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3 years ago

Liam is a tyre fitter it takes him 56 minutes to fit 4 tyres to a van how long would it take to fit 12 tyres to 3 vans

Mathematics

1 answer:

Schach [20]3 years ago

7 0

Answer:

168 minutes, or 2 hours, 48 minutes

Step-by-step explanation:

Set up a proportion and solve.

56 minutes is to 4 tires as 'x' minutes are to 12 tires

becomes

56/4 = x/12 solve for x...

[56(12)]/4 = x (multiply both sides by 12 to get rid of the fraction)

672/4 = x (simplify 52(12) = 672)

168 = x (simplify 672/4 = 168)

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Help me ASAP! 20 POINTS TO THE ONE WHO ANSWERS CORRECTLY!

Marrrta [24]

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16x + 5
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3 years ago

Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

7 0

3 years ago

Area of a regular octagon with radius 8

bixtya [17]

Step-by-step explanation:

Area of the octagon = 2(1+√2)8=309.02 units

3 0

3 years ago

: John wants to move from point A to point B. To avoid the pond, he must walk 36 m south and 49 m east. However, he wants to go

just olya [345]

Answer:

60.80

Step-by-step explanation:

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3 years ago

5. In the morning, Kevin's cat eats 1/2 of a can of cat food. In the afternoon, the cat eats 1/4 of a can of food. In the evenin

ELEN [110]

Answer:

2 cans

Step-by-step explanation:

1/2 + 1/4 + 4/5 = 1.55

2 is the best answer since we know the cat eats more than 1 and a half cans so the closest thing would be 2 cans

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3 years ago