Answer:
Number of countries in Florida=5×a-8
Number of countries in Georgia=2×f+25
Step-by-step explanation:
Given that the number of countries in Florida is denoted by f, number of countries in Arizona is given by a and the number of countries in Georgia is given by g.
as Florida has 8 less than five times the number of countries in Arizona
So f=5×a-8
Georgia has 25 more than twice the number of countries in Florida
So g=2×f+25
Now it is given that Arizona has 15 countries i.e. a=15
So f=5×15-8
f=67
g=2×67+25
g=159
Hence, number of countries in Florida is:67
number of countries in Georgia is:159
Florida has 67 counties and Georgia has 159 counties, based on the expressions given and the number of counties stated for Arizona.
Explanation:The number of counties in Florida is represented by the expression 5a - 8, where 'a' is the number of counties in Arizona. Given that Arizona has 15 counties, we substitute 'a' with '15' in the expression to get 5*15 - 8 = 67. Hence, Florida has 67 counties.
The number of counties in Georgia is represented by the expression 2f + 25, where 'f' is the number of counties in Florida. Given that Florida has 67 counties, we substitute 'f' with '67' in the expression to get 2*67 + 25 = 159. Hence, Georgia has 159 counties.
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The zoo has 218 animals in the outdoor exhibits and 454 animals in the indoor exhibits. Estimate how many animals the zoo has by rounding each number to the nearest tenth.
Answer:
670 animals
Step-by-step explanation:
First, round both numbers to the nearest ten. Remember that the numbers 4 and under round down (e.g. 143 = 140) and the numbers 5 and above round up (e.g. 145 = 150).
218 = rounds up = 220
454 = rounds down = 450
Finally, add the rounded numbers together.
220 + 450 = 670
The zoo has approximately 670 animals.
Final answer:
To estimate the total number of animals at the zoo, round the number of animals in the outdoor and indoor exhibits to the nearest tenth and add them together for the estimation. The estimated total number of animals at the zoo is 670
Explanation:
The zoo has 220 animals in the outdoor exhibits and 450 animals in the indoor exhibits.
To estimate the total number of animals, you need to round each number to the nearest tenth:
Round 218 to the nearest tenth: 220
Round 454 to the nearest tenth: 450
By rounding, the estimated total number of animals at the zoo is 670.
Adena used a qualateral in her ary design. The quadrlateral has no sides ,and only one pair of opposite sides parallel what shape of the quadrileteral she used
Answer: The quadrilateral used here is a trapezium.
Graph the following line by plotting the x and y intercepts: 5x – 3y = 15. SEE ATTACHMENT
Which option below best describes the polynomial 10x3 ?
Question 1 options:
third degree polynomial with two terms
first degree polynomial with three terms
third degree monomial
third degree binomial
It is a 3rd degree monomial, meaning it has only one term.
Hope I helped!
Solve for y.
y =
Picture in the attached , might have to zoom in
Answer:
Step-by-step explanation:
This is an equilateral triangle, 3 equal sides and 3 equal angles (60°)
so angle C is 60°
you can solve qith an equation
8y - 4 = 60
8y = 60 - 4
8y = 56
y = 56 : 8
y = 7
-------------------
check
8y - 4 = 60
(8 * 7) - 4 = 60
56 = 60 - 4
56 = 56
the answer is good
18. What is the quotient of A. 2y ? 17y R ?70 B. 2y ? 17y R 70 C. 2y + 3 D. 2y ? 3
Answer:
you need to provide the statement
Step-by-step explanation:
Select the correct answer. A moving company charges $115 to rent a truck for a three-day period, plus an additional $0.83 for each mile driven. The average cost per mile for a three-day period is given by the rational expression , where x is the number of miles driven during the rental period. What does the numerator of the rational expression represent?
Answer:The numerator represents the total cost for renting the truck over a three-day period.
Step-by-step explanation:
The numerator of the rational expression represents:
Total cost of the truck when it is rented for a three day period.Step-by-step explanation:x represent the number of miles driven during the rental period.
Also, the fixed charge of the truck when it is rented for a three day period is: $ 115
The charge per mile is: $ 0.83
This means when the car is driven x miles in three day period then the cost is: $ 0.83x
Total cost of the truck in the rental period is: 115+0.83x
This means that the average cost per mile for a three-day period is :
Ratio of total cost of truck to the number of miles driven.
i.e.
[tex]Average\ cos\ per\ mile=\dfrac{115+0.83x}{x}[/tex]
Hence, the numerator represent Total cost of truck during the rental period.
Ohn has taken out a loan for college. He started paying off the loan with a first payment of $100. Each month he pays, he wants to pay back 1.1 times the amount he paid the month before. Explain to John how to represent his first 20 payments in sequence notation. Then explain how to find the sum of his first 20 payments, using complete sentences.
Answer:
Ohn has paid $5730 in first 20 installments
Step-by-step explanation:
As per the question Ohn payed the first installment =$100
Next month Ohn payed the installment = 1.1×$100
Similarly subsequent installment =1.1×1.1×$100
So we can write first 20 installments as
⇒100+100×1.1+100×1.1²+100×1.1³.........+100×[tex]1.1^{20}[/tex]
And we know in geometric series
1+x²+x³+...........[tex]x^{20}[/tex] = (1-[tex]x^{n-1}[/tex])÷(1-x)
Therefore sum of first 20 installments will be
⇒100(1+1.1²+1.1³............[tex]1.1^{20}[/tex] =(1- [tex]1.1^{20}[/tex])÷(1-1.1)
= 100(1-6.73)÷(-.1)
=100×5.73÷.1
= $5730
So Ohn has paid $5730
Nina buys a used car from Leon’s Used Cars and pays a $500 down payment and $299 per month for 48 months. The cash price is $12,500.00. How much interest does Nina pay if she chooses NOT to pay the cash price?
Answer:
The interest is $1852
Step-by-step explanation:
We are given
down payment = $500
$299 per month for 48 months
per month installment =$299
total months =48
total amount paid = (per month installment)*( total months)
now, we can plug values
total amount paid is
[tex]=299\times 48[/tex]
[tex]=14352[/tex]
total amount paid is $14352
The cash price is $12,500.00
so,
interest = (total amount paid)-( cash price)
so, interest is
[tex]=14352-12500[/tex]
[tex]=1852[/tex]
Plz help! 25 points!
10. Soda is on sale for $0.75 a can, and you have a coupon for $0.50 off your total purchase. Write a function rule for the cost of n sodas. How much would 10 sodas cost?
A. C(n) = 0.5n - 0.75; $4.25
B. C(n) = 0.75n - 0.5; $7.00
C. C(n) = 0.5n - 0.5; $4.50
D. C(n) = 0.75n; $7.50
12. The function b(n) = 6n represents the number of light bulbs b(n) that are needed for n chandeliers. How many lightbulbs are needed for 15 chandeliers?
A. 90 lightbulbs
B. 2 lightbulbs
C. 96 lightbulbs
D. 80 lightbulbs
Answer:
10.: B. C(n) = 0.75n - 0.5; $7.00
12.: A. 90 light bulbs
Step-by-step explanation:
10. One soda costs 0.75. n sodas cost 0.75n. Then you subtract the coupon amount, so you pay 0.75n - 0.5.
The cost function is:
C(n) = 0.75n - 0.5
The cost of 10 sodas is:
For 10 sodas, n = 10.
C(10) = 0.75 * 10 - 0.5
C(10) = 7.5 - 0.5
C(10) = 7
Answer: B. C(n) = 0.75n - 0.5; $7.00
12. b(n) = 6n
The number of chandeliers is n.
If n = 15, then you have:
b(15) = 6 * 15
b(15) = 90
Answer: A. 90 light bulbs
Answer:
10. B. C(n) = 0.75n - 0.5; $7.00
12 A. 90 lightbulbs
Step-by-step explanation:
10. Cost of the purchase = number of cans * cost per can - coupon
We know the cost per can is .75 and the coupon is a one time coupon for .50
C(n) = n * .75 - .5
If we let n=10 to buy 10 cans
C(10) = 10*.75 -.50
= 7.50 - .5
= 7.00 is the cost of 10 cans
12. b(n) = 6n where n is the number of chandeliers
b(n) is the number of light bulbs
If we have 15 chandeliers how many light bulbs do we need?
b(15) = 6*15 = 90
We will need 90 light bulbs
Graph the following inequality and then select the correct graph below. x + 2 ≥ 1
Answer:
I've done this on Odyssey Ware and it's the second graph
Hope This Helps! Have A Nice Day!!
f(x) = √(3 - x)
f(-1) =
A) 1
B) 2
C) undefined
D) √2
Answer:
B
Step-by-step explanation:
To find the value of f(x) at x=-1, we substitute x=-1 and simplify.
[tex]f(-1)=\sqrt{3-(-1)}=\sqrt{3+1)} =\sqrt{4} =2[/tex]
f(-1)=2.
Answer B.
Answer:
b
Step-by-step explanation:
What is the equation of the height of a roller coaster that is 30 feet above the ground, is in a shape of a half circle and the general form of a circle with the center at the origin is x2 +y2 = r2?
Answer: [tex]\bold{y = \sqrt{900-x^2}}[/tex]
Step-by-step explanation:
The general form of a circle is: (x - h)² + (y - k)² = r² ; where
(h, k) is the centerr is the radiusSince the roller coaster is centered at the origin, then (h, k) = (0, 0)
Since the height of the roller coaster is 30, then radius (r) = 0
Equation of the circle is: (x - 0)² + (y - k)² = 30²
⇒ x² + y² = 900
To find the equation of the semicircle, solve for "y"
x² + y² = 900
y² = 900 - x²
[tex]\sqrt{y^2}=\sqrt{900-x^2}[/tex]
[tex]y = \pm\sqrt{900-x^2}[/tex]
Since we are looking for the top half of the semicircle (because it is above ground), then use the positive root: [tex]y = \sqrt{900-x^2}[/tex]
Answer:
x^2+y^2=900Step-by-step explanation:
1.Write the equation that models the height of the roller coaster.
x^2+y^2=30^2
2.Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points)
x^2+y^2=900
3.Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)
y= √(900-x^2)
What can be concluded about a pair of triangles with some congruent corresponding parts? Select all that apply.
The two triangles are always congruent.
The two triangles are never congruent.
The two triangles are sometimes congruent.
A conclusion cannot be made based on the given information.
Answer:
A conclusion cannot be made based on the given information.
Step-by-step explanation:
Take an example of such two triangles where we are given the information that two sides are congruent and an angle that is not enclosed is congruent. These two particular triangles may or may not be congruent. However, they either are or are not - that does not change in time, so the third answer "Two two triangles are sometimes congruent" is non-sense. The only remaining and correct option is the fourth one: conclusion on congruency cannot be made.
Answer:
The answer The two triangles are sometimes congruent.
Step-by-step explanation:
Karl drove 617.3 miles. For each gallon of gas the car can travel 41 miles.Select a reasonable estimate of the number of gallons of gas karl used.
Bobby hopes that he will someday be more than 70 inches tall he is currently 61 inches tall how many more inches, x,does Bobby need to grow to reach his desired height
Ms. Smith spent 7 hours driving from her home to Albany, a distance of 238 mi. Before noon, she averaged 32 mph. After noon she averaged 39 mph. Find the number of hours she traveled at each rate of speed.
A standard deck of playing cards has 52 cards: 13 spades, 13 clubs, 13 hearts, and 13 dimonds. What is the probabipity of drawing a spade from a standard 52 card deck, replacing it, then drawing another spade? Show your work or explain how you got your answer.
Final answer:
The probability of drawing a spade, putting it back, and then drawing another spade is 6.25%. This is calculated by multiplying the probability of drawing a spade twice with replacement.
Explanation:
The probability of drawing a spade from a standard deck of 52 cards is 13/52, since there are 13 spades in a deck. If you replace the card and reshuffle, the condition remains the same for the second draw.
Therefore, the probability of drawing another spade is also 13/52. To find the combined probability of two independent events, you multiply the probabilities of both events occurring.
Thus, the probability of drawing a spade, replacing it, and then drawing another spade is:
(13/52) × (13/52)
When you calculate that, you get:
= 169/2704
= 0.0625 or 6.25%
This means that there is a 6.25% chance of drawing a spade, replacing it, and drawing another spade on two consecutive draws from a standard deck of cards.
What are the first three terms of the sequence defined by the following equation?
an = 6+(n- 1)(-4).
Answer:
A
Step-by-step explanation:
First term = 6 + (1 -1)(-4) = 6 + 0 = 6.
2nd term = 6 + (2 - 1)(-4) = 6 + (-4) = 2.
a3 = 6 + (3 - 1)(-4) = 6 + (-8) = -2.
Its Choice A.
[tex]a_n=6+(n-1)(-4)=6+(n)(-4)+(-1)(-4)=6-4n+4=10-4n[/tex]
Put n = 1, n = 2 and n = 3 to the equation:
[tex]a_1=10-4(1)=10-4=6\\\\a_2=10-4(2)=10-8=2\\\\a_3=10-4(3)=10-12=-2[/tex]
Answer: A. 6, 2, -2.an empty kitchen cabinet has 8 shelves and each shelf can hold no more than 30 cans you want to arrange 40 cans in the kitchen cabinet so that the same number of cans is on each shelf that you use
(a) list the factors of 40
(b) list the factors of 40 that represent the number of cans that could be on each shelf
(c) how many different arrangements of cans are possible
(d) what are the possible arrangements of the cans
Answer:
(a)
[tex]40=1,2,4,5,8,10,20,40[/tex]
(b)
factor=5 can only hold it
(c)
Only one arrangement is possible
(d)
we can put 5 cans into all 8 shelves
(e)
[tex]40=8\times 5[/tex]
Step-by-step explanation:
We are given
an empty kitchen cabinet has 8 shelves
and each shelf can hold no more than 30 cans you want to arrange 40 cans in the kitchen cabinet
so that the same number of cans is on each shelf that you use
(a)
we can find all possible factors of 40
[tex]40=1,2,4,5,8,10,20,40[/tex]
(b)
Since, an empty kitchen cabinet has 8 shelves
so, one of factor of 40 must be 8
so,
[tex]40=8\times 5[/tex]
So, factor=5 can only hold it
(c)
Only one arrangement is possible
because there is only one such possible factor
[tex]40=8\times 5[/tex]
(d)
Since, we got
[tex]40=8\times 5[/tex]
So, we can put 5 cans into all 8 shelves
(e)
Since, there are 8 shelves
and we can put 5 cans on each shelves
so, possible arrangement is
[tex]40=8\times 5[/tex]
Answer:
(a) 40 = 1 x 40, 2 x 20, 4 x 10, or 5 x 8. Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
(b) Factors: 5, 8, 10, 20
(c) 4, that is, the quantity of factors in (b)
(d) 5 cans in 8 shelves, 8 cans in 5 shelves, 10 cans in 4 shelves, 20 cans in 2 shelves.
Mr. Andrews has a classroom of 45 students. He wants to divide them equally into 5 teams for a group project.
How many students will be on each team?
A) 7
B) 8
C) 9
D) 10 what the answer
Answer:
C) 9
Step-by-step explanation:
well 45/5 would eqaul 9 exactly
To find out how many students will be on each of Mr. Andrews' 5 teams, divide the total number of students, 45, by the number of teams, which results in 9 students per team. C is correct.
To determine how many students will be on each team when Mr. Andrews divides his classroom of 45 students equally into 5 teams, you need to divide the total number of students by the number of teams. This is a division problem in mathematics.
Here is the calculation:
Write down the total number of students: 45.
Write down the number of teams: 5.
Divide the total number of students by the number of teams:
45 ÷ 5 = 9.
So, there will be 9 students on each team, which corresponds to option C.
Bobby jo made 60 holiday cookies. 4/5 of the cookies are for her teachers and the rest are for her family .How many cookies are for Bobbie jo family
Answer:
12
Step-by-step explanation:
60 divided by 5 is 12, so Bobby jo would give her teachers 48 and 12 to her family
Final answer:
To find the number of cookies for Bobby Jo's family, subtract the number of cookies for her teachers from the total number of cookies she made.
Explanation:
To find the number of cookies for Bobby Jo's family, we need to subtract the number of cookies for her teachers from the total number of cookies she made. Bobby Jo made 60 holiday cookies and 4/5 of these are for her teachers. To calculate the number of cookies for her teachers, we multiply 60 by 4/5:
Number of cookies for her teachers = 60 x 4/5 = 48 cookies
Since the rest of the cookies are for her family, we subtract the number of cookies for her teachers from the total number of cookies to find the number of cookies for her family:
Number of cookies for her family = 60 - 48 = 12 cookies
Mrsjones has 1 4/8 pizza left after giving some to Greg she had 7/8 left how much did Greg take
Answer:
5/8
Step-by-step explanation:
well we 1 14/8 so lets turn that to a whole number which is 12/8 (you multiply the denominator by 1 and add the 4)
12/8 - 7/8 = 5/8 ( since both denominators are the same numbers you can simply subtract the numerator )
59 points - 12 points whats your grade
Answer:
59-12 would be 47 points and by all means you would have an F
Step-by-step explanation:
59-12=47
Which number(s) are 6 units from zero on a number line?
-6
12
6
3
Answer: 6 and -6
Step-by-step explanation:
6 Is the distance from zero, since distance cannot be negative, it does not matter if we go left or right on the number line, it will still be 6 units away from zero.
The numbers 6 units from zero on a number line are -6 and 6. These numbers are at an equal distance from zero but in opposite directions, with -6 being on the left (negative side) and 6 on the right (positive side) of zero.
The numbers that are 6 units from zero on a number line are -6 and 6. Both of these numbers are at an equal distance from zero, but in opposite directions. The number -6 is to the left of zero, representing a negative value, and the number 6 is to the right of zero, representing a positive value.
Therefore, the correct answers are -6 and 6.
The numbers 12 and 3 mentioned in the question are not 6 units from zero; 12 is much farther than 6 units away, and 3 is closer than 6 units to zero.
A point on the unit circle lies on the terminal side of an angle in standard position in Quadrant III .
Select from the drop-down menus to correctly complete each statement.
The cosine of the angle is . Negative or Positive
The sine of the angle is . Negative or Positive
The cosine of the angle is Negative.
The sine of the angle is Negative.
The given angle's terminal side resides in the third quadrant.
In the first quadrant, all trigonometric ratios are positive.
In the second quadrant, only sine and cosecant are positive.
In the third quadrant, only tangent and cotangent are positive.
In the fourth quadrant, only cosine and secant are positive.
In the third quadrant, both sine and cosine of given angle are negative.
Thus, the cosine of the given angle is Negative and
the sine of the given angle is Negative.
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Every bike at a sports store is on sale for 25% off the regular price. About how much would a bike cost that regularly sells for $145?
Answer:
The bike will cost $108.75
Step-by-step explanation:
In order to find the amount, you must multiply the cost by the percentage being paid. Since the mark down is 25%, you are paying 75% of the overall cost. So multiply 75% by $145.
75% * $145 = $108.75
The perimeter of a rectangle is 26 meters. The difference between the length and the width is 5 meters. Find the width
Match the equation with its graph -3x+5y=15
Answer:
The fourth graph.
Step-by-step explanation:
The best way to do this is to first convert the equation to slope-intercept form. Then it is easy to see the slope and y intercept.
-3x + 5y = 15
5y = 3x + 15
y = 3/5x + 3 is slope intercept form.
The slope is 3/5 and the y-intercept is at y = 3.
It is the fourth graph.
Vanessa earns a base salary of $400.00 every week with an additional 5% comission on everything she sells.Vanessa sold $1650.00 worth of items last week.