Ashley drove 84 miles in 13 hours. At the same rate, how many miles would she drive in 8 hours?

Substitute each variable to determine whether the inequality statement is true or false 16>f if f=17

Nonamiya [84]

Answer: The statement is false.

Step-by-step explanation:

We have the statement:

(16 > f) if f = 17

In this case:

f = 17 is the hypothesis.

16 > f is the conclusion.

Then assuming that the hypothesis is true, we need to check if the conclusion is also true.

Then:

16 > f means "16 is larger than f"

Now let's assume that the hypothesis is true, then f = 17, and we can replace this in the inequality above, now we get:

16 > 17

This says "16 is larger than 17"

This is clearly false, then when the hypothesis is true, the conclusion is false.

This means that the statement:

" 16>f if f=17 "

is false.

3 0

3 years ago

24+×=49 how do I get the answer

Goryan [66]

Answer:

x = 25

Step-by-step explanation:

49 - 25 = 25

7 0

3 years ago

Read 2 more answers

If a > b > c > d, then which is larger, a+c or b+d ? Can we tell from a > b > c > d which of a+d and b+c is la

victus00 [196]

Answer:

1. a+c is larger than b+d

2. No way to tell whether a+d or b+c is larger.

Step-by-step explanation:

1. Which is larger, a+c or b+d?

Let a, b, c, and d be any numbers such that $a > b > c > d$ .

Specifically, note that $a > b$ , and subtracting b from both sides of the inequality, observe that $a-b > 0$ .

Similarly, $c > d$ , and subtracting d from both sides of the inequality, observe that $c-d > 0$ .

From this, add "a-b" (a positive number, as proven above) to both sides of the inequality.

$(a-b)+(c-d) > (a-b)+0$

Addition by zero (the additive identity) doesn't change anything, so the right side remains "a-b"...

$(a-b)+(c-d) > a-b$

... and "a-b" is positive...

$(a-b)+(c-d) > a-b > 0$

... so, by the transitive property of inequality...

$(a-b)+(c-d) > 0$

Recall that subtraction is addition by a negative number...
$a+(-b)+c+(-d) > 0$

...and that addition is associative and commutative, so things can be added in any order, so the middle two terms on the left side can be rearranged...

$a+c+(-b)+(-d) > 0$

Adding b + d to both sides of the inequality

$(a+c+(-b)+(-d))+(b+d) > 0+(b+d)$

... and simplifying

$a+c > b+d$

So, a+c is larger than b+d.

2. Which is larger, a+d or b+c?

Consider the following two examples:

Example 1

Suppose a=10; b=3; c=2; d=1.

Note that $a > b > c > d$ ( $10 > 3 > 2 > 1$ ) and, also observe that $a+d=(10)+(1)=11$ , and $b+c=(3)+(2)=5$ , so a+d is larger than b+c.

Example 2

However, suppose a=10; b=9; c=8; d=1.

Note that $a > b > c > d$ ( $10 > 9 > 8 > 1$ ) but that $a+d=(10)+(1)=11$ , and $b+c=(9)+(8)=17$ , so a+d is smaller than b+c.

So, in one example, a+d is bigger, and in the other, a+d is smaller. Therefore, there is no way to tell which of a+d or b+c is larger from only the given information.

5 0

2 years ago

Whats everything i need to know to prove congruent triangles

RSB [31]

Answer:

It is a

IStep-by-step explanation:

First off you have to have the quadrtic formula to the nine power then you multiply it by 5 then subtract two

4 0

2 years ago

How many 0.6 liter glasses can you fill up with a 4.5 liter pitcher

algol13

For this, we have to divide 4.5 by 0.6

$\frac{4.5}{0.6}$

let's first multiply both numbers by 10 (this removes the fraction:)

$\frac{45}{6}$

divide by 3:

$\frac{15}{2}$

and the result is 7.5

so the answer is 7 and a half glasses.

3 0

3 years ago