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3 years ago

Solve for Y y - b = m(x -a)

Mathematics

1 answer:

eduard3 years ago

4 0

Answer:

HHH

Step-by-step explanation:

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3. Mrs.Galicia bought 3 tacos and 2 sodas and paid $9.75. The next day she went back and bought 5 tacos and 1 soda and paid $12.

andrey2020 [161]

Answer:

a) 3x + 2y = 9.75, 5x + y = 12.75 is the required system of equations.

b) The cost of 1 soda = $1. 5

c) The cost of 1 taco = $2.25

Step-by-step explanation:

Let the cost of each taco = $x

Let the cost of each soda = $y

Now, according to the question:

3x + 2y = $9.75

5x + y = $12.75 are the required system of equations.

Now, substituting the value of y = 12.75 - 5x in (1).

⇒The equation 3x + 2y = 9.75 becomes 3x + 2(12.75 -5x) = 9.75

or, 3x - 10x + 25.5 = 9.75

or, -7x = -15.75

⇒ x = 15.75/7 = 2.25

Hence, the cost of 1 taco = $x = $2.25

Now, y = 12.75 - 5x

= 12.75 - 5(2.25) = 12.75 - 11.25 = = 1.5

or, y = $1.5.

Hence, the cost of 1 soda = $y = $1.5

3 0

3 years ago

Solving a pios A car travels 323 miles in 4 hours and 45 minutes. How many miles does it travel per hour?

den301095 [7]

Look at the picture please.

If you don’t understand my hand writing please comment.

5 0

2 years ago

What is the answer to this

dimaraw [331]

Answer:

No each price is different

Step-by-step explanation:

4/20 gives you $5 a piece

6/37.50 gives you $6.25 per wand

10/65 gives you 6.50 per wand

5 0

3 years ago

You want to have $15,000 in 11 years. You will invest how much into an account that has an annual rate of 4.4% compounded daily?

igor_vitrenko [27]

Given:

Future Value = $15,000

time (t) = 11 years

rate (r) = 4.4% or 0.044

number of conversions per year (m) = 365

Find: Initial amount or the Principal

Solution:

Formula for Compound Interest is:

$F=P(1+\frac{r}{m})^{mt}$

From that, we can derive the formula for the Principal or the initial amount.

$P=\frac{F}{(1+\frac{r}{m})^{mt}}$

Let's plug in the given data above to the formula of the principal value.

$P=\frac{15,000}{(1+\frac{0.044}{365})^{365\times11}}$

Then, solve for P.

$P=\frac{15,000}{(1.000120548)^{4015}}=\frac{15,000}{1.622504316}\approx9,244.97$

Answer: You must invest $9, 244.97 to the account in order to get $15,000 after 11 years.

7 0

1 year ago

If a+b+c=8 and x+y=7 what is -8y-2c-2b-8x-2a

sergey [27]

Answer:

-40

Step-by-step explanation:

Try rearranging and factoring -8y-2c-2b-8x-2a:

This is equal to -8(x + y) -2(a + b + c).

Since x + y = 7, we have:

-8(7) -2(a + b + c)

and since a + b + c = 8, we end up with:

-56 - 2(8), or

-56 - 16 = -40

6 0

3 years ago