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posledela
3 years ago
11

Find the LCD 4/7 and 3/5

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0
I would multiply 4/7 by 5 and 3/5 by 7 to get 20/35 and 21/35. The Least Common factor is 35
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James has a certain amount of money. If he buys $3$ pens and $2$ pencils, he will have $\$2$ left over. If he buys $2$ pens and
labwork [276]

The cost of pen and pencils are related to the number that can be bought

with a given amount of money.

  • <u />\underline{The \ ordered  \ pair \  (a,  \, b)  \ is  \ (6, \,  2)}<u />

Reasons:

The given parameters are;

If  the number number of pens and pencils James buys = 3 pens and 2 pencils, the amount James will have left = $2

If the number of pens and pencils James buys = 2 pens and 3 pencils, the amount James will have left = $6

The amount of money Judith has = The amount of money with James

The number of pens and pencil James and Judith can buy = 6 pens and 6 pencils

The cost of one pen = a

The cost of one pencil = b

Required:

To find the ordered pair (a, b)

Solution:

Let <em>X</em> represent the initial amount of money James has, we get;

X - (3·a + 2·b) = 2...(1)

X - (2·a + 3·b) = 6...(2)

2·X = 6·a + 6·b...(3)

Therefore;

X = (6·a + 6·b) ÷ 2 = 3·a + 3·b

Which from equation (1) gives;

3·a + 3·b - (3·a + 2·b) = 2

3·a + 3·b - 3·a - 2·b = 2

3·b - 2·b = 2

b = 2

Subtracting equation (1) from equation (2) gives;

(X - (2·a + 3·b)) - (X - (3·a + 2·b)) = 6 - 2 = 4

-2·a - 3·b + 3·a + 2·b = 4

a - b = 4

a = 4 + b

∴ a = 4 + 2 = 6

a = 6

<u />

<u />

\underline{The \ ordered  \ pair \  (a,  \, b)  \ is  \ (6, \,  2)}<u />

Learn more about word problems and simultaneous equations here:

brainly.com/question/14294864

8 0
2 years ago
Btw John makes 9$ an hour and amber makes 8$ an hour. REMEMBER TO ANSWER IN MINUTES NOT HOURS.
erik [133]

Answer:

John: 333.3333mins

Amber: 375mins

6 0
2 years ago
Half for Mr. Carson’s students play a sport. Of the students, 2/3 or males. My Half of Mr. Carson’s students play a sport. Of th
jok3333 [9.3K]

Answer:

The fraction of male student who play sport is \frac{3}{4}  

Step-by-step explanation:

Given as :

Out of the total number of students , the fraction of male = \frac{2}{3} of total number of students

Let the total number of students = x

So, The fraction of male student = \frac{2}{3} of x

I.e  The fraction of male student = \frac{2 x}{3}

Again

The number of students who play sports =  \frac{1}{2} of total number of students

Or, The number of students who play sports =  \frac{1}{2} of x

Or, The number of students who play sports =  \frac{x}{2}

Let The total number of male student who play sport = y

So, According to question

\frac{2 x}{3} of y =  \frac{x}{2}

I.e \frac{2 x}{3} × y =  \frac{x}{2}

or, y = \frac{\frac{x}{2}}{\frac{2 x}{3}}

∴ y = \frac{3}{4}

So,  The total number of male student who play sport = y =  \frac{3}{4}

Hence ,The fraction of male student who play sport is \frac{3}{4}  Answer

3 0
3 years ago
What is the product of (p3)(2p2 - 4p)(3p2 - 1)?
Evgen [1.6K]

2p5-4p3(3p2-1)

6p7-2p5-12p5+4p3

6p7-14p5+4p3

8 0
3 years ago
Read 2 more answers
A pair of gucci flip flops cost 91436747$ and a pair of Gucci shoes cost 5685768$ more how much money will the Gucci SHOES cost?
enyata [817]

Answer:the whole brain

Step-by-step explanation:

7 0
3 years ago
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