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3 years ago

420 students went on a field trip. Ten buses were filled and 20 students traveled in cars. How many students were in each bus?

Mathematics

1 answer:

Gnoma [55]3 years ago

4 0

Answer:40

Step-by-step explanation:

420-20=400

400\20=40

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Write cubed root of x2 using a fractional exponent

SIZIF [17.4K]

$\sqrt[3]{x^2} = x^{ \frac{2}{3} }$

6 0

3 years ago

Suppose j varies jointly with g and v, and j=2 when g=4 and v=3. Find j when g=8 and v=9.

vladimir2022 [97]

Answer:

$j=12$

Step-by-step explanation:

we know that

In a join variation, If j varies jointly with respect to g and v, the equation will be of the form $j = kgv$

where k is a constant

step 1

Find the value of k

we have

j=2,g=4,v=3

substitute and solve for k

$2 = k(4)(3)$

$2 = 12k$

$k=\frac{1}{6}$

The equation is equal to

$j=\frac{1}{6}gv$

step 2

Find the value of j when g=8,v=9

substitute the values in the equation and solve for j

$j=\frac{1}{6}(8)(9)$

$j=12$

3 0

3 years ago

If the mean of 20, y, 10,5,15 is 22 find the value of y

QveST [7]

Looks like 14.4 because you have to add them all together and divide by the total numbers
(20+22+10+5+15)/ 5

8 0

3 years ago

The polynomial below is perfect square trinomial of the form a^2 -2AB +B^2

guajiro [1.7K]

Answer:

In order to get this perfect square trinomial, the factored form will be (a - b)^2

Step-by-step explanation:

We know this because it follows the rule of perfect squares in which the ends are both squares and the middle term is -2 times each term.

5 0

3 years ago

The table shows the highest daily temperature in degrees Fahrenheit averaged over the month for Cosine City, where m is the numb

Bezzdna [24]

Answer:

Part A) The amplitude = 24

Part B) The period = 24

Part C) Vertical shift = 36

Step-by-step explanation:

The general equation of the sine function:

y = A sin (Bx) + C

Where A is the amplitude and B = 360°/Period and C is the vertical shift

See the attached figure which represents the graph of m and f(m)

So,

Part A:

The function has minimum at 12 and maximum at 60

The difference is = 60 - 12 = 48

So, The amplitude = 48/2 = 24

Part B:

Period: The period of a periodic function is the interval on which the cycle of the graph that's repeated in both directions lies.

We can deduce that the function completes one cycle within 24 months

So, the period = 24

Part C:

Vertical shift is obtained at m = 0

So, f(m) = 36

36 = A sin (0) + C

C = 36 ⇒ Vertical shift

So, The amplitude = 24

The period = 24

Vertical shift = 36

8 0

3 years ago