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son4ous [18]
3 years ago
5

Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a

Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0

Answer:

10/3 of the cabinet

Step-by-step explanation:

Given data

We are given that in 1/5 hour they can install 2/3 kitchen cabinet

We want to find out how many of the kitchen cabinet they can install in one hour

Hence

in 1/5 hour they installed 2/3 cabinet

in 1 hour they will install x cabinet

cross multiply

x* 1/5= 2/3

divide both sides by 1/5

x= 2/3/1/5

x= 2/3*5/1

x= 10/3 of the cabinet

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3 years ago
Find the value of Tan 45°​
Step2247 [10]

Answer:

The exact value of tan(45°) is 1

Step-by-step explanation:

I hope it's helpful!

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3 years ago
In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let x,\ x\ge 0 be the number of students and y,\ y\ge 0 be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

15x+25y\ge 3,750

2. The auditorium can accommodate up to 180 spectators, hence

x+y\le 180

3. We get the system of inequalities:

\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise \$(15\cdot 50+25\cdot 125)=\$3,875

8 0
3 years ago
There is $500 in Holly's bank account. She takes out $50 from her account each month but doesn't put money back in. What is the
galina1969 [7]

Answer:

The rate of change or slope m  = -50

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m  = -50

<u>EXTRA BONUS!</u>

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

y = mx+b

y = -50x + 500

Here:

The slope m = -50

The y-intercept = 500

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3 years ago
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kotegsom [21]
I hope this is the answer :)
45.67=r

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