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2 years ago

Find the slope of the line.

Mathematics

1 answer:

Otrada [13]2 years ago

4 0

Answer:

2/3

Step-by-step explanation:

The slope of the line can be calculated by dividing the vertical distance (rise) by the horizontal distance (run) between the two points.

The first point has coordinates (-1,0), and the second point has coordinates (2,2).

The rise is 2-0=2, and the run is 2-(-1)=3. Therefore, the slope is 2/3.

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Anna makes 120 dolls each month to sell. This month, she increases the number of dolls she makes by 30%. How many dolls does Ann

scoray [572]

120 * .30 (30%) = 36
120+36 = 156

4 0

3 years ago

17% of what number is 3.4

saw5 [17]

Answer:

Step-by-step explanation:

We already have our first value 3.4 and the second value 17. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

Step 1 ---> 3.4 = 17% × Y

Step 2 ---> 3.4 = 17/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 17 we will arrive at:

Step 3 ---> Y = 3.4 × 100/17

Step 4 ---> Y = 3.4 × 100 ÷ 17

Step 5 ---> Y = 20

Finally, we have found the value of Y which is 20 and that is our answer.

<h3><u>*You can easily calculate 3.4 is 17 percent of what number by using any regular calculator, simply enter 3.4 × 100 ÷ 17 and you will get your answer which is 20*</u></h3>

4 0

3 years ago

Solve the system of equations by transforming a matrix representing the system of equation into reduced row echelon form.

Gekata [30.6K]

Take the augmented matrix,

$\left[\begin{array}{ccc|c}2&1&-3&-20\\1&2&1&-3\\1&-1&5&19\end{array}\right]$

Swap the row 1 and row 2:

$\left[\begin{array}{ccc|c}1&2&1&-3\\2&1&-3&-20\\1&-1&5&19\end{array}\right]$

Add -2(row 1) to row 2, and -1(row 1) to row 3:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&-3&4&22\end{array}\right]$

Add -1(row 2) to row 3:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&9&36\end{array}\right]$

Multiply through row 3 by 1/9:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&1&4\end{array}\right]$

Add 5(row 3) to row 2:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&0&6\\0&0&1&4\end{array}\right]$

Multiply through row 2 by -1/3:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&1&0&-2\\0&0&1&4\end{array}\right]$

Add -2(row 2) and -1(row 3) to row 1:

$\left[\begin{array}{ccc|c}1&0&0&-3\\0&1&0&-2\\0&0&1&4\end{array}\right]$

So we have $\boxed{x=-3,y=-2,z=4}$ .

3 0

3 years ago

Answer All The Questions

adell [148]

Answer:

Step-by-step explanation:

From the attachment, we can see that

<EBF = 33°

<EBD = 33°

<FED = 114°

<FBD = 66°

Part 2

The value of y is either of 70 or -80. But then, we all know that speed can not be negative, so the speed was 70 km/h

The return speed is y + 10 = 70 + 10 = 80 km/h

Total time = 350/70 + 350/(70+10)

Total time = 5 + 4.375

Total time = 9.375 hr

5 0

3 years ago

160% of what number is 144

givi [52]

Step-by-step explanation:

Let the number be x

160% of x=144

$160x \div 100 = 144$

then we cross multiply

$160x = 100 \times 144$

$160x = 14400$

divide both sides by 160

$160x \div 160 = 14400 \div 160$

$x = 90$

therefore the number is 90

6 0

2 years ago