Yx divide2; use x=7, and y =2

There are 42 students on a large bus and the rest are on a smaller bus. If 40% of the students are on the smaller bus how many t

Liono4ka [1.6K]

Answer:

<u>There are 70 students on the two buses, 42 on the large and 28 on the smaller.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of students on the large bus = 42

Number of students on the small bus = 40% of the students

2. How many total students are on the two buses?

For answering the question, we will use the Rule of Three Simple, this way:

42 students are 60% of total students, how much students are the 100%?

Total students = 42 * 100/60

Total students = 4,200/60 = 70

<u>There are 70 students on the two buses, 42 on the large and 28 on the smaller.</u>

5 0

4 years ago

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

BARSIC [14]

Answer:

Dada la siguiente función exponencial, identifique si el cambio representa crecimiento o disminución, y determine la tasa porcentual de aumento o ...

Step-by-step explanation:

3 0

3 years ago

Write the next three terms of the geometric sequence.

mihalych1998 [28]

I think you posted this question more than once..

8 0

3 years ago

Three families bought 7 pounds of oranges back from vacation in Florida to share. How many pounds of oranges did each family get

9966 [12]

Each family got 28 pounds of oranges

3 0

4 years ago

Read 2 more answers

Consider a circle whose equation is x2 + y2 + 4x – 6y – 36 = 0. Which statements are true? Check all that apply. To begin conver

umka21 [38]

Answer:

1) False, to begin converting the equation to standard form, each side must be added by 36. 2) True, to complete the square for the x terms, add 4 to both sides, 3) True, the center of the circle is at (-2, 3), 4) False, the center of the circle is at (-2, 3), 5) False, the radius of the circle is 7 units, 6) False, the radius of the circle is 7 units.

Step-by-step explanation:

Let prove the validity of each choice:

1) To begin converting the equation to standard form, subtract 36 from both sides:

Let consider the following formula and perform the following algebraic operations:

(i) $x^{2} + y^{2} + 4\cdot x - 6\cdot y - 36 = 0$ Given

(ii) $x^{2} + 4\cdot x + y^{2} - 6\cdot y - 36 = 0$ Commutative Property

(iii) $(x^{2} + 4\cdot x + 4) - 4 + (y^{2} - 6\cdot y + 9) - 9 -36 = 0$ Modulative/Associative Property/Additive Inverse Existence

(iv) $(x+ 2)^{2} - 4 + (y - 3)^{2} - 9 - 36 = 0$ Perfect Trinomial Square

(v) $(x+2)^{2} +(y-3)^{2} = 4 + 9 + 36$ Commutative Property/Compatibility with Addition/Additive Inverse Existence/Modulative Property

(vi) $(x+2)^{2} + (y-3)^{2} = 49$ Definition of Addition/Result

False, to begin converting the equation to standard form, each side must be added by 36.

2) True, step (iii) on exercise 1) indicates that both side must be added by 4.

3) The general equation for a circle centered at (h, k) is of the form:

$(x-h)^{2}+ (y-k)^{2} = r^{2}$

Where $r$ is the radius of the circle.

By direct comparison, it is evident that circle is centered at (-2,3).

True, step (vi) on exercise 1) indicates that center of the circle is at (-2, 3).

4) False, step (vi) on exercise 1) indicates that the center of the circle is at (-2, 3), not in (4, -6).

5) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

6) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

5 0

3 years ago

Read 2 more answers