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mezya [45]
3 years ago
13

Before making invitations, Katrina counted the supplies she bought for her party.

Mathematics
2 answers:
aleksandrvk [35]3 years ago
5 0
The GCF of 36 and 81 is 9

36/9 = 4 water balloons
81/9 = 9 beads

Katrina can invite 9 friends, with each getting 4 water balloons and 9 beads
ale4655 [162]3 years ago
3 0

Answer:

C. 9

Step-by-step explanation:

9 is the largest number that can fit into both 36 and 81 without a remainder.

You might be interested in
Find the indicated limit, if it exists.
kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

<u>Calculus</u>

Limits

  • Right-Side Limit:                                                                                             \displaystyle  \lim_{x \to c^+} f(x)
  • Left-Side Limit:                                                                                               \displaystyle  \lim_{x \to c^-} f(x)

Limit Rule [Variable Direct Substitution]:                                                             \displaystyle \lim_{x \to c} x = c

Limit Property [Addition/Subtraction]:                                                                   \displaystyle \lim_{x \to c} [f(x) \pm g(x)] =  \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}

<u>Step 2: Find Right-Side Limit</u>

  1. Substitute in function [Limit]:                                                                         \displaystyle  \lim_{x \to 5^+} 5 - x
  2. Evaluate limit [Limit Rule - Variable Direct Substitution]:                           \displaystyle  \lim_{x \to 5^+} 5 - x = 5 - 5 = 0

<u>Step 3: Find Left-Side Limit</u>

  1. Substitute in function [Limit]:                                                                         \displaystyle  \lim_{x \to 5^-} x + 3
  2. Evaluate limit [Limit Rule - Variable Direct Substitution]:                           \displaystyle  \lim_{x \to 5^+} x + 3 = 5 + 3 = 8

∴ Since  \displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)  , then  \displaystyle \lim_{x \to 5} f(x) = DNE

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Limits

5 0
2 years ago
A restaurant has 10 sodas that come in 12 different cup sizes. How many different drinks can you order?
uranmaximum [27]

Answer:

There are 120 different drinks that you can order.

Step-by-step explanation:

You have 10 options of soda for which you can choose.

For each options, there are 12 different cup sizes.

12*10 = 120

So there are 120 different drinks that you can order.

3 0
3 years ago
Find the inequality represented by the graph.
Simora [160]

Answer:

y < \frac{3}{4}x

Step-by-step explanation:

Since the line is dotted and shaded down that mean the sign is <.

The slope is rise over run or 3/4.

Since the line intercepts the y-intercept at (0,0) that means that the y-int is 0

So the full equation is y < 3/4 x

5 0
3 years ago
Amber wants to buy her chicken food for the entire year (52 weeks).the chickens eat 9 pounds of food a week. the food is package
ipn [44]

Answer:

19 bags

Step-by-step explanation:

52 x 9=468 pounds of food

468 / 25=18.72 or 19 bags

5 0
3 years ago
The line below has slope 4 and y-intercep
romanna [79]

Answer:

y=4x+3

y=-2x+3

Step-by-step explanation:

3 0
2 years ago
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