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3 years ago

Help! Fast! Thanks if you do!

Mathematics

1 answer:

Vanyuwa [196]3 years ago

4 0

1.
Area of the rooms:
Room I = 15.9 * 8.6 = 136.74
Room II = 11.9 * 6.3 = 74.97
Hence, the total area is: 211.71 square foot.

2.
211.71 square foot * 12 each square feet = $2540.52

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What is the area? 4 m 10 m square meters What is the formula

Georgia [21]

Answer:

Step-by-step explanation:

A*B=C

A=4

B=10

4*10=C

4*10=40

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2 years ago

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The distance between two cities is 87 km. What is the distance between them on a map drawn at a scale of 1:600,000?

Elena L [17]

The distance between them on a map at a scale 1 : 600,000 is 14.5 cm

Step-by-step explanation:

Scale drawing:

Is used to represent a real object with accurate sizes reduced or enlarged by a certain amount (called the scale)
States the ratio of a length in the drawing to an equivalent length in the real world
1 : 100 means 1 unit in drawing represents 100 units in real life

∵ The distance between two cities is 87 km

∵ The distance between them on a map drawn at a scale of

1 : 600,000

- That means each 1 cm represents in real life 600,000 cm, so

you must change the kilometer to centimeter

∵ 1 km = 100,000 cm

∴ 87 km = 87 × 100,000 = 8,700,000 cm

Now let us use the ratio method

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→ x : 8,700,000

By using cross multiplication

∴ x × 600,000 = 1 × 8,700,000

- Divide both sides by 600,000

∴ x = 14.5

∴ The distance between them on the map = 14.5 cm

The distance between them on a map at a scale 1 : 600,000 is 14.5 cm

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3 years ago

April worked 1 1/2 times as long on her math project as did Carl. Debbie worked 1 1/4 times as long as Sonia. Richard worked 1 3

vlada-n [284]

Answer:

Student Hours worked

April. $7\frac{7}{8} \ hrs$

Debbie. $8\frac{1}{8}\ hrs$

Richard. $7\frac{19}{24}\ hrs$

Step-by-step explanation:

Some data's were missing so we have attached the complete information in the attachment.

Given:

Number of Hours Carl worked on Math project = $5\frac{1}{4}\ hrs$

$5\frac{1}{4}\ hrs$ can be Rewritten as $\frac{21}{4}\ hrs$

Number of Hours Carl worked on Math project = $\frac{21}{4}\ hrs$

Number of Hours Sonia worked on Math project = $6\frac{1}{2}\ hrs$

$6\frac{1}{2}\ hrs$ can be rewritten as $\frac{13}{2}\ hrs$

Number of Hours Sonia worked on Math project = $\frac{13}{2}\ hrs$

Number of Hours Tony worked on Math project = $5\frac{2}{3}\ hrs$

$5\frac{2}{3}\ hrs$ can be rewritten as $\frac{17}{3}\ hrs.$

Number of Hours Tony worked on Math project = $\frac{17}{3}\ hrs.$

Now Given:

April worked $1\frac{1}{2}$ times as long on her math project as did Carl.

$1\frac{1}{2}$ can be Rewritten as $\frac{3}{2}$

Number of Hours April worked on math project = $\frac{3}{2}$ $\times$ Number of Hours Carl worked on Math project

Number of Hours April worked on math project = $\frac{3}{2}\times \frac{21}{4} = \frac{63}{8}\ hrs \ \ Or \ \ 7\frac{7}{8} \ hrs$

Also Given:

Debbie worked $1\frac{1}{4}$ times as long as Sonia.

$1\frac{1}{4}$ can be Rewritten as $\frac{5}{4}$ .

Number of Hours Debbie worked on math project = $\frac{5}{4}$ $\times$ Number of Hours Sonia worked on Math project

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Also Given:

Richard worked $1\frac{3}{8}$ times as long as tony.

$1\frac{3}{8}$ can be Rewritten as $\frac{11}{8}$

Number of Hours Richard worked on math project = $\frac{11}{8}$ $\times$ Number of Hours Tony worked on Math project

Number of Hours Debbie worked on math project = $\frac{11}{8}\times \frac{17}{3}= \frac{187}{24}\ hrs \ \ Or \ \ 7\frac{19}{24}\ hrs$

Hence We will match each student with number of hours she worked.

Student Hours worked

April. $7\frac{7}{8} \ hrs$

Debbie. $8\frac{1}{8}\ hrs$

Richard. $7\frac{19}{24}\ hrs$

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