Answer:
<em>He bought 6 hotdogs and 2 drinks</em>
Step-by-step explanation:
<u>System of Equations</u>
Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.
To solve the system of equations, we'll call the variables:
x = number of hotdogs
y = number of drinks
The first condition yields the equation:
4.50x + 2.25y = 31.50 [1]
It's also known he bought 3 times as many hotdogs as drinks, thus:
x = 3y [2}
Substituting [2] in [1]:
4.50(3y) + 2.25y = 31.50
Operating:
13.5y + 2.25y = 31.50
15.75y = 31.50
y = 31.50/15.75
y = 2
And
x = 3*2 = 6
He bought 6 hotdogs and 2 drinks
Answer:
4
Step-by-step explanation:
Slope refers to the steepness of the line.
Slope is equal to change in value of y divided by change in value of x.
The slope of the secant line is given by
.
Given points are 
So, slope of the secant line is 
(i) At x = 4.9,

(ii) At x = 4.99,

(iii) At x = 4.999,

(iv) At x = 4.9999,

(v) At x =5.1,

(vi)
At x = 5.01,

(vii) At x = 5.001,

(viii) At x = 5.0001,

(b)
Slope of the tangent line is 4.
Answer:
probability the student plays both instruments is [
]
<h2>
<u>
Explanation</u>
:</h2>
students who play both instruments = total students - flute players - piano players - students who play neither instruments
students who play both instruments
→ 31 - 4 - 14 - 7
→ 6 students play both instruments.
probability:
<h2>→

</h2><h2>→

</h2>
The labeled point in which it will be rotated around
Answer:
The mean amount spent = £14.80
The modal product is hoodies.
Step-by-step explanation:
Here
25 T shirts each costing £10 were purchased
Amount spent on T shirts = 25 × 10 = £250
30 key ring of £5 were purchased
Amount spent on key ring = 30 × 5 = £150
40 Hoodies for £25 each
Amount spent on Hoodies = 40 × 25 =£1000
30 CD's for £15 each
Amount spent on CD's = 30 ×15 = £450
Total amount spent = 250 +150 + 1000 + 450 = £1850
Total items purchased = 25 + 30 + 40 + 30 = 125
Mean amount spent = 
The modal product is Hoodies as the maximum number of hoodies were purchased.