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Rufina
12 days ago
14

Consider the equations shown: ax + by = ab & 2ax + 3by = 3b

Mathematics
1 answer:
AnnZ [3.9K]12 days ago
6 0

Respuesta: y=3-2a, Opción 4

Explicación paso a paso:

\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.

multiplica 2 en ax+by=ab

2ax+2by=2ab

resta 2ax + 3by = 3b y 2ax+2by=2ab

by=3b-2ab

y=3-2a

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On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any
zzz [4035]
According to the rule of 72,
72/rate=time
72÷9.6=7.5 years

An alternative method for resolution using the main formula
2300=1150(1+0.096/4)^4t
Isolate t
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I hope this is helpful:-)
7 0
4 days ago
Read 2 more answers
A battery has enough energy to operate eight toy bears for 21 hours. For how long could the battery operate 15 toy bears?
PIT_PIT [3949]

Answer:

28 hours required for 15 toy bears

Step-by-step explanation:

hope this assists

8 0
10 days ago
If mJI = (3x+2)°, mHLK = (15x-36)°, and m∠HML = (8x-1)°, find mHLK
lawyer [4039]

Response:

The measure of mHLK is "(204)°".

Step-by-step breakdown:

Given values include:

mJI = (3x+2)°

mHLK = (15x-36)°

and,

m∠HML = (8x-1)°

then,

What is mHLK?

Now,

Utilizing the chord-chord angle formula, we find

mHMK=\frac{1}{2}(mJL+mHLK)

Inserting the known values into the equation gives us

⇒  (8x-1)=\frac{1}{2}(15x-36+3x+2)

By carrying out cross-multiplication, we arrive at

⇒  2(8x-1)=18x-34

⇒  16x-2=18x-34

By subtracting "18x" from both sides, we obtain

⇒  16x-2-18x=18x-34-18x

⇒  -2x-2=-34

Upon adding "2" to both sides, we end up with

⇒  -2x=-34+2

⇒  -2x=-32

⇒  x=\frac{32}{2}

⇒  x=16

By substituting the value of "x" into mHLK = (15x-36)°, we calculate

⇒ (15x-36)° = (15×16-36)°

⇒                = (240-36)°

⇒                = (204)°

Thus, mHLK = (204)°

4 0
1 day ago
Len made 1 1/3 liters of punch. He added 2/5 liters of water to make the punch. How much water was used for each liter of punch?
babunello [3666]

Answer:

3/10 liter

Step-by-step explanation:

Assuming your statement indicates that in 4/3 liters of punch, there is 2/5 liters of water, then the proportion of water in the punch is calculated as:

(2/5)/(4/3) = (2/5)(3/4) = 3/10

So, 3/10 of a liter of water is included in each liter of punch.

5 0
10 days ago
Ann is grouping 38 rocks. She can put them into groups of 10 rocks or as single rocks. What are the different ways Ann can group
Svet_ta [4341]

Answer: There are two distinct methods to achieve this.

Step-by-step explanation:

We know that we have

A total of rocks = 38

If we want to create groups of 10 or count them individually, there are two methods;

Case I:

When grouped into sets of 10

There will be four sets; the first set has 10 rocks,

The second set contains 10 rocks,

The third set also has 10 rocks,

And the fourth set will only have 8 rocks.

Case II:

If we group them individually,

There will be 38 separate sets.



7 0
9 days ago
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