The score of the seventh student will be given by:
[tex]x = 546 - a_1 - a_2 - a_3 - a_4 - a_5 - a_6[/tex]
What is the score of the last student?
So you know the scores of 6 of the students, let's define these as:
a₁, a₂, a₃, a₄, a₅, a₆.
And let's define x as the score of the 7th student.
We know that the average of the scores is 78% (rounded).
Then we can estimate the value of x using the average equation:
[tex]\frac{a_1 + a_2 + a_3 + a_4 + a_5 + a_6 + x}{7} = 78[/tex]
Now you can solve that for x, to get:
[tex]x = 78*7 - a_1 - a_2 - a_3 - a_4 - a_5 - a_6\\\\x = 546 - a_1 - a_2 - a_3 - a_4 - a_5 - a_6[/tex]
That is the equation to get the score of the seventh student as a function of the six known scores.
If you want to learn more about averages, you can read:
https://brainly.com/question/14532771
Answer:
82%
Step-by-step explanation:
1.) 78*7=546
2.) 546-51-67-78-78-91-99=82
Find the length of AC. Round your answer to two decimal places. A 10 in. b 40° C B a
Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:
[tex]\sin{40^\circ} = \frac{b}{10}[/tex]
[tex]b = 10 \times \sin{40^\circ}[/tex]
Using a calculator:
[tex]b = 6.43[/tex]
More can be learned about relations in a right triangle at https://brainly.com/question/26396675
A smartphone costs $120. Sales tax is 5%. What is the total cost, including tax?
Answer:
$126
Step-by-step explanation:
5% of 120 is 6.
Then add it since it askes the total including tax.
6 + 120 = 126
Dario purchased a party size sub, and he decides to share it with 3 of his friends. So, he cuts the sub into 4 equal pieces. However, another one of his friends also showed up, and there are now 5 people in total.
Part A --
Now that the sub will be shared equally among 5 people, will each person get more or less sub? Briefly state why you think so.
Part B --
Dario decides to take each one of the 4 pieces and share it equally among the 5 of them.
First, he divides one piece into 5 equal parts and shares it, then the next one, and so on.
What fraction of the party size sub did each person get after all the parts were shared out? Briefly explain your reasoning.
Answer:
less sub
if there is less, then you could also divide it into 20 pieces, and give 4 pieces per friend
Step-by-step explanation:
The nth term of a sequence is 4n^2 -n-1. What is the 11th term of the sequences?
Answer:
The 11th term is 472
Step-by-step explanation:
[tex] t_{n} = 4 {n}^{2} - n - 1[/tex]
[tex] t_{11} = 4 \times {11}^{2} - 11 - 1[/tex]
[tex] = 4 \times 121 - 12 \\ = 484 - 12 \\ = 472[/tex]
Help! Please graph it well, ect. I need this ASAP.
Answer:
(0,-4)(2,0) put that in there and connect them
Step-by-step explanation:
. Find the remainder when x3 - 9x2 + 6x + 2 is divided by x - 1
Answer:
0
Step-by-step explanation:
when f(x) is divided by (x - h) then the remainder is f(h)
f(x) = x³ - 9x² + 6x + 2 with h = 1 , then
f(1) = 1³ - 9(1)² + 6(1) + 2 = 1 - 9 + 6 + 2 = 0
since the remainder is 0 then (x - 1) is a factor of f(x)
how old are you if you were born in the 1600th
Answer:
422 yrs old
Step-by-step explanation:
Answer: Hi the answer to that would be 422 years old.
I'm not that sure tho
Solve 2 – 4<5. Graph the solution.
The solution is
Answer:
x < 9
Step-by-step explanation:
Move the -4 over as if there was an equal sign so that x < 9
Take the arrow that looks like this "<---O" that is not filled in and put it on the number 9.
Let me know if this helps <3
Answer:
x < 9
Step-by-step explanation:
The graphed solution starts with a open circle on the 9 number on the number line. Then there is a line that extends from the open circle all the way to the left.
Solve the problem. 6/y= 9/24
Answer: y = 16 should be your answer.
Answer:
Y=16
Step-by-step explanation:
Division is the method
Which equation
represents a line that passes through (2, -1/2) and has a slope of 3?
Answer:
y = 3x - 6 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
We can use y = m x + c to find the equation of the line.
Here,
m ⇒ slope
c ⇒ y - intercept
They have already given the slope of the line.
m = 3
And now we have to find the y - intercept using the given coordinates.
( 2 , - 1/2 ) ⇒ ( x , y )
Let us find now.
y = m x + c
-1/2 = 3 × 2 + c
-0.5 = 6 + c
-0.5 - 6 = c
-6.5 = c
-6 1/2 = c
Now let us write the equation of the line.
y = m x + c
y = 3x - 6 [tex]\frac{1}{2}[/tex]
A house plan shows a scale of 1:40. If the rectangular lounge room of the house is to measure 4.5 metres by 6.3 metres, What are the dimensions of the room on the plan?
Answer:
.112 m by .157m OR 4.43 by 6.20 in
Step-by-step explanation:
The scale is 1:40, meaning that if the house plan shows 1 of something, the real life version is 40 times larger. Given this information:
4.5 m by 6.3 m is the ACTUAL SIZE.
Given this, we need to divide by 40 to get the room PLAN.
0.1125 by 0.1575 meters, OR 4.42913386 by 6.2007874 inches.
Simplifed,
.112 m by .157m OR 4.43 by 6.20 in
:)
(-1)[p-(-5)(-9)]+(p+q)(-2) if p =-3 and q =7
Answer:
40
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify.
Hope it helps!!!!!Brainliest pls!!!!!Find the value of X
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer:
11[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The given shape is a right triangle, to find the value of x we can use Euclidian Theorem:
x^2 = 14*(14+4)
x^2 = 280 find the root for both sides
x = 11[tex]\sqrt{2}[/tex]
-3x- 1>8 solve and then graph the equation
Answer:
x<-3
Step-by-step explanation:
-3x-1>8
Add +1 on both sides
-3x>9
Divide by -3 on both sides (don't forget to switch the inequality sign when you multipy or divide by a negative)
x<-3
You are considering adding a new food product to your store for resale. You are certain that, in a month, the minimum demand for the product will be 6 units while the maximum demand will be 8 units. The estimated demand for this new product in any given month is 6 units (p=0.1), 7 units(p=0.4), and 8 units(p=0.5). If you choose to purchase 7 units for resale this month, what is the probability of selling all 7 units?
Answer:
Using EMV analysis, the number of units of the new product should be purchased for resale = Purchase 7.
The maximum EMV of profit you can make is 270.
Explanation:
We can use the following method to solve the given problem
Solution:
Using EMV analysis,
EMV (Purchase 6 for resale)= 6(40)(0.1) + 6(40)(0.4) + 6(40)(0.5)=240
EMV (Purchase 7 for resale) = [6(40)-60](0.1) +7(40)(0.4) + 7 (40)(0.5) = 270
EMV (Purchase 8 for resale) = [6(40)-2(60)] (0.1) + [7 (40) - 60] (0.4) + 8(40)(0.5)= 260
Largest EMV= 270; Choose to purchase 7 units for resale.
Step-by-step explanation:
Hopefully this helps :)
70 is 140% of what number?
Answer:
Step-by-step explanation:
simply 70×100÷140, which will give you the answer.
Answer:
50
Step-by-step explanation:
mental math look at my profile if you want to trust me or not
find the angle measure of X, Y and Z
Answer:
y= 76
x=104
z=104
...
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Which values complete the function?
F(x)= (X- ) (x+ )
Answer:
f(x)= -1(x-3)(x+4)
First blank: -1
2nd blank: 3
3rd blank: 4
Step-by-step explanation:
When the parabola is flipped upside down (opened downward) there should be a negative in front. So the first blank is -1. Also, this parabola has not been stretched or smashed, that's why the value is a 1. Again, negative, because its reflected (flipped).
The other two blanks will come from the x-intercepts. The curve crosses the x-axis at 3 and -4.
If x = 3, then
subtracting 3 from both sides
x - 3 = 0
That x-3 is the
x - blank in the problem. Fill in a 3.
If x = -4, then adding 4 to both sides,
x + 4 = 0
Likewise, this x+4 is the
x + blank
in the question. Fill in a 4.
Answer:
-1, 3, 4
Step-by-step explanation:
What is the total length of the beads that are
inch long?
6
Answer:
6 inches
Step-by-step explanation:
IF there are 6 beads in total, that are 1 inch each, 6 x 1 would be 6, therefore its 6 inches
( 7.
) Michelle's salad uses 1 1/2 tomatoes and
serves 3 people. Caley's salad uses
2 tomatoes and serves 5 people. Whose
salad has more tomato per person
WILL GIVE BRAINLIEST!!!!
What is the exact value of x?
6•2^5x=345
Answer:
Step-by-step explanation:
The product of 3 and x is negative 18.
Answer: -6
Step-by-step explanation:
we know that 3x6=18
But, if you make it -6,
It will be -18!
In a circle, a chord is 16 cm in length and 6 em from the center of a circle. Find the length of the
diameter of the circle.
Answer:
Step-by-step explanation:
radius = r
r² = (16/2)² + 6² = 100
r = 10, diameter = 2r = 20 cm
An ant walks 9 3/4 feet in 3/4 minute. The distance in feet the ant walks is directly proportional to the time in minutes the ant walks. What is the constant of proportionality that relates the distance in feet the ant walks to the time in minutes it takes the ant to walk that distance?
Answer:
[tex]7\frac{5}{16}[/tex] ANSWER (C.
Step-by-step explanation:
Multiply [tex]9\frac{3}{4}[/tex] by [tex]\frac{3}{4}[/tex] to get [tex]\frac{117}{16}[/tex]
-
[tex]7\frac{5}{16} = \frac{117}{16}[/tex]
because 7 multiply by 16 plus 5 = 117
So 117 over 16
is the same as [tex]7\frac{5}{16}[/tex] .
what is the output of y=1/3x-4 if the input is 18
Answer:
2
Step-by-step explanation:
Input is X, which is 18
Y = ⅓(18) - 4
= 6 - 4
= 2
Please I need help on this and I will give brainliest!!!!!!!!!
Answer:
Step-by-step explanation:
I went onto desmos to see if any were parallel or perpendicular and I don't think that any of them are, so your answer is correct.
a washer and dryer cost a total of 993. the cost of the washer is two times the cost of the dryer. find the cost of each item
Let the price of the dryer = X
The washer is 2 times that so you would have 2x
Now you have X + 2x = 993
Simplify:
3x = 993
Divide both sides by 3:
x = 331
The dryer cost 331
The washer cost 2 x 331 = 662
A house is 19 ft tall. Its shadow is 40 ft long at the same time the shadow of a nearby building is 300 ft long. Find the height of the building
ANswer: 161.5ft???.....
8. A Chinese Pie Stand offers a delicious triangular shaped, chewy, green onion pie. You can also order the pie with any or all of 4 luxurious toppings: heavenly beef, earthly chicken, salty ocean fish, and spicy insanity crazy chili. How many ways can a pie be ordered?
What is the solution of the equation?
3 5√ (x + 2) 3 + 3 = 27
explanation would be appreciated.
Answer:
x = (274/25)
Step-by-step explanation:
STEP 1:Isolate the square root on the left hand side
STEP 2:Eliminate the radical on the left hand side
STEP 3:Solve the linear equation
STEP 4:Check that the solution is correct
Original equation, root isolated, after tidy up 5√x+2 = 18 Plug in (274/25) for x 5√(274/25)+2 = 18 Simplify 5√12.96 = 18 Solution checks !! Solution is: x = (274/25)
Answer:
that is if 35 at the beginning
x= -[tex]\frac{2386}{1225}[/tex]
and if it is 5
x=[tex]\frac{14}{25}[/tex]