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Airida [17]
3 years ago
7

On an algebra test ,the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138 find the low

est grade
Mathematics
1 answer:
Rashid [163]3 years ago
3 0

lowest = x \\ highest = x + 42
2x + 42 = 138
138 - 42
2x = 96
2x \div 2x \\ 96 \div 2
x = 48
48 + 42 = 90
the lowest grade is 48, while the highest is 90.
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The sum of two numbers is 67 and the difference is 13 . What are the numbers? PLEASE HELP IM NEW TO THIS AND WANT MY GRADES TO C
Nikitich [7]

Answer:

The two numbers are 40, and 27.

Explanation:

Since there are only two numbers, with two different aspects, you can just make

a system, and solve.

A sum of two numbers adding up to 67 can be modeled by: x + y = 67.

A difference of those same two numbers being 13 can be modeled by: x – y = 13.

You can add the two equations together to eliminate the y value because the -y and y will cancel out:

x + y = 67.

+ x – y = 13.

And you get: 2x = 80.

Now to find x, just divide by 2 on both sides to cancel out the coefficient of 2 in 2x:

2x = 80

÷2 ÷2

x = 40.

So the first number is 40.

Since we know the first number, we can immediately find the other number by substituting it into the first equation.

x = 40 → x + y = 67

(40) + y = 67

-40. -40

Subtract from both sides to cancel the constant terms.

Then you will get that y or the second number is y = 27.

This is true because 40 + 27 = 67, and 40 - 27 = 13.

6 0
3 years ago
PLEASE HELP!! I NEED THIS TO PASS.
Tanzania [10]
Let's apply the Law of Cosines here.  We want the measure of the angle opposite the side with length 16.

Call that angle C.

Then 16^2 = 36^2 + 28^2 - 2(36)(28)cos C.

Solving for C:  cos C = 16^2 - 36^2 - 28^2 
                                     -------------------------  = 0.904, and C = 0.44 rad
                                         -2(28)(36)                           or  C = 25.21 degrees

So each of the 2 equal angles shown has the measure 25.21 degrees.

Unfortunately, I don't know the direction we should go from this point on.




3 0
3 years ago
4^-3 as a fraction....
kaheart [24]
= \frac{1}{ 4^{3} }
= \frac{1}{64}
3 0
3 years ago
Help Help Help Help Help Help HELPPPPP
tamaranim1 [39]

Answer:

only D

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Subtract 4 from 1/6 in parentheses
Rom4ik [11]
I am not sure if what I am about to explain is correct but I hope it is somewhere along the correct path

To solve the problem use the following steps below....

Step 1: Take your numbers and place them in parentheses

(4-1/6)

Step 2: Turn your whole number,4, into a fraction

6/6=1
6/6x4=24/6

Step 3: Place your new fraction back into the problem

(24/6-1/6)

Step 4: Use the operation,subtraction, and minus 1/6 from 24/6

(23/6)
24/6 minus 1/6=23/6

Step 5(is optional): Turn 23/6 into a mixed fraction by dividing 23 by 6

23<span>÷6= 3 5/6

Step 6(is optional): put your answer into a final statement

(4-1/6)=23/6=3 5/6

Answer: 3 5/6

I hope this helps and I apologize in advance if any false information was given.
</span>
3 0
3 years ago
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