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LenaWriter [7]
3 years ago
10

40% of the sandwiches on a lunch platter are ham. If there are 8 ham sandwiches, how

Mathematics
2 answers:
Paha777 [63]3 years ago
8 0
20 sandwiches in total
Alona [7]3 years ago
7 0

Answer:

20 sandwiches is the total

Step-by-step explanation:

20 x 0.40 = 8

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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
4. Express each of the following in m/s.
Alex17521 [72]

{ \large{ \purple{ \sf{Hello  \: there!}}}}

As we know that, 1 cm = 0.01 m

So,

(a) 65 cm/s = 0.65 m/s

b) 367 km/h = (367 × 5 ÷ 18) m/s

c) 1000 cm/min = (1000 × 60 ÷ 100) m/s

d) 86 km/min = (86 × 60 ÷ 1000) m/s

\star \:{ \underline{ \boxed{ \sf{ \blue{Thank  \: you : )  }}}}}

8 0
3 years ago
Pls tell me the slope of the graph
Leya [2.2K]
The slope of the graph is 3
8 0
2 years ago
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Your teacher is giving you
fomenos
10 4 Points = 40 points
30 2 points = 60 points

10 4 point questions and 30 2 point questions
8 0
3 years ago
Y=3+5x <br> Help me I don’t understand!.
vova2212 [387]

Answer: the answer is 8

Step-by-step explanation:

8 0
3 years ago
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