Answer:
see the explanation
Step-by-step explanation:
we know that
A gross is equal to 120 ones or ten dozen
what is 15 tens - 1 gross
we know that
15 tens means ----> That you are adding 10, 15 times or multiplying 10 by 15, which gives you

1 gross means ---> That you are adding 10, 12 times or multiplying 10 by 12
which gives you

so
The algebraic expression of 15 tens - 1 gross is equal to

Convert to word expression
3 tens
Answer:
y = 16x/65
Step-by-step explanation:
Given:
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines
EB and DC are parallel
The area of quadrilateral BCDE = xcm²
The area of triangle ABE = ycm²
Find attached the diagram from the above information.
In similar triangles, the ratio of their corresponding angles are equal.
Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.
Area ∆ACD/area of ∆ABE = (DC/EB)²
Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +
area of ∆ABE)]/(area of ∆ABE)
(x+y)/y = (DC/EB)²
(x+y)/y = (9/4)²
x+y = (81/16)y
x = (81/16)y - y
x = (81y - 16y)/16
x = 65y/16
Making y subject of formula
16x = 65y
y = 16x/65
An expression for y in terms of x:
y = 16x/65
We can use t=x^2 to solve this
Once we do that we will have simple square equation which we know how to solve.
t^2 + 3t + 2 = 0
t1 = -1
t2 = -2
x1 = √-1 = i
x2 = -i
x3 = √-2 = i√2
x4 = -i√2
Make sure you know that i^2 = -1 and (-i)^2 = -1 which gives us solutions we got...
Answer:Ella's Procedure And Conclusion are incorrect
Step-by-step explanation:
Answer:
Option (3). 0.25(22 - d) + d = 10.75
Step-by-step explanation:
Total number of coins Giuliana has = 22
Let the number dollar coins Giuliana has = d
Number of quarters with Giuliana = (22 - d)
Value of dollar coins and quarters = $10.75
So the equation will be,
Number of dollars coins × $1 + Number of quarters × $0.25 = $10.75
d + 0.25 × (22 - d) = 10.75
Therefore, to determine the number of dollars with Giuliana equation will be used,
d + 0.25(22 - d) = 10.75
Option (3) will be the answer.