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drek231 [11]
3 years ago
14

David loves to cook! He knew 21 recipes before starting cooking school and he learns 2 recipes

Mathematics
2 answers:
pishuonlain [190]3 years ago
7 0

Answer:

Sarah is incorrect.

Step-by-step explanation:

By plugging 10 in as 'x' to the equation, we get y=21+(2*10). 2 x 10 is 20, and 20 + 21 is <em>not</em> 42 - it's 41. So, Sarah is incorrect.

ser-zykov [4K]3 years ago
5 0

Answer:

Sarah is not correct because if David already knows 21 recipes and learns 2 recipes per week, then he will know only 41 recipes after 10 weeks, not 42.

Step-by-step explanation:

To see if Sarah is correct, let's replace the y in the equation with 42 and the x with 10:

y = 2x + 21

42 = 2(10) + 21

42 = 20 + 21

42 \neq 41

Sarah is wrong.

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ZanzabumX [31]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
What scale factor was used in going from the grey triangle to the yellow triangle?
Lena [83]

Answer:

2

Step-by-step explanation:

First, we need to find out the length of the third side of the triangle. (The right side of the Y-axis) We use the pythagorean theorem to find it. 4²+2² = 20 find the square root of 20 √20 = ~4.5 so with this in mind, lets find the length of the whole triangle. 8²+4²=80 then √80 = ~9 with this, we can say that since the length of one of the legs has increased by 2, and so has the length of the base, and also the length of the hypotenuse, the scale factor must be 2.

8 0
3 years ago
5x + 6y = 20 , 8x - 6y = -46
serg [7]

Answer:

5x + 6y = 20_____(1)

8x - 6y = -46_____(2)

Solving simultaneously:

Eqn(1) + Eqn(2)

5x + 8x + 6y + (-6y) = 20 + (-46)

13x = -26

x = -2

substituting this into Eqn (1):

5(-2) + 6y = 20

-10 + 6y = 20

6y = 30

y = 5

hence:

x = -2,y = 5.

7 0
3 years ago
A triangle has base 2x+1 and height 6x-3. What value of x would give an area of 240m2?
GREYUIT [131]

Answer:

The values of x which would give an area of 240m² would be:

x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}

Step-by-step explanation:

Given

The base of triangle b = 2x+1

The height of triangle h = 6x-3

The Area of the triangle A = 240 m²

The Area of the triangle has the formula

A = 1/2 × b × h

substituting b = 2x+1, h = 6x-3 and A = 240

240\:=\:\frac{1}{2}\:\left(2x+1\right)\:\times \left(6x-3\right)

480=\left(2x+1\right)\left(6x-3\right)

480=12x^2-3

Subtract 480 from both sides

12x^2-3-480=480-480

12x^2-483=0

3\left(4x^2-161\right)=0

3\left(2x+\sqrt{161}\right)\left(2x-\sqrt{161}\right)=0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

2x+\sqrt{161}=0\quad \mathrm{or}\quad \:2x-\sqrt{161}=0

solving

2x+\sqrt{161}=0

2x=-\sqrt{161}

Divide both sides by 2

\frac{2x}{2}=\frac{-\sqrt{161}}{2}

x=-\frac{\sqrt{161}}{2}

also solving

2x-\sqrt{161}=0

2x=\sqrt{161}

Divide both sides by 2

\frac{2x}{2}=\frac{\sqrt{161}}{2}

x=\frac{\sqrt{161}}{2}

Therefore, the values of x which would give an area of 240m² would be:

x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}

3 0
3 years ago
WhWhich of these four sets of side lengths will form a right triangle? Set 1 10 cm, 26 cm, 24 cm Set 2 4 in., 2 in., 6 in. Set 3
Aloiza [94]

Answer:

All four Sets didn't work

Step-by-step explanation:

You should be doing hypothnose aka: a² + b² = c²

If they both equal that means they are a right triangle.

Set 1:

24² + 26² = 110²

576 + 676 = 10²

1252 = 12100

No

Set 2:

2² + 4² = 6²

4 + 16 = 6²

20 = 36

No

Set 3:

13² + 14² = 15²

169 + 196 = 15²

365 = 225

No

Set 4:

10² + 20² = 30²

100 + 400 = 30²

500 = 900

No

5 0
3 years ago
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