Hi! i need some help with this question, you don't need to help with the 2 parts, just any 1. Thank you!!

y varies is directly as 3x – 4, and y = 33 when x = 5
Find:
a) y when x = 2
b) x when y = 15​

Answers

Answer 1

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


Related Questions

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

Answers

Answer:

D

Step-by-step explanation:

Answer:

D would be the answer:) hope this helps

Would you rather have your boss pay you 10,000 a day for 3 full weeks

Answers

Answer:

yes I would............

If f(x) = x2 - 1 and g(x) = 2x - 3, what is the domain of (fog)(x)?

Answers

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 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.

Answers

If there are 13 students per class and c amount of classes then 13 times c is equal to the total amount of students. We also know s represents the total number of students.

Therefore algebraically speaking we can say:

13c=s

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

Answers

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❤

Need help ASAP! Directions in picture;)

Answers

Answer:

x+43⁰+52⁰=180⁰ [being triangle]

x⁰+95⁰=180⁰

x⁰=180⁰-95⁰

x⁰=85⁰

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

Answers

Answer:

A & D

Step-by-step explanation:

Both use SSS to prove triangles congruent.

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.

What is Congruent triangle?

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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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?

Answers

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:

According to the graph, how many students received an 90 for their first semester grade?

A: 0
B: 2
C: 6
D: 15

Answers

6 your welcome dbebebbe

Alex feeds his cat ⅗ of a can of cat food a day how many cans of cat food should Alex buy each week

Answers

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

What is the slope of a line that is parallel
and perpendicular to each line?

Answers

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.

In which quadrant does the graph of the sum of
(-3 – 5i) and (2 + 4i) lie?

Answers

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.

Rotate the following triangle 90 degrees.
A(4, -3) B(-12, 8) C(6, -4)

Answers

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)

What -3/4 equals 2/3

Answers

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

Solve for x plsss I need the answer ASAP plsss

Answers

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​

Answers

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-_)

Answers

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

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?

Answers

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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A national survey of middle schoolers ask,”how many hours a day they spend doing their homework?which statement best represents the population?

Answers

Answer:

5 hours at least, 10 at most

Step-by-step explanation:

Help me out please number 10 and if you can answer 13 please

Answers

10. 25/100 and 25%
25 divided by 25 /100 divided by 25 = 1/4

Describe a real life multipication situation for which an estimate makes sense explain why it makes sense. NEEDS TO BE ANSWERED RIGHT NOW

Answers

Answer:

I have 20 weddings which need 3 cakes each. How many cakes do I need to get?

20 x 3 = 60 cakes

write an equation in slope intercept form of the line that passes through the points (-3,6) and (0,0)

Answers

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.

The value of p (p^2 + p +1) if p =-1

Answers

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 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 ​

Answers

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 :)

BRAINLIEST
Please answer these

Answers

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:

what is 0.1 is 1/10 of what number???

Answers

Answer: 0.1 is 1/10 of 1.

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​

Answers

if 2/5 are girls, then 3/5, or 60%, are boys.

to find the number, multiply 1200 by 60%, or 0.60, and you get 720 boys.

final answer: 720 boys, 60%

Step-by-step explanation:

Hope it will help you...


This expression is scientific notation for what number?
8. 10-6

Answers

Answer:

20-45 answer should be d good luck sorrybif im wrong

if 21 and 35 are two members of a pythagorean triple, what is the third member?

Answers

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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help pl pls pls pls pls

Answers

Answer:

they are both a function

Step-by-step explanation:

because i did this back in 8th grade

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