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Oksana_A [137]
3 years ago
9

7x + 2 + 2x - 1 = 91

Mathematics
1 answer:
zhuklara [117]3 years ago
8 0

Answer: 10

Step-by-step explanation:

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On a sunny day a telephone pole cast a shadow that is 10 feet long at the same time 36 inch yardstick cast a shadow that is 15 i
andrew-mc [135]

Answer:

The height of the telephone pole is 24 feet.

Step-by-step explanation:

The same rays are falling on the pole and yardstick, so at the same time of day both pole and yardstick have same angle of elevation from the ground.

<em>The height of yard stick is 36 inch and shadow is 15 inch long.</em>

<em>Let the height of pole be "x" , with shadow 10 feet long.</em>

1 feet  = 12 inches

The 2 triangles are similar. Thus,

<em>\frac{x}{36} = \frac{(10)(12)}{15}</em>

<em>x = 288 inches = \frac{288}{12} = 24 feet</em>

Thus, the height of telephone pole is 24 feet.

3 0
3 years ago
Find the volume of the cone. Round your answer to the nearest tenth.
Kamila [148]

Hello!

To find the volume of a cone, use the formula: V = 1/3πr²h.

In the photo, the height is 6 units, and the diameter is 8 units. Since the radius is half the diameter, then the radius is 4 units.

V = 1/3π(4)²(6)

V = 1/3(6)(16)π

V = 2(16)π

V = 32π

V = 100.5309... This can be rounded to about 100.5.

Therefore, the volume of this cone, is about 100.5 units³.

8 0
3 years ago
Read 2 more answers
Please help me with this word problem!!!
Inessa [10]

Answer:

The number of customers needed to break even is

\simeq 6775.

Step-by-step explanation:

Rent per month = $ 7200

Rent per year, $ 7200 \times 12

                        = $ 86400 -------------(1)

Insurance per year = $ 4200 ---------(2)

Total  direct cost  for 2 servers (withoout  tax) per year,

= $ 2 \times 15 \times 8 \times 5 \times 50

= $ 60000

Total cost for helper ( without tax) per year,

= $ 4 \times 15 \times 5 \times \50

= $ 15000

Total cost for employees per year (without tax),

= $ (60000 +15000)  = $ 75000

Total cost per year for employees including tax,

$ \frac {(75000 \times (100 + 6.2 + 1.45)}{100}

= $ \frac {(75000 \times 107.65 }{100}

= $ 80737.5 -----------------------(3)

So,

total cost for running the restaurant (except food)

= (1) + (2) + (3) = $ (86400 + 4200 + 80737.5)

= $ 171337.5

Average total profit per customer,

= ( Average per customer payment - average cost of food per customer)

= $ (45.47 - 20.18)

= $ 25.29

So, total number of customer needed to break even,

= \frac {171337.5}{25.29}

\simeq   6775

7 0
3 years ago
How would you convert 5 feet 6 inches to inches
ASHA 777 [7]
66 inches just multiply 5 by 12 the add the 6
5 0
3 years ago
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Martin Luther King, Jr. Middle School has a bake sale, selling only cookies and cupcakes. For every 15 cookies sold, there are 7
goldfiish [28.3K]
Do u have notes cause if you do that will help.
8 0
3 years ago
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