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krek1111 [17]
3 years ago
6

Kai worked a total of 30 hours last week on saturday and sunday he worked five times as many hours than he worked the rest of th

e week how many hours did he work the rest of the week
Mathematics
2 answers:
dalvyx [7]3 years ago
7 0
The answer is he worked 6 hours
djverab [1.8K]3 years ago
6 0
6 hours. 30 divided by 5 equals six
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Tell whether the angels are complementary or supplementary then find x
NNADVOKAT [17]

Answer:

Supplementary angles

x = 31

Step-by-step explanation:

Since, (3x + 25)° and 2x° are straight line angles. Therefore they are supplementary angles

(3x + 25)° + 2x° =180°

(5x + 25)° = 180°

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 155/5

x = 31

8 0
3 years ago
(100 points) Give a step by step explanation on how you solved this problem
Lina20 [59]
Use substitution
Given both y values, you know that they have to be equal

3x + 3 = x - 1
2x + 3 = -1
2x = -4, divide by 2
x = -2
Now plug x value into any of the equation to find y value
y = 3(-2) + 3
y = -6 + 3, y = -3

Solution: x = -2, y = -3
4 0
3 years ago
Read 2 more answers
2)<br> 8xy -- 3y + 2 ( 9x - 5y + 4 ) if x = 3, y = - 4
Scilla [17]

Answer:

8xy-3y + 2(9x-5y+4) = 18

Step-by-step explanation:

We need to find the value of the given expression:

8xy-3y + 2(9x-5y+4) ....(1)

when x = 3 and y = -4

Put the values of a and y in equation (1)

8×3×(-4)-3(-4)+ 2(9×3-5(-4)+4)

= -96 +12 + 2(27 + 20 +4)

= -84 + 2(51)

= -84 + 102

= 18

Hence, the value of the given expression is 18.

4 0
3 years ago
A randomized controlled study was designed to test whether regular drinking of cranberry juice can prevent the recurrence of uri
Kamila [148]

Answer:

1. The chi-squared statistic = 10.36

The degrees of freedom = 17

The p-value for the test = 0.89

2. The range of the p-value from the Chi squared table = 0.75 < p-value < 0.90

Step-by-step explanation:

1. The Chi squared test is given as follows;

\chi ^{2} = \sum \dfrac{\left (Observed - Expected  \right )^{2}}{Expected  }

Therefore,

                              UTI   No UTI    %     Total

Cranberry juice       8           42      84     50

Lactobacillus          19          30       61     49

Control                    18          30      60    50

The chi-squared statistic is given as follows;

\chi ^{2} = \dfrac{\left (8- 18\right )^{2}}{18} +  \dfrac{\left (42 - 30\right )^{2}}{30} = 10.36

The chi-squared statistic = 10.36

The degrees of freedom, df = 18 - 1 = 17 since the all of the expected count have a minimum value of 18

With the aid of the calculator we find the p value as p as follows;

p = 0.9 - \dfrac{10.36 - 10.085}{12.972 - 10.085} \times (0.9 - 0.75)

The p-value for the test = 0.89  

2. The range of the p-value from the Chi squared table is given as follows;

0.75 < p-value < 0.90.

5 0
3 years ago
A hostess earned a 5% tip. What decimal is equivalent to 5%?
4vir4ik [10]

Answer:

.05

Step-by-step explanation:

to get a percent, you multiply by 100. so take 5 and divide by 100 to get decimal

4 0
3 years ago
Read 2 more answers
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