Answer:
Each game cost $ 7.
Step-by-step explanation:
Given that the value $ 42 included rental of shoes at $ 3.50 per pair, knowing that Patrick bowled 2 games, and Cameron bowled 3 games, to determine how much did each game cost the following calculation must be performed:
(42 - (2 x 3.50)) / (2 + 3) = X
(42 - 7) / 5 = X
35/5 = X
7 = X
Therefore, each game cost $ 7.
Use the perfect square trinomial identity to write this expression in factored form:
x2 + 10x + 25.
Answer:
[tex] {x}^{2} + 10x + 25 \\ = ( {x}^{2} + 10x + {5}^{2} ) + (25 - {5}^{2} ) \\ = {(x + 5)}^{2} [/tex]
The population P (in thousands) of a certain city from 2000 through 2014 can be modeled by P = 160.4ekt, where t represents the year, with t = 0 corresponding to 2000. In 2007, the population of the city was about 162,075. Find the k value
Answer:
The k value is [tex]k = 0.0015[/tex]
Step-by-step explanation:
Population:
The population P(in thousands), of the city, in t years after 2000, is given by the following equation:
[tex]P(t) = 160.4e^{kt}[/tex]
In 2007, the population of the city was about 162,075.
This means that [tex]P(7) = 162.075[/tex], that is, when [tex]t = 7, P(t) = 162.075[/tex]
Find the k value
[tex]P(t) = 160.4e^{kt}[/tex]
[tex]162.075 = 160.4e^{7k}[/tex]
[tex]e^{7k} = \frac{162.075}{160.4}[/tex]
[tex]\ln{e^{7k}} = \ln{\frac{162.075}{160.4}}[/tex]
[tex]7k = \ln{\frac{162.075}{160.4}}[/tex]
[tex]k = \frac{\ln{\frac{162.075}{160.4}}}{7}[/tex]
[tex]k = 0.0015[/tex]
The k value is [tex]k = 0.0015[/tex]
Answer Please
...................................................................
Answer:
Step-by-step explanation:
In rectangle , diagonals are equal and bisect each other.
FI = EI
6x - 5 = 2x + 7 {subtract 2x from both side}
6x - 2x -5 = 7
4x - 5 = 7 {Add 5 to both sides}
4x = 7 +5
4x = 12 {Divide bot sides by 4}
x = 12/4
x = 3
EI = 2x + 7 = 2*3 +7 = 6 +7
EI = 13 units
EG = 2 *EI = 13 * 2
EG = 26 units
ΔFIG is an isosceles triangle.
∠IGF = ∠IFG = x
x + x + 120 = 180 {Angle sum property}
2x + 120 = 180 {Subtract 120 form both sides}
2x = 180 - 120
2x = 60
x = 60/2
x = 30
∠IGF = ∠IFG = 30
EH // FG and FH is transversal.
∠IHE = ∠IFG {Alternate interior angles}
∠IHE = 30°
what is the 66th term in the following arithmetic sequence
-93, -85, -78, -71
Answer:
d= a2- a1
hence d= -85-(-93) = -85+93 = 8
a1= -93
d= 8
n=66
hence a66=a1+(n-1)d
a66= -93+ 65(8)
=-93+520
=427
66th term=427
pls mark as brainliest
Need help please. Giving 15 points for answering correct!!
Answer:
the first one
Step-by-step explanation:
what is the area of the figure below
Answer:
58cm2
Step-by-step explanation:
put it in section and them slove
so area of triangle = b×h÷2= 6×3/2=9cm2
area of terpizium = 5(4+6)/2=25cm2
area of triangle = 8×6÷2=20cm2
add all these together You get 58cm2
hope this helps :)
The length of the diameter of a sphere is 8 inches. The volume of the sphere is
_______. the surface area of the sphere
A. equal to
B. less than
C. greater than
please please HELP me! this is due tonight
explaining your answer = brainliest/five star rating
the peremiter is 15 cm. c = ___ cm?
Answer:
4
Step-by-step explanation:
the perimeter is the the total length of the shape. we already know that the two sides is 8, and 3 cm. we also know that the perimeter is 15cm. 8+3 is 11 so we need to figure out the remaining length of the side. 15-11 is 4 so the missing length, c, is 4 cm.
In the month of agust, joes snack shack sold 400 sandwiches. If 40% of them were made with chicken, how many chicken sandwiches were sold?
Answer: 160 chicken sandwiches were sold.
To convert a percentage into a decimal, move the decimal two places back.
40%=0.40, or 0.4
This means that 0.4 is still equivalent to 40%
Remember that "of" means multiplication.
So 0.4*400=160
160 chicken sandwiches were sold
20% of j is 12 what is j
Answer:
60
Step-by-step explanation:
20/100 * j = 12
j = 12 * 100/20
j = 60
Select the correct answer.
Joseph plots the speed of his car and time on a scatter plot. The equation for the line of best fit on his scatter plot is y = -15x + 60, where x is the time in hours and y is the speed in miles/hour. Which statement describes the situation correctly?
A.
The initial speed is 60 miles/hour, and his speed decreases by 15 miles/hour every hour.
B.
The initial speed is 60 miles/hour, and his speed increases by 15 miles/hour every hour.
C.
The initial speed is 0 miles/hour, and his speed increases by 15 miles/hour every hour.
D.
The initial speed is 5 miles/hour, and his speed increases by 30 miles/hour every hour.
Answer:
its be without a doubt
Step-by-step explanation:
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,96) and (6,144) to find
the number of soda bottles the machine can make
each minute.
Answer:
The machine can make 24 bottles of soda per minute
Step-by-step explanation:
Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line
Thus, by calculating the slope using the given points, we can have the number of bottles per minute
We have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,96)
(x2,y2) = (6,144)
m = (144-96)/(6-4) = 48/2 = 24
If x-y = b which statement is right b - y = x, X x Y = b2, b = x - y or b = y x X (this is a question to see if the site works, I know the answer)
Answer:
b = x - y
Step-by-step explanation:
Given the expression x - y = b
We are to rewrite the value of b;
We can simply do this by swapping both sides that are putting b at the Left hand side and x - y at the right as shown
b = x - y
Hence the correct expression will be b = x - y
Brittany’s Hot Tub. When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 minutes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate.
a. Write an equation for the height of water left in the tub (h) as a function of the number of the minutes (t) that have elapsed.
b. How high is the tub when it is full?
c. After how many minutes will the tub be empty?
d. What values of the domain, t, make sense? Why?
e. What values of the range, h, make sense? Why?
Answer:
a. h = -2t + 29
b. 14.5 inches (not sure)
c. 5 1/2 minutes
d. The domain means the amount of time elapsed.
e. The value of h means the height of the water left
Step-by-step explanation:
Please help me on this question.
Answer:
This is the ans i think this is right
(I NEED HELP ASAP) In a class, there are 25 boys and 15 girls. If a student is selected at random, what is the probability that the student is a boy?
15/25
3/8
25/15
5/8
Answer: 3rd
Answer: 3rd
25/15
Simplify (6x^2 − 8x) ÷ (2x) step by step
a. 2x − 3
b. 2x + 3
c. 3x − 4
d. 3x − 8
Answer:
3x - 4
Step-by-step explanation:
(6x^2 − 8x) ÷ (2x) =
(6x^2)/2x - 8x/2x =
3x - 4
Answer:
(C). 3x - 4
Step-by-step explanation:
It will be easily to break this down so,
6/2=3
x^2/x=x
therefore, 6x^2/2x = 3x
Minus stay minus
8/2 = 4
x/x=1
therefore, 8x/2x=4
If we put it all together,
3x - 4
if this helps you, please give brainliest!
this is timed and I just need to see if i’m right! please check my work :)
The angle of depression from the top of a cliff to an ant on the ground is 35 degrees. If the ant is 280 feet from the base of the cliff, how tall is the cliff.
Answer:
Answer: 315
Step-by-step explanation:
Match each product of powers with its simplified expression
= 5-³ -³
= 5-⁶
= 1/5⁶
5⁷ × 5³= 5⁷+³
= 5¹⁰
5⁶×5 -⁴= 5⁶ - ⁴
= 5²
5-⁴×5⁴×5⁰= 5-⁴ + ⁴ × 1
= 5⁰
Answer:
answser in picturew
Step-by-step explanation:
help me with my last question for 30 to 100 points if correct
Answer
Ok i will help
Step-by-step explanation:
Yay!
the Angle opposite The OPP is
Answer:
Theta
Step-by-step explanation:
Indeed all angles of a triangle have a opposite side. And in trigonometry, the side opposite to theta is opposite side
Can someone please help
Answer:
ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm and i Oop
Step-by-step explanation:
What is the slope of the line? Khan academy 15 points
Answer:
m = -8/5
Step-by-step explanation:
First determine how much x changes as we go from the first point to the second: -1 to +4. This change (the 'run') is 5 units.
Then find the change in y: -4 - (4) = -8. This change (the 'rise') is -8.
Thus the slope m = rise / run is m = -8/5
Use the spinner to find the theoretical probability of the event.
The theoretical probability of spinning a multiple of 2 is
Answer:
1/2
Step-by-step explanation:
Theoretical probability is probability based on reasoning.
In the spinner there are 6 segments, of those 6 segments there are three multiples of two: 2,4,6
Therefore the probability of spinning a multiple of two is 3/6 (or 1/2)
Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1
Answer:
Two real distinct solutions
Step-by-step explanation:
Hi there!
Background of the Discriminant
The discriminant [tex]b^2-4ac[/tex] applies to quadratic equations when they are organised in standard form: [tex]ax^2+bx+c=0[/tex].
All quadratic equations can be solved with the quadratic formula: [tex]x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex].
When [tex]b^2-4ac[/tex] is positive, it is possible to take its square root and end up with two real, distinct values of x.
When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.
When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.
Solving the Problem
[tex]3x^2+5x=-1[/tex]
We're given the above equation. It hasn't been organised completely in [tex]ax^2+bx+c=0[/tex], but we can change that by adding 1 to both sides to make the right side equal to 0:
[tex]3x^2+5x+1=0[/tex]
Now that we can identify the values of a, b and c, we can plug them into the discriminant:
[tex]D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13[/tex]
Therefore, because the discriminant is positive, the equation has two real, distinct solutions.
I hope this helps!
how do u solve -2x=-26
Answer:
x=-14
Step-by-step explanation:
because -2(-14)=-26
Leo bought 50 lbs of clay for his art projects. He used 12.5 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Leo make if he had 27.42 lbs of clay left over?
Answer:
Total number of mug = 14 mugs
Step-by-step explanation:
Given:
Total amount of Clay Leo bought = 50 lbs
Total amount of Clay left = 27.42 lbs
Total amount of Clay used in sculpture = 12.5 lbs
Amount of clay each muh need = 0.72 lbs
Find;
Total number of mug
Computation:
Assume;
Total number of mug = a
So,
Total amount of Clay Leo bought = Total amount of Clay left + Total amount of Clay used in sculpture + (Amount of clay each muh need)(Amount of clay each muh need)
50 = 27.42 + 12.5 + (0.72)(a)
50 = 39.92 + (0.72)(a)
(0.72)(a) = 10.08
a = 14
Total number of mug = 14 mugs
Find the volume of the sphere.
Either enter an exact answer in terms of 1 or use 3.14 for and round your final answer to the nearest
hundredth.5
Answer:
The volume of the sphere is 523.60
Step-by-step explanation:
The formula for volume of a sphere is :
V = [tex]\frac{4}{3} \pi r^{3}[/tex]
The radius of this sphere is 5, so let's plug that into our equation.
V = [tex]\frac{4}{3}[/tex] · [tex]\pi[/tex] · [tex]5^{3}[/tex]
≈ 523. 59878
Rounded to the nearest hundreth that is 523.60.
What is the volume of a rectangular prism with a length of 5 cm, width of 4cm, and height of
9cm?
Answer:
180cm^3
Step-by-step explanation:
All you have to do is multiply everything together to get the volume. l x w x h
Answer:
The answer is 180 cubic centimeters.
Step-by-step explanation:
To find the volume of the rectangular prism, use the formula V= LWH. Next, plug in the information given from the question, and the formula will look like V= (5cm) (4cm) (9cm).
Then, solve the equation for the answer, and the answer will be 180 cubic centimeters.