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Firdavs [7]
3 years ago
9

Joes age (j) is half Martha’s (m). Combined, their age is 42. What are their ages?

Mathematics
1 answer:
svp [43]3 years ago
5 0

Answer:

Joe is 14.

Martha is 28.

Step-by-step explanation:

Use the variables and information from the question to make equations.

If Joe's age is half Martha's:

(1/2)m = j     OR     2j = m

If their ages combined is 42:

m + j = 42

We can substitute the equation m=2j into equation m + j = 42, replacing "m".

m + j = 42    Substitute m for 2j

2j + j = 42     Combine like terms, terms with same varables

3j = 42     Divide both sides by 3 to isolate j

j = 14       Joe's age

Since j = 14, we can substitute it into equation m=2j to find "m".

m = 2j       Substitute j for 14

m = 2(14)     Simplify

m = 28       Martha's age

Therefore Joe is 14 and Martha is 28.

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<h2>40 % of coins are pennies.</h2>

Step-by-step explanation:

Total number of coins = 600

Total number of pennies = 240

\texttt{Percentage of the coins are pennies=}\frac{\texttt{Total number of pennies}}{\texttt{Total number of coins}}\times 100\\\\\texttt{Percentage of the coins are pennies=}\frac{240}{600}\times 100\\\\\texttt{Percentage of the coins are pennies=}\frac{240}{6}\\\\\texttt{Percentage of the coins are pennies=}\frac{120}{3}\\\\\texttt{Percentage of the coins are pennies=}40\%

40 % of coins are pennies.

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3 years ago
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2 years ago
Triangle DEF, shown below, is reflected over the y-axis to form triangle D'E'F'. What are
vovikov84 [41]

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(-6, -4).

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When you reflect coordinates over the y-axis, the x-coordinates remain the same, but the y-coordinates become their additive inverse.

The original coordinates for F are (6, -4).

The new coordinates for F would be F' (-6, -4).

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2 years ago
Simplify (4.5)(5)(−2).<br><br> 45<br> 4.5<br> −4.5<br> −45
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-45

Step-by-step explanation:

(4.5)(5)(-2)=-45

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3 years ago
Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh
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Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e^{0.0205t}    (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 =  p = 130e^{0.0205(29)}

p = 130e^{0.5945}

p =130(1.81212465608)=235.57620529\approx236

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

300 = 130e^{0.0205t}

2.3077= e^{0.0205t} (Divide both sides by 130)

Taking Natural log on both sides,

\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}

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Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

6 0
3 years ago
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