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3 years ago

Solve for x ax - k = 3(x + h)

Mathematics

1 answer:

inysia [295]3 years ago

8 0

Answer:

x=3h+k/a-3

Step-by-step explanation:

Attached is the solution. I hope this helps you!!

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What is the value of the expression when a = 5 and b = 2? 2a+b−3 A.6 B.9 C.11 D.24

Studentka2010 [4]

2a + b - 3

2(5) + 2 - 3

10 + 2 - 3

12 - 3 = 9

Answer - 9

Hope this Helps!!

6 0

3 years ago

Read 2 more answers

An account earns simple interest. (a) Find the interest earned. (b) Find the

Debora [2.8K]

Answer:

#a. $80

#b. $1680

Step-by-step explanation:

We are given;

Amount invested (principal) is $1600
Rate of interest is 5%
Time = 1 year

We are required to determine the amount of simple interest earned and the amount or balance in the account after 1 year.

#a. Interest earned

To calculate simple interest we use the formula;

I = (PRT) ÷ 100

Where, P is the principal, R is the rate, T is the time and I is the simple interest.

Therefore;

I = (1600 × 5 × 1) ÷ 100

= $80

Therefore, simple interest earned is $80

#b. Balance of the account (Amount accrued)

We are going to use the formula;

A = P + I , where A is the amount accrued, P is the principal and I is the simple interest earned.

Therefore;

Account balance = $1600 + $80

= $1680

Thus, the account balance after 1 year will be $1680

8 0

3 years ago

Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

Given:

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

Solve for $x$ in the 1st equation:

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

Substitute the value of $x$ into the 2nd equation and solve for $z$ :

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

Substitute the value of $z$ into the 3rd equation and solve for $y$ :

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

Plug $y=3$ into the solved expression for $z$ and evaluate to solve for $z$ :

$z=16-7(3)$

$z=16-21$

$z=-5$

Plug $z=-5$ into the solved expression for $x$ and evaluate to solve for $x$ :

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

3 years ago

Calculate the area of the following figure. All measurements are in centimetres. Give answer to correct two decimal places.

kykrilka [37]

Answer:

Step-by-step explanation:

The shape above is a composite shape having two different shapes like rectangle and semi- circle

Area of rectangle=Length × Breadth

Area of semi circle=1/2πr^2

To find the area of the rectangle naw

Length of the rectangle=6.6

Width of the rectangle=4

A=6.6×4

A=26cm^2

Area of semi-circle=1/2

Diameter of the shape =4cm

Radius=2cm

A=1/2×3.14×2cm x2cm

A=6.28cm^2

Area of the shape=26+6.28cm^2

Area=32.28 to 2 dp

3 0

3 years ago

In the given diagram, find the values of x, y, and z.

anyanavicka [17]

Answer:

B) x=64, y=21, z=64

Step-by-step explanation:

X=180-116=64

Y cannot equal 115, and one angle is already 95, and that would put it over 180. The only remaining choice for y=21

z=180-95-21=64

5 0

3 years ago