The total number of questions on the practice test is at least 66.
Since the number of geography questions is 65, and geography was one of the topics on the practice test, the total number of questions on the practice test must be greater than 65.
One option is that there were 66 questions on the practice test, with the remaining question being on a different topic.
Another option is that there were more than 66 questions on the practice test, with geography being one of multiple topics.
Therefore, the total number of questions on the practice test is at least 66.
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The city of Toronto’s population rose from 2,000,000 to 4,500,000 in the last twenty years of the twentieth
century. What was the annual average percentage increase in population for that period?
(a) 2.5% (b) 22.5% (c) 11.25% (d) 225% (e) none of these
Answer:
E
Step-by-step explanation:
We will first find the percentage increase of 20 years. Then we will divide that by 20 to get the annual average percentage increase.
To get the percentage increase, we will find the increased amount and divide that by original population (2,000,000). Multiply that by 100 to get the percentage.
So,
Increased amount = 4,500,000 - 2,000,000 = 2,500,000
Now the percentage increase:
[tex]\frac{2,500,000}{2,000,000}*100=125[/tex]
So, in 20 years, the percentage increase is 125%
Per Year = 125/20 = 6.25% average per year
No correct answer in the answer choices from A through D, so E is the correct answer, None of These.
1.
A gym has two membership plans.
The Gold Plan costs 50 dollars per month and 3 dollars per visit.
The Platinum Plan costs 20 dollars per month and 6 dollars per visit.
Answer:
The number of visit so that both plan cost same is 10 .
Both the plan has equivalent choice of benefit
Step-by-step explanation:
Given as :
A gym has two membership plans.
For Gold plan
The charge per month = $50
The charge per visit = $3
For Platinum plan
The charge per month = $20
The charge per visit = $6
Let The number of visit for which each plan be same = n visits
Now, According to question
∵ Each plan cost to be same
So,
The charge per month for gold plan+ The charge per visit × numbers of visit = The charge per month for platinum plan+ The charge per visit × numbers of visit
I.e $50 + $3 × n = $20 + $6 × n
Or, $50 - $20 = $6 × n - $3 × n
Or, $30 = ($6 - $3) × n
Or, $30 = $3 × n
∴ n = [tex]\dfrac{30}{3}[/tex]
I.e n = 10
So, The number of visits = n = 10
Now, For Gold plan
The charge per month = $50
The charge per visit = $3 × 10 = $30
So, Total charge for gold plan = $50 + $30 = $80
Similarly For Platinum plan
The charge per month = $20
The charge per visit = $6×10 = $60
So, For Platinum plan ,total charge = $20 + $60 = $80
Hence, The number of visit so that both plan cost same is 10
and both the plan has equivalent benefit. Answer
Which describes the correlation shown in the scatterplot?
A. There is a positive linear correlation.
B. There is a negative linear correlation.
C. There is no positive or negative correlation.
D. There is a nonlinear correlation.
Answer:
C
Step-by-step explanation: As you can see, the correlation goes up and down, this does not represent positive nor negative. Therefore, C would be your final answer.
If g(f) the inverse of
) and fx) = 4x + 12 what is g(x)?
g(x) - 12x + 4
og(x) - x-12
g(x) = x-3
g(x) -
x-3
Save and Exit
Next
Su
Mark this and return
Answer:
[tex]g(x)=\frac{x}{4}-3[/tex]
Step-by-step explanation:
we have
[tex]f(x)=4x+12[/tex]
Find the inverse
Let
y=f(x)
[tex]y=4x+12[/tex]
Exchange the variables (x for y and y for x)
[tex]x=4y+12[/tex]
Isolate he variable y
subtract 12 both sides
[tex]4y=x-12[/tex]
divide by 4 both sides
[tex]y=\frac{x}{4}-3[/tex]
Let
g(x)=y
[tex]g(x)=\frac{x}{4}-3[/tex] ---> inverse of the function f(x)
help asap! What is equal to 3,068 times 108=?
Answer:
Step-by-step explanation:
3,068 × 108
= 331344
Answer:
331,344
Step-by-step explanation:
Line up the numbers like how u would do it if adding or subtracting and multiply each digit in 108 by each digit in 3068 starting with 8*8. Then do the same with multiplying each digit in 3068 by each digit in 108 starting with 8*8
What are the lower quartile, upper quartile, and median for this box and whisker plot?
A. LQ = 7 UQ = 14 Median = 18
B. LQ = 18 UQ = 14 Median = 21
C. LQ = 14 UQ = 28 Median = 21
D. LQ = 14 UQ = 28 Median = 22
Answer:
C
Step-by-step explanation:
The lower quartile is the value at the left side of the box, that is
LQ = 14
The upper quartile is the value at the right side of the box, that is
UQ = 28
The median is positioned at the vertical line inside the box. that is
Median = 21
if an=5n-3 find the common difference
Answer:
Hi here is your answer
an=5n-3
an-1= -3+5n
an-1= -3+5(n-1)
an-1= -3+5n-5
an-1= 5n-7
d= an- an-1
d=(5n-3)-(5n-7)
d=5n-3-5n+7
d=4
Answer: d = 4
Hope this helps you.
Answer:
d = 5
Step-by-step explanation:
an = 5n -3
a1 = 5 -3 = 2
a2 = 5*2 -3 = 10 - 3 = 7
d = a2 - a1 = 7 - 2 = 5
A construction company is repaving a damaged road. So far, they have repaved a total of 97,338 inches of the road. Today, they repaved 29,092 inches of the road. How many inches of the road had they repaved before today?
68,246 inches of road had been repaved before today.
Step-by-step explanation:
Given,
Length of road repaved so far = 97338 inches
Length repaved today = 29092 inches
Length repaved before today = Total length repaved - Length repaved today
Length repaved before today = 97338 - 29092
Length repaved before today = 68246 inches
68,246 inches of road had been repaved before today.
Keywords: subtraction
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5h+-6h=20 solve h help me please
Answer:
[tex] \: \: \: \: \: \: \: \: 5h + ( - 6h) = 20 \\ = > 5h - 6h = 20 \\ = > - h = 20 \\ = > h = - 20[/tex]
For the function y=8−5x, what is the ordered pair when x=7?
Answer:
Ordered pairs are (0,7) , (1,8) , (-1,6) and (-7,0)
Step-by-step explanation:
Answer:
(7, -27)
Step-by-step explanation:
Given y=8-5x and x=7,
We substitute x=7 into the equation y=8-5x.
This would give us y= 8-5(7) and can be further sinplified to y= 8-35 = -27.
Ordered pair refers to 2 numbers that come in a pair to fulfil an equation in the form of (x, y).
6. 40 adults and 26 kids went to
see a movie for $486.70. At the
same price, another group of 20
1 adults and 31 kids went to see
the same move for $332.45.
How much was an adult ticket
and how much was a kid ticket?
The cost of adult and kid tickets, we set up two equations representing the total cost for separate groups and use the elimination method to solve the system of linear equations. Once we solve for one ticket type, we can use its value to find the cost of the other ticket type.
The problem presented is a system of linear equations where we have two unknowns: the cost of an adult ticket and the cost of a kid ticket. We can set up the two equations based on the given information:
40A + 26K = 486.70 (First group's total cost)
21A + 31K = 332.45 (Second group's total cost)
To solve this system, we can use either substitution or elimination methods. For simplification, let's use the elimination method:
Multiply the second equation by 2: (2 x 21A) + (2 x 31K) = 2 x 332.45, which gives us 42A + 62K = 664.90.
Now subtract the first equation from this new equation: (42A + 62K) - (40A + 26K) = 664.90 - 486.70, resulting in 2A + 36K = 178.20.
Divide the entire equation by 2: A + 18K = 89.10.
We now have an easier equation to work with along with our original first equation.
To find the value of one variable, we could substitute the value of A from the first equation (using the second simplified equation) into the second equation and solve for K.
Once we have the value of K, we can substitute it back into either original equation to solve for A.
These steps will give us the exact cost of an adult ticket (A) and a kid ticket (K).
Can you help with these two questions?
1)
Scientists are studying a 500 g. sample of a radioactive element. which has an annual decay rate of 11%. How many grams of the sample would be left after 10 years?
Round the answer to two decimal places.
2)
In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year.
At this rate, what would be the population in 2040?
Round your answer to the nearest whole number.
1) 155.91 grams would be left after 10 years
2) The population would be 376,478 in 2040
Step-by-step explanation:
The form of the exponential function is [tex]y=a(b)^{x}[/tex] , where
a is the initial amount (y at x = 0)b is the growth/decay factorb = 1 + r, where r is the rate of growthb = 1 - r, where r is the rate of decay1)
Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%
∵ The initial amount is 500 grams
∴ a = 500
∵ The annual decay rate is 11%
∴ r = 11% = 11 ÷ 100 = 0.11
∵ b = 1 - r ⇒ decay
∴ b = 1 - 0.11 = 0.89
- We need to find how many grams of the sample would be left
after 10 years
∴ x = 10
- Substitute all of these values in the form of the exponential function
∵ [tex]y=500(0.89)^{10}[/tex]
∴ y = 155.9085996
- Round it to 2 decimal places
∴ y = 155.91
155.91 grams would be left after 10 years
2)
In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year
∵ The population of an Ohio town was 140,212
∴ a = 140.212
∵ The population is expected to grow at a rate of 2.5% each year
∴ r = 2.5% = 2.5 ÷ 100 = 0.025
∵ b = 1 + r ⇒ growth
∴ b = 1 + 0.025 = 1.025
- We need to find the population in 2040
∵ The number of years is 2040 - 2000 = 40 years
∴ x = 40
- Substitute all of these values in the form of the exponential function
∵ [tex]y=140212(1.025)^{40}[/tex]
∴ y = 376478.1709
- Round it to the nearest whole number
∴ y = 376,478
The population would be 376,478 in 2040
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The cost for the olive oil used to fill the containers on the tables in an Italian restaurant is given by the function f(x) = 5x – 4, where x represents the number of quarts of olive oil and f(x) represents the quarts of oil used. If f(4a) = 80, what is the value of a?
If f(4a) = 80, then the value of "a" is 4.2
Solution:
Given that cost for the olive oil used to fill the containers on the tables in an Italian restaurant is given by the function:
f(x) = 5x – 4
where "x" represents the number of quarts of olive oil
f(x) represents the quarts of oil used
To find: value of "a" when f(4a) = 80
Substitute x = 4a in given function
f(4a) = 5(4a) - 4
80 = 20a - 4
20a = 84
10a = 42
a = 4.2
Thus the value of "a" is 4.2
We want to know the value of a factor, given that we know f(4a) = 80 and the function f(x).
The value of a is 4.2
Here we start with the function f(x) = 5x - 4
Now we know that:
f(4a) = 5*(4a) - 4 = 80
Then we can just solve the above equation to find the value of a:
5*(4a) - 4 = 80
20*a - 4 = 80
20*a = 80 + 4 = 84
a = 84/20 = 4.2
The value of a is 4.2
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soledads regular pay rate is $7.50 per hour. If she works more than 40 hours in one week, she receives 1.5 times
her regular pay rate for each additional hour. How many hours would Soledad have to work in one week to earn a
total of $345?
43
45
46
44
Answer:
44
Step-by-step explanation:
pay for 40 hours: 7.50 * 40= 300
pay for 1 hour of overtime pay: 1.5 * 7.5= 11.25 per hour
11.25 * 4= 45
45 + 300= 345
40 + 4= 44
in the number 549.062 which number is in the 100th place
Answer:
5
Step-by-step explanation:
Answer: the answer is 6
Step-by-step explanation: the hundredth place is 2 spaces behind the decimal.
solve x=6y-11 3x+2y=7 by substitution
Answer:
3(6y-11)+2y=7
18y-33+2y=7
20y-33=7
20y=40
y=40/20
y=2
Put equation 1 into equation 2.
3(6y - 11) + 2y = 7
18y - 33 + 2y = 7
18y + 2y = 40
20y = 40
y = 2
x = 6(2) - 11
x = 12 - 11
x = 1
The coordinate pair is (1, 2) (x = 1, y = 2.)
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A jumbo size 90 ounces drink at a certain gas station has 890-calories. How many calories are there in a 14 ounce drink
To find the calories in a 14 ounce drink, we first determine the calorie content per ounce from a 90 ounce drink. We find it to be about 9.89 calories per ounce. Multiplying this by 14 gives us approximately 138.46 calories in a 14 ounce drink.
Explanation:To find the calories in a 14 ounce drink, we need to first determine the calorie content per ounce in the 90-ounce drink. This is found by dividing the total calories (890) by the total ounces (90). The number we get from this division (calories per ounce) can then be multiplied by the ounces in the smaller drink (14) to get the number of calories in that drink.
First, divide 890 calories by 90 ounces to find the number of calories per ounce. 890 ÷ 90 = 9.89 calories/ounceNext, multiply this number by the number of ounces in the smaller drink. 9.89 * 14 = 138.46 calories.Therefore, a 14 ounce drink from this gas station would have approximately 138.46 calories.
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please help
3×[(12+33)]÷5-7
Answer:3x(45/5)-7)
(3x9)-7=27-7=20
Step-by-step explanation:
Answer:
Step-by-step explanation:
3×[(12+33)]÷5-7 = 3 * 45/5 -7
=3*9 - 7 = 27 - 7 = 20
If my rent is 2795 a month, I agree to pay 75 more than my roommate how much do I owe and how much does my roommate owe
Answer:
The rent owe by me is Rs 1435
The rent owe by roommate is Rs 1360
Step-by-step explanation:
Given as :
The total rent of the room = x = Rs 2795
Let The room rent pay by friend = Rs y
And The room rent pay by me = Rs z
Now, According to question
The room rent pay by me = Rs 75 + room rent pay by roommate
i,e Rs z = Rs 75 + Rs y
Now, Again
The total rent of the room = The room rent pay by me + room rent pay by roommate
Or, x = Rs z + Rs y
Or, Rs 2795 = (Rs 75 + Rs y) + Rs y
Or, 2795 = 75 + 2 y
Or, 2 y = 2795 - 75
Or, 2 y = 2720
∴ y = [tex]\dfrac{2720}{2}[/tex]
i.e y = Rs 1360
So, room rent pay by friend = y = Rs 1360
And,The room rent pay by me = Rs 75 + room rent pay by roommate
Or,The room rent pay by me = Rs 75 + Rs 1360
So,he room rent pay by me = Rs 1435
Hence,The rent owe by me is Rs 1435
And ,The rent owe by roommate is Rs 1360 Answer
Correctly complete this sequence: 88511, 16351, ?, 10251
Answer:
73155 is the required 3rd number that will complete the sequence as: 88511, 16351, 73155 , 10251.
Step-by-step explanation:
So, let us consider 88511 and determine the pattern to find the next number and so on to complete the sequence.
Adding the first 2 digits in the number 88511 i.e. 8 + 8 = 16
Subtracting the 3rd digit from the 2nd digit i.e. 8 - 5 = 3
Multiplying the 3rd digit and 4th digit i.e. 5 × 1 = 5
Dividing the 4th digit by the 5th digit i.e. 1 ÷ 1 = 1
Hence, using these steps would get us the number 16351.
So, the next number would be obtained using same steps:
Adding the first 2 digits in the number 16351 i.e. 1 + 6 = 7
Subtracting the 3rd digit from the 2nd digit i.e. 6 - 3 = 3
Multiplying the 3rd digit and 4th digit i.e. 3 × 5 = 15
Dividing the 4th digit by the 5th digit i.e. 5 ÷ 1 = 5
Hence, using these steps would get us the number 73155.
So, the next number would be obtained using same steps:
Adding the first 2 digits in the number 73155 i.e. 7 + 3 = 10
Subtracting the 3rd digit from the 2nd digit i.e. 3 - 1 = 2
Multiplying the 3rd digit and 4th digit i.e. 1 × 5 = 5
Dividing the 4th digit by the 5th digit i.e. 5 ÷ 5 = 1
Hence, using these steps would get us the final number 10251.
So, from this pattern method, we determine that 73155 will be the 3rd number in the sequence: 88511,16351,?,10251.
So, the complete sequence would be: 88511, 16351, 73155, 10251.
Keywords: sequence, number
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Charlie and his friend Jay went to the fair. They were having a sale and the admission was 25% off. The regular ticket price was $9.00 and the tax is 6%. What would Charlie’s total be?
Answer:
The total of Charlie's be $7.
Step-by-step explanation:
Given:
Charlie and his friend Jay went to the fair. They were having a sale and the admission was 25% off.
The regular ticket price was $9.00.
And the tax is 6%.
Now, to find Charlie’s total.
So ,we deduct the 25% off first:
[tex]\$9.00-25\%\ of\ \$9.00[/tex]
[tex]=9-\frac{25}{100} \times 9[/tex]
[tex]=9-\frac{225}{100}[/tex]
[tex]=9-2.25[/tex]
[tex]=\$6.75.[/tex]
Now, including tax :
[tex]\$6.75+6\%\ of\ \$6.75[/tex]
[tex]=6.75+\frac{6}{100} \times 6.75[/tex]
[tex]=6.75+0.06\times 6.75[/tex]
[tex]=6.75+0.405[/tex]
[tex]=\$7.155.[/tex]
Approximately = $7.
Therefore, the total of Charlie's be $7.
You purchase 26 “parking hours” that you can use over the next month to park your food truck at the fair. Weekday hours costs $2/hour and weekend hours cost $10/hour. You spent a total of $220. How many weekday hours did you purchase?
You have purchased 5 weekday hours.
Step-by-step explanation:
Parking hours purchased = 26
Cost per hour on weekday = $2
Cost per hour on weekend = $10
Total spent = $220
Let,
Number of hours on weekdays = x
Number of hours on weekend = y
According to given statement;
x+y=26 Eqn 1
2x+10y=220 Eqn 2
Multiplying Eqn 1 by 10
[tex]10(x+y=26)\\10x+10y=260\ \ \ Eqn\ 3\\[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](10x+10y)-(2x+10y)=260-220\\10x+10y-2x-10y=40\\8x=40[/tex]
Dividing both sides by 8
[tex]\frac{8x}{8}=\frac{40}{8}\\x=5[/tex]
You have purchased 5 weekday hours.
Keywords: linear equation, elimination method
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What is 4 7/8 x 28 in simplest form
Answer:
164 and one over two
Step-by-step explanation:
47 over 8 *28
=1316 over 8
=164 and four over eight
=164 and one over two
[tex] \frac{47}{8} \times 28 \\ = \frac{1316}{8} \\ = 164 \frac{4}{8} \\ = 164 \frac{1}{2} [/tex]
Hope that helps
One teacher wants to give each students 5/9of a slice of pizza. If the teacher has 15 slices of pizza,then how many students will she be able to hand out pizza to?
Answer:
Step-by-step explanation:
10
Answer:
27
Step-by-step explanation:
To find the answer to this, you need to divide the 15 slices of pizza by 5/9. 15/(5/9) is 15*9/5 (multiply both the top and the bottom by 9 and you cancel out the 9 in the 5/9 fraction) and you get 135/5 = 27
If x equals 7. What is 3x-47
Answer: x = -26
Step-by-step explanation:
3x-47
substitute x with 7: 3(7)-47
3(7) = 21 -47 = -26
Answer:
-26
Step-by-step explanation:
x=7
3 is being multiplied by X
replace X with 7 in your equation
Your equation should then look like this: 3(7)-47
The parentheses around the 7 indicate that the 7 is being multiplied by the 3 or in other words: (3*7)-47
multiply 3 and seven before subtracting 47
3*7= 21
Once you have your answer to that subtract 47, your answer should be a negative # because you are subtracting a larger # from a smaller #
21-47= -26
so if X equals 7. 3x-47= -26
If m || n and m <8 = 115°, what is m <2
A. 180°
B. 115°
C. 65°
D. 25°
Answer: OPTION B.
Step-by-step explanation:
When parallel lines are cut by a transversal several angles are formed.
There are pairs of angles called "Alternate Interior angles".
These angles are not adjacent and they are located between the parallel lines, and on opposite sides of the transversal.
By definition, they are are congruent, or, in other words the measure of Alternate Interior angles are equal.
In this case, you can identify that the [tex]\angle 8[/tex] and the [tex]\angle 2[/tex] are Alternate Interior angles.
Based on the data given in the exercise, you know that the measure of the angle 8 is:
[tex]\angle 8=115\°[/tex]
So, You can determine that the angle 2 have the same measure. This is:
[tex]\angle 2=115\°[/tex]
what percent of 108 is 81?
Answer: 133.33
Just do 108/81x100 to get 133.33
Hope this helps!
Answer:
75%
Step-by-step explanation:
Becky’s square living room needs new carpet. She needs about 200 square feet of carpet to cover the floor. What are the approximate dimensions of the room? Estimate using perfect squares to narrow your range. Show your work.
Select the expressions that are equivalent to 12x - 6.
@ -6(2x - 1)
® 6(2x - 1)
© 6x(2-1)
-6x(2x - 1)
@ -6(-2x + 1)
® 6x(-2x + 1)
Answer:
® 6(2x - 1); @ -6(-2x + 1)
Step-by-step explanation:
12x - 6 = 6(2x- 1) Factored out 6
12x - 6 = -6(-2x + 1) Factored out -6
Mo’s farm stand sold a total of 165 pounds of apples and peaches. She sold apples for $1.75 per pound and peaches for $2.50 per pound. If she made $337.50, how many pounds of peaches did she sell?
Answer:
Step-by-step explanation:
a + p = 165......a = 165 - p
1.75a + 2.5p = 337.50
1.75(165 - p) + 2.5p = 337.50
288.75 - 1.75p + 2.5p = 337.50
-1.75p + 2.5p = 337.50 - 288.75
0.75p = 48.75
p = 48.75 / 0.75
p = 65 <==== 65 lbs of peaches were sold
a + p = 165
a + 65 = 165
a = 165 - 65
a = 100 <=== there were 100 lbs of apples sold
check...
1.75a + 2.5b = 337.50
1.75(100) + 2.5(65) = 337.50
175 + 162.50 = 337.50
337.50 = 337.50 (correct)