Answer:
13 ingredients
Step-by-step explanation:
The number of different recipes that can be made from 2 ingredients = 78
Since there are no two recipes that share the exact same two ingredients ;
The number of recipes in Mark's kitchen is:
nCk = 78
k = Number of ingredients per recipe = 2
n = total number of ingredients in kitchen
Total recipes made = 78
n! / (n-r)!r! = 78
n! / (n - 2)!2! = 78
n(n-1)(n-2)! / (n-2)! * 2 * 1 = 78
n(n - 1) / 2 = 78
n(n-1) = 156
n² - n = 156
n² - n - 156 = 0
Factorize :
n² - 13n + 12n - 156 = 0
n(n - 13) +12(n-13) = 0
(n-13) = 0 ; (n+12) = 0
n = 13 or n = - 12
n cannot be negative
Hence, n = 13
Number of ingredients is 13
Please help and how would I draw it ?
What is the area of a circular region with a 20-ft
diameter?
A)22571 in 2
B)1007 ft2
C) 4007 ft2
D) 2251 ft2
Please help and how would I draw it ?
Answer:
B) 100[tex]\pi[/tex] ft²
Step-by-step explanation:
The area of a circle is pi r-squared. The radius is half the diameter, so it would be:
[tex]\pi[/tex](10)² = 100[tex]\pi[/tex]
A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground. Find the length of the ladder.
Use the Pythagorean theorem:
7^2 + 24^2 = length^2
Simplify:
49 + 576 = length ^2
Add:
625 = length^2
Take the square root of both sides
Length = 25
The ladder is 25 feet long
whats the inverse of y=0.07x
Answer: y=0
Step-by-step explanation: i think this is right
Name the shape of the hanging wire
Answer:
sorry Don didn't know ksjshsndjd
In Mr. Walker's 7th grade class, the 30 students created a pie chart showing their choices for favorite pet. Based on the class findings, how many students chose cat as their favorite pet? Explain.
A) 6
B) 10
C) 3
D) 9
Answer:
D - 9 students
Step-by-step explanation:
For this problem, you need to find the percentage of students left. Subtracting all the percentages you already know, you get 100 - 30 - 20 - 10 - 10, or 30. Since there are 30 students in the class, 30 percent of 30 is 9 students.
Hopefully this helps- let me know if you have any questions!
What is the decimal equivalent for 3/10?
Answer:
3/10 = 0.3
~hope this has helped you out, have a gr8 day my friend! :-) ~
Step-by-step explanation:
Benjamin is 3 inches less than twice as tall as his little brother. Write an expression for Benjamin's height. How tall is Benjamin if his brother is 28 inches tall?
which function g represents the exponential function f(x)=3^x after a horizontal stretch by a factor of 4 and a reflection across the y-axis?
Answer: h(x) = 3^(-x/4)
Step-by-step explanation:
If we have a function f(x), an horizontal stretch of scale factor k is written as:
g(x) = f(x/k)
So, if we have the function f(x) = 3^x
A horizontal stretch of scale factor 4 is:
g(x) = f(x/4) = 3^(x/4)
Now we have a reflection across the y-axis
If we have a function f(x), a reflection across the x-axis is written as:
g(x) = f(-x)
Then if now we apply a reflection across the y-axis to the function g(x), we have:
h(x) = g(-x) = 3^(-x/4)
Then the transformation that we wanted is:
h(x) = 3^(-x/4)
What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.5x)?
13
Submit
Answer:
x=2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable :)
The value of x in the equation is 2.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
2.5(6x - 4) = 10 + 4(1.5 +0.5x)
Now,
To solve for x, we need to simplify the equation and isolate x on one side. Here are the steps:
Distribute 2.5 and 4 on the left and right sides respectively:
15x−10=10+6+2x
Combine like terms on both sides:
15x−10=16+2x
Subtract 2x from both sides:
13x−10=16
Add 10 to both sides:
13x=26
Divide both sides by 13:
x=1326
Simplify the fraction:
x=2
Therefore, by the equation the answer will be 2.
Learn more about equations here;
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Solve by elimination:
-20x-20y=0
-8x-8y=0
Answer:
Step-by-step explanation:
-20x-20y=0 -8x-8y=0
Substitute
-8(-y)-8y=0
simplify
0=0
x=-y
x in 5xy = 10 to solve the system
below.
x = 25 - y
5x + y =10
Answer:
Step-by-step explanation:
there are two ways to solve systems of equations, elimination or substitution, this looks like elimination would work quickly
x= 25 -y
x + y = 25 (eq 1)
5x + y = 10 (eq 2)
subtract 2 from 1
x + y = 25
-(5x + y = 10)
-4x + 0y = 15
-4x = 15
x = - 15/4
now plug in x into either starting equations and solve for y
-15/4 + y = 25
y = 25 + 15/4
y = 100/4 + 15 /4
y = 115 /4
y = 28 3/4
we have solved it :)
Answer:
5x+ y = 10 ---(eq1)
x = 25 - y ---(eq2)
substituting (eq2) in (eq1)
5(25 - y) + y = 10
125 - 5y + y = 10
125 - 4y = 10
-4y = 10 - 125
-4y = -115
4y = 115
y = 115/4 = 28.75
substituting value of y in (eq2)
x = 25 - 28.75
x = -3.75
Gina buys a car for $13,500. The value is expected to depreciate by 15% per year.
Write an exponential function to model the value of the car. When will the value
fall below $3000?
Answer:
the value will fall below $3000 in the 7 th year because :
Step-by-step explanation:
15% of 13500 is 2025
On subtracting 2025 from 13500 every time we can see that the value keeps dropping.
So, we will get $3375 in year 6 and in year 7 we will get $1350 by subtracting 2025 from 3375.
Hence we will get 1350 at the 7th year.
After 6.79 years, the car's value will drop below $3,000.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Now, The following is a representation of the exponential function to model the car's value:
V(t) = 13500 (1 - 0.15)ⁿ
V(t) = 13500(0.85)ⁿ
Here, V(t) denotes the car's worth at time n in years, and 0.85 denotes the annual depreciation rate of 15%.
Hence, The following equation can be put up to determine when the car's value will drop below $3,000:
13500(0.85)ⁿ = 3000
As we solve for n, we obtain:
n = (log(3000/13500)/log(0.85))
n = 6.79
So, after roughly 6.79 years, the car's value will drop below $3,000.
Learn more about the percent visit:
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PlZ HELP ASAP WILL MARK YOU BRAINLYEST!! PLz dont answer if you don't know... THX
Answer:
5. 8.49
6. 8.6
7. B. Joe is taller than the tepee
Step-by-step explanation:
5 - formula for diagonal [tex]d= \sqrt{2} *s[/tex] s= side length
So 1.4 times 6 = 8.49
6 - Pythagorean Theorem [tex]c= \sqrt{ a2+b2}[/tex]
So [tex]c= \sqrt{ 5 *2+7*2 }[/tex] c = 8.6
7 - Formula for height [tex]h= \sqrt{ l^{2} - r^{2}[/tex] l=slant height
So [tex]\sqrt{ 7^{2} - 4^{2}} =h\\\sqrt{ 49-16} = h\\h = 5.74\\5.74 < 6[/tex]That means Joe is taller
Answer:
The answers to your questions are :
5. Area of square = 36 , so (4 × X =36) . X=9
The formula used to find diagonal length = side × Rad2
9 × rad2 = 12.72
6 . Rad ( 25+49) = Rad(74) = 8.6
7. B is correct . He is taller than it .
Rad ( Slant height^2 - radius^2 ) = hight
hight = 5.7 .
solve for x,given the circle
below
with m
Answer:
x=8 is correct answer
Step-by-step explanation:
when you put 8 then as shown in figure it is about 90 degree angle so x=8 is correct
someone help, please this is due today, and its delta math if someone can help me
Answer:
52.48x ≤ 288.64
x≤5.5, x=5
Step-by-step explanation:
First off, we must find out how much money he has available after buying the bike, reflectors and gloves:
Total spent = (price of bike)+3(price of reflectors)+(price of gloves)
=233.09+3(16.38)+29.13
=311.36
600-311.36=288.64, so he has $288.64 left to spend on outfits.
The cost of x amount of outfits is found by multiplying the amount of outfits, x, by the cost per outfit, 52.48: 52.48x. Since he can only spend up to $288.64, 52.48x must be less than or equal 288.64:
52.48x ≤ 288.64
To solve, divide both sides by 52.48:
x≤5.5
(Since he cant buy half of a product, x's maximum value is 5)
I'm stuck on b, I've tried many methods but nothing seems to work (please help this is due in 3 hours)
Answer:
6/5
Step-by-step explanation:
An easy way to do this is see how the scale factor from a to b is 5/6? all you have to do is reverse those numbers! Hope this helps
A produce box can hold no more than 25 pounds of potatoes.
a. Write and graph an inequality to represent this situation.
b. Is 9.8 a solution of the inequality?
Best answer get brainless
giving brainliest *easy*
Answer:
324 °
Step-by-step explanation:
Answer:
324
Step-by-step explanation:
Representing a Diver's Position
A diver swims 5.875 feet up to the surface of the water. Which number represents the diver's position in relation to
the surface before swimming to the top?
-5.9 feet
0 -5 feet
-58 feet
7
feet
Answer:
-5.875
Step-by-step explanation:
Which simplified expression is the difference of (0.5n + 0.3) - (0.75n - 0.45) A: -0.25n + 0.15 B: 0.25n - 0.75 C: -0.25n + 0.75 D: 0.25n - 0.15 show work please
Answer:
(0.5n + 0.3) - (0.75n - 0.45)
0.5n + 0.3 - 0.75n + 0.45
-0.25n + 0.75
So it's C
Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell’s method for collecting his data?
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Rodell needs a larger sample size than two sports teams to represent a whole school.
Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.
Rodell’s polling method only included fall and winter sports; he should have also included a spring sport like baseball.
Using sampling concepts, it is found that the due to bias, the correct option is given by:
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Why is Rodell's sample biased?The school is composed both by athletes and non-athletes, which should have different gaming apps, for example, athletes may be more likely to play sports games while non-athletes may favor RPG for example.
He surveys only athletes, hence, the correct option is:
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Answer:
The correct answer is (A):
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Step-by-step explanation:
I did the quiz and got it right. Hope this helps you!!!!!
8. Draw two circles with centre O and radii 3.6 cm and 4.5 cm, respectively. What are these
circles called?
Answer:
Concentric circles
Step-by-step explanation:
Given
Circle 1
[tex]r = 3.6cm[/tex]
Circle 2
[tex]r = 4.5cm[/tex]
Required
The name of the circles
See attachment for the circles.
From the attachment, the circle with radius 3.6cm is the circle with radius 4.5cm and they both have the same centre.
Such circles are referred to as concentric circles
Write 24:14:6 in its simplest form.
Answer:
12 : 7 : 3
Step-by-step explanation:
24 : 14 : 6
12 : 7 : 3
Always start with smaller number to simplify it. Since 2 is the smaller number and it simplifies 24, 14, and 6 I start with it.
24 ÷ 2 = 12
14 ÷ 2 = 7
6 ÷ 2 = 3
We would stop here since it would not further simplify, therefore our answer is 12 : 7 : 3.
Hope this helps, thank you :) !!
Question 17 of 48
int
Section: Math
Question:
If a plane can climb at 2.400 feet per minute, how many minutes are needed to climb to 60,000 feet?
Answer:
25
Step-by-step explanation:
I divided it and got the answer :)
Answer:
25 min.
Step-by-step explanation:
To find the answer, we just divide 60,000 by 2,400 and we get 25.
Please help a brotha out so I can get ungrounded! Will give Brainlyest!
Given:
HML = 180°
KMG = 180° (since both are lines)
∠KML = 83°
To find:
Measurement of ∠KMH
Steps:
Since we know HML is a line and equals to 180°, then
∠LMK + ∠KMH = ∠HML
83° + ∠KMH = 180°
∠KMH = 180° - 83°
∠KMH = 97°
Therefore the measurement of ∠KMH is 97°
Happy to help :)
If you need any help in any other question, feel free to ask
Also x = 20.75 (if you need steps pls ask)
One-step word problems:
1) Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
Answer:
she needs to put in 5 more cups of sugar.
Step-by-step explanation:
in the word problem it states that shee needs 7 cups of sugar and since she already put in 2 cups, you have to subtract 2 from 7 since she already put 2 cups in, and then you get your answer which is 5 more cups.
They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm
A. Calculate the volume of the rectangle ABCD
B. Calculate the circumference of the BCD triangle
C. Calculate the circumference of the BEC triangle
D. Calculate the circumference of the DEC triangle
Answer:
big pp is answer ok big pp is good hehe
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=6°, and GE = 71 feet. Find the length of EF to the nearest tenth of a foot.
Answer:
71.4
Step-by-step explanation:
cos 6 = 71 / x = 71.4
1.) The sum of x and 10.
Answer:
10 + x
Step-by-step explanation:
Answer. x+10
Step-by-step explanation:
A 29 foot rope is cut into two parts. the longer part is 2 feet longer than twice the shorter part. How long is each part
Answer:
longer:20 shorter:9
Step-by-step explanation: