Answer:
17.4
Step-by-step explanation:
Given the question :
an integer is 10 times the difference of a rational number and 5. If the value of the integer is 124, what is the value of the rational number?
An integer = 124 is 10 times the difference of a rational number and 5
Let the rational number be r
Hence,
124 = 10 × (r - 5)
124 = 10r - 50
124 + 50 = 10r
174 = 10r
Divide both sides by 10
174 / 10 =. 10r / 10
17.4 = r
r = 174 / 10 or 17.4
Answer:
Step-by-step explanation:
x + y = 25 ...........................(1)
{4x + 2y =64} / 2 divide the equation by 2
2x + y = 32 ........................(3)
Step Two
subtract (1) from (3)
2x + y = 32
x + y = 25
x = 7
Therefore from equation 1 we get x + y = 25
but x = 7
7 + y = 25 Subtract 7 from both sides.
y = 25 - 7
y = 18
Check
4*x + 2*y = 64
4*7 + 2*18 =? 64
28 + 36 = ? 64
64 = 64
The checks out to be the right answer.
Answer:
q = 80 degrees
r = 70 degrees
s = 10 degrees
t = 70 degrees
u = 40 degrees
v = 60 degrees
Step-by-step explanation:
starting with the fact that all angles in any triangle always sum up to 180 degrees :
q = 180 - 60 - 40 = 80 degrees
r = 180 - (60+10) - 40 = 180 - 70 - 40 = 70 degrees
the triangle 40-60-q and v-u-blank are similar triangles. your can say the smaller triangle is just a projection of the large triangle through the focal point at angle q.
that means the angles must be equal.
v = 60 degrees
u = 40 degrees
similar for 10-r-blank and t-s-blank.
s = 10 degrees
t = 70 degrees
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here you go mate
Use PEMDAS
Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction
Step 1
3(x-4)=12 Equation/Question
Step 2
3(x-4)=12 Remove parenthesis
3x-12=12
Step 3
3x-12=12 Add 12 to sides
3x=24
Step 4
3x=24 Divide sides by 3
answer
x=8
Hope this helps