the sign and She wrote 5/4 + 3/4 instead of 5/4-3/4.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that performs the arithmetic operations are called arithmetic operators.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
We have given the expression as
⇒ 3/4 + m = 5/4
The mistake Angela made was when she subtracted -3/4 from both sides, she didn't change the sign.
She wrote 5/4 + 3/4 instead of 5/4-3/4
Here is the correct work :
Subtract 3/4 from both sides from the equation,
⇒ 3/4 + m - 3/4 = 5/4 - 3/4
⇒ m = (5 - 3)/4
⇒ m = 2/4
⇒ m = 1/2
Learn more about the arithmetic operations here:
brainly.com/question/25834626
#SPJ2
Given
m2 ABD is a straight angle.
m ABC = 8x - 41°
mZCBD = 9x + 17°
Find m2CBD:
А
B
D
Answer:
∠CBD = 125°
Step-by-step explanation:
The angle sum theorem tells you that ...
∠ABC +∠CBD = ∠ABD
8x -41° +9x +17° = 180° . . . . . . a "straight angle" has a measure of 180°
17x -24° = 180° . . . simpify
17x = 204° . . . . . . add 24°
x = 12° . . . . . . . . . . divide by 17
Now the measures of the angles can be found from their expressions.
∠ABC = 8(12) -41° = 55°
∠CBD = 9(12) +17° = 125°
the quotient of 8 and the cube of a number
Answer: [tex]\frac{8}{n^{3} }[/tex]
Step-by-step explanation:
the quotient of 8 and the cube of a number is 8 divided by the number cubed where n is the number.
Kim's class voted on a location for a field trip. • 3/8of the class voted for the science museum. • 3/16 of the class voted for the water park. The rest of the class voted for the zoo. What fraction of the class voted for the zoo?
In Alaska, the temperature can get cold really quickly. Yesterday, the temperature dropped 3° (° means degrees) for 9 straight hours. How would you find the temperature in Alaska after 9 hrs.?
Answer:
Step-by-step explanation:
Idk
Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a functions, or
neither (if the set is not a relation).
F=[lxy) x+y=10)
Answer:
I believe the answer is function
Step-by-step explanation:
-8 - x = x - 4x
what is x?
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 8 - x = x - 4x}[/tex]
Collect like terms
⇒[tex] \sf{ - 8 - x = - 3x}[/tex]
Move 3x to left hand side and change it's sign
Similarly, move 8 to right hand side and change it's sign
⇒[tex] \sf{ - x + 3x = 8}[/tex]
Collect like terms
⇒[tex] \sf{2x = 8}[/tex]
Divide both sides of the equation by 2
⇒[tex] \sf{ \frac{2x}{2} = \frac{8}{2} }[/tex]
Calculate
⇒[tex] \sf{x = 4}[/tex]
Hope I helped!
Best regards!!
what is the length of the segment ĀB
Answer: 12
Step-by-step explanation: 7+5
Tell whether the ratios form a proportion. 3/7 , 12/21
Answer:
The answer is No, they aren't proportionate
Step-by-step explanation:
Answer:
They are not.
Step-by-step explanation:
I need help with math! I don't understand it. Can someone show me step by step.
Answer:
7) refer to d=rt triangle so answer is t= d/r
8) rearrange by dividing so it should be PV/nR = T
9) move 5r to other side which become 2p = q - 5r then divide by 2. final answer is p = q-5r/2
10) multiply both side by b/1 so b got cancel on left side
right side become c(b/1) which is same as cb
then you divide both side by c to isolate b on the right side
final answer is a/c=b
Solve by factoring:
5x^2 + 19x + 12 = 0
When solving polynomial equations, first set the equation
equal to zero, then check for a Greatest Common Factor.
Since there is no greatest common factor, this will make life a
little bit more difficult because we will have to factor the trinomial.
First, find all possible factors for constant term.
I have listed these in red below.
Make sure to reverse the factors since in each binomial,
the first term is different so we need to reverse the factors.
The factors of 5x² will just be 5x and z.
After finding factors for the constant and the leading
coefficient for your trinomial, we can eliminate some factors.
If you have an odd coefficient on the middle term,
you can eliminate any pairs of even factors.
So the group I crossed out in purple below will be eliminated.
Another strategy is to use factors a little closer together.
So I would go with the 4 and 3 group.
Surely enough, our trinomial does factor with the 4 and 3.
Now set the factored trinomial equal to 0.
Then use zero product property and you have your answer.
Answer:
-0.27
Step-by-step explanation:
5x^2=25x
25x+19x=44x
44x+12=0
-12=0-12
44x=-12
44x/44=-12/44
x=-0.27
WILL GIVE BRAINLY What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. ___cm²
Answer:
K = 13.15 cm^2
Step-by-step explanation:
Sides:
a = 8 cm
b = 3.75631 cm
c = 7 cm
Angles:
A = 90.9699 °
B = 28 °
C = 61.0301 °
Other:
P = 18.7563 cm
s = 9.37816 cm
K = 13.1452 cm^2
r = 1.40168 cm
R = 4.00057 cm
Agenda: A = angle A
B = angle B
C = angle C
a = side a
b = side b
c = side c
P = perimeter
s = semi-perimeter
K = area
r = radius of inscribed circle
R = radius of circumscribed circle
Please, help me I’m so dumb
Answer:
14036Step-by-step explanation:
You know that 9 = 10 - 1.
Then 9 of something is equal to 10 of it less one of it. Here, that "something" is four.
[tex]\begin{array}{cl}9\times4&=10\text{ fours}-\boxed{1}\text{ four}\\&=\boxed{40}-4\\&=\boxed{36}\end{array}[/tex]
_____
Comment on this math
This illustrates a shortcut for multiplying by 9 that can be convenient for mental arithmetic. The idea is to multiply by 10, which just involves adding 0 (or moving the decimal point), then subtract the original number.
A rectangle has sides that measure 12x + 7 units long and 9x+ 11 units long. What is the expression that represents the perimeter of the rectangle?
Answer: P= 2{(12x+7) + (9x+11)} or 42x + 36
Step-by-step explanation:
The formula for the perimeter of a rectangle is P=2(l+w)
P= 2{(12x+7) + (9x+11)}
Simplified to 42x + 36
Answer fast please
8.
What is the 9th term in the quadratic sequence
shown below?
2, 5, 10, 17, 26, ...
A. 97
B. 82
C. 71
D. 65
Let f(x) = 7x - 13. Find f1(x).
Answer:
-20
Step-by-step explanation:
f(-1) = 7(-1) - 13
f(-1) = -20
Please Please Please help !!
Answer:
g(x) = x - 7
Step-by-step explanation:
g(x) is the same as saying "y".
you need to move the y-intercept down 7 units, therefore putting the term - 7 into the expression.
Answer:
g(x) = x-7
Step-by-step explanation:
First find f(x)
f(x) is the function y =x
f(x) = x
g(x) = f(x) + C C < 0 moves it down
We want to move it down 7 units
g(x) = f(x) -7
g(x) = x-7
Which of the following expressions has more than one term? (1 point)
O dz
O 4
Ot-t
O 18
'dz' because d and z are different values.
Answer:
t-t
Step-by-step explanation:
A vertex can represent
a person, object, location, or number
a variable or a pathway
a point, and nothing more
True or False: The absolute value of a number is always positive, no matter what number you choose.
Answer:
Yes, it's always positive
Answer:
true
Step-by-step explanation:
it's just the distance from zero so it has to be positive either you go negative or positive!
The gravitational potential energy, ‘G’ of an object is directly proportional to its height, ‘h’ above
the surface of Earth. When the object is at a height of 40 meters above Earth, its gravitational
potential energy is 2200 joules. Find
I. An equation connecting G and h.
II. The gravitational potential energy of the object when it is at a height of 22 meters above the
surface of Earth.
III. The height of the object above the surface of Earth when it has a gravitational potential
energy of 3025 joules.
Answer:
see explanation
Step-by-step explanation:
Given that G is directly proportional to h then the equation relating them is
G = kh ← k is the constant of proportion
To find k use the condition h = 40 when G = 2200, then
2200 = 40k ( divide both sides by 40 )
55 = k
1
G = 55h ← equation of proportion
11
When h = 22, then
G = 55 × 22 = 1210 joules
111
When G = 3025, then
3025 = 55h ( divide both sides by 55 )
h = 55 m
Kenji earned the test scores below in English class.
79, 91, 93, 85, 86, and 88
What are the mean and median of his test scores?
A. Mean: 79; Median: 93
B. Mean: 87; Median: 93
C. Mean: 87; Median: 87
D. Mean: 93; Median: 87
Answer:
C
Step-by-step explanation:
Mean is all the numbers divided by the amount of numbers listed and Median is what ever number is in the middle (when in order of value). when there's not a exact middle number u add the two numbers in the middle and divide it by two
You start at (1,0) And move down 2 units and left 4 units where do you end
Answer:
(-3,-2)
Step-by-step explanation:
Starting at the point (1, 0)
Now we move don 2 units (so the y-value reduces in two units) making now the point (1,0-2) which is (1, -2)
then we move to the left 4 units (so the x-value has now to be decreased in 4 units) making the point: (1-4, -2) which is (-3, -2)
Answer:
It would be -2,4.
Step-by-step explanation:
you start at (1,0) and go down 2 to -2 then left 4 you would land on -2,4
if anyone could please help fast i will mark as brainiest
Answer:
[tex]\large\boxed{x^{36}}[/tex]
Step-by-step explanation:
Consider the properties:
[tex]\boxed{(x^a)^b=x^{a\cdot b}}[/tex]
[tex]\boxed{x^a \cdot x^b=x^{a+b}}[/tex]
[tex]\therefore (x^3)^6 \cdot (x^2)^9= x^{18} \cdot x^{18}= x^{36}[/tex]
Answer is 36
(x3)6 * (x2)9
x3*6x2*9
Describe AND correct the error below.
17 + (-31) = -48
Answer:
the positive 17 is the problem. so it should be: -17 + (-31) = -48
Step-by-step explanation:
if 17 is positive, the equation is just: -14 = -48 (which isnt correct)
The table lists the test scores William and Andre received on five math assessments. Which student had the higher median? By how much? A: Andre by 7 points B: William by 5 points C: William by 7 points D: Andre by 5 points
Answer: c
First you organize the numbers into order then you find the middle of both. The middle of Williams was 89. Then you do the same for Andres and you get 82. To get the difference of them both you have to subtract both of them to get 7 and that’s c.
What are some objects that could be used to represent points, lines, and planes?
Answer:
Examples of a plane would be: a desktop, the chalkboard/whiteboard, a piece of paper, a TV screen, window, wall or a door. Examples of lines would be:
To solve such examples of we need to know about points, lines, and planes.
PointA Point can be described as an exact location in space but it has no size. A point is represented by a dot which shows the point in pictures and diagrams.
In the diagram, a line is represented by a capital letter with an arrow on the letters, such as [tex]\underset{AB}{\rightarrow}[/tex].
The examples of a point are a ball, a ball bearing, pin location on a map, etc.
LineA line is drawn when an infinite number of dots are connected together in both directions extended forever.
Examples of a line are a thread string, a wire, etc.
PlaneA plane is drawn when an Infinitely number of intersecting lines extend forever in all directions.
In the diagram, a point is represented by a dot with capital letters.
Examples of a plane are a blackboard, a movie screen, etc.
Learn more about point, lines, and plane:
https://brainly.com/question/1887287
Solve the equation for y. 2y=8
Answer:
four
Step-by-step explanation:
2(4)=8
Find the perimeter to this irregular shape.
Answer:23 mm
Step-by-step explanation:
add both 15 and 8 because they are as long as the one on the bottom
Answer:
70
Step-by-step explanation:
find the small unknown side by subtracting the two sides across from it. 12-7=5. add the 15 and 8 for the big unknown side. 15+8=23. add all the sides. 12+15+7+8+5+23=70