Step-by-step explanation: Given that a school wants to put on a dance recital. The programs of Middle school dancer will be short of 4 minutes each and programmes of High school performers will be long of 7 minutes each.

Number of middle school dances is "M" and number od high school dances is "H".

Since there cannot be more than 10 dances all together, so fisrt inequality can be written as

$\textup{M}+\textup{H}\leq 10.$

Also, the entire recital must take maximum 90 minutes, so the second inequality can be written as

$4\textup{M}+7\textup{H}\leq 90.$

Thus, the pair of inequalities is

$\textup{M}+\textup{H}\leq 10,\\\\4\textup{M}+7\textup{H}\leq 90.$

6 0

3 years ago

The average summer vacation costs $2252. If 82% of this amount is charged on credit cards, then what amount of the vacation cost

expeople1 [14]

Answer: $1846.64

Step-by-step explanation:

Given : The average summer vacation costs $2252.

If 82% of this amount is charged on credit cards, then the amount of the vacation cost is charged will be :-

$82\%\text{ of }\$2252\\\\\text{Convert percent into fraction by dividing it by 100, we get}\\\\=\$[\dfrac{82}{100}\times2252]\\\\=\$[\dfrac{184664}{100}]\\\\=\$1846.64$

Therefore the amount of the vacation cost is charged= $1846.64

3 0

3 years ago

A class consists of 55% bots and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% o

oksian1 [2.3K]

Answer:

0.1575

Step-by-step explanation:

Probability of picking a girl is 0.45 and probability of a girl scoring A is 0.35.

Therefore probability of a girl scoring A is 0.45*0.35=0.1575

8 0

3 years ago