Determine whether y varies directly with x. If so, find the constant of variation k. –6y = –5x

Answer:

$152

Step-by-step explanation:

To find Yoko's hourly pay, we will divide the $323 she made after working by 17, which is the number of hours she worked:

323 ÷ 17 = 19

We now know that Yoko makes $19 an hour (dang, she's probably a doctor or something) however, we're not done yet.

We will multiply $19 by 8 hours of work to see how much she'll make after 8 hours:

19 × 8 = 152

Yoko makes $152 after 8 hours of work.

Please rate 5 stars and/or say thanks if I helped!

~Roi

Answer:

y=6 is the answer

Step-by-step explanation:

4y=39-15

4y=24

y=6

Answer:  x=5

Step-by-step explanation:

18+0.85x=22.25

subtarct 18

0.85x=4.25

divide by 0.85

x=5

Answer:

  11.78 in³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3(πr²h)

The cone's radius is half its diameter, so is 1.5 inches. The volume is ...

  V = 1/3π(1.5 in)²(5 in) = 3.75π in³ ≈ 11.78 in³

The cone can hold about 11.78 cubic inches of liquid.

_____

Additional comment

That's about 6.5 fluid ounces.

See below...

(1/8)x = 11

Muliply 8 on both sides...

x = 88

Step-by-step explanation:

f(x) = 5x - 20

f(-1) = 5(-1) - 20 = - 5 - 20

= - 25

g(x) = x² + 5x - 11

g(2) = 2² + 5(2) - 11 = 4 + 10 - 11

= 3

Thus, f(-1) + g(2) = - 25 + 3 = - 22

Answer:

Step-by-step explanation:

Substituting x as -1 in f(x), f(-1)

F(-1)=5(-1)-20

F(-1)=-5-20

F(-1)=-25

Substituting x as2 into g(x), g(2)

G(x) =2^2+5(2)-11

G(x)=4+10-11

G(x)=3

F(-1)+g(2)=-25+3

=-22

The amount by Cesar’s minimum monthly payment increase will be $91.44.

Cesar only has 12 months left before he pays off his credit card completely.

His current balance = $3,750

                       APR = 17.5%

Now we use the formula :

[tex]\rm Present \ value \ of \ anuity= P=( 1-\frac{1+r}{r} })^{-n}[/tex]

PV = Present Value

P   = Periodic payment

r    = rate per period

n   = number of period

Now for the first case:

PV of annuity = $3,750

P =?

r = 17.5% annually = % monthly  monthly

n = 12 months

Now we put the values in the formula

[tex]3750=P(1-\dfrac{(1+\dfrac{17.5}{1200})^{-12}}{\dfrac{17.5}{1200} } )[/tex]

[tex]P=\dfrac{3750}{\dfrac{1-0.8405}{0.01458} }[/tex]

[tex]P=342.91[/tex]

Now for the second Case :

PV of annuity = 3750 + 1000 = 4750

P =?

r = 17.5% annually = % monthly =  monthly

n = 12 months

Putting the values in the formula

[tex]4750=P(1-\dfrac{(1+\dfrac{17.5}{1200})^{-12}}{\dfrac{17.5}{1200} } )[/tex]

[tex]P=\dfrac{4750}{1-\dfrac{1+\frac{17.5}{1200} }{\frac{17.5}{1200} } }[/tex]

[tex]P=\dfrac{4750}{\dfrac{0.1595}{0.01458} } =434.35[/tex]

Cesar's increased monthly payment will be

434.35 - 342.91 = 91.44

Hence, the amount by Cesar’s minimum monthly payment increase will be $91.44.

To know more about credit card bills follow

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Answer:

1/2 (14) ( 3x - 4 ) > 56

14/2 (3x-4) > 56

7 (3x-4) > 56

21x - 28 > 56

21x > 56+28

21x > 84

x < 4

Answer:

Step-by-step explanation:

The area of the triangle is

Given

Then

If A > 56, then solving inequation:

Answer:

make me brainlaiest.....

Answer:

The value of x = 5

The value of z = 107

Step-by-step explanation:

=> (6x+43)° +107° = 180° { linear pair }

=> 6x+43 +107 = 180

=> 6x + 150 = 180

=> 6x = 180-150

=> x = 30/6

=> x = 5

Now solve for z ,

107 = z { Vertically opposite angle }

Answer: $‭1,666.55‬

Step-by-step explanation:

The amount of money that Scott will have in the bank will be the total of the money that was in the bank at the beginning of August plus any money received, less any money that was disbursed.

= Beginning balance + check from friend - check to local car shop - cash spent on groceries

= 1,910.30 + 41.50 - 75.00 - 210.25

= $‭1,666.55‬

Figure is assuming groceries were paid for by cash from bank account.

perimeter=2(85)+π(12.5)=220+2×12.5π

=170+25×3.14

=170+78.5

=248.5

distance ran=3×248.5=745.5 yards.

i hope this work for you

Answer:

x to the power of 3 or x^3

Answer:

12,2,3

Step-by-step explanation:

Answer:

12,2,3 because 10×12=120 and 3×2=6

Answer:

300<d<700

Step-by-step explanation:

Answer:

300 < d < 700

Step-by-step explanation:

we know thatin the triangle ABCAB=500 milesBC=200 milesAC=xApplying the Triangle Inequality Theorem1) 500+200 > x------> 700 > x------> x < 700 miles2) 200+x > 500----> x > 500-200------> x > 300 milesthe solution for x is 300 < x < 700

Answer

A plane intersects only one nappe of a double-napped cone, and the plane is not parallel to the generating line of the cone.

Step-by-step explanation:

Parabola is a symmetrical open plane bend framed by the crossing point of a cone with a plane parallel to its side. The way of a shot affected by gravity in a perfect world takes after a bend of this shape.

Answer:

3 to 1

Step-by-step explanation:

It is divided by 3.

Answer:

[tex]\frac{\sqrt{2} }{2\\}[/tex]

Step-by-step explanation:

A triangle has a total of 180° (B is a 90° angle)

Take 180° - 90° to find the angle of A + C which equals 90°

take 90°/2 to get the angle of C which is 45°

and to check that take 45°+45°+90°= 180°

Now...

cos (C)

cos(45°) = [tex]\frac{\sqrt{2} }{2}[/tex] [Answer]

Please rate!!

Answer:

500g

Step-by-step explanation:

since she brought 2 kg of sweets, and distributed to her classmates, that means we wil sustract 2 from 1,5 and that will be 0.5 or 500g

I hope I helped you! :)))

Answer:

500g

Step-by-step explanation:

She initially had 2 kg and gave away 1 kg 500 to her classmates

1000 g = 1 kg

500 g   = ?

500 g = half a kilogram

So, 1kg 500g is 1.5 kg

So, to get how much sweets were left with her, we subtract 1.5 kg from 2 kg.

2 - 1.5 = 0.5 kg

So, she was left with 0.5 kg or 500g of sweets

Answer: x=35

Step-by-step explanation: hi! i’m happy to help. subtract the three from both sides, multiply the entire problem by 5 to even out the x, and there’s your answer :)

Answer:

22- b

23- d

24- b

Step-by-step explanation:

22- perimeter =2(length + width)=2(40+20)=120

23- width =100m

length = 3×width =3×100=300

perimeter =2(300 +100)= 800

24= hanz perimeter = 40m

Arthur's perimeter =42m

hence Arthur needs more fence

Answer:

The constant of proportionality is 4.5

Step-by-step explanation:

To demonstrate the constant of proportionality, we typically use variable k. The equation can look like y/x=k or y=kx
y/x=k
9/2= 4.5

The constant of proportionality is 4.5.

To check the work, we can use the other equation, y=kx.

y=kx

y=4.5(2)

y= 9

Answer:

-7 & 1

Step-by-step explanation:

[tex] - 7 \times 1 = -7 \\ \\ - 7 + 1 = - 6[/tex]

Hope it helps you in your learning process.

Answer:

y=2/3x-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

(y^3+7)

The correct expression is 5[tex]z^{4}[/tex] + 29 + 8[tex]y^{3}[/tex]

distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.

according to the question

Apply multiplicative distribution law

5[tex]z^{4}[/tex] - 3 + 8[tex]y^{3}[/tex] + 32

Combine like terms

5[tex]z^{4}[/tex] + 29 + 8[tex]y^{3}[/tex]

Hence, the correct expression is 5[tex]z^{4}[/tex] + 29 + 8[tex]y^{3}[/tex]

To learn more about multiplicative distribution law from here

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Answer:

Please see below :)

Step-by-step explanation:

I'll give the letters and match it with the numbers:

a - 3

b - 2

c - 4

d - 1

e - 2

f - 4

g - 1

h - 3

Please let me know if any of these are incorrect!

Answer:

44.4°

Step-by-step explanation:

Two complementary angles add up to 90°. Let's call one of the two x, and the second 90-x (in fact, [tex]x+(90-x) = 90[/tex]).

At this point we can use the second condition: the first angle, plus 1.2°, is equal to the complementary.

[tex]x+1.2=90-x \rightarrow 2x=88.8 \rightarrow x = 44.4[/tex]

Answer:

675

Step-by-step explanation:

Answer:

675

Step-by-step explanation: