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qwelly [4]
3 years ago
9

The Gardenview Hotel is seventeen less than twice the height of the Plaza Hotel. If their combined height is 361 feet, how tall

is the Gardenview Hotel?​
Mathematics
2 answers:
NikAS [45]3 years ago
4 0

Answer:

Height of garden view hotel = 235 ft

Step-by-step explanation:

let

height of the plaza = a

height of Garden view Hotel  = 2a - 17

combined height = 361 ft

The combined height can be represented as follows:

a + (2a - 17) = 361

3a - 17 = 361

collect like terms

3a= 361 + 17

3a = 378

divide both sides by 3

3a/3 = 378/3

a = 378/3

a =  126 ft

Height of garden view hotel = 2 × 126 - 17

Height of garden view hotel = 2 × 126 - 17

Height of garden view hotel = 252 - 17

Height of garden view hotel = 235 ft

andriy [413]3 years ago
3 0

Answer:

The height of Gardenview hotel is 38 feet.

Step-by-step explanation:

To solve this problem let first suppose Garden View Hotel is "x" and the Plaza Hotel is "y" so the first equation as it says in the question will be 17x- 2y =0 and the second equation will be their combined height which is x+y =361 . Now let's solve both the equations simultaneously to get the height of GardenView Hotel.

17_x - 2_{y} =0 (1)

x + y = 361   (2)

Now multiply the second whole equation by 2 so that we can eliminate y from both the equations , after doing that the final equation is 19x = 772 and if we calculate x from this we will get the height of gardenview hotel which is 38 feet.

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A 6th grade football team played six games and scored 17, 14, 30, 24, 21, and 14 points. In their seventh game,
zheka24 [161]

Answer:

a. Mean

a. 79 points is an outlier, and the mean is most responsive to outliers.

Step-by-step explanation:

17, 14, 30, 24, 21, and 14

Let's calculate the measure of central tendency of the numbers first.

Mean = 120/6

Mean = 20

For Median

Let's arrange the numbers in ascending order

14,14,17,21,24,30

The median is 17 and 21

Median value =( 17+21)/2

Median = 38/2

Median = 19

Mode = 14.

After 79 was added.

Mean =( 120+79)/7

Mean = 199/7

28.43

For Median

14,14,17,21,24,30,79

Median= 21

Mode = 14

The value that changed the most was the mean value.

7 0
3 years ago
Tell whether –4 is a solution of the inequality.<br> —3x + 2 &lt; 15. YES OR NO?
NikAS [45]

Answer:

YES

Step-by-step explanation:

-3 times -4 = 12

12 + 2 = 14

14 < 15

7 0
3 years ago
One gram of a certain health food contains 7 percent of the minimum daily requirement of vitamin E and 3 percent of the minimum
Liula [17]

Answer:

Approximately 34 grams of the healthy food

Step-by-step explanation:

For know the minimum value to be eaten daily to provide the requirement of both vitamins, is necessary to calculate the minimum value for every vitamin, so:

  • vitamin E: We are going to use the rule of three in which 1 gram have 7% of the minimum daily requirement, then how many grams are going to be be the 100% of the daily requirement:

1 gram --------------7%

X grams -----------100%

X=\frac{1 gram* 100}{ 7 } = 14.285 grams

So, it is necessary approximately 15 grams of healthy food to complete th 100% of the minimum daily requirement of vitamin E.

  • vitamin A: We are going to use the rule of three in which 1 gram have 3% of the minimum daily requirement, then how many grams are going to be be the 100% of the daily requirement:

1 gram --------------3%

X grams -----------100%

X=\frac{1 gram* 100}{ 3 } = 33.33 grams

So, it is necessary approximately 34 grams of healthy food to complete th 100% of the minimum daily requirement of vitamin E.

Finally for satisfy with both minimum daily requirement, we need to eat at least 34 grams of healthy food, because it is the maximum between the two X values.

3 0
3 years ago
Solve for x. -0.65 + 0.45x = 5.4
FinnZ [79.3K]

Answer:

x = 13.444 ... (repeating decimal) or;

x = 13 4/9

Step-by-step explanation:

-0.65 + 0.45x = 5.4

First we will add 0.65 to each 'side' of the equation.

0.65 + (-0.65) + 0.45x = 0.65 + 5.4

        0.65 + (-0.65) = 0

        0.65 + 5.4 = 6.05

Input the numbers, and now the equation looks like this:

0 + 0.45x = 6.05

Remove the zero:

0.45x = 6.05

Divide each 'side' by 0.45.

0.45x ÷ 0.45 = 6.05 ÷ 0.45

        0.45x ÷ 0.45 = 1x = x

        6.05 ÷ 0.45 = 13.444 ... repeating decimal

Input the numbers, and now the equation looks like this:

x = 13.444 ... repeating decimal

We can also write this as:

x = 13 4/9 in fraction form

3 0
3 years ago
What number times itself is 1,225?
Marrrta [24]

Answer:

35

Step-by-step explanation:

Multiply 35 x 35 together

Please mark brainliest

7 0
2 years ago
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