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Nookie1986 [14]

3 years ago

13

Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, fi

nd a counterexample.
A line is determined by two points.

1 answer:

Tanzania [10]3 years ago

3 0

Answer:

Step-by-step explanation:

It's true

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The sum is 2 One number is twice the other one.

Scorpion4ik [409]

Answer:

The smaller number is 0.6666... repeating, and the larger number is 1.3333... repeating.

Step-by-step explanation:

7 0

3 years ago

1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound

Rufina [12.5K]

1) Resultant fraction: $\frac{65}{63}$

2) Total soil: $1\frac{7}{8}$ pounds

3) Result of the product: $\frac{35}{2}$

Step-by-step explanation:

1)

In this problem, we want to find the product between the two fractions

$\frac{13}{14}$

and

$\frac{10}{9}$

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

$\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}$

Now we simplify, dividing both numerator and denominator by 2:

$\frac{130/2}{126/2}=\frac{65}{63}$

And the fraction cannot be further simplified.

2)

Here we have:

n = 5 (number of pots that Andy has)

$s=\frac{3}{8}$ (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

$t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}$

Which can be rewritten as a mixed fraction as:

$\frac{15}{8}=\frac{8+7}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}$

3)

Here we want to find the result of the following product:

$4\frac{2}{3}\cdot 3\frac{3}{4}$

In order to do so, we first have to rewrite each fraction as an improper fraction.

For the 1st fraction:

$4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}$

For the 2nd fraction:

$3\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}$

Now we can finally find the product of the two fractions:

$\frac{14}{3}\cdot \frac{15}{4}=\frac{14\cdot 15}{3\cdot 4}=\frac{210}{12}=\frac{35}{2}$

Where in the last step, we divide both the numerator and the denominator by 6.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

6 0

3 years ago

The sum of a number and twenty-six, divided by twelve is equal to seven! <br><br> Please!!

Travka [436]

Answer:

58

Step-by-step explanation:

1. let x be the unknown number

2. make an expression

x + 26/12 = 7/1

3. cross multiply

x +26 × 1 = x + 26

12 × 7 = 84

x + 26 = 84

4. move variables on one side and numbers on other side of the equal sign

x + 26 = 84

- 26 -26

x = 58

4 0

2 years ago

Korey is planning to open a comic book store. He has developed the following expense breakdown for set-up and operation for the

pentagon [3]

The total amount of cash money that Korey have is the summation of his savings and his inheritance which is equal to Korey cash = $8500 + $25,000.
To identify the amount needed to be funded by loans or investors, we need to know first the total of expenses plus set-up plus operation expenses and other expenses to operate the bookstore subtracted by his savings.

Thus, let "AL" be the amount needed through loans while letting "TE" for total expenses.

AL=TE-($8500+$25000)
AL=TE-$33,500

This is the equation needed to determine the amount needed.

8 0

3 years ago

Read 2 more answers

What is the numerator in the fraction 64/72

Elodia [21]

The correct answer is 64

4 0

2 years ago

Read 2 more answers