The Fort Worth Zoo had 6,195 visitors last week. The zoo is open seven days a
week. If about the same number of people attended the zoo each day, use
compatible numbers estimate the number of people attending on one day.
Record your answer in the griddable.
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equation:
[tex]7N = 6195[/tex]
where [tex]N[/tex] is the number of people that would show up to the zoo on a given day.
Dividing both sides by 7 will give us the answer:
[tex]N = 885[/tex]
To estimate the number of visitors at the Fort Worth Zoo per day, we rounded the total weekly visitors to 6,200 and divided by 7. An estimated average daily attendance is about 880 visitors.
To estimate the number of people attending the Fort Worth Zoo on one day last week, we can divide the total number of visitors by the number of days the zoo is open.
We have a total of 6,195 visitors and the zoo is open 7 days a week. Since we are using compatible numbers, we can round 6,195 to the nearest hundred to get 6,200.
Now, we divide 6,200 by 7.
It can be tricky to divide by 7, so let's simplify. We know that 7 times 900 is 6,300, which is slightly more than 6,200.
Thus, we can estimate a bit lower. 7 times 800 is 5,600, which is too low, so we need a number between 800 and 900.
If we try 7 times 850, we get 5,950, which is still low but much closer.
Therefore, an estimate between 850 and 900 for the average daily attendance would be reasonable.
To be more precise, let's pick 880 as a compatible number which when multiplied by 7 gives us 6,160, very close to our rounded number of 6,200.
Hence, approximately 880 visitors attended the zoo each day last week.
Solve for x:
2.9−x=0.29
Answer:
2.61
Step-by-step explanation:
You have to subtract 2.9 to 0.29 because it is a positive number and you have to do the opposite. That will give you -2.61 but you still have to bring down that negative x and to get rid of the negative, you divide both sides by one since there is an understood one beside the x and a number beside another number or variable means multiplication and that will give you, 2.61.
Solving for x in 2.9−x=0.29 is a simple algebraic operation that involves adding x to both sides of the equation to cancel it on the one side and then subtracting 0.29 from both sides to find x = 2.61.
Explanation:To solve for x in the equation 2.9−x=0.29, you'll need to think about it in terms of moving pieces from one side of the equal sign to the other. Therefore, if we add x to both sides of the equation, it cancels out the variable on the left. So, we have 2.9 = x + 0.29. After that, to isolate x on one side, subtract 0.29 from both sides and we end up with x = 2.9 - 0.29. When we calculate it, we get x = 2.61.
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If you have agreed to shovel 10 driveways in your neighborhood, how long will it take for you and your friend to complete the work?
Answer:
divide 10 by two
Step-by-step explanation:
easy
To determine the time required to shovel 10 driveways, additional details such as the time for one person to shovel one driveway are needed. The method of snow removal, collaboration efficiency, and driveway conditions are key factors affecting the duration.
To determine how long it will take for you and your friend to shovel 10 driveways, we need more information about the time it takes for one driveway to be shoveled by one person. Since this information is not provided, I cannot give a precise answer. However, I can discuss the factors that will affect the time required to complete the work, including the method of snow removal used, the size and condition of the driveways, the amount of snowfall, and the efficiency of you and your friend while working together.
If using hand shovels, snow blowers, or a pickup truck with a snowplow, the time will vary significantly. With hand shovels, expect it to take the longest time, as this method is labor-intensive. Using a snow blower will reduce the time compared to shoveling by hand. And finally, using a pickup truck with a snowplow will likely be the fastest method, assuming the driveways are accessible and suitable for this equipment.
The efficiency of you and your friend working as a team will also impact the duration. If you work simultaneously on separate driveways, you could potentially cut the time in half, compared to working alone. Therefore, collaboration and the chosen snow removal method will ultimately dictate the total time spent.
A camera priced at $220 is marked down 30%. Find the price of the camera after the markdown.
The price of the camera after the markdown is $___
Answer:
154
Step-by-step explanation:
220-(220*30%)=154
Use this on google next time so you do not waste points on brainly
bradly Now assign a variable for time.
Answer: Let t represent the time in years.
Step-by-step explanation: that's what the answer is for your question exactly you don't need the explanation just "Let t represent the time in years. "
Question pls help!!!!!!!!!
Hey!
--------------------------------------------
Solution:
72 tropical fish and 5/9 sold.
72 / 9 = 8
8 * 5 = 40
72 - 40 = 32
--------------------------------------------
Answer:
There are 32 fish left in the tank!
--------------------------------------------
Hope This Helped! Good Luck!
Answer:
32 fishes
Step-by-step explanation:
[tex]\frac{5}{9}[/tex] of 72.
Convert 9 to 72. 9 * 8 = 72
Multiply 5 by 8 since it is a numerator. 5 * 8 = 40
40 out of 72 fishes were sold.
72 - 40 = 32
There are 32 fishes left in the tank
Evaluate C(7,3)
A.) 4
B.) 35
C.) 70
Answer:
math
way
.com
Step-by-step explanation:
Answer:
35, is your answer my friend
What is 7.8×10^5 hours in days?
Answer:
32500 Days
Step-by-step explanation:
[tex]7.8[/tex] × [tex]10^{5}[/tex] = [tex]780000[/tex]
We know that there are 24 hours in a day.
⇒24 Hours = 1 Day
therefore [tex]780000[/tex] hours = [tex]\frac{780000}{24} = 32500[/tex] Days
I really don’t understand this question -_-
Answer:
Step-by-step explanation: When you have the number 1000 there are three zeros so in scientific notation you just have to mve the decimal to the right three times and you'll have your answer hope this helps!
Which of the following values is the solution to the equation -35x = -105 ? 3 -3
Answer:
3
Step-by-step explanation:
it will be 3 if you want to find the positive number
Given the function
[tex]f(x) = 3 |x + 2| - 4[/tex]
When will this function be greater than 0?
Answer:
[tex]x = <-\infty;-\frac{10}{3}>U<-\frac{2}{3} ;+\infty>[/tex]
Step-by-step explanation:
f(x) > 0
if:
[tex]x = <-\infty;-\frac{10}{3}>U<-\frac{2}{3} ;+\infty>[/tex]
What is 2.25x+5=13.5x+14
Answer:
x = -1.25
Step-by-step explanation:
2.25x + 5 = 13.5x + 14
subtract five from both sides
2.25x = 13.5x + 9
subtract 13.5x from both sides
-11.25x = 9
swap the negative
11.25x = -9
divide 11.25 from both sides
x = -1.25
Based on the given equation 2.25x+5=13.5x+14; the value of x is 0.8
What is like terms?Like terms refers to terms in an algebraic expression or equation which have the same variable.
2.25x+5=13.5x+14
combine like terms
2.25x - 13.5x = 14 - 5
11.25x = 9
divide both sides by 11.25
x = 9/11.25
x = 0.8
Hence, 0.8 is the value of x in 2.25x+5=13.5x+14
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Which expressions are equivalent to 6 +(–x) + 2x + (–7) + 2x?
The expressions equivalent to 6 +(–x) + 2x + (–7) + 2x simplify to 3x – 1, as like terms are combined to reach the final equivalent expression.
Explanation:The expressions equivalent to 6 +(–x) + 2x + (–7) + 2x can be found by combining like terms. To start, we list all the terms out:
Positive six: +6Negative x (or -1x): –xTwo times x (or 2x): +2xNegative seven: –7Another two times x: +2xNow, we can combine like terms:
x-terms: –x + 2x + 2x = 3x
Constant terms: +6 – 7 = –1
So the equivalent expression is:
3x – 1
To check if our answer is reasonable, we make sure that all like terms have been combined and there are no further simplifications possible.
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5 -b(t+3) = -1 +2n(t-3)
Answer:
b= - 2nt-6n-6/ 3+t; t≠ -3
I hope this is what you were looking for!
The school cafeteria makes pudding every Wednesday. Each box of pudding mix uses 3 cups of milk. How many quarts of milk will be used to make 80 boxes of pudding mix?
Answer:
160 cups of milk
Step-by-step explanation:
To calculate how many quarts of milk are needed for 80 boxes of pudding mix, you multiply the boxes by the cups per box to find the total cups (240 cups) and then divide by the number of cups in a quart to get 60 quarts.
To determine how much milk will be used to make 80 boxes of pudding mix, we start by calculating the total number of cups of milk needed. Since each box uses 3 cups of milk, the total number of cups for 80 boxes is:
3 cups/box x 80 boxes = 240 cups
Next, we convert cups to quarts. We know that 1 quart equals 4 cups, so we can set up a proportion:
4 cups = 1 quart
240 cups = x quarts
Cross-multiplying to solve for x gives us:
1x = 240/4
x = 60 quarts
Therefore, the cafeteria will use 60 quarts of milk to make 80 boxes of pudding mix.
If you have $100.00 to start the summer and you earn $25.00 per day. What equation would represent this?
Hey!
--------------------------------------------------
[tex]\boxed{ \bf 100~+~25x~=~m}[/tex]
--------------------------------------------------
Solution:
m = money at the end of summer.
x = how many days are in summer.
If he starts with 100 dollars at the beginning of summer, then you just want to add it depending on how many days he gets paid $25.
--------------------------------------------------
Hope This Helped! Good Luck!
A bathtub empties at 15 gallons per minute. What is this in liters per second?
Answer:
Step-by-step explanation:
approximately 0.94625 liters per second
Answer:
Step-by-step explanation:
3,486 ÷ 2=n
use long divison to solve for the n
Solve the proportion 5/3c=1/6
Answer:C= 10
Step-by-step explanation:
1.cross multiply and you get 3c=30
2.divide both sides by 3 and you get c=10
Answer:
[tex]c=\frac{1}{10}[/tex]
Step-by-step explanation:
So the trick is to make the number before c = 1.
How do we do that?
We multiply the fraction by it's reciprocal, which is 3/5.
However, we also have to do the same thing to the other side of the equation.
Answering the problem will look like this:
[tex]\frac{5}{3} c=\frac{1}{6}\\\frac{3}{5}*\frac{5}{3}c=\frac{1}{6}*\frac{3}{5}\\\frac{3*5}{5*3}c=\frac{1*3}{6*5}\\\frac{15}{15}c=\frac{3}{30}\\c=\frac{1}{10}[/tex]
So [tex]\frac{1}{10}[/tex] is our answer!
A zookeeper is monitoring the population of gazelles. The herd needs three times more males than females to thrive, and the zoo only has room for 12 female gazelles. Let x = the number of female gazelles and y = the number of male gazelles. Write the constraints to represent a thriving population of gazelles at the zoo.
A.x > 0 and y > 0
B.0 < x ≤ 12 and 0 < y ≤ 36
C.0 < x ≤ 12 and y > 36
D.x > 0 and y < 23
Answer:
B.0 < x ≤ 12 and 0 < y ≤ 36
Step-by-step explanation:
Final answer:
The constraints for a thriving population of gazelles at the zoo, with a limit of 12 female gazelles and the need for thrice as many males, are 0 < x ≤ 12 and 0 < y ≤ 36, which matches answer option B.
Explanation:
To represent a thriving population of gazelles in the zoo, we must write constraints that capture the relationship between the number of female gazelles (x) and the number of male gazelles (y). Since the zoo can only accommodate 12 female gazelles, and the herd requires three times more males than females, we can express the constraints as inequalities.
The first constraint pertains to the maximum number of female gazelles, which is 12. Therefore, we have 0 < x ≤ 12. The second constraint relates to the male gazelles, as we need three times as many males as there are females, so y = 3x. Since x has an upper limit of 12, the maximum value for y would be 36 (3 times 12).
Taking into account that we cannot have a negative number of gazelles, the constraints for a population to thrive are:
0 < x ≤ 12: the number of female gazelles must be positive and no more than 12.0 < y ≤ 36: the number of male gazelles must be positive and no more than three times the maximum number of female gazelles.
Given these constraints, the correct answer is B. 0 < x ≤ 12 and 0 < y ≤ 36.
What is 5/6+2 3/4 PLS HELP ASAP
Answer:
Exact form: 43/12
Mixed number form: 3 7/12
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
2.
Solve for x: 2x+ 5 = 4x + 7
Answer:
x = -2
Step-by-step explanation:
2x + 5 = 4x + 7
2x = 4x + 7 - 5
-2x = 2
x = -2
Answer:
x=-2
Step-by-step explanation:
this is how the answer for it
what is a valid prediction about the continuos function
Answer:
EX: f(x) ≥ 0 over the interval [-1, 1].
Final answer:
A valid prediction about a continuous function is that it will have no breaks, jumps, or holes, and will exhibit the intermediate value property. If continuity is ensured, we can expect the function to pass through all intermediate values between any two points within a given interval.
Explanation:
A valid prediction about a continuous function is that the function will not have any breaks, jumps, or holes in its graph. This means that for any value within the domain of the function, we can find a corresponding value in the range, making the function predictable and reliable to analyze. A continuous function has the intermediate value property, which tells us that if the function takes on two values, it must take on every value in between at least once. As such, if we know the function is continuous on an interval, we can predict that it will pass through all the intermediate values between any two points in that interval.
An important concept to consider is the change that would invalidate the continuity of such a function. To illustrate, think about what would happen if our continuous function were to suddenly have a point removed or to have a sudden vertical asymptote introduced. This would create a discontinuity. So, when predicting behaviors of continuous functions, we must ensure there are no such changes or 'breaks' occurring within the interval we are considering.
Simplify. 7+3(2−1)^2
Answer:
10
Step-by-step explanation:
2-1 =1
7+3 = 10
10(1)^2 =
10(1) =
10
Answer:
7+3(2-1)^2=10
Step-by-step explanation:
1.Subtract: 2 - 1 = 1
2.Exponentiation: the result of step #1 ^ 2 = 1 ^ 2 = 1
3.Multiple: 3 * the result of step #2 = 3 * 1 = 3
4.Add: 7 + the result of step #3 = 7 + 3 = 10
- 2(x + 3) + 2(x + 4) = 24
Answer: no solution
Step-by-step explanation:
First lets simplify
-2(x+3) + 2(x+4) = 24
-2x - 6 + 2x + 8 = 24
We can simplify this further by combining like terms
2=24 is the equation we get after combining like terms.
Since 2 is not equal to 24, the answer is no solution.
Answer:
NO SOLUTIONStep-by-step explanation:
[tex]-2(x+3)+2(x+4)=24\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-2)(x)+(-2)(3)+(2)(x)+(2)(4)=24\\\\-2x-6+2x+8=24\qquad\text{combine like terms}\\\\(-2x+2x)+(-6+8)=24\\\\0+2=24\\\\2=24\qquad\bold{FALSE}\\\\\text{Conclusion:}\\\\\bold{NO\ SOLUTION}[/tex]
4. What is the perimeter of the triangle shown below?
12
273
32
Answer:
[tex]6\sqrt{2}+2\sqrt{3}[/tex]
Step-by-step explanation:
To find the perimeter of something, you add all sides. But the issue here is simplifying the squares. The easy way to do this is separate out as many squares as you can. You'll see what I mean.
[tex]\sqrt{12} + 2\sqrt{2} + \sqrt{32}\\ \sqrt{4*3}+2\sqrt{2} + \sqrt{4*4*2}\\ \sqrt{4}*\sqrt{3}+2\sqrt{2} +\sqrt{4} *\sqrt{4} *\sqrt{2}\\ see?\\2\sqrt{3}+2\sqrt{2} +4 \sqrt{2}\\ so the answer is:\\6\sqrt{2}+2\sqrt{3}[/tex]
How many liters of a 20% alcohol solution must be mixed with 60 liters of a 90% solution to get a 80% solution?
x = liters of 20% solution
Mixing the 20% solution with the 60 L of 90% solution gives a new mixture with volume (x + 60) L. Each L of the 20% solution contributes 0.2 L of alcohol and thus a total of 0.2x L of alcohol, while the 60 L of 90% solution contributes 54 L of alcohol.
We want the concentration of the new mixture to be 80%, so we require
[tex]\dfrac{0.2x+54}{x+60}=0.8[/tex]
Solve for x:
[tex]0.2x+54=0.8x+42[/tex]
[tex]12=0.4x[/tex]
[tex]\implies\boxed{x=30}[/tex]
So you will need 30 L of the 20% solution.
To get a 80% solution, you would need to mix a certain number of liters of a 20% alcohol solution with 60 liters of a 90% solution.
Explanation:To solve this problem, we can use the concept of mixture problems. Let's denote the unknown quantity of the 20% alcohol solution as 'x'. We know that the total volume of the mixture will be the sum of the volumes of the two solutions, so:
x + 60 = x + 60
Next, we can express the amount of alcohol in the original 90% solution and the resulting 80% solution:
0.90(60) + 0.20(x) = 0.80(x + 60)
Simplifying this equation will give us the value of 'x', which represents the number of liters of the 20% alcohol solution that must be added to the 60 liters of the 90% solution.
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Pls help me get the answer and help me understand how to solve these type of questions
Answer:
y = (x - 4)² + 2
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (4, 2), thus
y = a(x - 4)² + 2
To find a substitute a point that lies on the curve into the equation
Using the point (2, 6), then
6 = a(2 - 4)² + 2
6 = 4a + 2 ( subtract 2 from both sides )
4 = 4a ( divide both sides by 4 )
a = 1
Hence
y = (x - 4)² + 2 ← equation in vertex form
Georgia is making sock puppets. Each pair of socks costs $2. georgia bought 6 pairs of socks. How much did she spend?
Answer:
$12
Step-by-step explanation:
First you would have to write down the number of socks. That is 6. That means 6 is the first part of our equation. Then, we have to multiply this by the $2. You have to do this because this is how much each pair costs. Then you would do 2 times 6 equals 12.
Answer:
If each pair of sock is 2$
and she bought 6
multiply 2 by 6
explanation
2x6 = 12
because a pair of docks is two so multiply by how much pairs she bought
: The Imbrium Basin is the largest basin on the moon. A reasonable domain
for the height above the lowest point in the basin is given by
{d0 < d < 3805774}. What does this tell you about the basin?
Answer:
Part a) [tex]f(2)=1.57\ sec[/tex]
It takes 1.57 seconds for an object to fall a distance of 2 feet
Part b) see the explanation
Part c) [tex]2,165.43\ sec[/tex]
Step-by-step explanation:
The complete question is
On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by the function f(d) = 1.11√d.
Part a: determine f(2) and explain what it represents.
Part b: The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}. What does this tell you about the basin.
Part c: how long would it take a rock to drop from the rim to the bottom of the basin?
Let
f(d) -----> the time in seconds it takes for an object to fall
d -----> distance in feet
we have
[tex]f(d)=1.11\sqrt{d}[/tex]
Part a): Determine f(2) and explain what it represents
we know that
f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet
For d=2 ft
substitute in the function above and solve for f(2)
[tex]f(2)=1.11\sqrt{2}\\f(2)=1.57\ sec[/tex]
therefore
It takes 1.57 seconds for an object to fall a distance of 2 feet
Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}
What does this tell you about the basin?
The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft
so
The maximum height of the basin is 3,805,774 ft
Part c) How long would it take a rock to drop from the rim to the bottom of the basin?
we know that
The distance from the rim to the bottom of the basin is equal to the maximum height of the basin
so
[tex]d=3,805,774\ ft[/tex]
substitute the value of d in the function f(d)
[tex]f(d)=1.11\sqrt{3,805,774}\\f(d)=2,165.43\ sec[/tex]