Answer:
77 "
Step-by-step explanation:
'mean' is the average of all of the heights
( 84 + 84 + 77 + 63 + 70 + 70 + x) / 7 = 75
x = 77
??? Please
Which point represents -2 3/8 on the number line?
Answer:B
count 2 and ~1/4 back and you get b
54
A large pizza costs $18. Each topping costs an additional $2.25, and each side
costs an additional $2.50.
Part A: Write an expression to represent the cost of a large pizza with
t toppings and s sides.
Part B: What is the cost of buying a large pizza with 2 toppings and 3 sides?
Answer:
Part A: total pizza cost = 2.50s + 2.25t + 18
Part B: 30 dollars
Step-by-step explanation:
I hope this helped! If it did, please click "Thanks"!
Answer:
Part A: 18 + 2.25t + 2.50s
Part B: $30
Step-by-step explanation:
Let t= each additional topping
Let s=each side
First we add the cost of one pizza ($18)
Then we add each additional topping (t) multiplied by its cost (2.25 dollars)
Finally we add each side (s) multplied (2.50 dollars)
Part B:
Plug in 2 for t and 3 for s into the expression from earlier and simplify:
Expression: 18 + 2.25(2) + 2.50(3)
=18+ 4.50 + 7.50
=30
And there you have it- the total cost is $30.
Hope this helps and good luck in your studies :)
Evaluate the expression (-0.3)⁴
The expression (-0.3)⁴ is an exponential expression and the value of the expression is 0.0081
How to evaluate the expression?The expression is given as:
(-0.3)⁴
Expand the expression
(-0.3)⁴ = (-0.3) * (-0.3) * (-0.3) * (-0.3)
Evaluate the product
(-0.3)⁴ = 0.0081
Hence, the value of the expression is 0.0081
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Write an informal proof proving that the two triangles are congruent.
The triangle is congruent with the ASA property.The two triangles are having same sides AB = XY, BC = YZ and CA = ZX and the same angles ∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z.
What is congruency?If two triangles are congruent, this means they are the same shape and the same size.
By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.
The triangle is congruent by the ASA theorem. Here in the question, we can see in the figure that two angles ∠A = ∠X and ∠B = ∠Y so the third angle must be equal so ∠C = ∠Z.
Since side XY = AB and the three angles are equal so the other two sides will also be equal for the two triangles.
Therefore triangle is congruent with the ASA property.The two triangles are having same sides AB = XY, BC = YZ and CA = ZX and the same angles ∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z.
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John earned 2% commission on the sale of a $95,000 house. How much commission did he earn?
*
10points
xpress the logarithm in terms of ln 2 and In 5.
In 80
Answer:
4ln 2+ln 5
Step-by-step explanation:
Determine the number of real number solutions for the equation 2^2-2x+6=0
Answer:
Step-by-step explanation:
x=(1-sqrt(13))/2=-1.303
x=(1+sqrt(13))/2=2.303
steps
(2x2 - 2x) - 6 = 0
step 2 pull out like terms
2x2 - 2x - 6 = 2 • (x2 - x - 3)
step 2 continued
3.2 Factoring x2 - x - 3
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .
-3 + 1 = -2
-1 + 3 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
step 3
2 • (x2 - x - 3) = 0
Step 4
4.2 Find the Vertex of y = x2-x-3
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 0.5000
Plugging into the parabola formula 0.5000 for x we can calculate the y -coordinate :
y = 1.0 * 0.50 * 0.50 - 1.0 * 0.50 - 3.0
or y = -3.250
step 4
4.4 Solving x2-x-3 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -1
C = -3
Accordingly, B2 - 4AC =
1 - (-12) =
13
Applying the quadratic formula :
1 ± √ 13
x = —————
2
√ 13 , rounded to 4 decimal digits, is 3.6056
So now we are looking at:
x = ( 1 ± 3.606 ) / 2
Two real solutions:
x =(1+√13)/2= 2.303
or:
x =(1-√13)/2=-1.303
concluision
x =(1-√13)/2=-1.303
x =(1+√13)/2= 2.303
he table shows the relationship “Mason rode 15 miles per hour on his bicycle.”
Hours (h)
Miles (m)
1
15
2
30
3
45
4
60
5
75
Which statements are correct? Check all that apply.
The variable m is the independent variable.
The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
The variable h is the independent variable.
The variable h is the dependent variable.
The farther Mason rides, the less time it takes.
The variable m is the dependent variable.
Answer: The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
The variable h is the independent variable.
The variable m is the dependent variable.
Step-by-step explanation:
Jocelyn recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Eighth Grade Students
Instrument # of Students
Instrument # of Students
Guitar
12
Guitar
11
Bass
3
Bass
7
Drums
10
Drums
13
Keyboard
14
Keyboard
2
Based on these results, express the probability that a student chosen at random will
play an instrument other than drums as a fraction in simplest form.
The probability that a student chosen at random will play an instrument other than drums is 31/36.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability can be defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Total number of elements of sample space is 36.
Based on these results, express the probability that a student chosen at random will play an instrument other than drums as;
31/36
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Find the LCM:
h. 3x^2(x+1) (x-1) and 6x(x-1)^2 (x+2)
Answer:
the LCM is 6x^2(x-1)^2(x+2)
Write the ratio for the trig function indicated.
Answer:
cos(θ) = 3/4
Step-by-step explanation:
Since cos=adj/hyp, the Hypotenous is 24, and the adjacent is 18. We write cos(θ)=18/24, which can be simplified to cos(θ)=3/4.
Write an equation of the direct variation that includes the point (35, 7)
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}~\hfill \textit{we also know that} \begin{cases} x= 35\\ y = 7 \end{cases} \\\\\\ 7=k(35)\implies \cfrac{7}{35}=k\implies \cfrac{1}{5}=k~\hfill \boxed{y=\cfrac{1}{5}x}[/tex]
The equation y = 1.99x represents the cost y for x downloaded songs. Is this equation a direct variation?
- Yes, this is a direct variation
- No, this is not a direct variation.
( Will give 20 points )
Answer:
No.
Step-by-step explanation:
To find the y value, one must replace x value, meaning that it's a multi step problem and it's not direct because y=exact value is not given
If a = -8, b = -7, c = 6, then verify that (a+b) + c = a+ (b+c)
tysm for de help ✨
The given information is,
→ a = -8
→ b = -7
→ c = 6
Let's verify the problem,
→ (a+b) + c = a+ (b+c)
→ (-8 - 7) + 6 = -8 + (-7 + 6)
→ -15 + 6 = -8 - 1
→ -9 = -9
→ [ LHS = RHS ]
Hence, it is equal and verified.
3 Given 7x + 2 > 58, which number is not in the solution set?
(1) 6
2: 8
(3) 10
(4) 12
Answer:
(1) 6
Step-by-step explanation:
Let's start by solving the inequality.
7x +2 > 58
Minus 2 on both sides:
7x > 58 -2
7x > 56
Divide both sides by 7:
x > 56 ÷7
x > 8
This means that the value of x has to be greater than 8. 6 is smaller than 8, and is therefore not in the solution set. Thus, option 1 is the correct answer.
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Given 7x+2>58, which number is not in the solution set?
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer \& how to solve:-}}}\rule{50}{1}[/tex]
First, subtract 2 on both sides:-
[tex]\sf{7x > 56}[/tex]
Now divide by 7 on both sides:-
[tex]\sf{x > 8}[/tex]
Henceforth, We conclude that
[tex]\large\textsf{Numbers greater than 8 make this inequality true}[/tex].
Edit:- Option A (6) is the correct answer, since it's not greater than 8, so it doesn't satisfy the inequality.
Good luck with your studies.[tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
What is the sum for 5x + 3x = 28x
Answer:
5x + 3x = 28x
8x = 28x
x must be 0
Randy works 50 weeks a year, averaging $500 a week in wages. He is offered a salaried position at $27,500 a year. If he accepts it, he will make ______. a. less money b. more money c. the same amount d. can’t tell
Answer:
b. more money
Step-by-step explanation:
Randy's original position lets him make:
50*500 = $25,000
The new position will let him make:
$27,500
Therefore,
original position < new position = $25,000 < $27,500
PLEASE HELP!
Before you answer:
-No spam (Will be reported)
-No incorrect answers (Will be reported)
-Correct answers and explanations will be mark as BRAINLIEST
Answer:
Step-by-step explanation:
Cone:diameter = 12 cm
r = 12 ÷ 2 = 6 cm
h = 6 cm
[tex]\sf \boxed{\text{\bf Volume of cone = $\dfrac{1}{3} \pi r^2h$ }}[/tex]
[tex]\sf = \dfrac{1}{3}*3.14*6*6*6\\\\ = 226.08 \ cm^3[/tex]
To find the surface area, we need to find the slant 'l'
[tex]\sf l = \sqrt{h^2+r^2}\\\\ =\sqrt{6^2+6^2}\\\\ = \sqrt{36+36}\\\\ =\sqrt{72}\\\\= 8.49 \ cm[/tex]
[tex]\sf \boxed{\text{\bf Total surface area of cone = $\pi r(r+l)$}}[/tex]
= 3.14 * 6 * (6 + 8.49)
= 3.14 * 6 * 14.49
= 273 cm²
On Monday a team of street sweepers cleaned 1 1/3 city blocks. Tuesday, the team cleaned 1/5 as many blocks as on Monday. How many city blocks did the street sweepers clean on Tuesday?
Answer: 4/15
Step-by-step explanation:
1. Change 1/3 to 4/3 by multiplying the numerator by 3 and adding one.
2. Multiple 4/3 by 1/5 to get 4/15.
A 4-pack of straw hats costs $22.76. What is the unit price?
Answer:
5.69
Step-by-step explanation:
22.76/4 = 5.69
What is the Exponential or Logarithmic function?
Answer:
An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
In the figure, mm is parallel to n and r is a transversal. If m=45 degrees, find the measure of each angle.
find the area of the following figure
Answer:
C) 312 cm^2
Step-by-step explanation:
To find the total area of the composite figure, you must sum the individual components of the figure.
First, we find the area of the rectange, which is A = l x w = 16 x 12 = 192
Second, we find the area of the first triangle which is also equal to the area of the second triangle, so instead of finding the base times height and dividing by 2, we will simply find the area of base times height and it will work for both trianges.
A = b x h x 1/2 x 2 = 10 x 12 = 120
120 + 192 = 312 cm^2
Katie has multiple numbers: 9, 2, 3, 1, 3, 9, 10, 7, 1, 9, 5, 8. She arranges them from 1 to 10. She is trying to find the median. What is the median? DON'T JUST GUESS!!! NO LINKS!!!!!!!!!!!!!!!!!
Answer: The median is 6
Step-by-step explanation:
Question 37 of 49
Which of the following is a logical conclusion to the conditional statements
below?
If it is a hamburger, then it is a sandwich.
If it is a sandwich, then it can be held in your hands.
O
A. hands -> hamburger
O
B. hands > sandwich
O
C sandwich -›hamburger
D. hamburger => hands
The logical conclusion to the conditional statements in the question is; hamburger => hands.
What is logic?Logic deals with the process of arriving at a conclusion based of certain premises. If the premises are true, then the conclusion must be true and vice versa.
Thus, in this case, the logical conclusion to the conditional statements in the question is; hamburger => hands.
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A line that passes through the point (-3, -6) has a slope of Which is another point on this
Answer: (3,3)
Step-by-step explanation:
The vertex form of the equation of a parabola is y=(x-4)^2 + 22,
What is the standard form of the equation?
PLEASE HELP ASAP
Answer:
[tex]y = x^2 - 8x + 38[/tex]
Step-by-step explanation:
Hello!
The standard form of a quadratic is [tex]ax^2 + bx + c[/tex].
To convert the vertex form to standard form, we have to expand the parenthesis and add the constant.
Convert:
[tex]y = (x - 4)^2 + 22[/tex][tex]y =(x -4)(x-4) + 22[/tex][tex]y = x^2 - 4x - 4x + 16 + 22[/tex][tex]y = x^2 - 8x + 38[/tex]The standard form is [tex]y = x^2 - 8x + 38[/tex]
What is the experimental probability of the spinner landing on red?.
Answer:
The chances of landing on red are 1 in 4, or one fourth. This problem asked us to find some probabilities involving a spinner
I hope it helps you please mark me as brainlistWhich of the following could be the measure of the angle below?
O -180°
O -120°
O 140°
An angle is formed from the intersection of two lines. Types of angles are acute, obtuse and right angled.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An angle is formed from the intersection of two lines. Types of angles are acute, obtuse and right angled.
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Answer:
A. -180
Step-by-step explanation:
Edge2022
A box contains coins, number cubes labelled 1 to 6, and a spinner with 4 congruent sectors. Which 2 items from the box would you use to simulate a situation with 8 equally likely outcomes?
A) A number cube and a spinner
B) A coin and a number cube
C) Two number cubes
D) A coin and a spinner
Using the Fundamental Counting Theorem, it is found that a simulation with 8 equally likely outcomes would be generated from:
D) A coin and a spinner.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
The coin has 2 outcomes, hence [tex]n_1 = 2[/tex].The spinner has 4 outcomes, hence [tex]n_2 = 4[/tex].The total number of equally likely outcomes is given by:
N = 2 x 4 = 8.
Hence option D is correct.
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