Mr. Torres has a class of 17 students. He can spend $24 on each student to buy math supplies for the year. He first buys all of his students calculators, which
costs a total of $77.35. After buying the calculators, how much does he have left to spend on each student?

Answer:

Step-by-step explanation:

a²+b² = c² c is always the longest line thats opposite to the 90 degree angle

for 1

15² + b² = 17²

b² = 17² - 15²

b = √(17² - 15²)

b= 8

Answer:

[tex]28km[/tex]

Step-by-step explanation:

[tex]5miles = 8km[/tex]

[tex]17.8miles = x[/tex]

[tex] \frac{17.8}{5} \times 8km[/tex]

[tex]x = 28km[/tex]

Answer:

7 steps.

Step-by-step explanation:

Since the monkey is sitting on the first step already you can subtract 9 by 1 to find the amount of steps left.

9-1 = 8 steps left

The monkey jumps 3 steps down

8-3= 5 steps

Then jumps 2 steps up

5 + 2 = 7 steps

The monkey has 7 more steps until he reaches the water level.

Answer:

x=3

Step-by-step explanation:

3x+1+15

/2

= 12.5

Answer:

a45 = 320

Step-by-step explanation:

The 45th term of the Arithmetic Sequence will be 355.

We have a Arithmetic Sequence with a = 3 and d = 8.

We have to determine the 45th term of this sequence.

The formula to calculate the nth term of an Arithmetic Sequence is -

a(n) = a + (n - 1)d

a - first term of A.P.

d - Common difference of A.P.

n - position of term

According to the question -

a = 3

d = 8

n = 45

Then, using the formula to calculate the nth term, we get -

a(n) = a + (n - 1)d

a(45) = 3 + (45 - 1)8

a(45) = 3 + 44 x 8

a(45) = 3 + 352

a(45) = 355

Hence, the 45th term of the Arithmetic Sequence will be 355.

To solve more questions on Arithmetic Sequences, visit the link below-

https://brainly.com/question/19828148

#SPJ2

circumference = 12.57m

hope it helps...!!!

Answer:

  49 = 7²

Step-by-step explanation:

A logarithm is an exponent. The base of the logarithm is the base of the exponent. The base to that exponent is the argument of the log function.

__

The logarithm (exponent) is 2. The base is 7. The argument of the log function is 49. In exponential form, this is written ...

  7² = 49

Answer: 29.88

Step-by-step explanation: if 5 pounds = $12.45,

                                             then 12 pounds = x

Therefore, Cross-multiply

5 x = 12 (12.45)

5x=149.4

x=149.4/5

x=29.88

Answer:

Step-by-step explanation:

Equation

Cost = k*weight

Givens

weight = 5 pounds

Cost = 12.45

12 pounds

Find k

Cost = k*weight

cost = 12.45

weigh = 5 pounds          Substitute these values into the equation

12.45 = k * 5                    Divide by 5

12.45 /5 = k*5/5

2.49 = k

Solve for 12 pounds

Cost = 2.49 * 12

Cost = 29.88

Answer

Cost = 29.88

Answer:

no solution

Step-by-step explanation:

This is because they never intersect so there is no solution.

Answer:

no solution

Step-by-step explanation:

Answer:

The width would be 64 cm

Step-by-step explanation:

Because the equation to find area is length times height

Since you have the area and the length, divide the area by the length to find the width

I hope this helps!

Veremos que la ecuación que describe el movimiento del camión es:

f(t) = -2km + (10km/h)*t

Primero debemos recordar la relación:

distancia = velocidad*tiempo.

Entonces, podemos escribir la pocición del camión como:

f(t) = pocición inicial + velocidad*t

Donde t es el tiempo en horas.

Sabemos que:

Reemplazando eso obtenemos:

f(t) = -2km + (10km/h)*t

Esta es la ecuación de movimiento del camión.

Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:

https://brainly.com/question/19365526

Using the box plot, it is found that 200 is the median, that is 50% of the books had 200 or fewer pages.

It is a plot that focuses the interquartile range of the population, that is, it gives:

In this problem, they are given as follows:

Hence, 50% of the books had 200 or fewer pages.

More can be learned about box plots at https://brainly.com/question/14277132

Answer:

Infinite

Step-by-step explanation:

Most common examples are 1/2 3/6 7/14 4/8 2/4 5/10 8/16 50/100

well, since we'll be assuming a year has 365 days, well, 105 days is really just 105/365 of a year, and since you paid back 600, that means the interest was 50 bucks, 600 - 550 = 50.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$50\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{105}{365}\dotfill &\frac{21}{73} \end{cases} \\\\\\ 50 = (550)(\frac{r}{100})(\frac{21}{73})\implies 50=\cfrac{11550r}{7300}\implies 50=\cfrac{231r}{146} \\\\\\ 7300=231r\implies \cfrac{7300}{231}=r\implies \stackrel{\%}{31.6}\approx r[/tex]

Answer:

[tex]64\pi[/tex]

Step-by-step explanation:

[tex]2\pi {(4)}^{2} + 2\pi \: 4 \ast4 \\ \\ = 2\pi \ast16 + 2\pi \ast16 \\ \\ = 32\pi + 32\pi \\ \\ = 64\pi[/tex]

Answer:

64π

Step-by-step explanation:

2π(4²) + 2π(4)(4) <== exponents first

2π(16) + 2π(16) <== multiply

32π + 32π <== add

64π <== final answer

Note: 4 * 4 can also be written as 4²

Hope this helps!

Answer:

Bedwetter middle school? Also where is dot plot

Step-by-step explanation:

Answer: (-4, -6)

Step-by-step explanation:

Solving by graphing

[] See attached

    () The only point in the required range is point (-4, -6)

Solving by plugging-in

        I will figure out what the correct option is by plug them into the first equation. Since only one of these options is true, I do not need to do the second equation.

[✗] Let's check point (4, 10)

    () 10 < (1/4)4 - 4

       10 < 1 - 4

       10 < -3 is false, so this answer is incorrect

[✗] Let's check point (-4, 5)

    () 5 < (1/4)-4 - 4

       5 < -1 -4

       5 < -5 is false, so this answer is incorrect

[✗] Let's check point (-4, -4)

    () -4 < (1/4)-4 - 4

       -4 < -1 -4

       -4 < -5 is false, so this answer is incorrect

[✓] Let's check point (-4, -6)

    () -6 < (1/4)-4 - 4

       -6 < -1 - 4

       -6 < -5 is true, so this answer is correct      

Answer:

x = 4

y = 6

Step-by-step explanation:

3x + 4y = 36 ⇒ ( 1 )

y = - 1/2x + 8 ⇒ ( 2 )

( 2 ) × 2

2y = -x + 16 ⇒ ( 3 )

2y + x = 16

x = 16 - 2y ⇒ ( 4 )

Let us replace x with ( 16 - 2y ) and the value of y.

For that, let us use the equation (1).

3x + 4y = 36

3 ( 16 - 2y )  + 4y = 36

48 - 6y + 4y = 36

48 - 2y = 36

48 - 36 = 2y

12 = 2y

Divide both sides by 2.

6 = y

Now let us replace y with 6 and find the value of x.

For that let us use equation 4.

x = 16 - 2y

x = 16 - 2 × 6

x = 16 - 12

x = 4

Answer:

9

Step-by-step explanation:

3/2x6/2=18/2 Simply that and it turns to 9.

Answer:

9

Step-by-step explanation:

3*6*2 = 36

2*2 = 4

36/4 = 9

I multiplied the numerators together and the denominators together.

PLEASE RATE!! I hope this helps!!

Answer:

x^2 + 18x + 81

Step-by-step explanation:

(x+9) (x+9)

then distributive property

[tex](x+9)^2\\\\=x^2 + 2\cdot 9 \cdot x + 9^2\\\\=x^2 +18x+81[/tex]

Answer:

x = -6          or   x = -2

Step-by-step explanation:

|3x-4(x+1)|=2

Simplify inside the absolute value by distributing

|3x-4x-4|=2

Combine like terms

|-x-4|=2

Now separate into two equations, one positive and one negative

-x-4 = 2   or -x-4 = -2

Add 4 to each side

-x-4+4 = 2+4     or -x-4 = -2+4

-x = 6                  or -x =2

Multiply by -1

x = -6          or   x = -2

Answer:

Step-by-step explanation:

D

Answer: 15

Based on this info they have a probability of 0.6 of winning a game.So for 15 games they should win 0.6*15  = 9 gamesSo prediction for whole season = 6+9 = 15 games.

Step-by-step explanation:

Using the concept of y-intercept, it is found that the response that is not correct is given by:

B) Replace x with -x.

It is the value of the function when x = 0, hence it is the point (0, f(0)).

In this problem, the function is:

[tex]f(x) = 3(2)^x[/tex]

The y-intercept is given by:

[tex]f(0) = 3(2)^0 = 3[/tex]

If we just replace x with -x, we still have the same expression as above, hence the y-intercept does not change and option B is the answer to this question.

More can be learned about y-intercepts at https://brainly.com/question/24737967

Answer:

8

Step-by-step explanation:

Answer: 75.36

Step-by-step explanation: Lenght of arc=2nr
=2nx12in

=75.36

lenght of arc of sector=120/360x75.36

=25.12

Answer:

The answer is 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation: took the quiz