Answer:
B. 2
Step-by-step explanation:
Based on the Midsegment of a trapezoid theorem:
GH = (BC + FE)/2
9x - 3 = (19 + (5x + 1))/2) (substitution)
9x - 3 = (20 + 5x)/2
Cross multiply
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
Collect like terms
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 26/13
x = 2
Answer:
5/6 is greater
Step-by-step explanation:
First obtain a common denominator for the fractions. Multiply the denominator of one fraction to the denominator of another and that is the denominator for the new fractions (54). Then multiply the denominator of one fraction to the numerator of the other one to obtain the new numerator. (e.g. 5*9=45 so 5/6 ->45/54) do this to the other fraction and you will see that 7/9 -> 42/54 and 45/54 is greater than 42/54 so 5/6 is greater .
Answer:
=11.155 in³
Step-by-step explanation:
Given data:
Radius= 1.75 inches
Height = 3.5 inches
Diameter= 0.5 inches
To find the volume of a cone we will apply the formula:
Volume of a cone = 1/3 πr²h
Substitute the values:
V= 1/3* 3.14 *(1.75)² * 3.5
V=1/3 *3.14*(3.0625)* 3.5
V= 33.66/3
V=11.22 in³
Now find the volume of the bubble gum:
Volume of bubble gum = 4/3 π*r³
Substitute the values:
V= 4/3*3.14*(0.5/2)³
V=4/3*3.14(0.25)³
V=4/3*3.14(0.015625)
V=0.19625/3
V=0.0654 in³
Now subtract the volume of bubble gum ball from the volume of a cone
=11.22 - 0.0654
=11.155 in³
Thus the closest approximation of the volume of the cone that can be filled with flavored ice is 11.155 in³....
Answer:
A=34, G=31
Step-by-step explanation:
G=A-3
2G+A=99
plug in for g 2(A-3)+A=99
distribute 2 A-3+A=99
combine like terms 3A-3=99
solve for a 3A=102 A=34
plug in a solve for g G=34-3 G=31
Answer:
Hello, Your answer will be 4 tablespoons
Step-by-step explanation:
1/4 cups or fluid ounces.... <em>Hope That Helps.....</em>