Answer:
6 cookies
Step-by-step explanation:
first, find how much money they spent on cupcakes
6 × $2.25 = $13.5
then, take $13.5 and subtract that by $24
$24 - $13.5 = $10.5
so the person spent $10.5 on cookies. divide the amount per cookie by $10.5
$10.5 ÷ $1.75 = 6
so they bought 6 cookies
Answer:
The line is y=1x+8
Step-by-step explanation:
We can use point-slope form of a line to make an equation. Point-slope form is as follows:
y-y₁=m(x-x₁)
**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.
1. Plug in the given info:
y-10=1(x-2)
2. Distribute the 1:
y-10=1x-2
3. Add 10 to both sides:
y=1x+8
Answer:
Jada
Step-by-step explanation:
We are given Jada's distance in kilometers and Han's distance in meters. To compare the two we need to have them both in the same unit of measurement.
One kilometer is equal to 1000 meters, so Jada ran 15.25*1000=15250 meters.
Compared to Han, who ran 8500 meters, Jada ran farther. 15250>8500.
Answer:
<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>
Step-by-step explanation:
For a quadratic equation:

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.
We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:
P=2(L+W)=36
A=L.W=80
Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.
Thus we use the semi perimeter instead as P/2=L+W=18
The quadratic equation is, then:

Factoring by finding two numbers that add up to 18 and have a product of 80:

The solutions to the equation are:
x=10, x=8
Thus, the dimensions of the metal plate are 10 dm and 8 dm.