You are dealt one card from a standard 52 card deck find the probability of being dealt a king and a jack

Solve the simultaneous equations

Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

Step-by-step explanation:

Given equations are:

$3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2$

There are three methods to solve simultaneous equations

Elimination
Substitution
Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

$3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3$

Putting y = 3 in equation 2

$3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x = 6$

Hence,

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

7 0

2 years ago

decided to purchase a new Toyota 4Runner for $25,635. you have promised your daughter that the SUV will be hers when the car is

Stella [2.4K]

Answer:

y = -3000x + 25,635

Step-by-step explanation:

well if the inital value of the car is $25,635 this means that when

x = 0 y = 25,635

(0 , 25635)

this will be our first point

Now if you tell us that in 1 year depreciate in value $3,000

this means thaw when

x = 1 y = 25,635 - 3,000

x = 1 y = 22,635

(1, 22635)

Now that we have 2 points we can have the equation

First we take the slope as follows

m = (y2 - y1) / (x2 - x1)

m = (22,635 - 25,635) / (1 - 0)

m = -3000 / 1

m = -3000

after calculating the slope we have to replace it in the following formula

(y - y1) = m (x - x1)

y - 25,635 = -3000 ( x - 0)

y - 25,635 = -3000x

y = -3000x + 25,635

Finally we replace the value of y by 10000

10,000 = -3000x + 25,635

10,000 - 25,635 = -3000x

-15,635 = -3000x

-15,635/-3000 = x

5.21167 = x years

These are the years it would take for the value to be 10,000

to know the days we simply multiply by 365

5.21167 * 365 = 1902.26 days

4 0

2 years ago

Aaron is making a jewelry box of wood in the shape of a rectangular prism the jewelry box will have the dimensions shown in the

Natali [406]

Answer:

b. $342

Step-by-step explanation:

Base = Length * width

Base Area = 12 * 5

B = 180 square inches.

Perimeter of the prism will be :

P = 2 (length) + 2 (15)

P = 2 * 12 + 30

P = 54 inches

Height of the jewelry container will be :

X = Ph + 2B

X = 54 * 6 + 2 * 180

X = 684 square inches.

Total cost for paint of jewelry box is :

X * cost per inch

Total cost = 682 * $0.50

Total Cost = $342.

8 0

2 years ago

Pls pls pls help!!!

cluponka [151]

Answer:

Step-by-step explanation:

there are more money during the week 1 because having a -$8 balance is better than having a -$10 balance, -8 > -10

week 2 has a greater absolute value

| -10| = 10 and |-8| =8 and becasue 10> 8 then |-10| > |-8|

4 0

2 years ago

Add 620 grams to 3.7 kilograms.give your answer in kilogram

Alla [95]

3.7kg is also equal to 3700 grams
3700+620 grams
= 4320 grams
= 4320/1000 kg
= 4.32 kg

3 0

2 years ago

Read 2 more answers