Answer:
vvvv
Step-by-step explanation:
1. Convert 1/4 into eighths to be able to subtract it from 5/8.
1/4 x 2 = 2/8
2. Deduct 2/8 from 5/8.
5/8 - 2/8 = 3/8
Daniel consumed 2/8 of the remaining pie, and now there are 3/8 left.
Answer:
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
Step-by-step explanation:
Given:
Multiplication of 2x^2 – 3xy + y^2 and 2x – 4y
Multiplication refers to the product
(2x^2 – 3xy + y^2) (2x – 4y)
Expand the brackets
= 4x^3 - 8x^2y - 6x^2y + 12xy^2 + 2xy^2 - 4y^3
Combine like terms
= 4x^3 - 14x^2y + 14xy^2 - 4y^3
The result is
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
The given expression is
Thus, in verbal form, we can express it as one eighth of a number.
Answer:
The photographer sold 72 small photos and 54 large photos.
Step-by-step explanation:
We can create a system of equations based on the details provided. Let X represent small photos and Z represent large photos.
It is given that the total number of photos sold is 126:
X + Z = 126
Additionally, she generated $2,250 from selling specific amounts of small and large photos, stated as:
$2,250 = $11X + $27Z
From the first equation, we know X=126-Z. Substituting this into the second equation gives:
2,250 = 11(126-Z) + 27Z
2,250 = 1,386 - 11Z + 27Z
2,250 - 1,386 = 16Z
864 = 16Z
Z = 864/16
Z = 54, which indicates the number of large photos sold. To find X:
X = 126 - Z
X = 126 - 54
X = 72, representing the small photos sold.
Answer:
Step-by-step explanation:
Let x represent the speed of the first ferry.
Consequently, the second ferry's speed is x-5, as it travels 5 miles per hour slower.
The time taken by the first ferry is calculated as distance divided by speed = 
The time taken by the second ferry equals 
.
Since the second ferry departs one hour earlier, the times differ by 1 hour.
The speed cannot be negative.
Thus, the speed of the first ferry is determined to be 18.5 mph,
and for the second, slower ferry, it equals 13.5 mph.
