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777dan777 [17]
3 years ago
6

Due soon will give brainalist no fake answers!!

Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Answer:

90gr strawberry jelly

6 sponge fingers

315ml custard

135gr tinned fruit

Step-by-step explanation:

120/4 = 30 * 3 = 90

8/4 = 2 * 3 = 6

420/4 = 105 * 3 = 315

180/4 = 45 * 3 = 135

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1. What is the solution of the system?
andreyandreev [35.5K]

Answer:

The given system of equations has solutions below:

1) The solution is (2,3)

2) The solution is (\frac{-8}{7}, \frac{5}{7})

3) The solution is infinitely many solutions

4) No solution

Step-by-step explanation:

Given system of equation are

-x+2y=4\hfill (1)

-4x+y=-5\hfill (2)

To solve equation by using elimination method

Multiply eqn (2) into 2

-8x+2y=-10\hfill (3)

Now subtracting (1) and (3)

-x+2y=4

-8x+2y=-10

_________________

7x=14

x=\frac{14}{7}

x=2

Substitute x=2 in equation (1)

-2+2y=4

2y=4+2

y=\frac{6}{2}

y=3

Therefore the solution is (2,3)

2) Given equation is

-2x+y=3\hfill (1)

4y-4=x

Rewritting as below

x-4y=-4\hfill (2)

To solve equation by using elimination method

multiply (2) into 2

2x-8y=-8\hfill (3)

Adding (1) and (3)

-2x+y=3

2x-8y=-8

________

-7y=-5

y=\frac{5}{7}

substitute y=\frac{5}{7} in (1)

-2x+\frac{5}{7}=3

-2x=3-\frac{5}{7}

-2x=\frac{21-5}{7}

x=-\frac{8}{7}

Therefore the solution is (\frac{-8}{7},\frac{5}{7})

3) Given equation is 6x+2y=10\hfill (1)

3x+y=5\hfill (2)

equation (1) can be written as

2(3x+y)=10

3x+y=\frac{10}{2}

3x+y=5

Therefore equations (1) and (2) are same therefore it has infinitely many solutions

4) Given equation is -x-2y=14\hfill (1)

-2x-4y=12\hfill (2)

multiply equation (1) into 2

-2x-4y=28\hfill (3)

To solve equation by using elimination method

subtracting (2) and (3)

-2x-4y=28

-2x-4y=12

_______

28\neq -12

therefore it has no solution

4 0
3 years ago
The equation of a line is y = 17x -6
julia-pushkina [17]

Answer:

(0, -6)

Step-by-step explanation:

the point where the line crosses the y-axis has its x value = 0.

hence y = 17 * 0 -6 = -6

so (0, -6)

7 0
2 years ago
Read 2 more answers
Six identical squares are cut from the corners and edges of an 80 cm by 50 cm cardboard rectangle. the remaining piece is folded
Anna11 [10]
Check the picture.

let the length of a side of each of the squares removed be x.

The box formed will have dimensions: 80-2x, 50-2x, x(the height)

So the volume can be expressed as a function of x as follows:

f(x)=(80-2x)(50-2x)x=[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x

so f(x)=4 x^{3}-260x^{2}+4000x

the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,

f'(x)=12x^{2}-520 x +4000=0

solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions

x=10 and x=33.333

plug in f(x) these values to see which greater:

f(10)=(80-20)(50-20)10=60*30*10=18000 cm cubed

f(33.333)=(80-66.666)(50-66.666)33.333= which is negative because (50-66.666)<0



Answer: 18000 cm cubed

5 0
3 years ago
Read 2 more answers
Polly has $80,000 in a savings account that earns 1% annually. The interest is not compounded. How much will she have in 1 year?
Natasha2012 [34]

Answer:

80,800

Step-by-step explanation:

7 0
3 years ago
If DE + EF = DF, and ____________, then the point E is the midpoint of .
gogolik [260]
<span>DE=EF  hope I helped with your studies :)

</span>
5 0
3 years ago
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