Fred earned $22.50 in nine hours. how much did he earn after 4 hours? please show all your work
2 answers:
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Answer:
Step-by-step explanation:
Put the values of x to the equation y = 2x + 2 and calculate the value of y:
x = 2
y = 2 · 2 + 2 = 4 + 2 = 6
x = 5
y = 2 · 5 + 2 = 10 + 2 = 12
x = 6
y = 2 · 6 + 2 = 12 + 2 = 14
x = 8
y = 2 · 8 + 2 = 16 + 2 = 18
Answer:
Step-by-step explanation:
as given j=h and k=m then which expression for g is
as from attached image , we can see that its look like two right angle triangle
so from lower triangle we apply the pythagorean theorem .
which state that sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
so small triangle ΔEBD
h² +k²= g² ---------------(1)
now from big triangle ΔABC
(j + h)² +(m + h)² =f²---------(2)
given j=h and k=m so from equation-2 we can find ,
(h + h)² +(k+ k)² =f²
(2h)² +(2k)²=f²
4h²+ 4k²= f²
4(h²+k²)= f² ----------(3)
now from equation 1 and 3 we can obtained .
4×g² =f²
take square root both side we get,
2×g=f
so g=f/2----- Answer
Answer:
1. a. b = - 8
b. x = 8
c. x = 11
d. x = 5
2. 12 soccer balls and 8 basketballs can be purchased.
Step by step explanation
a.
Calculate the sum
Collect like terms
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S and change its sign
Collect like terms
Change the signs on both sides of the equation
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b.
Apply cross product property
Multiply the numbers
Move constant to R.H.S and change its sign
Calculate the difference
Divide both sides of the equation by 5
Calculate
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c.
Apply cross product property
Multiply the numbers
Swap the sides of the equation
Move constant to R.H.S and change its sign
Calculate
Change the signs on both sides of the equation
Divide both sides of the equation by 8
Calculate
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D.
Distribute 5 through the parentheses
Collect like terms
Swap both sides of the equation
Move constant to R.H.S and change its sign
Calculate the sum
Divide both sides of the equation by 11
Calculate
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2.
Solution,
No.of students in soccer = x
No.of students in basketball = y
Total no.of students = 20
i.e x + y = 20 → equation ( i )
Cost of soccer ball = $ 7
Cost of basketball = $ 10
Total budget = $ 164
i.e 7x + 10 y = 165 → equation ( ii )
In equation ( i ),
x + y = 20
Move 'y' to R.H.S and change its sign
x = 20 - y
Put the value of x in equation ( i )
Now, put the value of y in equation ( i ) ,
x + y = 20
Hence, 12 soccer balls and 8 basketballs can be purchased.
Hope this helps...
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