1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dangina [55]
3 years ago
15

Direction: Solve the given problems.

Mathematics
1 answer:
MAXImum [283]3 years ago
7 0
<h2>○=> <u>Solution (6)</u> :</h2>

Ratio of two numbers = 2:3

The larger number = 6

Let the smaller number be x.

Which means :

=\tt 2 : 3 \:  =  \:  x  : 6

= \tt \frac{2}{3}  =  \frac{x}{6}

=\tt 2 \times 6 = 3 \times x

=\tt 12 = 3x

=\tt x =  \frac{12}{3}

\hookrightarrow\color{plum}\tt \: x = 4

▪︎<u>Therefore, the smaller number = 4</u>

<h2>○=> <u>Solution (7)</u> :</h2>

36 compared to 6 = \tt \frac{36}{6}

Let the number be x.

Which means :

= \tt \frac{36}{6}  =  \frac{x}{3}

=\tt  \frac{36 \div 2}{6 \div 2}  =  \frac{x}{3}

=\tt  \frac{36}{6}  =  \frac{18}{3}

▪︎Therefore, the fractional number \tt \frac{18}{3} is equal to \tt \frac{36}{6}.

<h2>○=> <u>Solution (8)</u> :</h2>

Number of Rose's for 24 red Rose's = 6

This can be written in a ratio as 24:6

Number of roses = 8

Let the number of red roses for these roses be x.

Which means :

=\tt  \frac{24}{6}  =  \frac{x}{8}

=\tt 24 \times 8 = 6 \times x

=\tt 192 = 6x

=\tt x =  \frac{192}{6}

\hookrightarrow \color{plum}\tt x = 32

▪︎Therefore, 32 red roses are there if there are 8 roses.

<h2>○=> <u>Solution (9)</u> :</h2>

Number of children for 2 adults = 7

This can be written in a ratio as 7:2

Number of children in the plaza = 21

Let the number of adults be x.

Which means :

= \tt \frac{7}{2}  =  \frac{21}{x}

=\tt7 \times x = 2 \times 21

=\tt 7x = 42

=\tt x  =  \frac{42}{7}

\hookrightarrow \color{plum}\tt \: x = 6

▪︎Therefore, 6 adults were there in the plaza.

<h2>○=> <u>Solution (10)</u> :</h2>

Cost of 12 pencils = P60

Cost of 1 pencil :

= \tt \frac{60}{12}

=\tt P5

Thus, the cost of one pencil = P5

Cost of 25 pencils :

= Cost of one pencil × 25

=\tt 5 \times 25

\color{plum}=\tt \: P  \: 125

▪︎Therefore, the cost of 25 pencils = P125

You might be interested in
Which inequality shows twelve times the sum of three plus c is greater than 27?
snow_lady [41]
Hello!

You can break this down

12 times the sum of 3 and c

This can be written as 12(3 + c)

is greater than 27

12( 3 + c) > 27

This can be simplified to 36 + 12c > 27

The answer is 12(3 + c) > 27 or 36 + 12c > 27

Hope this helps!
7 0
3 years ago
Tina must select and answer in any order three of seven
Leno4ka [110]

Answer:

Tina can select and answer the essay questions on her test in 35 ways.

Step-by-step explanation:

The order in which she chooses the questions is not important. For example, choosing questions 1, 3 and 7 is the same as choosing 7, 3 and 1. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Three questions from a set of 7. So

C_{7,3} = \frac{7!}{3!(7-4)!} = 35

Tina can select and answer the essay questions on her test in 35 ways.

6 0
3 years ago
Veri made $25 babysitting.if she makes $8 an hour,how many hours did she babysit?
taurus [48]
3.12 I got the answer by dividing 25 by 8
8 0
3 years ago
S Rob and Bob together scored 88
Paul [167]
Rob scored 34 points. 88-54=34
3 0
3 years ago
What is 5/8 divided by 3/4?
ladessa [460]

Answer:

it's 20/24 which is means in simple form 5/6

answer 5/6

5 0
3 years ago
Read 2 more answers
Other questions:
  • Highest common factor of 24 and 40
    5·2 answers
  • Find the slope of the line that passes through the points
    15·1 answer
  • (−2.9)⋅(−2.9)^7 solve and will get 20 pts
    15·2 answers
  • 2 hectoliters = ____ centiliters
    12·2 answers
  • Sandy is working with a carpenter to frame a house
    15·1 answer
  • Create a system of equations and use algebra to write a quadratic function that passes through the
    14·1 answer
  • The sum of a interior angle measures of a polygon is 5220. How many sides does the polygon have
    7·1 answer
  • What 1/2 as a decimal??? plaese helppp
    9·1 answer
  • Find the value of c, round to the nearest tenth<br><br> 7, 11, c
    5·1 answer
  • A multiplication expression with a product of 108,064 is shown below. What is the missing digit? four thousand nine hundred twel
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!