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spin [16.1K]
3 years ago
11

Need some help with these problems!

Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0

Answer:

<em>h=12, w=24, t=8</em>

Step-by-step explanation:

<u>System of Linear Equations </u>

We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.

We have the following data, being  

w = price of a sweatshirt

t = price of a T-shirt

h = price of a pair of shorts

19.

The first condition states the price of a sweatshirt is twice the price of a pair of shorts. We can write it as

\displaystyle w=2h

The second condition states the price of a T-shirt is $4 less than the price of a pair of shorts. We can write it as

\displaystyle t=h-4

The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus

\displaystyle 3w+2h+5t=136

This is the system of equations we need to solve for w,t,h

20.

To solve the system, we replace w in terms of h and t in terms of h. Those relations have been already written, so

\displaystyle 3(2h)+2h+5(h-4)=136

Operating

\displaystyle 6h+2h+5h-20=136

\displaystyle 13h=156

Solving for h

\displaystyle h=12

The other two variables are

\displaystyle w=2h=24

\displaystyle t=12-4=8

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Zachary created a garden that measured7 x 6.5 feet. How many 8-foot rolls of fencing will he need to completely surround the gar
lutik1710 [3]

Answer:

6 rolls

Step-by-step explanation:

7 × 6.5 is 45.5

45.5 ÷ 8 is 5.6875

5.6875≈6

So 6!

8 0
3 years ago
Emmett gathered some data to compare the monthly cost of renting a one-bedroom apartment in Dallas and Austin. The data collecte
Goryan [66]

Answer:

The correct options are;

a) The city's data has the higher median monthly apartment cost of the two cities by $155

b) The city's data had the greater variability among monthly apartment costs because the standard deviation was $49.13 more than that of the other set of data

Step-by-step explanation:

The given data for the cost of renting a one-bedroom apartment in Dallas is presented as follows;

$994, $1,322, $1,075, $1,189, $1,172, $1,465, $1,215, $930, $1,090, $1,288

Which can be arranged in increasing order and analyzed to find the interquartile range, mean and standard deviation using Microsoft Excel as follows;

$930, $994, $1,075, $1,090, $1,172, $1,189, $1,215, $1,288, $1,322, and $ 1,465

The first quartile, Q₁ = $1,054.75

The third quartile, Q₃ = $1,296.5

The interquartile range = Q₃ - Q₁ = $241.75

The median = $1,180.5

The average monthly cost = $1,174

The standard deviation of the sample = $159.9597

The given data for the cost of renting a one-bedroom apartment in Austin is presented in increasing order using Microsoft Excel as follows;

$900, $950, $1,100, $1,250, $1,296, $1,375, $1,389, $1,400, $1,450, $1,495

The interquartile range, mean and standard deviation are found using Microsoft Excel as follows;

The first quartile, Q₁ = $1,062.5

The third quartile, Q₃ = $1,412.5

The interquartile range = Q₃ - Q₁ = $1,412.5 - $1,062.5 = $350

The median = $1,335.5

The average monthly cost = $1,260.5

The standard deviation of the sample = $209.0945

The difference in the median cost of the two cities is $1,335.5 - $1,180.5 = $155

Therefore, the Austin's city data has the higher median monthly apartment cost of the two cities by $155

b) The difference in the sample standard deviation of the two cities is $209.0945 - $159.9597 = $49.13476

Therefore, the Austin city data had the greater variability among monthly apartment costs because the standard deviation was $49.13 more than that of the other set of data.

7 0
3 years ago
Read 2 more answers
Mr. Hills horses, all together, eat 395 pounds of oats each month. If Mr. Hills has 5 horses, and each horse eats the sane amoun
Marizza181 [45]
I would say 80, because without an estimate it'd be 79 and 79x5=395. So 80x5=400, which is the estimate of 395. So 80 is the answer
8 0
3 years ago
Add or subtract as indicated. reduce to the lowest term. 1 1/3 + 2 1/3
Ann [662]
2 1/3 = 7/3

Both numbers should be improper fractions.

11/3 + 7/3 = 18/3

Now the fractions must be simplified
18 ÷ 3 = 6

So 11/3 + 2 1/3 = 6
6 0
3 years ago
Circle the volume in cm^3 of a cylinder with the radius 5cm and height 8cm
Phantasy [73]

Answer:

<em>628 </em>cm^{3}

Step-by-step explanation:

Since the formula to find the volume of a cylinder is \pi r^{2}h, we just need to fill things in.

Since the radius is 5 and the height is 8 and we know that pi=3.14, our new equation is:

3.14*5^2*8.

5*5=25. Now we simplify.

3.14 * 25 * 8

78.5 * 8

<em>628 </em>cm^{3}

Hope this helps!! <3 :)

6 0
3 years ago
Read 2 more answers
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