Answer:
The distance the Bensons had traveled from their home 
hours after picking up their grand parents 292.5 miles
Step-by-step explanation:
The given equation for the distance the Benson family traveled from their home can be presented as follows;
d = 55·t + 100
Where;
d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents
t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation
To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;
d = 55·t + 100
When t = hours, we get;
Therefore, the distance the Bensons had traveled from their home hours after picking up their grand parents = 292.5 miles.
Answer: 1-17/30, or 47/30
Step-by-step explanation:
Find the common denominator. In this case, it’s 30. Multiply the numerators to fit the new denominator. (10•3=30, so 9•3=27, and 2•10=20.)
Your new fractions are 27/30 and 20/30. Now add the numerators.
27+20=47.
Your new fraction is 47/30.
Now check if you can simplify. Since 47 is a prime number, this fraction is in its simplest form. However, it is an improper fraction, so you can simplify it to 1-17/30.
Answer:
1.1, -5
Step-by-step explanation:
53 - 9y = 1
from equation i
53-9y = 1
-9y= 1-53 = -52
y = -52/-9= 52/9 = 5⁷/₉
-7.2 + 2y = -5
add 7.2 to both sides
2y= -5+7.2 = 2.2
y= 2.2/2 = 1.1
If you simplify this expression you get 2x 2 -7x -2
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A cube has 6 faces which is the shape of a square, all corners are 90 degrees and it’s x^3
