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4 years ago

Mp.6 Be Precise Ernesto measured the width of each of the three coins shown below.

Mathematics

1 answer:

Verdich [7]4 years ago

5 0

Answer:

0.14 inch

Step-by-step explanation:

We are given three coins with width 0.7, 0.84 and 0.74 inches.

Now, as 0.84 > 0.7 and 0.84 > 0.74.

Thus, the coin with the largest width is the coin of width 0.84 inch.

Also, as 0.7 < 0.74 and 0.7 < 0.84.

So, the coin with the smallest width is the coin of width 0.7 inch.

Therefore, the difference in the largest and smallest width of the coins is 0.84 - 0.7 inch i.e. 0.14 inch.

Hence, the difference in width is 0.14 inch.

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A quantity b varies jointly with c and d and inversely with eWhen b is 18, c is 4, d is 9, and e is 6What is the constant of var

777dan777 [17]

Answer:

constant of variation = 3

Step-by-step explanation:

we know that b varies jointly with c and d

so:

b∝c∝d

and b varies inversely with e, so

b∝ $\frac{1}{e}$

and i will call the constant of variation k, this way we can make an equation for b in the following form:

$b=k\frac{cd}{e}$

this satisfy that b varies jointly with c and d (if b increases, c and d also increase) and inversely with e (if b increases, e decreases)

we know that when b is 18, c is 4, d is 9, and e is 6:

$b=18\\c=4\\d=9\\e=6$

substituting this in our equation for b:

$b=k\frac{cd}{e}\\ 18=k\frac{(4)(9)}{6}$

and we solve operations and clear for the constant of variation k:

$18=k\frac{36}{6}\\ 18=6k\\\frac{18}{6}=k\\ 3=k$

the constant of variation is 3.

4 0

3 years ago

Read 2 more answers

at the souvenir shop each stuffed elephant was on sale for $5 off Matrix bought three of them for $45 how much did each stuffed

kondor19780726 [428]

Hello there!
So the equation I would use for this word problem is 3(s+5)=45.
3s+15=45
-15 -15
__________
3s=30
Divide 3 from both sides.
s ends up equaling 1.
Each stuffed animal elephant cost $10

4 0

3 years ago

Read 2 more answers

12/35 = 36/X find x step by step

Zigmanuir [339]

Answer:

x = 105°

Step-by-step explanation:

Question :

$\frac{12}{35} =\frac{36}{x}$

You can use cross multiplication to solve this.

Let us solve now

$\frac{12}{35} =\frac{36}{x}$

12 × x = 35 × 36

12x = 1260

Divide both sides by 12.

x = 105°

Hope this helps you :-)

8 0

2 years ago

Read 2 more answers

What’s 70.49 divided into 19

LUCKY_DIMON [66]

Answer:

3.71

Step-by-step explanation:

just divide 70.49 and 19

4 0

3 years ago

Read 2 more answers

expression to approximate log a of x for all positive numbers a, b, and x, where a is not equal to 1 and b is not equal to one

amid [387]

Question:

Approximate log base b of x, log_b(x).

Of course x can't be negative, and b > 1.

Answer:

f(x) = (-1/x + 1) / (-1/b + 1)

Step-by-step explanation:

log(1) is zero for any base.

log is strictly increasing.

log_b(b) = 1

As x descends to zero, log(x) diverges to -infinity

Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.

Find a such that f(b) = 1

1 = f(b) = (-1/b + 1)/a

a = (-1/b + 1)

Substitute for a:

f(x) = (-1/x + 1) / (-1/b + 1)

f(1) = 0

f(b) = (-1/b + 1) / (-1/b + 1) = 1

7 0

3 years ago