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3 years ago

Name the property the equation illustrates. (ab)3 = a(b3)

Mathematics

2 answers:

Tju [1.3M]3 years ago

6 0

The property that illustrates (ab)3 = a(b3) is
ASSOCIATIVE PROPERTY OF MULTIPLICATION

egoroff_w [7]3 years ago

4 0

The answer is the <span>Associative Property of Addition</span>

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Roberto debe leer un libro que contiene 340 páginas en 4 días por lo cual planea la siguiente distribución: el primer día 1/5 de

Finger [1]

Answer:

170 pages

Step-by-step explanation:

Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution

The number of pages he read for the first day :

The first day 1/5 of the pages of the book

This is calculated as:

1/5 × 340 pages

= 68 pages

For the second day:

The second 1/4 of what remains to be read

The number of pages remaining after the first day is calculated as:

340 - 68 = 272 pages

Hence, the number of pages read on the second day is

1/4 × 272 pages

= 68 pages

For the third day

One the third day, 1/6 of the rest was read.

The number of pages remaining after the first day is calculated as:

272 - 68 = 204 pages

Hence, the number of pages read on the third day is

1/6 × 204 pages

= 34 pages

Therefore, the number of pages Roberto has to read on the fourth day is calculated as:

340 pages - (68 + 68 + 34)pages

340 pages - 170 pages

= 170 pages

7 0

2 years ago

Which value for x would make the perimeter of this rectangle equal 48 inches

RSB [31]

Answer:

L = 16; W=8: are the correct values.

Step-by-step explanation:

Start off with 2 math statements:

First, for the perimeter: 2W x 2L = 48

Then, for the area: W x L = 128

Next, we want to take the 2nd equation; then solve it for "W"

W x L = 128

Divide out both sides by "L", to get the "W" equals:

W = 128/L

Next, go back to the first equation. Where it indicates "W", put in the value of: 128/L in its place; to get:

2L + 2*(128/L) = 48; which gives us:

2L + 256/L = 48

Multiply everything by "L", to get:

2L2 + 256 = 48L

Next, divide out everything by 2, to get:

L2 + 128 = 24L

Next, move the 24L over to the left, to get:

L2 - 24L + 128 = 0

(L-16)* (L-8) = 0

L-16 = 0; L-8 = 0

Which gives us: L=16; L=8

Let's go with the L=16 first; back into the original equation:

f(16) = 2*16 + 2W = 48

32 + 2W = 48

-=32 -32

2W = 16

Divide out both sides by 2, to get:

W = 8

Next, test our values, by plugging them back into both original equations:

2*16 + 2*8 = 48

32 + 16 = 48 [Check]

L x W = 128

16 * 8 = 128

128 = 128 [Check]

5 0

2 years ago

A package of cookies has 6 chocolate chip cookies with nuts and 12 chocolate chip cookies without nuts. Which of these represent

Mila [183]

Answer:

6:18

Step-by-step explanation:

Number of cookies with nuts = 6

number of total cookies = no. of cookies WITH nuts + no. of cookies WITHOUT nuts.

= 6 + 12 = 18

Ratio of

Number of cookies with nuts : number of total cookies

6 : 18

3 0

2 years ago

Read 2 more answers

Solve for x in the following problem Remember to align your variables.

choli [55]

Answer:

X=11

Step-by-step explanation:

X=11 because u Solve for the first variable in one of the equations, then substitute the result into the other equation.

4 0

2 years ago

Someone pls help, its on trig ratios.

Mars2501 [29]

Answer:

$BC=12.8,\\AC=15.1$

Step-by-step explanation:

In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.

Therefore, we have the following equation:

$\tan 58^{\circ}=\frac{BC}{8}$

Solving, we get:

$BC=8\tan 58^{\circ}\approx \boxed{12.8}$

Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.

$\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}$

We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.

Using the Pythagorean theorem to verify our answers:

$8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark$

6 0

2 years ago