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alexgriva [62]
3 years ago
14

7/2X – 19 = -13 + 2xwhat is the solution equation?​

Mathematics
1 answer:
Brut [27]3 years ago
7 0
Answer:
x=4

Explanation:
7/2x-19=-13+2x
Add 19 to both sides
7/2x-19+19=-13+2x+19
7/2x=6+2x
Subtract both sides by 2x
7/2x-2x=6+2x-2x
7/2x-2x=6
Change 2x into a fraction
7/2x-4/2x=6
3/2x=6
Divide both sides by 3/2
(3/2x)/(3/2)=6/(3/2)
x=6/(3/2)
Dividing my a fraction is the same as multiplying its reciprocal
x=6*2/3
x=12/3
x=4

I hope this helps!
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Simplify the expression.<br> -2.7f + 0.8f - 16 - 4
Mazyrski [523]

Answer:

-1.9f-20

Step-by-step explanation:

-2.7f+0.8f-16-4

<em>Collect similar items</em>

-2.7f+0.8f=-1.9f

=-1.9f-16-4

<em>Subtract the numbers</em>

-16-4=-20

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4 0
2 years ago
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How to answer this? A farmer had 455 ducks and chickens. He sold 2/5 of the ducks and bought another 104 chickens. As a result,
julia-pushkina [17]

Answer:

(a) 25

(b) $4816

Step-by-step explanation:

Let's say the starting amount of ducks is d, and the starting amount of chickens is c. Since there are only ducks and chickens, we can say that d + c= 455.

Next, the farmer sells 2/5 of the ducks, so we subtract 2/5 of the ducks so that the ending duck amount is d - (2/5)d = (3/5) d

After that, the farmer buys another 104 chickens, so we add 104 chickens to the current amount of chickens to get the ending chicken number as 104+c

Given the ending duck and chicken count, we can say that the ending farm animal count (we can represent this as a) is (3/5)d + 104 + c = a

The number of ducks is 2/3 the total number of animals at the end, so (3/5)d = (2/3)a

Let's list our equations out so it is easier to solve:

d+c = 455

(3/5)d + 104 + c = a

(3/5)d = (2/3)a

We have three equations and need to solve for three variables. One common variable in all three equations is d, so it might help if we put everything in terms of d.

Starting with d+c=455, if we subtract d from both sides, we get c=455-d. We can substitute this in the second equation to get

(3/5)d + 104 + 455 - d = a

-(2/5)d + 559 = a

(3/5)d = (2/3)a

Next, we can substitute for a. If we multiply both sides by 3 and then divide by 2 in (3/5)d = (2/3)a , we get

(9/10)d = a

Substitute that in to the second equation to get

-(2/5)d + 559 = (9/10) d

-(4/10)d + 559 = (9/10) d

add (4/10)d to both sides to isolate the variable and its coefficient

(13/10)d = 559

multiply both sides by (10/13) to isolate the coefficient

d = 430

Therefore, the starting number of ducks is 430 and the starting amount of chickens is 455-430 = 25

For (b), 2/5ths of the ducks are sold, so this is (430) * (2/5) = 172. Each duck is sold for 28 dollars, so this is 172*28=$4816 as the total price

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PLEASE HURRY WILL GIVE BRAINLIEST A truck can be rented from Company A for $90 a day plus $0.30 per mile. Company B charges $70
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Answer:

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Step-by-step explanation:

The difference in fixed charge is $20; the difference in mileage charge is $0.50 per mile. So it will take $20/$0.50 = 40 miles for the extra mileage cost to eat up the savings in fixed cost. At that mileage, both companies will charge the same amount:

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Help with 19??????????
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If the numbers that you are adding have the same sign, then add the numbers and keep the sign.

Example:

-5 + (-6) = -11

Adding Numbers with Different Signs

If the numbers that you are adding have different (opposite) signs, then SUBTRACT the numbers and take the sign of the number with the largest absolute value.

Examples:

-6 + 5= -1

12 + (-4) = 8

Subtracting Integers

When subtracting integers, I use one main rule and that is to rewrite the subtracting problem as an addition problem. Then use the addition rules.

When you subtract, you are really adding the opposite, so I use theKeep-Change-Change rule.

The Keep-Change-Change rule means:

Keep the first number the same.

Change the minus sign to a plus sign.

Change the sign of the second number to its opposite.

Example:

12 - (-5) =

12 + 5 = 17

Multiplying and Dividing Integers

The great thing about multiplying and dividing integers is that there is two rules and they apply to both multiplication and division!

Again, you must analyze the signs of the numbers that you are multiplying or dividing.

The rules are:

If the signs are the same, then the answer is positive.

If the signs are different, then then answer is negative.

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Answer:

8.6

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