). At a concert, people's hands were stamped as they walked in. To estimate the attendance, the staff randomly

Simplify each expression by combining like terms.<br> 4a+8b<br> Please explain if you can

Drupady [299]

4(a+2b) you have to factor out 4 from the expression

7 0

3 years ago

1. You need a parking for your food truck, so you purchased 26 “parking hours” that you can use over the next month to park your

Readme [11.4K]

The weekday hours you purchased is 5 hours.

The number of weekend hours I can purchase if the weekday hours tripled is 11 hours.

<h3>What are the linear equations that represent the question?</h3>

2a + 10b = 220 equation 1

a + b = 26 equation 2

Where:

a = number of hours for weekday parking
b = number of hours for weekend parking

<h3>How many weekday hours did you purchase?</h3>

Multiply equation 2 by 10

10a + 10b = 260 equation 3

Subtract equation 3 from equation 2

8a = 40

a = 5 hours

<h3>What is the weekend hours I can purchase?</h3>

(5 x 3) + b = 26

15 + b = 26

b = 26 - 15

b = 11 hours

To learn more about simultaneous equations, please check: brainly.com/question/25875552

#SPJ1

6 0

2 years ago

Rewrite in factored form: t^2-3t+10

Vesnalui [34]

Answer:

can't be factored

Step-by-step explanation:

remember the method of factoring

Find two numbers that multiply to give ac and add to give b.
Rewrite the middle with those numbers
Factor the first two and last two terms separately

let's try to do the first step

ac=10×1=10

to figure out b we two factor of 10 that add up to -3

factor of 10:

1,2,5

likewise

-1,-2,-5

as you can see there's no factor that add up to -3 and multiply to give 10

hence,

the expression can't be factored

5 0

3 years ago

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

Alex Ar [27]

Answer:

$y=-2.86 x +228.84$

Step-by-step explanation:

We assume that the data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 53, 22, 35, 38, 166, 13, 185, 25

Find the least-squares line appropriate for this data.

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:

$\sum_{i=1}^n x_i = 50+ 55+ 50+ 79+ 44+ 37 +70+ 45+ 49=479$

$\sum_{i=1}^n y_i =152 + 53 + 22 + 35 + 38 + 166 + 13 + 185 + 25=689$

$\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897$

$\sum_{i=1}^n y^2_i =152^2 + 53^2 + 22^2 + 35^2 + 38^2 + 166^2 + 13^2 + 185^2 + 25^2=91641$

$\sum_{i=1}^n x_i y_i =50*152+ 55*53+ 50*22+ 79*35+ 44*38+ 37*166 +70*13+ 45*185+ 49*25=32654$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.56$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=32654-\frac{479*689}{9}=-4016.11$

And the slope would be:

$m=-\frac{4016.11}{1403.56}=-2.86$

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

$\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.22$

$\bar y= \frac{\sum y_i}{n}=\frac{689}{9}=76.56$

And we can find the intercept using this:

$b=\bar y -m \bar x=76.56-(-2.86*53.22)=228.84$

So the line would be given by:

$y=-2.86 x +228.84$

8 0

4 years ago

Solve for x and y simultaneously in

kumpel [21]

Answer:

forgot to add a pic

Step-by-step explanation:

3 0

3 years ago