Answer:
g(5)=6
Step-by-step explanation:
g(5)=(5)(2)-4
g(5)=10-4
g(5)=6
RAVEL Four members of the Kaplan family will take a river trip down the Colorado River in Colorado State Park. The rafting company charges $10 per day to rent the raft and $15 per person for a half-day river trip, or $100 flat rate for a half-day river trip. The raft can hold up to 10 people. A. How much will the trip cost the Kaplan family at the per person rate? B. How many people must be on the river trip to make the flat rate less expensive than the per person rate?
Answer:
(a) $16.25
(b) 7
Step-by-step explanation:
Rent of 1 raft for 1 day= $10
So, rent for 1 raft for half-day=10/2=$5
Charge for 1 person for half-day river trip =$15
Flat rate for half-day river trip=$200
(a) There is 4 member of the Kaplan on the trip.
One raft can hold up to 10 people, so, they need to take 1 raft on rent.
Rent of 1 raft for half-day =$5
Charge for 4 persons for half-day river trip =$15x4=$60
Total cost for the half-day trip for 4 persons=5+60=$65
Cost for half-day trip for 1 person= $65/4=$16.25
(B) Let there are n peoples on the river trip.
For the number of people up to 10, they need to take one boat on rent.
Total per person cost=(Cost for rent of 1 boat for half-day)+( Cost for half-day river trip)
=5+15n.
Cost for flat rate= (Cost for rent of 1 boat for half-day)+( Flat rate cost)
=5+100
The condition for which the flat-rate cost is less expensive than the per person rate cost is
[tex]5+100<5+15n[/tex]
[tex]\Rightarrow 100<15n[/tex]
[tex]\Rightarrow n>\frac{100}{15}[/tex]
[tex]\Rightarrow n>6\frac{2}{3}[/tex]
As n is the number od person which cant be a fractional value, so
n=7,8,9,... or [tex]n\geq7[/tex]
So, a minimum of 7 people must be on the river trip to make the flat rate less expensive than the per person rate.
A. Write the formula for the volume V of a prism where B is the area of the base and h is the height. V= b. Solve the formula for B. B= c. Use the new formula to find the area of the base of the prism. The area of the base of the prism is square inches.
Step-by-step explanation:
The question lacks the required diagram, find the diagram attached.
Volume of the pyramid V = BH where;
B is the base area
H is the height of the prism.
b) To solve for B, we will have to make B the subject of the formula from the equation in a;
From (a);
V = BH
Divide both sides by H
V/H = BH/H
V/H = B
B = V/H
c) Since we are not given the volume and height of the prism, we can as well use the following parameters;
Let us assume Volume of the prism = 175in³ and eight of the prism H = 5in
Substitute this values into the equation derived in (b)
B = 175in³/5in
Hence the area of the base of the prism is square inches is 35in²
need help quick, please and thank tou
Answer: C
Step-by-step explanation:
Solve for the Variable 9x+2 10x-10
Answer:
x=12
Step-by-step explanation:
9x+2=10x-10
9x-10x=-10
-x=-10-2
x=12
x=12
Given that 7 is a zero of h(x)=x^3-7x^2-3x+21, find the other zeros.
Answer:
x= 7 x = ±√3
Step-by-step explanation:
h(x)=x^3-7x^2-3x+21
Factor by grouping
h(x) = x^2( x-7) -3 (x-7)
Factor out an (x-7)
h(x) = (x-7) ( x^2 -3)
Using the zero product property
0= (x-7) ( x^2 -3)
x-7 =0 x^2 -3 =0
x=7 x^2 =3
x= 7 x = ±√3
-1/8(2h+4)+1/2= -7/4
Answer:
h=7
Step-by-step explanation:
The distance between two schools M and K is 2km. A market is situated between M and K . How far is the market from k ?
Answer:
1 km
Step-by-step explanation:
if the distance between M and K is 2 km and the store is situated exactly in the middle between M and K then the distance to the store from either M or K is half the distance between the two points M and K and therefore 1 km
Plz help: If you know two points on a line, why can you write two different equations for that line?
Answer:
Yes
Step-by-step explanation:
I think so but im not 100% sure sorry if im inncorrect.
Answer: since there are two points there should be two equations so you could find the final equation for that whole line
Step-by-step explanation:
Solve the equation:
[tex] - 5r + 6 \leqslant - 5(r + 2)[/tex]
Answer:
[tex]\mathrm{No\:Solution}[/tex]
Step-by-step explanation:
[tex]-5r +6 \leq -5(r+2)\\\\Expand \\\\-5r+6\le \:-5r-10\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\-5r+6-6\le \:-5r-10-6\\\\Simplify\\-5r\le \:-5r-16\\\\\mathrm{Add\:}5r\mathrm{\:to\:both\:sides}\\-5r+5r\le \:-5r-16+5r\\\\Simplify\\0\le \:-16\\\\\mathrm{Therefore,\:the\:solution\:is}\\\mathrm{No\:Solution}[/tex]
(2) Un recién nacido tiene alrededor de 26,000,000,000 células. Un adulto tiene unas 4.94 x 1013células. ¿Cuántas veces tiene un adulto que un recién nacido?
Answer:
54
Step-by-step explanation:
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If Ill m, solve for x and y.
(7x -23)
49°
(3x)
(11y – 1)
Answer:
[tex] x = 18 [/tex]
[tex] y = 5 [/tex]
Step-by-step explanation:
49° + (3x)° = (7x - 23)° (corresponding angles)
[tex] 49 + 3x = 7x - 23 [/tex]
Collect like terms
[tex] 49 + 23 = 7x - 3x [/tex]
[tex] 72 = 4x [/tex]
Divide both sides by 4
[tex] \frac{72}{4} = x [/tex]
[tex] 18 = x [/tex]
[tex] x = 18 [/tex]
(3x)° = (11y - 1)° (corresponding angles)
Plug in the value of x and solve for y
[tex] 3(18) = 11y - 1 [/tex]
[tex] 54 = 11y - 1 [/tex]
Add 1 to both sides
[tex] 54 + 1 = 11y [/tex]
[tex] 55 = 11y [/tex]
Divide both sides by 11
[tex] \frac{55}{11} = y [/tex]
[tex] 5 = y [/tex]
[tex] y = 5 [/tex]
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x + 2y = 4
Answer:
y= -x+2
Step-by-step explanation:
Equation for this is y=mx+b. we just need to move the x to the other side divide by 2 and we get our answer.
Factorise this : 2p²-p-10
Answer:
Step-by-step explanation:
p(2p-1)-10
Greg earned $25 after
mowing lawns for 3
hours. How much will
he earn after 7 hours
at the same rate ?
Answer:
58.50$
Step-by-step explanation:
PLEASE HELP ME FRIEND
Answer:
The first two.
Step-by-step explanation:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
Answer:
[tex]{\huge{\pink{\underline{\underline{Answer}}}}}[/tex]
Triangle ABC and Triangle XYZ are cngruent due to S.S.S. congruence rule...
PLEASE HELP! WILL MARK BRAINLIEST - What is 2(n+1)?
Answer:
I hope that this helps... (2n-1)
Step-by-step explanation:
1)If n is a natural number, (2n-1) is an odd number for n greater or equal to 2 .
2) Is n is a whole the number the same thing applies but the range of n just has its vertex at -1.(Odd integer)
3)If n is any integer, then the range is all integers from -Infinity to +Infinity.(Odd integer)
4)If n is any complex number, n can be represented in the form of e^i thetha (Euler’s form) but nothing can b e commented on whether it is odd or even.
5)If n is any real number the range of this data can be from -Infinity to +Infinity, nothing can be commented on whether the number is odd or even.
A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do the wheels make in one minute? rev/min
Answer: The wheel make 315 complete revolutions in one minute
Step-by-step explanation: Given speed of convertible =45 miles/hr
To answer this question you will need to know how many inches the car travels Per minute.
1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.
The convertible travels 0.75 mi./min.
2. Next you will convert this number of miles to inches.
There are 63,360 inches per mile.
0.75 x 63360 = 47520 inches per minute.
3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.
C = pi x d
3.14 x 48
C = 150.72 inches
Each rotation is about 150.72 inches.
4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.
47520/150.72 is about 315.3 rotations per minute.
Answer: it’s 315.3
Step-by-step explanation: A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do the wheels make in one minute?
rev/min
2316 divided by 2.4 show your work
Answer:
956
Step-by-step explanation:
You could answer this by doing division
So you could write it as 2316 (division symbol) 2.4=956
Hope this helped a bit!
A pole that is 3.3m tall casts a shadow that is 1.53m long. At the same time, a nearby tower casts a shadow that is 47.75m long. How tall is the tower? Round your answer to the nearest meter.
Answer:
103 mStep-by-step explanation:
A pole, its shadow and a tower with its shadow form similar right triangles
Let the tower be x m tall
Then as per similarity we have the ratio of corresponding sides:
47.75/1.53 = x/3.3x = 3.3*47.75/1.53x = 103 m rounded to nearest meterEd's class took a field trip to the art museum. They left school at 10:45 A.M. It took them 15 minutes to drive to the museum. They stayed at the museum for 1 hour and 45 minutes. What time was it when Ed's class left the museum?
there are 24 students in first period. on a math test five eights of the standard and 90 or better how many students only 90 or better
In this polygon, which angle is an interior angle?
A°
C°
B°
D°
Answer:
B° is the interior angle
Step-by-step explanation:
An interior angle is an angle that is formed when two sides of a polygon share an endpoint. Therefore, B° is the interior angle because it is formed when the two sides of the polygon shown share the same endpoint.
Answer:
The correct answer would be B°
Step-by-step explanation:
"Interior" means "inside". Angle B° is the only one on the inside of the shape.
(THE QUESTION IS AT THE PHOTO)
im not sure this is the answer you are looking for but
45 can be 90 and 27 can be 108
27*2 is 54
27*3 is 81
27*4 is 108
Answer: 45 = 90
27 = 108
Step-by-step explanation: A multiple is the result of multiplying the number by any integer.
Multiply 45 by 2 and you get 90 which fits between 85 and 110.
Multiply 27 by 2, but it only reaches 54 which doesn’t fit. Multiply 27 by 3 and you get 81, which still doesn’t fit between 85 and 110. Lastly, try multiplying 27 by 4 which gives you 108. This fits between 85 and 110!
Hope this helps, feel free to ask any further questions.
what are you all being for Halloween?
2. MONEY Lars and Peter both have the
same amount of money in their wallets.
They went to the store together and
decided to buy some cookies, splitting
the cost equally. After buying the
cookies, do they still have the same
amount of money in their wallets? What
property is relevant to help you decide?
After buying the cookies, they both lost money but still share the same balance because in the question it says they went to the store together and decided to buy some cookies, splitting they cost equally, Key word Equally. since they spent the same amount as one another they still share the same balance.
Choose the equation that correctly uses the Pythagorean Theorem for the given right triangle.
a) x^2+6.8^2
b)3.8+6.8^2=x^2
c)3.8+x^2=6.8^2
d)3.8^2-x^2=6.8^2
please help i will give brainliest :)
Answer:
[tex]equation \: for \: pythagorean \: theorem \: is \: \\ {3.8}^{2} + {6.8}^{2} = {x}^{2} [/tex]
Answer:
3.8² + 6.8² = x²Step-by-step explanation:
see attached
What will be the value of y?
Answer:
The answer is 40.
Step-by-step explanation:
Both of the angles given are congruent. 2y-10=70. To get y, you must multiply 2 and 40 together, making 80. Then you subtract it by 10, making it 70 degrees.
Express your answer in scientific notation.
Answer:
14.4 × 10^13
Step-by-step explanation:
.........
find the sum. 2/5 + 1/2
Answer:
9/10 NINE OVER 10
Step-by-step explanation:
To add two fractions they must be over a common denominator, which for this problem is 10. To put each fraction over a common denominator we must multiply each fraction by the appropriate form of 1. 2/5 + 1/2 ( 2/2 X 2/5 ) + (5/5 X 1/2 ) --> 4/10 + 5/10
We can now add the numerators of the two fractions over the common denominator: 4/10 + 5/10 ---> 4+5/10 ---> 9/10.
Hope this helps! I know what does though, marking me brainliest.
John pays for a Disney annual pass each month. He was charged $150 as a down payment, and each month he pays $28. Create an equation to represent the total cost, y of his annual pass. What is the y-intercept?