10. If the Federal Reserve sells $50,000 in Treasury bonds to a bank at 8%

Which expressions are equivalent to 8 (negative 10 x + 3.5 y minus 7)? Select two options.

Elza [17]

Question is Incomplete; Complete question is given below.

Which expressions are equivalent to 8 (negative 10 x + 3.5 y minus 7)? Select two options. Negative 80 x + 24.5 y minus 56 Negative 80 x + 28 y minus 56 80 x + 28 y + 56 4 (negative 20 x + 7 y minus 14) Negative 4 (negative 20 x + 7 y minus 14)

Answer:

Negative 80 x + 28 y minus 56

4 (negative 20 x + 7 y minus 14)

Step-by-step explanation:

Given:

$8(-10x+3.5y-7)$

We need to find the equivalent expression for given expression.

Solution:

$8(-10x+3.5y-7)$

First we will apply distributive property for given expression.

$a(x+y) =ax+ay$

So we get;

$8\times-10x+8\times3.5y-8\times7\\\\-80x+28y-56$

Hence first expression equivalent to given expression is $-80x+28y-56$ .

Now again evaluating the expression we get;

We will take 4 as common factor from the expression we get;

$-4\times20x+4\times7y-4\times14\\\\4(-20x+7y-14)$

Hence second expression equivalent to given expression is $4(-20x+7y-14)$ .

3 0

3 years ago

Read 2 more answers

4. Some scrabble letters are laid out that spell RECORDER. If they are all turned over and scrambled,

Ivanshal [37]

Answer: The answers are (a)1/8th (b) 0.125 (c) 12.5%

Step-by-step explanation:

How I drew this conclusion is, you have 8 letters in RECORDER so its 8/64 the same spot for every letter which simplifies to 1/8th. Now for the decimal divide 8 into 64 to get 0.125 decimal form. Lastly, for the percent 8 * 100 = 0.125 then 0.125 * 100 gets you 12.5%. Hope this helps you understand good luck.

8 0

3 years ago

A circle has a circumfernce of 13 it has a arc length of 11. What is the central angle of the arc in degrees

tatiyna

Answer: 304.6°

Step-by-step explanation:

First of all, using the circumference of the circle formula to find the radius of the circle.

Circumference of the circle = 13, ie

2πr = 13,

r = 13/2π ---------------------------- 1

Now getting the radius of the circle now, you now substitute for this in the formula for finding the length of an arc to get the central angle.

Arc length = 11 , ( 2πr0°/360) or (πr0°/180), so

πr0°/180 = 11 ------------------------ 2

Now solve for 0°, the central angle of the angle by making it the subject of the formula.

πr0° = 180 x 11

0° = 180 x 11

----------- ----------------- 3

πr

Now, put equation 1 in equation 3 and solve.

0° = 1980

--------

π x 13/2π

= 1980 x 2π

-----------

π.x. 13

= 1980 x 2

----------

13

= 3960/13

= 304.6°

Therefore, the central angle of the arc is 304.6°

Please be meticulous and understand the way I change the r in the denominator. It was the rule in fraction when dividing.

5 0

3 years ago

If the null space of A4×5 is exactly a two-dimensional plane, answer the following:

Hatshy [7]

Answer:

I.

A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4

Null space is exactly two dimensional plane

dim null (A) = 2

II.

Rank A = dim U - dim Null A = 5 - 2 = 3

III.

Number of linearly Independent columns of A is the rank of A = 3

IV.

Yes, The system Ax = b has no solution sometimes as range of A \neq V

V.

Yes,Sometimes Ax = b has a unique solution

VI.

Yes, sometimes Ax = b has infinitely many solutions

8 0

3 years ago

The cost of three tickets to a movie is at least $20. select an inequality that represents the cost x (in dollars) of each ticke

GREYUIT [131]

Answer:

Step-by-step explanation:

Como quito el ingles

7 0

3 years ago