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2 years ago

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A group of 3 children and 2 adults pay a total of $120 to take a karate class. A group of 5 children and 1 adult take the same k

arate class for $95.

1 answer:

sleet_krkn [62]2 years ago

8 0

Answer:

215

Step-by-step explanation:

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The cost, £C, of hiring a lorry to travel n miles is given by

zysi [14]

Part A:
C= a + bn

Make the two equations out of the words:
82 = a + b100 * 2.5 = 205 = a + b250
157 = a+ b250

Subtract the two,
205 = a + b250
- ( 157 = a + b250)
48 = a

Find b by substituting in a:
82 = a + b100
82 = 48 + b100
34 = b100
b = 0.34
Answer for part a: a = 48 , b = 0.34

Part B:
C = a +bn <- when n = 300 , put in a and b, then solve
C = 48 + 0.34(300)
C = 48 + 102
C = 150

Cost when hiring a lorry to travel 300 miles is 150 pounds

7 0

3 years ago

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One step equations with fractions

nirvana33 [79]

Answer:

10. cross multiply

7x=28×9

7x=252

x=36

12. cross multiply

2x=12×3

2x=36

x=18

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3 years ago

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Evaluate the expression when a= 1/4 and b = 6.<br> 16a2 – 4b=

Degger [83]

Step-by-step explanation:

HERE,

a= $\bold{\dfrac{1}{4} }$

b=6

so,

<u>According</u><u> </u><u>to</u><u> </u><u>the question</u><u>, </u>

$\bold{16a^2-4b }$

$\bold{16\times(\dfrac{1}{4})^2-4\times 6 }$

$\bold{ 16\times \dfrac{1}{16}-24 }$

$\bold{\cancel{16}\times \dfrac{1}{\cancel{16}}-24 }$

$\bold{1-24 }$

$\bold{ -23 }$

3 0

3 years ago

Can someone please help me with this!!

NeTakaya

Step-by-step explanation:

(-5, - 12) lies on the terminal side of angle $\theta$

$\therefore \: ( - 5 \: - 12) = (x \: y) \\ r = \sqrt{ {x}^{2} + {y}^{2} } \\ = \sqrt{ {( - 5)}^{2} + {( - 12)}^{2} } \\ = \sqrt{25 + 144} \\ = \sqrt{169} \\ r= 13 \\ \\ \sin \theta = \frac{y}{r} = - \frac{12}{13} \\ \\ \cos \theta = \frac{x}{r} = - \frac{5}{13} \\ \\ \tan \theta = \frac{y}{x} = \frac{ - 12}{ - 5} = \frac{12}{5} \\ \\ \csc \theta = \frac{r}{y} = - \frac{13}{12} \\ \\ \sec \theta = \frac{r}{x} = - \frac{13}{5} \\ \\ \cot \theta = \frac{x}{y} = \frac{ - 5}{ - 12} = \frac{5}{12}$

6 0

3 years ago

PLEASE HELP <br>31 , 32, 33, 34, 35<br>

Readme [11.4K]

Use this app called photo math

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2 years ago

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