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2 years ago

What is 1/4 (5y-3)+1/16 (12y+17

Mathematics

1 answer:

netineya [11]2 years ago

6 0

What is the question? If you are only trying to expand the expression then the answer would be:

1/4 (5y-3)+ 1/16 (12y+17)

(5y/4) – (3/4) + (12y/16) + (17/16)

1.25y – 0.75 + 0.75y + 1.0625

2y + 0.3125

If you are trying to find for y, then you forgot to equate it to 0, that is:

2y + 0.3125 = 0

2y = -0.3125

You might be interested in

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When car

Debora [2.8K]

Step-by-step explanation:

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 2187 pounds. When carrying 35 gallons of fuel, it weighs 2303 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?

----

You have two points relating fuel and weight.

(15,2187) and (35,2303)

------------

slope = (2303-2187)/(35-15) = 5.8

----

intercept = ?

2187 = 5.8*15 + b

b = 2100

-------

Equation:

f(x) = 5.8x + 2100

---

f(50) = 2390 lbs.

====================

6 0

2 years ago

The price of a toy usually costing £50 is increased to £65. Work out the percentage increase.

pentagon [3]

Answer:

115%

Step-by-step explanation:

115% percent increase in usual value, I may guess see other answrrs too

3 0

3 years ago

Read 2 more answers

a student took a test that had 60 questions.if he got 45 right,what percentage of the question did he get right?

Sergeeva-Olga [200]

Answer:

25 %

is your answer

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5 0

2 years ago

Suppose matrix product AB is defined. (a) If A is 4 x 7 and B is a column matrix, give the dimensions of B and AB. [4 marks] (b)

Lesechka [4]

Answer:

(a) Order of matrix B is 7 × 1 and order of matrix AB is 4 × 1.

(b) Order of matrix A is 5 × 5.

Step-by-step explanation:

The product of two matrices is possible if and only if column of first matrix is equal to row of second matrix.

If A is an n × m matrix and B is an m × o matrix, their matrix product AB is an n × p matrix,

(a)

It is given that order of matrix A is 4 x 7.

B is a column matrix. It means the number of column in matrix B is 1.

Let the order of matrix B = n × 1

Product of matrices A and B is possible if and only if column of matrix A is equal to row of matrix B.

$n=7$

Order of matrix B is 7 × 1

$A_{4\times 7}B_{7\times 1}=AB_{4\times 1}$

Order of matrix AB is 4 × 1.

(b)

Order of matrix B = 5 × 5

It is given that A is the identity matrix.

Identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else.

So, order of matrix A is equal to order of matrix B.

Order of matrix A = 5 × 5

Therefore order of matrix A is 5 × 5.

(c)

Order of matrix A = 4 × 5

Order of matrix AB = 4 × 7

Let Order of matrix B = n × m

$A_{4\times 5}B_{n\times m}=AB_{4\times 7}$

Product of A and B are possible if and only if n=5.

$A_{4\times 5}B_{5\times m}=AB_{4\times 7}$

$AB_{4\times m}=AB_{4\times 7}$

On comparing both sides, we get

$m=7$

Therefore the order of matrix B is 5 × 7.

6 0

3 years ago

-6, -12 after a dilation by a scale factor of 1/3

joja [24]

Answer:

(- 2, - 4 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then

multiply each of the coordinates by $\frac{1}{3}$ , thus

(- 6, - 12 ) → ( $\frac{1}{3}$ × - 6 , $\frac{1}{3}$ × - 12 ) → (- 2, - 4 )

3 0

2 years ago