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devlian [24]
3 years ago
10

Tony spent $50.35 on office supplies. He bought markers for $3.80 each and an organizer for $19.95. How many markers did tony bu

y?
Mathematics
1 answer:
Mila [183]3 years ago
5 0

Answer:

8

Step-by-step explanation:

Take the total, 50.35, and subtract 19.95:

50.35 - 19.95 = 30.40

Now divide 30.40 by 3.80:

(30.4)/(3.8) = 8

Therefore, Tony bought 8 markers.

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If 5y - 8 < 12, what is the maximum possible value of 10y ?
LuckyWell [14K]

Answer: The maximum possible value of y is 30 ;)

3 0
3 years ago
In triangle ΔABC, ∠C is a right angle and CD is the height to AB . Find the angles in ΔCBD and ΔCAD if: Chapter Reference a m∠A
Strike441 [17]

Answer:

Given A triangle ABC in which

 ∠C =90°,∠A=20° and CD ⊥ AB.

In Δ ABC

⇒∠A + ∠B +∠C=180° [ Angle sum property of triangle]

⇒20° + ∠B + 90°=180°

⇒∠B+110° =180°

∠B =180° -110°

∠B = 70°

In Δ B DC

∠BDC =90°,∠B =70°,∠BC D=?

∠BDC +,∠B+∠BC D=180°[ angle sum property of triangle]

90° + 70°+∠BC D =180°

∠BC D=180°- 160°

∠BC D = 20°

In Δ AC D

∠A=20°, ∠ADC=90°,∠AC D=?

∠A +  ∠ADC +∠AC D=180° [angle sum property of triangle]

20°+90°+∠AC D=180°

110° +∠AC D=180°

∠AC D=180°-110°

∠AC D=70°

So solution are, ∠AC D=70°,∠ BC D=20°,∠DB C=70°





5 0
3 years ago
An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed
masya89 [10]

Answer:

P(X\leq 1) = 0.331

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

P(X = x) = \frac{y^xe^{-y}}{x!}

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

P(X\leq 1) = P(X=0) + P(X =1)

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}

P(X = 0) = \frac{1 * e^{-2.3}}{1}

P(X = 0) = e^{-2.3}

P(X = 0) = 0.10025884372

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}

P(X = 1) = \frac{2.3 * e^{-2.3}}{1}

P(X = 1) =2.3 * e^{-2.3}

P(X = 1) = 2.3 * 0.10025884372

P(X = 1) = 0.23059534055

P(X\leq 1) = P(X=0) + P(X =1)

P(X\leq 1) = 0.10025884372 + 0.23059534055

P(X\leq 1) = 0.33085418427

P(X\leq 1) = 0.331

Hence, the required probability is 0.331

6 0
3 years ago
Which of the following is the solution set to the inequality −25x+14&gt;20?
Bezzdna [24]

Answer:

Option C. x < -15

Step-by-step explanation:

<u><em>The correct inequality is</em></u>

-\frac{2}{5}x+14 >20

Solve for x

subtract 14 both sides

-\frac{2}{5}x+14-14 >20-14

-\frac{2}{5}x >6

Multiply by -1 both sides

\frac{2}{5}x < -6

Multiply by 5/2 both sides

x < -6(\frac{5}{2})

x < -15

8 0
3 years ago
The big desk in your boss's office is 75 inches long. How long is that in feet?
erma4kov [3.2K]
The answer is 6 feet 3 inches
7 0
3 years ago
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