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Vesnalui [34]
4 years ago
8

George from the Manchester office, has a road atlas which has a scale of 1cm:10km. How far has he to travel to the Sheffield off

ice if distance on the map is 4.5cm?
= [ ] km
Mathematics
1 answer:
Usimov [2.4K]4 years ago
3 0
The answer is 45km because times 10 and 4.5 which gets 45
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The Number of yards varies directly as the number of feet (x). What equation can be used to convert x feet to y yards?
Cloud [144]
X\3=y


Hope it helps!!!!!!
4 0
3 years ago
Tuli is 10 years younger than Emily. The product of their
Naya [18.7K]

Answer:

a² - 14a - 15 = 0 (quadratic equation)

Emily's age = 15 years

Tuli's age = 15 - 10 = 5 years

Step-by-step explanation:

let

Emily age = a

Tuli age =  a - 10

Two years ago their ages will be as follows.

Emily's age = a - 2

Tuli's age = a - 10 - 2 = a - 12

The product of their ages 2 years ago is 39.

(a - 2)(a - 12) = 39

a² - 12a - 2a + 24 - 39 = 0

a² - 14a - 15 = 0 (quadratic equation)

To get a

a² + a - 15a - 15 = 0

a(a + 1) - 15(a + 1)

(a + 1)(a - 15)

a = -1 or 15

we can only use 15 as it is positive.

3 0
3 years ago
What are the solutions of the quadratic equation (x + 3)(x +3) = 49? Ax = -2 and x = -16 Bx = 2 and x = -10 Cx = 4 and x = -10 D
Ivahew [28]

Answer:

4 and -10

Step-by-step explanation:

\displaystyle (x + 3)(x +3) = 49 \\ x^2+3x+3x+9=49 \\ x^2 +6x+9=49 \\ x^2 + 6x + 9 - 49 = 0 \\x^2+6x-40=0 \\\\ \Delta=b^2-4ac \\ \Delta=6^2-4 \cdot 1 \cdot (-40) \\ \Delta=36+160 \\ \Delta=196 \\ \\ X_{1,2}=\frac{-b \pm \sqrt{\Delta} }{2a}  \\ \\ X_1=\frac{-b+\sqrt{\Delta} }{2a} = \frac{-6+14}{2} = \frac{8}{2}=4 \\ \\ X_2=\frac{-b-\sqrt{\Delta} }{2a}  = \frac{-6-14}{2}=\frac{-20}{2} = -10

4 0
3 years ago
Zach has a basic cell phone plan that does not include texting. He is going to add a multimedia texting package to his
attashe74 [19]

Package A is less expensive for Zach to send 250 multimedia texts each month.

<u>Step-by-step explanation:</u>

Given that,

Zach plans to send 250 multimedia texts each month.

Package A charges $0.25 per multimedia  text with no monthly fees.

Package B charges $0.20 per multimedia text, but has a  $15 monthly fee.

We need to find out which package is less expensive for Zach to add the plan.

<u>The cost of 250 multimedia texts by package A :</u>

⇒ Number of texts × cost per text

⇒ 250 × 0.25

⇒ 62.5

∴ The package A charges $62.5 for 250 multimedia texts.

<u>The cost of 250 multimedia texts by package B :</u>

⇒ (Number of texts × cost per text) + monthly fee

⇒ (250 × 0.20) + 15

⇒ 50 + 15

⇒ 65

∴ The package B charges $65 for 250 multimedia texts.

The Package A charges $62.5 which is less than package B charge of $65.

Hence, package A is less expensive.

6 0
3 years ago
Please answer this also I need help
yKpoI14uk [10]

Answer: 2/2

Step-by-step explanation:

6 x 2/2 =6

7 0
3 years ago
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