Mathematics : asked on kadence428

08.06.2023

-3x+4y=7 y=3x-5 I NEED HELP PL Z HELP ME

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09.07.2023, solved by verified expert

Bibin (Bibi) P B

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[Substitute the given value of y into the first equation]

[Distribute 4 through the parentheses]

[Collect like terms]

[Move the constant to the right-hand side and change its sign]

[Add the numbers]

[Divide both sides of the equation by 9]

[Substitute the given value of x into the second equation]

[Multiply the numbers]

[Subtract the numbers]

[The possible solution of the system is the ordered pair (x,y)]

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Mathematics

-3x+4y=7 y=3x-5 I NEED HELP PL Z HELP ME

Step-by-step answer

P Answered by Specialist

$- 3x + 4y = 7 \\ y = 3x - 5$

[Substitute the given value of y into the first equation]

$- 3x + 4 \times (3x - 5) = 7$

[Distribute 4 through the parentheses]

- 3x + 12x - 20 = 7

[Collect like terms]

9x - 20 = 7

[Move the constant to the right-hand side and change its sign]

9x = 7 + 20

[Add the numbers]

9x = 27

[Divide both sides of the equation by 9]

x = 3

[Substitute the given value of x into the second equation]

$y = 3 \times 3 - 5$

[Multiply the numbers]

y = 9 - 5

[Subtract the numbers]

y = 4

[The possible solution of the system is the ordered pair (x,y)]

(x,y)=(3,4)

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?

Step-by-step answer

P Answered by PhD

The total nom of code that can be used is equal to 5+3 = 8

Mathematics

In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8

Step-by-step answer

P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics

If a salesperson makes 6% commission, how much would they make from a $1,800 sale?

Step-by-step answer

P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics

How much would the tip be if you left 18% on a 75.45 steak dinner?

Step-by-step answer

P Answered by PhD

tip=18% of 75.45

=18/100 * 75.45 = $13.581

Tip = $13.581

Mathematics

Determine the area of a rectangle with length of 12.4 cm and a width of 8.8 cm.

Step-by-step answer

P Answered by PhD

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics

10 years ago a father was ten times as old as his son. The father is 40 now. How old is the son now?

Step-by-step answer

P Answered by PhD

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

Mathematics

If a rectangular prism has a length, width ,and height of 3/8 centimeter,5/8 centimeter, and 7/8 centimeter, respectively, then the volume of the prism is ?

Step-by-step answer

P Answered by PhD

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

=105/512 cm3

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