An animal shelter spends $2.35 per day for each cat and $5.50 per day to care for each dog. Pat noticed that the shelter spent $89.50 caring for cats and dogs on Wednesday. (A) write an equation to represent the possible numbers of cats and dogs that could have been at the shelter on Wednesday. (b) pat said that there might have been 8 cats and 14 dogs at the shelter on Wednesday. Are pats numbers possible? Use your equation to verify your answer

Answers

Answer 1

Lets use the letter C to represent cats and D to represent dogs.

A) 2.35c + 5.50d = 89.50

For B, they give you numbers to plug into your equation.
c = 8
d= 14

B) 2.35(8) + 5.50(14) = 89.50
18.80 + 77.00 = 95.80

So what Pat said is incorrect because that would mean they spent more than 89.50.

Hope this helps! :)

Related Questions

2% of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle School. How many students at Hamilton Middle School have red hair?

Answers

2% = 0.02

700 * 0.02 = 14

14 students have red hair

Answer:

There are 14 students at Hamilton Middle School having red hair.

Step-by-step explanation:

The total number students at Hamilton Middle School is 700. And it has been given that 2% of the total number of students have red hair.

Hence, in order to find the number of students having red hair, we can find 2% of 700.

[tex]\text{Number of student having red hair}=0.02\times 700\\=14[/tex]

Therefore, 14 students at Hamilton Middle School have red hair.

Gabriela works at a nearby electronics store. She makes a commission of 14\%14%14, percent on everything she sells. If she sells a camera for \$589.00$589.00dollar sign, 589, point, 00, how much money does Gabriela make in commission?

Answers

Given that Gabriela makes a commission of 14% on everything that she sells.

If she sells a camera for $589.00, her commission will be 14% of $589.00 = 0.14 x $589 = $82.46

Therefore, Gabriela will make $82.46 in commission.

A car rents for $35 per day plus 21 cents¢ per mile. if x represents the number of miles jorge drives per day, 35 plus+0.21x represents the cost of the rental. if jorge has $98 to spend for the daily car rental, what is the maximum number of miles he can travel per day

Answers

first thing you do is subtract 35 from 98 that will give you 63 then divide 63 by .21 which then gives you 300 miles

Final answer:

With a daily budget of $98 for car rental, where the rental costs $35 per day plus 21 cents per mile, Jorge can drive a maximum of 300 miles per day.

Explanation:

If Jorge has $98 to spend for the daily car rental, where the cost comprises a fixed charge of $35 and 21 cents per mile, we use the equation 35 + 0.21x = 98 to find the maximum number of miles he can travel per day, with x representing the number of miles. Subtracting 35 from both sides of the equation gives us 0.21x = 63. Dividing both sides by 0.21 yields x = 300. Therefore, Jorge can drive a maximum of 300 miles per day within his budget.

A diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descendants. How far should she travel in each descent?

Answers

She should travel 100/5 = 20 feet in each descent.

divide total distance by the number od descents they want to do it in

100 / 5 = 20

so each one should be 20 feet

For a triangle. Find the measure of angle 1 when the other 2 angles are 117 and 33.

A. 30°

B. 33°

C. 57°

D. 63°

Answers

Answer:

It is 30 exactly um. yes or no

Jenny had $17 more than susan, and together they had enough money to buy a game for $93 and to have a pizza for $6. how much money did susan have? answer

Answers

The total amount of money that Jenny and Susan spent is the sum of the money spent for the games and pizza. That is,
T = $93 + $6 = $99

We let x be the amount that Susan has. With this representation, the amount of money that Jenny has is x + 17. The equation that would represent this situation is,
x + 17 + x = 99
The value of x from the equation is 42.

ANSWER: $42.

One cubic foot is equal to 144 cubic inches.
true
false

Answers

False

A cubic foot would be 12 x 12 x 12 = 1728 cubic inches

The difference of a number x and 1/2

Answers

Work:
Difference (-)
Of x and 1/2
Answer: x-1/2

The required equation is x - 1/2 .

It is required to find the equation.

What is algebra?

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

According to given question we have,

The difference of a number x and 1/2 is

x - 1/2

Therefore, the required equation is x - 1/2 .

Learn more details about algebra here:

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How do you write in numbers a hundred and one thousand dollars?

Answers

You write it as $101,000.

To write 'a hundred and one thousand dollars' in numbers, combine the place values to get $101,000. The number 101 represents 'one thousand' plus 'one hundred,' followed by 'thousand,' which is represented by three zeros after 101.

Writing 'a hundred and one thousand dollars' in numbers involves understanding the place value of numbers and how to represent large numbers. In the decimal number system, the place values increase as powers of 10 from right to left, starting with the 1's place, 10's place, 100's place and so on. When dealing with large numbers, we use the powers of 1000, such as thousand (103), million (106), and billion (109).

To write 'a hundred and one thousand dollars' in numbers, you would write $101,000. Here, 'hundred' refers to the 100's place, and 'one thousand' refers to the 1,000's place. Therefore, you have one thousand plus one hundred, which is '101' followed by the 'thousand' represented by three zeros to make 101,000. When writing amounts in dollars, you use the dollar sign '$' in front of the number.

It's essential to remember that when expressing large numbers in written form, no apostrophes are used for the plurals. Also, in general, we use numerals to express numbers 10 and above, which helps in clarity and readability, especially when dealing with money or scientific notation.

Evaluate 6j+23+k when j=3, k=7, and l=33.
______
l−3,
SOLVED IT IT"S 19!

Answers

hello :
j=3, k=7, and l=33
(6j+23+k)/ (l−3) = (6(3)+23+7)/(33-3) = 48/30 =8/5

Its 19 bro.

Hope this helps

~Onyx~

Kyle works at a nature observatory where they are tracking a bird's speed. He enters the distance the bird flies into cell A1 and the time it took into cell A2. Which formula should Kyle use? =A1*A2 =A1/A2 =A1*(A2+ A1) =A1+A2

Answers

a1*a2 hope this helps you :)))

Answer:

[tex]\frac{A1}{A2}[/tex]

Step-by-step explanation:

We are give that the distance travelled by the bird is A1.

And the time taken to fly this distance is A2.

Now we will find the speed with the formula mentioned below:

[tex]Speed=\frac{Distance}{time}[/tex]

Replacing Distance as A1 and Time as A2. We get speed of the bird as

[tex]\frac{A1}{A2}[/tex]

Solve the equation. (find only the real solutions. enter your answers as a comma-separated list.) x4 − 7x2 6

Answers

Can you phrase the question correctly? Do you mean x^4 - 7x^2 + 6?

A class has 12 boys and 18 girls. the class as a whole has a gpa (grade point average) of 2.88, and the boys have a gpa of 2.52. what is the gpa of the girls?

Answers

3.12 First, write an equation to express what you know. g = number of girls b = number of boys b * 2.52 + g * x = 2.88(b+g) Solve for x, first substitute known values for g and b 12 * 2.52 + 18 * x = 2.88(12+18) Add and multiply what you already know 30.24 + 18x = 86.4 Subtract 30.24 from both sides 18x = 56.16 Divide both sides by 18 x = 3.12 Therefore the GPA of the girls is 3.12

Why is it not reasonable to say that 4.23 is less Than 4.135 because 4.23 Has fewer Digits After The decimal Point Than 41.35?

Answers

No because 4.23 is more than 4.135

It’s not reasonable to say that 4.23 is less than 4.135 because if you would round 4.135 to the nearest 10th it would be 4.14 and 4.23 is larger than 4.14. Example- 4.135< 4.23

What is the value of the dependent variable if the value of the independent variable is –1?
f(x) = 8x^5+2x

A. –10
B. 6
C. –6
D. 10

Answers

X=-1
F(x) =8(-1)^5+2(-1)
=-8-2=-10

Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits all together, how many of each did she buy.

Answers

she bought 15 bags of dried apples and 8 bags of dried apricots

Becky bought 6 dried apples and 4 dried apricots if Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits altogether.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Becky bought seven more packages of dried apples than dried apricots.

Let x be the number of dried apples

Let y be the number of dried apricots

x = y + 7

She bought fifteen of these two fruits all together

x + y = 15

The above two equation represents the linear equation in two variables, solving the linear equation in two variables by the substitution method:

y + 7 + y = 15

2y = 15 - 7

2y = 8

y = 8/2

y = 4

x = 4 + 2 = 6

Thus, Becky bought 6 dried apples and 4 dried apricots if Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits altogether.

Learn more about the linear equation here:

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EASY QUESTION PLEASE HELP ME!!!!!!!!

A home run hit in a professional baseball game was measured to have traveled a distance of 8.5×10^−2 miles.

Which unit of measurement is most appropriate to measure this distance?

kilometers
centimeters
inches
feet

Answers

Answer:- D is the right answer. 'Feet' is most appropriate unit to measure this distance.

Explanation:-

Given distance =.

[tex]=8.5\times10^{-2}\text{ miles}=\frac{8.5}{100}\text{ miles}=0.085\text{ miles}[/tex]

We know that the units of length near to the mile is kilometers and feetsuch that 1 mile = 1.6093 km

1 mile = 5280 feet

Thus 'feet' is most appropriate unit to measure this distance.

Then the given distance[tex]=0.085\text{miles}=0.085\times5280\text{ feet}=448.8\text{ feet}[/tex]

There is 1 in. of water in a pool. The water level is increasing at 0.75 in./min . Which linear equation represents the total depth of the water, in inches, after x minutes?
y=0.75x
1+y=0.75x
y=0.75x+1
x=0.75y

Answers

y = 0.75x + 1 <=== ur equation

Let

x-------> the time in minutes

y------> the water level in inches

we know that

the slope of the linear equation is equal to

[tex]m=0.75\frac{in}{min}[/tex]

The y-intercept is the value of y when the value of x is equal to zero

In this problem the y-intercept is equal to

[tex]b=1\ in[/tex]

the equation of the line in the slope-intercept form is equal to

[tex]y=mx+b[/tex]

substitute the values

[tex]y=0.75x+1[/tex]

therefore

the answer is

[tex]y=0.75x+1[/tex]

Point (w, z) is transformed by the rule (w+5, z). What type of transformation occurred?

a) a translation of 5 units to the left
b) a translation of 5 units down
c) a translation of 5 units to the right
d) a translation of 5 units up

Answers

I wanna say it is C, a translation of five units to the right.

A watermelon seed is 0.4cm long. How far would a line of 124 watermelon seeds stretch? Write your answer in meters.

Answers

distance stretched = 0.4 * 124 = 49.6 cms

converting to meters we divide by 100:-

Answer is 0.496 meters

Put 1/2 1.1 5/3 20 0.4 -2 and 5/8 in order

Answers

The least to greatest order is as follows:
-2, 0.4, 1/2, 5/8, 1.1, 5/3, 20
If you want greatest to least, just reverse it.

Hope this helps! :>

-2, 0.4, 1/2, 5/8, 1.1, 5/3, 20

Which of these is the distance from the head of the piston not including any dishes or domes to the deck surface of the engine block?

Answers

Uh, you have to include an image if it involves one, in order for this to be answered properly.

Subtract.

(5x^2−3x−2)−(−2x^2−x+10)

Express the answer in standard form.

Answers

5x²-(-2x²) = 7x²
(-3x)-(-x) = (-3x+x)=-2x
(-2)-(10)=-12
7x²-2x-12

Final answer:

To subtract two polynomials, change the sign of the second polynomial and combine like terms. The result of subtracting (5x^2-3x-2) and (-2x^2-x+10) is 7x^2 - 2x - 12.

Explanation:

To subtract the given polynomials, (5x^2−3x−2) and (−2x^2−x+10), we need to change the sign of each term in the second polynomial and then combine like terms with the first polynomial. This is similar to subtracting negative numbers, where subtraction turns into addition when the number being subtracted is negative.

The subtraction process step-by-step is as follows:

Change the signs of the second polynomial: +2x^2 + x - 10

Add the results to the corresponding terms in the first polynomial:

5x^2 + 2x^2 = 7x^2

−3x + 1x = −2x

−2 − 10 = −12

So the answer to the subtraction in standard form is 7x^2 − 2x − 12.

The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?

Answers

The vertex of this function is ( -5 , 41)

x=−5; y=−(−5)2−10(−5)+16

y= −25+50+16 = −25+66 = 41

Vertex (−5,4)

What is m∠PTS? ??????????

Answers

The answer that I got was 15.

You start by setting the angles equal to each other, because they are verticle angles. You then distribute 11 to get 11y + 110 = 4y - 5.

You then just have to simplify, which I got -105 = -7y.

You can multiply each side by -1 to make them positive and divide 7 by 105 to get 15.

That most be your answer : 15

A rectangle is no more than six inches wide, and its perimeter measures 28 inches. At least how long is the rectangle?

Answers

Hello,

Assume w the wide and l the length of the rectangle.

w<6 (1)
2l+2w=28==>l+w=14==>w=14-l

(1)==> 14-l<6
==>14-6<l
==>l>8

You put $150 in a bank account that offers a 1% interest rate, compounded annually. How much will you have after 10 years?

Answers

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$150\\ r=rate\to 1\%\to \frac{1}{100}\to &0.01\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years\to &10 \end{cases} \\\\\\ A=150\left(1+\frac{0.01}{1}\right)^{1\cdot 10}[/tex]

Write the equation of the line that is parallel to 2x=1-3y and passes through (9,4).

Answers

2x=1-3y
3y = -2x + 1
y = -2/3x + 1/3
so slope = -2/3

parallel lines, same slope so slope is also equal -2/3
passes through (9,4)
y = mx + b
b = y - mx
b = 4 - (-2/3)(9)
b = 4 +6
b = 10

equation
y = -2/3(x) + 10

The relationship between parallel lines is that they have the same slope. The equation of the line that is parallel to [tex]2x = 1 - 3y[/tex] and passes through (9,4) is [tex]y=\frac 23x -2[/tex]

Given that:

[tex]2x = 1 - 3y[/tex]

First, we make y the subject

[tex]2x - 1 = 3y[/tex]

Divide both sides by 3

[tex]y = \frac 23x - \frac 13[/tex]

A linear equation is represented as:

[tex]y = mx + b[/tex]

Where:

[tex]m \to slope[/tex]

So, by comparison:

[tex]m = \frac 23[/tex]

Parallel lines have the same slope.

So the slope of the line that passes through (9,4) is [tex]m = \frac 23[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where:

[tex]m = \frac 23[/tex]

[tex](x_1,y_1) = (9,4)[/tex]

So, the equation becomes:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = \frac 23(x - 9) + 4[/tex]

Expand

[tex]y = \frac 23x - 2 \times 3+ 4[/tex]

[tex]y=\frac 23x - 6 + 4[/tex]

[tex]y=\frac 23x -2[/tex]

Hence, the equation of the line that is parallel to [tex]2x = 1 - 3y[/tex] and passes through (9,4) is [tex]y=\frac 23x -2[/tex]

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Marianna buys a snack combo for 2.50 if the sales tax rate is 8% what is the total price of the combo including tax

Answers

I think it would be $2.70 ?

Find the mean of the data set. if necessary, round to the nearest tenth 18.1, 17.9, 16.8, 18.7, 15.1

Answers

you are supposed to add all of those numbers and then divide by how many ever numbers there are.

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