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3 years ago

Apply the distributive property to create an equivalent expression. -9 ⋅ (5j +k)

Mathematics

1 answer:

MArishka [77]3 years ago

5 0

Answer:

-45j-9k

Step-by-step explanation:

The distributive property is just multiply everything on the inside by whatever is on the outside. So in this case just multiply everything by -9. Hope this helps!

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SIS HELP!! How many pennies are on the nth square?

anyanavicka [17]

Answer:

B. , just did the assignment

4 0

4 years ago

Read 2 more answers

How do i isolate y in 4x - 2y = 22

Irina18 [472]

4x - 2y = 22

Start by adding 2y to both sides to cancel out the -2y

4x = 22 + 2y

Now you can divide by 4

x = 22/4 + 2y/4

Reduce all the fractions to get your answer, which is

$x = \frac{11}{2} + \frac{y}{2}$

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4 years ago

The polygons are similar. Find the value of x and y.

harina [27]

Answer:

x = 9, y = 27

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

$\frac{x-1}{6}$ = $\frac{16}{12}$ ( cross- multiply )

12(x - 1) = 96 ( divide both sides by 12 )

x - 1 = 8 ( add 1 to both sides )

x = 9

Also

$\frac{y+1}{21}$ = $\frac{16}{12}$ ( cross- multiply )

12(y + 1) = 336 ( divide both sides by 12 )

y + 1 = 28 ( subtract 1 from both sides )

y = 27

3 0

3 years ago

A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at nigh

Ilia_Sergeevich [38]

$2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

<h3><u>Solution:</u></h3>

Given that, conservative estimate of the number of stars in the universe is $6 \times 10^{22}$

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

$\text{Stars in universe} = x \times \text{ number of stars human can see}$

<em><u>Substituting given values we get,</u></em>

$6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}$

Thus $2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

5 0

4 years ago

Solve the system of equations. y= x + 17, y= 3x+1

Lemur [1.5K]

Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

7 0

3 years ago