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3 years ago

Which pair of ratios form a true proportion

1 answer:

7 0

Hey there!

I'd say your answer would most likely be Option C

Because you can multiply the $\frac{3}{5}$ by $2$ (numerator and denominator by $2$ ) to get the fraction $\frac{6}{10}$

$\frac{3(2)}{5(2)} = 2(3) = 6 = 5(2)= 10 = \frac{6}{10}$

Good luck on your assignment and enjoy your day!

~ $LoveYourselfFirst:)$

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Which values are solutions to the inequality –3x – 4 < 2? Check all of the boxes that apply.

luda_lava [24]

Answer:

$x>-2$

Step-by-step explanation:

We will need to solve the inequality:

–3x – 4 < 2

Before starting we need to understand 1 rule of inequalities. That is:

We change the inequality sign whenever we multiply or divide by a negative number. That means

< changes to >

and

≥ change to ≤

and vice versa...

Now, let's go ahead and solve the inequality:

$-3x-4$

"x" is the set of all values that is greater than "-2". So that's the answer.

x > -2

4 0

3 years ago

Read 2 more answers

Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2

Dima020 [189]

ANSWER

The solution is where the two graphs intersect, which is
$(-3,1).$

EXPLANATION

The given system of equations are
$y = \frac{1}{3} x + 2$
and

$y = - x - 2$

We need to graph the two equations.

Let us graph

$y = \frac{1}{3} x + 2$
first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When
$x = 0$

$\Rightarrow \: y = \frac{1}{3} (0) + 2$

$\Rightarrow y = 0 + 2$

$\Rightarrow y = 2$

So this gives us the ordered pair,

$(0,2)$

When
$y = 0$
we get,

$0= \frac{1}{3} x + 2$

$\Rightarrow \: - 2 = \frac{1}{3} x$

$\Rightarrow \: - 2 \times 3= x$

$\Rightarrow \: -6= x$
This also gives the ordered pair

$(-6,0).$

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line

$y = - x - 2$

We again find the intercepts and plot them.

When
$x = 0$

$y = - 0 - 2$

$\Rightarrow \: y = - 2$

This gives the ordered pair

$(0,-2)$

Also, when
$y = 0$

then we have,

$0 = - x - 2$

$2 = - x$

$x = - 2$

Then we again have the ordered pair,

$(-2,0)$

We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is
$(-3,1)$

You will get good grades so don't worry much.

4 0

3 years ago

Hiram raises earthworms. In a square of compost 4 ft by 4 ft, he can have 1000 earthworms. How many earthworms can he have if hi

charle [14.2K]

64,000 I believe. What I did was find the area so 4*4 =16. 1000/16 = 62.5 earthworms per square foot. So if the side is 8 times longer then 8*4= 32 feet per side and to find the area of that it's 32*32 = 1024 feet squared. So 62.5 * 1024 =64,000

6 0

3 years ago

Read 2 more answers

How many times larger is 7 x 106 than 3.5 x 10°?

pickupchik [31]

7 x 106 = 742 3.5 x 10 = 35 742-35=701.it is 701 time larger

6 0

3 years ago

Does a proportional relationship have a constant rate of change?

Zarrin [17]

Yes it does and ipthe equation also is y=kx or k=yx

5 0

3 years ago