Answer:
793
Step-by-step explanation:
Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.
So, -10--21=11 and also 1--10=11
so common difference is 11
now we will use the formula Asubn=Asub1+d(n-1)
D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1
Anyways, Asub75=-21+11(75-1)=793
Will the given side lengths from a right triangle?yes or no 4.5,6and 7.5
Yes it is possible.
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7.
Adam purchased 52 litres of gas for $58.71. How much was one litre of gas? (Round to
three decimals)
Answer:
$1.129
Step-by-step explanation:
What is the solution of 2x-5(x-4)=-8+5x-12.
Answer:
x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
A ticket to see your favorite baseball team costs $. 45.04That price decreases by $0.24for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 41 games. What is the price of a ticket after the team loses 41 games?
a doubles tennis court measures (7x+8) ft in length and (3x+6) ft in width. which expression represents the area of the court
If the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]
Recall:
Area of a rectangle = length x widthGiven the algebraic expressions for the dimension of the rectangular court as:
length = (7x + 8) ft
width = (3x + 6) ft
Therefore,Area = [tex](7x + 8) \times (3x + 6)[/tex]
Apply the distributive property[tex]Area =7x(3x + 6) +8(3x + 6)\\\\Area = 21x^2 + 42x + 24x + 48\\\\[/tex]
Add like terms[tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]
Therefore, if the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]
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what is 3 square root of 64
Answer:
24
Step-by-step explanation:
sir? sir? are u there? help me -_-
Answer:
a) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9C7 to get 36.
However, you can also use this formula: [tex]nCr=\frac{n!}{r!(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.
Plug in values:
[tex]\frac{9!}{7!(9-7)!} =\frac{9!}{7!*2!}=\frac{9*8}{2!}=36[/tex]
b) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9P7 to get 181440.
However, you can also use this formula: [tex]nPr=\frac{n!}{(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.
Plug in values:
[tex]\frac{9!}{(9-7)!} =\frac{9!}{2!}=9*8*7*6*5*4*3=181440[/tex]
the length of a cuboid is 3 times of it's height and it's breadth is 2 times it's height if the volume of the cuboid is 48000cm cube, calculate it's dimensions
Answer:
The length, breadth and height of cuboid are 60 cm, 40 cm and 20 cm.
Step-by-step explanation:
Let,
The height of cuboid be X cm.The length of cuboid is three times of it's height. So, it will be 3x.The breadth of cuboid is two times of it's height. So, it will be 2x.Now, substuting all the given values in the formula to find the value of x.
[tex]\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}[/tex]
➝ V = Volume ➝ l = length ➝ b = breadth➝ h = height[tex]\begin{gathered} \qquad\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2x \times x}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2{x}^{2}}}\\\\\qquad\longrightarrow{\sf{48000 = 6{x}^{3}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = \dfrac{48000}{6}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = 8000}}\\\\\qquad\longrightarrow{\sf{x = \sqrt[3]{8000}}}\\\\\qquad\longrightarrow{\sf{x = 20}}\\\\ \qquad{\star{\underline{\boxed{\sf{\purple{x = 20}}}}}} \end{gathered}[/tex]
Hence, the value of x is 20.
Now, we know the value of x. So, calculating the dimensions of cuboid :
Length = 3x
➝ 3 × 20➝ 60 cmBreadth = 2x
➝ 2 × 20➝ 40 cmHeight = x
➝ 1 × 20➝ 20 cm[tex]\rule{300}{2.5}[/tex]
CALCULATE
(32/40×100%) =??
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I WILL MAKE BRAINLIEST WHO WILL ANSWER CORRECT ( ╹▽╹ )
Answer:
[tex] \frac{32}{40} \times 100[/tex]
[tex] \frac{32}{4} \times 10[/tex]
[tex]8 \times 10[/tex]
[tex]80[/tex]
80 is the answer
Answer:
(32/40×100%)= x
(32/ 40 ) × 100 = x
0.8 × 100 = x
x = 80
(32/40×100%)= 80
A. Wealth
B. Level of living
C. liquidity
D. Assets
Answer:
D: assets.
Step-by-step explanation:
To make 100g of jam you need 57g of strawberries, 17g of blackberries and the rest should be sugar.
What is the ratio of blackberries to sugar?
Give your answer in its simplest form.
3.) What would 9 gallons of gas cost at $2.12 per gallon? *
$18.80
O $17.56
$19.08
$11.12
Answer:
19.08
Step-by-step explanation:
each gal = $2.12
gals filled = 9
9 x 2.12 = 19.08
The mean of 16, X, 3, 14,57 is 22. Find
Х
Answer:
20
Step-by-step explanation:
Given,
The mean of 16, X, 3, 14, 57 is 22.
Therefore,
(16+X+3+14+57)/5 = 22
(16+X+3+14+57) = 110
(90+X) = 110
X = 110-90
X = 20
The value of x will be 20.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mean of set 16, X, 3, 14, 57 is 22.
Now,
Since, The mean of 16, X, 3, 14, 57 is 22.
Hence, By definition of mean we get;
⇒ 16 + X + 3 + 14 + 57 / 5 = 22
Solve for x as;
⇒ 90 + X / 5 = 22
⇒ 90 + X = 22 × 5
⇒ 90 + X = 110
⇒ X = 110 - 90
⇒ X = 20
Thus, The value of x will be 20.
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The Shanghai Maglev Train takes 8 minutes to travel a distance of 30.5 kilometres.
Work out the average speed of the train.
Answer:
228.75 km/h
Step-by-step explanation:
average speed = total distance / total time
The Average speed is 228.75 Km/h.
What is speed- Distance Formula?Speed = Distance/TimeDistance = Speed X Time, and Time = Distance / Speed,Given:
Distance= 30.5 Km
Time= 8 min
= 8/60 hr= 2/15 hour
Now, Average speed= Distance / time
= 30.5 x 15/2
= 228.75 Km/ h
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SnackTime Foods produced 3,181,990 grams of popcorn last year, which was placed in 7- gram bags. How many bags did the company fill? bags Submit
Answer:
The company filled 454570 bags.
Step-by-step explanation:
Plzzz help meeeeeplzzz
Answer:
1 1 0 0 1 1 (base 2)
Step-by-step explanation:
Do it as a common sum operation, remember that when you have 2 or more you need to carry over.
somebody know the formula of a trapezium?
Hello There!
The formula for finding the area of a Trapezium is as follows.
A = a + b over 2, h
The first base being = a
The second base being = b
and the height being = h
So to solve plug in the values as described below.
a + b = ab
ab divided by 2
ab- times h
ab-h = Area
I hope I helped!
Brainliest is always appreciated.
what is the slope of the line that passes through the points (-3, 1) and (1, -5)
A) 1/2
B) -1/2
C) -3/2
Answer:
[tex]\boxed {\boxed {\sf C. \ - \frac {3}{2}}}[/tex]
Step-by-step explanation:
We are asked to find the slope of the line.
Slope is a number that tells us the steepness and direction of a line. It is the change in y over the change in x.
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.
We are given the points (-3, 1) and (1, -5). If we match the value with its corresponding variable, we see that:
x₁ = -3 y₁ = 1x₂ = 1 y₂ = -5Substitute the values into the formula.
[tex]m= \frac{-5 -1}{1 - -3}[/tex]
Solve the numerator.
-5-1= -6[tex]m= \frac{ -6}{1--3}[/tex]
Solve the denominator. Two back-to-back negative signs become a positive sign.
1 - -3 = 1+3 =4[tex]m=\frac{-6}{4}[/tex]
Simplify the fraction. Both the numerator and denominator can be divided by 2.
[tex]m= \frac{-6/2}{4/2}[/tex]
[tex]m= -\frac{3}{2}[/tex]
The slope of the line is -3/2, so the correct choice is C.
Solve the simultaneous equations
x + y = – 6
-x + 2y = 15
Answer:
x = -9, y = 3
Step-by-step explanation:
I hope it helps!
Alex washed 10 1/2 windows in 3/4 hour. At this rate, how many windows can he wash in one hour?
Answer:
In an hour, Alex can wash 14 windows.
Step-by-step explanation:
10 1/2 windows per 3/4 hour
per usually means a / sign because you are finding the unit rate
10.5/0.75 (I just converted everything into a fraction to make it easier)
solve:
10.5/0.75 = 14
Another way to solve:
10 1/2 / 3/4
= 21/2 * 4/3
= 21*4/2*3
= 84/6
= 14
Check:
If Alex washes 14 windows per hour, you can check by multiplying 14 by 3/4 of an hour
14*3/4
=42/4
=10.5
10.5 is the same as 10 1/2
A construction worker measures the amount of cement in a cement truck every 5 minutes as it empties. The table shows the data What is the rate of change for the volume of cement in the truck?
the rate of change of the amount of cement is:
Answer:
35
Step-by-step explanation:
210 - 175 = 35
175 - 140 = 35
140 - 105 = 35
105 - 70 = 35
I hope this helps!
pLS HELP ME 15 points in total
Answer:
Its 53 because 1=1 and 2=2
Step-by-step explanation:
Select the two values of x that are roots of this equation.
x² + 2x - 4 = 0
O A. x= -1 - 15
B. x= -1+5
C. X=-1-215
D. x = -1+2-15
Answer:B and c
Step-by-step explanation:
If you are to
evaluate your life now using polynomial functions , how will you
look at it?
solve pls brainliest
Answer:
1)36
2)1/36
Step-by-step explanation:
Hope it can help you lovelots
what is the equation of a line that passes through the points (6,9) and is perpendicular to the line
Answer:
the line is perpendicular to what line you didn't mention that
Step-by-step explanation:
Miss Rudolph recorded the change in temperature of a cooling liquid as -27.5 Fahrenheit over 2.5 minute. The temperature fell at a constant rate what was the rate of change in the temperature
Step-by-step explanation:
how many cups of water do you need to fill in one jar maths
Solve the equation.
−43p+6=12
Answer:
Step-by-step explanation:
ANSWER ASAP WILL AWARD BRAINLIEST
Answer:
Pretty sure the answer is 9−4√3
[tex]\dfrac{(5-\sqrt 3)(3-\sqrt 3)}{2}\\\\=\dfrac{15 - 5\sqrt 3 - 3\sqrt 3 + 3}{2}\\\\=\dfrac{18 - 8 \sqrt 3}2\\\\=\dfrac{18}2 - \dfrac{8 \sqrt 3}2\\\\=9- 4\sqrt 3[/tex]
what is the value of this expresston 3(s^3-6s) + 4t^2 when s=5 and t=3
Answer:
321
Good Luck!!