Answer:
98
Step-by-step explanation:
An average score can be calculated by finding the sum of all scores and then dividing by the number of tests. So we can create an equation like this:
[tex]\frac{(92+86+83+90+91+x)}{6}=90[/tex]
The numerator is the sum of her scores, where x represents the score of her next test (which is what we're trying to find).
The denominator is the total number of tests, which is 6 - this includes the 5 she has taken already and the next test that she hasn't taken yet.
Furthermore, we know all of this has to equal 90 because that's the average we're looking for.
Now we just solve for x.
Step 1) Multiply by 6:
[tex]92+86+83+90+91+x=90 \times 6[/tex]
Step 2) Simplify equation:
[tex]442+x=540[/tex]
Step 3) Subtract 442:
[tex]x=540-442=98[/tex]
Therefore, x = 98, so Danielle must achieve a score of 98 to have an overall class average of 90.
Given JKL: XYZ, find x.
Answer:
is there a pic to go along? i need more to this..
In ΔQRS, the measure of ∠S=90°, SR = 12, RQ = 37, and QS = 35. What ratio represents the cotangent of ∠Q?
Answer:
35/12
tan Q = 12/35
so cotan Q = 35/12
If U = {x: X € N, 1 < × < 15)
A= {x:x is multiple of 2}
B = {x: x is multiple of 3
C = {x: x is multiple of 5)
verify the following
(a) A(BnB)=(AUB)(AUB)
(b) An(BUC)=(AnB)u(Ang)
(c) AU(BUC)=(AUB)U(AUC)
Answer:
Step-by-step explanation:
Given:
U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
A = {2,4,6,8,10,12,14}
B = {3,6,9,12,15}
C = {5,10,15}
(a) Verify A(BnB)=(AUB)(AUB)
A U (B n B)
= {2,4,6,8,10,12,14} U ( {3,6,9,12,15} n {3,6,9,12,15} )
= {2,4,6,8,10,12,14} U {3,6,9,12,15}
= {2,3,4,6,8,9,10,12,14,15}
( A U B) n (A U B)
= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}
= {2,3,4,6,8,9,10,12,14,15}
Therefore
A U (B n B) = ( A U B) n (A U B)
verifies
(b) Verify An(BUC)=(AnB)u(AnC)
A n ( B U C)
= {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )
= {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}
= {6,10,12}
( A n B ) U ( A n C )
= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )
= {6,12} U {10}
= {6,10,12}
Therefore
A n ( B U C) = ( A n B ) U ( A n C )
verifies
(c) Verify AU(BUC)=(AUB)U(AUC)
AU(BUC)
= {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}
= {2,3,4,5,6,8,9,10,12,14,15}
(AUB)U(AUC)
= ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})
= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}
= {2,3,4,5,6,8,9,10,12,14,15}
Therefore
AU(BUC)=(AUB)U(AUC)
verifies
which pair is a pair of vertical angles?
Answer:
Angles that are directly across from each other
Step-by-step explanation:
Vertical angles are angles that are directly across from each other, forming an x. They always have the same degree
Pls help me with this equation
Answer:
x = 20
Step-by-step explanation:
Given BD = CD then Δ BCD is isosceles and the 2 base angles are congruent
∠ CBD = ∠ BCD = 40° , then
∠ BDC = 180° - (40 + 40)° = 180° - 80° = 100° ← sum of angles in triangle
Sum the 3 angles of Δ ACD and equate to 180
20 + 100 + x + 40 = 180
160 + x = 180 ( subtract 160 from both sides )
x = 20
SOMEBODY PLEASE HELP
Answer:
x=40
Step-by-step explanation:
1/5x=8
x=8*5=40
x=40
-6x + 7y = 9
2x - 2y = 4
Solve for x and y
Answer:
x = 23 , y = 21
Step-by-step explanation:
-6x + 7y = 9 -- (1)
2x - 2y = 4 -- (2)
(2) x 3 : 6x - 6y = 12 -- (2)'
(1) + (2)' : y = 21 -- (3)
Subtituting (3) into (2),
2x - 42 = 4
2x = 46
x = 23 -- (4)
According (3) and (4),
x = 23 , y = 21
If this helps you, please give brainliest!
Need help on this question asap please sorry
Answer:
D
Step-by-step explanation:
In picture
Brainliest please ~
Answer:
The answer is most likely the last option.
Step-by-step explanation:
While the 2 triangles have different orientations, the two triangles are similar to one another. From my perspective, the scale would most likely be:
[tex] \frac{ab}{de} = \frac{bc}{ef} = \frac{ca}{fd} [/tex]
Note that the fractions can be flipped the other way around too.
[tex] \frac{de}{ab} = \frac{ef}{bc} = \frac{fd}{ca} [/tex]
Now, I can add in the values into the equation
This will give the answer
[tex] \frac{15}{22.5} = \frac{18.75}{bc} = \frac{fd}{ca} [/tex]
We are only looking at the first 2 fractions which were given, and the final option is the answer.
Area of circle =
A) 36 pie square units
B) 6 pie square units
C) 12 pie square units
Answer:
36 pi
Step-by-step explanation:
The radius is 6
A = pi r^2
A = pi 36
Answer:
Area of circle = 36 π square unit
Step-by-step explanation:
To calculate area of circle simplify formula area of circle . we have given radius of circle which is 6.
Area of circle = π × r²
where,
r is the radius of circlesubstitute the value
Area of circle = π × ( 6 ) ²
expand the exponent
Area of circle = π × 36
multiply
Area of circle = 36 π square unit
What is the answer to this question?
Answer:
32
Step-by-step explanation:
[tex]g(13) = 16 \\ f(16) = 32[/tex]
one fifth of the sum of four and m
Answer:
[tex]\frac{1}{5\/}[/tex](4+m)
Step-by-step explanation:
[tex]\frac{1}{5\/}[/tex](4+m)
Hope this helps!
What is the solution of the following quadratic function?
the sum of the 13th square number and the 4th cube number?
Answer:
13th square number+4th cube number=233
Step-by-step explanation:
[tex]13^{2} +4^{3}[/tex]=233
The value of the sum of the 13th square number and the 4th cube number will be 223.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
The sum of the 13th square number and the 4th cube number. Then the numerical expression is given as,
⇒ (13)² + (4)²
Simplify the numerical expression, then we have
⇒ (13)² + (4)³
⇒ 169 + 64
⇒ 223
The value of the sum of the 13th square number and the 4th cube number will be 223.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
is this linear, exponential, or quadratic?
I need help fast please!!!!
Answer:
f translates right 2 units to get g. sorry about my English
if y is inversely proportional to 2x + 1 and the difference in the values of y when x= 0.5 and x= 2 is 0.9, find the value of y when x = -0.25
Answer:
6
Step-by-step explanation:
answer is in photo above
3
If f(x) =
x
-VX-3, complete the following statement:
X + 2
than or equal to
The domain for f(x) is all real numbers.
3.
Answer here
SUBMIT
Answer:
Greater
Step-by-step explanation:
Because x-3 must be greater or equal zero and x must be not equal -2
What's the Area of the Rectangle, Triangle and the entire shape?
Answer:
Rectangle = 48 un²
Triangle = 12 un²
Total = 60 un²
Step-by-step explanation:
Area rectangle = 8 x 6 = 48 un²
Area triangle = 1/2 ( 6 x 4) = 1/2 ( 24 ) = 12 un²
Total = 48 un² + 12 un² = 60 un²
To check the total area, find the area of the trapezoid:
1/2 ( 8 + 12) * 6 =
(20 * 6)/2 =
120 / 2 = 60
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The perimeter of a rectangle with width, x cm and length, y cm is 82cm. If the length of a rectangle is 15 cm longer than its width, calculate the length and the width of the rectangle.
Answer:
Here, let width of the rectangle be x cm then length becomes xcm+5cm(length of the rectangle is 5cm longer than width)
Now, we know
Perimeter(p)=2(length+width)
40= 2(x+5+x)
40=2(2x+ 5)
40/2=2x+5
20=2x+5
20–5=2x
15/2=x
x=7.5
Now,
length=x+5=7.5+5=12.5cm
width=x=7.5cm
Therefore length is 12.5cm and width is 7.5cm.
determine the equation of the circle graphed below .
( help pleasee )
Answer:
move the circle around that's how you co-ordinate
Step-by-step explanation:
Mrs. Malik ( my maths teacher ) helped me
Answer:
(x + 3)^2 + (y + 5)^2 = 4^2
Step-by-step explanation:
equation of a circle: (x - h)^2 + (y - k)^2 = r^2
(h,k) is the center and r is the radius
the center of this circle is (-3, -5) and the radius is 4
plug the numbers in
(x + 3)^2 + (y + 5)^2 = 4^2
hope this is good, havent done this unit in a while
Please help fast it’s subtraction
Answer:
17
220
Result in decimals: 0.077272727272727
Step-by-step explanation:
Answer:
[tex]7\frac{17}{220}[/tex]
Step-by-step explanation:
[tex]9\frac{8}{11} -2\frac{13}{20}=\\[/tex]
[tex]9\frac{160}{220} -2\frac{143}{220}=[/tex]
[tex]=7\frac{17}{220}[/tex]
Hope this helps
please help ? i do not understand this question--
Answer:
hey, i think it's the first alternative
Step-by-step explanation:
PLEASE HELP, I AM MARKING BRAINLEST, dont forget to show work please :)
Value of g(-2) = -8
hope it helps you.....
Answer:
-12
Step-by-step explanation:
-4(-2)^2 -3(-2) -2
-4(4) +6 -2
-16 +6 -2
-12
Somebody asked a teacher how many students do you have? I would like to send my son to your school The teacher asnwered if as many students as i have now join my school and half as many as i have join it and quarter as many and your boy comes to study with me as well i will have excactly 100 students
Answer:
So whats the question?
Which best describes the relationship between the line that passes through the points (-9, -7) and (-12, -2) and the line
that passes through the points (1,9) and (6, 6)?
A. same line
B. perpendicular
C. parallel
D. neither perpendicular nor parallel
Answer:
D
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - (-7) / -12 - (-9)
5/-3
= -5/3
y2 - y1 / x2 - x1
6 - 9 / 6 - 1
= -3/5
If a tree cast a 3.5 foot shadow at the same time is 6 foot tall women cast a shadow measuring 13.8 feet what would be the height of the tree
Answer:
1.522 ft tall
Step-by-step explanation:
divide 13.8 by 6ft and you would get 2.3
the height of the object multiplied by 2.3 would get you the shadow so, to get the original height from the shadow, just divide by 2.3.
Of the songs in Jessica's music library, 7/8 are rock songs. Of the rock songs, 5/8 feature a guitar solo. What fraction of the songs in Jessica's music library are rock songs that feature a guitar solo?
*no scamming links are allowed or else I’ll have to report you* .
Answer:
ok so we know 7/8 of them are rock songs and of those songs 5/8 are solos so if we multiple this we get 35/64
I need help it says which of the following function is graphed below
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The right part of the function is a line and its equation must be linear (the exponent of the x must be 1)
The lines start at x = 1. We can say that because there is a black dot
the x of the second function keep decreasing
Thanks to these informations we can say that the answer is D
Find mZHFG if mZEFG = 2x + 52, mZEFH = 21°, and mZHFG = 1 + 31
Answer:
m<HFG = 31
Step-by-step explanation:
We can say that m<EFH + m<HFG = m<EFG because of angle addition postulate. Now, we can substitute the values of the angles in.
21 + x + 31 = 2x + 52
x + 52 = 2x + 52
x = 0
Now, we substitute x into the expression of m<HFG:
m<HFG = x + 31
m<HFG = 0 + 31
m<HFG = 31
Find the x...............
Answer:
Step-by-step explanation:
Remark
You are going to use the Pythagorean Theorem. The trick is to find the length of the leg making up the base of the triangle.
That base is equal to the difference between the two bases.
Solution
The base of the triangle = 2x + 1 - (x + 3) Remove the brackets.
base = 2x + 1 - x - 3
base = x - 2
Now the height of the trapezoid is also the second leg of the triangle. Apply the Pythagorean Theorem.
c^2 = a^2 + b^2
a = x - 2
b = x + 4
c = 2x
4x^2 = (x - 2)^2 + (x + 4)^2 Expand the brackets
4x^2 = x^2 - 4x + 4 + x^2 + 8x + 16 Collect like terms
4x^2 = 2x^2 + 4x + 20 Subtract the right side from the left.
4x^2 - 2x^2 - 4x - 20 = 0
2x^2 - 4x - 20 = 0 Divide by 2
2x^2/2 - 4x/2 - 20/2 = 0
x^2 - 2x - 10 = 0
x = - b +/- sqrt(b^2 - 4*a*c)/ 2a
a = 1
b = - 2
c = - 10
x = (- -2 + / - sqrt((-2)^2 - 4*(1)*(-10) ) / 2
x = (2 + / - sqrt(4 + 40 ))/2 Only the plus root has any meaning.
x = ( 2 + sqrt(44 ) )/2
x = ( 2 + 2*sqrt(11) ) / 2
x = 1 + sqrt(11)
sqrt(11) = 3.3166
x = 1 + 3.3166
x = 4.3166