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3 years ago

6/11+1/2 what is the answer

Mathematics

1 answer:

tester [92]3 years ago

5 0

Answer:

1 1/22

Step-by-step explanation:

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A car can travel 135 miles with 5 gallons of gasoline. At this rate, how much gallons of gasoline the car needs to travel 675 mi

labwork [276]

Answer:

25 gallons

Step-by-step explanation:

Given

135 miles to 5 gallons

Required

Determine the number of gallons for 675 miles

From the question, number of miles is directly proportional to number of gallons:

So, we have:

$135\ miles = 5\ gallons$

and

$675\ miles = x$

Where x represents the number of gallons for 675 miles

Cross Multiply:

$135 * x = 675 * 5$

$135x = 3375$

Make x the subject

$x = 3375/135$

$x = 25$

Hence, the car needs 25 gallons

4 0

3 years ago

Expand and simplify (x+5)(x-2)

neonofarm [45]

Answer:

${x}^{2} + 3x - 10$

Step-by-step explanation:

$(x + 5)(x - 2)$

utilise the Foil method to expand brackets:

F - mulply the first terms (x and x)

O - multiply the outside terms ( x and -2)

I - multiply the inside terms (5 and x)

L - multiply the last terms (5 and -2)

Then add them as following:

${x}^{2} - 2x + 5x - 10$

Then combine like terms:

${x}^{2} + 3x - 10$

6 0

3 years ago

Read 2 more answers

Please show me step by step so I can learn to explain it to my son.

aleksklad [387]

These are the steps:
1. Find the area of the trapezium {Whole figure).
2. FInd the area of the rectangle (unshaded).
3. Area of the shaded = Area of trapezium - Area of the rectangle.

Step 1: Find the area of the trapezium:

Formula : Area of trapezium = 1/2 (a + b)h

Area = 1/2 ( 25 + 15) (12) = 240 yd²

Step 2 : Find the area of the rectangle:

Formula : Area = Length x Width

Area = 12 x 3 = 36 yd²

Step 3: Find the shaded region:

240 - 36 = 204 yd²

Answer: 204 yd²

6 0

3 years ago

Use the slope formula to find the slope of the line through the points (2,10) and (10,−8).

Salsk061 [2.6K]

The slope formula is the changes of two y-values over/to the changes of two x-values.

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

Substitute two given points in the formula to find the slope. The m-term represents the slope from y = mx+b.

$\large{m = \frac{10 - ( - 8)}{2 - 10} } \\ \large{m = \frac{10 + 8}{ - 8} } \\ \large{ m = \frac{18} { - 8} \longrightarrow \frac{9}{ - 4} } \\ \large \boxed{m = - \frac{9}{4} }$

Answer

The slope is -9/4.

Hope this helps and let me know if you have any doubts!

6 0

3 years ago

Read 2 more answers

Work out the area of the shaded region.

Makovka662 [10]

Answer: Area of the shaded region is 6.867 square cm

Step-by-step explanation:

The shaded area corresponds to the difference of the area of the rectangle and the area of the semicircle.

Area of the rectangle = 4 times 8 = 32 cm^2

Area of the semicircle = 0.5 * pi * r^2 (where r is the radius, i.e., half of the diameters, i.e., 4 cm). So Area = 0.5*pi*4^2 = 25.133 cm^2

The difference: 32 - 25.133 = 6.867 cm^2 (area of the shaded region)

5 0

3 years ago