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3 years ago

Estimate and then solve the equation. X - 17 4/5=-13 1/5

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

7 0

Answer: 5 (estimate)

Step-by-step explanation:

x - 17 4/5 = -13 1/5

Estimate: x - 18 = -13

x - 18 + 18 = -13 + 18

x = 5

actual answer without estimating using exact numbers is 4 3/5 (so estimate is reasonable)

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2. Write two numbers that are opposites and each more than 6 units away from 0.

Yuki888 [10]

Answer:

-7, 7

Step-by-step explanation:

Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it. (8, -8)

7 0

3 years ago

Is -0.25 or -0.05 larger?

rusak2 [61]

-0.05 is larger. Since they're negative, you're going by which is closer to 0 rather than farther. -0.05 is closer to 0 on a number line, so it's larger than -0.25.

8 0

3 years ago

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the volume of a solid triangular prism is 726 cubic centimeters. its height is 12 centimeters and its bases are congruent right

aivan3 [116]

9514 1404 393

Answer:

11 cm

Step-by-step explanation:

The volume of the prism is given by the formula ...

V = Bh

where B is the area of the triangular base, and h is the height.

Filling in the given information, we find the area of the triangular base to be ...

726 cm³ = B(12 cm)

B = 726 cm³/(12 cm) = 60.5 cm²

The area of an isosceles right triangle is half the area of a square with the same side lengths:

B = 1/2s²

60.5 = 1/2s²

s = √(2(60.5)) = √121 = 11

The length of each of the equal sides of the base is 11 cm.

4 0

3 years ago

These tables of values represent continuous functions. In which table do the values represent an exponential function?

vichka [17]

Answer:

The correct option is B.

Step-by-step explanation:

A function is called an exponential function if it has common ratio.

A function is called an linear function if it has common difference.

In option A.

$\frac{f(2)}{f(1)}=\frac{6}{3}=2$

$\frac{f(3)}{f(2)}=\frac{9}{6}=\frac{3}{2}$

$2\neq \frac{3}{2}$

Since the given table has different ratio, therefore it is not an exponential function. Option A is incorrect.

In option B.

$\frac{f(2)}{f(1)}=\frac{6}{2}=3$

$\frac{f(3)}{f(2)}=\frac{18}{6}=3$

$3=3$

Since the given table has common ratio, therefore it is an exponential function. Option B is correct.

In option C.

$\frac{f(2)}{f(1)}=\frac{22}{10}=\frac{11}{5}$

$\frac{f(3)}{f(2)}=\frac{34}{22}=\frac{17}{11}$

$\frac{11}{5}\neq \frac{17}{11}$

Since the given table has different ratio, therefore it is not an exponential function. Option C is incorrect.

In option D.

$\frac{f(2)}{f(1)}=\frac{8}{7}$

$\frac{f(3)}{f(2)}=\frac{9}{8}$

$\frac{8}{7}\neq \frac{9}{8}$

Since the given table has different ratio, therefore it is not an exponential function. Option D is incorrect.

3 0

3 years ago

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There are 3 white balls, 7 red balls, and 5 green balls in a container. A ball is chosen at random. What is the probability of c

Kisachek [45]

Answer:

(p green) 1/3

(p red) = 1/2

Step-by-step explanation:

Add the number of balls together to get the total.

3 + 7 + 5 = 15

Find the probability of choosing green.

(p green) = 5/15

reduce by 5

(p green) 1/3

Since you kept the green ball, there are now a total of 14 balls.

Find the probability of choosing red.

(p red) = 7/14

reduce by 7

(p red) = 1/2

7 0

2 years ago