Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?

Step-by-step explanation:

Let x = m² and y = 4n.

Then m⁶ - 64n³ = x³ - y³

= (x - y)(x² + xy + y²)

= (m² - 4n)(m⁴ + 4m²n + 16n²).

9514 1404 393

Answer:

  1. yes

  2. no

Step-by-step explanation:

We can label the equations [1] and [2] to make the transformations to the equivalent system easier to describe.

1. The equivalent system is [1] +[2] and 2×[1]. Both of these are described as allowed transformations.

  [1] +[2] is (-x +2y) +(-3x +9y) = (10) +(-15)  ⇒  -4x +11y = -5

  2×[1] is 2(-x +2y) = 2(10)  ⇒  -2x +4y = 20

These resulting equations match the ones proposed for the equivalent system.

  yes, the systems are equivalent

__

2. The first equation of the proposed "equivalent" system is [1] +[2]. The second equation has no relation to the equations of the given system.

  [1] +[2] = (-2x +3y) +(-11x -13y) = (14) +(-6)  ⇒  -13x -10y = 8

  no, the systems are not equivalent

(This is also shown in the attached graph. The original system is in red; the "equivalent" system is in green. Equivalent systems have the same solution. These do not.)

Answer:

[tex]\mathbf{\beta=140\ dB}[/tex]

Step-by-step explanation:

The Logarithm Function

The sound level is usually calculated as a logarithm by the formula:

[tex]\displaystyle \beta=10\log\frac{I}{I_o}[/tex]

Where

I   = Sound intensity in W/square meter

Io = Smallest sound intensity that can be heard.

[tex]I_o=1\cdot 10^{-12}\ W/m^2[/tex]

The blue whale can emit a sound of I=106.8 W/square meter, thus the sound level is:

[tex]\displaystyle \beta=10\log\frac{106.8}{1\cdot 10^{-12}}[/tex]

[tex]\displaystyle \beta=10*14[/tex]

[tex]\mathbf{\beta=140\ dB}[/tex]

Answer:

we could migrate here

Step-by-step explanation:

Answer:

I feel like I answered this before

Step-by-step explanation:

Given:

[tex]\tan \theta > 0[/tex] and [tex]\sec \theta <0[/tex].

To find:

The quadrant.

Solution:

We know that,

In I quadrant, all trigonometric ratios are positive.

In II quadrant, only [tex]\sin \theta, \text{cosec}\theta[/tex] are positive and others are negative.

In III quadrant, only [tex]\cot \theta, \tan\theta[/tex] are positive and others are negative.

In IV quadrant, only [tex]\cos \theta, \sec\theta[/tex] are positive and others are negative.

We have,

[tex]\tan \theta > 0[/tex] and [tex]\sec \theta <0[/tex].

Here, [tex]\tan \theta[/tex] is positive and [tex]\sec \theta[/tex] is negative. So, [tex]\theta [/tex] lies in the III quadrant.

Therefore, the correct option is C, i.e., III.

Answer:

40

Step-by-step explanation:

3 x 8 = 24

5 x 8 = 40

Answer:

Step-by-step explanation:

to find out you will

250*56/100=140 this is the discount

250-140=110 you will pay for membership

Answer: 110 %

Step-by-step explanation:

Answer:

Hope this helps!

Step-by-step explanation:

2L + 3S = 83

4L + 8S = 197

Multiplies the top equation by -2.

-4L + -6S = -166

4l  + 8S = 197

Adding them together...

2S = 31

S = 31/2 = 15.5

Plugging into the first equation:

 2L + 3S = 83

 2L + 3(15.5) = 83

2L + 46.5 = 83

2L = 83 - 46.5

2L = 36.5

L = 36.5/2 = 18.25

check:

2L + 3S = 2(18.25) + 3(15.5) = 36.5 + 46.5 = 83

4L + 8S = 4(18.25) + 8(15.5) = 73 + 124 = 197

The Large box weighs 18.25

The small box weighs 15.5

Step-by-step explanation:

Remember the Difference of Squares:

a² - b² = (a + b)(a - b)

Therefore (√20 - √3)(√20 + √3)

= (√20)² - (√3)² = 20 - 3 = 17. (C)

Answer:

I have one below (It's kind of simple though..)

Step-by-step explanation:

Harry Had 5 Potions he made in Potions Class. He would like to share the 5 potions with his 2 friends, Ron and Hermione. How many potions do they each get? Write the equation for how many each person gets in fractional form

(This is a simple one I don't have a complicated one..)

Answer:

-8c -12 =0

-8c = 12

c = - 12/8 = -3/2

Step-by-step explanation:

f(x) = x² - 3x + 2 = (x - 2)(x - 1).

When f(x) = 0, (x - 2)(x - 1) = 0.

=> x = 2 or x = 1.

Answer:

The answer is 19.25

Step-by-step explanation:

Key skills needed: Fraction operations, decimal conversion

1) We are given the hint to use 9 as "b", and we get:

---> [tex]a = \frac{16}{8}(9) + \frac{10}{8}[/tex]  

Let's do  [tex]\frac{16}{8}(9)[/tex]

--> [tex]\frac{16}{8}[/tex] is the same as [tex]16[/tex] ÷ [tex]8[/tex]

16 divide by 8 is 2.

2) This means that it would be  ---> [tex]2(9)[/tex]  which is simply 2 times 9.

2 times 9 = 9 + 9 = 18

3) With that result, it would be  ---> [tex]a = 18 + \frac{10}{8}[/tex]

Now, do [tex]\frac{10}{8}[/tex] (10 divided by 8)  ---> Get 1.25

4) 18 + 1.25 = 19.25, so --> [tex]a = 19.25[/tex] is the answer

Hope you understood and have a nice day!!   :D

Answer:

your answer would be 6

Step-by-step explanation:

(3)4-6

12-6

6

Answer:

I think it would be 18

Step-by-step explanation:

3 x 4 =12

12 + 12= 24

24 -6=18

Answer:

2

Step-by-step explanation:

because 8 and 4 to get the shape smaller you divide it by 2 so you times 1 *2 to get the bigger one

Answer:

3) B

4) D

5) C

Step-by-step explanation:

3) Slope is before X

4) Set equal to Y

5) Use rise over run to find slope then find y intercept

Answer: B) −8x − 9

Step-by-step explanation:

5 − 2 (4x + 7)

Apply the distributive property.

5 − 2 (4x) − 2 ⋅ 7

Multiply 4 by −2.

5 − 8x − 2 ⋅ 7

Multiply −2 by 7.

5 − 8x − 14

Subtract 14 from 5.

−8x − 9

hope this helps :)

Answer:

b

Step-by-step explanation:

5-2(4x+7)

distribute

-8x-14

5-8x-14

5-14=-9

-8x-9

Answer:

35 miles per hour.

Step-by-step explanation:

140÷4=35

!75÷5=35

210÷6=35

Answer:

❌23 miles per hour

✅35 miles per hour

❌42 miles per hour

❌53 miles per hour

Go follow me on T I k T o k  aiyana_parker

Answer:

Th answer is x = (c - ab) / a

Step-by-step explanation:

The steps are :

a(x + b) = c

ax + ab = c

ax = c - ab

x = (c - ab) / a

Answer:

x=(c-ab)/a

this s answer

Answer:

the desired solution is (2, 2)

Step-by-step explanation:

Solve this using elimination by add'n/subtr'n.

Multiply the first equation by 2, obtaining the equivalent set of equations:

2x - 2y = 0

3x + 3y = 10

Combining like terms, we get 5x = 10, and thus x must be 2.

Subbing 2 for x in the first equation yields 2 - y = 0, or y = 2.

Then the desired solution is (2, 2).

Answer:

17x-7y

Step-by-step explanation:

Im assuming you need to simplify it.

combine 13x and 4x

17x-7y

Answer:

POG

Step-by-step explanation:

Answer:

Step-by-step explanation:

Nsjsjsjsms

Answer:

d. $13.35

Step-by-step explanation:

subtract

i am so sorry if this is wrong! hope this helps:)

Answer:

[tex]AB=2\sqrt{ab}[/tex]

Step-by-step explanation:

From figure,

[tex]OA=a, \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)[/tex]

In triangle [tex]OO'D[/tex]

  [tex](OO')^2=(OD)^2+(O' D)^2[/tex]

[tex]\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}][/tex]

Hence, [tex]AB=2\sqrt{ab}[/tex]