Answer: Smaller number = 6
Larger number = 20
Step-by-step explanation:
Let the smaller number be x.
Let the larger number be y.
Three times a larger number is 30 more than 5 times a smaller number. This will be:
3 × y = (5 × x) + 30
3y = 5x + 30 ...... i
The sum of the larger number and 5 times the smaller number is 50. This will be:
y + 5x = 50 ...... ii
From equation ii
y + 5x = 50.
y = 50 - 5x ...... iii
Put the value of y = 50 - 5x into equation i
3y = 5x + 30
3(50 - 5x) = 5x + 30
150 - 15x = 5x + 30
150 - 30 = 5x + 15x
120 = 20x
x = 120/20
x = 6
The smaller number is 6
Note that y + 5x = 50
y + 5(6) = 50
y + 30 = 50
y = 50 - 30
y = 20
The bigger number is 20
Answer:
x = 107°
Step-by-step explanation:
The sum of all 3 angles in any triangle needs to equal 180°.
This means that 44° + 29° + x = 180°
180° - 44° - 29° = 107°
Answer:
A) 5 in. long and 5 in. wide
Step-by-step explanation:
Given:
Volume of a rectangular prism = 75 cubic inches
Height of prism = 3 inches
Volume of a rectangular prism is given by = 
where 
representslength of base, 
represents width of base and 
represents height of the prism.
We will check the choices given by finding the volume for the given dimensions of length and width while height remains the same and see if it matches with the given volume of the prism.
A) 
Volume of prism = 
B) 
Volume of prism = 
C) 
Volume of prism = 
D) 
Volume of prism = 
So, we see that the dimensions given in option A would give the volume of prism = 75 cubic inches.
Answer:
=
2
7
+
3
Step-by-step explanation:
