2 years ago

Write a proportion for each of the diagrams below and solve for the missing value.

Mathematics

1 answer:

Arada [10]2 years ago

8 0

Answer:

x=7.5

Step-by-step explanation:

$\frac{8}{5} =\frac{12}{x}$

$8x=60$

$x=7.5$

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If i get 20 dollars per 5 minutes for 10 hours how many dollars will i make

rewona [7]

Answer:

2400 dollars

Step-by-step explanation:

600 minutes in 10 hours

600/5 = 120

120*20 = 2400 dollars

4 0

3 years ago

Mia can purchase a 40-ounce jar of peanut Butter for $5.20 or a 15-ounce har for $2.70. How much does Mia save per ounce by usin

Reptile [31]

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2 years ago

(1/4)^3z-1 =16^z+2*64^z-2<br><br> Z=___<br><br> Please help

wariber [46]

Answer:

Z = 0.198877274

Step-by-step explanation:

$(\frac{1}{4})^{3z-1} = 16^z + 2*16^{z-2}\\4^{1-3z} = 4^{2z} + 4^{\frac{1}{2}}*4^{2z-4}\\4^{1-3z} = 4^{2z} + 4^{2z-4+\frac{1}{2}}\\4^{1-3z} = 4^{2z} + 4^{2z-\frac{7}{2}}\\4^{1-3z} = 4^{2z} *(1+ 4^{-\frac{7}{2}})\\4^{1-3z} = 4^{2z} *(1+ 2^{-7})\\4^{1-3z} = 4^{2z} *(1+ \frac{1}{128} )\\4^{1-3z} = 4^{2z} *(\frac{129}{128} )\\Taking\;\; Logarithm\;\; with\;\; base\;\; 4\\Log_4(4^{1-3z}) = Log_4(4^{2z}) + Log_4(\frac{129}{128})\\1-3z = 2z + 0.005613627712 \\5z = 0.994386372\\z = 0.198877274$