24g ____ 1,679mg? <br> Complete the inequality statement

10 exponent 5 equals?

Lelu [443]

100,000 would be your answer

4 0

4 years ago

Which strategie would eliminate a variable in the system of equations? −x+6y=8 7x−y=−2

NeX [460]

Answer:

substitution (or addition)

Step-by-step explanation:

A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:

x = 6y -8

7(6y -8) -y = -2 . . . . . x variable eliminated

__

The second equation is easily solved for y, so you could substitute that into the first equation.

y = 7x +2

-x +6(7x +2) = 8 . . . . . y-variable eliminated

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The "addition" method is always a good way to eliminate a variable.

When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.

To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:

7(-x +6y) +(7x -y) = 7(8) +(-2)

42y -y = 56 -2 . . . . . . x-variable eliminated

Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:

(-x +6y) +6(7x -y) = (8) +6(-2)

-x +42x = -4 . . . . . . . . y-variable eliminated

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It is often the case that using either substitution or "addition" requires about the same amount of work.

Here, the solutions are (x, y) = (-4/41, 54/41).

3 0

4 years ago

Jessica used 2/3 yard of fabric to make a scarf. Can she make 2 of these scarves with 1 3/4 yards of fabric, and why?

Alex Ar [27]

Option 1

Jessica can make 2 scarves

yes, because the quotient of $1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}$

<u>Solution:</u>

Given, Jessica used $\frac{2}{3}$ yard of fabric to make a scarf.

We have to find can she make 2 of these scarves with $1\frac{3}{4}$ yards of fabric, and why?

Now, let us find number of scarves that can be made from available scarf

$\text { Number of scarves }=\frac{\text { avaiable scarf }}{\text { fabric required for } 1 \text { scarf }}$

$\begin{array}{l}{=\frac{1 \frac{3}{4}}{\frac{2}{3}}=1 \frac{3}{4} \times \frac{3}{2}} \\\\ {=\frac{4 \times 1+3}{4} \times \frac{3}{2}} \\\\ {=\frac{16+5}{8}=2 \frac{5}{8}}\end{array}$

We know that,

$2 \frac{5}{8}>2$ so we can make 2 scarves.

Hence, yes, we can make 2 scarves because quotient of $1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}$

So 1st option is correct

3 0

3 years ago

I need help ASAP please help!!

Ganezh [65]

Answer:

7

Hope I helped :D

8 0

3 years ago

Read 2 more answers

Which equation is in slope-intercept form and represents a line with slope 0 through the point (2, 3)?

alexandr1967 [171]

I think it would be b) because you're given a slope of 0, so that leaves you with
$y=0x+b$
, resulting into this
$y=b$
You'd be just left with a continuous horizontal line going through the y-axis of 3 since you're passing the point (2,3), where 3 represents the y-value when your slope is at 0.

6 0

3 years ago

24g ____ 1,679mg? Complete the inequality statement