All categories

3 years ago

The ratio of pears to green apples is 1:3 if there are 150 green apples how many pears are there

Mathematics

2 answers:

Ymorist [56]3 years ago

5 0

50. 150 divided by 3

tankabanditka [31]3 years ago

4 0

Answer:

$\large\bf \underline{Given}$

The ratio of pears to green apples is 1:3 if there are 150 green apples

$\large \bf \underline{To \: Find}$

How many pears are there

$\large \bf \underline{Solution}$

Let The Number of pears be <u>x</u><u>.</u>

$\dag \underline \frak{ \pmb{According \: To \: Question }}$

Pears:Apples::Pears:Apples

$\dag \underline\frak{ \pmb{So,}}$

$\implies \sf1:3:: x:150$

$\implies \sf \dfrac{1}{3} = \dfrac{x}{150}$

$\implies \sf{3x = {150} }$

$\implies \sf{x = \cancel\dfrac{150}{3} }$

$\implies \sf{x = 50 }$

$\bigstar \underline{\boxed {\bf \red{Pears = 50}}}$

Henceforth,There are 50 pears..

You might be interested in

Which of the following functions are homomorphisms?

Vikentia [17]

Part A:

Given $f:Z \rightarrow Z,$ defined by $f(x)=-x$

$f(x+y)=-(x+y)=-x-y \\ \\ f(x)+f(y)=-x+(-y)=-x-y$

but

$f(xy)=-xy \\ \\ f(x)\cdot f(y)=-x\cdot-y=xy$

Since, f(xy) ≠ f(x)f(y)

Therefore, the function is not a homomorphism.

Part B:

Given $f:Z_2 \rightarrow Z_2,$ defined by $f(x)=-x$

Note that in $Z_2$ , -1 = 1 and f(0) = 0 and f(1) = -1 = 1, so we can also use the formular $f(x)=x$

$f(x+y)=x+y \\ \\ f(x)+f(y)=x+y$

and

$f(xy)=xy \\ \\ f(x)\cdot f(y)=xy$

Therefore, the function is a homomorphism.

Part C:

Given $g:Q\rightarrow Q$ , defined by $g(x)= \frac{1}{x^2+1}$

$g(x+y)= \frac{1}{(x+y)^2+1} = \frac{1}{x^2+2xy+y^2+1} \\ \\ g(x)+g(y)= \frac{1}{x^2+1} + \frac{1}{y^2+1} = \frac{y^2+1+x^2+1}{(x^2+1)(y^2+1)} = \frac{x^2+y^2+2}{x^2y^2+x^2+y^2+1}$

Since, f(x+y) ≠ f(x) + f(y), therefore, the function is not a homomorphism.

Part D:

Given $h:R\rightarrow M(R)$ , defined by $h(a)= \left(\begin{array}{cc}-a&0\\a&0\end{array}\right)$

$h(a+b)= \left(\begin{array}{cc}-(a+b)&0\\a+b&0\end{array}\right)= \left(\begin{array}{cc}-a-b&0\\a+b&0\end{array}\right) \\ \\ h(a)+h(b)= \left(\begin{array}{cc}-a&0\\a&0\end{array}\right)+ \left(\begin{array}{cc}-b&0\\b&0\end{array}\right)=\left(\begin{array}{cc}-a-b&0\\a+b&0\end{array}\right)$

but

$h(ab)= \left(\begin{array}{cc}-ab&0\\ab&0\end{array}\right) \\ \\ h(a)\cdot h(b)= \left(\begin{array}{cc}-a&0\\a&0\end{array}\right)\cdot \left(\begin{array}{cc}-b&0\\b&0\end{array}\right)= \left(\begin{array}{cc}ab&0\\-ab&0\end{array}\right)$

Since, h(ab) ≠ h(a)h(b), therefore, the funtion is not a homomorphism.

Part E:

Given $f:Z_{12}\rightarrow Z_4$ , defined by $\left([x_{12}]\right)=[x_4]$ , where $[u_n]$ denotes the lass of the integer $u$ in $Z_n$ .

Then, for any $[a_{12}],[b_{12}]\in Z_{12}$ , we have

$f\left([a_{12}]+[b_{12}]\right)=f\left([a+b]_{12}\right) \\ \\ =[a+b]_4=[a]_4+[b]_4=f\left([a]_{12}\right)+f\left([b]_{12}\right)$

and

$f\left([a_{12}][b_{12}]\right)=f\left([ab]_{12}\right) \\ \\ =[ab]_4=[a]_4[b]_4=f\left([a]_{12}\right)f\left([b]_{12}\right)$

Therefore, the function is a homomorphism.

7 0

3 years ago

The height of Mountain P is 1,086 feet.The height of Mountain Q is 4 times the height of Mountain P.The area model shown below r

earnstyle [38]

Answer:

A=4000, B=80, C=24

Step-by-step explanation:

You forgot to put the correct area model, I attached it to the answer.

We have the fact that Mountain Q is 4 times the height of Mountain P. That's the "4" we have in the left side of our model. It's like having a multiplication table, next to the "4" we have "A" and upper this we have "1000", the only thing we have to do is multiplify 4*1000=4000. The next letter we have is B and below it we have "320", we divided it by 4, 320/4=80. The last letter we have is C, and is below a "6", we only have to multiplify it by 4, 6*4=24.

At the end we only sum our

A + 320 + c = 4344 (4 times the height of Mountain P).
1000 + B + 6 = 1086(the height of the Mountain P).

8 0

3 years ago

Help me please please now asap

Oduvanchick [21]

120 different 3digit numbers

6 0

3 years ago

If n + 10 = 45.5, then what is the value of the expression n - 25?

Citrus2011 [14]

Answer: 90

Step-by-step explanation:

45.5-.5=45

45^2=90

8 0

3 years ago

What is the point of comparing prices?

kherson [118]

Answer:

To know which is better to pay.

Step-by-step explanation:

Good Luck

6 0

3 years ago

Read 2 more answers

The ratio of pears to green apples is 1:3 if there are 150 green apples how many pears are there​

The ratio of pears to green apples is 1:3 if there are 150 green apples how many pears are there