1st. Find the pattern
Pattern is dividing by 2.
24/2=12
12/2=6
6/2=3
Answer:
3x + 1 <-5 is x<−2
5x-1> 29 is x>6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x<−2
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x>6
Bob can buy 15 cupcakes for the price of 18 cookies.
Step-by-step explanation:
- Assume the cost of a cookie is $x, the cost of a brownie is $y and the cost of a cupcake is $z.
- It is given that 6 cookies and 2 brownies cost the same, so 6x = 2y, take this as equation 1.
- It is also given that 4 brownies cost the same as 10 cupcakes, so 4y = 10z, take this as equation 2.
- If we divide equation 2 by 2 we get, 2y = 5z so that the y value is the same as equation 1 and we can equate equation 1 and 3.
- We get 6x = 2y = 5z, 6x = 5z, dividing both sides by 5, we get 1.2x = z.
- We need to calculate how many cupcakes Bob can buy for the price of 18 cookies, So we must find the z value when the x = 18.
- If we multiply 1.2 with 15 we get 18 so we the last equation is multiplied with 12 so that 18x = 15z. 18 cookies and 15 cupcakes cost the same.
Answer:
the answer is
The surface area of Figure 1 is <u>10.2</u> square centimeters <u>Less</u> than the surface area of Figure 2.
Step-by-step explanation:
Figure 1
area of a square = s2
=9squared
=81 sq cm
area of triangle = 1/2 bh
=1/2 (9cm) (14cm)
=63 sq. cm
find surface area
SA = 81 sq. cm + 4(63 sq. cm)
SA = 81 sq. cm + 252 sq. cm
SA = 333 sq. cm
Figure 2 Calculation
area of rectangle = lw
a = (12cm) (8 cm)
a = 96 sq. cm
area of triangle = 1/2 bh
=1/2 (8 cm) (6.9 cm)
= 27.6 sq. cm
total surface are of figure 2
SA = 3 (96 sq.cm) + 2 (27.6 sq. cm)
SA = 288 sq. cm + 55.2 sq. cm
SA = 343.2 sq. cm
find the difference between figure 1 and figure 2
343.2 sq. cm - 333 sq. cm = 10.2 sq. cm
Answer:
3 7/10
Step-by-step explanation:
37/10 = 3 7/10
