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Papessa [141]
4 years ago
13

Mrs.Smith teaches junior high school. During a class party in fourth period, she used 4/5 liters of soda for 12 students. If she

had a class party in fifth period and used the same serving size, how many liters did she use for 30 students?
Mathematics
1 answer:
Ulleksa [173]4 years ago
4 0

Answer:

2 liters

Step-by-step explanation:

we have

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For the right triangle find the missing length. Round your answer<br> to the nearest tenth.
monitta

Answer:

4

Step-by-step explanation:

w = 4 units

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Emily drove 328 miles in 8 hours. If she drove at a constant rate, how far did she
kotykmax [81]
I’m pretty sure the answer is that she traveled 41 miles per hour

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Sue has an annual interest income of $3390 from two investments. She has $10,000 more invested at 8% than she has at 6%. Find th
olchik [2.2K]

Answer:

  $18500 at 6% and $28500 at 8%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then x+10000 is the amount invested at 8%. The total income from the two investments is the sum of the products of the amount invested and the interest rate:

  x·6% +(x+10000)·8% = 3390

  0.14x + 800 = 3390 . . . . . . . . collect terms

  0.14x = 2590 . . . . . . . . . . . . . .subtract 800

  2590/0.14 = x = 18500 . . . . . divide by the coefficient of x

Sue has invested $18500 at 6% and $28500 at 8%.

7 0
4 years ago
From the information given, determine which triangles, if any, are congruent and state by which rule. If the triangles cannot be
cluponka [151]
<h2>Answer:</h2>

Triangles ΔADM and ΔUTM are congruent by SAS postulate.

<h2>Step-by-step explanation:</h2>

We say that two triangles are congruent<em> </em> <em>if and only if </em> they have exactly the same three sides and exactly the same three angles. So if you can turn one triangle into the other by moving, rotating or flipping, then they are definitively congruent. The symbol we use for expressing congruency is ≅. Since triangles ΔADM and ΔUTM have two matching sides and a matching angle between them, then they are congruent by SAS Postulate (Side Angle Side). Then:

ΔADM ≅ ΔUTM

8 0
3 years ago
Courtney is ordering nachos at a restaurant, and the server tells her that she can have up to three toppings: pico de gallo, oni
aalyn [17]

Answer:

Probability = \frac{1}{9}

Step-by-step explanation:

Given

Toppings: Pico de gallo, Onions and Steak

Required

The probability of getting Onions and Steak

The probability is calculated using:

Probability = P(Onion)\ and\ P(Steak) --- because the events are independent

P(Onion) = \frac{n(Onion)}{Total}

P(Onion) = \frac{1}{3}

P(Steak) = \frac{n(Steak)}{Total}

P(Steak) = \frac{1}{3}

So, we have:

Probability = P(Onion)\ and\ P(Steak)

Probability = P(Onion)\ *\ P(Steak)

Probability = \frac{1}{3} * \frac{1}{3}

Probability = \frac{1}{9}

3 0
3 years ago
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