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svet-max [94.6K]
3 years ago
13

ALGEBRA! NEED HELP!

Mathematics
1 answer:
grigory [225]3 years ago
5 0
The base's length is 8 and it's width is 7, so it's perimeter will be 2\cdot (7+8)=30 . To find the lateral area you shoul multiply this with it's height. So, 30\cdot h=150\\ h=\frac { 150 }{ 30 } \\ h=5 (h is height).

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The garden view hotel is seventeen less than twice the height of the plaza hotel. If their combined height is 361 feet, how tall
lisov135 [29]

The garden view hotel is 235 feet tall

Step-by-step explanation:

The given is:

  • The garden view hotel is seventeen less than twice the height of the plaza hotel
  • Their combined height is 361 feet

We need to find the height of the garden view hotel

Assume that the height of garden view hotel is x feet and the height of the plaza hotel is y feet

∵ The height of the garden view hotel = x feet

∵ The height of the plaza hotel = y feet

∵ The height of the garden view hotel is 17 less than twice the

    height of the plaza hotel

- That means x is less than 2 × y by 17, equate x by the difference

   of 2 × y and 17

∴ x = 2y - 17 ⇒ (1)

∵ Their combined height = 361 feet

∴ x + y = 361

- Find y in terms of x by subtraction x from both sides

∴ y = 361 - x ⇒ (2)

Substitute y in equation (1) by equation (2)

∵ x = 2(361 - x) - 17

- Simplify the right hand side

∴ x = 722 - 2x - 17

- Add like terms

∴ x = 705 - 2x

- Add 2x to both sides

∴ 3x = 705

- Divide both sides by 3

∴ x = 235

The garden view hotel is 235 feet tall

Learn more:

You can learn more about the word problems in brainly.com/question/13174281

#LearnwithBrainly

3 0
3 years ago
An artist made a stained glass window that is 3 1/2 feet by 2 3/4 feet. The artist design used squares of colored glass that mea
Westkost [7]

Answer: 154

<span>In one side of the glass window measuring 3 ½ feet, we can make  (3.5/.25) exactly 14 pieces of a ¼ foot.</span>

The other side of the glass window which measures 2 ¾ feet we can produce (2.75/,25) or 11 pcs of a ¼ foot.

<span>The artist used (14*11) or 154 colored squares.</span>

6 0
4 years ago
Rachel has a drawerful of pop, rock, metal, and country CDs. The table gives the probability of randomly picking a CD of each ty
AlekseyPX

Answer:

country CDs. The table gives the probability of randomly picking a CD of each type from. ... Music Style Probability of Picking a CD pop 0.2 rock 0.1 metal 0.3 country 0.4 Rachel picks a CD 150 times, replacing each pick before the next draw.

Step-by-step explanation:

7 0
3 years ago
the wholesale price for a pair of shoes is $5.50. A certain department store marks up the wholesale price by 40%. Find the price
Furkat [3]

EXPLANATION

Price of shoes = $5.50

Markup= 40%

Let's call x to the unknown final price.

The markup percentage relationship is given by the following formula:

\text{Markup =( }\frac{Selling\text{ Price}-\text{Cost Price}}{\text{Cost Price}})\cdot100

Replacing terms:

\text{40}=(\frac{x-5.5}{5.5})\cdot100

Multiplying both sides by 5.5:

40\cdot5.5=(x-5.5)\cdot100

Dividing both sides by 100:

\frac{40\cdot5.5}{100}=x-5.5

Adding 5.5 to both sides:

(\frac{40\cdot5.5}{100})+5.5=x

Simplifyng the fraction:

2.2+5.5=x

Adding numbers:

\text{7}.7\text{ = x}

Switching sides:

x=7.7

Answer: The final price of the shoes in the deparment store is $7.7

6 0
1 year ago
I need help Im helping my lil sis but im to lazy to help her out so can someone answer?
netineya [11]

Answer: ok it is 81/100.

Step-by-step explanation:Just add them together which gives you 81/100 .chnage 7/100 to 70/100 then combine 11/100 which equals 81/100.

:)

7 0
3 years ago
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