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2 years ago

14

The number of pages that Rosa can write varies directly with the amount

1 answer:

Rudiy272 years ago

6 0

Answer:

84

Step-by-step explanation:

4 * 3 * 7 = 84

You might be interested in

To evaluate 43/2 find A) the square of 4 and then take the cube root. B) the cube of 4 and then take the square root. C) the squ

tatiyna

Answer:

B) the cube of 4 and then take the square root

Step-by-step explanation:

43/2 = 21.5

___

The answer choices suggest you want ...

4^(3/2) . . . . . . . appropriate math symbols are very helpful

This can be evaluated several ways:

$4^{\frac{3}{2}}=\sqrt{4^3}=(\sqrt{4})^3=10^{\frac{3}{2}\log{4}}\\\\=8$

_____

Since the 3 is in the numerator of the fraction, it represents a cube, not a cube root. Any of the answer choices suggesting cube root is involved are incorrect. (Eliminating those leaves only the correct answer choice.)

4 0

2 years ago

Write an exponential function to model the situation.A population of 300 animals decreased at an annual rate of 22%

erastovalidia [21]

Answer:

$y = 300(0.78)^x$

Step-by-step explanation:

x is the number of years. y is the population after x years.

Each year, the population decreases by 22%, since 100% - 22% = 78%, and 78% = 0.78, each year, the population is 0.78 of the previous year's population.

year zero: y = 300

year 1: y = 300 * 0.78 = 300 * (0.78)^1

year 2: y = (300 * 0.78) * 0.78 = 300 * (0.78)^2

year 3: y = ((300 * 0.78) * 0.78) * 0.78 = 300 * (0.78)^3

year x: y = 300(0.78)^x

4 0

2 years ago

Help!!!!Find the slope of the line on the graph.

artcher [175]

Answer:

$m=\frac{-1}{2}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (0, -4)

Point (-8, 0)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute: $m=\frac{0+4}{-8-0}$
Add/Subtract: $m=\frac{4}{-8}$
Simplify: $m=\frac{-1}{2}$

8 0

2 years ago

TU = 3, RS = 15, TW = 4, TR = 9; Assume that the sides of triangle TUW are proportional to the sides of triangle TRS. What is th

VMariaS [17]

Answer:

$WS=8\ units$

Step-by-step explanation:

we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal and the corresponding angles are also equal

In this problem

$\frac{TU}{TR}=\frac{UW}{RS}=\frac{TW}{TS}$

we have

$TU=3\ units, RS=15\ units, TW=4\ units,TR=9\ units$

Find the value of TS

$\frac{TU}{TR}=\frac{TW}{TS}$

substitute

$\frac{3}{9}=\frac{4}{TS}$

$TS=36/3=12\ units$

$WS=TS-TW$

$WS=12-4=8\ units$

see the attached figure to better understand the problem

3 0

2 years ago

Read 2 more answers

what number, when added to the numerator and to the denominator of $\frac{5}{8}$, results in a fraction whose value is 0.4?

luda_lava [24]

The required number is -3 which when added to the numerator and to the denominator of 5/8 results in a fraction whose value is 0.4.

<h3>What is a fraction?</h3>

Fraction is the ratio of a particular part to the whole parts of an object. A fraction has a numerator and a denominator.

<h3>Calculation:</h3>

The given fraction is 5/8

Consider a number as 'x' which is added to both the numerator and the denominator of the given fraction.

So,

(5 + x)/(8 + x)

Since it is given that the result is 0.4 i.e., 4/10, we can write

(5 + x)/(8 + x) = 4/10

⇒ 10(5 + x) = 4(8 + x)

⇒ 50 + 10x = 32 + 4x

⇒ 10x - 4x = 32 - 50

⇒ 6x = -18

⇒ x = -18/6

∴ x = -3

Therefore, the required number is -3.

Check:

(5 + (-3))/(8 + (-3)) = (5 - 3)/(8 - 3) = 2/5 = 0.4

Learn more about fractions here:

brainly.com/question/17220365

#SPJ4

3 0

10 months ago