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slava [35]
3 years ago
15

A test has twenty questions worth 100 points. The test consists of multiple choice questions worth 3 points each and extended re

sponse questions worth 11 points each.
How many multiple choice questions are on the test?
Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0
X+y=20 (3x+3y=60)
3x+11y=100

8y=40
y= 5
X=15
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Which shows how the distributive property can be used to evaluate 7x8 4/5?
Yuri [45]

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)]   (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5  (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

5 0
3 years ago
Read 2 more answers
Y= 2x +2
Airida [17]

Answer:

The system has one solution, at a single point of intersection.

Step-by-step explanation:

I'm going to assume that g and y are the same thing here, on a normal xy-coordinate plane. If there is actually a third dimension, 'g', then I am probably wrong, and I apologize.

For a system of 2 linear equations, a 'solution' is a point of intersection for the two lines.

If the two lines are parallel, they will have no intersection. These two equations are in the form y = mx + b, where m is the slope. <u>If their slopes are the same, then the lines are parallel.</u> The first equation has a slope of 2. The second equation has a slope of 6. 2 ≠ 6, obviously. They are are <u>not </u>parallel, so there is <u>at least one</u> solution (intersection)

If two equations are 'equivalent', then they represent the same exact line and you cannot find a unique solution to the system because there is no single point where they intersect. They intersect at <u>all </u>points, so there are an infinite number of solutions. Two equations in the same format (like point-slope) will be equivalent if you see that one is just a multiple of the other. That is not the case here. They are not equivalent, so there are not an infinite number of solutions.

For the intersection of two lines in a plane, that intersection is no point, 1 point, or infinite points.

We have ruled out no point and we have ruled out infinite points.

There must be a solution of one point where the two lines intersect.

That would be consistent with answers B and E as shown in your Brainly question.

4 0
3 years ago
Read 2 more answers
HELP ASAP<br><br><br>What is the ratio 25 to 65 written as a fraction in lowest terms?​
alekssr [168]

The GCF (Greatest Common Factor) of 25 and 65 is 5. So, we can divide both numbers by 5.

25 / 5 = 5

65 / 5 = 13

Now, put it into a fraction.

5/13

This cannot be simplified any further.

Best of Luck!

5 0
3 years ago
Hey! whats 12.5% of 240km?
JulijaS [17]

Answer:

= 30 km

Step-by-step explanation:

12.5 * 240/100

<em><u>= 30 km</u></em>

6 0
3 years ago
Read 2 more answers
The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hun
Alisiya [41]

Answer:

<h2>8.54 units</h2>

Step-by-step explanation:

Given,

Perpendicular ( p ) = 8 units

Base ( b ) = 3 units

Hypotenuse ( h ) = ?

Using Pythagoras theorem:

{h}^{2}  =  {p}^{2}  +  {b}^{2}

plug the values

{h}^{2}  =  {8}^{2}  +  {3}^{2}

Evaluate the power

{h}^{2}  = 64 + 9

Calculate the sum

{h}^{2}  = 73

Squaring on both sides

h =  \sqrt{73}

Calculate

h = 8.54 units

Hope this helps..

Best regards!

5 0
3 years ago
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