Evaluate b/a−1.2 when a=4 and b=12

Answer:

Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°

Answer: 4983

Step-by-step explanation:

Initial population P=5500

Population declining at the rate of 1.4%

So, in the year 2010 population is

[tex]P=5500-5500\times1.4\%=5500(1-1.4\%)[/tex]

For the year 2011

[tex]P=5500(1-1.4\%)^2[/tex]

similarly, for the year 2016

no of years passed 2016-2009=7 years

[tex]P=5500(1-1.4\%)^7[/tex]

[tex]P=5500\times0.986^7\\P=5500\times0.90602\\P=4983.117\approx 4983[/tex]

Answer:

819

Step-by-step explanation:

We solve the above question using simple interest

The formula for the total amount in a bank amount when it earn simple interest annually is:

A = P(1 + rt)

When

P = Initial amount in the account = 780

r = Simple Interest rate = 2.5% = 0.025

t = 2 years

A = 780(1 + 0.025 × 2)

A = 780(1 + 0.050)

A = 780(1 .050)

A = 819.00

The amount of money that will be in her account if she does not make any deposits or withdrawals in 2 years is 819.

Answer: C) Yes, Alternate Exterior Angles Converse

The two red angles are on the outside of the lines a and b, so they are considered exterior. They alternate on either side of the transversal line. So we consider those red angles to be alternate exterior angles. We'll use the alternate exterior angles converse to prove the lines parallel. That converse states: "If alternate exterior angles are congruent, then the lines are parallel".

The answer is 60000 because it is only to 1sf

Answer:

60,000

Step-by-step explanation:

Answer:

I think the first option is better.

Step-by-step explanation:

First : 5.75% of $5000 is 287.5. 287.5 * 24 = 6900

And 6.55 of $5000 is 325. 325 * 36 = 117000

If she takes the first option it would be better because it is nearer to what she can afford. It is also better because it helps her make more than 5000 in less time.

HOPE THIS HELPED.

IF IT DOESN'T PLEASE COMMENT.

Answer: x=11.4

Step-by-step explanation:  3(x+2)=40.2

(3)(x)+(3)(2)=40.2

3x+6=40.2

3x+6−6=40.2−6

3x=34.2

3x /3 = 34.2 /3

x=11.4

Answer:

6p + 4d = 36

Step-by-step explanation:

If p = number of pins and d = number of major decisions, then the equation is 6p + 4d = 36.

Hope this helps!

Answer:

A.

Step-by-step explanation:

You need to solve for p on both inequalities.

4 ≤ p - 8

12 ≤ p

p - 14 ≤ 2

p ≤ 16

This means that p is greater than or equal to 12 but less than or equal to 16.

12 ≤ p ≤ 16

Therefore, the answer is A.

Answer:

You bought 3 hardcover books and 4 paperback books.

Step-by-step explanation:

8×3+5×4=44

Answer:

x=-2

Step-by-step explanation:

Answer:

You do this by finding the area by each rectangle then the area of the quarter of the circle? (dont know what to call it) Then add it and round to the nearest tenth

Step-by-step explanation:

Answer:

Answer:

An=8+(n-1)(-6)

=8-6n+6

=14-6n

A50=14-6(50)

= -286

Answer: true

Step-by-step explanation:

Answer:

15 Percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

Blue- x+10y-10z

Answer:

The solution to the inequality is:

[tex]-1\le \:x\le \:3[/tex]

The line graph of the solution is also attached.

Step-by-step explanation:

Given the expression

[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]

solving the expression

[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]

[tex]4x-1\le \:5x\quad \mathrm{and}\quad \:5x\le \:3\left(x+2\right)[/tex]

solving

[tex]4x-1\le \:5x[/tex]

Add 1 to both sides

[tex]4x-1+1\le \:5x+1[/tex]

Simplify

[tex]4x\le \:5x+1[/tex]

Subtract 5x from both sides

[tex]4x-5x\le \:5x+1-5x[/tex]

simplify

[tex]-x\le \:1[/tex]

Multiply both sides by -1 (reverse inequality)

[tex]\left(-x\right)\left(-1\right)\ge \:1\cdot \left(-1\right)[/tex]

Simplify

[tex]x\ge \:-1[/tex]

Similarly solving

[tex]5x\le \:3\left(x+2\right)[/tex]

Subtract 3x from both sides

[tex]5x-3x\le \:3x+6-3x[/tex]

Simplify

[tex]2x\le \:6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}\le \frac{6}{2}[/tex]

Simplify

[tex]x\le \:3[/tex]

So combine the interval

[tex]x\ge \:-1\quad \mathrm{and}\quad \:x\le \:3[/tex]

Merge overlapping intervals

[tex]-1\le \:x\le \:3[/tex]

Therefore, the solution to the inequality is:

[tex]-1\le \:x\le \:3[/tex]

The line graph of the solution is also attached.

Answer:

It should be true, because without an output or input it would be an alien device that doesn't need any energy to work, making it true, also i dont really know if its true

Answer: -8n + 24

Step-by-step explanation:

-4(2n-6)

-8n + 24

Answer:-8n+24

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:19/30

Step-by-step explanation:

1. multiply and divide(left to right)-1/6

=-1/6+4/5

2.multiply and divide(left to right)4/5

=-1/6+4/5

3. add and subtract(left to right)-1/6+4/5=19/30

=19/30

Answer:

D

Step-by-step explanation:

-2 --> 2 = +4

5 --> - 3 = -8

<4, -8>

The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]

The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.

The radius of a circle is 5.

Also, the center of a circle is (h,k) = (6,-2)

So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]

Simplify further the above equation.

[tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Hence, option (D) is correct.

Learn more about the equation of a circle here-

https://brainly.com/question/10618691

#SPJ2

Answer:

I would say the answer is c p=6n+18 because im thinking you are dealing with input-output

Step-by-step explanation:

Answer:

1/125

Step-by-step explanation:

(1/5)³ = 1/125

1³ = 1

5³ = 125

Answer:

Step-by-step explanation:

this looks like  1/5 * 1/5 * 1/5

multiply the tops ( numerators) and the bottoms (denominators)

tops are 1

bottoms are 125

1/125  

:)

Answer: Q1.=145, Q2.=20

Step-by-step explanation:

two supplementary angles equal 180

1. 180-35=145

2 . complementary angles , both add up to 90

90-70=20