Let the first integer be x; then the second is x+1.
The product of x and x+1 is x(x+1), and this product must equal 1295.
Thus, x^2 + x = 1295, or x^2 + x - 1295 = 0
Solve for x by completing the square:
x^2 + x + (1/2)^2 - (1/2)^2 - 1295 = 0
(x-1/2)^2 - 1/4 - 1295 = 0, or (x-1/2)^2 -5181/4 = 0,
Thus, x-1/2 = sqrt(5181/4), and so
x = 1/2+sqrt(5181/4) = 25.45
This could NOT be correct, since x and x+1 are CONSECUTIVE INTEGERS.
CHECK to ensure that you have copied down this problem correctly.
In decimal form... it is 1.30
Answer:
m(arc AC) = 72°
m(arc BD) = 108°
m∠DEB = 90°
Step-by-step explanation:
Ratio of the measure of arc AC, arc BC, arc BD and arc AD = 4 : 2 : 6 : 8
Since, m(arc AC) + m(arc CB) + m(arc BD) + m(arc AD) = 360°
By the property of ratio,
Measure of arc AC = 
= 
= 72°
Measure of arc BD = 
= 
= 108°
Measure of ∠DEB = 
= 
= 90°
I think it’s b i’m sorry if it’s wrong
Answer:
Let x = the unknown cost of a single hot dog and y = the unknown cost of a single soft drink. We have two unknowns so we need two equations to find them.
Equation 1 - 10 hot dogs and 5 soft drinks cost $35; that is 10x + 5y = 35
Equation 2 - 7 hot dogs and 4 soft drinks cost $25.25; that is 7x + 4y = 25.25
First let's re-write equation 1 to solve for y:
10x + 5y = 35
5y = 35 - 10x (subtract 10x from both sides)
y = 7 - 2x (divide both sides by 5)
Next, let's substitute 7 - 2x for y in equation 2:
7x + 4y = 25.25
7x + 4(7-2x) = 25.25
7x + 28 - 8x = 25.25
-x + 28 = 25.25
x - 28 = -25.25
Solve for x, the cost of a single hot dog. Once you have that, use y = 7 - 2x to find the cost of a single soft drink.
Step-by-step explanation:
Hope it helpful
