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klio [65]
1 year ago
5

What is the least common denominator for 14/9

Mathematics
2 answers:
Ray Of Light [21]1 year ago
7 0
The least common denominator would be 126
-BARSIC- [3]1 year ago
3 0

Answer:

126

Step-by-step explanation:

The LCM of 9 and 14 is 126.

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Daniel and his children went into a bakery and where they sell cupcakes for $3.75 each and donuts for $1 each. Daniel has $20 to
grigory [225]

The system of inequalities are x + y ≥ 7 and 3.75x + 1y ≤ 20 The one possible solution is 4 cupcakes and 3 donuts.

<u>Solution:</u>

Given, Daniel and his children went into a bakery and where they sell cupcakes for $3.75 each and donuts for $1 each.  

Daniel has $20 to spend and must buy a minimum of 7 cupcakes and donuts altogether.  

⇒ "x" represents the number of cupcakes purchased

⇒ "y" represents the number of donuts purchased,  

we have to write and solve a system of inequalities graphically and determine one possible solution.

Now, he should buy minimum 7 items, then x + y ≥ 7 ⇒ (1)

And, he has $20, so his maximum purchase is $20 then, 3.75x + 1y ≤ 20 ⇒ (2)

Now, suppose that he took 5 cupcakes, then he must take at least 2 donuts to satisfy (1)

So, substitute x and y values in (2)

⇒ 3.75(5) + 1(2) ≤ 20

⇒ 20.75 ≤ 20 ⇒ condition failed

So he can take maximum of 4 cupcakes only, and subsequently he has to take minimum of 3 donuts.

Hence, the one possible solution is 4 cupcakes and 3 donuts

7 0
3 years ago
HELP ME Write and solve a proportion to find y.
Phoenix [80]

Given:

A figure of dilation and the center of dilation is O.

To find:

The value of y.

Solution:

The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).

d'\propto d

d'=kd

\dfrac{d'}{d}=k

Where, k is the scale factor or constant of proportionality.

So, the scale factor for the given dilation is

k=\dfrac{OB'}{OB}

k=\dfrac{36}{16}

k=\dfrac{9}{4}

We know that,

k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}

\dfrac{9}{4}=\dfrac{A'C'}{AC}

\dfrac{9}{4}=\dfrac{27}{y}

9\times y=27\times 4

Divide both sides by 9.

y=\dfrac{27\times 4}{9}

y=3\times 4

y=12

Therefore, the value of y is 12.

6 0
3 years ago
Martin Middle School sold two types of pies at the last bake sale — apple and blueberry. If 35/50 of the pies sold were apple, w
cestrela7 [59]

Answer:

30%

Step-by-step explanation:

30%

7 0
3 years ago
John read the first 114 pages of the novel, which was 3 less than 1/3 of the novel
Nastasia [14]
Let p = total pages in the book 
<span>114 pages of a novel which was 3 pages less than 1/3 </span>
<span>114 was 1/3 total pages - 3 pages </span>
<span>114 = 1/3p - 3</span>
6 0
3 years ago
Read 2 more answers
Jack spends 1 1/2 as long on his homework as Jill. Last week Jill spent 9 1/2 hours doing homework. How long did Jack spend doin
alina1380 [7]
The amount of time Jill spent to do her homework 
= 9 1/2 hours. which equals to  570 minutes.

Which means, the amount of times Jack needed to do his is 
= 570 minutes x 1.5
= 855 minutes which equals to 14 1/4 hours

hope this helps
7 0
3 years ago
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