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2 years ago

A certain type of chocolate bar is sold as follows.

Mathematics

1 answer:

Scrat [10]2 years ago

5 0

Answer:

Step-by-step explanation:

You would never buy a 10-pack, because two 5-packs cost less.

To buy 3 bars you need a single bar and a pair of single bars for £0.82 + £0.82+ £0.41 = £2.05

To buy 30 bars you need 3 pairs of 5-bar packs = 3×£5.75 = £17.25

To buy the remaining 5 bars you need one 5-bar pack = £3

cost = £2.05 + £17.25 + £3 = £22.30

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Solving Quadratic Equations using the Square Root Property

Afina-wow [57]

Answer:

$x = -2$ or $x = -5$

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

$x^2 + 7x + 10 = 0$

Subtract 10 from both sides.

$x^2 + 7x = -10$

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

$x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = \dfrac{9}{4}$

Now we use the square root property, if

$x^2 = k$ , then

$x = \pm \sqrt{k}$

$x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}$

$x + \dfrac{7}{2} = \pm \dfrac{3}{2}$

$x + \dfrac{7}{2} = \dfrac{3}{2}$ or $x + \dfrac{7}{2} = -\dfrac{3}{2}$

$x = -\dfrac{4}{2}$ or $x = -\dfrac{10}{2}$

$x = -2$ or $x = -5$

5 0

3 years ago

A star in the sky appears to move by 12 arcseconds over the course of 6 months. Convert this number into first areminutes then d

Bumek [7]

Answer:

Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.

To Find :Convert this number into first arc minutes then degrees.

Solution:

60 arc seconds = 1 arc minute

1 arc seconds = $\frac{1}{60}$ arc minute

12 arc seconds = $\frac{1}{60} \times 12$ arc minute

12 arc seconds = $\frac{1}{5}$ arc minute

So, 12 arc seconds = $\frac{1}{5}$ arc minute

Now convert it into degrees

60 arc minute = 1 degree

1 arc minute = $\frac{1}{60}$ degree

$\frac{1}{5}$ arc minute = $\frac{1}{60} \times \frac{1}{5}$ degree

$\frac{1}{5}$ arc minute = $\frac{1}{300}$ degrees

12 arc seconds = $\frac{1}{300}$ degrees

8 0

3 years ago

Solve the given inequality and graph the solution on a number line.

raketka [301]

Answer:

sorry agnor me

Step-by-step explanation:

plz egnore my ideodik nis

4 0

3 years ago

Read 2 more answers

What is the answer to 6+9y-18=-3

lara [203]

6 + 9y - 18 = -3 Combine like terms (6 and -18)
9y - 12 = -3 Add 12 to both sides
9y = 9 Divide both sides by 9
y = 1

7 0

2 years ago

TO<br>A<br>TITY.<br>10. 5x + 2) > 13

grin007 [14]

5x - 2 = 13
5x = 13 + 2
5x = 15 (divide both sides by 5 to get x)
5x/5 = 15/5
x = 3

7 0

2 years ago