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2 years ago

The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number

Mathematics

1 answer:

natima [27]2 years ago

8 0

Answer:

The larger number is 96.

Step-by-step explanation:

$let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96$

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AlladinOne [14]

Answer:

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Step-by-step explanation:

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3 years ago

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rusak2 [61]

The price of each caramel macchiato is $5.60

What is the correct function in this case?

The appropriate function is the one that considers the initial amount of $35 , the amount spent for 5 caramel macchiatos, and the balance left which is $7 after the purchase

This means the $35 minus the amount spent equals $7

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3 years ago

Many non-profit groups ask for donations during December. Do men give higher monetary donations than women in the month of Decem

Lelu [443]

Answer:

For this case we want to test if do men give higher monetary donations than women in the month of December (alternative hypothesis) and the complement should be the null hypothesis. So then the sytem of hypothesis are:

Null hypothesis: $\mu_m -\mu_w \leq 0$

Alternative hypothesis : $\mu_m -\mu_w >0$

So then the best option would be:

d. Ha: mum -muw > 0

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

Null hypothesis: $\mu_m -\mu_w \leq 0$

Alternative hypothesis : $\mu_m -\mu_w >0$

So then the best option would be:

d. Ha: mum -muw > 0

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3 years ago