Answer: A scone costs $2.64, and a large coffee costs $1.92.
Explanation: We can write both scenarios as equations, and write it as a system of equations.
“Luis picked up seven scones and four large coffees. He paid $26.16.”
Let’s express the cost of a scone as x.
Let’s express the cost of a large coffee as y.
The first equation would be 7x + 4y = 26.16.
“Rachel picked up six scones and five large coffees. She paid $25.44.”
Let’s express the cost of a scone as x.
Let’s express the cost of a large coffee as y.
The second equation would be 6x + 5y = 25.44.
The systems of equations is:
7x + 4y = 26.16
6x + 5y = 25.44
Let’s take the first equation and solve for x.
7x + 4y = 26.16
7x = 26.16 - 4y
x = (26.16 - 4y)/7
Let’s substitute x in the second equation for (26.16 - 4y)/7, and solve for y.
6((26.16 - 4y)/7) + 5y = 25.44
Distribute the 6 across 26.16 - 4y in the term 6((26.16 - 4y)/7).
(156.96 - 24y)/7 + 5y = 25.44
Rewrite 5y as 35y/7 so it has a common denominator with (156.96 - 24y)/7.
(156.96 - 24y)/7 + 35y/7 = 25.44
Combine like terms.
(156.96 + 11y)/7 = 25.44
Multiply both sides by 7.
156.96 + 11y = 178.08
Subtract 156.96 from both sides.
11y = 21.12
Divide both sides by 11.
y = 1.92
Substitute y into the first equation.
7x + 4(1.92) = 26.16
Simplify 4(1.92).
7x + 7.68 = 26.16
Subtract 7.68 from both sides.
7x = 18.48
Divide both sides by 7.
x = 2.64
Since x = 2.64, we know that the cost of a scone is $2.64.
Since y = 1.92, we know that the cost of a large coffee is $1.92.
Therefore, a scone costs $2.64, and a large coffee costs $1.92.
Answer:
you can subtract 2x from both sides
Then subtract 5 from both sides.
x = 2 is what the equation gives you
Step-by-step explanation:
You can do one of two things.
1. You can subtract 2x from both sides of the equation
or
2. You can subtract 5 from both sides of the equation.
Either one will give you the correct answer.
3x - 2x + 5 = 2x - 2x + 7 Combine the xs
1x + 5 = 7 Subtract 5 from both sides.
x + 5-5 = 7-5
x = 2
Putting all the heights in order we get:
149.25
149.5
150.75
152.0
Bradley is the tallest, so he is 152.0
Josh is the shortest, so he is 149.25
Calvin is taller than josh, but shorter than mark,
So Calvin is 149.5, making Mark 150.75cm
It looks like a multiplication by 0, so the result must be 0. Answer A.
Answer:
BD and BE are tangents to the circle
Step-by-step explanation:
Given
See attachment
Required
What does BD and BE represent?
From the attachment, we have:
The measure of angles between a tangent and the radius of a circle is always
So, because and AD is a radius, then BD is a tangent to circle.
Similarly,; and AE being a radius implies that BE is a tangent to circle.