Answer:
See explanation
Step-by-step explanation:
y = k * (3x - 5)
Where,
k = constant of proportionality
y = 33 when x = 5
y = k * (3x - 5)
33 = k * (3 * 5 - 5)
33 = k * (15 - 5)
33 = 15k - 5k
33 = 10k
k = 33/10
k = 3.3
a) y when x = 2
y = k * (3x - 5)
y = 3.3(3 * 2 - 5)
= 3.3(6 - 5)
= 3.3(1)
y = 3.3
b) x when y = 15
y = k * (3x - 5)
15 = 3.3(3x - 5)
15 = 9.9x - 16.5
15 + 16.5 = 9.9x
31.5 = 9.9x
x = 31.5/9.9
x = 3.18
The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information? *
A the average teacher to student ratio
B the average grade of a 5th grader
C the average number of students in all grades
D the average number of students in all 5th grade classes
Answer:
D
Step-by-step explanation:
Answer:
D would be the answer:) hope this helps
if 21 and 35 are two members of a pythagorean triple, what is the third member?
Answer:
28
Step-by-step explanation:
21^2+28^2=35^2
The third number of the Pythagorean triplet as c = 40.82.
What is Pythagorean triplet? What is a mathematical function, equation and expression? Pythagorean triplet : A Pythagorean triplet consists of three positive integers a, b, and c, such that a² + b² = c².function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that 21 and 35 are two members of a Pythagorean triplet.
We can write the Pythagorean triplet as -
a² + b² = c²
c² = a² + b²
c² = (21 x 21) + (35 x 35)
c² = 441 + 1225
c² = 1666
c = √1666
c = 40.82
Therefore, the third number of the Pythagorean triplet as c = 40.82.
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According to the graph, how many students received an 90 for their first semester grade?
A: 0
B: 2
C: 6
D: 15
Solve this system of equations using the Substitution Method. Don't forget to write your final answer as a coordinate point. You must show all your work.
3x + y = -2
y = 2x + 3
Step-by-step explanation:
substitute the value of y
3x+2x+3=-2 (collect like term)
5x=-2-3 (calculate the difference)
5x=-5 (both side over 5)
x=-1
i hop it helps you❤
Help me out please number 10 and if you can answer 13 please
Need help ASAP! Directions in picture;)
Answer:
x+43⁰+52⁰=180⁰ [being triangle]
x⁰+95⁰=180⁰
x⁰=180⁰-95⁰
x⁰=85⁰
Solve for x plsss I need the answer ASAP plsss
Answer:
106 degrees
Step-by-step explanation:
180 degrees in a triangle divided by three
60 minus 23 equals 37
37 times 2 is 74
180 minus 74 equals 106
Hope it's right :)
make x the subject of the following formula:
ax - ay = cx + by
please help
x = by + ay / a - c
Step-by-step explanation:
Given that
ax - ay = cx + by
Collect like terms
ax - cx = by + ay
Factorize both sides
ax - cx = by + ay
x(a - c) = by + ay
Divide both sides by (a - c)
x(a - c) = by + ay
x = by + ay / a - c
Making x the subject of the formula would be
x = by + ay / a - c
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Write in point-slope form an equation of the line that passes through the point (1,9) with a slope of -2
Y-_=_(x-_)
Answer:
y - 9 = - 2(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = - 2 and (a, b ) = (1, 9 ) , then
y - 9 = - 2(x - 1) ← is the equation of the line
Would you rather have your boss pay you 10,000 a day for 3 full weeks
Answer:
yes I would............
Alan draws the two triangles below.
Alan claims that the two triangles are similar. Which of the following methods could he use to prove his claim? Select TWO that apply.
A
show that all pairs of corresponding sides are congruent
B
show that the triangles are congruent, as all congruent triangles are similar
C
show that a sequence of rigid motions and dilations carries one triangle onto the other triangle
D
show that all pairs of corresponding angles are congruent and all corresponding sides are
Answer:
A & D
Step-by-step explanation:
Both use SSS to prove triangles congruent.
Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.
"If and only if the following two conditions are met, two triangles are congruent.
Three corresponding sides have the same value.
The measurements of the three related angles are all equal."
given instance,
Think about the triangles PQR and ABC.
If A = P, B = Q, and C = R
AB = PQ, BC = QR, and AC = PR as well.
If ABC and PQR are congruent triangles, then ABC PQR is the way to write it.
As a result, the following are true statements concerning congruent triangles:
The length of each of the three pairs of corresponding sides is the same.
The three pairs of comparable angles in each case are all of the same size.
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This expression is scientific notation for what number?
8. 10-6
Answer:
20-45 answer should be d good luck sorrybif im wrong
help pl pls pls pls pls
Answer:
they are both a function
Step-by-step explanation:
because i did this back in 8th grade
Rotate the following triangle 90 degrees.
A(4, -3) B(-12, 8) C(6, -4)
Answer:
given vertices of triangle ABC
A(4, -3) B(-12, 8) C(6, -4)
Rotating through 90°
P (x , y) -----> P' (y , -x)
A(4, -3) ------> A' ( -3 , -4 )
B(-12, 8) -----> B' (8 , 12 )
C(6, -4) ------> C' (-4 , -6)
A gym has yoga classes. Each class has 13 students. If there are c classes, write an equation to represent the total number of students s taking yoga.
What is the slope of a line that is parallel
and perpendicular to each line?
Answer:
m1.m2 = -1
Step-by-step explanation:
In the case of the parallel line, the slope of the two lines is parallel to each other.
if you multiply the number by to end at 4 the results you gave will be the same of three times the number decreased by 7
Answer:
11
Step-by-step explanation:
Let the number be x,
2x+4 = 3x-7
Collect like terms
2x-3x= -4-7
-x =. -11
Multiply both sides by -1
x. =. 11
Oh and I think you made a typo and missed the 2, " if you multiply the number by 2 to end at 4..........."
Hope This Helps :)
write an equation in slope intercept form of the line that passes through the points (-3,6) and (0,0)
Answer:
y=-2x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(0-6)/(0-(-3))
m=-6/(0+3)
m=-6/3
m=-2
y-y1=m(x-x1)
y-6=-2(x-(-3))
y-6=-2(x+3)
y=-2x-6+6
y=-2x
Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.
what is 0.1 is 1/10 of what number???
Answer: 0.1 is 1/10 of 1.
Step-by-step explanation:
A triangle has a perimeter of 29 inches. Two of the other sides measure 9 inches and 9 inches. What is the length of the third side?
Answer:
Step-by-step explanation:
The perimeter = side1 + side2 + side3
P = 29
side1 = 9
side2 = 9
29 = 9 + 9 + side3
29 = 18 + side3 Subtract 18 from both sides
11 = side 3
Answer:
hb≈7.12in
a Side
9
in
c Side
9
in
P Perimeter
29
in
γ
c
a
h
b
b
h
b
h
b
c
γ
a
b
a
c
b
γ
P
c
γ
a
b
A
Using the formulas
A=hbb
2
A=s(s﹣a)(s﹣b)(s﹣c)
P=a+b+c
s=a+b+c
2
Solving forhb
hb=﹣﹣P4+4P3a+4P3c﹣4(Pa)2﹣12P2ac﹣4(Pc)2+8Pa2c+8Pac2
2a﹣2P+2c=﹣﹣294+4·293·9+4·293·9﹣4·(29·9)2﹣12·292·9·9﹣4·(29·9)2+8·29·92·9+8·29·9·92
2·9﹣2·29+2·9≈7.1239in
Step-by-step explanation:
there are 1200 students in a school. if 2/5 are girl what is the number and percentage of boys? find it
Step-by-step explanation:
Hope it will help you...
What -3/4 equals 2/3
Answer:
17/12= 1 5/12
Step-by-step explanation:
make the denominator the same as 12
_______ -9/12 =8/12
so add 8+9 to get 17.then keep the denominator as 12. last simpfie it to 1 5/12
Alex feeds his cat ⅗ of a can of cat food a day how many cans of cat food should Alex buy each week
Answer:
5
Step-by-step explanation:
3/5 times 7 is 4 1/5 and you cant buy 1/5 of a can so you have to round up to 5
Describe a real life multipication situation for which an estimate makes sense explain why it makes sense. NEEDS TO BE ANSWERED RIGHT NOW
Answer:
I have 20 weddings which need 3 cakes each. How many cakes do I need to get?
20 x 3 = 60 cakes
Commercial agents earn 5% of the cost of each product they sell. If an agent earns
S2000 for selling a product, what was the cost of the product?
Based on the information the cost of the product is $40,000.
Given:
Percentage earn=5% or 0.05
Amount earned=$2,000
Let x represent the cost of the product
Hence:
Formulate
.05x = $2000
Divide both sides by .05
x=$2,000/.05
x=$40,000
Inconclusion the cost of the product is $40,000.
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In which quadrant does the graph of the sum of
(-3 – 5i) and (2 + 4i) lie?
Answer:
Third quadrant
Step-by-step explanation:
The complex and real parts can be added separately:
(-3 - 5i) + (2 + 4i) = -1 -i
This shows that the sum would be in the third quadrant of the complex plane as there is negative real and negative imaginary parts.
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Please answer these
2. A=49 Pi, C=14 Pi 3. A=225 pi, C=30 pi
4. A=104.04, C=20.4 pi 5. A=20.25 pi, C=9 Pi
Answer:
Step-by-step explanation:
The value of p (p^2 + p +1) if p =-1
Answer:
The answer is 1
Step-by-step explanation:
p² + p + 1; p = -1
Now, Put p = - 1
p² + p + 1
(-1)² + (-1) + 1
1 - 1 + 1 = 1
Thus, The answer is 1
-TheUnknownScientist 72
Hey there!
p(p^2 + p + 1)
= -1(-1^2 + (-1) + 1)
= -1(-1^2 - 2 + 1)
= -1(-1^2) - 1(-2) - 1(1)
= 1 + 2 - 1
= 3 - 1
= 2
Therefore, your answer should be: 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
If f(x) = x2 - 1 and g(x) = 2x - 3, what is the domain of (fog)(x)?
Answer:
domain will be ( -∞, ∞)
Step-by-step explanation:
The given functions are f(x) = x² - 1 and g(x) = 2x - 3
We have to find domain of (fog)(x)
We will find the function (fg)(x) first.
(fog)(x) = f[g(x)]
= (2x - 3)²
= 4x² + 9 - 12x - 1
= 4x² - 12x + 8
= 4 (x² - 3x + 2)
The given function is defined for all values of x.
Therefore, domain will be ( -∞, ∞)
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A national survey of middle schoolers ask,”how many hours a day they spend doing their homework?which statement best represents the population?
Answer:
5 hours at least, 10 at most
Step-by-step explanation:
