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3 years ago

10

Katoni bought 2 1/2 dozen pencils . There are 12 pencils in a dozen. How many pencils did Katoni buy?

1 answer:

sergeinik [125]3 years ago

5 0

Half of a dozen is 6. And 12+12 is 24 and 24+6 is 30. So Katoni bought 30 pencils.

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Gold’s gym charges $30 membership fee plus $3 for each workout, while Titletown charges $40 membership fee plus $1 for each work

ollegr [7]

Answer:

5 workouts should be performed to equalize the costs between both gyms.

Step-by-step explanation:

Given that Gold’s gym charges $ 30 membership fee plus $ 3 for each workout, while Titletown charges $ 40 membership fee plus $ 1 for each workout, to determine how many workouts does a person have to do until the total costs are equal, the following calculation must be performed:

Gold's Gym: y = 30 + 3x

Titletown Fitness: y = 40 + x

Gold's Gym: y = 30 + 3x2 = 36

Titletown Fitness: y = 40 + 2 = 42

Gold's Gym: y = 30 + 3x3 = 39

Titletown Fitness: y = 40 + 3 = 43

Gold's Gym: y = 30 + 3x4 = 42

Titletown Fitness: y = 40 + 4 = 44

Gold's Gym: y = 30 + 3x5 = 45

Titletown Fitness: y = 40 + 5 = 45

Thus, 5 workouts should be performed to equalize the costs between both gyms.

3 0

3 years ago

Michele correctly solved a quadratic equation using the quadratic formula as shown below.

Fofino [41]

Answer:

The original equation must have been:

$7x^{2} -5x-2=0$

Step-by-step explanation:

A quadratic equation is in the form of :

$ax^{2} +bx+c=0$

And it is solved in the form of :

$x=\frac{-b+\sqrt{b^{-4ac} } }{2a}$ and $x=\frac{-b-\sqrt{b^{-4ac} } }{2a}$

Now the given equation is :

$x=\frac{-(-5)+-\sqrt{(-5)^{2} -4(7)(-2)} }{2(7)}$

We can see that here;

a = 7

b = -5

c = -2

So, the original equation must have been:

$7x^{2} -5x-2=0$

5 0

3 years ago

Graph the linear equation

Mekhanik [1.2K]

Answer:

I added a screenshot. ;)

Step-by-step explanation:

4 0

3 years ago

Joey is running an experiment with a mass on a spring. Joey models the height of the mass above the table he is working on using

galben [10]

Answer: 1.8 s

Step-by-step explanation:

Given

The height of the spring mass system above the table is given by

$h(t)=6.85\cos (3.42t)+9$

The mass is performing S.H.M with frequency $\omega =3.42$

and $\omega T=2\pi$

$\therefore T=\dfrac{2\pi }{\omega}$

time when mass returns to its original position

$T=\dfrac{2\pi }{3.42}\\\\T=1.8\ s$

5 0

3 years ago

How do you find a variable to 4-2(v+9)=26

garik1379 [7]

Answer:

V=20

Step-by-step explanation:

Simplify both sides of the equation.

4−2(v+9)=26

4+(−2)(v)+(−2)(9)=26(Distribute)

4+−2v+−18=26

(−2v)+(4+−18)=26(Combine Like Terms)

−2v+−14=26

−2v−14=26

Step 2: Add 14 to both sides.

−2v−14+14=26+14

−2v=40

Step 3: Divide both sides by -2.

−2v

−2

=

40

−2

v=−20

7 0

3 years ago