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 number (X) comes next in the series (17, 9, 18, 7, 19, 5, 20, X)
Answer:
x = 3
Step-by-step explanation:
The pattern is that every other number increases by 1, while the next decreases by 2
1. 17,18,19,20
2. 9,7,5,x
5-2 =3
3 is the answer.
Solutions:
Odd Terms: 17, 18, 19, 20
Find the common difference.
d = a₂ - a₁
d = 18 - 17
d = 1
Thus, for every odd term, the next terms are derived by adding 1.
Even Terms: 9, 7, 5, x
Find the common difference.
d = a₂ - a₁
d= 7 - 9
d = -2
Find x.
x = 5 + d
x = 5 + (-2)
x = 5 - 2
x = 3
Therefore, x = 3.
What is a sequence?In an arithmetic sequence, a term is obtained by adding a constant number to the preceding term. A sequence whose succeeding terms are obtained by adding a constant. Constant is called the common difference. Formula is a_n = a₁ + d(n - 1). The common difference is obtained by subtracting the first term from the second term.
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In the diagram above, <1=40. Find the measure of <4
<4 = [???]
Answer:
40 degrees.
Step-by-step explanation:
< 4 = < 1 = 40 degrees
( as they are vertical ( opposite) angles)
( US = vertical, UK = opposite)
Answer:
m∠4 = 40°
Step-by-step explanation:
we notice that ∠1 and ∠4 are two Vertically opposite angles which means they are equal to each other then m∠4 = m∠1 = 40°
An object has the mass of 900 g and a volume of 1,875 cm3.
Calculate its density.
g/cm3
Maths
If the mass of the object is 900 g and the volume is 1,875 cm³. Then the density of the object is 0.48 g/cm³.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
Density = mass / volume
An object has a mass of 900 g and a volume of 1,875 cm³.
Then the density will be
Density = 900/1875
Density = 0.48 g/cm³
Then the density of the object is 0.48 g/cm³.
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A dragon has been wreaking havoc n a local village. It is then chased away by a knight. The dragon flies 3miles due south followed by 4miles due west work out the distance between the dragon and the village find the bearing of the dragon from the village to the nearest degree
Answer:
a) 5m b) 53°
Step-by-step explanation:
a) √Bc²+AB²
=√4²+3²
=√16+9
=√25 =5m
b) tan θ =BC/AB
tanθ =4/3
so tan θ=53°
to win at lotto in one state one must correctly select 7 numbers from a collection of 57 numbers. how many different selections are possible
what is the solution to this inequality x over 10 +6 >8 x<74 x>74
The solution of the given inequality is x/10 + 6 ≥ 8 will be x ≥ 20.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given inequality is:-
x / 10 + 6 ≥ 8
Put the value of x = 20
20 /10 + 6 ≥ 8
2 + 6 ≥ 8
8 ≥ 8
So the value of x will be greater than 20 or equal to 20.
Therefore the solution of the given inequality is x/10 + 6 ≥ 8 will be x ≥ 20.
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In triangle HJK shown above what is the measure of ∠J in degrees
Angles in a triangle adds up to 180
180 - (25.5 +120.2) = 34.3
So, missing angle is 34.3 degrees
Hope this helps!
The radius of a circle is 16 cm. Find its area in terms of π
Answer:
A = 804.25 cm^2
Step-by-step explanation:
Ms. Jones baked 12 cookies on Monday. On Tuesday, she baked 15 cookies, on Wednesday, she baked 18 cookies. If Ms. Jones continues baking cookies this way, how many will she bake on Friday?
Answer:
19 or 20
Step-by-step explanation:
well is see
Monday = 12
Tuesday = 12 + 3 = 15
Wednesday = 15 +3 = 18
so the pattern is 3
but now since there is only 14, 13, 19, and 20
we could say she only added 1 or 1 each time
because it said she wanted cookies to stay about 18
1 x 2 = 2
18 + 2 = 20
or
1 + 18
19
sorry if it's wrong
Identify the zeros of the graphed function.
Question 8 options:
A)
x = –4, –2, 1
B)
x = –1, 0, 2, 4
C)
x = –4, –2, 0, 1
D)
x = –1, 2, 4
Answer:
A I think this is it
Step-by-step explanation:
Hope this helps :) :)
If five quarts of paint are needed for 250 square-feet of room, 13 quarts of paint will cover how many square feet of room?
Do not put units or commas, only put the number value to the nearest whole number.
Answer:
650
Step-by-step explanation:
let the unknown feet of room = X
5 paints = 250 square feet of room
13 paints = X
cross multiply
5*X = 250*13
X =3250÷5
X = 650 square feet of room
6.RP.A.3.C
A dress costs $63. If the store is
having a 20% off sale, how much does
the dress cost now?
Answer:
$50.40
Step-by-step explanation:
20% of 63 is 12.5 so subtract that from the price of 63 for the answer of 50.4
Solve Angle B please
Answer:
x = 9
Angle B = 40°
Step-by-step explanation:
Angle A = Angle B
[tex]5x-5=3x+13[/tex]
[tex]5x-3x=13+5[/tex]
[tex]2x=18[/tex]
[tex]x=18/2=9[/tex]
Angle B = 3x + 13 = 3(9) + 13 = 27 +13 = 40°
Hope this helps
plot points for the function f(x)=x^+2x
The equation f(x)=x² + 2x is a quadratic equation, and it passes through the points (0,0) and (1,3)
How to plot the points for the equation?The equation is given as:
f(x)=x² + 2x
Set x = 0
f(0)= 0² + 2(0) = 0
Set x = 1
f(1)= 1² + 2(1) = 3
The above means that the equation f(x)=x² + 2x passes through the points (0,0) and (1,3)
See attachment for the graph of f(x)=x² + 2x
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Evaluate 2x-5x+ 12
when x = -2
Answer:
2(-2)-5(-2)+12
-4-(-10)+12
6+12
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
2(-2)-5(-2)+12
-4+10+12
=18
Hope this helps! ;-)
One number is twice another number.
The larger number is 6 less than three
times the smaller number. Find the
two numbers.
The pool where Asha swims is rectangular.
It is 2500 cm long and 1250 cm wide.
The four sides of the swimming pool are 150 cm deep.
They are covered with small square tiles of different colours.
The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The pool where Asha swims is rectangular. It is 2500 cm long, 1250 cm wide and 150 cm deep.
Hence:
Volume of the pool = 2500 * 1250 * 150 = 4.6875 * 10⁸ cm³
The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.
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Look at the image below.
Find the area of the parallelogram.
Answer:
Below.
Step-by-step explanation:
Area = base * perpendicular height
= 3 * 5
= 15 square units.
The area of the parallelogram is 15 square units.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal
Area of a two dimensional shape is the total region which is bounded by the object's shape.
If the base and height is known,
Area of a parallelogram = base × height
Given base = 3
Height = 5
Area = 3 × 5 = 15 square units
Hence the required area of the parallelogram is 15 square units.
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A farmer planted five rows of banana trees. Each row had six trees. His goat ate eight of the flowers. How many trees were left?
Answer:
Step-by-step explanation:
if his goat ate 8 flowers why is it asking how many trees?
Find the area of EFGH
The area of triangle FGH that is similar to triangle ABC is: 8 square feet.
What is the Area of Similar Figures?If two shapes are similar, the ratio of their areas equals the ratio of the square of their corresponding sides.
Therefore:
area of triangle EFG / area of triangle ABC = FG²/BC²
Plug in the values
area of triangle EFG / 18 = 2²/3²
area of triangle EFG / 18 = 4/9
area of triangle EFG = (18×4)/9
area of triangle EFG = 8 sq. ft.
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a pentagon with sides 3 4 5 6 and 7 has area 48m. find the perimeter of a similar pentagon whose area is 27m
i give brainliest to first answer
Answer & step-by-step explanation:
Please see image attached below:
find the equation (in terms of x) of the line through the point (-3,-3) and (2,-2)
Answer:
y = (1/5)x - 12/5
Step-by-step explanation:
First, you need to find the slope (m). This can be done by using the given points and the following equation.
y₁ - y₂ = m(x₁ - x₂)
-3 - (-2) = m(-3 - 2)
-1 = -5m
1/5 = m
Next, you need to find the y-intercept (b). You can do this by using the slope and the values of a point in the following equation.
y = mx + b
-2 = (1/5)(2) + b
-2 = 2/5 + b
-2.4 = b
-12/5 = b
Putting the information together, you are left with your final equation.
y = (1/5)x - 12/5
PLEASSEEEE HELP ASAP , WHAT IS THE SHAPE OF THE BASE AND SURFACE AREA?
Answer:
Total surface area : 733
The shape of the base is a rectangle with sides 11 in. and 12 in.
Step-by-step explanation:
The shape of the base is a rectangle with sides 11 in. and 12 in.
The surface area is the sum of the areas of the 5 sides.
Area of the base = 11*12 = 132
Area of the two triangles = (11*16)/2 = 88
Area of the back rectangle = 192
The theorem of Pitagora to find the oblique side: square root of (11*11 + 16*16)= 19.42 in.
So the area of the oblique face: 19.42* 12 = 233 (almost :) )
So total surface area: 132 + 88*2+192+233= 733 square in
Stan pays a 10% deposit to put a pool table on lay-by.
If the pool table costs $1590, how much does he have left to pay?
Answer:
$1431
Step-by-step explanation:
If Stan pays a 10% deposit, he pays $159. 10% of $1590 is simply 0.1 * 1590 = 159. Assuming this is the only amount he pays, he then simply needs to pay the full price minus $159. We can find this by simply subtracting 159 from 1590 to get 1431. Stan still needs to pay $1431.
if f (1) =5 and f (n) = 5f (n-1) + 5 then find the value of f (3)
Using the given information, the value of the f(3) is 155
Determining the value of a functionFrom the question, we are to determine the value of f(3)
From the given information,
f(n) = 5f(n-1) + 5
∴ f(2) = 5f(2-1) +5
f(2) = 5f(1) + 5
From the given information,
f(1) = 5
Then,
f(2) = 5(5) + 5
f(2) = 25 + 5
f(2) = 30
Also,
f(3) = 5f(3-1) + 5
f(3) = 5f(2) + 5
∴ f(3) = 5(30) + 5
f(3) = 150 + 5
f(3) = 155
Hence, the value of the f(3) is 155.
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The ratio of boys to girls in a class is
3:4. If there are 28 students
altogether in the class, how many of
them are girls?
Answer:
16 girls.
Step-by-step explanation:
Ignoring for a second the strict gender binary here, let's break down what this problem is telling us. A ratio of 3 boys to 4 girls means that for every 3 + 4 = 7 students, 3 are boys and 4 are girls. A class of 28 students is 4 times bigger than 7, so we can multiply each number in the ratio by 4 to get the count for this larger class. Doing that math, we find 3 · 4 = 12 boys and 4 · 4 = 16 girls.
Rewrite the following equation in standard form.
y = 5x − 8
Answer:
Step-by-step explanation:
in standard form it is
5x - y = 8
A PACK OF TOILET PAPER WAS ORIGINALLY $4.50 , IT COST $6.75. DID THE PRICE INCREASE OR DECREASE?
Please help asap.Thanks
Ratio & rate graphs:
A commercial airplane is flying at a rate of 15 miles every 2 minutes.
Complete the table.
Minutes: 2,___, 6, 10
Miles flown: 15, 30,___,___
Answer:
4, 45, 75
Step-by-step explanation:
15 miles per 2 min = 7.5 miles per 1 min
2 min = 15 min
4 min = 30 min
6 min = 45 min
10 min = 75 min
can anyone answer this? i’ve had multiples tutors and none have been able to help.
Answer:
Area = 3430
Step-by-step explanation:
Graphing y = 28x - x^2 with it's limit interval (0<x<28). They ask for four sub-interval of LRAM.
Divide the base of 28 into 4 equal rectangles.
Area = (Base * Height) + (Base * Height) + (Base * Height) + (Base * Height)
Area = (0 * 7) + (147 * 7) + (196 * 7) + (147 * 7)
Area = 3430
