All categories

3 years ago

Mrs. Pregnals's biology classes are going on a field trip. She has them break into groups of three or four

Mathematics

1 answer:

Law Incorporation [45]3 years ago

8 0

Answer:

x + y = 32 (1)

3x + 4y = 120 (2)

x = 8; y = 24

Step-by-step explanation:

Total students = 120

Number of groups = 32

If the number of three person groups = x

Number of four person groups = y

write a system of equations that models this situation

x + y = 32 (1)

3x + 4y = 120 (2)

From (1)

x = 32 - y

Substitute x = 32 - y into (2)

3(32 - y) + 4y = 120

96 - 3y + 4y = 120

- 3y + 4y = 120 - 96

y = 24

Substitute y = 24 into (1)

x + y = 32

x + 24 = 32

x = 32 - 24

x = 8

x = 8; y = 24

You might be interested in

Write the coordinates of the vertices after a reflection over the x-axis. 1072

Liula [17]

The reflection about x-axis results in same x coodinate with oppositive of y coordinate. It can be expressed as,

$(x,y)\rightarrow(x,-y)$

Determine the coordinates of the vertices after reflection over the x-axis.

$Q(6,-8)\rightarrow Q^{\prime}(6,8)$ $R(7,-8)\rightarrow R^{\prime}(7,8)$ $S(7,-5)\rightarrow Q^{\prime}(7,5)$ $T(6,-5)\rightarrow T^{\prime}(6,5)$

6 0

1 year ago

K plus 22 for khan academy

Nady [450]

That’s the question ?

5 0

3 years ago

Can someone help with question 3

kirza4 [7]

Answer:

This is what you have to explain:

With 5n, you are multiplying a number and a variable.

With 5 + n, you are adding a number and a variable.

4 0

3 years ago

Using the quadratic formula, what are the solutions to x2 – 3x = -2?

Kryger [21]

Step-by-step explanation:

<h2>Nubra Valley in Ladakh. Nubra Valley | #1 of 30 Most Beautiful Places in India. ... </h2><h2>Khajjiar in Himachal Pradesh. ... </h2><h2>Valley of Flowers in Uttarakhand. ... </h2><h2>Dal Lake in Srinagar. ... </h2><h2>Munnar in Kerala. ... </h2><h2>Dudhsagar Falls in Goa. ... </h2><h2>Yumthang Valley in Sikkim. ... </h2><h2>Tawang in Arunachal Pradesh.</h2>

6 0

2 years ago

Read 2 more answers

Paige launched a ball using a catapult she built. The height of the ball (in meters above the ground) ttt seconds after launch i

agasfer [191]

Answer:

1) Factor form : $h(t)=-5t(t-8)$