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Naya [18.7K]
3 years ago
15

3 ounces of perfume for $99, 8 ounces for x

Mathematics
1 answer:
marusya05 [52]3 years ago
6 0

Answer:

Step-by-step explanation:

$99÷3=$33 per ounce

8 x $33 = 264

x = $264

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On a sunny day, a 4-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby
son4ous [18]

Answer:

16 feet

Step-by-step explanation:

Set up a proportion where x is the height of the tree:

\frac{4}{5} = \frac{x}{20}

Cross multiply and solve for x:

5x = 80

x = 16

So, the tree is 16 feet tall

8 0
3 years ago
Andrew
PilotLPTM [1.2K]
Let's say Bailey takes "b" days to paint it.

and Andrew takes "a" days to paint the same house.

now, Andrew is 6 times faster than Bailey, therefore, if Andrew takes "a" days to do it, Bailey takes then "6a" days, or b = 6a.

now, the year they worked together, they finished it in 7 days.

so, after 1 day then, they have only done 1/7 of the whole work.

and Andrew for one day, has done 1/a of the house, whilst Bailey has done 1/b of the house or 1/(6a).

\bf \stackrel{\textit{Andrew's rate}}{\cfrac{1}{a}}+\stackrel{\textit{Bailey's rate}}{\cfrac{1}{b}}=\stackrel{\textit{1 day of work}}{\cfrac{1}{7}}
\\\\\\
\cfrac{1}{a}+\cfrac{1}{6a}=\cfrac{1}{7}\impliedby 
\begin{array}{llll}
\textit{let's multiply all by }\stackrel{LCD}{42a}\textit{ to toss the}\\
denominators
\end{array}

\bf 42a\left( \cfrac{1}{a}+\cfrac{1}{6a} \right)=42a\left( \cfrac{1}{7} \right)\implies 42+7=6a\implies \cfrac{49}{6}=a
\\\\\\
\stackrel{days}{8\frac{1}{6}}=a
\\\\\\
\textit{how many days will it take Bailey then?}\quad b=6a
\\\\\\
b=6\cdot \cfrac{49}{6}\implies b=\stackrel{days}{49}
6 0
3 years ago
A is the point with coordinates (3,8) b is the point with coordinates (x,13) the gradient of an is 2.5 .work out the value of x
Solnce55 [7]

Answer:

x = 5

Step-by-step explanation:

The formula for the gradient is given by:

m = (y2 - y1)/(x2 - x1), where two points (x1, y1) and (x2, y2) are given.

Thus if we have a gradient of 2.5 and two points (3, 8) and (x, 13), we can substitute this into the above formula for the gradient to get:

2.5 = (13 - 8)/(x - 3)

2.5(x - 3) = 5 (Multiply both sides by (x - 3))

x - 3 = 2 (Divide both sides by 2.5)

x = 5 (Add 3 to both sides)

Thus, the value of x is 5.

7 0
3 years ago
What is the quotient of 35, 520 ÷ 96?
Verdich [7]

Answer:

Hey there the answer is 370

Step-by-step explanation:

3 0
3 years ago
55% of 19.6 is what number?
tiny-mole [99]
10.78 is the answer.
19.6 x .55
3 0
3 years ago
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