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lawyer [7]
3 years ago
8

An animal shelter spends $3.00 per day to care for each cat and $8.50 per day to care for each dog. Nathan noticed that the shel

ter spent $109.00 caring for cats and dogs on Tuesday. Nathan found a record showing that there were a total of 18 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday?
Mathematics
1 answer:
professor190 [17]3 years ago
7 0
$3.00x + $8.50x
$109.00: Tuesday
18 cats and dogs

8 cats and 10 dogs

3(8) + 8.50(10)
24 + 85
$109 

8 cats were at the shelter on Tuesday
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Luis is a professional musician.He needs to
Deffense [45]

Step-by-step explanation:

The following prices for the same make  and model used guitar for his work are :

$699.20,$700.30,$680.50,$700.30, and  $800.25.

Mean of ungrouped data = sum of observations/total no of observations

\text{Mean}=\dfrac{699.20+700.30+680.50+700.30+800.25}{5}\\\\\text{Mean}=\$716.11

For median, arrange the given data in ascending order.

$680.50, $699.20, $700.30, $700.30, $800.25

Median = middle value

Median = $700.30

The value that comes most often is called mode.

$700.30 comes two times. So, mode is $700.30

Hence, Mean = $716.11, median = $700.30 and mode = $700.30

5 0
3 years ago
Which cream cheese has the lowest price per ounce?
kotykmax [81]

Answer:

its b

Step-by-step explanation:

i did this

8 0
3 years ago
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For each container of tea, McKenzie uses 16 tea bags and 3 cups of sugar. If McKenzie uses 64 tea bags, how many cups of sugar w
cestrela7 [59]
So tis is a ratio  16 is to 3 or 16:3
if use 64 tea bags then how many cups of sugar so
turn 16:3 into fraction
16:3=16/3 or 3/16, it doesn't matter
then you want to find 64:x or 64/x or x/64

we know that 16/3=64/x because it tis an equivalent ratio
so 16/3=64/x
multiply both sdies by (3 times x)
16 times x times 3/3=64 times 3 times x/x
16 times x=64 times 3
16x=192
divide both sdies by 16
x=12
theanswer is 12 cups of sugar
5 0
3 years ago
F(x) = x2 − x − ln(x) (a) find the interval on which f is increasing. (enter your answer using interval notation.) find the inte
Mekhanik [1.2K]

Answer:

(a) Decreasing on (0, 1) and increasing on (1, ∞)

(b) Local minimum at (1, 0)

(c) No inflection point; concave up on (0, ∞)

Step-by-step explanation:

ƒ(x) = x² - x – lnx

(a) Intervals in which ƒ(x) is increasing and decreasing.

Step 1. Find the zeros of the first derivative of the function

ƒ'(x) = 2x – 1 - 1/x = 0

           2x² - x  -1 = 0

     ( x - 1) (2x + 1) = 0

         x = 1 or x = -½

We reject the negative root, because the argument of lnx cannot be negative.

There is one zero at (1, 0). This is your critical point.

Step 2. Apply the first derivative test.

Test all intervals to the left and to the right of the critical value to determine if the derivative is positive or negative.

(1) x = ½

ƒ'(½) = 2(½) - 1 - 1/(½) = 1 - 1 - 2 = -1

ƒ'(x) < 0 so the function is decreasing on (0, 1).

(2) x = 2

ƒ'(0) = 2(2) -1 – 1/2 = 4 - 1 – ½  = ⁵/₂

ƒ'(x) > 0 so the function is increasing on (1, ∞).

(b) Local extremum

ƒ(x) is decreasing when x < 1 and increasing when x >1.

Thus, (1, 0) is a local minimum, and ƒ(x) = 0 when x = 1.

(c) Inflection point

(1) Set the second derivative equal to zero

ƒ''(x) = 2 + 2/x² = 0

             x² + 2 = 0

                   x² = -2

There is no inflection point.

(2). Concavity

Apply the second derivative test on either side of the extremum.

\begin{array}{lccc}\text{Test} & x < 1 & x = 1 & x > 1\\\text{Sign of f''} & + & 0 & +\\\text{Concavity} & \text{up} & &\text{up}\\\end{array}

The function is concave up on (0, ∞).

6 0
3 years ago
If LM = MK, LK =7x-10, KN = x+3, MN = 9x-11, and KJ =28, find LJ
marusya05 [52]

Answer:


Step-by-step explanation:

Suppose J, K, L, M, N are points on the same line.


MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14


Since LK = MK and LK = 7x - 10, then


7x - 10 = 8x - 14


8x - 7x = -10 + 14


x = 4


LJ = MK + KJ


MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18


LJ = 18 + 28 = 46


Read more on Brainly.com - brainly.com/question/5067118#readmore

8 0
3 years ago
Read 2 more answers
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