4. In a given ciass room, the numer of giris is ten greater than the number of boys. If the ratio of the number of giris to the number cf boys is 7:5 then find a. the number of giris b. the number of boys c. the total number of students

60

Given,

Ratio of Girls:Boys (G:B) = 7:5

Also, number of girls = 10 + number of boys

G = 10 + B

G/B = 7/5

(10+B)/B = 7/5

50 + 5 B = 7B

2B = 50

B = 25

G = 10 + B = 35..

A. Number of girls = 35

B. Number of boys = 25

C. Total students = 60

OR

Given G:B = 7:5

Difference between number of girls and boys = 10

Ratio difference = 2 parts (7-5=2)

2 parts===10

1 part ===5

7 parts(gilrs) == 7*5 = 35

5 parts (boys) == 5*5 =25

12 parts(total) = 5*12 = 60.

i am thinking c. sorry if im wrong .

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)