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2 years ago

If 24 chairs cost a total of $312.00. What is the unit price for each chair?

Mathematics

2 answers:

Kazeer [188]2 years ago

6 0

Answer:

$13 per chair

Step-by-step explanation:

312/24 = $13 per chair

Oxana [17]2 years ago

6 0

Answer:

$13

Step-by-step explanation:

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For each of the equations below, solve for y in terms of x. !<br> a. 2x – 3y = 12

ira [324]

Answer:

$\large\boxed{y=\dfrac{2}{3}x-4}$

Step-by-step explanation:

$2x-3y=12\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\2x-2x-3y=12-2x\\\\-3y=12-2x\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3y}{-3}=\dfrac{12}{-3}+\dfrac{-2x}{-3}\\\\y=-4+\dfrac{2}{3}x$

7 0

2 years ago

last week, ezra's sold 1/3 of tangerines and Anthony sold 3/4 of tangerines as ezra's did. how many boxes of tangerines did Anth

Bond [772]

Answer:

¼ box

Step-by-step explanation:

Ezra sold ⅓ box of tangerines.

Anthony sold ¾ as many as Ezra = ¾ × ⅓ box

Cancel the 3s = ¼ × ¹/₁ box

Multiply numerators and denominators = ¼ box

Anthony sold ¼ box of tangerines.

6 0

2 years ago

What is the largest number of consecutive integers whose sum is 2003?

Sladkaya [172]

$2003 \div 2$ =1001.5

Go .5 below and .5 above this answer to get your consecutive integers.

Therefore the answer is 1001 and 1002.

4 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

Phantasy [73]

Answer:

$y=-2.95836 x +234.56159$

Step-by-step explanation:

We assume that th data is this one:

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

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)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:

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

$\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694$

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

$\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226$

$\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22$

And the slope would be:

$m=-\frac{-4152.222}{1403.556}=-2.95836$

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

$\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222$

$\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111$

And we can find the intercept using this:

$b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159$

So the line would be given by:

$y=-2.95836 x +234.56159$

7 0

2 years ago

What was done wrong ?

atroni [7]

You didn't write the (-2/7) as a power; you were supposed to do b to the power of -2 over 7, which is what the other person done in your other post regarding this

4 0

3 years ago