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s2008m [1.1K]
3 years ago
5

Multiply or divide. write fractions in simplest form.

Mathematics
1 answer:
evablogger [386]3 years ago
8 0

Answer:

3/4

Step-by-step explanation:

(-2/7) / (-8/21)

When dividing by a fraction flip it over and multiply

(-2/7) * (-21/8)

Cancel 2 and 8

(-1/7) * (-21/4)

Cancel 7 and 21

(-1/1) * (-3/4)

multiply

3/4

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Solve the following maximization problem graphically.
rjkz [21]

The maximized value of the function is (c) 119/2

<h3>Maximization problem</h3>

Maximization problems are used to determine the optimal solution of a linear programming model

<h3>Objective function</h3>

The objective function is given as:

P(x,y) = 11x + 10y

<h3>Constraints</h3>

The constraints are given as:

22x + 2y \le 68

8x + 16y \le 68

x,y\ge 0

<h3>Graph</h3>

See attachment for the graph of the constraints

From the graph, the optimal solution is: (2.83, 2.83)

So, the maximized value is:

P(x,y) = 11x + 10y

P =11 \times 2.833 + 10 \times 2.833

P =59.493

Approximate

P =59.5

Rewrite as a fraction

P =\frac{119}{2}

Hence, the maximized value of the function is (c) 119/2

Read more about maximization problem at:

brainly.com/question/16826001

6 0
2 years ago
Solve the following quadratic equation using the quadratic formula.<br><br> −2y^2+5=7y
Vikki [24]

Answer:

y=(7±√89)/-4

Step-by-step explanation:

y=(-b±√b^2 -4ac)/2a

Rewrite given equation in quadratic form so it is -2y-7y+5=0

Then, in formula, sub -2 for a, -7 for b, and 5 for c

y=-(-7)±√(-7)^2 -4(-2)(5)/2(-2)

When you multiply that out you get

7±√49-(-40)/-4

The next step is the answer given above

If you need the answer not in sq rt form, it is y=-4.1085 and y=0.0608

3 0
3 years ago
A few weeks into the deadly SARS (Severe Acute Respiratory Syndrome) epidemic in 2003, the number of cases was increasing by abo
DaniilM [7]

Answer: The required exponential model is 1804(1.04)^t

Step-by-step explanation:

Since we have given that

Initial cases = 1804

Rate of growth = 4%

Since it is increasing exponentially,

So, it becomes,

A=ab^t

Here, a = 1804

b = 1+r=1+0.04=1.04

So, it becomes,

A=1804(1.04)^t

Hence, the required exponential model is 1804(1.04)^t

6 0
3 years ago
Two large topping pizzas cost $25.00. what is the constant of proportionality (k)?
Gemiola [76]
2k = 25

Divide 2 on each side

k = 12.5

Each pizza would cost $12.50

Hope this helps!

5 0
4 years ago
A=R/2L what does L equal
adoni [48]
A=R/2L
A×L=R/2
L=R/2×A
8 0
4 years ago
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