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.
Answers
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.
Related Questions
a printer that sells for $190 is on sale for 20% off what is the sale price of the printer to work please
Answers
Hey!
---------------------------------------------------
Solution:
20% = 0.2 (percentage as decimal)
190 x 0.2 = 38 (discount)
190 - 38 = 152 (sale price)
---------------------------------------------------
Answer:
The sale price of the printer is $152.
---------------------------------------------------
Hope This Helped! Good Luck!
Hannah and Francine have $120.hannah and Peter have $230.Peter has 6 times as much money as Francine.How much money does Hannah have?
Answers
Answer:
$98
Step-by-step explanation:
x+6(120-x)=230
x+720-6x=230
-5x=-490
x-98
x represented how much money Hannah had.
90 POINTS Determine the measures of L and M.
Answers
Hey!
------------------------------------------------
To Solve We Need:
By looking at the picture we can see that the measure of N is 48 degrees.
A triangle needs a total of 180 degrees to be a complete triangle.
------------------------------------------------
Solution:
180 - 48 = 132 degrees
132 / 2 = 66 degrees
------------------------------------------------
Answer:
L and M measure 66 degrees!
------------------------------------------------
Hope This Helped! Good Luck!
Answer:
La and M 66 degrees !
Step-by-step explanation:
Marco Has a peice of wood that measures 9x1/10 + 6x1/100 + 4 x 1/1000 meter. How can this measurement be written as a decimal
Answers
Nine increased by the product of a number and 8 is greater than -24
Answers
Answer:
x>-33/8
Step-by-step explanation:
9+8x>-24
1) Subtract 9 from both sides:
8x>-33
2) Divide both sides by 8:
x>-33/8
The algebraic representation of the problem is 9 + 8x > -24. After isolating 'x', the solution to the inequality is x > -4.125, which means any number greater than -4.125 satisfies the equation.
Explanation:The problem presented is a linear inequality, a topic of mathematics. The sentence 'Nine increased by the product of a number and 8 is greater than -24' can be represented algebraically as 9+8x > -24, where 'x' is the number in question.
To solve it, as we aim to find the value for 'x', you first isolate 'x' on one side of the inequality. Start by subtracting 9 from both sides to get 8x > -24 - 9, which results in 8x > -33. Then, you divide both sides by 8 to solve for 'x'. As a result, x > -33/8, or x > -4.125.
This means that any number greater than -4.125 will satisfy the equation 'Nine increased by the product of a number and 8 is greater than -24'. So, the solution to this inequality is x > -4.125.
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Which function has an axis of symmetry of x = −2?
Answers
Answer:
Step-by-step explanation:
f(x) = a(x+2)² +k
Answer:
f(x) = (x + 2)2 − 1
Step-by-step explanation:
HEY LUVS
The height of a triangle is twice it's base. If the area of the triangle is 40 cm squared, what is the measure of it's height
Answers
40 = x(2x)/2
80 = 2x²
40 = x²
x = sqrt40
x = +/- 2sqrt10
Measurement cannot be negative therefore x = 2sqrt10
Height = 2x = 2(2sqrt10) = 4sqrt10
The height of the triangle is 4sqrt10 cm or approximately 12.65cm.
4x + 6 over 2 equals 3x - 15 over 3
Answers
Answer:
x = -8Step-by-step explanation:
[tex]\dfrac{4x+6}{2}=\dfrac{3x-15}{3}\qquad\text{cross multiply}\\\\3(4x+6)=2(3x-15)\qquad\text{use the distributive property}\\\\(3)(4x)+(3)(6)=(2)(3x)+(2)(-15)\\\\12x+18=6x-30\qquad\text{subtract 18 from both isdes}\\\\12x=6x-48\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\6x=-48\qquad\text{divide both sides by 6}\\\\x=-8[/tex]
x=-8
Given equation is (4x+6)/2=(3x-15)/3, we need to find x
What is cross multiplication method?Multiply the numerator of one fraction to the denominator of other and denominator of the first term to the numerator of another term is called Cross Multiplication Method.
Given, (4x+6)/2=(3x-15)/3
Apply cross multiplication method
3(4x+6)=2(3x-15)
12x+18=6x-30
12x-6x=-30-18
6x=-48
Divide both sides by 6
x=-8
Therefore value of x in (4x+6)/2=(3x-15)/3 is '-8'.
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The line parallel to y=-7x-2 through (-4,6)
Answers
The required line parallel to y = - 7x - 2 through (- 4, 6) is y = -7x - 22.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
We know parallel lines have the same slope.
Given line is y = - 7x - 2, hence the required line will also have a slope of - 7
which is passing through the point (-4, 6).
∴ 6 = (-7)(-4) + b.
6 = 28 + b.
b = - 22.
Hence the required line is y = -7x - 22.
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What is the slope of the line represented by the equation y = –y equals negative StartFraction one-half EndFraction x plus StartFraction one-fourth EndFraction.x + StartFraction one-fourth EndFraction.?
Answers
Answer:
Slope:
[tex]m = -\displaystyle\frac{1}{2}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]y = -\displaystyle\frac{1}{2}x + \displaystyle\frac{1}{4}[/tex]
Comparing this equation to the slope-intercept form:
[tex]y = mx + c[/tex]
where m is the slope of line and c is the y-intercept that is the value of y when x is zero.
on comparing, we get:
[tex]m = -\displaystyle\frac{1}{2}\\c = \displaystyle\frac{1}{4}[/tex]
The slope of the given line is
[tex]m = -\displaystyle\frac{1}{2}[/tex]
The slope of the given line is -1/2
How to find the slope of an equationThe standard equation of a line is expressed as y = mx +b
where
m is the slope
b is the y-intercept
Given the equation y = -1/2x + 1/4
Compare the equations
mx = -1/2 x
m = -1/2
Hence the slope of the given line is -1/2
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Evaluate A 2-B 2 for A = 4 and B = -5.
Answers
Answer:
- 9
Step-by-step explanation:
Given
A² - B² ← substitute A = 4 and B = - 5 into the expression
= 4² - (- 5)²
= 16 - 25
= - 9
9x + 2y = 30
6x + 4y = 12
Answers
1. Simplifying
9x + 2y = 30
Solving
9x + 2y = 30
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
9x + 2y + -2y = 30 + -2y
Combine like terms: 2y + -2y = 0
9x + 0 = 30 + -2y
9x = 30 + -2y
Divide each side by '9'.
x = 3.333333333 + -0.2222222222y
Simplifying
x = 3.333333333 + -0.2222222222y
-------------------------------------------------------------------------------------------
2. Simplifying
6x + 4y = 12
Solving
6x + 4y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4y' to each side of the equation.
6x + 4y + -4y = 12 + -4y
Combine like terms: 4y + -4y = 0
6x + 0 = 12 + -4y
6x = 12 + -4y
Divide each side by '6'.
x = 2 + -0.6666666667y
Simplifying
x = 2 + -0.6666666667y
Answer:
For graphing, your answer is...(4,-3)
Step-by-step explanation:
1.Subtract 9x on both sides...
2y=30-9x
6x+4y=12
2. Divide each term by 2, then simplify...
-Divide... 2y=30-9x by 2.
2y/2=30/2+-9x/2
6x+4y=12
3. Reduce expression by...cancelling your common factors...
Cancel...2 from 2y/2
6x+4y=12
Divide y by 1...
y=30/2+-9x/2
6x+4y=12
4.Simplify each term...
-Divide thirty by two.
y=15+-9x/2
6x+4y=12
-Move your negative in the front of your fraction.
y=15 - 9x/2
6x+4y=12
5. Subtract 6x from both sides of your equation...
y=15 - 9x/2
4y=12-6x
6. Divide each term by four...divide terms in 4y=12-6x by four...
y=15 - 9x/2
4y/4=12/4+-6x/4
-Reduce expression by cancelling common factors in 4y/4...
Divide y by one...
y=15 - 9x/2
y=12/4+-6x/2
7. Simplify each term...Divide twelve by four...
y=15 - 9x/2
y=3+-6x/4
-Reduce expression by cancelling all common factors...
Your factor is 2 our of -6x...
y=15 - 9x/2
y=3+2(-3x)/4
-Cancel the common factors.. two out of four...
y=15 - 9x/2
y=3+2(-3x)/2(2)
-Cancel common factors again...
y=15 - 9x/2
y=3+-3x/2
8. Move your negative over to the front of your fraction...
y= 15 - 9x/2
y=3 - 3x/2
You get... (4,-3)
I hope this helps you and I also do hope that this is what you are looking for! If not, then my bad! Good luck, mate!
how do you simplify a algebraic equasion
Answers
use exponent rules to remove parentheses in terms with exponents
combine like terms by adding coefficients
combine the constants
Final answer:
To simplify an algebraic equation, combine like terms, reduce fractions, and cancel factors; multiply or divide both sides by the same number if needed, and check your work by substituting values back into the original equation.
Explanation:
Simplifying Algebraic Equations
To simplify an algebraic equation, you need to eliminate terms wherever possible. This process may involve combining like terms, reducing fractions, and canceling out factors. Multiplication or division by the same number on both sides of the equation does not change the equation's equality, so apply these operations carefully to all terms. Often, you'll want to collect constants inside the parentheses to consolidate them into a single value, making the equation simpler. After simplifying, it's important to check your answer to ensure that it is reasonable, which may involve plugging the solution back into the original equation or assessing the steps you've taken to make sure no errors were made.
Let's consider an example:
Simplify the equation by dividing both sides by a common factor, if applicable.
Collect like terms together and simplify further.
Check the simplified equation by substituting numbers to see if both sides remain equal or by ensuring logical algebraic steps were taken.
Remember, solving for an unknown variable requires doing the same operation on both sides of the equation, thereby maintaining balance. Systematic simplification and attentive checking are your keys to mastering algebraic equations.
The formula
h
=
v
t
−
16
t
2
gives the height
h
, in feet, of an object projected into the air with an initial vertical velocity
v
, in feet per second, after
t
seconds.
If an object is projected upward with an initial velocity of
80
feet per second, at what times will it reach a height of
96
feet above the ground?
It'll be at
96
feet above the ground at
and
seconds
Answers
Answer:
t=6
Step-by-step explanation:
We are solving for [tex]t[/tex]. To do this, let's fill in the known variables.
[tex]h=vt-16t^2[/tex]
[tex]v=80\\h=96[/tex]
[tex]96=80t-16t^2[/tex]
[tex]16t^2-80t+96=0\\16(t^2-5t+6)=0[/tex]
Since the product must equal 0, that means that the factor in the parentheses hasto be equal to 0. Therefore,
[tex]t^2-5t+6=0\\(t+1)(t-6)=0\\\\t+1=0 OR t-6=0\\t=-1 OR t=6[/tex]
However, since the time cannot be negative, [tex]t=-1[/tex] cannot be a valid answer.
Therefore, the only valid time is t=6.
I hope this helps.
Let's start with the projectile motion formula which is h = vt - 16t².
In this formula, h is the height of the object,
v is the initial velocity, and t is the time.
We know that the initial velocity is 80 feet per second
so we can plug an 80 in for v in our formula.
We also know that the object reaches a height of 96 feet above the
ground which means we can plug an 96 in for h in our formula.
So we have 96 = 88t - 16t².
To solve this equation, we set it equal to 0 by subtracting
88t and adding 16t² to get 16t² - 88t + 96 = 0².
Now we can divide both sides by 8 to get 2t² - 11t + 12 = 0.
Now we can factor the left side to get (2t - 3)(t - 4) = 0.
So this means that 2t - 3 = 0 or t - 4 = 0.
So t = 3/2 or t = 4.
Now, the reason there are two answer is because the object will be
96 feet off the ground on its way up and on its way down.
What is a whole number
Answers
Answer:
Whole numbers are positive numbers (this includes 0) that do not have decimals or fractions to them.
Example:
1, 2, 3, 4, 5,etc are all whole numbers, because they are positive and do not have decimals or fractions
1.25 would not be a whole number, because although it is positive, it has a decimal.
Colby must spend less than 275 minutes playing video games in one day. He plays different games for 25 minutes each, and Colby has already played 100 minutes today.
25x + 100 < 275
How many more games can Colby play today?
A.
x < 100
B.
x < 25
C.
x < 175
D.
x < 7
Answers
Answer:
A
Step-by-step explanation:
Answer: D. X<7
Step-by-step explanation:
In the given inequality, x represents the number of games Colby can finish. Use opposite operations to isolate x.
Therefore, the solution set for how many more games Colby can finish this week is x < 7.
During a drought the water level of a lake changes -3 1/5 feet per day. Write and solve an equation to find how long it takes for the water level to change -16 feet
Answers
Answer:
-3.2x=-16
Step-by-step explanation:
What is 1,000,000 written as a power of ten?
10–6
10–7
107
106
Answers
Answer:
10^6 aka D
Step-by-step explanation:
We know this because we start off with 1. we take the decimal and swipe it 6 places to the right filling the gaps with zero. As shown in the problem itself.
Answer:
10^6
Step-by-step explanation:
10^6 is 10 × 10 × 10 × 10 × 10 × 10, and that is 1,000,000.
it takes 4/5 of an hour to paint 2/5 of a room, how long does it take to paint one room?
Answers
Answer:
120 mins
or
2hrs
Step-by-step explanation:60 min=1 hr
60 min/5=12 min
12(4)=48 min
24 min=1/5 of room
24(5)=120 min
120 min=2 hrs
It would take 2 hours to paint one room.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken to paint 2/5 of the room = 4/5 hour
To find the time taken to paint one room,
Use ratio property,
2/5 room takes = 4/5 hour
1 room takes = 4/5 x 5/2 hours
= 4 / 2 hours
= 2 hours.
The one room takes 2 hours to paint.
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3.7 ft
7.2 ft
8.1 ft
what is the answer?
Answers
Answer:
if this question was a volume question, then the answer would be 215.784ft^3
why: length times width times height
if this is not what you needed ignore it. I am basing this off of the given number.s
Step-by-step explanation:
Hi i just need help on this quick question, ty :)
A deck is being built around a rectangular swimming pool. The swimming pool is 35 ft x 20 ft and the deck has a uniform width of 7 ft. What is the area of the deck only?
A. 700 ft^2
B. 877 ft^2
C. 966 ft^2
D. 1134 ft^2
Answers
Answer: C. 966
Step-by-step explanation: First find the ft. of the entire area, the deck, and pool. Then get the area of the pool
Entire area: (35+7+7) * (20+7+7)= 1666
Pool: 35*20=700
Then subtract the ft. of the entire area by the pool
1666-700= 966
32,467 rounded to the nearest ten
Answers
Answer:
32,470
Step-by-step explanation:
since there is a 7 in the ones place it will chnage the 6 to a 7 to make it 32,470
In order to find the answer to this question you must find the tenth place value and look to the right of the tenth place value and if the value next to the tenths higher then five you round up.
[tex]32,467[/tex]
[tex]Tenths=67[/tex]
[tex]7>5[/tex]
[tex]32470[/tex]
[tex]=32,470[/tex]
Therefore the answer is "32,470."
Hope this helps.
Unit 4 HomeWUIR
The following table shows the times for
athletes running a 100-meter race.
100-Meter Race
Time
Runner
(seconds)
Mary
0.34
Rhea
0.394
Lindsay
0.402
Mei
0.334
Brooke
0.35
If the first three places receive ribbons, which
runners received ribbons for the race?
1st Place Ribbon:
2nd Place Ribbon:
3rd Place Ribbon:
Answers
Answer:
1st Place: Mei
2nd Place: Mary
3rd Place: Brooke
A bacterium cell splits into 2 cells every hour. Write and evaluate an exponential expression to find how many cells there will be in 6 hours. Then use your answer to help you find the number of hours it will take for there to be 1,024 cells.
Answers
Answer:
2^x
64 bacterium
10 hours
Step-by-step explanation:
doubles every hour
if x = hours
2^x
2^x --> 2⁶ = 64
2^x = 1024
1024 = 2^10 ---> x=10
What is the volume of this rectangular prism?
Answers
Answer:
The answer is B. 54 cm
Step-by-step explanation:
When you find the volume of a rectangle you have to multiply the length, width, and height. The length is 9, width 3, and height 2. When you multiply them together you'll get 54
How many times larger is 80 than 8
Answers
Answer:
10 times larger
Step-by-step explanation:
To solve this you need to divide 80 amd 8.
80/8
if 10* 8 = 80 then 80/8 = 10
Therefore 10 times larger is the answer
80 is 10 times larger than 8. This is determined by dividing the larger number (80) by the smaller number (8). The result of this division gives us the times one number is larger than the other.
Explanation:The comparison of two numbers can be done by looking at the ratio, or division result of those two numbers. In this case, we are comparing 80 and 8. We can do this by dividing 80 by 8, which equals 10. Therefore, 80 is 10 times larger than 8.
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A human heart beats approximately 60 times per minute. If a man lives to the age of 90, how many times will his heart in his lifetime.
Answers
Answer:
90 Years = 47,304,000 Minutes = 47304000 Minutes.
Step-by-step explanation:
Ed saved $50 one week. For the next 6 weeks he saved $25 more than he saved the week before. How much did he save in all? One student solved this problem using the expression $50 + 6($25) =$200. What error was made? What is the correct answer?
Answers
Answer:$825. 00
Add $25.+50. For week 1 then add $25.each additional week for 6weeks.
Step-by-step explanation:
A mosquito starts his flight in the air at 10 feet below sea level in a canyon. He then ascends to 18 feet above sea level. What was the change in the height if his flight
Answers
ascended 28 ft!
10 - (-18) = 28
Which of the following expressions is equivalent to 4,325,000,000
Answers
For this case we must find an expression equivalent to:
[tex]4,325,000,000[/tex]
To express in scientific notation we must take into account that the power will be positive, that is, the decimal is run to the right.
We test each option.
Option A:
[tex]4,325 * 10^{-9}[/tex]
If we run the decimal 9 spaces to the left we have:
[tex]0.000000004325[/tex]
Option B:
We discard it because the exponent is negative.
Option C:
[tex]4,325 * 10 ^ 6[/tex]
We run the decimal 6 spaces to the right
[tex]4,325,000[/tex]
Option D:
[tex]4,325 * 10 ^ 9[/tex]
We run the decimal 9 spaces to the right
[tex]4,325,000,000[/tex]
Answer:
Option D
Final answer:
The expression that is equivalent to 4,325,000,000 is 4.325 × 10^9.
Explanation:
The expression that is equivalent to 4,325,000,000 is 4.325 × 109.
When we write a number in scientific notation, we express it as a product of a coefficient and a power of 10. In this case, the coefficient is 4.325 and the power of 10 is 9. This means that we move the decimal point 9 places to the right, resulting in a value of 4,325,000,000.
So the correct expression is 4.325 × 109.