8(t + 2)—3(t—4)=6(t—7)+8
Answers
The solution to the given equation is t = 62.
We have,
Let's simplify the given equation step by step:
8(t + 2) - 3(t - 4) = 6(t - 7) + 8
Step 1: Apply the distributiveproperty by multiplying each term inside the parentheses by the coefficient outside the parentheses:
8t + 16 - 3t + 12 = 6t - 42 + 8
Simplifying the equation further:
8t - 3t + 16 + 12 = 6t - 42 + 8
Step 2: Combine liketerms on both sides of the equation:
(8t - 3t) + 28 = 6t - 34
Simplifying the equation further:
5t + 28 = 6t - 34
Step 3: To isolate the variable t, we will move all terms containing t to one side and the constants to the other side:
5t - 6t = -34 - 28
Simplifying the equation further:
-1t = -62
Step 4: Since -1t is equivalent to -t, we can rewrite the equation as:
-t = -62
Step 5: To solve for t, we need to multiply both sides of the equation by -1 to eliminate the negative sign:
(-1)(-t) = (-1)(-62)
Simplifying the equation further:
t = 62
Therefore,
The solution to the given equation is t = 62.
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5t +2 +12 = 6t - 34
5t +14 = 6t - 34
-14 = - 14
5t = 6t - 20
-6t = -6t
-t = -20
t = 20
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Answers
Answer:
the perimeter is 40 ft
Step-by-step explanation:
to find the perimeter you add up all the sides
Answers
Answer:
1. Simply the left hand side by first multiplying the -12 with the (1-x) to get -12+12x since negative×negative will give you positive. So after the simplification on the left hand side you will get the expression 10-12+12x. Which will give you -2+12x on the left hand side.
2. You do same on the right hand side of the expression 8(-12+6x) -14. So you multiply the 8 with the expression in the bracket ONLY (-12+6x) then afterwards,you add the -14 it to get -96+48x-14 =-110+48x .NOTE. ADDING TO NEGATIVE NUMBERS GIVES YOU A NEGATIVE ANSWER. so -96+(-14)=-110. So after simplification. You will also get the expression-110+48x on the right hand side .
3. Then combining the two sides of the equation, the whole expression becomes
-2+12x = -110+48x. Then you group like terms by sending all number attached with a variable to the right hand side and non attached variable numbers to the left , given you
-2+110 = 48x-12x . NB .WHEN A POSITIVE NUMBER CROSSES THE EQUAL SIGN IT CHANGES TO NEGATIVE AND VICE VERSA.
4. -2+110 = 108 and 48x -12x =36x
So the final expression becomes 108= 36x
Then you divide both side by 36 ,thus 108÷36=36x÷36
Given you x= 3 as your final answer of the expression, since 108÷ 36= 3. And 36x÷36= x
Answers
Answer:
5 ft
Step-by-step explanation:
The previous jumper jumped p
The new jumper jumped p*1.1 and that was 5.5 ft
1.1p = 5
Divide each side by 1.1
1.1p/1.1 = 5.5/1.1
p = 5
The previous jumper jumped 5 ft
Answer:
5 ft
Step-by-step explanation:
Let the height of the previous jump be represented by j. Then 1.1j = 5.5 ft.
Dividing both sides by 1.1, we get j = 5 ft. This was the height of the previous jump.
Answers
penguins = 8
whales = 4
8:4 , now simplify
8/4 = 2
4/4 = 1
2:1 is the ratio.
Final answer: 2:1
a to b
a:b
Now lets look at the information we have:-
10 - dolphins
8 - penguins
4 - whales
Now we need to find the ratio of penguins to whales. So it would look like this:-
penguins: whales
penguins to whales
Penguins:- 8
Whales:- 4
So, the ratio of penguins to whales would look like:-
8 to 4
8:4
Now we will simply
8 ÷ 4 = 2
4 ÷ 4 = 1
So, our new simplified ratio would be:- 2 to 1. 2:1.
Hope I helped ya!!
Answers
Answers
It would take Rene 1 1/2 hours to get to the lake.
We know that the lake is 60 miles away and divide it by her mph (40) and get 1.5 hours. If we did this as a fraction, it would be 60/40=1 20/40 or 1 1/2
Time = Distance/ speed
Time = 60/40
time = 6/4
=3/2
1 hour 30 m