MATHEMATICS MIDDLE SCHOOL

In a class of 42 students the number of boys is 2/5 of the girls . find the number of boys and girls

Answers

Answer 1
Answer: in plain and short, we simply divide 42 by (2+5) and distribute accordingly.

\bf \cfrac{boys}{girls}\qquad 2:5\qquad \cfrac{2\cdot (42)/(2+5)}{5\cdot (42)/(2+5)}\implies \cfrac{2\cdot 6}{5\cdot 6}\implies \cfrac{12}{30}

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Whats the improper fraction for 3 4/17

Answers

Answer: 55/17

Step-by-step explanation: To write a mixed number as an improper fraction, first multiply the denominator by the whole number, then add the numerator.

So here we multiply the denominator (17) by the whole number (3), then we add the numerator which is 4.

Finally, we put our new number over our old denominator and we have our answer 55/17.

Therefore, 3 and 4/17 can be rewritten as the improper fraction 55/17.

What is the formula for a half circle?

Answers

A semi-circle is half of a circle and the area of a circle of radius r is r2. We know that the radius is 9ft. Pi is approximately 3.14 or 22/7. Now you just have to plug in the numbers and you will find the area! cx 

What is the value of 7/8 +3/4

Answers

Find the common denominator:

7/8+6/8
= 13/8 or 1 (5)/(8)
Since 3/4 equals 6/8, you do 7/8 + 6/8 = 11/8 and that can be simplified to 1 and 3/8 and put into decimal form like 1.375.

1) While your family is visiting Deep Creek Lake, you and your brother decide to go boating. Thepark rangers require a $25.00 down payment to rent a canoe and a rental fee of $10.00 per hour.

a) Write a linear function to model this scenario.

Answers

Answer:

Y=10x+25

Step-by-step explanation:

Hey so let’s take the number of hours we go boating as “x” and the TOTAL cost of this whole trip as “y”.

So obviously y would equal everything else so we can write

Y=

Next, it says we rent a canoe for $10 an hour. That means we would have to multiply 10 and x to find the cost of the rent.

So

Y=10x

Finally, it says we paid a registration fee of $25. This 25 is not affected by the number of hours or anything else. It is a fixed amount so we can represent it as

Y=10x+25

Hope this helps!

What is the sum of the first 4 terms of the arithmeticsequence in which the 6th term is 8 and the 10th term
is 13 ?
F. 10.5
G. 14.5
H. 18
J. 21.25
K. 39.5

Answers

a_6=8;\ a_(10)=13\n\na_(10)-a_6=4r\n\n4r=13-8\n4r=5\ \ \ \ /:4\nr=1.25\n\na_1=a_6-5r\na_1=8-5\cdot1.25=8-6.25=1.75\n\nS_4=(2a_1+(4-1)r)/(2)\cdot4=(2a_1+3r)\cdot2=4a_1+6r\n\nS_4=4\cdot1.75+6\cdot1.25=7+7.5=14.5

Final answer:

The sum of the first 4 terms of the arithmetic sequence where the 6th term is 8 and the 10th term is 13 is 14.5.

Explanation:

In an arithmetic sequence, the difference between consecutive terms is constant. This difference is commonly called the common difference. Given that the 6th term is 8 and the 10th term is 13, we can calculate this common difference.

The common difference is (13 - 8) / (10 - 6) = 5 / 4 = 1.25.

The common difference is backward from the 6th term to the first term or we can say the 6th term minus 5 times the common difference will give us the first term. Therefore, the first term is 8 - 5*1.25 = 8 - 6.25 = 1.75.

The sum of the first 4 terms of an arithmetic sequence is given by the formula S = n/2 *[2a + (n-1)*d], where 'n' is the number of terms (in this case 4), 'a' is the first term, and 'd' is the common difference.

Therefore, substituting our known values into the formula gives us: S = 4/2 *[2*1.75 + (4-1)*1.25] = 2*[3.5 + 3.75] = 2*7.25 = 14.5

Learn more about Arithmetic Sequence here:

brainly.com/question/32830972

Julie uses 12 ounces of cheese in her potato soup recipe. Her recipe yeilds 8 servings. If Julie needs enough for 20 servings how many pounds of cheese will she need?

Answers

How many times does 8 go into 20?
.
Yes. 2.5. Remember it!
.
Hmph. Julie needs 1/2 of a recipe or else she will yield too many or too less servings. 
.
What do we do?! WHAT DO WE DO?!
.
Don't Panic. The Answer to the Ultimate Question of Life, the Universe, and Everything is coming up.
.
Actually, the Answer to the Math Problem.
.
What's half of 8?
.
Yep. 4. Remember it!
.
Remember I told you to remember 2.5?
.
We use it now! 
.
Multiply 12 by 2.
.
Yes, 24!!
.
and the .5?
.
Don't Panic.
.
I told you to remember 4, right?
.
We use it! 
.
What's 24+4?
.
Yes, 28!!
.
28 ounces of cheese it is.
.
oh my that's a lot
.
going to cost a lot... good luck julie!! you're going to rid the corner store of cheese
.
Hope I helped!
.
Any questions, ask away!
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