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Usimov [2.4K]
3 years ago
6

What is the inverse of the following statement?

Mathematics
1 answer:
shusha [124]3 years ago
3 0
Hi,
Let assume 
p="the triangle have 3 acute angles"q="the triangle is a acute triangle"
the statement is p==>q
converse is q==>p
inverse is ~p==>~q
contrapositive is ~q==>~p
Answer is  A
<span>"If a triangle does not have three acute angles, then it is not an acute triangle."</span>
<span />
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On Tuesday, Hayley only has 15 cups of flour and 9 eggs, but she has more than enough butter and sugar. Which system of linear i
BabaBlast [244]

<u>Missing part of the question</u>

Hayley bakes zucchini bread and banana bread. Some ingredients Hayley uses for each type of  bread are shown in the tables

Zucchini Bread

2 eggs        2 cups of flour       1.5 cups of sugar        0.5 stick of butter

Banana Bread

1 egg          3 cups of flour        2 cups of sugar          0.25 stick of butter

Answer:

2z + b \le 9

2z + 3b \le 15

Step-by-step explanation:

Given

Flour  = 15

Egg =9

Since there are enough of other ingredients, we will only consider the amount of eggs and cups of flour.

So, we have:

Zucchini Bread

Egg = 2

Flour = 2  

Banana Bread

Egg = 1

Flour = 3

<u>For the eggs</u>

The ratio of eggs to use in the Zucchini bread to Banana bread is:

Egg = 2 (z) : Egg = 1 (b)

This gives:

2z + 1b

The total number of eggs cannot exceed 9.

So, the inequality is:

2z + 1b \le 9

2z + b \le 9

<u>For the flours</u>

The ratio of flours to use in the Zucchini bread to Banana bread is:

Flour = 2 (z) :    Flour = 3 (b)

This gives:

2z + 3b

The total cups of flours cannot exceed 15.

So, the inequality is:

2z + 3b \le 15

Hence:

The system of inequalities is:

2z + b \le 9

2z + 3b \le 15

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3 years ago
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A car is traveling at a rate of 57 miles per hour. What is the car’s rate in miles per minute? How many miles will the car trave
muminat
Hello!

We have to find how fast the car goes a minute

To find this we can do 57/60 since the car goes 57 miles an hour and there are 60 minutes in an hour

This gives us 0.95 miles a minutes

Then we do how fast the car goes a minute by the amount of minutes

So 0.95 * 15 = 14.25

The car goes 14.25 miles in 15 minutes

Hope this helps!
6 0
4 years ago
Evaluate the expression for q = -2. 8q=
Lostsunrise [7]

Answer:

-16

Step-by-step explanation:

8q

Let q = -2

8*-2

-16

3 0
3 years ago
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