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3 years ago

Change 13/20 to a decimal

Mathematics

2 answers:

Furkat [3]3 years ago

8 0

Answer:

$\large\boxed{\dfrac{13}{20}=0.65}$

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\\dfrac{13}{20}=\dfrac{13\cdot5}{20\cdot5}=\dfrac{65}{100}=0.65\\\\\bold{METHOD\ 2}\\\\\dfrac{13}{20}=13:20\qquad\text{use the calculator or long division}\\\\=0.65$

Greeley [361]3 years ago

3 0

Hello There!

$\frac{13}{20}=0.65$

13÷20≈0.65

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Given g(x) = −3x + 4

Goshia [24]

Answer:

The average rate of change of g from x = a to x = a + h is -3.

Step-by-step explanation:

We are given the function:

$g(x) = -3x + 4$

And we want to determine its average rate of change of the function for x = a and x = a + h.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

$\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}$

Simplify:

$\displaystyle \begin{aligned} \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}$

In conclusion, the average rate of change of g from x = a to x = a + h is -3.

This is the expected result, as function g is linear, so its rate of change would be constant.

3 0

3 years ago

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are

tankabanditka [31]

The coordinates of point B' are (-3, 6).

<h2>Given that</h2>

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

<h3>We have to determine</h3>

What are the coordinates of B' after the translation?

<h3>According to the question</h3>

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

To find the coordinates of B', we will shift the x-coordinate of point B to left by 3 units and the y-coordinate of point B to 1 unit up.

After the given transformation the coordinates of point B' would be:

$\rm B(0, \ 5) = B (0-3, \ 5+1) = B(-3, \ 6)$

Therefore, the coordinates of point B' are (-3, 6).

To know more about Transformation click the link given below.

brainly.com/question/26297555

6 0

3 years ago

How do you do this question?

DENIUS [597]

Answer:

z = -ln│5eᵗ + C│

Step-by-step explanation:

dz/dt + 5eᵗ⁺ᶻ = 0

dz/dt = -5eᵗ⁺ᶻ

dz/dt = -5eᵗeᶻ

-e⁻ᶻ dz = 5eᵗ dt

e⁻ᶻ = 5eᵗ + C

-z = ln│5eᵗ + C│

z = -ln│5eᵗ + C│

7 0

3 years ago

Ally and Beck went fishing and caught a total of 75 fish. At home,

tigry1 [53]

Answer:

Beck actually caught 45 fish

Step-by-step explanation:

System of Equations

We call the following variables:

x = number of fish Ally caught

y = number of fish Beck caught

They caught a total of 75 fish, thus:

x + y = 75 [1]

If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:

3y = 2x + 75 [2]

From [1]:

x = 75 - y [3]

Substituting in [2]:

3y = 2(75 - y) + 75

Operating:

3y = 150 - 2y + 75

Simplifying:

5y = 225

Dividing by 5:

y = 45

Beck actually caught 45 fish

3 0

3 years ago

Read 2 more answers

Evaluate x ➗ y, if x = 29.665 and y = 6.98

Oduvanchick [21]

Answer:

4.25

Step-by-step explanation:

4 0

3 years ago