Answer: Yes, Daniel has enough money to buy 2 pens.
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Explanation:
x = cost of one pencil
y = cost of one pen
4x = cost of 4 pencils
3y = cost of 3 pens
4x+3y = cost of 4 pencils and 3 pens
100 - (4x+3y) = amount Daniel has left = 7 dollars
100-(4x+3y) = 7 is one equation we can form
Another equation we can form is x = y+3 because "each pencil costs $3 more than each pen".
Let's plug that into the first equation and solve for y.
100-(4x+3y) = 7
100-(4(y+3)+3y) = 7
100 - (4y+12+3y) = 7
100 - (7y+12) = 7
100 - 7y - 12 = 7
-7y + 88 = 7
-7y = 7-88
-7y = -81
y = -81/(-7)
y = 11.57 is the cost of one pen
2y = 2*11.57 = 23.14 is the cost of two pens.
Since this is less than $25, this means he has enough to buy two pens. This assumes that we either ignore tax, or the tax is already included in the listed prices.
Answer:
(x-1)(x+4)
Step-by-step explanation:

Answer: y = x + 6
Step-by-step explanation:



















Answer:
Amount John gets paid per hour
Dollars per hour ,
Step-by-step explanation:
To find how much he gets paid per hour we need to divide the total payment he received by the total number of hours he worked.
Amount John gets paid per hour =
Dollars per hour.
=
Dollars per hour
Answer:
Prism B has a larger base area
Step-by-step explanation:
Given
Base dimensions:
Prism A:
Lengths: 6cm, 8cm and 10cm
Prism B:
Lengths: 5cm and 5cm
Required [Missing from the question]
Which prism has a larger base area
<u>For prism A</u>
First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.
The longest side is the hypotenuse; So:



The above shows that the base dimension forms a right-angled triangle.
The base area is then calculated by;
Area = 0.5 * Products of two sides (other than the hypotenuse)


<u>For Prism B</u>

So, the area is:


<em>By comparison, prism B has a larger base area because </em>
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