John's bank account had $1,320 at the end of November. In December, he bought $645 worth of
groceries and spent $225 on his mom's birthday present. Luckily, he earned $350 mowing lawns and $50
for good grades. How much money does John have at the end of December?

Answer:

x = 2 and y = 1

Step-by-step explanation:

Given equations are :

2x-y=3 ...(1)

3x+y=7 ...(2)

Add equation (1) and (2) as follows :

2x-y + 3x+y = 3 + 7

2x + 3x = 10

5x = 10

x = 2

Put the value of x in equation (1)

2(2)-y=3

4-y = 3

y = 4-3

y = 1

Hence, the solution of the given equations are (2,1).

Answer:

A: $6

B: $2.01

C: $0

D: $4.50 or $7.50

E: 0 ≤ x ≥ 10

F: The more expensive you make the toy then that will mean that less people will want to buy it for its high price.

Step-by-step explanation:

{Data Expunged}

Answer:

m = 35, n = 110

Step-by-step explanation:

Opposite angles are congruent , then

2m = 70 ( divide both sides by 2 )

m = 35

Consecutive angles are supplementary, that is sum to 180° , so

70 + n = 180 ( subtract 70 from both sides )

n = 110

Answer:

£168

Step-by-step explanation:

Amount to be shared = 560

Roshana's share = x

Nima's share = 3x

Kate's share = 2 * 3x = 6x

X + 3x + 6x = 560

10x = 560

x = 560 / 10

x = 56

Nima's share = 3x

Nima's share = 3* 56 = £168

Answer:

y=9

Step-by-step explanation:

The rectangles are similar, so simply work with the ratios and divide to find the vaule of y.

60/4=15

36/4=9

Answer:

-1/7

Step-by-step explanation:

Answer:

3pi/11...

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.

.

...

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.

.

.

...

...

...

Answer:

135

Step-by-step explanation:

360/8=45

45x3=135

Answer:

I would think that 2x+3y+4 would be the answer.

Step-by-step explanation:

Answer:

I believe it is 8in

Step-by-step explanation:

someone correct me if I'm wrong

Answer:

40

Step-by-step explanation:

The volume of a cylinder is = to [tex]\pi[/tex][tex]r^{2}[/tex]h, so plug in the values and you get that each crayon has a volume of about 0.15 inches. 6/0.15 = 40. :)

Answer:

25% chance

Step-by-step explanation:

Answer:

300,000.

Step-by-step explanation:

6x10^-3 /  2x10^-8

= 3 x (10^(-3- (-8))

= 3 x 10^5

= 300,000

Answer:

D

Step-by-step explanation:

f(-1) = -5, so C is incorrect

f(0) = -1, so D is correct

Answer:

How much time do i have?

Step-by-step explanation:

Answer:

I think it's B.) 2x² - 2x + 2

Step-by-step explanation:

I'm not going to explain because you don't have much time.

Answer:

find is the Answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

another isosceles

SOH CAH TOA

Cos(x)=Adj/ Hyp

Hyp*Cos(x) = Adj

30* Cos(45) = Adj

30* [tex]\sqrt{2}/2[/tex] = Adj

15*[tex]\sqrt{2}[/tex] = Adj  ( both legs are the same )

Answer:

16/81

Step-by-step explanation:

Answer:

The answer is 4

cause cancel out the 9 and divide 8and 2

Answer:

Domain: Al real values

Range: All real numbers

Step-by-step explanation:

Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?

Given the functions'

f(x)=e^x and g(x)=x+6.

gof(x) = g(f(x))

g(f(x)) = g(e^x)

Substitute x with e^x in g(x) as shown:

g(f(x)) = e^x + 6

The domain s the input value of x for which the function exists. Accordinf to the expression, x exists on all real values. Since x exists on all real values, hence the output f(x) also exists on all real values

Answer:

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=3\sqrt{7}+6[/tex]

Step-by-step explanation:

Rationalizing the Denominator

Rationalizing the denominator means to get rid of any radicals in the denominator.

We use the conjugate of the denominator to rationalize. The conjugate of a binomial is obtained by changing the sign that is between the two terms while keeping the same order of the terms. For example, the conjugate of

[tex]\sqrt{7}-2[/tex] is [tex]\sqrt{7}+2[/tex].

We need to use the algebraic identity:

[tex](a-b)(a+b)=a^2-b^2[/tex]

Let's rationalize

[tex]\displaystyle \frac{9}{\sqrt{7}-2}[/tex]

Multiply numerator and denominator by the conjugate of the denominator:

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9}{\sqrt{7}-2}\cdot\frac{\sqrt{7}+2}{\sqrt{7}+2}[/tex]

Operate in the numerator and apply the identity in the denominator

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9(\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)}[/tex]

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9\sqrt{7}+18}{(\sqrt{7})^2-2^2}[/tex]

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9\sqrt{7}+18}{7-4}=\frac{9\sqrt{7}+18}{3}[/tex]

Dividing:

[tex]\boxed{\displaystyle \frac{9}{\sqrt{7}-2}=3\sqrt{7}+6}[/tex]

Answer:

a.) they have the same slope

b.) they have different y-intersepts

c.) in the slope-intercept formula y = mx + b, m is the slope and b is the y-intercept. since the two equations have the same slope but different y-intercepts we can infer they are parallel.

Answer:

"r"

Step-by-step explanation:

Answer:

R is in the middle of March and April :)

Step-by-step explanation:

Answer:

-2x + 1

Step-by-step explanation:

1: -3x^2 + 5x + 2 - 1 - 7x + 3x^2

2: (-3x^2 + 3x^2) + (5x - 7x) + (2 - 1)

3: 0 - 2x + 1

4: -2x + 1

Step 1: Given equation

Step 2: Group the terms with similar exponents together

Step 3: Add the terms together

Step 4: Simplify completely

Answer:

Step-by-step explanation:

3^-3*2^-3*6^3 = 1

last one=2

2nd one =1/2

Answer:

I cant see your question clearly

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

y = 6; z = 6

3y - z = 3(6) - 6 = 18 - 6 = 12

Answer:

12

Step-by-step explanation:

3y-z is asking 3 x 6 - 6, which equals 12

(3 x 6 = 18 and 18 - 6 = 12)

Answer:

See below.

Step-by-step explanation:

(a) 0.4 m < 0.6m

(b) 0°C > -4°C

(c) -2°C > -2.5°C

Answer:You have 4 quarters and 45 pennines  

Step-by-step explanation: