Answer:
8 years old
Step-by-step explanation:
Set Amy's age as x.
Kevin's age will be 2x, since he is two times as old as Amy.
Father's age will be 5x, since he is five times as old as Amy.
x + 2x + 5x = Sum of the ages = 64
x + 2x + 5x = 64
Combine like terms: 8x = 64.
Divide 8 on both sides: x = 8.
Amy's age = 8.
Hope this helps!
Directions: Directions: Identify x1, x2, y1, and y2. Solve for the of the line passing through the given points. Identify if the slope is positive, negative, zero, or undefined.
1.(2,1) and (5,3)
2.(-2,1) and (1, -3)
3.(4,1) and (5,1)
4.(7,-1) and (7,5)
5.(-2,1) and (3,6)
Step-by-step explanation:
Number 1
m = (y2 - y1)/(x2 - x1)
m = (3 - 1)/(5 - 2)
m = 2/3 POSITIVE
Number 2
m = (y2 - y1)/(x2 - x1)
m = (-3 - 1)/(1 + 2)
m = -4/3 NEGATIVE
Number 3
m = (y2 - y1)/(x2 - x1)
m = (1 - 1)/(5 - 4)
m = 0/1
m = 0 ZERO
Number 4
m = (y2 - y1)/(x2 - x1)
m = (5 - 1)/(7 - 7)
m = 4/0
m = UNDEFINED
Number 5
m = (y2 - y1)/(x2 - x1)
m = (6 - 1)/(3 + 2)
m = 5/5
m = 1 POSITIVE
What is the equation of variation if p varies jointly as q and r, and the constant of variation is 4?
a. p = 4qr
b. q = 4pr
c. 4 = pqr
d. r = 4pq
Answer:
a
Step-by-step explanation:
Given p varies jointly as q and r then the equation relating them is
p = kqr ← k is the constant of variation
Given k = 4 , then
p = 4qr ← equation of variation
Rewrite the following in ascending order.
(a) -3/8, 5/-12, -7/16, -13/18, 11/-24
Answer:
⇛-13/8 , -11/24, -7/16, -5/12 , -3/8
Step-by-step explanation:
Given numbers are -3/8 , 5/-12, -7/16, -13/18 , 11/-24
The can be written as -3/8, -5/12, -7/16, -13/18, -11/24
The denominators = 8,12,16,18,24
LCM of the denominators = 144
-3/8 = (-3/8)×(18/18) = -54/144
-5/12 = (-5/12)×(12/12) =-60/144
-7/16 = (-7/16)×(9/9) = -63/144
-13/18 = (-13/18)×(8/8) = -104/144
-11/24 = (-11/24)×(6/6) = -66/144
Ascending order of the numbers
= -104/144 , -66/144, -63/144, -60/144, -54/144
-13/8 , -11/24, -7/16, -5/12 , -3/8
h(x)=2x^(2)
evaluate for h(3/2)
Answer:
hope it helps you.........
Which is greater, 2 to the fifth power or 5 squared?
Answer: 2^5
Step-by-step explanation:
2^5= 2x2x2x2x2=32
5^2=5×5=25
Write the equation of the line with a slope of 3/4 that passes through the point (4,-2)
Step-by-step explanation:
Slope = 3/4
Point = (4,-2)
Using the point Slope form ,
=> x - 4 = 3/4 ( y -(-2))
=> x -4 = 3/4 ( y -2)
=> 4x -16 = 3y -6
=> 4x -3y -16+6=0
=> 4x -3y -10 = 0
Giúp mình giải với mọi người. Cẩm ơn rất nhiều
Answer:
B. 4√5
Step-by-step explanation:
x bằng căn bậc hai của (8^2 + 4^2) theo định lý pytago, trong tam giác vuôn, c^2 = a^2 + b^2
the answer gzzydyyxggxggxxghyzyxycycgcycyc
Step-by-step explanation:
we start with the first and the third equations, as they have the same content structure.
we multiply the whole first equation by 2, so that the z terms become aligned, and then we add both equations :
-8x + 4z = 28
-2x - 4z = 22
--------------------
-10x + 0 = 50
x = -5
-2x - 4z = 22
-2×-5 - 4z = 22
10 - 4z = 22
-4z = 12
z = -3
y = x + z + 12
y = -5 - 3 + 12 = 4
Examine this set of ordered pairs. (2,5) (8,9) (11,6) (18,2) (7,9) Is the set of ordered pairs a function? Choose the answer that's entirely correct.
(A) The set of ordered pairs is a function, because each input has exactly one output.
(B) The set of ordered pairs is not a function, because the output 9 has two different input values.
(C)The set of ordered pairs is a function, because each output has exactly one input.
(D) The set of ordered pairs is not a function, because the number 2 is both an input and an output.
Answer: A
Step-by-step explanation:
as long as the x-coordinates are all different numbers then it is a function.
please the answer and how i should write it
Answer:
86,400,000 bacteria
Step-by-step explanation:
2^5=32, 3^3=27, 10^5=100,000
32*27*100,000
Answer:
There are 86400000 bacteria in the Petri dish.
Step-by-step explanation:
Write in standard form:
[tex]2^{5}[/tex] = 2 x 2 x 2 x 2 x 2 = 32
[tex]3^{3}[/tex] = 3 x 3 x 3 = 27
[tex]10^{5}[/tex] = 10 x 10 x 10 x 10 x 10 = 100000
32 x 27 x 100000
= 86400000
hope this helps and is right!! p.s. i really need brainliest :)
I need help I will give 40 points and Brainliest!!!!!!Finding the Slope of a Line from a Table
x
y
What is the slope of the linear function represented in
the table?
O-7
-7
0
17
oi
0
O 7
Answer:
hmmmmm
Step-by-step explanation:
Drag each tile to the correct box. Complete the sequence for deriving the quadratic formula using the quadratic equation in standard form, .
Answer:
see the picture
Step-by-step explanation:
By the below figure (6) is the initial equation
(1) next added (b/2a)^2 on both sides to make it whole square on left side which gives (4) in (4) both terms are added on the right side to make it (5)
then square root on both sides gives (2) and now taking b/2a to the right side gives the final quadratic formula (3)
We can obtain the quadratic formula from completing the square method as shown.
The quadratic formula is derived from the completing the square method as follows;
Given the quadratic equation;
[tex]ax^{2} + bx + c =0[/tex]
Dividing through by a we have;
[tex]x^{2} + \frac{b}{a} + \frac{c}{a} = 0[/tex]
Adding half of b to both sides of the equation, we have;
[tex](x + \frac{b}{a}) ^{2} = \frac{-c}{a} + \frac{b^2}{4a^2}[/tex]
Taking LCM of the right hand side;
[tex](x + \frac{b}{2a})^{2} = \frac{b^2 - 4ac}{4a^2}[/tex]
Making x the subject of the formula;
[tex]x = \frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex]
Learn more: https://brainly.com/question/14283892
Find the x
1/2x+3/4=x5/6
Answer:
[tex]x=\frac{9}{4}[/tex]
Step-by-step explanation:
Answer:
[tex]\boxed{\boxed{\sf x=\frac{9}{4} }\:\sf or \:\boxed{x=2.25}}[/tex]
Step-by-step explanation:
[tex]\sf \cfrac{1}{2}\:x+\cfrac{3}{4}=\:x\cfrac{5}{6}[/tex]
Subtract x (5/6) from both sides:
[tex]\longmapsto\sf \cfrac{1}{2}\: x+\cfrac{3}{4} -x\left(\cfrac{5}{6}\right)=0[/tex]
Subtract 3/4 from both sides:
** Anything subtracted from zero gives its negation.**
[tex]\longmapsto\sf -\cfrac{1}{3}\:x=-\cfrac{3}{4}[/tex]
Multiply both sides by -3, reciprocal of - 1/3
[tex]\longmapsto\sf x=-\cfrac{3}{4} (-3)[/tex]
Express - 3/4 (-3) as single fraction:
[tex]\longmapsto\sf x=\cfrac{-3(-3)}{4}[/tex]
Multiply -3 and -3 = 9
[tex]\longmapsto\sf x= \cfrac{9}{4}[/tex]
______________________________________
The graph of the function y = -2x + 4 is shown below.
If the line is translated 2 units up, which equation will best
describe the new line?
Answer:
y= -2x +6
Step-by-step explanation:
One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a linear model that represents the growth of the tree. How long does it take for the tree to reach its maximum height of 28 feet?
which expession represents the product of 3 and 7
3 × 7
i took the test
Mike is going to have to wait for 5
more minutes in order for the factory to
be at lunch so he can put Boo back.
What percentage of time out of an hour
does he have to wait
Answer:
12%
Step-by-step explanation:
if you divide 5 from 1 hour which is 60 min you get 12 and convert that to percent and you get 12%
write the equation of the line perpendicular to y=2/5x+7/5 that passes through the point (-4,3)
Answer: y=-5/2x+9/2
Step-by-step explanation: We are using (-4,3) as our x and y and -5/2(reciprocal of 2/5) as our slope.
y-3=-5/2(x+4)
multiply x and 4 by -5/2
y-3=-5/2x+3/2
add 3 to both sides
y=-5/2x+9/2
PLEASE HELP ASAP GIVING BRAINLIEST
Answer:
brainliest mo munako
Step-by-step explanation:
bago answer pede maliwaag ba
What is the reason for #2?
A by AA
B Given
C Reflexive property
D Vertical Angles
Answer:
I am not sure but i will say C.
Step-by-step explanation:
Hannah was asked to make d the subject of the formula
d-7=4d+3/e
Finish her question.
Answer:
[tex]d = \frac{-1}{e} - \frac{7}{3}[/tex]
Step-by-step explanation:
In order to make d the subject of the formula, you need to isolate it.
- You started with d-7 = 4d + 3/e
- Move 4d to the left side by subtracting 4d from both sides to cancel it from the right so you have...
d - 7 = 4d + 3/e This will leave you left with -3d - 7 = 3/e
-4d -4d
- Then move over the -7 by adding 7 to both sides...
-3d - 7 = 3/e This will leave you left with -3d = 3/e + 7
+7 +7
- Finally to get d by itself divide both sides of the equation by -3 and you'll be left with...
[tex]d = \frac{3}{-3e} -\frac{7}{3}[/tex]
- You can cancel out the 3 in the -3/3e and make it -1/e so your final answer will be
[tex]d = \frac{-1}{e} - \frac{7}{3}[/tex]
jason and ben are coworkers five years ago jason was 2.5 times as old as ben if ben is 31 how old is jason]
Answer:
65
Step-by-step explanation:
if 5 years ago Ben is 26 years old then Jason was 65.
If you multiply 26 by 2.5 then you'll get 65.
Mark is a plumber. He charges $28 per job plus S20 per hour. If the
total labor bill for a job was $58, how many hours did Mark work?
Answer:
He worked 1.5 hours
Step-by-step explanation:
58-28= 30
30/20 per hour
1.5
Help me with this math question please.
Answer:
The second one : x + 90 + 61 = 180
Step-by-step explanation:
I hope this helps!
Let me know if you need the explanation.
Please help! I will give brainlist
Which image does not show a pair of triangles that can be proven similar point
by Angle-Angle?
Answer:
a
Step-by-step explanation:
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
please help i dont know if its a growth or decay factor or what percentage its going up by
Answer:
Check my notes
Step-by-step explanation:
I made note of this last year
0.5 compared to 2/4 ??? PLEASE ANSWER . I really need help :(
Answer:
They are the same
Step-by-step explanation:
0.5 = 2/4
Half of 100 is 50
2/4 is half
Solve the radical equation, if possible. (30 points)
Would prefer work shown as it would help, thank you.
Answer:
4.25
Step-by-step explanation:
Shown in photo
poor word choice i need explanation
Answer:
Huh?
Whats the question?