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Elena L [17]
2 years ago
8

Graph the systems of equations. {2x+y=8 −x+2y=6 Use the Line tool to graph the lines.

Mathematics
1 answer:
Nitella [24]2 years ago
3 0

Answer:

See attachment

Step-by-step explanation:

We want to graph the system

2x+y=8

-x+2y=6

Let us rewrite the lines in slope intercept form:

y=-2x+8

y=\frac{1}{2}x+3

The first line has a slope of -2 and a y-intercept of 8

The second line has a slope of 1/2 and a y-intercept of 3

We can no graph the lines as shown in the attachment.

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Which of the following options have the same value as 30\%30%30, percent of 818181?
Nataly_w [17]

Answer:

Option B is correct = 0.3 \times 81

Step-by-step explanation:

<u>The complete question is:</u> Which of the following options have the same value as 30% of 81?

Group of choices is:

(A) \frac{30}{100}\times 81 \times 100

(B) 0.3 \times 81

(C) 0.03 \times 81

(D) \frac{3}{10}\times 81 \times 10

(E) 30 \times 81

Now, the expression given to us is 30% of 81.

Simplifying the above expression we get;

   30% of 81  =  \frac{30}{100} \times 81

                     =  \frac{3}{10} \times 81  =  0.3 \times 81

Now, we will solve each of the given options and then see which option matches with our calculation.

Option (A) is given;

\frac{30}{100}\times 81 \times 100  =  30 \times 81

This doesn't match with our answer, so this option is not correct.

Option (B) is given;

0.3 \times 81  

<u><em>This matches with our answer, so this option is correct.</em></u>

Option (C) is given;

0.03 \times 81  

This doesn't match with our answer, so this option is not correct.

Option (D) is given;

\frac{3}{10}\times 81 \times 10  =  3 \times 81

This doesn't match with our answer, so this option is not correct.

Option (E) is given;

30 \times 81  

This doesn't match with our answer, so this option is not correct.

6 0
3 years ago
How do you determine the number of zeros to annex in the product of 0.002 and 0.003?
Marat540 [252]
<span>0.002 x 0.003 = 0.000006

the zeroes are multiplied by the power of 10 which is 1/10 in particular.
For example.
The product of a whole number and a decimal number less than 1 will be greater than the whole number multiplied into. For this theorem to be proven. Let us state the mathematical expression into numbers such that </span><span><span>
1. </span> N x 0.1 = N/0.1 < N</span> <span><span>
2. </span> 1 x 0.5 = 0.5 </span><span><span>
3. </span> 2 x 0.1 = 0.2</span> <span><span>
4. </span> 100 x 0.55 = 55</span><span>  </span>

<span>These three examples and stances then suggest the claim that the product is not equal to the whole number used in the equation.<span>
</span></span>
5 0
3 years ago
Expand each expression. ln (2x)4 4 ln 2 + 4 ln x 4 ln 2 + ln x 8 ln x
san4es73 [151]

Answer:

a)

4 ln 2 + 4 ln x

8 0
3 years ago
Read 2 more answers
What is the measure of EAB in circle F?<br> 72°<br> 92°<br> 148°<br> 200°
Arada [10]

We have been given a diagram. We are asked find the measure of arc EAB.

First of all, we will find the measure of arcs ED and CB using our given information.

We know that measure of an inscribed angle is half the measure of intercepted arc.

We can see that angle EBC is inscribed angle of arc EDC, so measure of arc EDC will be twice the measure of angle EBC.

\widehat{EDC}=2\times m\angle EBC

\widehat{EDC}=2\times 80^{\circ}

\widehat{EDC}=160^{\circ}

Similarly, we will find the measure of arc DCB.

\widehat{DCB}=2\times m\angle DEB

\widehat{DCB}=2\times 70^{\circ}

\widehat{DCB}=140^{\circ}

\widehat{ED}=\widehat{EDC}-\wdiehat{DC}

\widehat{ED}=160^{\circ}-88^{\circ}

\widehat{ED}=72^{\circ}

\widehat{ED}+\widehat{DCB}+\widehat{EAB}=360^{\circ}

72^{\circ}+140^{\circ}+\widehat{EAB}=360^{\circ}

212^{\circ}+\widehat{EAB}=360^{\circ}

\widehat{EAB}=360^{\circ}-212^{\circ}

\widehat{EAB}=148^{\circ}

Therefore, the measure of arc EAB is 148 degrees and option C is the correct choice.

8 0
3 years ago
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What's the answer to this question and how do I solve it?
Katyanochek1 [597]

Answer:

80 gummy bears are in 4 servings.

Step-by-step explanation:

2 servings=40 gummy bears

3 servings=60 gummy bears

<u>40</u>+20=<u>60</u>

Add 20 gummy bears for every serving.

5 servings=100 gummy bears

100-20=<u>80 gummy bears are in 4 servings</u>



OR you can also do:

40÷2=20 gummy bears are in each serving

So, 4x20=<u>80 gummy bears are in 4 servings</u>

7 0
2 years ago
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