Answer: Distributive property a(b+c) = ab + ac
-5(7)x + 7(7) = -35x + 49 (D)
Find the value of x
.
12.5,−10,−7.5,x
; The mean is 11.5
.
Step-by-step explanation:
please mark me as brainlest
Answer:
x = 51
Step-by-step explanation:
If the mean = 11.5, then that means all numbers added together divided by four = 11.5. Let's write this algebraically:
[tex]\frac{12.5+(-10)+(-7.5)+x}{4}=11.5[/tex]
Now, let's solve for x:
[tex]12.5-10-7.5+x=11.5(4)[/tex]
[tex]-5+x=46[/tex]
[tex]x=51[/tex]
I hope this helps!
4x−4<8 AND 9x+5>23
Doing Khan Academy
HelP!!
Answer:
x<3 and x>2
Step-by-step explanation:
write the symbols this < and > to get the correct answer
help ! 50 points Savanah is shopping for planters for her new plants. Which measurement should she use to determine how much soil each planter will hold?
A. Area
B. Depth
C. Perimeter
D. Volume
Figure #3 (Round to the nearest tenth)
Volume =_____cm^3
What is the relationship between the ratios? 10/24 and 5/12 Proportional Not proportional (the numbers are fractions)
Answer:
Proportional
Step-by-step explanation:
[tex]\frac{10}{24}= \frac{5}{12}[/tex] the ratio is 2:1
5 x 2 = 10
12 x 2=24
The ratios are proportional.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Answer:
The given ratios are proportional
Step-by-step explanation:
To consider the fractions as "proportional", they must be equivalent. Let us assume that the fractions are equivalent. Then, we get;
[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]
When using cross multiplication, we get;
[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]
[tex]\implies 10 \times 12 = 24 \times 5[/tex]
When simplified, we get;
[tex]\implies 10 \times 12 = 24 \times 5[/tex]
[tex]\implies 120 = 120 \ \checkmark[/tex]
Therefore, the relationship is proportional.
Geometry question pic Below
Arc JK = ______°
M<1 = ______°
Answer:
Step-by-step explanation:
Evaluate each expression.
a. 1/2(5+13)-4.5
b.(5+11)-(24-15)•(3)
c.6²+3•7-9÷3
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]
Let's solve ~
Expression 1[tex]\qquad \sf \dashrightarrow \: \frac{1}{2} (5 + 13) - 4.5[/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{1}{2} (18) - 4.5[/tex]
[tex]\qquad \sf \dashrightarrow \: 9 - 4.5[/tex]
[tex]\qquad \sf \dashrightarrow \:4.5[/tex]
Expression 2[tex]\qquad \sf \dashrightarrow \:(5 + 11) - (24 - 15) \times 3[/tex]
[tex]\qquad \sf \dashrightarrow \:16 - (9 \times 3)[/tex]
[tex]\qquad \sf \dashrightarrow \:16 - 27[/tex]
[tex]\qquad \sf \dashrightarrow \: - 11[/tex]
Expression 3[tex]\qquad \sf \dashrightarrow \: {6}^{2} + (3 \times 7) - (9 \div 3)[/tex]
[tex]\qquad \sf \dashrightarrow \:36 + 21 - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:57 - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:54[/tex]
Is (3, 28) a solution to 4x-y=-16
Answer:
Yes
Step-by-step explanation:
4(3) - 28 = -16
12= -16 + 28
12 = 12
Hope that helps!
I have already done Number one but I need help with 2. Please help when you find time to!
Answer:
Step-by-step explanation:
Formulae
Area of a triangle = 1/2 x base x height
Area of a rectangle = width x length
Question 1
Surface area of square based pyramid = area of base + 4 × area of triangle
⇒ SA = (6 × 6) + 4(1/2 × 6 × 14)
= 36 + 168
= 204 yd²
Question 2
Surface area of a cuboid = 2 × base area + 2 × end area + 2 × side area
⇒ SA = 2(10 × 6) + 2(6 × 3) + 2(10 × 3)
= 120 + 36 + 60
= 216 mm²
Extra credit question
Surface area of a triangular based prism = base area + 2 × triangle area + 2 × side areas
base area = 3 × 10 = 30 mm²
triangle area = 1/2 × 3 × 2 = 3 mm²
side area = 10 × 2.5 = 25 mm²
⇒ total SA = 30 + (2 × 3) + (2 × 25)
= 30 + 6 + 50
= 86 mm²
❍ Concept :-
We can solve these questions by using the formulas of area of triangle and rectangle, which will make our work easier. So, we know that,
⠀
[tex] \blue{ \underline{ \boxed{ \begin{array}{cc} \sf1. ~Area_{Triangle} = \dfrac{1} {2} \times b \times h \qquad \: \: \: \: \: \: \: \\ \\ \\ \sf2. \: Area_{Rectangle} = Length \times Breadth \end{array}}}} \\ \\ [/tex]
Using these formulas and figuring out the number of triangles and rectangles in each shape, we will solve this question.
⠀
✰ Solution :-
⠀
1. In this square pyramid, if we closely observe, we will get to know that there are 1 rectangle and 4 triangular faces. Thus,
⠀
[tex]\sf \hookrightarrow Area=6 \times 6 + 4( \dfrac{1}{2} \times 6 \times 14) \\ \\ \\ \sf \hookrightarrow Area=36 + 168 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {204 \: yd}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ [/tex]
⠀
2. Now, here, we can use the formula of total surface area for cuboid, i.e.
⠀
TSA = 2( lb + bh + hl )
⠀
[tex]\sf \hookrightarrow Area=2(10 \times 6 + 6 \times 3 + 10 \times 3) \\ \\ \\ \sf \hookrightarrow Area=2(60 + 18 + 30) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area=2 \times 108 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {216 \: mm}^{2} \: \: \qquad \qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
⠀
Extra Credit Question.
⠀
Here, we can find out the total surface area by finding,
⠀
Base area i.e. length x breadth ( B.A. )
Side area i.e. length x breadth ( S.A. )
triangular area = 1/2 x b x h ( T.A. )
⠀
Now,
⠀
TSA = BA + 2 x S.A. + 2 x T.A.
⠀
[tex]\sf \hookrightarrow Area=(10 \times 3) + 2(10 \times 2.5) + 2(\dfrac{1}{2} \times 3 \times 2) \\ \\ \\ \sf \hookrightarrow Area= 30 + 2 \times 25 + 2 \times 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area=30 + 50 + 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {86 \: mm}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
A year has four seasons. What is the probability that a day chosen at random will be in the spring?
Answer:
1/4; 25%
Step-by-step explanation:
if a year has four seasons we can say that there are 4 possibilities
spring appears once
this means that the probability that a day chosen at random will be in spring would be 1 out of 4
or 25%
For what values of x will the function f(x) = 5x^2 + x - 6 equal zero?
A)x = -3 or 2
B)x=6/5 or -1
C)x = 3 or -2
D)x = -6/5 or 1
5x² + x - 6 = 0
Δ = 1² - 4*5*(-6) = 121 = 11²
x' = (-1 - 11) / (2x5) = -12/10 = - 6/5
x" = (-1 + 11) / (2x5) = 10/10 = 1
=> D
The values of x will the function [tex]f (x) = 5x^2 + x - 6[/tex] equal zero are x = - 6/5 and x = 1. Hence option D is true.
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Example; ax² + bx + c = 0
Given that the quadratic equation,
[tex]f (x) = 5x^2 + x - 6[/tex]
Now for the values of x at which the function equals zero, we have to find the zeroes of the function by using the factorization method.
[tex]f (x) = 5x^2 + x - 6[/tex]
[tex]f (x) = 5x^2 + (6 - 5)x - 6[/tex]
[tex]f (x) = 5x^2 + 6x - 5x - 6[/tex]
[tex]f (x) = x (5x + 6) - 1 (5x + 6)[/tex]
[tex]f (x) = (5x + 6) (x - 1)[/tex]
Hence, the value of zeroes,
[tex]5x + 6 = 0[/tex]
[tex]5x = - 6[/tex]
[tex]x = \dfrac{- 6}{5}[/tex]
And, [tex]x - 1 = 0[/tex]
[tex]x = 1[/tex]
So, the value of x is x = - 6/5 and x = 1. Hence option D is true.
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Which of the following is equivalent to : 3x + 6 + 2x + 2 + x
A. 5x + 8
B. 6x + 8
C. 14x
A three-dimensional model of lucia’s apartment is shown. to cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. a rectangular prism is shown. the rectangle has sides lengths of 20 feet and 48 feet. the height of the prism is 10 feet. a smaller rectangular prism is cut out of the side. it has side lengths of 9 feet and 16 feet and a height of 10 feet. how many btus are needed to cool lucia’s apartment? 19,600 btus 19,800 btus 20,400 btus 24,000 btus
The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
What is of volume of rectangular prism?Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.
Volume of a rectangular prism is the product of its width, height and length.
[tex]V=w\times h\times l[/tex]
Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,
[tex]V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3[/tex]
To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,
[tex]n=8160\times2.5\\n=20400\rm\; btus[/tex]
Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
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Answer:
20,400 BTUs
Step-by-step explanation:
Find the 51st term of the arithmetic sequence 29,9, -11, ...
Answer:
Step-by-step explanation:
29-9=20
9-(-11)=20
50×-20=-1000
-1000+29=-971
if p(x)=x2+2x-5 and g(x)=x-3, what is p(x) – gx)?
Answer:
x2+x-2
Step-by-step explanation:
i had this question before
Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the profit, to the nearest dollar, for a selling price of 28.25 dollars
Answer:
y = -7.235451 x^2 + 402.5542 x - 2382.736
Please Help! Will Give Brainlest!
Answer:
height of tress is 20 feet
Step-by-step explanation:
because tan = perpendicular/ height
we see option only 20 feet satisfy it
Answer:
Option D :- 20 feet
Step-by-step explanation:
[tex] \sf \tan ( \theta) = \frac{height}{distance} [/tex]
[tex] \rightarrow \sf \: \tan (\theta) = \frac{20}{50} [/tex]
[tex] \sf \: height \: = 20 \: ft[/tex]
I need help. SO confused
Answer:
The answer would be 1/4% or 25%.
Step-by-step explanation:
The reason why is that there were 20 students in the class. 5 people wanted to work in groups. That is 25% of the students. That is why 25% or 1/4% is your answer.
An integer number is chosen randomly between 1 and 1000. What is the probability that the number picked is divisible by 3 or 5 (i. E. , either 3 or 5 or both)?
Answer:
Umm..... sorry but.....my answer came.......
The probability that the number picked is divisible by 3 or 5 is 0.555.
What is probability?Probability sampling is defined as a sampling technique in which the researcher chooses samples from a larger population using a method based on the theory of probability.
An integer number is chosen randomly between 1 and 1000.
The number of numbers divisible by 3, which is;
[tex]\rm \dfrac{1000}{3}=3333.3 = 333[/tex]
The number of numbers divisible by 5, which is;
[tex]\rm \dfrac{1000}{5}=200[/tex]
The probability that the number picked is divisible by 3 or 5 is;
[tex]\rm Probability=\dfrac{Number \ divisble \ by \ 3+ Number \ divisble \ by \ 5}{1000}\\\\ Probability =\dfrac{333+200}{1000}\\\\Probability=\dfrac{533}{1000}\\\\Probability=0.533[/tex]
Hence, the probability that the number picked is divisible by 3 or 5 is 0.555.
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HELPPPPPPPPPPPPPPPPPPP
Answer:
i dont know use the internet
Step-by-step explanation:
this is the right way
Evaluate the expression when x = 3.
x² + 6x - 3
Answer:
X=3
[tex] {3}^{2} + 6(3) - 3 \\ 9 + 18 - 3 \\ 27 - 3 \\ = 24[/tex]
vertically stretched by a factor of 2, then translated
4 units left and 1 unit down
A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:
g(x) = 2*f(x + 4) - 1
How to write the given transformation?
For a general function f(x), a vertical stretch of scale factor K is written as:
g(x) = K*f(x).
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
If N is positive, the shift is to the left.If N is negative, the shift is to the right.Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
If N is positive, the shift is upwards.If N is negative, the shift is downwards.So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:
g(x) = 2*f(x)
Then we translate it 4 units left:
g(x) = 2*f(x + 4)
Then we translate 1 unit down:
g(x) = 2*f(x + 4) - 1
This is the equation for the transformation.
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PLEASE HELP ASAP
(answer as many as you can please)
a. write the first four terms of the series
b. does the series diverge or converge?
c. if the series has a sum, find the sum
Answer:
A) -4,-4/3,-4/9,-4/27
B) converge
C) no idea
The least common denominator of 7/12, 1/3, and 3/4 is
Answer:
12.
Step-by-step explanation:
3, 4, and 12 all divide into 12 .
There are only blue sweets, green sweets and red sweets in a box.the ratio of the number of blue sweets to the number of green sweets is 2: 7the ratio of the number of green sweets to the number of red sweets is 3 : 1there are less than 140 sweets in the box.what is the greatest possible number of red sweets in the box? your final answer must include the words, 'red sweets'.
Answer:
According to question if we observe, number of red sweets are the least
It 's only 1%
Step-by-step explanation:
Researchers randomly surveyed people at two amusement parks, Funland and Thrillville, to find out how many times they visit the park per year. Following are the data from the two surveys.
Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2
Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8
How many more times per year, on average, do people visit Thrillville than Funland?
On average, people visit Thrillville 2 more times per year than Funland.
AveragesTo determine how many more times per year, on average, do people visit Thrillville than Funland, the following calculation must be performed:
Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2 = 4545 / 15 = 3Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8 = 100100 / 20 = 55 - 3 = 2Therefore, on average, people visit Thrillville 2 more times per year than Funland.
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Determine the solution to each linear system by using the substitution method
3x+2y=4
2x-y=5
Answer:
The solution is x = 2
Step-by-step explanation:
i) 3x+2y=4
ii) 2x-y=5
Let's isolate y for the second equation
2x-y=5
2x-5 = y
y = 2x-5
Now use this y and substitute it in the first equation.
3x+2y=4
3x + 2(2x-5) = 4
3x + 4x - 10 = 4
7x / 7 = 14 / 7
x = 2
BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?
evaluate the expression when c=9 and d=4. 5c+d
Answer:
5(9)+4= 45+4.....= 49
Step-by-step explanation:
Factor the GCF: 9x4y − 6x3y2 3x2y3. 3x2y(3x2 − 2xy y2) 3xy(3x2 − 2xy y2) 3xy2(3x2 − 2xy y2) 3x2y(3x2 2xy y2).
The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
What is factored form?The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.
We need to write the given expression [tex]9x^4y-6x^3y^2 + 3x^2y^3[/tex] in the factored form, therefore, we will take the common terms out of the given expression,
1. Taking 3 as the common term, we will get,
[tex]9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)[/tex]
2. Taking x² as the common term
[tex]= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\[/tex]
3. Taking y as the common term,
[tex]= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\[/tex]
Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
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