X-3y=-15 standard form to slope-intercept form

Several mountain climbers move up a mountain

Dimas [21]

Answer:

2 5/8

Step-by-step explanation:

:)

6 0

3 years ago

Luke's Bakery recently spent a total of $69 on new equipment, and their average hourly operating costs are $15. Their average ho

WINSTONCH [101]

Answer:

It will take the bakery 2.875 hours to make back the amount invested.

The total expenses and receipts, both will = $112.125

Step-by-step explanation:

Given:

Cost of equipment = $69

Operation cost per hour = $15

Average hourly receipts = $39

To find how many hours will it take for the Bakery to make back the amount invested and what would the total expenses and receipts both equal

Solution:

Let the bakery take $t$ hours to make back the amount invested.

Operation cost for $t$ hours in dollars will be = $15t$

Equipment cost = $69

Total expenses in dollars can be given as = $15t+69$

Receipts for $t$ hours in dollars will be = $39t$

Since the bakery makes up the amount invested in $t$ hours, so the amount in expenses must be equal to the total receipts for $t$ hours.

Thus, we have:

$39t=15t+69$

Subtracting both sides by $15t$

$39t-15t=15t-15t+69$

$24t=69$

Dividing both sides by 24.

$\frac{24t}{24}=\frac{69}{24}$

∴ $t=2.875$

So, in 2.875 hours the bakery will be able to make back all the investment.

Total expenses in 2.875 hours will be = $15(2.875)+69=43.125+69=\$112.125$

Total receipts will be the same and can be given as = $39\times 2.875 = \$112.125$

6 0

4 years ago

A rectangular turtle aquarium is 6 ft long by 4 ft wide. The aquarium is enlarged by increasing

My name is Ann [436]

Answer:

8ft x 6ft

Step-by-step explanation:

For this problem, we want to create measurements of length and width that double our current area. First we need to find the current area.

C_Length = 6 ft

C_Width = 4 ft

C_Area = C_Length * C_Width

C_Area = 6 ft * 4 ft = 24 ft^2

Now we want our new area to be double the old area.

N_Area = 2C_Area

N_Area = 2 * 24 ft^2

N_Area = 48 ft^2

Now we simply need to find the increase in width and length, distributed equally, that will create the new area.

N_Area = (C_Length + x) * (C_Width + x)

Where x is the amount that each variable is increased by to create the new area.

Now we simply solve for x.

N_Area = (C_Length + x) * (C_Width + x)

48 = (6 + x) * (4 + x)

48 = 24 + 10x + x^2

0 = -24 + 10x + x^2

Now we can either apply the quadratic formula or attempt to factor using the constant break down method.

(x + 12) (x - 2) = 0

x = -12; x = 2

Note that we will choose x = 2 since the other option would require us to have negative material, which is impossible.

Now we can check to validate our answer by plugging in the value of x.

48 ?= (6 + 2) * (4 + 2)

48 ?= (8) * (6)

48 == 48

Thus, we have found the dimensions of the new aquarium, 8ft x 6ft.

Cheers.

6 0

3 years ago

Say a random useless fact

SSSSS [86.1K]

Answer:

We believe in improving school management through service and technology, and we’ve never lost sight of our goal — to help schools, administrators, teachers, and families solve the unique challenges they face.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please help slove thw following expression

Karo-lina-s [1.5K]

Answer:

i think the answer is 38 because u first answer 4x5 and then 7x7 and then 3x5 and hlthen u subtract 20 from 15 and then u add 5 and 42 and then when u get ur answer of 47 u subtract 9

8 0

3 years ago