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Veronika [31]
3 years ago
15

Please solve these with the full explained answer

Mathematics
2 answers:
faltersainse [42]3 years ago
4 0

Answer:

The given equation is

4x+10=-26

We add the additive inverse of 10 which is -10 to both sides of the equation to obtain,

4x+10+-10=-26+-10

This gives us,

4x+10-10=-26-10

4x+0=-36

statuscvo [17]3 years ago
3 0

ANSWER TO QUESTION 1


The given equation is

4x+10=-26


We add the additive inverse of 10 which is -10 to both sides of the equation to obtain,

4x+10+-10=-26+-10


This gives us,

4x+10-10=-26-10


4x+0=-36


This further simplifies to  


4x=-36


We divide both sides 4 to obtain,

x=-4


ANSWER TO QUESTION 2


Since we got -4 as answer to question one, the next question to answer is

\frac{x}{3}+10=15


We add the additive inverse of 10 which is -10 to both sides to obtain,


\frac{x}{3}+10+-10=15+-10


This gives us,

\frac{x}{3}+10-10=15-10


This simplifies to


\frac{x}{3}+0=5


\frac{x}{3}=5


We now multiply both sides of the equation by 3 to obtain,


3\times \frac{x}{3}=5\times3

This implies that,

x=15


ANSWER TO QUESTION 3


The next equation is 9-2x=35


We add the additive inverse of 9 which is -9 to both sides of the equation to obtain,

9+-9-2x=35+-9

This gives us,

9-9-2x=35-9


This simplifies to,


-2x=26


We multiply both sides by the reciprocal or the multiplicative inverse of -2 to obtain,

-2x\times (-\frac{1}{2})=26\times(-\frac{1}{2})


This gives us,

x=-13


ANSWER TO QUESTION 4.


The next question is \frac{2}{3}x+15=17


We add the additive inverse of 15 to both sides of the equation to obtain,


\frac{2}{3}x+15+-15=17+-15


This evaluates to


\frac{2}{3}x+0=17-15


This implies that,

\frac{2}{3}x=2


We multiply both sides by the multiplicative inverse or the reciprocal of \frac{2}{3}


This implies that,


x=2\times\frac{3}{2}


x=3


ANSWER TO QUESTION 5

The next question to answer is -5x-10=10.


We add the additive inverse of -10 which is 10 to both sides of the equation to obtain,


-5x-10+10=10+10


This gives us,

-5x=20


We through by -10 to obtain,

x=-4


ANSWER TO QUESTION 6

\frac{3}{4}x-9=27


We add the additive inverse of -9 which is 9 to both sides of the equation to obtain,

\frac{3}{4}x-9+9=27+9


This simplifies to;

\frac{3}{4}x=36


We multiply both sides of the equation by the reciprocal of \frac{3}{4} to obtain,

\frac{3}{4}x \times \frac{4}{3}=36\times \frac{4}{3}


x=36\times \frac{4}{3}


x=12\times 4


x=48


ANSWER TO QUESTION 7


The next question to answer is \frac{1}{2}x+13=9.


We add the additive inverse of 13 which is -13 to both sides of the equation to obtain,


\frac{1}{2}x+13+-13=9+-13


This will evaluate to,


\frac{1}{2}x=-4


We now multiply both sides of the equation by 2 to obtain,

x=-4\times 2

x=-8


ANSWER TO QUESTION 8


The last question to solve now is \frac{x-7}{4}=-2


We first of all multiply both sides of the equation by 4 to obtain,


\frac{x-7}{4} \times 4=-2\times 4


This implies that,


x-7=-8


We now add the additive inverse of -7 which is 7 to both sides of the equation to obtain,

x-7+7=-8+7


This implies that

x=-1































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3−2=10<br><br><br> 1.k=4<br><br> 2.k=-4<br><br> 3.k=36<br><br> 4.k=-36
asambeis [7]
The answer is number 2, b!
6 0
3 years ago
Ellie, the elephant, eats 4 times as much as Popcorn, the pony. Zac, the zebra, eats twice as much as Popcorn. Altogether, they
Ierofanga [76]

Ellie requires 280 kg, Popcorn requires 70 kg and Zac requires 140 kg each week

Step-by-step explanation:

The given is:

  • Ellie, the elephant, eats 4 times as much as Popcorn, the pony
  • Zac, the zebra, eats twice as much as Popcorn
  • Altogether, they eat 490 kilograms of feed per week

We need to find how much feed each of them requires each week

Assume that Popcorn eats x kg each week

∵ Popcorn eats x kg each week

∵ Ellie eats 4 times as much as Popcorn

- Multiply x by 4 to find how much Ellie eats

∴ Ellie eats = 4 × x = 4 x kg

∵ Zac eats twice as much as Popcorn

- Multiply x by 2 o find how much Zac eats

∴ Zac eats = x × 2 = 2 x kg

- Add all of them to find how much they eat altogether

∴ Altogether eats = x + 4 x + 2 x = 7 x kg

∵ Altogether, they eat 490 kilograms of feed

- Equate the sum of their eat by 490

∴ 7 x = 490

- Divide both sides by 7

∴ x = 70

∵ Ellie eats 4 x

∴ Ellie eats = 4(70) = 280 kg

∵ Popcorn eats x

∴ Popcorn eats = 70 kg

∵ Zac eats 2 x

∴ Zac eats = 2(70) = 140 kg

Ellie requires 280 kg, Popcorn requires 70 kg and Zac requires 140 kg each week

Learn more:

You can learn more about the the word problems in brainly.com/question/3950386

#LearnwithBrainly

8 0
3 years ago
Please answer quickly!!!
Mademuasel [1]

Answer:

1. 64cm² , 2. 240yd² , 3.≈220.5cm² , 4.≈193.4m² , 5. 38.6ft² , 6. ≈78.1yd² , 7. ≈120.7

Step-by-step explanation:

1. A=12x4.5+2x5 , 2. A=24x8+0.5x12x8 3. A=0.5x16x15+0.5x8²π ,4. A=7x15+0.5(15/2)² 12 ,5. A=3.6(16/2)+0.5x7x2.8 ,6. A=8(16/2)+0.5x9π ,7. A=(8/4)x5²xcot(180/8)

4 0
3 years ago
one light flashes every 2 minutes and another flashes every 7 minutes. If both lights flash together at 1pm, what is the first t
vovangra [49]
Light A flashes every 2 minutes while light B flashes every 7. The goal is to figure out when both lights flash at the same time and then figure out the other part later. You have to find the common multiples of 7 and 2. Meaning that you have to find out which number can they both be multiplied into. In this case, it is 14 because 7 can be multiplied by 2 to get 14 and 2 can be multiplied by 7. So if every 14 minutes they flash together at the same time, now you need to find out what time AFTER 3 will they both flash. You know that they both flashed at 1:00 so they will flash again at 1:14 and 1:28 and so on, but you need to find out when is the soonest they will flash after 3. 2 hours after the 1:00 flash will be 3:00 so that is 120 minutes. 120 minutes divided by 14 minutes comes to 8.5 but you dont need the decimal. Just simply multiply 14 by 8 and that comes to 112 minutes and if you add that to 1:00 you get 2:52. so they flashed at 2:52 so the next time they flash will be 14 minutes after 2:52. Sorry for the super long answer
6 0
3 years ago
PLEASE HELP!!!<br> Due in 10 minutes!
erastovalidia [21]

Answer:

41ft²

Step-by-step explanation :

8ft - 2ft = 6ft

6ft - 2ft = 4ft

4ft - 1ft = 3ft

3ft * (8ft + 2ft) / 2 = 15ft²

1ft * (8ft + 2ft) = 10ft²

8ft * 2ft = 16ft²

Total : 16 + 15 + 10 = 41ft²

3 0
2 years ago
Read 2 more answers
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