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3 years ago

Seven times a number plus three times another number equals -1 the sum of two numbers is -3 what are the numbers?

Mathematics

1 answer:

Virty [35]3 years ago

4 0

Answer:

7x + 3y = - 1

x + y = - 3

Find what y (Or x, but make sure you find the same variable for both equations) is:

3y = - 7x - 1

y = - 7/3x - 1/3

y = - x - 3

Substitute:

- 7/3x - 1/3 = - x - 3

Solve for x (Or y, depending on which one you used):

4/3x = 2 2/3

x = 2

Plug x (Or y) into one of the equations:

2 + y = - 3

y = - 5

Answer: x = 2, y = -5

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One month Miguel rented 12 movies and 2 video games for a total of $41. The next month he rented 3 movies and 5 video games for

inn [45]

Step-by-step explanation:

U should use the system of 2 equations.

Let x be the rental cost of a movie and let y be that of video games.

{12x + 2y= 41} eq1

{3x + 5y= 35}eq2 note: eq means equation

The answer is

X=2.5 Y=5.5

So, the rental cost for each movie is 2.5$

and for each video game is 5.5$

5 0

3 years ago

Determine whether each expression is equivalent to 49^2t – 0.5.

vampirchik [111]

Answer:

None of the expression are equivalent to $49^{(2t - 0.5)}$

Step-by-step explanation:

Given

$49^{(2t - 0.5)}$

Required

Find its equivalents

We start by expanding the given expression

$49^{(2t - 0.5)}$

Expand 49

$(7^2)^{(2t - 0.5)}$

$7^2^{(2t - 0.5)}$

Using laws of indices: $(a^m)^n = a^{mn}$

$7^{(2*2t - 2*0.5)}$

$7^{(4t - 1)}$

This implies that; each of the following options A,B and C must be equivalent to $49^{(2t - 0.5)}$ or alternatively, $7^{(4t - 1)}$

A. $\frac{7^{2t}}{49^{0.5}}$

Using law of indices which states;

$a^{mn} = (a^m)^n$

Applying this law to the numerator; we have

$\frac{(7^{2})^{t}}{49^{0.5}}$

Expand expression in bracket

$\frac{(7 * 7)^{t}}{49^{0.5}}$

$\frac{49^{t}}{49^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{49^{t}}{49^{0.5}}$ becomes

$49^{t-0.5}}$

This is not equivalent to $49^{(2t - 0.5)}$

B. $\frac{49^{2t}}{7^{0.5}}$

Expand numerator

$\frac{(7*7)^{2t}}{7^{0.5}}$

$\frac{(7^2)^{2t}}{7^{0.5}}$

Using law of indices which states;

$(a^m)^n = a^{mn}$

Applying this law to the numerator; we have

$\frac{7^{2*2t}}{7^{0.5}}$

$\frac{7^{4t}}{7^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{7^{4t}}{7^{0.5}}$ = $7^{4t - 0.5}$

This is also not equivalent to $49^{(2t - 0.5)}$

C. $7^{2t}\ *\ 49^{0.5}$

$7^{2t}\ *\ (7^2)^{0.5}$

$7^{2t}\ *\ 7^{2*0.5}$

$7^{2t}\ *\ 7^{1}$

Using law of indices which states;

$a^m*a^n = a^{m+n}$

$7^{2t+ 1}$

This is also not equivalent to $49^{(2t - 0.5)}$

6 0

4 years ago

If the ratio of circles to triangles you will only need to write ratios in one form of your choice

harina [27]

Answer:

Ratio of area of circles: = πr2 :πc2 = πr2 :π r2 4 = 4 :1. 1. The small equilateral triangle is rotated through 60° about O, the center of the circle. The arm of the rotation is the radius of the circle

Step-by-step explanation:

4 0

3 years ago

What is 30/60 simplified and what do you multiply to get that?

maksim [4K]

1/2
Divide each number by 30

7 0

3 years ago

Lcm of 2 and 3 very very very urgent

Licemer1 [7]

Answer: 6

Step-by-step explanation: 2x3=6 it’s the lowest multiple

5 0

2 years ago

Read 2 more answers