Answer:
77 rows
Explanation:As per the provided information in the given question, we have :
Total number of students sitting in the auditorium = 5929 studentsThere are as many students in a row as there are rows in the auditorium.We've been asked to calculate the number of rows in the auditorium.
Let us suppose the the number of rows be x. Then, the number of number of students in each row becomes x as there are as many students in a row as there are rows in the auditorium.
Now, we have to simply frame a linear equation to tackle this question. Total number of the students will be equal to the product of number of students in each row and the number of rows.
Writing it in the form of a linear equation,
[tex] \longrightarrow \sf{\quad {5929 = x \times x}} \\ [/tex]
As there are 5929 students sitting in the auditorium.[tex] \longrightarrow \sf{\quad {5929 = x^2}} \\ [/tex]
Now, put the square root symbol on both sides.[tex] \longrightarrow \sf{\quad {\sqrt{5929} = \sqrt{x^2}}} \\ [/tex]
Square root of x² is x since x × x is x².[tex] \longrightarrow \sf{\quad {\sqrt{5929} = x }} \\ [/tex]
Now, we have to find the value of √5929. By prime factorisation, 5929 = 7 × 7 × 11 × 11, make the pairs of the common factors and their product will be the square root of 5929 that is √5929 = 7 × 11 = 77.
[tex] \longrightarrow \quad\underline{\boxed{ \pmb{\frak{77 = x}} }} \\ [/tex]
Therefore, there are 77 rows in the auditorium.
Sally had her eye on a new pair of shoes for a while. She has been waiting because, at $100, they are a little pricey for her. They are on sale now for $75. If she bought the shoes now, what percentage of the original price is she saving?
Answer:
Price before discount: $100
Discount: 25%
Price after discount: $75
You save: $25
Determine the x and y intercepts of the graph of 3x + 4y = 24
Answer:
Step-by-step explanation:
3x + 4y = 24
Find the x intercept by solving intersecting the graph of f(x) or y with
y=0 (which is the x-axis)
4y= -3x+24, subtract 3x from both sides of the equation
y = (-3x/4) +6, divide both sides by 4
if y=0 then
(-3x/4) +6 = 0 , subtract 6 from both sides
-3x/4 = -6, multiply both sides by 4
-3x = -24 , divide both sides by
x= 8, so the x intercept is at (8, 0)
the general formula of a line is y=mx+b , where b is the y-intercept
since our equation is y = (-3x/4) +6 then y intercept is at (0, 6)
convert 60 miles per hur o feet per minute
Answer:
12
Step-by-step explanation:
22becuase it just right I think
Answer:
5280.
Step-by-step explanation:
multiply the miles by 88.
PLS HELP WILL MARK YOU BRAINLIEST NO FAKE ANSWERS
a air balloon is at a height of 2,520 feet. it begins to descend at the rate of 140 feet per minute.
1.Write an expression to model its height after x minutes
Answer:
2,520 - 140x
Step-by-step explanation:
It's 140 feet per minute, so if you need to find it's height after x minutes you just plug in your value for x.
Please mark brainliest if possible and have a nice day!
100 POINTS FOR THIS!!!
Answer:
m∠EFD = 90°
m∠EHF = 127°
m∠HFG = 56°
m∠G = 71°
m∠E = 19°
Step-by-step explanation:
From inspection of the given diagram, line segment GD is a straight line and m∠EFG= 90°.
Angles on a straight line sum to 180°:
⇒ m∠EFG + m∠EFD = 180°
⇒ 90° + m∠EFD = 180°
⇒ 90° + m∠EFD - 90° = 180° - 90°
⇒ m∠EFD = 90°
Angles on a straight line sum to 180°:
⇒ m∠EHF + m∠FHG = 180°
⇒ m∠EHF + 53° = 180°
⇒ m∠EHF + 53° - 53° = 180° - 53°
⇒ m∠EHF = 127°
From inspection of the given diagram, m∠EFH and m∠HFG form a right angle:
⇒ m∠EFH + m∠HFG = 90°
⇒ 34° + m∠HFG = 90°
⇒ 34° + m∠HFG - 34° = 90° - 34°
⇒ m∠HFG = 56°
Interior angles of a triangle sum to 180°:
⇒ m∠HFG + m∠GHF + m∠G = 180°
⇒ 56° + 53° + m∠G = 180°
⇒ 109° + m∠G = 180°
⇒ 109° + m∠G - 109° = 180° - 109°
⇒ m∠G = 71°
Interior angles of a triangle sum to 180°:
⇒ m∠E + m∠EFH + m∠EHF = 180°
⇒ m∠E + 34° + 127° = 180°
⇒ m∠E + 161° = 180°
⇒ m∠E + 161° - 161° = 180° - 161°
⇒ m∠E = 19°
Answer:
b
Step-by-step explanation:
A box of cookies contained 40 cookies. Sara and her friends ate 60% of the cookies. How many cookies did Sara and her friends eat? *
Step-by-step explanation:
Since Sara and friends ate 60% of the container of cookies, it means that they ate 60% of 40 cookies.
∴
How many cookies Sara and Friends ate = total × (percentage of cookie ate)
= 40 × 0.60
= 24
HELP WILL MARK YOU BRAINLIEST NO FAKE ANSWERS
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Above statement can be represented as :
[tex] \dfrac{4}{9} g + 20[/tex]therefore , the correct choice is A.
Answer:
a =4/9g +20
Step-by-step explanation:
PLS MARK BRAINLIEST
A 10 -foot ladder is leaning on a tree. The bottom of the ladder on the ground at a distance of 6 feet from the base of the tree. The base of the tree and the ground form a right angle as shown.
What is the distance, in feet, between the ground and the top of the ladder?
The distance, in feet, between the ground and the top of the ladder is 8 feet.
The diagram formed will be a right triangle having the hypotenuse, adjacent and opposite sides
To get the distance, in feet, between the ground and the top of the ladder, we will use the Pythagoras theorem as shown:
hyp² = opp² + adj²Given the following sides
length of ladder = hyp = 10footdistance from ladder to the base = adjacent = 6 feetSubstitute the given parameters into the formula to have:
10² = opp² + 6²
opp²=100 - 36
opp² = 64
opp = 8feet
Hence the distance, in feet, between the ground and the top of the ladder is 8 feet.
Learn more on pythagoras theorem here: https://brainly.com/question/2938476
Write the equation of the function whose graph IS
shown.
y = ____ (x + ____)^2 + ____
Answer:
y=1(x-5)^2+3
Please correct me if i am wrong.
Step-by-step explanation:
We know that the turning point of a graph in the form a(x+p)^2+q is (-p,q) so,
TP(5,3) means that p=-5, q=3.
To solve a for the function y = a(x-5)^2+3, we can substitute one of the points we know lie on the graph for x and y so,
Substitute (8,12) into y=a(x-5)^2+3,
12=a(8-5)^2+3
12=9a+3
9=9a
a=1,
So substitute in a,
y=1(x-5)^2+3
42 43 45 ? 52
23 ? 33 38 43
Find the question marks
Answer:
48, 28 respectively
Step-by-step explanation:
You would find the pattern for both.
1) 42, 43, 45, ?, 52
the pattern is +1, +2, +3, +4
42 + 1 = 43 +2 = 45 + 3 = 48 + 4 = 52
42, 43, 45, 48, 52
2) 23, ?, 33, 38, 43
the pattern is to add 5
23 + 5 = 28 + 5 = 33 + 5 = 38 + 5 = 43
23, 28, 33, 38, 43
naomi has earned $54 mowing lawns the past two days .She worked 2.5 hours yesterday and 4.25 hours today .if naomiis paid the same amount for every hour she works ,how much does she earn per hour to mow lawns
Answer:
8$ per hour
Step-by-step explanation
First, we need to find how many hours Naomi worked, total.
Simply add [tex]2.5+4.25=6.75[/tex]
Now we know that Naomi earned 54$ over 6.75 hours.
All we have to do to find the hourly rate is divide [tex]54/6.75=8[/tex]
Naomi earns 8$ per hour mowing lawns.
Answer:
$8
Step-by-step explanation:
Set up an equation with the payrate ($/hr) as the unknown.
2.5 × R + 4.25 × R = 54
6.75 × R = 54 ; R = [tex]\frac{54}{6.75}[/tex] = 8
Ivy wants to earn at least $800 this week in commission. What is the minimum amount she needs to sell in order to earn $800 if she earns a 6.25% commission on everything she sells? Round your answer to the nearest dollar if necessary.
Answer:
$12,800
Step-by-step explanation:
800÷0.0625=12,800
Which ones are functions?
Answer:
The first, second, third, and fourth
Step-by-step explanation:
Each input in the first, second, third, and fourth only have one output. In the fifth one 3.3 and 6.6 are seen twice as the x-value, so this is incorrect.
Cada entrada en la primera, segunda, tercera y cuarta tiene solo una salida. En el quinto, 3.3 y 6.6 se ven dos veces como el valor de x, por lo que esto es incorrecto.
The two figures are similar to find the ratios (shaded to non-shaded) of perimeters
perimeter of non-shaded part = 7
perimeter of shaded part = 9
so ratio of shaded to non shaded is =
shaded:non shaded = 9:7 = 9/7
so option b is correct
Answer:
I think it's 9/7 for the nonshaded one and the shaded one is 81/49
Step-by-step explanation: To be honest i'm using both division and multiplication that's really all ad hope I helped you out yo.
Please help :(... when I posted this with 50 points someone gave me incorrect answers..
Answer:
22)43300000, 23)~7, 24)~20
Step-by-step explanation:
22)6.48*10^(7)-(2.15*10^(7))=4.33*10^7 (or 43300000)
23)2.95*10^6=2950000, 2.15*10^7=21500000, 21500000/2950000=~7
24)1.3*10^9=130000000, 1300000000/64800000=~20
Answer:
Step-by-step explanation:
22. You can write these exponents out if it makes it easier to understand, then convert back into exponential form.
6.48 x 10⁷ = 64800000 France
2.15 x 10⁷ = 21500000 Australia
Subtracting Australia from France = 43300000
Converting back to exponential would be 4.33 x 10⁷
But if you notice both number have the exponent of 10⁷. Since these are both the same, you can just subtract the whole number for Australia from the number for France 6.48 - 2.15 = 4.33
then just put the exponent on the end. 4.33 x 10⁷
23. Again it might be easier to convert to standard numbers first.
Area of Australia = 2.95 x 10⁶ or 2950000
Population = 2.15 x 10⁷ or 21500000
So population per square mile would be population divided by area.
21500000 / 2950000 = 7.3 people per square mile
Now if you look at the two numbers, the exponents are only different by 1. You can easily make the population have the same exponent as the area by moving the decimal place of the whole number
Population 2.15 x 10⁷ is the exact same as 21.5 x 10⁶. Now since both number have the same exponents, you can cancel those out and just divide the whole numbers. 21.5 divided by 2.95 which also equals 7.3.
24. You can look at this the same way.
China population 1.3 x 10⁹ is 1300000000
France population 6.48 x 10⁷ is 64800000
Dividing China by France you get about 20.1 which means China is about 20.1 times great in population than France.
If you use the same method as in question 23, you can change the population of China so the exponent matches that of France.
1.3 x 10⁹ is exactly the same as 130 x 10⁷
Again, since both exponents are the same, you can cancel them out and just divide the whole numbers.
130 / 6.48 which also equals about 20.1
please help! circled numbers only. tysm, will mark brainliest.
Answer:
10. 3/5
12. 5/6
14. 12/17
15. 2 , 5
18.7
20. 21/22
22. 15
24. 9
26.11,21
Step-by-step explanation:
Answer:
12.
[tex] \frac{5}{6} [/tex]
18. 7
24. 9
10. 3/5
16.10
22. 15
14.12/17
20.21/22
26. 11, 12
Find the values of the variables in the figure.
Step-by-step explanation:
5y = 120
y = 24
2× = 108
x = 54
Heeeelppppppp meee pleeease
Step-by-step explanation:
as there are only 3 types of discontinuity overall : A, B and C.
there is no fourth, so D is out.
to check we use x = 2 in both equations and see, if and how the 2 connect or disconnect at that point.
5x + 4, x = 2
5×2 + 4 = 14
this is finite and a well-defined number.
2 - x, x = 2
2 - 2 = 0
this is again finite and well-defined.
but it is different from 14 above.
there is no multiplication factor or so that causes special values. so, there is no removable discontinuity. A is out.
none of the values at the point go to infinity, so there is no infinite discontinuity. B is out.
but yes, the functional value Suendenbock suddenly jumps at the point from 0 to 14 without any connection.
so, yes, it is a jump. C is right.
plz solve this!!!!!!
Answer:
where is the question?......
while at the beach, daniel buys lunch for his family from a food stand. he purchases one hot dog for $2.50 and 3 hamburgers. if he spent $13 total, write and solve and equation to find h, the amount each hamburger cost
Answer:
h= $3.50
Step-by-step explanation:
$2.50 + 3h = $13
3h = $13 - $2.50
h = $10.50 ÷3
h= $3.50
What are the values of y and z?
Answer:
y = 70°
z = 40°
Step-by-step explanation:
The two red marks in the sides HF and HG of the triangle means that it is an isosceles triangle, and it means that it have the two angles in the base with the same value, so the angle y have to be 70°. Now, the sum of the 3 internal angles of a triangle is always 180°. We have two angles with 70, so 70+70= 140°. 180-140 = 40°
Solve the equation by completing the square.
9y2 + 12y - 11 = 0
Answer:
-⅔ +⅓ √15
Step-by-step explanation:
y= -⅔ +⅓ √15
or
y = − ⅔ + -⅓ √15
I need help again! Question below!
Answer:
20
Step-by-step explanation:
If each space has an area of 5, we just have to multiply by 4 since there are 4 spaces.
4(5)=20
Answer:
100ft²
Step-by-step explanation:
Hope this helps!
In a probability model, which of the following numbers could be the probability of an outcome?
1.5 ,1/2 ,3/4 ,2/3 ,0 ,-1/4
Answer:
Step-by-step explanation:
Don’t know
What is 7054.72 rounded to the nearest 10?
Answer:
7054.7
Step-by-step explanation:
7054.7 is 7054.72 rounded to the nearst 10
Answer:
7050
Step-by-step explanation:
7050, 5 is in tens and the 4 is in ones but it's less than 5 so it will be zero
It’s going to be Lindsay’s birthday soon and her 5 friends Mary Jacqui Tadeusz opal and Tony have contributed equal amounts of money to buy her a present. They have $45.00 to spend between them. Determine how much each contributed
A. 5y = $45.00; y = $9.00
B. 5y = $45.00; y = $10.00
C. 5 + y = $45.00; y = $39.00
D. 5 + y = $45.00; y = $40.00
Answer:
5y = 45.00; y = $9.00
Step-by-step explanation:
Find the acute angles of a right triangle if:
A) one of them is 60 ° higher than the other;
B) one of them 2 times
C) The ratio of their values is 2:3.
help!!!!!!!!!
hurry up please and tell me about everything please
can someone help me im gonna be late pleasee do it for me my mom gonna kill me if i will got f
Answer:
A angles are 15 and 75 B. angles are 30 and 60 C. angles are 36 and 54
Step-by-step explanation:
Remember that the two acute angles of a right triangle = 90
A one angle = x ; the other angle = 60 + x so 60 +x + x = 90
60 + 2x = 90; 2x = 30; x = 15 one angles; the other angle is 60 + 15 = 75
B. One angle = x ; the other angle = 2x so x + 2x = 90
3x = 90 ; x = 30 one angle; the other angle s 2x = 2(30) = 60
C 2 : 3 means 2x:3x
One angle = 2x ; the other angle = 3x ; so 2x + 3x = 90
5x = 90; x = 18 this is what x is equal to. Now the find the angles:
one angle is 2x meaning 2(18) = 36 and the other angle is 3x meaning 3(18) = 54.
To check this answer one angle to the other angle is represented by the ratio 2:3; 36:54 = 2:3 Reduced!
If g(x) is the inverse of f(x), what is the value of f(g(2))?
Derek, Erica and Fred share £108 in the ratio 3:4:2
Calculate the amount of money Erica gets.
Answer:
£48
Step-by-step explanation:
3+4+2=9
108 divide by 9=12
12*4=48
Will give brainliest!
Triangle ABC is reflected across the line y = 2x to for triangle RST.
Answer: 1, 4, 5
Step-by-step explanation:
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