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tamaranim1 [39]
3 years ago
7

The rational number -21/28 in standard form is a) -3/4 b) 3/4 c) 3/7 d)-3/7

Mathematics
1 answer:
Savatey [412]3 years ago
5 0
Answer:
-3/4

Explanation:
-21 and 28 are both multiples of 7. Divide the numerator and denominator by 7 to simplify it.

-21/28
= -3/4

I hope this helps!
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Need help here plss
umka2103 [35]

Answer:

Solutions: b, c, d, e

Not Solutions: a

Step-by-step explanation:

There are two ways to solve this problem: you could graph the system and check which points fall in the solution set or you could substitute the x  and y values of each point into the inequalities that make up the system. I'm going to use the former because it's quicker, in my opinion.  

Step 1: Graph

Rewriting the first inequality gives us:

2x+5y

5y

y

To graph this, draw the line  y=-\frac{2}{5}x +2 and then, because the sign is " ", shade below the line and make it a dashed line. This is the red inequality on the graph.

Rewriting the second inequality gives us:

3x-4y\geq -8

-4y\geq -3x-8

y\leq \frac{3}{4}x+2

To graph this, draw the line  y\leq \frac{3}{4}x+2 and then, because the sign is " \leq", shade below the line and keep it a solid line. This is the blue inequality on the graph.

The solution set of the system will be the region where the two shaded areas overlap, which is the purple area.

Step 2: Check Points

Now, all we need to do is check whether each point lies in the purple region on the graph.

(3,5) lies above the purple region, but it isn't in the region, so it is not a solution to the system.

(-2,10) does lie in the purple region, so it is a solution to the system.

(5,-12) does lie in the purple region, so it is a solution to the system.

(-6,-8) does lie in the purple region, so it is a solution to the system.

Finally, (0,0) lies in the purple region, so it is a solution to the system.

Hope this helps!

5 0
3 years ago
How long would it take a car to travel 20 miles if its average speed is 60 mph?
icang [17]
It would take 20 minutes to travel 20 miles at 60mph
7 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST
Svetach [21]

Answer:

Check explanation

Step-by-step explanation:

I'll give you my way of solving it and you can figure it out from there.

<CEA = <DEB due to vertical angles

AE = ED due to midpoint theorem

<CAD = <ADB due to alternating angles theorem

thus two triangles congruent due to ASA

5 0
3 years ago
If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11? y = StartF
Natalka [10]

Answer: (18/5) * 11

Step-by-step explanation:

In equations of proportion, to proceed, we need to determine the constant of proportion, let's denote as "k"

Since y ~ x

Means y=kx.

To determine the value of k, we input initial values of y and x.

Initial value of y = 18

Initial value of x = 5

The equation becomes :

18 = 5k

k = 18/5.

Now, If given the value of x as 11,to determine the value of y we go back to the equation.

y= kx

y = 18/5 * 11.

6 0
3 years ago
Read 2 more answers
Pleaseee help me quicly
leonid [27]

Answer:

Q.4=2x^2

Q.5=6l^2

may be this is helpful.

8 0
3 years ago
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