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4 years ago

Four equivalent expressions for 90+21

Mathematics

1 answer:

Kobotan [32]4 years ago

3 0

All of the expressions must equal 111.

So it could be 91 + 20, 68 + 43, 45 + 66, 75 + 36, etc.

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Which of the following number sentences is represented on the number line shown below?

vovangra [49]

Answer:

Step-by-step explanation:

The number line goes back 2 so it's adding -2 which makes it go back and then you add 5 which brings it out of the negatives and lands on positive 3

6 0

3 years ago

Read 2 more answers

X = -3 + 5y - 6 for y

prohojiy [21]

Answer:

y = 1/5x + 9/5.

Step-by-step explanation:

x = -3 + 5y - 6

5y - 3 - 6 = x

5y - 9 = x

5y = x + 9

y = 1/5x + 9/5.

Hope this helps!

6 0

3 years ago

A group of friends were working on a student film that had a budget of $1140. They used 65% of their budget on costumes. How muc

Stells [14]

Answer:

They use 741 dollars

Step-by-step explanation:

Write 65% as

65/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

65/100 of 1140 = 65/100× 1140

Therefore, the answer is 741

If you are using a calculator, simply enter 65÷100×1140 which will give you 741 as the answer.

4 0

3 years ago

What is the equation of the line of best fit for the following data? Round the

Svet_ta [14]

Answer:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=438-\frac{44^2}{5}=50.8$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=415-\frac{44*42}{5}=45.4$

And the slope would be:

$m=\frac{45.4}{50.8}=0.8937 \approx 0.894$

Now we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{44}{5}=8.8$

$\bar y= \frac{\sum y_i}{n}=\frac{42}{5}=8.4$

And we can find the intercept using this:

$b=\bar y -m \bar x=8.4-(0.894*8.8)=0.535$

So the line would be given by:

$y=0.894 x +0.535$

And the best option is:

A. y = 0.894x + 0.535

Step-by-step explanation:

We have the following dataset given

x: 5,6,9,10,14

y: 4,6,9,11,12

We want to find the least-squares line appropriate for this data given by this general expresion:

$y = mx +b$

Where m is the slope and b the intercept

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 44$

$\sum_{i=1}^n y_i =42$

$\sum_{i=1}^n x^2_i =438$

$\sum_{i=1}^n y^2_i =398$

$\sum_{i=1}^n x_i y_i =415$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=438-\frac{44^2}{5}=50.8$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=415-\frac{44*42}{5}=45.4$

And the slope would be:

$m=\frac{45.4}{50.8}=0.8937 \approx 0.894$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{44}{5}=8.8$

$\bar y= \frac{\sum y_i}{n}=\frac{42}{5}=8.4$

And we can find the intercept using this:

$b=\bar y -m \bar x=8.4-(0.894*8.8)=0.535$

So the line would be given by:

$y=0.894 x +0.535$

And the best option is:

A. y = 0.894x + 0.535

4 0

4 years ago

The school department made $2,142 on ticket sales for 3 nights. Each ticket costs $7. How many tickets did they sell each night?

svetlana [45]

they sold 21 tickets each night

7 0

4 years ago