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Xelga [282]
2 years ago
14

An animal shelter has 5 times as many cats as it has dogs. There are 75 cats at the shelter. If d= the number of dogs, which mat

hematical sentence expresses the information above? A. 5d=75 B. d/5=75 C. d/75=5 D. 75d=5
Mathematics
2 answers:
KiRa [710]2 years ago
7 0

Answer:

<h2>A. 5D=75</h2>

Step-by-step explanation:

To solve this problem, we have to translate this to equations.

<h3>5 times as many cats as it has dogs:</h3>

C=5D

That is, there are 5 times more cats than dogs, or the number of cats is five times than the number of dogs.

<h3>There are 75 cats.</h3>

C=75

<h3>Therefore, the expression would be</h3>

75=5D \ or \ 5D=75

Cerrena [4.2K]2 years ago
3 0
A. 5d=75
5 cats = 1 dog; 75 cats = d





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Find the area of a circle with a circumference of 12.56 units
vagabundo [1.1K]

Answer:

a = 157.7536pi

Step-by-step explanation:

area = pi*circumference²

a = pi*12.56² = 157.7536*pi

however, if pi just equals 3.14:

probably around 495.346304

6 0
3 years ago
Read 2 more answers
Place the following in order from least to greatest. 8,000,000 mm, 5 km, 7000,000 cm, 6,000 m
Nutka1998 [239]

Answer: 5km, 6000m, 8,000,000 mm, 7000000 cm

Step-by-step explanation:

Note that:

1km = 1,000,000mm

1m = 1000mm

1cm = 10mm

Therefore,

5 km = 5 × 1,000,000mm = 5,000,000mm

7000,000 cm = 7,000,000 × 10 = 70,000,000mm

6,000 m = 6000 × 1000 = 6,000,000mm

Therefore, from the least to the greatest will be:

5km, 6000m, 8,000,000 mm, 7000000 cm

5 0
3 years ago
Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t
LiRa [457]

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6)  =\dfrac{20}{36}

The probability distribution of this event is given as follows.

\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|

First, we determine the expected Value of this event.

Expected Value

=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning  =\dfrac{20}{36}

If the game is played 100 times

Number of times expected to win

=\dfrac{20}{36} \times 100\\=56$ times

Therefore, number of times expected to loose

= 100-56

=44 times

8 0
3 years ago
What is the area of a regular pentagon with 7 inch sides and an apothem of 3.9 inches?
Marrrta [24]
A(n)=(ns^2)/(4tan(180/n)) in this case:

a=(5*49)/(4tan36)

a=84.3in^2
8 0
3 years ago
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FrozenT [24]

Answer:  \dfrac{61}{97}

Step-by-step explanation:

Let V = Event of selecting vegetarian employee

N =  Event of selecting employee who owns a Nissan Leaf.

Given: Total employees = 97

n(V) = 31

n(N) = 36

n(N and V) = 6

By formula,

n(N or V) = n(V) + n(V) - n(N and V)

= 31+36-6

=61

By probability formula,

P(N \ or \ V)=\dfrac{n(N\ or\ V)}{Total }\\\\=\dfrac{61}{97}

Hence, the probability that the employee is vegetarian or that she/he owns a Nissan Leaf =  \dfrac{61}{97}

8 0
3 years ago
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