Answer:
36 pencils
Step-by-step explanation:
Let h and p represent the number of highlighters and the number of pencils, respectively.
Then h + p = 45, and h = 45 - p.
Tom paid a total of $30 for these supplies, with ($2/highligher)(h) + ($0.333/pencil) adding up to that amount.
substituting 45 - p for h in 2h + 0.333p = 30, we get:
2(45 - p) + 0.333p = 30, or
90 - 2p + 0.333p = 30
Combine the constants: 60 = 2p - 0.333p, or 60 = 1.667p
Then p = 60/1.667 = 35.9928, or 36.
Tom bought 36 pencils for $12, and 45-36, or 9, highlighters for $18, for a total purchase of $30. This shows that these calculations are correct.
Where the heck did x come from!
Answer:
Step-by-step explanation:
<u>Angles in a Circle</u>
An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.
Segments AE and DE are secants of the given circle. They form an exterior angle called AED.
The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.
Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:
Hi again! If the measure of angle A is 155 degrees, then the measure of angle C is also 155 degrees because vertical angles are congruent. Vertical angles are the two angles created when two lines intersect that are NOT linear.
The first question each friend gets 1/8 of the whole pizza
for half of the pizza each friend gets 1/4 so that times 2 equals 1/8
The second question one person gets 1/15 of the brownie pan
1/5 times 3 equals 1/15
The third question 1/3 cup one serving 1 cup three servings three times six equals 18 servings
The fourth question 1/5 cup one muffin one cup 5 muffins five times nine equals forty-five muffins
Hope this helps
