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3 years ago

A pair of trainers on sale for £54 after a 10% discount workout the original price

Mathematics

2 answers:

alekssr [168]3 years ago

7 0

Answer:

Step-by-step explanation:

andre [41]3 years ago

5 0

Price x 10/100 = 54
price = 54 ÷ 10/100 = £540

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A taxi service charges a $1.95 flat rate plus $0.55 per mile. Jason only has $12 to spend on a ride. Which graph best represents

Leno4ka [110]

Answer:

If 11.85 is an option then its it

Step-by-step explanation:

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3 years ago

A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

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3 years ago

An ice cream shop sells large cones for $2.50 and small cones for $1.50. Jack has enough money to buy 21 large cones. How many s

Strike441 [17]

Answer:

35 cones

Step-by-step explanation:

21 x $2.50

=52.5

52.5/$1.50

= 35 small cones he can buy

6 0

3 years ago

Read 2 more answers

Solve 5ax + 6 ax = 7ax+ 8 for x. Assume a # 0. O A. x = = B. x = 2a ( C. 2 = D. x = a n

lesya [120]

5ax+6ax=7ax+8

5ax+6ax-7ax=8

4ax=8

x= 8/4a

x=2a

7 0

3 years ago

Rays QR and QS are tangents to circle P at R and S. If Q measures to 54°, find RS

Ainat [17]

Answer: $126^{\circ}$

Step-by-step explanation:

If we draw RP and PS, then in the quadrilateral formed, we know that $\angle PRQ=\angle PSQ=90^{\circ}$ , and since angles in a quadrilateral add to 360 degrees, this means $\angle SPR=126^{\circ}$ .

Thus, arc RS also measures 126 degrees

8 0

2 years ago