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Vaselesa [24]
3 years ago
8

Which of the following is equal to 3 * 2 + 4 * 5?

Mathematics
1 answer:
worty [1.4K]3 years ago
8 0

Answer:

= 26

Step-by-step explanation:

... 3 × 2 + 4 × 5 ...

6 + 20

26

You might be interested in
You have $7000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want
Arlecino [84]

Answer:

1857.12 square meters

Step-by-step explanation:

Let L be the length of the rectangle and 'W' be the width

Perimeter = 2L + 2W + 2W

The fencing material costs $30 per meter.

The material for the partitions costs $25 per meter

cost=30(2L + 2W) +25( 2W)\\60L+60W+50W\\60L +110W

7000=60L+110W

Solve for L

7000=60L+110W\\7000-110W= 60L\\L=\frac{700}{6} -\frac{11}{6} W

Area = length times width

( \frac{700}{6} -\frac{11}{6} W)(W)\\A(W)=\frac{700}{6}W -\frac{11}{6} W^2

Now take derivative and set it =0

A(W)=\frac{700}{6}W -\frac{11}{6} W^2\\A'(W)=\frac{700}{6} -\frac{22}{6} W

set the derivative =0  and solve for W

0=\frac{700}{6} -\frac{22}{6} W\\\frac{700}{6}=\frac{22}{6} W\\W= 31.8

So width = 31.8 that gives maximum area

L=\frac{700}{6} -\frac{11}{6} (31.8)=58.4

Area = length  \cdot width = 31.8 \cdot 58.4= 1857.12 square meter

4 0
3 years ago
Six Republicans and four Democrats have applied for two open positions on a planning committee. Since all the applicants are qua
Dafna11 [192]

Answer:

\displaystyle P=\frac{7}{15}=0.467

Step-by-step explanation:

<u>Probabilities</u>

When we choose from two different sets to form a new set of n elements, we use the so-called hypergeometric distribution. We'll use an easier and more simple approach by the use of logic.

We have 6 republicans and 4 democrats applying for two positions. Let's call R to a republican member and D to a democrat member. There are three possibilities to choose two people from the two sets: DD, DR, RR. Both republicans, both democrats and one of each. We are asked to compute the probability of both being from the same party, i.e. the probability is

P=P(DD)+P(RR)

Let's compute P(DD). Both democrats come from the 4 members available and it can be done in \binom{4}{2} different ways.

For P(RR) we proceed in a similar way to get \binom{6}{2} different ways.

The total ways to select both from the same party is

\displaystyle \binom{4}{2}+\binom{6}{2}=4+15=21

The selection can be done from the whole set of candidates in \binom{10}{2} different ways, so

\displaystyle P=\frac{21}{\binom{10}{2}}

\displaystyle P=\frac{21}{45}=\frac{7}{15}=0.467

3 0
3 years ago
Whats an excuse to not hang out?
mote1985 [20]

I have to drive my grandpa to the hospital

3 0
3 years ago
Read 2 more answers
Mrs. Drilon’s electric meter reading last month was 1023, and her present electric meter reading is 1053. What is her electric c
irina1246 [14]

Answer:

30

Step-by-step explanation:

Subtract the 1023 reading from the 1053 one:  

1053

-1023

---------

     30

Her electric consumption was 30.

4 0
3 years ago
The model represents 100% of the cost of a trip to the Bahamas.
Romashka [77]
Can you provide the model?
5 0
3 years ago
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