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3 years ago

The ratio of two numbers is 4:9. When 5 is subtracted from each of them the new ratio becomes 3:8. Find the numbers.

Mathematics

1 answer:

natta225 [31]3 years ago

8 0

Answer:

FIRST NUMBER IS 20

AND

SECOND NUMBER IS 45

Step-by-step explanation:

LET THE RATIO BE X

FIRST NUMBER = 4X

SECOND NUMBER = 9X

A/Q,

=}4X - 5 / 9X - 5 = 3 / 8

CRISS CROSS,

=}8 ( 4X - 5 ) = 9X - 5 ( 3 )

=}32X - 40 = 27X - 15

=}32X - 27X = - 15 + 40

=}5X = 25

=}X = 25 / 5

=}X = 5

THEREFORE,

FIRST NUMBER

=} 4X

=} 5 × 4

=} 20

SECOND NUMBER

=} 9X

=} 5 × 9

=} 45

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Phoenix [80]

Answer:

Since i don't know what formula is mentioned. I just used the easiest way to solve :)

Step-by-step explanation:

$(3x^2 + 3)^3 = (3x^2)^3 + 3^3 + 3((3x^2)^2)(3) + 3(3x^2)(3^2)$

$= 27x^6 + 27 + 3(9x^4 \times 3) + 3(3x^2 \times 9)\\\\=27x^6 + 27 + 81x^4 + 81x^2\\\\=27x^6 + 81x^4 + 81x^2 + 27\\\\$

$\int\limits {(3x^2+3)^3} \, dx = \int\limits {27x^6 + 81x^4+81x^2 + 27} \, dx$

$= \frac{27}{7}x^7 + \frac{81}{5}x^5+\frac{81}{3}x^3 + 27x +C\\\\= \frac{27}{7}x^7 + \frac{81}{5}x^5+27x^3 + 27x +C\\\\$

8 0

3 years ago

Cheryl is planning to go to a four-year college in two years. She develops a monthly savings plan using the estimates shown. Wha

Alik [6]

Answer:

$541.67 per month

Step-by-step explanation:

Tuition and other expenses = $8,250 per semester.

There are two semesters in a year

She has 4 years to spend

Total semester=4years*2semesters

=8 semesters

4 years in college which is a total of 8 semesters.

Total Tuition and other expenses = $8,250 * 8

= $66,000

She needs a total of $66,00 to complete her college

Assistance from parents=$15,000

Financial aid(per semester)=$4750

Total financial aid=$38,000

Total assistance=

Assistance from parents+ financial aid

=$15000+$38,000

=$53,000

Total savings=Total amount needed - Total assistance

=$66,000 - $53,000

=$13,000

She needs to save $13,000 in two years

There are 12 months in one year

2 years=2*12=24 months

Monthly savings=Total savings/24 months

=$13,000/24

=$541.666666

To the nearest cent

=$541.67

3 0

3 years ago

Decide if the following scenario involves a permutation or combination. Then find the number of possibilities. The student body

Troyanec [42]

Answer:

735,130.

Step-by-step explanation:

The order of election of the 3 representatives does not matter so it is a combination.

The number of possible combinations

= 165! / 162! 3!

= (165 * 164 * 163) / (3*2*1)

= 735,130.

6 0

3 years ago

-7x^2+14x+21=0<br>answer?

scoray [572]

Answer:

7(−x−1)(x−3)

Step-by-step explanation:

6 0

3 years ago

Evaluate the expression 2b^3+5 (BTW I did the first part it's 3 but I need the second part)

andrey2020 [161]

To find the exact answer based on the last step, " $2(3)^3+5$ ", you must use PEMDAS (attached image below)

$2(3)^3+5=2*27+5=54+5=59$

Thus the answer is <u>59</u>.

Hope that helps!

4 0

2 years ago

The ratio of two numbers is 4:9. When 5 is subtracted from each of them the new ratio becomes 3:8. Find the numbers.​

The ratio of two numbers is 4:9. When 5 is subtracted from each of them the new ratio becomes 3:8. Find the numbers.