Fatoumata observes marble travel along a horizontal path at a constant rate. The marble travels 1/12 of the length of the path in 4 2/3 seconds. At that rate, how many seconds does it take the object to travel the full length?

so wt's the question of this pic?

Answer:

13.433333333

Step-by-step explanation:

Answer:

D. m = 5/2

Step-by-step explanation:

35 / 14 = m

35 / 14 = 2.5

2.5 as a fraction is 5/2

The equivalent value of m is given by the expression m = 5/2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To solve for m, we need to isolate m on one side of the equation by dividing both sides by 14:

14m/14 = 35/14

Simplifying, we get:

m = 35/14

On further simplification of the equation , we get

m = (35/7)/(14/7)

m = 5/2

Hence , the equation is m = 5/2.

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Answer:

amount of water required = 45 g

Step-by-step explanation:

Answer:

45g

Step-by-step explanation:

Answer:

20 weeks

Step-by-step explanation:

30/15=2

300/15=20

20 weeks

Answer:

38m

Step-by-step explanation:

the top side is equal to

2 + 5 + 1 = 8

the perimeter:

9 + 7 + 8 + 2 + 4 + 5 + 2 + 1 = 38

Answer:

.375

Step-by-step explanation:

To find the batting average, do 15/40. And 15/40=.375

Answer:

x >= 9

x <= 32

x > -24

x > -5

x <= 10

x > -6

Step-by-step explanation:

first, write it down as inequalities:

5x >= 45

x/4 <= 8

x/-3 < 8

7x > -35

x/2 <= 5

3x > -18

then, solve the inequalities

5x >= 45

x >= 45/5

x >= 9

x/4 <= 8

x <= 8*4

x <= 32

x/-3 < 8

x > 8 * -3

x > -24

7x > -35

x > -35/7

x > -5

x/2 <= 5

x <= 5*2

x <= 10

3x > -18

x > -18/3

x > -6

Answer:

Line 4 is incorrect. Noah applied the distributive rule incorrectly.

Step-by-step explanation:

The incorrect step in Noah's work is fourth step that is :

[tex]7.14-6=12.14-20[/tex]

We have equation [tex]\frac{1}{2} (7x - 6) = 6x - 10[/tex]

Substituting [tex]x=\frac{14}{5}[/tex] in the given equation

[tex]\frac{1}{2} (7(\frac{14}{5} ) - 6) = 6((\frac{14}{5} ) - 10\\ (7(\frac{14}{5} ) - 6) = 12((\frac{14}{5} ) - 20\\ 5(7(\frac{14}{5} ) - 6) = 5(12((\frac{14}{5} ) - 20)\\7.14-5.6=12.14-5.20\\98-30=168-100\\68=68[/tex]

So, here in the given solution we observe that the fourth step is incorrect.

Since 5 is not multiplied to 6 and 20.

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Answer: -25•2^n-1 is the awnser

The explicit formula of the geometric sequence is -25 × 2ⁿ⁻¹.

Let's find the explicit formula for the geometric sequence as follows:

-25, -50, -100,- 200, ...

Using the geometric sequence formula,

nth term = arⁿ⁻¹

where

Therefore,

a = -25

r = -50 / -25 = 2

Hence,

nth term = -25 × 2ⁿ⁻¹

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Answer:

1

Step-by-step explanation:

5% of 20 = 1. hope this helps :)

Answer:

Integers are always closed under subtraction, addition and multiplication, not division though. Hope this helped! :D

Step-by-step explanation:

Answer:

HI BYE 45     SO ME I THINK IT I DONT KNOW SO PEACE GOOD LUCK

9514 1404 393

Answer:

  >

Step-by-step explanation:

We know that 5 + 3 = 8, so 5 2/3 +3 = 8 2/3.

This problem has you adding 3 3/4, not 3, so the sum will clearly be "greater than" 8 2/3.

  5 2/3 + 3 3/4 > 8 2/3

Answer:

16.8

Step-by-step explanation:

Because 2 to 8.4 is a scale factor of 1:4.2, you must solve 4*4.2. 4*4.2=16.8, so side OM is 16.8.

Answer:

16.8 is the measurement of OM

Step-by-step explanation:

In the JKL triangle the line LK is measured by 2 while the LJ is 4 the measurement is doubled and it is stated that JKL and MNO have the same measurement therefore the pattern can be seen in the traingle JKL.

Answer:

Median

Step-by-step explanation:

The line that divides the rectangular box that into two on a box plot usually represents the median of the data set.

Therefore, number 163 would be the median of the data set.

163 represents the median value of the data set.

Answer:

The number 163 represents the

median

of the data set.

Step-by-step explanation:

Answer:

[tex]33[/tex] times

Step-by-step explanation:

Distance between Earth and the sun [tex](D)[/tex] = 9 × [tex]10^{7}[/tex] miles = [tex]90,000,000[/tex] miles

Distance between Neptune and the sun [tex](d)[/tex] = 3 × [tex]10^{9}[/tex] miles = [tex]3,000,000,000[/tex] miles

Find [tex]\frac{d}{D}[/tex].

[tex]\frac{d}{D}=\frac{3,000,000,000}{90,000,000} =33.3[/tex] ≈ [tex]33[/tex]

Therefore,

Neptune is approximately [tex]33[/tex] times farther from the sun than earth

Answer:

1

Step-by-step explanation:

Given :

Mean, μ = 4

Standard deviation, s = 0.8

Sample size, n = 30

The distribution is independent.

Z = (x - μ) / s /sqrt(n)

Probability that downtime period is between 1 and 5

P(1≤ x ≤ 5) :

[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]

[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]

[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]

P(-20.539602 ≤ Z ≤ 6.8465342)

P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)

P(Z ≤ 6.8465342) = 1 (Z probability calculator)

P(Z ≤ - 20.5396) = 0 (Z probability calculator)

1 - 0 = 1

Answer:

$278.15×60= $16688.969

Step-by-step explanation:

Murphy has a 15/5 balloon mortgage plan therefore he would make constant payments monthly for five years and then pay the balance of the loan/balloon payment for the 10 years left in bulk

To calculate principal+interest on loan before balloon payment is due, we simply calculate Murphy's constant/monthly payments for the 15 year loan amortization and multiply by number of payments before balloon payment is due:

Formula for monthly payments

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= monthly payments

P= mortgage loan value

r= interest rate on loan

n= number of payments = 15×12= 180 monthly payments

Substitute :

A= $113500×0.0495×0.0495(1+0.0495)^180/(1+0.0495)^180-1

A= $113500×0.0495×296.104/5980.90

A= $113500×0.0495×0.049508

A= $278.15

To calculate our principal and interest before balloon payment, we multiply by number of payments(5×12=60 payments) before due balloon payment

60×$278.15= $16688.969

Answer:

−t+24

Step-by-step explanation:

Answer:

x = 2, -2, -1/5

Step-by-step explanation:

g(x)= 5x^3+x^2-20x-4

g(x)= x^2(5x+1)-4(5x+1)

g(x)=(x^2-4)(5x+1)

g(x)=(x-2)(x+2)(5x+1)

x-2=0

x= 2

x+2=0

x= -2

5x+1=0

x= -1/5

Answer:  D. 7

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

LCD = 30

200(3/30) = 600/30

^ do this process for each number

Answer: 216

Step-by-step explanation:

Answer:

Constants are the terms in the algebraic expression that contain only numbers. That is, they're the termswithout variables. We call them constants because their value never changes, since there are no variablesin the term that can change its value.

Step-by-step explanation:

Answer:

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°

Step-by-step explanation:

Step(i):-

Given that ∠HIG is a right angle triangle

Given∠I = 53°

By using the sine function

[tex]sin53 = \frac{opposite side}{hypotenuse} =\frac{z}{25}[/tex]

 z = 25 × sin53° = 25×0.798635

z = 19.965 ≅20 m

Step(ii):-

[tex]sind = \frac{8}{10} = \frac{4}{5}[/tex]

⇒    [tex]d = sin^{-1} (\frac{4}{5} )[/tex]

⇒   d = 53.13°

Final answer:-

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°

Answer:

- 8/3

Step-by-step explanation:

Simply subtract 4 from 4/3

4/3 - 4 = 4/3-12/3=-8/3

Lets check of our answer is correct:

4 - 8/3 = 12/3 - 8/3 = 4/3. So our answer is correct.