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3 years ago

I need help with number 40 and 41 please, lots of points!!!

Mathematics

2 answers:

levacccp [35]3 years ago

8 0

#40: There are 40 people in the youth group. If you multiply 5 and 8 by 5 it equals 25/40 (the number going on the ski trip)

Thepotemich [5.8K]3 years ago

4 0

<h2>Q41 - using equations</h2>

Let y be the price of a basketball.

y+1.5y=37.70 (a basketball plus a football costs 37.70)

2.5y=37.70

y=15.08

The basketball costs $15.08.

Since the football is 2y, it costs $30.16.

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A conveyor belt carries supplies from the first floor to the second floor, which is 26 feet higher. The belt makes a 60° angle w

tamaranim1 [39]

<h3>Answer:</h3>

30 ft; 0.4 min

<h3>Step-by-step explanation:</h3>

The mnemonic SOH CAH TOA reminds you ...

... Sin = Opposite/Hypotenuse

Here, the angle of elevation is opposite the triangle side representing the distance between floors. The hypotenuse is the length of the conveyor belt. Rearranging the formula (by muliplying by Hypotenuse/Sin), we get ...

... Hypotenuse = Opposite/Sin

Filling in the values from this problem, we have ...

... length of conveyor = (26 ft)/sin(60°) ≈ 30 ft

The time it takes to travel that distance is given by ...

... time = distance/speed

... time = (30 ft)/(75 ft/min) = 2/5 min = 0.4 min

3 0

3 years ago

Kuta Software - Infinite Algebra 2 Name Systems of Two Equations Date Solve each system by graphing. 1) y=-3x + 4 y= 3x - 2 2) y

gogolik [260]

Answer:

Solution of the system of equations: (1, 1)

x = 1, y = 1

Explanation:

Given the below system of equations;

$\begin{gathered} y=-3x+4 \\ y=3x-2 \end{gathered}$

Note that the slope-intercept form of the equation of a line is given as;

$y=mx+b$

where m = slope of the line

b = y-intercept of the line

Comparing the given system of equations with the slope-intercept equation, we can see that, for the 1st equation (y = -3x + 4), the slope(m) = -3 and y-intercept(b) = 4 and for the 2nd equation, slope(m) = 3 and y-intercept(b) = -2.

Knowing the above information, let's go ahead and graph the system of equations;

From the above graph, the point of intersection of the two lines (1, 1) is the solution of the system of equation.

5 0

1 year ago

Read 2 more answers

The Director of Admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

VMariaS [17]

Answer:

Variance = 24900

Standard Deviation = 157.7973

Step-by-step explanation:

We are given the following in the question:

Number of admissions: 1000 1200 1500

Admissions Probability: 0.6 0.3 0.1

Formula:

$E(x) = \displaystyle\sum x_iP(x_i)\\E(x) = 1000(0.6) + 1200(0.3) + 1500(0.1)\\E(x) = 1110\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\E(x^2) = (1000)^2(0.6) + (1200)^2(0.3) + (1500)^2(0.1)\\E(x^2) = 1257000$