Part A:
We need to divide
5 ÷ 2/3
5/1 ÷ 2/3
5/1 * 3/2
15/2 or 7 1/2 plates of nachos.
Part B:
If Rachel can make 7 1/2 plates of nachos with 5 cups of cheese we need to multiply and subtract.
ma2/3 * 9 = 18/3 or 6 cups of cheese to make 9 plates
6 - 5 = 1 more cup of cheese she needs to make 9 plates
Best of Luck!
Use the tables below to find (p − q)(2). A 2-column table has 3 rows. The first column is labeled x with entries 4, 2, negative 3. The second column is labeled p (x) with entries negative 1, 3, 2. A 2-column table has 3 rows. The first column is labeled x with entries 4, 2, negative 3. The second column is labeled q (x) with entries 1, negative 2, 5. (p – q)(2) =
Composite functions are multiple functions combined to form another function.
The value of the composite function (p - q)(2) is 5
To find (p - q)(2), we make use of the following composite function formula:
[tex](p - q)(x) = p(x) - q(x)[/tex]
Substitute 2 for x in the above formula
[tex](p - q)(2) = p(2) - q(2)[/tex]
From the table entries, we have:
[tex]p(2) =3[/tex]
[tex]q(2) = -2[/tex]
So, the equation becomes
[tex](p - q)(2) = 3 -- 2[/tex]
Rewrite the above equation as:
[tex](p - q)(2) = 3 + 2[/tex]
Take the sum of 3 and 2
[tex](p - q)(2) = 5[/tex]
Hence, the value of (p - q)(2) is 5
Read more about composite functions at:
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Which equation represents a circle with a center at (–3, –5) and a radius of 6 units? (x – 3)2 + (y – 5)2 = 6 (x – 3)2 + (y – 5)2 = 36 (x + 3)2 + (y + 5)2 = 6 (x + 3)2 + (y + 5)2 = 36
Answer:
D. is the answer
The equation that represents a circle with a center at (–3, –5) and a radius of 6 units is given by:
[tex](x + 3)^2 + (y + 5)^2 = 36[/tex]
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, we have that:
The center has [tex]x_0 = -3, y_0 = -5[/tex].The radius is r = 6.Hence:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x + 3)^2 + (y + 5)^2 = 36[/tex]
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A teacher wanted to know how well the gifted students in here class perform relative to her other classes. She administers a standardized test with a mean of 50 and a standard deviation of 10. A student scores of 55, what percent of students have a higher score than hers
Answer: 30.85%.
Step-by-step explanation:
Let X denotes the score of random student.
Given: [tex]\mu = 50[/tex] and [tex]\sigma=10[/tex]
We assume that scores are normally distributed.
Then , the probability that a a student score higher than 55:
[tex]P(X>55)=P(\dfrac{X-\mu}{\sigma}>\dfrac{55-50}{10})\\\\=P(Z>0.5) \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<0.5)\\\\=1-0.6915\ [\text{By p-value table for z}]\\\\= 0.3085[/tex]
Hence, the percent of students have a higher score than hers is 30.85%.
How is inductive reasoning used to recognize mathematical relationships?
Answer:
A general way of explaining this is
Suppose that we have a given property (or a pattern if we are working with a series of numbers):
Now, if that property is true, for example, for the numbers 1, 2, 3... etc. Then we can suppose that the property is also true for an unknown number N.
Now, if using the hypothesis that the property is true for N, we can prove that the property is also true for N + 1, then we actually proved that the property is true for all the set.
We actually can use any set, not only the natural numbers.
For example, we can use the set of the even numbers {2, 4, 6, 8....}, suppose that the property is true for a random number N, that is even, and then see if using that hypothesis we can prove that the property is also true for the next number in the set; N + 2.
The length of a rectangle is 2 inches less than twice it’s width. If the perimeter of the rectangle is 74 inches, what is the area of the rectangle?
Answer:
341.25in²
Step-by-step explanation:
Width=x
Length=x+2
X+x+x+2+x+2=74
4x+4=74
4x=70
x=17.5
width=x=17.5
length=x+2=19.5
A=LW
A=17.5*19.5
A=341.25in²
please help me with this question
Answer:
422 cm²
Step-by-step explanation:
Surface area of the composite figure = (surface area of the upper cuboid + surface area of lower cuboid) - 2(base area of the lower cuboid)
Surface area of composite figure = [tex] (2(lw + lh + hw)) + (2(lw + lh + hw)) - 2(l*w) [/tex]
Upper cuboid has the following dimensions:
[tex] l = 4, w = 3, h = 8 [/tex]
Lower cuboid has the following dimensions:
[tex] l = 10, w = 7, h = 5 [/tex]
Plug these values into the formula
Surface area of composite figure
[tex] = (2(4*3 + 4*8 + 8*3)) + (2(10*7 + 10*5 + 5*7)) - 2(4*3) [/tex]
[tex] = (2(12 + 32 + 24)) + (2(70 + 50 + 35)) - 2(12) [/tex]
[tex] = (136 + 310) - 24 [/tex]
[tex] = 446 - 24 = 422 [/tex]
Surface area of composite figure = 422 cm²
Given, f(x) = 2x + 7
Find f(3)
f(3) = 13
Step-by-step explanation:f(x) = 2x + 7
replace x with 3
f(3) = 2×3 + 7
= 6 + 7
= 13
One of the factors of 12 is chosen what’s the probability the chosen factor is 4?
Answer:
1/6
Step-by-step explanation:
There are six factors of 12: 1, 2, 3, 4, 6, and 12.
So the probability that the chosen factor is 4 is 1/6.
can someone just answer these lol idk what to say .
Answer:
1.) -11x 2.)-2x
NEED HELP ASAP ALGEBRA 2
Answer:
15
Step-by-step explanation:
Use the pythagorean theorem.
A² + B² = C²
In this case, A = 8, B is unknown, and C = 17. B is the side that we want to calculate.
8² + B² = 17²
64 + B² = 289
B² = 225
B = √225 = 15
Help fast plz are they similar or not
if the bacteria population is doubling every hour, can you estimate the bacteria population at the time of 10 hours?
Answer:
Bacterial population at the time of 10 hours = 1040000
Step-by-step explanation:
Let the function that defines the bacterial population after 'x' hours is,
p(x) = a(b)ˣ
Where a = Initial population
And 'x' = Duration or time
Since bacterial population is getting doubled every hour,
2a = a(b)¹
b = 2
Therefore, function will be,
p(x) = a(2)ˣ
From the graph attached,
Point (5, 32500) lies on the graph of the function.
32500 = a(2)⁵
a = [tex]\frac{32500}{32}=1015.625[/tex]
Therefore, the function will be,
p(x) = 1015.625(2)ˣ
For x = 10 hours,
p(10) = 1015.625(2)¹⁰
= 1040000 bacteria
The base of a parallelogram is (2x + 3) units and the corresponding height is (3x – 2) units. Find the area of the parallelogram in terms of x. What will be the area of parallelogram if x = 30 units?please explain how you got the answer
Answer:
S = 6x² + 5x - 6
5544 sq. units
Step-by-step explanation:
Area of parallelogram is:
S = bhGiven:
b = 2x+3h = 3x -2Then:
S = (2x + 3)(3x - 2) = 6x² - 4x + 9x - 6 = 6x² + 5x - 6S = 6x² + 5x - 6
If x = 30, then plug it in the equation:
S = 6*30² + 5*30 - 6 = 5544 sq. unitsThe committee is planning a party and 150 guests are expected. Each table seats 12 people. How many tables will be needed to seat all 150 guests?
Answer:
You will need about 13 tables.
Step-by-step explanation:
I divided the number of guests by 12 and got 12.5 however you can't have half of a table so I rounded up and got 13.
Question (8 points)
Kirsten went to Champs and brought a pair of KD's for $99.99 and a shirt to match for $17.99. If Kirsten gave the
cashier $120, how much change will she get back
Find the property for
9 • (-1 • x) = 9 • (-x)
-6x^3 -7x^2 +qx - 12 is divisible by 3x-4. There is no remainder. Find the value of q.
If [tex]3x-4[/tex] is a factor of [tex]p(x)=-6x^3-7x^2+qx-12[/tex], then [tex]x=\frac43[/tex] is a root of [tex]p(x)[/tex] so that [tex]p\left(\frac43\right)=0[/tex]:
[tex]-6\left(\dfrac43\right)^3-7\left(\dfrac43\right)^2+q\left(\dfrac43\right)-12=0[/tex]
[tex]\dfrac{4q-116}3=0[/tex]
[tex]4q-116=0[/tex]
[tex]4(q-29)=0[/tex]
[tex]\implies\boxed{q=29}[/tex]
In the library, there are 12x English books, 5x Chinese books and 4x Malay
books. If there are 15 fewer Indian books than Malay books, find the to
number of books in the library in terms of x.
Answer:
25x - 15
Step-by-step explanation:
Indian books = malay books - 15
=4x -15
Total books =
English books + chinese books + malay + indian
= 12x + 5x + 4x + 4x -15
= 25x - 15
Answer:
Step-by-step explanation:
Indian books = 4x - 15
Total books = 12x + 5x + 4x + 4x - 15 {add like terms}
= 25x - 15
does anyone know how to find square root quickly?
Answer: The quick way is to square the half of it.
Step-by-step explanation: You divide your main number by 2 and figure out that half. If it is still too big, divide by 2 again. If you need to keep repeating that is fine. Thank you multiply your answer by however many times you divided by 2.
Answer:
Step-by-step explanation: Make a perfect square list
This is one that goes to 15
[tex]\sqrt{1} \sqrt{4} \sqrt{9} \sqrt{16} \sqrt{25} \sqrt{36} \sqrt{49} \sqrt{64} \sqrt{81} \sqrt{100} \sqrt{121} \sqrt{144} \sqrt{169} \sqrt{196} \sqrt{225}[/tex]
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
The numbers on top are the square root and the numbers under are the answer or squared numbers. There is also a way to solve them if the number is between a number in the list like 18 but i don't feel like explaining that this is just the basic squares.
match each account of events with the type of chronology it illustrates. helppp !!
how to do this question plz answer me step by step plzz plz plz
Answer:
no
Step-by-step explanation:
The circumference of a table is ...
C = πd = π(180 cm) ≈ 565.5 cm
At 70 cm/guest, a table will accommodate ...
565.5 cm/(70 cm/guest) = 8.08 guests
At 8 guests per table, the available 18 tables will accommodate ...
(18 tables)(8 guests/table) = 144 guests
There is not enough space at 18 tables for 145 guests.
Answer:
No, it's not.
Step-by-step explanation:
First, find the circumference of the table:
C = 2πr
= 2 × 22/7 × 180/2
NOTE: Diameter/2 is equal to the radius because half of Diameter is a radius.
= 44/7 × 90
= 3,969/7
= 565.71 approximately 566cm²
Next, find how many guests can occupy a table:
566/70 = 8.08 approximately 8 guests.
Now, how many guests will be in 18 tables?
18 × 8 = 144 guests, but we need 145 guests, so it is not enough.
AC = 5x - 8 and CD = 16 - 3x
x=
AD=
Answer:
Step-by-step explanation:
5x - 8 = 16 -3x
8x - 8 = 16
8x = 24
x = 3
AC= 5(3) - 8 = 15 - 8 = 7
CD= 16 - 3(3) = 16 -9 = 7
7 + 7 = 14 = AD
The value of x and AD such that C is the midpoint of AD is 3 and 14 respectively.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given the line segment AD with mid-point C
So,
AC = CD
5x - 8 = 16 - 3x
8x = 16 + 8
x = 3
So,
AD = 5x - 8 + 16- 3x
AD = 2x + 8
AD = 2(3) + 8 = 14
Hence "The value of x and AD such that C is the midpoint of AD is 3 and 14 respectively".
For more about line segment,
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x is an irrational number between 7 and 10. find a value for x
Answer:
[tex]\boxed{ x = \sqrt{8.5} }[/tex]
Step-by-step explanation:
Hey there!
Irrational numbers are numbers that cannot be expressed as fractions.
[tex]\sqrt{8.5}[/tex]
=2.915475947422650235437076438772791538260699167442985977225003372433905030998356313832620163226517699278394811037677455675906936808085403142951613039412223590832527179885119634084324188271634828210865
The shown decimal goes on for 200 digits.
And it cannot be put into fraction form, meaning it is irrational.
Hope this help :)
Literally, irrational numbers are numbers that cannot be expressed as simple fractions. Some irrational numbers between 7 and 10 are 7.4833,7.9372,8.3666,8.4852,9.4868.
Given that
[tex]Min = 7[/tex]
[tex]Max = 10[/tex]
There are several ways to generate the irrational numbers between the given range.
One of the ways is as follows:
First, we list the pairs of relatively prime integers between the given range.
They are:
[tex]x = \{(7,8),(7,9),(7,10),(8,9),(9,10)\}[/tex]
Calculate the product
[tex]x = \{56,63,70,72,90\}[/tex]
Take the positive square root of the numbers to generate some irrational integers
[tex]x = \{\sqrt{56},\sqrt{63},\sqrt{70},\sqrt{72},\sqrt{90}\}[/tex]
[tex]x = \{7.4833...,7.9372....,8.3666...,8.4852....,9.4868....\}[/tex]
Read more about irrational numbers at:
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Which table can be created using the equation below? –2 + 4x = y
Answer:
A
Step-by-step explanation:
x y
-5 -22
0 -2
3 10
If you were to describe a reflection of triangle ABC, what information would you need to include in your description?
Answer:
you would add your points and where it is located
Step-by-step explanation:
Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .?
Answer:
D. f(1) = 4, f(n) = –1/2f(n – 1) for n > 1
Step-by-step explanation:
We assume your sequence is supposed to be ...
4, -2, 1, -1/2, 1/4, ...
This has no common difference, but it has a common ratio of -1/2. That is, the first term is 4, and each successive term is -1/2 times the previous one. The function is described by the recursive formula ...
f(1) = 4;
f(n) = -1/2·f(n-1)
A particle travels 16.5 km in 30 minutes. What will be the speed of the particle in km / h ?
s=d/t
Step-by-step explanation:
s=16.5/0.5
s=33
33 km/h since 30 min is half an hour
Answer:
[tex] \boxed{ \huge{ \boxed{ \sf{ \bold{33 \: km/h}}}}}[/tex]Step-by-step explanation:
Distance ( d ) = 16.5 km
Time ( t ) = 30 minutes
( To convert minutes to hour , divide the minutes by 60)
Time ( t ) = [tex] \sf{ \frac{30}{60} }[/tex] = [tex] \sf{0.5}[/tex] hours
Now, let's find the speed
Speed = [tex] \sf{ \frac{distance \: travelled \: ( \: in \: km)}{time \: taken \: ( \: in \: hrs)} }[/tex]
plug the values
⇒[tex] \sf{ \frac{16.5}{0.5} }[/tex]
Calculate
⇒[tex] \sf{33 \: km/h}[/tex]
Hope I helped !
Best regards!!
700,000,000+10,000,000+1,000,000+100,000+40,000+2,000+200+7 write the standard form above
Answer:
712,402,207
Step-by-step explanation:
;)
Answer: 711,142,207
Step-by-step explanation:
Tamara earns $15 an hour at her job working 25 hourse per week. If 21% of her paycheck goeas to taxes, what is Tamara's monthly cash inflow? (Assume this is her only source of income and that there are 4 pays per month.)
Convert 7s seconds to hours Idk which numbers go where for how my teacher does it he cross multiplies and divides and idk which numbers go where please help
Answer:
0.0208333...
Step-by-step explanation:
You would just divide 7 seconds by 3600 seconds (1 hr) and that would be ur answer so in this case it would be 0.0208333...
Answer:
1/48 or 0.02083 hours
Step-by-step explanation:
75s×1 min/60s×1 hour/60 mins so the seconds and minutes cancel out and you are left with 75/3600=1/48 hours