Answer:
First number:15
Second number: 7
Step-by-step explanation:
To find the 2 numbers, we can use system of equations.
Let's use x for the first number and y for the second number. Our first equation would be:
x-y=8
This equation comes from the first sentence: the difference of the 2 numbers is 8. The second equation would be
2x+3y=51
This equation comes from the second part of the question.
We can use elimination method to find x and y.
x-y=8
2x+3y=51
Let's eliminate x. To do so, the x in both equations must be equal to each other. Since one is x and another is 2x, we must multiply the first equation by 2 to get the same x.
2x-2y=16
2x+3y=51
Now that the x are the same, we can subtract the equations.
-5y=-35
y=7
With our y value, we can find x by plugging y into any of the equations.
x-7=8
x=15
Since we found our x and y, the first number is 15 and the second number is 7.
I will give you brainliest!!!! Add the equations.
Answer:
7x = 9
Step-by-step explanation:
3x -2y = 15
4x+2y = -6
---------------------
7x + 0y = 9
7x = 9
B is two fifths of c 4a = 3c work out the ratio a:b:c give your answer in its simplest form where a, b and c are integers
Answer:
a : b : c = 12 : 10 : 15
Step-by-step explanation:
Given that: b = [tex]\frac{2}{5}[/tex] of c
i.e b = [tex]\frac{2c}{5}[/tex] ............... 1
2c = 5b
So that;
c = [tex]\frac{5b}{2}[/tex] .................... 2
Also,
4a = 3c
a = [tex]\frac{3c}{4}[/tex] ................ 3
⇒ a = [tex]\frac{3}{4}[/tex] × ([tex]\frac{5b}{2}[/tex])
a = [tex]\frac{15b}{8}[/tex] ................. 4
15b = 8a
b = [tex]\frac{8a}{15}[/tex] ................. 5
Comparing the derived equations:
From equations 2 and 3,
a:c = [tex]\frac{15b}{8}[/tex]: [tex]\frac{5b}{2}[/tex] = 4:5
From equations 1 and 2,
b:c = [tex]\frac{2c}{5}[/tex] : [tex]\frac{5b}{2}[/tex] = 2:3
But a common value of b = 15, gives;
a : c = 12 : 15 and b : c = 10 : 15
Thus, a : b : c = 12 : 10 : 15
The ratio a:b:c in its simplest form is 15:8:20
Ratios and ProportionsGiven the following parameters
b = 2/5 c4a = 3ca = 3/4cTo get the ratio of a:b:c, we will substitute the value of a and b into the ratio to have:
a:b:c = 3/4c : 2/5c :c
Multiply through by 20 to have:
a:b:c = 3/4c * 20 : 2/5c * 20: 20c
a:b:c = 15c:8c:20c
a:b:c = 15:8:20
Hence the ratio a:b:c in its simplest form is 15:8:20
Learn more on ratio here: https://brainly.com/question/2914376
Find the distance between the pair of points given on the graph
The right answer is √74 units.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Which table represents a function that does not have a constant rate of
change?
O A.
A/WIN/Holx
y
16
23
30
37
44
O B.
Х
0
1
2
3
4
y
30
36
42
48
54
O c.
х
0
1
2
3
4
11
12
14
18
26
OD.
Х
0
1
2
3
4
y
10
18
26
34
42
Answer:
c.
Step-by-step explanation:
In table one , the rate of change is by adding 7 to each number
in table 2, the rate of change is by adding 6 to each number
in table 4, the rate of change is by adding 8 to each number
but in table 3, there is no precuse addition of numbers
Copy and complete each table.
HELP I CAN’T FIND THE EQUATION FOR N
I realized the output is -5 each, but what’s the equation ;-;;;l
Answer:
5th term of sequence = -18
nth term of the sequence = -5n + 7
Step-by-step explanation:
Difference between successive and previous term of the output,
[tex]T_{2}-T_{1}[/tex] = -3 - 2
= -5
Similarly, [tex]T_{3}-T_{2}=-8-(-3)[/tex]
= -5
There is a common difference 'd' = (-5)
Therefore, the sequence formed will be an arithmetic sequence.
First term of the sequence 'a' = 2
Explicit formula of an arithmetic sequence, [tex]T_{n}[/tex] = a + (n - 1)d [n = input value]
[tex]T_{n}[/tex] = 2 + (n - 1)(-5)
= 2 - 5n + 5
= -5n + 7
5th term of this sequence,
[tex]T_{5}=2+(5-1)(-5)[/tex]
= 2 - 20
= -18
Therefore, 5th term of sequence = -18
nth term of the sequence = -5n + 7
If X to the second power equals 30, what is the value of X?
Answer:
see below
Step-by-step explanation:
x² = 30
x = ±√30 (take the square root of both sides)
The value of X in the equation is:
√30 or 5.48
If X to the second power equals 30, what is the value of X?An algebraic equation is when two expressions are set equal to each other, and at least one variable is included.
If X to the second power equals 30 can be written as:
X² = 30
To find the value of X, take the square root of both sides of the equation. That is:
√X² = √30
X = √30
X = 5.48
Learn more about algebraic equation on:
brainly.com/question/4344214
#SPJ6
Convert the fraction
103
7497
to an equivalent percentage.
Report your answer accurate to one decimal place.
Answer:
1.4
Step-by-step explanation:
We need to convert 103/7497 into a percentage.
All we have to do is multiply the fraction by 100:
103/7497 * 100 = 1.37
To one decimal place, the equivalent fraction is 1.4
(3x+8) (4x+10) what is the length
which best decribes how to slove the equation below 26x=74
Using this figure A’ is the______Of A.
Answer:
Reflection
Step-by-step explanation:
Figure A' is the reflection of A as it is reflected from A'
