The total number of children in Stephan's school prefer pepperoni pizza where 375 children in Stephan's school is 310.
What is equivalent ratio?Equivalent ratio is the ratio which is same in the value as the original ratio, but the numerator and denominator is different for both the ratios.
Stephan read that 62 out of every 75 children prefer pepperoni pizza. Thus, the ratio of children who prefer pepperoni pizza to the total children is,
[tex]n=\dfrac{62}{75}\\[/tex]
Let suppose there are x children in Stephan's school prefer pepperoni pizza. There are 375 children in Stephan's school. The ratio of children who prefer pepperoni pizza to total 375 children is,
[tex]\dfrac{x}{375}[/tex]
Both the above ratio are for the same condition, and are equivalent ratio. Thus,
[tex]\dfrac{x}{375}=\dfrac{62}{75}\\x=\dfrac{62}{75}\times375\\x=310[/tex]
Thus, the total number of children in Stephan's school prefer pepperoni pizza where 375 children in Stephan's school is 310.
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55. Find the inverse function of [tex]g(x)=\log _{4}\left(x^{3}+2\right)[/tex] .
[tex]y= g(x) = \log_4 (x^3 +2)\\\\\text{Replace x with y and solve for y:}\\\\~~~~x=\log_4 (y^3 +2)\\\\\implies y^3 +2 = 4^x\\\\\implies y^3 =4^x-2\\ \\\implies y = \sqrt[3]{4^x -2}\\\\\implies f^{-1} (x) = \sqrt[3]{4^x -2}[/tex]
Find center and radius of this circle:
[tex](x-9)^2+(y+4)^2=25[/tex]
Answer:
Center: (9,-4)
Radius: 5
Step-by-step explanation:
Equation for a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
h=9
k=-4
r=5
center is (h,k)
to find the radius, get square root of 25
Answer:
Center is (9,-4)
Radius: 5
Step-by-step explanation:
h=9
k=-4
r=5
Choose the inequality represented in the graph.
A. y ≥ -4/5x - 3
B. y > -5/4x - 4
C. y > -4/5x - 3
D. y < -5/4x - 3
Answer:
C
Step-by-step explanation:
The line is dotted, so the sign is non-inclusive.
The dotted line is y = -(4/5)x - 3.
The section of the graph above the line is shaded so this inequality is "greater than".
So, putting these together, you get:
C. y > -(4/5)x - 3
Please help this mad hard
Answer:
First Net
Step-by-step explanation:
The first net will be the answer because you can see that the figure has a square base. The first net has a square base as well. Now, the side of the figure has equal triangles, and so does the first net. The first net fits the figure best.
Hope this helps :)
How many apples do you need to baked 3 apple pies if each pie need 5 apples?
Answer:
15
Step-by-step explanation:
Each pie requires 5 apples
5x3=15
Answer:
Step-by-step explanation:
1 apple pie = 5 apples
3 apple pies x 5 apples = 15 apples
graph of F(x), shown below, has the same shape as the graph of G(x) = x4, but it is shifted 4 units to the right. What is its equation?F(x) = _____
Answer:
G(x) = (x-4)⁴
Step-by-step explanation:
The equation of the graph of f(x) which is formed by shifting 4 units to the right of g(x) is f(x) = (x - 4)⁴
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given a function G(x).
G(x) = x⁴
A function F(x) is formed by shifting the graph of G(x) to the right by 4 units.
A function h(x) when shifted to the right by k units becomes h(x - c).
So the graph of G(x) when shifted to the right by 4 units becomes G(x - 4).
G(x - 4) = (x - 4)⁴
So, F(x) = (x - 4)⁴
Hence the function is F(x) = (x - 4)⁴.
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What does "Y" equal? Answer ASAP and whoever gets it right can have brainliest
Answer:
Y = 21
To solve this, do the inverse of division, multiplication. Multiply 3 by the result, 7, and you get 21 as your answer to the missing digit.
Alguien podra ayudarme en pregunta numero 8
Answer:
jb
Step-by-step explanation:
9
PLEASE HELP howard has 3 times money as ronald if howard gives ronald $50, Ronald will then have 3 times as much as howard how much money in dollars will the two of them have together. Brainliest for answer
Answer:
$100
Step-by-step explanation:
What we know,
Howard has 3 times more money than RonaldIf Howard gives Ronald $50, Ronald will then have 3 times more money than HowardLet us assume that Ronald has $25, so Howard must have $75,
Now Howard gives $50 to Ronald, Now Ronald has $75,
Therefore our assumption is correct,
Therefore Ronald and Howard together will have $100.
Andrew wants to lay new turf in his garage.Andrews garden is a rectangle measuring 3m by 4m,New turf cost 12.50pr m2.
How much will it cost Andrew to get enough new turf for his garden?
I WOULD REALLY APPRECIATE YOUR HELP
Answer:
$150
Step-by-step explanation:
The area of the lawn is 12m so 12 x 12.50 is 150. It would cost $150
can anyone help find the area pls ty
Answer:
53.72
Step-by-step explanation:
apply area of triangle and rectangle and add them
Jim is 8 ft 9 in tall. Jane is 23.5 in tall. How many times taller than Jane is Jim?
A person with type O blood can donate red blood cells to anybody because type O blood is the universal blood type. About 44% of the US population has type O blood. University High held a blood drive where 50 students donated blood.
Part A: What is the probability that exactly 25 of the students had type O blood?
Part B: What is the probability that at least 25 of the students had type O blood?
Answer:
Part A.
k= 25
p= 44% = 0.44
n= 50
P(x = k) = (nk) p^k (1 - p) ^n - k
P(x = 25) = (50 25) (0.44)^25 (1 - 0.44) ^50 - 25
50!/25!(50 - 25)!
50!/25!(25)! = 1.264106 x 1014
P(x=25) = (1.264106 x 1014)(0.44)^25(0.56)^25
= 0.07812
= 7.8% probability that exactly 25 students have type O blood
Part B.
Do the same math you did above. Just replace 25 with 26 and 27 :)
25 = 7.8% probability
26 = 0.01851
= 1.8% probability
27 = 0.00405
= 0.4% probability
The sum of the first 10 terms of an arithmetic series is 100 and the sum of next 10 300 .Find the series.
Let a be the first term in the sequence, and d the common difference between consecutive terms. If aₙ denotes the n-th term in the sequence, then
a₁ = a
a₂ = a₁ + d = a + d
a₃ = a₂ + d = a + 2d
a₄ = a₃ + d = a + 3d
and so on, up to the n-th term
aₙ = a + (n - 1) d
The sum of the first 10 terms is 100, and so
[tex]\displaystyle \sum_{n=1}^{10} a_n = 100 \\ \sum_{n=1}^{10} (a + (n-1)d) = 100 \\ (a-d) \sum_{n=1}^{10} 1 + d \sum_{n=1}^{10} n = 100 \\ 10a+45d = 100[/tex]
where we use the well-known sum formulas,
[tex]\displaystyle \sum_{n=1}^N 1 = 1 + 1 + 1 + \cdots + 1 = N[/tex]
[tex]\displaystyle \sum_{n=1}^N n = 1 + 2 + 3 + \cdots + N = \frac{N(N+1)}2[/tex]
The sum of the next 10 terms is 300, so
[tex]\displaystyle \sum_{n=11}^{20} a_n = 300 \\ (a-d) \sum_{n=11}^{20} 1 + d \sum_{n=11}^{20} n = 300 \\ (a-d) \left(\sum_{n=1}^{20} 1 - \sum_{n=1}^{10} 1\right) 1 + d \left(\sum_{n=1}^{20} n - \sum_{n=1}^{10} n\right) = 300 \\ 10a+145d = 300[/tex]
Solve for a and d. Eliminating a gives
(10a + 145d) - (10a + 45d) = 300 - 100
100d = 200
d = 2
and solving for a gives
10a + 145×2 = 300
10a = 10
a = 1
So, the given sequence is simply the sequence of positive odd integers,
{1, 3, 5, 7, 9, …}
given recursively by the relation
[tex]\begin{cases}a_1 = 1 \\ a_n = a_{n-1} + 2 & \text{for }n>1\end{cases}[/tex]
and explicitly by
[tex]a_n = 1 + 2(n-1) = 2n - 1[/tex]
for n ≥ 1.
What is the value of x? A=55 B=80
Answer:
x = 45°
Step-by-step explanation:
80° + 55° + x = 180°
135° + x = 180°
x = 45°
Without graphing, find the slope of the line that goes through (-3, 1) and (1,3).
Answer:
1/2 i think using a app brjejfj
Question 3 of 10
which choice is equivalent to the quotient
According to the property
below?
O A -5
B. 25
C5
OD. - 5
ES
Answer: D: Square Root Of 5
Step-by-step explanation: 30/6 is 5, now fill in the sqrt symbol. Hope this helped. (This problem was one of the simpler, friendlier numbers.)
Help please!! MY LIFE DEPENDS ON THIS
Answer:
D
Step-by-step explanation:
A total of 18 teams made 26 or more feild goals.
3. Subtract
x)--5x2 + x-2
g(x) = -3x2 + 3x + 9 9
Step-by-step explanation:
For example: Subtract 4x - 10y + 15z from 5x + 8y - 20z.
Step 1: Arrange the polynomials in standard form. In this example, it is already arranged.
Step 2: Place them horizontally.
(4x - 10y + 15z) - (5x + 8y - 20z)
Step 3: Change the sign of the second polynomial through the parentheses.
4x - 10y + 15z - 5x - 8y + 20z
Step 4: Arrange the like terms together.
4x - 5x - 10y - 8y + 15z + 20z
Step 5: Solve the equation
-x - 18y + 35z
Therefore, when we subtract 4x - 10y + 15z from 5x + 8y - 20z = -x - 18y + 35z.
Find the area (image attached) this is literally my 3 time asking
I'll help you!
Answer:
EXACT: 2.7√1.71 + 4.05 units²
APPROX: 3.5307 + 4.05 = 7.58 units²
Step-by-step explanation:
See the attached help image
Total A = 2 triangles + 1 trapezoid
Triangles
Find missing side:
2.7² + b² = 3²
b² = 3² - 2.7²
b = √1.71
Find area of triangles:
A = bh/2
A = b(2.7)/2
A = √1.71(2.7)/2
A = 1.35√1.71 units²
Trapezoid
A = (a + b)(h)/2
A = ((3-√1.71) + √1.71)(2.7)/2
A = (3)(2.7)/2
A = 4.05 units²
Total
2(1.35√1.71) + 1(4.05)
EXACT: 2.7√1.71 + 4.05 units²
APPROX: 3.5307 + 4.05 = 7.58 units²
also may i have help with this one
There are 114 cans of soup in a grocery store. The ratio of large cans of soup to small cans of soup is 12:7. A customer buys 2 large cans of soup. What is the new ratio of large cans of soup to small cans of soup in the grocery store? Choose all the correct answers. A. 3:5 B. 5:3 C. 8:5 D. 10:7 E. 35:21 F. 37:21
The ratio of the large cans to small cans shows the distribution of both cans
The new ratio of large cans of soup to small cans of soup in the grocery store is (b) 5 : 3 and (e) 35: 21
How to determine the ratio?The given parameters are:
Ratio = 12 : 7
Rewrite as:
Large : Small= 12 : 7
The number of cans is given as:
Can = 114
So, the distribution of the cans are:
Large = 12/(12 + 7) * 114
Large = 72
Small = 7/(12 + 7) * 114
Small = 42
When 2 large cans are purchased, the remaining number of cans are:
Small = 42
Large = 70
Express as ratio
Large : Small = 70 : 42
Simplify
Large : Small = 35 : 21
Large : Small = 5 : 3
Hence, the new ratio is (b) 5 : 3 and (e) 35: 21
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If P is the incenter of triangle JKL, find PJ
Two of the angles in a triangle measure 17° and 153° What is the measure of the third angle?
Answer:
10
Step-by-step explanation:
153+17=170
180-170=10
1. Jenna and Marcus want to calculate who got the better score on different math quizzes. Jenna got 4 out of
5 questions correct. Marcus got 8 out of 10 questions correct. Who did better? Explain.
Answer:
Jenna got a better score
Step-by-step explanation:
She got a better score because Marcus missed 2 but Jenna only missed one.
What is the solution to this inequality? -m > 5
[A] m < -5
[B] m > -5
[C] m > 5
Answer:
the answer is A
Step-by-step explanation:
trust me yw <33
URGENT PLEASE HELP 50 POINTS AND WILL NAME BRAINLIEST An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the diameter is 2 in. The diameter of each scoop is 3 in. Assume the cone is stuffed full with ice cream. single is $3.50, double is $4.50, and triple is $5.50 Create a table showing the total cost of each size, the total volume of ice cream for each size, and the unit cost (per unit volume) of each size. Include units with your table entries. you dont have to create the table, but i really need the values!
u take x then multiply it by b, the add 9 to x then we will get the answer xb9x, hope u understand;>
What is 10,000 written as a power with a base of 10?
Enter your answer in the boxes.
Answer:
10 to the power of 4
Step-by-step explanation:
Please help me thank you!
PLSSSSSSSSSSSSS HELPPPPPPPPPPPPPPP