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jarptica [38.1K]
3 years ago
15

I’m stuck on this question please help

Mathematics
1 answer:
Komok [63]3 years ago
5 0
Take the price of pears (£1.30 per kilogram) and multiply it by the amount of pears (7kg). You get 9.1 so now you take the total amount spent (£12.70) and subtract the 9.1 and you get 3.6 now that is the amount you spent on the apples. So take 3.6 and divide it by the amount of apples you got (2kg) you will get 1.8 and that is your overall answer.
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Factor completely 3x3 − 6x2 − 24x. 3x(x − 4)(x + 2) 3x(x + 4)(x − 2) 3x(x − 3)(x − 2) 3x(x + 3)(x − 2)
inysia [295]

Answer:

3x(x - 4)(x + 2)

Step-by-step explanation:

Given

3x³ - 6x² - 24x ← factor out common factor of 3x from each term

= 3x(x² - 2x - 8) ← factor the quadratic

Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.

The factors are - 4 and + 2, since

- 4 × 2 = - 8 and - 4 + 2 = - 2, thus

x² - 2x - 8 = (x - 4)(x + 2) and

3x³ - 6x² - 24x = 3x(x - 4)(x + 2)

7 0
3 years ago
Mary works in a factory and earns Rs.955 per month she saves Rs.185 per month. Find the ratio of
Kryger [21]

Answer:

A) 37:191

B)191:154

Step-by-step explanation:\

A) Mary's Savings= 185 Rs

Mary's Income= 955 Rs

Ratio = 185:955

= 185/955

=37/191                     ( INTO LOWEST TERMS )

=37:191

B) Mary's Income= 955 Rs

Mary's Expenditure= ?? = Income- Saving = 955-185= 770

Ratio= 955:770

= 955/770

= 191/154                  ( INTO LOWEST TERMS )

= 191:154

8 0
3 years ago
3.2 geometry worksheet
alekssr [168]

Answer/Step-by-step explanation:

5. 21x + 4 = 22x - 2 (corresponding angles)

Collect like terms

21x - 22x = -4 - 2

-x = -6

divide both sides by -1

x = 6

6. (x + 72) + (x + 132) = 180 (linear pair)

x + 72 + x + 132 = 180

Add like terms

2x + 204 = 180

2x = 180 - 204

2x = -24

x = -12

7. 90 = 22x + 2 (vertical angles)

90 - 2 = 22x

88 = 22x

Divide both sides by 22

4 = x

x = 4

8. 12x + 10 = 13x + 3 (vertical angles)

Collect like terms

12x - 13x = -10 + 3

-x = -7

Divide both sides by -1

x = 7

9. 17x = 16x + 5 (alternate exterior angles)

17x - 16x = 5

x = 5

✔️17x

Plug in the value of x

17(5) = 85°

10. 21x - 6 = 20x (corresponding angles)

Add like terms

21x - 20x = 6

x = 6

✔️20x

20(6) = 120°

3 0
3 years ago
-5x + 12 - 7x = -3(5x + 8)
nikitadnepr [17]

Simplify -5x + 12 - 7x to -12x + 12

-12x + 12 = -3(5x + 8)

Expand

-12x + 12 = -15x - 24

Add 15x to both sides

-12x + 12 + 15x = -24

Simplify 12x + 12 + 15x to 3x + 12

3x + 12 = -24

Subtract 12 from both sides

3x = -24 - 12

Simplify -24 - 12 to -36

3x = -36

Divide both sides by 3

x = -36/3

Simplify 36/3 to 12

<u>x = -12</u>

7 0
3 years ago
The following frequency distribution shows the yearly tuitions (in $1,000s) of a sample of private colleges.
hoa [83]

Answer:

19.714

Step-by-step explanation:

Given :

Yearly Tuition Frequency

12-16 5

17-21 4

22-26 3

27-31 2

We calculate the midpoint (x) = (lower + upper) / 2

The mean yearly tuition :

The midpoint (x) :

X ___ F ___ Fx

14 __ 5

19 __ 4

24 __ 3

29 __ 2

The mean = Σfx / Σf

Σfx / Σf = (14*5 + 19*4 + 24*3 + 29*2) / (5+4+3+2)

Mean = 276 / 14

Mean yearly tuition = 19.714

8 0
2 years ago
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