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notka56 [123]
3 years ago
6

Cary works 5 days a week in a nursing home. Her weekly

Mathematics
1 answer:
Oliga [24]3 years ago
7 0

Answer:£769.5

Step-by-step explanation: 2.25 x 5 = 11.25 11.25 + 5.25 = 16.5. 786 - 16.5= £769.5

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In January 2015, the price of gas was on average $2.95 per gallon. This was $1.38 cheaper than a year before. What is the percen
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The cabin is worth $730,000. John paid $468,475.00, Sissy paid $251,525.12.
charle [14.2K]
John owns 64.17 percent (rounded to 64%). Sissy owns 34.45 percent (rounded to 34% or 34.5%).
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Given two 2x3 (2 rows, 3 columns) arrays of integer , x1 and x2, both already initialized , two integer variables , i and j, and
user100 [1]

Answer:

x1Rules=true;

for (i=0; i<2; i++)

for (j=0; j<3; j++)

if (x1[i][j] <= x2[i][j])

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The code is written above .

4 0
3 years ago
Kevin runs 8 miles in 84 minutes. At the same rate, how many minutes would he take to run 6 miles?
netineya [11]

Kevin runs:

8 miles -- 84 minutes;

6 miles -- x minutes.

Write a proportion:

\dfrac{8}{6}=\dfrac{84}{x}.

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Answer: it takes him 63 minutes to run 6 miles

3 0
3 years ago
The expression x3 + ax2 – 15x + b has a factor x – 2 and leaves a remainder of 75 when divided by x + 3. Find the value of a and
Deffense [45]

the polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r). In particular, x-r is a divisor (= a factor) of f(x), if and only if f(r)=0.

first we are dividing by x - 2.

so, r = 2.

as this is a factor, the remainder must be 0.

so,

0 = f(2) = 2³ + a2² - 15×2 + b = -22 + 4a + b

22 = 4a + b

then we divide by x + 3.

so, r = -3.

and the remainder is 75.

so,

75 = f(-3) = (-3)³ + a×(-3)² - 15×-3 + b = 18 + 9a + b

57 = 9a + b

now we have 2 equations with 2 variables to solve.

and since one term (+b) is the same in both equations, we use a little trick to subtract the first from the second equation.

57 = 9a + b

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---------------------

35 = 5a + 0

a = 7

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a = 7

b = -6

4 0
3 years ago
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