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Natalija [7]
4 years ago
7

Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked rhours while Tina worked thours

. Rita also
worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of

both Rita and Tina?
Mathematics
1 answer:
ivann1987 [24]4 years ago
3 0

Answer:

Step-by-step explanation:

The amount that Rita and Tina each make per hour working as cashiers at a supermarket is $11.

Last week, Rita worked r hours. It means that the amount that Rita made last week, working for r regular hours is 11r. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. It means that the total amount earned by Rita last week was

11r + 32

Last week, Tina worked for t hours. It means that the amount earned by Tina last week was 11t

The expression representing the total weekly wages of both Rita and Tina is

11r + 32 + 11t

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What is 118/13 = 59/z?
gulaghasi [49]
If you're finding the value of z, z would equal 13/2 or 6.5
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Let X be a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal prob
Akimi4 [234]

Answer:

Yes. Have the same distribution.

Step-by-step explanation:

Given that X is a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal probabilities).

Y is the next day after X

So Y can be written as X+1

But since highest value is 7, we can write

Y = X+1 mod 7

i.e. whenever X=7, Y= 8= 1 again.

Thus Y can take values as

Y  1   2   3   4   5   6   7

P(Y) = P(X+1) = 1/7

i.e. Y also has the same distribution as X

3 0
3 years ago
How long does it take an SR-71 Blackbird to make a surveillance run of 10,026 miles if it travels at an average of 2,228 mph
g100num [7]
This is simple division:
t = \frac{10026}{2228}

So, plug it into your calculator and you get:
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4 0
3 years ago
16^3x+8^x+6<br><br>Could you please give me the steps as well for this problem? ​
BARSIC [14]

Answer:

x = 2

Step-by-step explanation:

16^{3x} = 8^{x+6} \\2^{4(3x)} = 2^{3(x+6)} --> (16 = 2^{4} and 8 = 2^{3} )

2^{12x} = 2^{3x+18}

Since the base number is 2, the exponents must equal each other.

So:

12x = 3x+18

9x = 18

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8 0
3 years ago
Expand the given power by using Pascal’s triangle. (9a - 10b)^6
xxMikexx [17]

Answer:

531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

Step-by-step explanation:

                     1                                n=0

                  1      1                            n=1

                 1   2   1                           n=2

                1  3  3  1                          n=3

              1  4  6  4   1                      n=4

             1  5 10 10 5  1                    n=5

           1 6 15 20 15 6 1                   n=6

This is where n is the exponent in

(x+y)^n.

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

Now we want to expand:

(9a-10b)^6 or we we can rewrite as (9a+(-10b))^6.

Let's replace x with (9a) and y with (-10b) in the expansion:

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

((9a)+(-10b))^6

=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6

Let's simplify a bit:

=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6

=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

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4 years ago
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