1+4=5 2+5=12 3+6=21 8+11=?

Tomorrow, Mrs. Wendel's class will be using toothpicks for a science project. Each student must use at least 9 toothpicks for th

Sergeeva-Olga [200]

Number of toothpicks required per student = At least 9

Total number of students = 30

Number of toothpicks required for the entire class = At least 9 × 30 = At least 270

Number of toothpicks in the bag in the class storage room = 50

Additional number of toothpicks required to be bought to make sure there are enough toothpicks = 270 - 50 = 220

Hence, she needs to buy 220 toothpicks.

4 0

2 years ago

Read 2 more answers

Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction? Select three options. m = Sta

marishachu [46]

Answer:

1) m = negative StartFraction 10 over 4 EndFraction

2) m = negative five-halves

3) m = $-\frac{7}{4} - \frac{3}{4}$

Step-by-step explanation:

<u>The given equation is:</u>

=> $\frac{3}{4} +m = -\frac{7}{4}$

Subtracting 3/4 to both sides

=> m = $-\frac{7}{4} - \frac{3}{4}$

=> m = $\frac{-10}{4}$

=> m = $-\frac{5}{2}$

5 0

1 year ago

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Write an arithmetic series for which S5 = 10.

Ludmilka [50]

S5=10 means the 5th number is 10.
So the arithmetic sequence is s1, s2,s3, s4, 10

3 0

2 years ago

a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.

satela [25.4K]

Answer:

$t=2.47\ s$

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

$h(t) = h_0 + s_0t -16t ^ 2$

Where $h_0$ is the initial height, $s_0$ is the initial velocity and t is the time in seconds.

We know that the initial height is:

$h_0 = 4.5\ ft$

The initial speed is:

$s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s$

So the equation is:

$h (t) = 4.5 + 37.62t -16t ^ 2$

The ball hits the ground when when $h(t) = 0$

So

$4.5 + 37.62t -16t ^ 2 = 0$

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

$at^2 +bt + c$

The quadratic formula is:

$t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}$

In this case

$a= -16\\\\b=37.62\\\\c=4.5$

Therefore

$t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}$

$t_1=-0.114\ s\\\\t_2=2.47\ s$

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

4 0

2 years ago

"A 10-gram marble has a speed that is 5 times as fast as that of a 100-gram marble. Both marbles leave the table at the same tim

Ostrovityanka [42]

If the 10-gram marble is going faster it is possible that the momentum of the marble will make if go farther than the 100-gram marble

6 0

1 year ago