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BabaBlast [244]
3 years ago
7

Which of the following options will definitely balance the third scale?

Mathematics
1 answer:
mel-nik [20]3 years ago
6 0

Answer:

I'd say b... But I'm not very confident about it.. Let me know if it's right.

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Your math teacher tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth
rusak2 [61]
If we assume that
x isthe number of multiple choice questions, and y is the number of word problems, we can write a system of equations like:
{ x + y = 38
{ 2x + 5y = 100

If we multiply the first equation by -2 we get:
{ -2x-2y = -76
{ 2x + 5y = 100

Now if we add both equations we get only equation with 1 unknown (y) :

3y = 24 ⇒ y = 8

Substituting the calculated value to the first equation we get:

x + 8 = 38 ⇒ x = 30

The solution:
{ x = 30
{ y = 8

means that:
The test had 30 multiple choice questions, and 8 word problems.
4 0
3 years ago
Find the length of the arc on a circle of radius r intercepted by a central angle 0. Round answer to
mario62 [17]

Answer:

yes

Step-by-step explanation:

soory i need points

3 0
3 years ago
John received $300 for his birthday he buys 4 DVDs at $12.95 each. Sales tax is 6.5% how much birthday money does he have left
joja [24]

Answer: $244.83


Step-by-step explanation:

First find the original amount spent on dvds:

    $12.95 * 4 = $51.80

Then, the sales tax (6.5% is converted to decimal form by dividing by 100):

    $51.80 * 0.065 = $3.367

Add the sales tax to the original amount to get the total amount spent:

    $51.80 + $3.367 = $55.167

Round to the nearest hundredth:

    $55.167 -> $55.17

Subtract the total amount from the money received for his birthday:

    $300 - $55.17 = $244.83

4 0
3 years ago
Find the sum of the first 8 terms of the sequence. Show all work for full credit.
aliina [53]
1, -3, -7, -11, ...\ \ \ \ \rightarrow\ \ \ the\ arithmetic\ sequence\\\\the\ difference\ of\ the\ sequence\ is\  \ \ \ d=-3-1=-4\\\\the\ sum:\ \ \ \ S_n= \frac{\big{2\cdot a_1+(n-1)\cdot d}}{\big{2}} \cdot n\\\\\\S_8= \frac{\big{2\cdot1+(8-1)\cdot(-4)}}{\big{2}} \cdot8=(2-28)\cdot4=-26\cdot4=-104\\\\Ans.\ The\ sum\ is\ -104.
4 0
3 years ago
Read 2 more answers
The answer to the question.
Dmitriy789 [7]

Answer:

0-4=-4  -4-9=-13

7 0
3 years ago
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