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3 years ago

12. The perimeter of a rectangle is 50 feet. The width is 5 less than the

Mathematics

1 answer:

Vlad [161]3 years ago

7 0

Step-by-step explanation:

Length = x

Width = (x-5)

Perimeter = 2 lengths + 2 widths

50 ft = x + x + (x-5) + (x-5)

50 ft = 4x - 10

60 ft = 4x

15 ft = x

length = x = 15 ft

width = (x-5) = (15 -5) = 10 ft

dimensions = length × width

= 15 ft × 10 ft

if you wanna check,

50 ft = x + x + (x-5) + (x-5)

50 ft = 15 + 15 + (15-5) + (15-5)

50 ft = 30 +(10+10)

50 ft = 30 + 20

50 ft = 50

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Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white paint to make pink. Gina mixed 4 pints of red pai

cricket20 [7]

No, in order to do the correct ratio she would have needed to add 4.5 pints to 3 pints because if you divide 9:6 by 2 it is 4.5:3 not 4:3

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3 years ago

PART A: A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the tr

Greeley [361]

Complete Question:

Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm.

(a) Choose a length between 5 cm and 15 cm for the walking trail on the second map: ________cm.

(b) Determine the scale factor from the first map to the second map.

(c) A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map?

(d) Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper:

Answer:

(a) Length = 4cm

(b) Scale factor = 0.5

(d) See attachment for triangle

Step-by-step explanation:

(a) Choose a length between 5 cm and 15 cm

$Length =4cm$ <em>--- This is solely up to you (you can make use of any length between 5 cm and 15 cm)</em>

(b) The scale factor

The scale factor (k) is calculated as:

$k = \frac{New\ Length}{Old\ Length}$

$k = \frac{4cm}{8cm}\\$

$k = 0.5$

(c) What are side lengths of 3 cm, 4 cm, and 5 cm on the second landmark

Using:

$k = \frac{New\ Length}{Old\ Length}$

The old lengths, in this case are: 3cm, 4cm and 5cm

Make New length the subject

$New\ Length = k * Old\ Length$

When $Length = 3cm$

$New\ Length = 0.5 * 3cm = 1.5cm$

When $Length = 4cm$

$New\ Length = 0.5 * 4cm = 2cm$

When $Length = 5cm$

$New\ Length = 0.5 * 5cm = 2.5cm$

So: 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

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3 years ago

How many ninths does it take to make the same amount as 1/3

IgorLugansk [536]

3.
ninths=1/9
1/3 is equal to 3/9.
so (1/9)*3 = 3/9

8 0

3 years ago

Read 2 more answers

There is 1/4 ounce of yeast in every 2 1/4 teaspoon of yeast. A recipe calls for 2 teaspoons of yeast. How many ounces of yeast

MrRissso [65]

1/4 ounce of yeast ... 2 1/4 teaspoons of yeast
x ounce of yeast = ? ... 2 teaspoons of yeast

If you would like to know how many ounces of yeast need to be in the recipe, you can calculate this using the following steps:

1/4 * 2 = x * 2 1/4
1/2 = x * 9/4 /*4/9
x = 1/2 * 4/9
x = 2/9

Result: 2/9 ounce of yeast needs to be in this recipe.

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3 years ago

the original price of a collectible model airplane is $115. The discounted price is $99. What is the percent of discount to the

storchak [24]

Answer:

$99/$115 x 100% = 86.086% of the original price

So 100% - 86.086

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Or you could just do (115 - 99) x 100 which gets the same answer.

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4 years ago