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Ahat [919]
2 years ago
14

An animal shelter spends $1.50 per day to care for each cat and $3.50 per day to care for each dog. Gianna noticed that the shel

ter spent $20.50 caring for cats and dogs on Tuesday. Gianna found a record showing that there were a total of 7 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday?
Mathematics
1 answer:
horrorfan [7]2 years ago
7 0

Answer:

2 cats were cared for

Step-by-step explanation:

c= cats

d=dogs

c+d =7

1.5c+3.5d=20.50

c+d =7

solve for d

d = 7-c

substitute into 1.5c+3.5d=20.50

1.5 c + 3.5 (7-c) = 20.50

distribute

1.5c +24.5 -3.5 c = 20.5

combine like terms

24.5 -2c =20.5

subtract 24.5 from each side

-2c = -4

divide by -2

c =2


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Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&
sesenic [268]

Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

Given the expression;

\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

Step 2: Subtract 15/3 from both sides

8/3 - 15/3 = 3c+15/3-15/3

(8-15)/3 = 3c

-7/3 = 3c

Step 3: Multiply both sides by 1/3

-7/3 * 1/3 = 3c * 1/3

-7/9 = c

Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

3 0
2 years ago
34.1 divided by what equals 22
allochka39001 [22]
I hope this helps you

3 0
2 years ago
Read 2 more answers
Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93
Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

M = \frac{a + b}{2}

The standard deviation of the uniform distribution is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniform distribution between 2.93 and 3.1 volts

This means that a = 2.93, b = 3.1. So

Mean:

M = \frac{2.93 + 3.1}{2} = 3.015

Standard deviation:

S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049

What is the probability that a battery has a voltage less than 2.98?

P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

6 0
2 years ago
I don’t understand...
Katarina [22]

Answer:

A

when you simplify the equation you get A

8 0
3 years ago
Which angles form a linear pair? AnglePRL and AngleLRM AngleORP and AngleMRN AngleMRN and AngleNRO AngleLRP and AngleORP
Andrew [12]

Answer: C (AngleMRN and AngleNRO)

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect. Two angles are linear if they are adjacent angles (angles next to each other) formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

AngleMRN and AngleNRO together is 180 degrees

I'm not very good at explaining but hope this helps ! :)

4 0
2 years ago
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