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2 years ago

Simplify the following equation. (6x+4)+(5-2x)

Mathematics

1 answer:

xxTIMURxx [149]2 years ago

8 0

Answer:

x= -9/4=-2.25

Step-by-step explanation:

plz rate and thank me if it is correct again i am a begginer!!! thank you:)

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The graph of 15x + 7y = 15 is shown on the grid. Which ordered pair is in the solution set of 15x + 7y ≥ 15?

elena55 [62]

Answer:

The correct option is c.

Step-by-step explanation:

The given equation is

$15x+7y=15$

The given inequality is

$15x+7y\geq 15$

A point will contained in solution set if the above inequality satisfied by that point.

Check the point (0,-3),

$15(0)+7(-3)\geq 15$

$-21\geq 15$

This statement is false, therefore option a is incorrect.

Check the point (-3,0),

$15(-3)+7(0)\geq 15$

$-45\geq 15$

This statement is false, therefore option b is incorrect.

Check the point (3,3),

$15(3)+7(3)\geq 15$

$66\geq 15$

This statement is true, therefore option c is correct.

Check the point (-3,-3),

$15(-3)+7(-3)\geq 15$

$-66\geq 15$

This statement is false, therefore option d is incorrect.

7 0

2 years ago

Which of the following is a solution of y - x < -3?

azamat

Answer:

Step-by-step explanation:

$Subtract- y- from- both -sides.\\-x (less than)-3-y\\2 Multiply both sides by -1.\\x (greater than ) 3+y$

5 0

3 years ago

Read 2 more answers

7. A person has $10,100 to invest in two different stock. Stock ABC costs $32 per share and pays dividends of $1.20 per share. S

Vesna [10]

Answer:

invested in ABC = $3200

Step-by-step explanation:

given data

total invest = $10,100

Stock ABC costs = $32 per share

dividends = $1.20 per share

Stock XYZ costs = $23 per share

dividends = $1.40 per share

earn a total dividends = $540

solution

we can say total money invest express as

total money invested = 32 × P + 23 × Q

here person buys stocks of ABC is P and buys stocks of stocks of XYZ is Q

$10,100 = 32 × P + 23 × Q

we can also write this as by multiply 3 both side

$30,300 = 96 × P + 69 × Q ......................1

and total dividends will be

total dividends = 1.2 × P +1.4 × Q

$540 = 1.2 × P +1.4 × Q

we can also write this as by multiply 80 both side

$43200 = 96 × P + 112 × Q ....................2

so from equation 1 and 2 , subtracting 1 from 2

we get

Q = 300

and P = 100

so that we invest 100 × 32

invested in ABC = $3200

6 0

3 years ago

Of the computer games Lynne owns, 5-12 are sport games and 3-12 are educational. What fraction of the games are either sport gam

Serhud [2]

Of 5 out of 12 (5/12) are sports games and 3 out of 12 (3/12) are educational, then you would add these together because you need a total for both because it would include one or the other, so both.

5/12 + 3/12= 8/12 or 2/3 are one or the other.

8 0

3 years ago

Read 2 more answers

119. Beatrice decides to deposit $100 per month at the end of every month in a bank with an annual interest rate of 5.5% compoun

sveta [45]

Answer:

Beatrice will accumulate $1230.72 at the end of the year.

Step-by-step explanation:

We can write:

$(1+\frac{0.055}{12})=z$

$100=C$ for deposits

The first month would have only the deposit reflected in her balance, then, expanding some steps of the calculation would yield:

$S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C$

A geometric series is given by:

$1+x+...+x^{m}=\frac{x^{m+1}-1}{x-1}$

Translating our series to the short form:

$S_{n}=C(\frac{z^{n}-1}{z-1} )$

plugin in the values for the 12 month gives:

$S_{12}=100(\frac{(1+\frac{0.055}{12})^{12} -1}{\frac{0.055}{12}})=1230.7169$

3 0

3 years ago