MATHEMATICS MIDDLE SCHOOL

Find the sum of 2/5 and 1/3

Answers

Answer 1
Answer: First change them to the same denominator....

2×3  6
__ = __
5×3  15

1×5   5
__  = __
3×5    15

6/15+ 5/15= 11/15.

So the sum is 11/15
Answer 2
Answer: To do the problem change the denominator for both.
2/5 and 1/3
5 and 3 both have 15 as a common multiple.
5*3=15 and 3*5=15
2*3=6 and 1*5=5
6/15 plus 5/15
11/15

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Use (<, >, =) to compare 2⁄3 and 3⁄4. A. None of the above
B. 2⁄3 > 3⁄4
C. 2⁄3 < 3⁄4
D. 2⁄3 = 3⁄4

Answers

We are given fractions 2⁄3 and 3⁄4.

We need to compare them.

In order to compare them, we need to make the denominators same by finding LCD of common denominator.

Common denominator of 3 and 4 is 12.

So, we need to make both denominator as 12.

Multiplying 2/3 by 4 in top and bottom, we get

2*4/3*4 = 8/12

Multiplying 3/4 by 3 in top and bottom, we get

3*3/4*3 = 9/12.

Now, we can compare the numerators.

8/12 is less than 9/12.

Therefore, 8/12 < 9/12.

Or 2/3 < 3/4.

Therefore, correct option is C option 2⁄3 < 3⁄4.
i believe it is C. 2/3<3/4

If anyone could help me with this question it would be much appreciated. I'm stuck as to how to work this out.

Answers

substitute n with 5 and 6

(3x5)+5 = 20
(3x6)+5 = 23

Cassandra drove 370.5 Miles in 6.5 hrs. How many miles per hour did she drive? (:

Answers

I 370.5 divided by 6.5 and got 57 mph.

Answer:

57 mph

Step-by-step explanation:

Divide your miles by your hours to get your speed.

divide 370.5 by 6.5 to get 57

I hoped this helped a little bit.

pls help...1.The given right rectangular prism is composed of small cubes. Find the following is the volume of the prism and the volume of one of the small cubes.

Answers

The volume ofthe rectangular prism is: 1.39 ft³

The volume ofone of the small cubes is: 0.0046 ft³

What is the Volume of a Rectangular Prism?

Volume of rectangular prism = length × width × height

Given the following:

Length = 1 ft

Width = 5/6 ft

Height = 1⅔ ft

Volume of the rectangular prism = 1 × 5/6 × 1⅔ = 1 × 5/6 × 5/3

Volume of the rectangular prism = 25/18 = 1 7/18 ft = 1.39 ft³

Length of the edge of 1 cube = 1/6 ft

Volume of the 1 cube = (1/6)³ = 1/216 = 0.0046 ft³

Learn more about volume of rectangular prism on:

brainly.com/question/12917973

Answer:

1. 1.3778  2. 0.0089

Step-by-step explanation:

to find the volume of the whole rectangle prism you would have to do the volume formula since it is a 3d shape. VOLUME FORMULA, LxWxH.

so 1x0.83x1.66= 1.3778

you can always convert the fraction into decimal to help you calculate the problem.

i don't know if this is correct but i give it a try, so if the whole volume of the triangle is 1.3378 than you can divide that by the the number of small cubes it has inside.

it is 5 by 10 so there are 150 cubes in total.

1.3378 divided by 150=0.0089

im confident about the 1st but not so much with the second

2/3x - 9= 3/4
Find x

1/5x + 8= 3/4

Find x

Answers

(2)/(3)x-9=(3)/(4)\ \ \ \ |multiply\ both\ sides\ by\ LCM(3;4)=12\n\n12\cdot(2)/(3)x-12\cdot9=12\cdot(3)/(4)\n\n4\cdot2x-108=3\cdot3\n\n8x-108=9\ \ \ \ |add\ 108\ to\ both\ sides\n\n8x=117\ \ \ \ |diviede\ both\ sides\ by\ 8\n\nx=(117)/(8)\n\n\boxed{x=14(5)/(8)}



(1)/(5)x+8=(3)/(4)\ \ |other\ method\ like\ first\ . . . . |subtract\ 8\ from\ both\ sides\n\n(1)/(5)x=(3)/(4)-8\n\n(1)/(5)x=(3)/(4)-(4\cdot8)/(4)\n\n(1)/(5)x=(3)/(4)-(32)/(4)\n\n(1)/(5)x=-(29)/(4)\ \ \ \ |divide\ both\ sides\ by\ (1)/(5)\to(multiply\ both\ sides\ by\ 5)\n\nx=-(29)/(4)\cdot(5)/(1)\n\nx=-(145)/(4)\n\n\boxed{x=-36(1)/(4)}

Someone help me with this question please

Answers

Create a real world equality problem, then solve:

Example Problem:

Ana sells at least  220  shirts:

Ana  Sold  85  shirts  in the first  3 weeks  of the month:

How many shirts must Ana sell in the last week of the month?



Solution:

Let   S   =    the number  of  shirts Ana sells in the last week of the month.

Total Number  of Shirts  for the month must be greater than 220:

We Write:     85     +     S      ≥     220

We   Solve the inequality by Subtracting  85  from both sides:   S    ≥    135

Therefore,  Ana must sell  135  or more shirts in the last week to go on the school trip.


Solve:   85     +     s      ≥       220    ========>     S     ≥    135

Let's solve your inequality step-by-step.

85     +     s      ≥       220

Step 1: Simplify both sides of the inequality.

s     +     85      ≥        220

Step 2: Subtract 85 from both sides.

s    +     85      −     85      ≥     220   −   85

s     ≥      135

Answer:

s     ≥     135




Check Problem:

85     +     s      ≥       220    ========>     S     ≥    135

We see that =====>   85     +     135     =    220

If Ana sells 135, or more shirts, The total number of shirts she sells that month will be  220  or more  ========>   Answer  Checked




Hope that helps!!!!!!!!!!!                                     : )
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