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2 years ago

The time taken for a journey on a motorway varies inversely as

Mathematics

1 answer:

Westkost [7]2 years ago

3 0

Time that will be taken at speed of 45 miles/hr is 1.8 hrs

Step-by-step explanation:

Step 1: Given the speed of the journey = 54 miles/hr and time = 1.5 hours. Find the distance of the journey using the speed formula.

Distance = Speed × Time

= 54 × 1.5 = 81 miles

Step 2: Calculate the time taken for this journey given speed = 45 miles/hr

TIme = Distance/Speed

= 81/45 = 1.8 hrs

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Brainly use a matrix to find the solution to the system of equations -8x-8y=-16 6x-9y=-108

Mama L [17]

We want to use a matrix to solve
-8x - 8y = -16
6x - 9y = -108

Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2 (1)
Divide the second equation by 3 to obtain
2x - 3y = -36 (2)

In matrix form, the equations are
$\begin{bmatrix}1&1\\2&-3\end{bmatrix} \begin{\bmatrix} x\\y\end{bmatrix}=\begin{bmatrix}2 \\ -36 \end{bmatrix}$

The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5

Use Cramer's Rule.
$x = \frac{1}{D} det(\begin{bmatrix}2&1\\-36&-3 \end{bmatrix} ) = \frac{1}{-5} (-6+36) = -6$
Similalrly,
$y= \frac{1}{-5} det(\begin{bmatrix} 1&2\\2&-36\end{bmatrix} ) = \frac{1}{-5}(-36-4) =8$

Answer: (-6, 8) or x = -6, y = 8

8 0

3 years ago

Solve each inequality and graph its solution. Can you guys solve all three please. This is do soon so please help!

mart [117]

1-A 2-A 3-B

$- 104 \geqslant - 8b - 8$

put -8 near -104

$- 104 + 8 \geqslant - 8b$

$- 96 \geqslant - 8b$

b will be alone.

$\frac{ - 96}{ - 8} \geqslant \frac{ - 8b}{ - 8}$

$b \geqslant 12$

Answer A

$3m - 7 > - 4$

$3m > - 4 + 7$

$3m > 3$

$\frac{3m}{3} > \frac{3}{3}$

$m > 1$

Answer A

İf

$m \geqslant 1$

The answer would be D

But answer A

$- 4x + 4 > - 16$

$16 + 4 > + 4x$

$20 > 4x$

$\frac{20}{4} > \frac{4x}{4}$

$x < 5$

Answer B

We learnt this way in Turkey.

3 0

2 years ago

A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet . The width of the banne

Margarita [4]

Answer:

The answer to your question is width = 6 ft; length = 24 ft

Step-by-step explanation:

Data

Area = 144 ft²

width = w

length = l

The width is 1/4 of the length

Formula

Area = width x length = w x l

Length = 4 width l = 4w

Process

1.- Substitute length in the first equation

Area = w(4w)

Simplify

Area = 4w²

2.- Solve for w

w = $\sqrt{\frac{Area}{4}}$

Substitution

w = $\sqrt{\frac{144}{4}}$

Simplification

w = $\sqrt{36}$

Result

w = 6 ft

3.- Find l

l = 4(6)

l = 24 ft

8 0

3 years ago

jery mixes the lrters F.P.M.M.M.F.P. and J thoroughly. With ouy looking Amanda draws one leter . Expressed as a fraction,decimal

Tanzania [10]

Answer:

3.45

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Katherine and Shally had $288 altogether. Katherine gave 1/3 of her share to Shally and their father gave $68 to Shally. They no

erastova [34]

1/3 of $288 is $96 So, therefore Shally had $96 at first.
But They both didn't have the same amount of money after too because:
1/3 of $288 is $96
$96 + $68 = $164 So Shally has $164

Now, $288 - $96 = $192. So Katherine has $192

So therefore they did not have the same amount of money but 1/3 of $288 is $96

4 0

3 years ago