Answer:
x = cost of games bowled = $6
y = cost of shoe rental = $4.50
Step-by-step explanation:
Let
x = cost of games bowled
y = cost of shoe rental
2x + y = 16.50 (1)
4x + y = 28.50 (2)
Subtract (1) from (2) to eliminate y
4x - 2x = 28.50 - 16.50
2x = 12
x = 12/2
x = 6
Substitute x = 6 into (1)
2x + y = 16.50 (1)
2(6) + y = 16.50
12 + y = 16.50
y = 16.50 - 12
y = 4.50
x = cost of games bowled = $6
y = cost of shoe rental = $4.50
HELP!! An apartment building is infested with 6.2 x 10^3 rats. on average each of these rats produces 5.5 x 10^1 offspring each year. assuming no rats leave or die, how many additional rats will live in this building one year from now? write your answer in standard form.
The additional rats will live in this building one year from now is 3.41 x 10^5.
What is the additional number of rats?Standard form is used in expressing large numbers in smaller numbers. In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
(6.2 x 10^3) x ( 5.5 x 10^1) = 34.10 x 10^4
= 3.41 x 10^5
To learn more about standard form, please check: https://brainly.com/question/25334755
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6.
Which of the quadratic functions has the narrowest graph?
A. y = –x2
B. y = 4x2
C. [tex]y=\frac{1}{4} x^2[/tex]
D. [tex]y=\frac{1}{9} x^2[/tex]
Answer:
B. y = 4x2
Step-by-step explanation:
Answer: The quadratic function y=4x^2 has the narrowest graph.
HELPPPPPPP PLEASE HELPPPPPPPPPPPPP IM BEGGING SOMEONE PLEASE HELP
Solve 24n=72
Pls help!!!
Answer:
n = 3
Step-by-step explanation:
Divide both sides by 24:
n = 72 / 24
n = 3
How much did he originally deposit??
Answer:
$200
Step-by-step explanation:
200/5=40
40x5=200
To solve, you multiply the interest by the interest rate
This gets you the total. The interest is also seperate amount so he now has $240
Feeling cool today, here’s a math riddle!
My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house?
Answer:
19 and 91
Step-by-step explanation:
The eight pair (81,18) and 63 is result. The ninth pair(91,19) and finally answer is "72". Here, we get the pair (91,19) in which we get 2 at unit place digit and 19 and 91 are the lowest possible numbers of hous
Two angles are supplementary. One angle has a measure of 51 degrees. What is the measure of the second angle?
Answer:
129°
Step-by-step explanation:
Sum of supplementary angles = 180°
One angle = 51°
Other angles = 180° - 51°
= 129°
Plz mark as brainliest!!!!!
Find the value of x with the other angles of 33 and 99
Answer:
48°
Step-by-step explanation:
33+ 99= 132
180 is the sum of all angles so u would subtract 132 from 180 giving you the answer
Answer:
If x is the last angle of a triangle, x=48. is its a just angles its, x=228.
Step-by-step explanation:
If it's a triangle its because triangle sum theorem states that all angles in a triangle add up to 180 degrees. So add the angles you know an subtract it from 180.
If it's just angels then you just need to again, add the angles you know but this time subtract it from 360 as that's he most degrees an angle can go.
PLEASE HELPPP PLEASEE
Answer:
Step-by-step explanation:
yes
PLEASE HELP ASAP!! EXPLANATION = BRAINLIEST! THANK YOU SO SO MUCH
A model of Spaceship Earth, a major tourist attraction at Epcot Center in Florida, is a sphere whose diameter is approximately 5 inches.
The volume of the model sphere is approximately ___ cubic inches.
Use 3.14 for pi. Round only your final answer to the nearest hundredth.
Answer:
See below.
Step-by-step explanation:
As the diameter is 5 inches, the radius “r” is 5/2 = 2.5 inches.
We calculate the volume of a sphere as follows: [tex]V = 4/3 \pi r^3[/tex]
As we have to use 3.14 for pi, we’ll use that instead of “true” pi.
The formula becomes:
[tex]V = 4/3*3.14*2.5^3 = 65.42[/tex]
The volume of the sphere is 65.42 cubic inches.
Please help!!!! Giving brainliest and extra points!!!! (Click on the photo)
Answer:
i dont understand the question much cuz its only told berries so i think is both rasberry and strawberry
Step-by-step explanation:
if so here my solve: Both berries are 38% of the graph, we have equation 38%×290 = 110,2
hmmmm maybe the ans is D. 110
Javi has a bag of marbles that are identical in size. He has 6 red, 4 blue, 7 yellow, and 3
orange marbles. If he draws out two marbles from the bag without replacement, what is the
probability that the first one is red and the second one is orange?
Answer: 50
Step-by-step explanation:
40% of 50 is 20.
We know that 20 of the 50 are plums.
below is just other bits of the problem
There's 30 fruit left.
We know that the ratio for peaches to apricots is 2:3.
If we add 2 and 3 together we get five.
Five divides into 30 six times.
Meaning, we could have 18 apricots, and 12 peaches.
Add all of these numbers together, and you get 18 apricots, 12 peaches, and 20 plums.
18 + 12 + 20 = 50
:>
Andrew pays $15 for a haircut . He leaves a 20% tip. What is the total amount andrew pays for the haircut, including the tip?
Answer:
$18.00
Step-by-step explanation:
Start by working out 10%, that's easy:
15 ÷ 10 = 1.5
That means a 10% tip would be $1.50, so a 20% tip would be twice that amount:
1.50 x 2 = 3
A 20% tip is $3.00, and added on to the original $15.00, the total is $18.00
5x+8y=-12 3x+5y=-7 what is the solution
Answer:
[tex]5x + 8y = - 12 - - - (a) \\ 3x + 5y = - 7 - - - (b) \\ 3\times (a) - 5 \times (b) : \\ = > 0x - y = - 1 \\ y = 1 \\ 3x + 5 = - 7 \\ 3x = - 12 \\ x = 4 \\ { \boxed{x = - 4}} \\ { \boxed{y = 1}}[/tex]
Quick question: if I post my final exam for geometry is someone willing to help me pass. This is my second time doing this final?
Answer:
sure
Step-by-step explanation:
Shanices school is selling Tickets to the annual talent show. On the first day of ticket sales the school sold 5 adult tickets and 8 child tickets for a total of $102. The school took in $39 on the second day by selling 2 adult tickets and 3 child tickets. Find the price of an adult ticket.
Answer:
Children tickets = $9
Adult tickets= $6
12. Three-fifth of senior students are girls;
a) What is the fraction of boys?
b) If there are 120 boys, how many girls are there?
Answer:
There are 72 girls
Step-by-step explanation:
3/5 = 60%
So 60% of 120 is 72
Hope this helps!
A spinner used in a board game is divided into 12 equally sized sectors. Seven of these sectors indicate that the player should move his token forward on the board, three of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 45.1 inches squared. What is the radius of the spinner
Answer:
9.3 inches
Step-by-step explanation:
The computation of the radius of the spinner be given below:
Let us assume the same be x
So
We know that
Total area of the sector = one-sixth of the total area of the spinner
Given that
45.1 = 1 ÷ 6 × π × r^2
r^2 = 45.1 × 6 ÷ π
r^2 = 86.1
r = 9.279
= 9.3 inches
PLEASE HELP*** (picture attached)
Answer:
i remember doing this but i forgot the answers
Step-by-step explanation:
sorry :(
Answer:
0,0 means the origin so put place it on the origin.
hey! i’ll give brainliest please help
Step-by-step explanation:
I'm guessing
second one
removing some of the sentences
Answer:
changing the sentence pattern
Step-by-step explanation:
I hope you have a great day :)
Find the area of the shaded region.
800
5 cm
A=[?] cm2
Enter a decimal rounded to the nearest tenth.
Enter
If the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.
Given that the radius of the circle is 5 cm and central angle is 80°.
We are required to find the area of the shaded region.
The area of the shaded region is basically the difference between the area of the whole circle and the area of the arc which is not shaded.
Area of circle=π[tex]r^{2}[/tex]
=3.14*25
=78.5 [tex]cm^{2}[/tex]
Area of the arc =([tex]r^{2}[/tex]Θ)/2
=(25*80π)/2*180
=(25*80*3.14)/360
=6280/360
=17.44
Area of the shaded region=78.5-17.444
=61.056
After rounding off to the nearest tenth it will be as under:
=61.06
Hence if the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.
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what is the value of x, if x = 3²
Show Explanation
A. 32
B. 9
C. 8
D. 6
Answer:
9
Step-by-step explanation:
x = 3^2
x = 3*3
x = 9
Answer: . 9
Step-by-step explanation:
Simplify both sides of the equation.
HELP!!!! ASAP
NO LINKS!!!!
Answer:
17.98
Step-by-step explanation:
We can use the sum of a finite geometric series formula(in the picture). We can start by plugging in what we have. As of now, we have the first term, 12 and by dividing a term by a previous term, we can tell that the common ratio, r is 1/3. Lastly, we can say that n is equal to 6, because we are looking for the sum of the first 6 terms. After substituting we get:
[tex]\frac{12 - 12*(\frac{1}{3})^6}{1-\frac{1}{3} }[/tex]
We can start by simplifying:
[tex]\frac{12-12(\frac{1}{729}) }{\frac{2}{3} }[/tex]
[tex]\frac{\frac{2916}{243} -\frac{4}{243} }{\frac{2}{3} }[/tex]
[tex]\frac{\frac{2912}{243} }{\frac{2}{3} }[/tex]
[tex]\frac{2912}{243}*\frac{3}{2}[/tex]
[tex]\frac{1456}{81}[/tex]
17.975308642
This can be rounded to 17.98
Answer:
17.98Step-by-step explanation:
Given:
a₁ = 12r = 1/3n = 6Find the sum:
Sₙ = 12(1 - (1/3)⁶)/(1 - 1/3) = 12(1 - 1/729) / (2/3) = 18(728/729) = 17.98 roundedWhich value(s) of x are solution(s) of the equation below
Answer:
x =-1 , x=4Step-by-step explanation:
[tex]\frac{1}{x-4}+\frac{x}{x-2}=\frac{2}{x^2-6x+8}\\\\\mathrm{Multiply\:by\:LCM=}\left(x-4\right)\left(x-2\right)\\\\\frac{1}{x-4}\left(x-4\right)\left(x-2\right)+\frac{x}{x-2}\left(x-4\right)\left(x-2\right)=\frac{2}{x^2-6x+8}\left(x-4\right)\left(x-2\right)\\\\Simplify\\\\x-2+x\left(x-4\right)=2\\\\Solve\\\\x=4,\:x=-1[/tex]
Answer:
[tex] \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{ {x}^{2} - 6x + 8} \\ \\ \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{(x - 4)(x - 2)} \\ \\ \frac{(x - 2) + x(x - 4)}{(x - 4)(x - 2)} = \frac{2}{(x - 4)(x - 2)} \\ \\ x - 2 + {x }^{2} - 4x = 2 \\ \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x = 4 \: \: and \: \: x = - 1[/tex]
find the missing sides of the triangle
Answer:
D
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{f}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
f = 24
----------------------------------------------------------------
Using the cosine ratio and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{e}{f}[/tex] = [tex]\frac{e}{24}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2e = 24[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
e = 12[tex]\sqrt{3}[/tex]
Answer:
F=24 and e=12[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Jenny has 3 times as many new toys as she has favorite toys. The total number of toys is 60. How many favorite toys might Jenny have?
Answer:Jenny has 15 favorite toys
Step-by-step explanation:
Jenny has 3 times as many new toys as she has favorite toys means that the ratio of new toys to favorite toys can be written as 3:1
Total Ratio=3+1=4
Since the total number of toys is given as 60
Amount of Favorite toys = ratio of favorite toys / Total ratio x Total number of toys
Amount of Favorite toys = 1/4 x 60=15
Therefore Jenny has 15 favorite toys.
What is the length of the hypotenuse?
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
9^2+12^2=c^2
81+144=c^2
[tex]\sqrt{225[/tex]=c
15=c
complete the missing parts of the table for the following function y=4x
Answer:
4, 64
Step-by-step explanation:
y = [tex]4^{1}[/tex] = 4
y = [tex]4^{3}[/tex] = 64
What is geometric mean of 4 and 32???????
Answer: 18
Step-by-step explanation:
I just found the number in between
Answer:
8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{4(32)}[/tex]
= [tex]\sqrt{128}[/tex]
= [tex]\sqrt{64(2)}[/tex]
= [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex]
= 8[tex]\sqrt{2}[/tex]
I just need help with first 2! Show work please it’s due soon and round answers to the nearest tenth !!!
Answer:
1. To find the volume of a cylinder you'll need to use the formula V = pi(r)^2(h)
V = pi(4)^2(6)
V = 301.59
Rounded* = 301.6
2. A beach ball is a sphere, so we're going to use the formula 4/3pi(r)^3
4/3pi(18)^3
D = 24429.02
Rounded* = 24429.0
I cant read the last one completely, hope this helps.