Staci pays $32.70 for 5 cell phone cases. Each case costs the same amount. How much does eachcase cost?

Answer:

y = 3x - 3

Step-by-step explanation:

This more of a guess than a reality of method. You have to try and guess which number when multiplied by 4 will give 9. It won't happen directly.

The best clue is provide by (0,-3).

So let's start with a general linear equation.

y = mx + b

If you put in 0 for x then mx disappears and you are are left with y = - 3

That means that b = - 3

So now you have

y = mx - 3  

Now try another one

y = mx - 3

y = 9

x = 4

9 = mx - 3

9 = 4m - 3            Add 3 to both sides

9+3 = 4m-3+3      Combine

12 = 4m                Divide by 4

12/4 = 4m/4        

3 = m

So the equation you want so far, is y = 3x - 3               Does it work for anything else?

Try - 3 , - 12 . If it works for this, it should work for anything.

y = 3*-3 - 3

y = -9 -3

y = - 12

and it does work, so that's your answer.

Answer: p800,000

Step-by-step explanation:

1/2         to wife

1/3         to eldest son, and

Rest(x)   to 5 youngest children

(1/2) + (1/3) + x = 1  [The sum of the shares will equal 1 estate]

(3/6) + (2/6) + x = 1

(5/6) + x = 1

x = (1/6); to be divided among the 5 youngest children

We find that each young child receives p60,000.  That group of five received 5*(60,000) = p300,000, which represents (1/6) of the total estate (Estate).

We can write:    (1/6)*(Estate) = p300,000

Estate = p1,800,000

The wife hauled in 1/2 of this, so she received p800,000.

Step-by-step explanation:

You need a arbitrary points that will help you determine the sketch of the graph. I say use at most 5 points but you just need to know the following

The exterma: The maximum/minimum points on a certain interval.

The zeroes: What values willTheorem, Factoring, and more to help you find the zeroes.

Increasing and decreasing behavior between the consective zeroes: How the function behaves around consective zeroes. It must be above or below x axis between the zeroes.

And finally, the end behavoir: How the function behaves as x approaches infinity and negative infinity. Does the function increases or decreases.

That it. If you need an example, just ask me

Answer:

25 %

Step-by-step explanation:

Error = (actual - predicted) / (predicted)

= (250-200) / 200

= 50 / 200

= 0.25

multiply by 100 to conver to a percent

25 %

Answer:

62.5 %

Step-by-step explanation:

you have to subtract 32-12, which equals 20

then divide 20 by the original amount (20/32)

20/32= .625, then you have to multiply to get the final answer...hope this helped!

Answer:

SAS,

Step-by-step explanation:

2 sides and the included angle.

Answer:

88889

Step-by-step explanation:

This is because you do stacked subtraction to get final answer

Answer:

88,889

Step-by-step explanation:

98,765 - 9,876 = 88,889

The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.

A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.

For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.

This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:

Learn more about sequences in: https://brainly.com/question/21961097

#SPJ1

Answer:The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.

What is a double number line?

A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.

For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.

Is the double number line correct?

This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:

0, 4, 8, 12 (multiples of 4), which means 3 does not match.

Answer:

8x-29y Sorry if wrong!

Step-by-step explanation:

You have to distribute first and then combine like terms.

Answer:

8x-29y

Step-by-step explanation:

You have to distribute first and then combine like terms.

And that is where you get your answer.

Hope this helps.

Answer:

972 x^16 y^24

Step-by-step explanation:

Simplify the following:

(-2 x^3 y^7)^2 (3 x^2 y^2)^5

Multiply each exponent in -2 x^3 y^7 by 2:

(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5

2×7 = 14:

(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5

2×3 = 6:

(-2)^2 x^6 y^14 (3 x^2 y^2)^5

(-2)^2 = 4:

4 x^6 y^14 (3 x^2 y^2)^5

Multiply each exponent in 3 x^2 y^2 by 5:

4 x^6 y^14×3^5 x^(5×2) y^(5×2)

5×2 = 10:

4×3^5 x^6 y^14 x^(5×2) y^10

5×2 = 10:

4×3^5 x^6 y^14 x^10 y^10

3^5 = 3×3^4 = 3 (3^2)^2:

4×3 (3^2)^2 x^6 y^14 x^10 y^10

3^2 = 9:

4×3×9^2 x^6 y^14 x^10 y^10

9^2 = 81:

4×3×81 x^6 y^14 x^10 y^10

3×81 = 243:

4×243 x^6 y^14 x^10 y^10

4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:

4×243 x^(6 + 10) y^(14 + 10)

14 + 10 = 24:

4×243 x^(6 + 10) y^24

6 + 10 = 16:

4×243 x^16 y^24

4×243 = 972:

Answer: 972 x^16 y^24

Answer:

972x^(16)y^(24)

Step-by-step explanation:

Hope it correct !!

Answer:

p=0.6

Step-by-step explanation:

Answer:

13 hours

Step-by-step explanation:

155 + 92 = 247

247 / 19 = 13

Answer:

15/2

Step-by-step explanation:

hope it helps (•‿•)

Answer:

The input is being multiplied by 10.

This can be represented with the function x * 10 = y with x representing the input and y representing the output.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The coefficient is always the number before the variable (X).

Answer:9

Step-by-step explanation:

The coefficient is always by the variable (the number or letter)

Answer:

39

Step-by-step explanation:

Two triangles are similar so we can use the similarity ratio to calculate the value of x this way we can find the length of FH

(x+8)/32 = (4x-25)/52 cross multiply expressions

52x + 416 = 128x - 800 export like terms to the same side of equation

416 + 800 = 128x - 52x

1216 = 76x divide both sides by 76

16 = x then the length of FH

4*16 - 25 = 39

Step-by-step explanation:

V epual to L x W x H

9.6cm x 0.8cm

9.6

x 0.8

46

Answer:

12 cm

Step-by-step explanation:

[tex]v_{eraser} = area \: of \: base \times height \\ \\ \therefore \: area \: of \: base = \frac{v_{eraser}}{height} \\ \\ = \frac{9.6}{0.8} \\ \\ = 12 \: cm[/tex]

Answer:

No solution

Step-by-step explanation:

Expand and simplify both expressions:

6l+18 < 6l+18

6l+18-18 < 6l+18-18

6l < 6l

0 < 0

Therefore, there is no solution

[tex]\text{Given that,}\\\\\\f(x) = 9x^3 -x^2 +2 \\\\f(2) = 9(2^3) - 2^2 +2\\\\~~~~~~~ = 9(8) -4 +2 \\\\~~~~~~~= 72 -2 \\\\~~~~~~~=70[/tex]

Answer:

11 passengers per minute.

Step-by-step explanation:

To find how many passengers board the boat in a minute, you'd have to divide 88 with 8.

88/8 = 11

To check:

11 passengers per min x 8 mins = 88 passengers.

Answer: 125 hearts and 375 stars

Step-by-step explanation:

25% of 100 is 25. Take 100 and x it by 5. 100 x 5 is 500 making 25 x 5 125. That being said 125 hearts and 375 stars

Answer:

125 hearts and 375 stars

Step-by-step explanation:

I can't see it can you retake the picture please so I can try to help if I know it?

The magnitude of the impulse needed to bring the brick to rest is given by the initial momentum of the brick.

The correct responses are;

Reasons:

The velocity of the brick as it reaches the ground is given by the formula;

v² = 2·g·h

v = √(2·g·h)

Where;

h = The height of the brick, h = 1.6 m

g = The acceleration due to gravity ≈ 9.81 m/s²

Therefore;

v ≈ √(2 × 9.81 m/s² × 1.6 m) ≈ 5.6 m/s

(a) Momentum = Mass × Velocity

The momentum of the brick = 5.6 m/s × 8 kg = 44.8 kg·m/s

(b) Impulse = Force × Δt = Mass × Δv

Mass × Δv = 8 kg × (5.6 m/s - 0) = 44.8 kg·m/s = 44.8 N·s

Therefore, the impulse = 44.8 N·s

(c) The distance over which the carpet stops the brick = 2.0 cm = 0.02 m

Initial energy in the brick, E = m·g·h

Which gives;

E = 8 kg × 9.81 m/s² × 1.6 m = 125.568 J

Energy = Force × Distance

[tex]\displaystyle Force \ carpet \ exerts \ on \ brick, \ F = \frac{125.568 \, J}{0.02 \, m} = \mathbf{ 6,278.4 \, N}[/tex]

The average force the carpet exerts, F = 6,278.4 N

(d) If the brick falls on a foam which is 6.0 cm (thickness), we have;

Distance = 6.0 cm = 0.06 m

Therefore;

[tex]\displaystyle Force, \, F = \frac{125.568 \, J}{0.06 \, m} = \mathbf{2,092.8 \, N}[/tex]

The constant force needed to bring the brick to rest is, F ≈ 2,092.8 N

Learn more about force and energy here:

https://brainly.com/question/6366228

https://brainly.com/question/528149

Answer:

42 and 54

Step-by-step explanation:

Answer:

$6.25

Step-by-step explanation:

10 pencils = $0.5 times 10 = $5

$5 plus $1.25 (price of the notebook) = $6.25