The number of ways a pizza with three different toppings out of 7 can be made is ⁷C₃(35).
What is Combination?The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
^nC_r = \dfrac{n!}{(n-r)!r!}\ , \ \ ^nP_r = \dfrac{n!}{(n-r)!}
where,
n is the number of choices available,
r is the choices to be made.
The number of ways a pizza with three different toppings out of 7 can be made is ⁷C₃(35).
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What is the value of x?
Answer:
a) 20
Step-by-step explanation:
90 - 46 = 44
44 - 4 = 40
40/2 = 20
Find the slope of the line passing through the pairs of points. (-11. - 11) and (10,- 1)
Answer:
the slope is [tex]\frac{10}{21}[/tex]
Step-by-step explanation:
slope formula for linear equations:
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] so for the two points [tex]\frac{-1 - (-11)}{10 - (-11)}[/tex] [tex]= \frac{10}{21}[/tex]
PLS HELP ASAP WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
None of the others are vertical angles
a is supplementary angles
b is supplementary angles
d is alternate interior angles
Solve the inequality and graph the solution
x +1 2/5 _< 6 8/10
Answer: x < 5 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{8}{10}[/tex]
x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{4}{5}[/tex]
x < 5 [tex]\frac{2}{5}[/tex]
graph is attached
If Jessica has money into savings accounts worry is 5% in the other is 10% if she has $950 more in the 10% account and the total interest is 281 how much invested is in each savings account
Answer:
5% account = $1,240
10% account = $2,190
Step-by-step explanation:
Let's assume the amount of savings in the 5% account is x.
Thus the amount of savings in the 10% account is (x + $950).
We can write the following equation from the interest amount:
[5% x ] + [10% (x + $950)] = $281
5%x + 10%x + $95 = S281
15%x = $186
x = $1,240
There is $1,240 in the 5% account
Therefore, on the 10% account there is $1,240 + $950 = $2,190
need help on my aleks chapter 5 lesson 3
Answer:
65º
Step-by-step explanation:
Angles in a triangle add to 180º so:
180- 44 - 71 = 180 - 115 = 65º
Find the surface area of a cylinder with a base radius of 5 cm and a height of 8 cm.
Use the value 3.14 for , and do not do any rounding.
Be sure to include the correct unit.
Answer:
408.40704
Step-by-step explanation:
last question before I go. [tex]x^{2} -y[/tex] when [tex]x = 4, y = 2[/tex].
Hey there!
x^2 – y
= 4^2 – 2
= 4 * 4 - 2
= 16 - 2
= 14
Therefore, the answer should be: 14
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Part B
Morgan said that the difference between the heaviest loaf of bread and the lightest loaf of bread is 1 1/2 ounces. Do you agree with Morgan? Explain
also this is worth 35 points pls help!!
Answer:
Morgan is incorrect because 24 1/2- 22 3/4=1 3/4
Step-by-step explanation:
24 ¹/²- 22 ³/⁴=1 ³/⁴
Solve for -5v+6 = -12v+62 Simplify your answer as much as possible.
Hey there!
Answer :[tex] \displaystyle \blue{\boxed{\green{\bold{v = 8}}}} [/tex]
[tex] \\ [/tex]
Explanation:-5v + 6 = -12v + 62
[tex] \\ [/tex]
▪️Subtract 6 from both sides :
-5v + 6 - 6 = -12v + 62 - 6
-5v = -12v + 56
▪️Add 12v to each side :
-5v + 12v = -12v + 56 + 12v
7v = 56
▪️ Divide both sides by 7 :
7v / 7 = 56 / 7
v = 8
[tex] \\ [/tex]
Therefore, our answer is v = 8.
[tex] \\ [/tex]
▪️ Learn more about solving equations:
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Answer:
v = 8
Step-by-step explanation:
Hello!
We can solve the equation by moving all terms of V to one side, and all integer values to the other.
Solve-5v + 6 = -12v + 62-5v + 6 + 12v = -12v + 62 + 12v7v + 6 = 627v + 6 - 6 = 62 - 67v = 56v = 56/7v = 8The value of v is 8.
We can plug back 8 into the original to check our answer:
-5(8) + 6 = -12(8) + 62-40 + 6 = -96 + 62-34 = -34Since both sides match, the solution of v = 8 is correct.
How many integers from 1 to 100 have a factor of 3?
Answer: 33 integers
Step-by-step explanation:
The numbers with a factor of 3 must be a multiple of 3. Therefore, since 99 is the greatest multiple of 3 that is less than 100, we can divide 99 by 3 to get 33 integers (for every 3 consecutive integers, there is one multiple of 3). We can also divide 100 by 3 to get 33 1/3, which rounds to 33 integers.
I hope this helps!
Full‐me Ph.D. students receive an average of $12,837 per year. If the
average salaries are normally distributed with a standard deviation of $1500, find these
probabilities.
a. A student makes more than $15,000.
b. A group of 36 students makes between $13,000 and $14,000.
Answer:
.0022
Step-by-step explanation:
A fabric store is having a sale. The price of every item in the store has been reduced by 30%. Which equation shows the
proportional relationship between the regular price, r, of an item and its sale price, s?
Equation to show the proportional relationship between the regular price, r, of an item and its sale price, s is 10s -7r=0.
What is sale price?A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time, typically to spur sales during a slow period or to sell off excess inventory.
Let the regular price be r and sale price be 's'
Since price of every item reduced by 30%.
So, sale price will be
[tex]s= r- 30% of r[/tex]% of r
[tex]s= r- \frac{30}{100} *r[/tex]
s= r - 0.3 r
s= 0.7 r
s-0.7r=0
or, 10s -7r=0
Thus, equation shows the proportional relationship between the regular price, r, of an item and its sale price, s :10s -7r=0
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If triangles CBA and RQP are similar, what can you say about the ratios of their corresponding
sides? Write the proportions.?
Answer:
here you go..............
Pls tell how did she get
1.15m il will marke brainliat
Answer:
Step-by-step explanation:
1.15 represents a 15% increase so if you want a 15 % increase from last year, you would multiply 1.15 by m to get 1.15m
:)
A snail crawls 83 cm due west and then
78 cm due north.
Work out the bearing of the snail from its
starting point.
Give your answer to the nearest degree.
Answer:
313°
Step-by-step explanation:
The reference angle (α) can be found using the tangent relation:
Tan = Opposite/Adjacent
__
In this problem, that means ...
tan(α) = 78/83
α = arctan(78/83) ≈ 43° . . . . . . angle from -x axis
The bearing angle will be this value added to 270°, since bearing angles are measured clockwise from north.
bearing = 270° +43° = 313°
please help me!! I’m bad at math!!
Answer:
50.24
-
And, you're not bad at math! You goot this correct! :)
Step-by-step explanation:
c=25.12
we can use this to find the raidus!
-
plug it back into the circumference formula first.
c=(pi)(d)
25.12=3.14*d
divide both sides by 3.14!
d=8 but we need the radius, so we just divide by 2. 8/2 = 4. so the raidus is 4!
-
now we plug it into the area of a circle formula.
π · r2
3.14 * 4^2
3.14*16
50.24
A carton of half & half costs $.98 for 4 cups. What is the cost per cup?
Answer:
$00.245
Step-by-step explanation:
.98/4=00.245
please mark brainliest
Determine the equation of the circle graphed below.
10
8
6
4
2
-10 -B -6
8
-4
-2
-2
4
-6
-8
-10
2
4
10
Answer: (x +7)^2 +(y +6)^2 = 9
Step-by-step explanation:
The given circle appears to be centered at (-7, -6) and have a radius of 3. The standard form equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle of radius r centered at (h, k)
For (h, k) = (-7, -6) and r=3, your circle is ...
(x -(-7))^2 +(y -(-6))^3 = 3^2
(x +7)^2 +(y +6)^2 = 9
i hope this helps btw i did not copy n paste l got 100% on this
The sun came out and the temperature quickly rose 18 degrees. The a thunderstorm hits and the temperature drops 6 degrees. The sun comes back out the temperature raises 12 degrees. The temperature is now 94 degrees. What was the starting temperature?
Answer:
70
Step-by-step explanation:
Just do it backwards.
94 - 12 = 82.
82 + 6 = 88.
88 - 18 = 70.
In which data set does the range have the greatest spread?
A. 10, 11, 11, 14, 14
B. 10, 13, 13, 14, 15
C. 9, 11, 11, 13, 14, 15, 16
D. 8, 11, 13, 13, 17, 20, 23
Answer:
D (8, 11, 13, 13,17,20,23)
Step-by-step explanation:
I did this and got it correct.
Out of 270 students in 6th grade, only 60% are going on the field trip. How many students are NOT going on the field trip
Step-by-step explanation: answer: 108
270
[tex]270 \times \frac{60}{100} [/tex]
[tex]27 \times 6 = 162[/tex]
270=60%
60% =162
40% = not going
270 students - 60% 162= 108
→108 students are not going
Answer:
270 students - 60% 162= 108
Step-by-step explanation:
what is 4,649 divided by 39
Answer:
[tex]4649 \div 39 = 119.205128295[/tex]
Step-by-step explanation:
I hope it's help u
Answer:
119 R 8
Step-by-step explanation:
convert 4649 to tens place, write 1
46 - 39 = 7
drop the 4 in the tens place, write 1
74 - 39 = 35
drop the 9 in the ones place, write 9
359 - 351 = 8
• For each time we got 39 or another number, we wrote the multiple of that number we used to get the result.
• We got the remainder by the general subtraction.
help me plssssssssssssssssssssss
3x + 2 = 14
Which number makes the equation true?
1
2
2
4
6
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]3x+2=14\\\\3x+2-2=14-2\\\\3x=12\\\\\displaystyle \frac{3x}{3}=\frac{12}{3}\\ \\ x=4[/tex]
On a map, Luis's house is located at (-7, 6)
and Melvin's house is at (4,-5). What are the
coordinates for Raquel's home if she lives exactly
halfway between Luis and Melvin?
Step-by-step explanation:
There is no diagram how can we answer
Solve the following inequality for x.
-5x < -15x + 40
A.
x > -2.00
B.
x > 4
C.
x < 4
D.
x < -2.00
[tex]~~~~~~-5x < -15x +40\\\\\implies -5x +15x < 40\\\\\implies 10x < 40\\\\\implies x < \dfrac{40}{10}\\\\\implies x < 4\\\\\text{So, the answer is C.}[/tex]
Answer:
The answer will be C X < 4 okay thanks
A teacher bought 8 books at (p - 1500) each book and 2 pens at (p + 1000) each pen. If the teacher spent 53,000 altogether, how much money did he spend on the books?
Answer:
38400/=
Step-by-step explanation:
8(p-1500)=8p-12000
2(p+1000)= 2p+2000
8p-12000+2p+2000=53000
10p-10000=53000
10p=53000+10000
10p=63000
p=6300/=
8 books=8(6300-1500)
=38400/=
Robert delivers papers every morning. On Sundays he has to deliver 65 papers and on each of the other days he only has to
deliver 38 papers. How many papers does Robert deliver each week?
A. 455
B. 331
C. 255
D. 293
Answer:
D. 293
Step-by-step explanation:
He delivers 38 papers each day of the week except sunday, so six days a week
38 x 6 = 228
228 + the 65 he delivers on sunday = 293 papers a week
What expression represents the volume of the cylinder, in cubic units?
Answer:
2πx3
Step-by-step explanation: