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
What is the median of the following data set -1000, -999, 1998, ..., -1, 0, 1, ..., 998, 999, 1000
qwelly [4]

<u>Answer:</u>

The correct answer option is C. 0.

<u>Step-by-step explanation:</u>

We are given the following data set and we are to find its median value:

- 1 0 0 0 , - 9 9 9 , 1 9 9 8 , ... , -1 , 0 , 1 , ... , 9 9 8 , 9 9 9 , 1 0 0 0

Median is the middle value of a data set which divides it into to halves.

The data set we have starts from -1000 and goes till 1000 which means there are total 2001 elements in it.

Therefore, 0 will the middle value which is the median for this data set.

7 0
2 years ago
Read 2 more answers
Find the surface area of the prism
Bess [88]

Answer:

it would be 124mm

Step-by-step explanation:

you multiply the base x height

3 0
3 years ago
81 x 11<br> 73 x82<br> 64 x 55<br> 27 x 63<br> 24 x 25<br> 47 x 63<br> 24 x 44
zubka84 [21]
81 times 11 is 891
 hope this helps u figure out your problem.
4 0
3 years ago
Read 2 more answers
Please solve for h: V=πr²h
earnstyle [38]
Solve for h:V = π h r^2
V = h π r^2 is equivalent to h π r^2 = V:π h r^2 = V
Divide both sides by π r^2:
Answer: h = V/(π r^2)
8 0
3 years ago
A shipping box in the shape of a rectangular prism has a volume of 18x^3+5x^2-2x. what are three expressions that can represent
Scrat [10]
Volume of the prism is given by:
Volume=length×width×height
but
V=<span>18x^3+5x^2-2x
V=x(18x^2+5x-2)
V=x(9x-2)(2x+1)
Hence the possible expression for the dimensions of the shipping box is x by (9x-2) by (2x+1)</span>
4 0
3 years ago
Other questions:
  • (x+1)(2x-4)(1/x+1) = (x+1)(2x-4)(1-5/2x-4)
    14·1 answer
  • Manny makes $8.75 an hour working at the video store. His paycheck shows that he worked 37.5 hours over the past week. How much
    8·1 answer
  • Estimate and then find the sum
    6·2 answers
  • A new toy hits the local store. Sales (in hundreds) increase at a steady rate for several months, then decrease at about the sam
    13·1 answer
  • Joe has $500 in his bank account at the start of the summer. Every week he withdraws $40 for food. How many weeks can he withdra
    15·1 answer
  • What are the x- and y-intercepts of a line that passes through (5, 18) with a slope of 2?
    14·1 answer
  • The increase in length of an aluminum rod is twice the increase in length of an Invar rod with only a third of the temperature i
    7·1 answer
  • Mrs. Ackerman bought a beach ball for her classroom. The diameter of the beach ball measured 23 inches. Which of the following i
    6·1 answer
  • I need help with this question ASAP
    14·1 answer
  • 80 points!!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!