All categories

3 years ago

Solve the system of equations and choose the correct ordered pair.

2 answers:

8 0

4x + 3y = 16
7x + 6y = 31

Note what happens if we mult. the first eqn. by -2:

-8x - 6y = -32

Combining this with the 2nd equation eliminates the variable y:

-8x - 6y = -32
7x + 6y = 31
--------------------
-x = -1, or x = 1. Sub 1 for x in either of the 2 given eqns to find y:

For example: 4(1) + 3y = 16, so 36 = 12, and y = 3. Sol'n is (1,3).

MrRa [10]3 years ago

5 0

Answer:

1,4

Step-by-step explanation:

The correct answer is (1,4)

You might be interested in

Which is equivalent to 4 (9) 1/2 ^x O 9^2x O 9 1/8 ^x O (9)^x O 6(9) ^x

fgiga [73]

Answer:

36/2^x

Step-by-step explanation:

= 4 X 9 x 1/2^x

= 36/2^x

8 0

3 years ago

Is it possible to have more than one (x,y)(x,y) pair that is a solution to both equations? Explain or show your reasoning

lesya692 [45]

Answer with step-by-step explanation:

Yes, it is possible to have more that one (x,y) pair because of the distributive property.

6x + 4y = 34. If this is the case, we have to find 2 numbers that sum up to 34.

x = 3

y = 4

5x - 27 = 15. If we are going to calculate this equation, you need to reverse the equation. 15 + 27 = 42 = 5x. If 42 = 5x, we have to divide 42 by 5, which is 8.4

Hope this helped! (brainliest please)

5 0

4 years ago

Add 7 x 10−6 and 2.1 x 10−5. 9.1 x 10−6 2.8 x 10−6 9.1 x 10−5 2.8 x 10−5

valkas [14]

The answer is 2.8 x 10-5

3 0

2 years ago

Camilla and Anne work as interior decorators in the city. Camilla can decorate a home in 5 days while Anne can

love history [14]

Answer:

It will take them 4.44 days to decorate 2 homes.

Step-by-step explanation:

Given that:

Camilla can decorate a home in 5 days

Anne can complete a home in 4 days

Let,

x be the time taken by Camilla and Anne to decorate 1 home.

$\frac{1}{Camilla's time}+\frac{1}{Anne's\ time} = \frac{1}{total\ time}\\$

$\frac{1}{5}+\frac{1}{4}=\frac{1}{x}$

Taking LCM;

$\frac{4+5}{20}=\frac{1}{x}\\\\\frac{9}{20}=\frac{1}{x}\\x=\frac{20}{9}$

Time taken by Camilla and Anne to decorate 2 homes = $\frac{20}{9}*2=\frac{40}{9}$

Time taken to decorate Camilla and Anne 2 homes = 4.44 days

Hence,

It will take them 4.44 days to decorate 2 homes.

4 0

3 years ago

A landscaper charges customers a one time fee and an hourly rate of $25. For 3 hours of work, it charges $95

kolbaska11 [484]

Answer:

C = 20 + 25h ..... Required identity

(C - 20) = 25(h - 0) ..... Point-slope form

C = 25h + 20 ..... Slope-intercept form.

25h - C = - 20 .... Standard form.

Step-by-step explanation:

A landscaper charges customers a one time fee and an hourly rate of $25.

If for 3 hours of work, it charges $95.

Then, C = C' + 25h ......... (1)

Where C is the total charge, C' is the fixed charge and h is the number of hours he works.

Therefore, putting C = $95 and h = 3, we get from equation (1),

95 = C' + 75

⇒ C' = 20

Therefore, the equation (1) becomes C = 20 + 25h

Hence, this is the identity in the scenario. (Answer)

Now, the point-slope form of the equation is (C - 20) = 25(h - 0)

where slope is 25 and the point is (0,20).

Now, C = 25h + 20

is the slope-intercept form having slope 25 and y-intercept 20.

Now, the standard form of the equation is 25h - C = - 20 (Answer)

8 0

3 years ago