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2 years ago

Glenda has some sweets. If she gives each of her friends 6 sweets, there will

Mathematics

1 answer:

Grace [21]2 years ago

8 0

Answer:

Number of sweets =54

Step-by-step explanation:

Let number of friends = x

Number of sweets = y

Glenda gives 6 to each of her friend,

6x = y ----------------(I)

If she gives each of them 4, 18 is left

4x + 18 = y ---------------(II)

From (I)& (II)

6x = 4x + 18

Subtract 4x from both sides

6x - 4x = 4x + 18 - 4x

2x = 18

Divide both sides by 2

2x/2 = 18/2

x = 9

y = 6x

= 6 * 9

y = 54

Number of sweets =54

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A freezer can be bought on hire purchase by making a desposiy of 15% of the cash price which is $2975 the interest which is 20%

Liono4ka [1.6K]

Answer: See explanation

Step-by-step explanation:

a. The deposit

= 15% × $2975

= 15/100 × $2975

= 0.15 × $2975

= $446.25

b. The hire purchase price

Outstanding balance = $2975 - $446.25 = $2528.75

20% of outstanding balance

= 20% × $2528.75

= 0.2 × $2528.75

= $505.75

Hire purchase price

= $2975 + $505.75

= $3480.75

c. The difference the hire purchase price and cash price

= $3480.75 - $2975

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d. The difference as a percentage of the cash price.

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= 0.17 × 100

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5 0

2 years ago

Find the vertex of this parabola.<br><br><br><br> y = -2x2 + 4x + 12

STatiana [176]

For this case we have the following equation:
$y = -2x ^ 2 + 4x + 12
$
Deriving we have:
$y = -2x ^ 2 + 4x + 12

y '= -4x + 4$
We match zero:
$-4x + 4 = 0
$
We clear the value of x:
$4x = 4

x = 4/4

x = 1$
Then, we substitute the value of x in the equation of the parabola:
$y = -2 (1) ^ 2 + 4 (1) + 12

y = -2 + 4 + 12

y = 14$
Thus, the vertex of the parabola is the ordered pair:
$(x, y) = (1, 14)$
Answer:
The vertice is:
$(x, y) = (1, 14)$

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2 years ago

Through (-4,6) and parallel to y=-3x+4

liraira [26]

Y=mx+b
parallel lines will have the same slope.

using the points (-4,6) and the slope for the parallel line -3 we can find b (the y intercept) for the line.

6 = (-3)(-4) + b
6 = 12 + b
-12 + 6 = -12 + 12 +b
-6 = b
so the line that runs through points (-4,6) and parallel to y= -3x+4 is:
y = -3x -6

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2 years ago

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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