Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?

Identify a possible first step using the elimination method to solve the system and then find the solution to the system.

scoundrel [369]

$\bf \begin{array}{lcrrrrr} 2x-5y=11&\stackrel{\stackrel{\textit{\large first step}}{\downarrow }}{\times -3}\implies &-6x&+&15y&=&-33\\ 3x+2y=7&\times 2\implies &6x&+&4y&=&14\\\cline{3-7} &&0&+&19y&=&-19 \end{array} \\\\\\ y = \cfrac{-19}{19}\implies \boxed{y=-1} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{2x-5(-1)=11\implies 2x+5=11}\implies 2x=6\implies x = \cfrac{6}{2}\implies \boxed{x = 3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (3~~,~~-1)~\hfill$

4 0

3 years ago

the figure is made of up of a cone and a cylinder, to the nearest whole number what is the approximate volume of this figure. PL

Deffense [45]

The total volume is the sum of volume of cone and volume of cylinder.

Volume of cylinder = πr²h
π = 3.14
r = 4/2 = 2 mm
h = 2 mm

So, volume of cylinder equals:

$3.14 *(2)^{2}*2 =25.12$ mm³

Volume of cone = $\frac{1}{3} \pi r^{2}h$
π = 3.14
r = 2 mm
h = 3 mm

So, volume of cylinder equals:

$\frac{1}{3}*3.14* (2)^{2}*3=18.84$ mm³

Thus, total volume of the figure = 25.12 + 18.84 = 43.96 mm³

7 0

3 years ago

Use complete sentences to describe why √-1 ≠ -√1

tekilochka [14]

Well let's say that to compare these two numbers, we have to start with the definition first.

Definition

$\displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }$

Looks like we can use any x-values right? Nope.

The value of x only applies to any positive real numbers for one reason.

As we know, any numbers time itself will result in positive. No matter the negative or positive.

Definition II

$\displaystyle \large{ {a}^{2} = a \times a = |b| }$

Where b is the result from a×a. Let's see an example.

Examples

$\displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}$

So basically, their counterpart or opposite still gives same value.

Then you may have a question, where does √-1 come from?

It comes from this equation:

$\displaystyle \large{ {y}^{2} = - 1}$

When we solve the quadratic equation in this like form, we square both sides to get rid of the square.

$\displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }$

Then where does plus-minus come from? It comes from one of Absolute Value propety.

Absolute Value Property I

$\displaystyle \large{ \sqrt{ {x}^{2} } = |x| }$

Solving absolute value always gives the plus-minus. Therefore...

$\displaystyle \large{ y = \pm \sqrt{ - 1} }$

Then we have the square root of -1 in negative and positive. But something is not right.

As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.

Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.

Then we have another number which is -√1. This one is simple.

It is one of the solution from the equation y^2 = 1.

$\displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }$

We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.

Conclusion

So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.

5 0

3 years ago

Read 2 more answers

Chris got 28 out of 35 correct in his test. What fraction of the marks did he get correct?

beks73 [17]

Answer:

4/5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Can someone please answer this?

rosijanka [135]

Answer:

13 foot rounded to the nearest foot

Step-by-step explanation:

the ratio is

nose to head: 2:9

Rushmore mountain Roosevelt :

nose to head : x/60

2/9=x/60

120=9x

x=120/9= 13 1/3 or 13.33

x=13 foot rounded to the nearest foot

3 0

3 years ago

Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?​

Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?