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3 years ago

Increase £1.20 by a quarter(1/4)

Mathematics

2 answers:

boyakko [2]3 years ago

8 0

The answer is 1.50 because 1.20 divided by 4 equals .30 so add that to 1.20

ivolga24 [154]3 years ago

7 0

£1.20 + (1/4 * £1.20)

= £1.20 + £0.30

= £1.50

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Please help! I don’t know the answer

Maru [420]

a1 = 54

a2 = (1/3)a1 = (1/3) * 54 = 18

a3 = (1/3)a2 = (1/3) * (1/3)a1 = 18/3 = 6

etc.

$y = 54(\dfrac{1}{3})^{x - 1}$

7 0

3 years ago

The University of Texas at Austin has three times as many students enrolledas the University of Miami. The University of Califor

harina [27]

Answer:

University of Texas has 46,500 students, University of California has 34,000 students and University of Miami has 15,500 students.

Step-by-step explanation:

Represent Texas with T, Miami with M and California with C. With the given information, the following equations were obtained.

T = 3 × M

T – 3M = 0 ………………………….(i)

C = 3,000 + 2 × M

C – 2M = 3,000…………………..(ii)

T + C + M = 96,000…………….(iii)

By rearranging, we have:

1T + 0C – 3M = 0 ………………………….(i)

0T + 1C – 2M = 3,000…………………..(ii)

1T + 1C + 1M = 96,000………….…….(iii)

The Augmented Matrix is:

$\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]$ $\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]$

Making $\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ the subject of the formula we have:

$\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\frac{\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]}{\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]}$

Let’s say matrix A = $\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]$ , the inverse of matrix A = $\left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right]$ is determined by the formula $\frac{Adjoint(A)}{determinant(A)}$ . This can also be computed directly on a scientific calculator.

$\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right]$ $\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]$

= $\left[\begin{array}{ccc}46,500\\34,000\\15,500\end{array}\right]$

T = 46,500

C = 34,000

M = 15,500

6 0

4 years ago

Read 2 more answers

What is this question for math 2/12+1/3

Alexxandr [17]

Answer: 1/2

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD

(2/12*1/1) + (1/3+4/4)

Complete the multiplication and the equation becomes

2/12+4/12

The two fractions now have like denominators so you can add the numerators.

2+4/12 = 6/12

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor

6/12 ÷ 6/6 = 1/2

Therefore:

2/12 + 1/3 = 1/2

3 0

3 years ago

Read 2 more answers

Hello can you please help me posted picture of question

andrew-mc [135]

The correct option is (B): (3x+2)(3x+1)

Explanation:
Add all the boxes:
9x^2 (boxes)
9x (boxes)
The constants = 2

So it becomes:
9x^2 + 9x + 2
9x^2 + 6x + 3x + 2
3x(3x+2) + 1(3x+2)

(3x+2)(3x+1)

5 0

3 years ago

Bella and Vanessa each ate 3/4 of a pizza at the party what makes number shows the amount of pizzas they ate in total

astraxan [27]

Answer:

1 1/2 pizzas were eaten

Step-by-step explanation:

They each ate 3/4

3/4*2

or 3/4+3/4 =6/4

1 2/4

1 1/2 pizzas were eaten

8 0

3 years ago

Read 2 more answers