All categories

3 years ago

61/28 + a = 19/4a - 11/7

Mathematics

2 answers:

kondaur [170]3 years ago

8 0

the answer for a = 1

m_a_m_a [10]3 years ago

8 0

Simplify 19/4a to 19a/4

61/28 + a = 19a/4 - 11/7

Multiply both sides by 4

61/7 + 4a = 19a - 44/7

Subtract 4a from both sides

61/7 = 19a - 44/7 - 4a

Simplify 19a - 44/7 - 4a to 15a - 44/7

61/7 = 15a - 44/7

Add 44/7 to both sides

61/7 + 44/7 = 15a

Simplify 61/7 + 44/7 to 15

15 = 15a

Divide both sides by 15

1 = a

Switch sides

a = 1

You might be interested in

In △ABC, G is the centroid. If CG=12 find CD.

VladimirAG [237]

Answer:

CD = 24

Step-by-step explanation:

If G is the centroid, then CG = GD. (12 = 12)

Since CD is CG and GD combined, we would just add these two numbers to find the total length of CD.

CG + GD = CD

12 + 12 = 24

5 0

2 years ago

Please help me why - 9/5-1=-14/5

Jobisdone [24]

Answer:

Step-by-step explanation:

Because you have to take the L.C.M ,

-9/5 - 1

=( -9-5)/5

= -14/5

please

Brain-list it or support me at my U-Tube channel " ZK SOFT&GAMING " I will be thankful

6 0

3 years ago

Read 2 more answers

The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the fir

xxMikexx [17]

Answer:

common difference is 0.5

first term is 5

Step-by-step explanation:

use the formula for the nth term of an ap Tn=a+(n-1)d

T12=10.5

T18=13.5

therefore come up with two equations

T12=a+(12-1)d

10.5=a+11d(1st equation)

T18=a+(18-1)d

13.5=a+17d(2nd equation)

then solve both as a simultaneous equation

a+11d=10.5

a+17d=13.5

-6d/-6=-3/-6

d=0.5

use one of the equations to find the first term

a+11(0.5)=10.5

a+5.5=10.5

a=10.5-5.5

a=5

I hope this helps

please mark as brainliest

7 0

3 years ago

patrick drank 3/4 liters of water on wednesday before going jogging and 4/5 liter of water after his jog . how much water did pa

Alona [7]

To find the total of 3/4 and 4/5 is to add them together. However, in order to add them together you need to find the least common denominator (LCD). And the LCD of both denominators would be 20, because that is the smallest number both 4 and 5 can divide into. And here is the tricky part, now you have to change the numerators. So since 3/4th's now has a denominator of 20 you have to make the 3 match the 20. So 4 times what it 20? It is 5. So now multiply 5 by three and that will give you 15/20, which can reduce to 3/4 which means that you did this correctly! Now repeat the same steps with 4/5:

4/5=4/20
20÷5=4
4•4=16
16/20 (16/20 can reduce to 4/5 which means you did this correctly.

Now to add them keep the denominators the same and only add the numerators:

15/20 + 16/20 = 31/20

Now this as a mixed number would be 1 11/20. I hope this was helpful!

4 0

2 years ago

Read 2 more answers

Simplify -4(3-1)+2

nikdorinn [45]

To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

First we have parentheses.

-4(3 - 1) + 2

3 - 1 = 2

-4(2) + 2

We have no exponents so go on to multiplication

-4(2) + 2

-4 * 2 = -8

-8 + 2

No division so go to addition

-8 + 2

When adding a positive number with a negative number you will act as if you are subtracting the two numbers, then take the sign of the largest number (disregarding the signs). In this case the largest number is 8 and its sign is negative. Your answer will have a negative sign.

-6

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0

3 years ago