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GaryK [48]
2 years ago
15

Carrie is planning her birthday party at a restaurant. She cannot spend more than $75 on the party. The cost per person for the

meal is $12. There is also a $10 charge for the room. The number of friends, f, that Carrie can invite is represented by the inequality 12f + 10 < 75. How many friends can Carrie invite to the party if her budget is $75 or less?
Mathematics
2 answers:
katen-ka-za [31]2 years ago
5 0

Answer:

Carri can invite 5 friends to her birthday party

Step-by-step explanation:

abruzzese [7]2 years ago
4 0

Answer:

carrie can invite 5 friends with some money left over

Step-by-step explanation:

12f+10<75

12f<75-10     *carry the 10 over

12f<65           *simplify

f<65/12        *carry the 12 over

f<5.42         *simplify

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How to decompose a rectangle into two or three smaller rectangles to demonstrate the distributive property?
koban [17]

Answer:

See explanation

Step-by-step explanation:

The distibutive property states that for all real numbers a, b and c

(a+b)c=ac+bc

Draw a rectangle with length of (a+b) units and width of c units. The area of this rectangle is

(a+b)c\ un^2.

Divide this rectangle into two rectangles: first rectangle with the length of a units and the width of c units and the second rectangle with the length of b units and the width of c units. The area of these rectangles are

a\cdot c\ \text{and}\ b\cdot c

These two rectangles together form initial rectangle, so the sum of the area of two smaller rectangles is the area of the bigger rectangle.

5 0
2 years ago
Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs. This situati
stira [4]

Answer:

(3,6)

Step-by-step explanation:

Given that Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs.

This situation can be represented with a linear equation written in slope-intercept form,  as

y=2x

where 'x' represents the number of minutes and,

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Since y intercept is 0 i.e. 0 paras in 0 minutes we have the equation as

y=2x

Since no of minutes or paragraphs cannot take negative values this line is defined only in the I quadrant where both x and y are positive

Out of the points given as follows:

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Consider  (3,6) (2,3)

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y=2x

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8 0
2 years ago
Read 2 more answers
A bin of 5 transistors is known to contain 2 that are defective. The transistors are to be tested, one at a time, until the defe
xxMikexx [17]

Answer:

P(N_1 = a , N_2 = b)= \frac{1}{5-a C 1} * \frac{5-a C 1}{5C2} = \frac{1}{5C2}=\frac{1}{10}

Step-by-step explanation:

For the random variable N_1 we define the possible values for this variable on this case [1,2,3,4,5] . We know that we have 2 defective transistors so then we have 5C2 (where C means combinatory) ways to select or permute the transistors in order to detect the first defective:

5C2 = \frac{5!}{2! (5-2)!}= \frac{5*4*3!}{2! 3!}= \frac{5*4}{2*1}=10

We want the first detective transistor on the ath place, so then the first a-1 places are non defective transistors, so then we can define the probability for the random variable N_1 like this:

P(N_1 = a) = \frac{5-a C 1}{5C2}

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And if we want to find the joint probability we just need to do this:

P(N_1 = a , N_2 = b) = P(N_2 = b | N_1 = a) P(N_1 =a)

And if we multiply the probabilities founded we got:

P(N_1 = a , N_2 = b)= \frac{1}{5-a C 1} * \frac{5-a C 1}{5C2} = \frac{1}{5C2}=\frac{1}{10}

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butalik [34]

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Answer:

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