Solving a word problem on proportions using a unit rate
Lucy made $95 for 5 hours of work.
At the same rate, how much would she make for 13 hours of work?
sl
X Х
5
?

Step-by-step explanation:

a) The volume of the prism is

[tex]V = (n^2 - 1)×(n^2 - 1)×(5n)[/tex]

[tex]\:\:\:\:= (n^4 - 2n^2 + 1)(5n)[/tex]

[tex]\:\:\:\:=5n^5 - 10n^3 + 5n[/tex]

b) If the dimensions L of the prism are tripled, the new volume will be

[tex]V' = (3L)^3 = 27L^3 = 27V[/tex]

so it will increase by a factor of 27.

Answer:

3x=63

Step-by-step explanation:

3 coins means a coin is x and total expenditure is equal to 63

Answer:

90

Step-by-step explanation:

Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)

105 = 1/2 (120+x)

210 = 120+x

Subtract 120 from each side

210-120 = x

90 =x

The value of  Intercepted Arcs x will be 90. so option C is correct.

If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.

Or

|AC| = |CB|

Angle Formed by Two Chords= 1/2 (Sum of Intercepted Arcs)

105 = 1/2 (120+x)

210 = 120+x

Subtract 120 from each side;

210-120 = x

90 =x

Hence, the value of  Intercepted Arcs x will be 90. so option C is correct.

Learn more about chord of a circle here:

https://brainly.com/question/27455535

#SPJ5

I hope this helps :]

63x2−164x+96

Answer:

63x² - 164x + 96

Step-by-step explanation:

Use the FOIL method:

7x · 9x = 63x²

7x · -8 = -56x

9x · -12 = -108x

-12 · -8 = 96

63x² - 56x - 108x + 96

63x² - 164x + 96

Answer:

Step-by-step explanation:

Answer:

90 is the answer:)

Step-by-step explanation:

I hope it helps you. Have a marvellous day!

Answer:

90 is the answer

Step-by-step explanation:

Answer:

11 is the mean, median,mode

HOW TO FIND THE MODE

Find the number that is seen most often in the dataset.

HOW TO FIND THE MEDIAN

Find the number that's in the middle.

HOW TO FIND THE MEAN

Add all the numbers together. Then, divide by the amount of numbers in the dataset.

Step-by-step explanation:

Answer:

bag of chips = 2

cookies=1

Step-by-step explanation:

b = bags of chip cost

c = cookie cost

7b+3c = 17

3b +1c = 7

Multiply the second equation by -3

-9b -3c = -21

Add this to the first equation

7b+3c = 17

-9b -3c = -21

------------------------

-2b    = -4

Divide by -2

-2b/-2 = -4/-2

b = 2

Now find c

3b +1c = 7

3(2)+c = 7

6+c =7

c = 7-6

c=1

Answer:

940

Step-by-step explanation:

so the cheapest table is the rectangular table coming at around $4.6 per person while the 10 person table comes at $5.2 per person.

That being said we can only have 15 rectangular tables so thats a total of 150 people at a total of $420. We still need 100 more people so we would need 10 round tables so 52 * 10 = 520 and plus our previous total 420 + 520 our total comes down to 940.

If you liked this answer please consider giving it brainliest

Answer:

$54.32

Step-by-step explanation:

19=$36.48/19 =1.94

1=$1.94 * 28= 54.32

28=54.32

Answer:

Need more explation of the question

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

The given angles aren't equal which is needed for the polygon to be similar

No, the following polygons are not similar.

Used the concept of a similar figure that states,

In terms of Maths, when two figures have the same shape but their sizes are different, then such figures are called similar figures.

Given that,

Two polygons EFGH and JKLM are shown in the image.

Now the corresponding sides of both figures are,

EF = 27

JK = 63

And, EH  = 27

JM = 63

Hence, the ratio of corresponding sides is,

EF/JK = 27/63

= 9/21

= 3/7

EH/JM = 27/63

= 3/7

So their corresponding sides are equal in ratio.

But their corresponding angles are not the same.

To learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ4

Answer:

R12

Step-by-step explanation:

Answer: R12

Explanation:

Cost of 1 loaf = R6

Cost of 4 halves = 6/2×4

= 6 × 2

= R12

Please click thanks and mark brainliest if you like

Step-by-step explanation:

14/17 is 0.82352941176

To the nearest tenth is 0.8

Hey there!

[tex]\mathsf{x^{-2}}[/tex]

[tex]\mathsf{= -3^{-2}}[/tex]

[tex]\mathsf{= -1 \times 3^{-2}}[/tex]

[tex]\mathsf{3^{-2}}[/tex]

[tex]\mathsf{= \dfrac{1}{3\times3}}[/tex]

[tex]\mathsf{= -1 \times \dfrac{1}{3\times3}}[/tex]

[tex]\mathsf{= -\dfrac{1}{3\times3}}[/tex]

[tex]\mathsf{3\times 3}[/tex]

[tex]\mathsf{= 3^2}[/tex]

[tex]\mathsf{= - \dfrac{1}{3^2}}[/tex]

[tex]\mathsf{3^2}[/tex]

[tex]\mathsf{= 3 \times 3}[/tex]

[tex]\mathsf{= \bf 9}[/tex]

[tex]\mathsf{-\bf \dfrac{1}{9}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: }\boxed{\bf - \dfrac{1}{9}}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

howdy!!

yr answer is the third graph!

Step-by-step explanation:

Recall that [tex]\sin^2x + \cos^2x = 1[/tex]

[tex](\sin x \sin y - \cos x \cos y)(\sin x \sin y + \cos x \cos y)[/tex]

[tex]= \sin^2 x \sin^2 y - \cos^2 x \cos^2 y[/tex]

[tex]= \sin^2 x (1 - \cos^2 y) - \cos^2 x \cos^2 y[/tex]

[tex]= \sin^2 x - \sin^2 x \cos^2y - \cos^2x \cos^2y[/tex]

[tex]= \sin^2x - (\sin^2x + \cos^2x)\cos^2y[/tex]

[tex]= \sin^2x - \cos^2y[/tex]

Answer:

√245

Step-by-step explanation:

altitude on hypotenuse theorem:

m^2=7*35

m^2=245

m=√245

Answer:

[tex]p - 2q \\ \frac{3}{4} - 2( \frac{1}{2} ) \\ = \frac{3}{4} - \frac{2}{2} \\ = \frac{3}{4} - 1 \\ = \frac{3 - 4}{4} \\ = \frac{ - 1}{4} \\ = - 0.25[/tex]

I hope I helped you^_^

Given Equations

Let it has solution (x,y)

Add both

[tex]\\ \sf\longmapsto 5x+4x+3y+7y=8+34[/tex]

[tex]\\ \sf\longmapsto 9x+10y=42[/tex]

It will also have same solution (x,y)

The solution of the equations is (-2, 6) which satisfies the equation 9x + 10y = 42.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The system of linear equations is given below.

5x + 3y = 8               ...1

4x + 7y = 34            ...2

From equation 1, then we have

5x + 3y = 8

y = 8/3 - (5/3)x

Put in equation 2, then we have

4x + 7[8/3 - (5/3)x] = 34

12x + 56 - 35x = 102

-23x = 46

x = - 2

Then the value of y is calculated as,

y = 8/3 - (5/3)(-2)

y = 8/3 + 10/3

y = 18 / 3

y = 6

Let's check whether (-2, 6) satisfy the equation 9x + 10y = 42 or not. Then we have

9(-2) + 10(6) = 42

- 18 + 60 = 42

42 = 42

The solution of the equations is (-2, 6) which satisfies the equation 9x + 10y = 42.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Let numbers be x and y

ATQ

Adding both

[tex]\\ \sf\longmapsto 2x=58[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{58}{2}[/tex]

[tex]\\ \sf\longmapsto x=29[/tex]

Now putting value in eq(2)

[tex]\\ \sf\longmapsto x-y=9[/tex]

[tex]\\ \sf\longmapsto 29-9=y[/tex]

[tex]\\ \sf\longmapsto y=20[/tex]

Answer:

3x-2+2x+1+X

3x+2x+x-2+1

6x-1

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  x = A/y

Step-by-step explanation:

Divide both sides of the equation by y

  A = xy

  A/y = (xy)/y . . . . . . divide by y

  A/y = x . . . . . . . . . .simplify

  x = A/y . . . . . . . . . write with x on the left

Answer:

Smallest number:20456

Greatest number:65420

Answer:

w = -46/5

Step-by-step explanation:

Answer:

w=-9.2

Step-by-step explanation:

7(w+8)=2w+10

7w+56=2w+10

7w-2w=10-56

5w=-46

w=-9.2

Answer:

x = 14

Step-by-step explanation:

Vertical angles are equal

5x+2 = 6x-12

Subtract 5x from each side

5x+2-5x = 6x-12-5x

2 = x-12

Add 12 to each side

2+12 = x-12+12

14 =x

Answer:

f(x)=5cos(1/3x) this is an equation

Answer:

nfngkfngmnfjf jvfjkfntfknddjhdhdbdbdb

Answer:

2/5

Step-by-step explanation:

P(black)=10/25=2/5