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anygoal [31]
2 years ago
14

Solve the equation 1/8(p + 24) = 9

Mathematics
2 answers:
Sedbober [7]2 years ago
7 0

Answer:

p=48

Step-by-step explanation:

GuDViN [60]2 years ago
3 0
THE ANSWER IS: p=48

distribute the 1/8 to get 1/8p+3=9
subtract 3 from both sides to get 1/8p=6
multiply both sides by 8 to get p=48

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Express the product of (1/5x + 1) and (1/6x + 5/4) as a trinomial in simplest form
Greeley [361]
(\frac{1}{5}x+1)(\frac{1}{6}x+\frac{5}{4})

Use distributive property to remove the parentheses:

(a+b)(c+d)=ac+ad+bc+bd\begin{gathered} =\frac{1}{5}x*\frac{1}{6}x+\frac{1}{5}x*\frac{5}{4}+1*\frac{1}{6}x+1*\frac{5}{4} \\  \\ Multiplication\text{ }of\text{ }fractions: \\ \frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d} \\  \\ =\frac{1}{30}x^2+\frac{5}{20}x+\frac{1}{6}x+\frac{5}{4} \\  \\ =\frac{1}{30}x^2+\frac{1}{4}x+\frac{1}{6}x+\frac{5}{4} \\  \\ Addition\text{ }of\text{ }fractions: \\ \frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd} \\  \\ =\frac{1}{30}x^2+(\frac{6x+4x}{24})+\frac{5}{4} \\  \\ =\frac{1}{30}x^2+\frac{10}{24}x+\frac{5}{4} \\  \\ Simplify: \\ =\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4} \end{gathered}Then, the product in the simplest form is:\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4}

8 0
1 year ago
If x and y are two supplementary angles whereas m
Rudiy27

Answer:

110degrees

Step-by-step explanation:

Complete question

Q4: If x and y are two supplementary angles whereas m<x=70 then find the m<y.

The sum of two supplementary angles is 180degrees, hence;

m<x + m<y = 180

70 + m<y = 180

m<y = 180 - 70

m<y = 110degrees

Hence the measure of ,=m<y is 110degrees

5 0
2 years ago
An oblique cylinder has a radius of 8 inches and a volume of 1,024 cubic inches. Use Cavalieri’s Principle to calculate the heig
enot [183]
Remark
All Cavaliere's principle says is that a slanted cylinder (for example) has the same volume as a cylinder with perpendicular parallel lines that the cylinder is sitting on.

I little known or maybe not a well emphasized fact is that the base is the same all the way up the cylinder. The coin picture below shows that. The basic formula for a Cavaliere cylinder is the same as for an ordinary cylinder.

See picture below

Formula
V = B * H 

Sub and Solve
V = 1024
r = 8
p=3.14

V = pi*r^2 * h
1024 = 3.14*8^2 * h    combine the right side.
1024 = 3.14*64 *h       
1024 = 200.96 * h       divide by 200.96
1024/200.96 = h
You are only getting 5 inches.

None of your answers work.The conversion to meters is going to give you an even smaller number. If you add a comment, I'll come back and edit this question.

5 0
3 years ago
you have two nickels three dimes and a quarter using at least one of each coin, how many different amounts of money can you make
alexgriva [62]
5 different amount
3d 2n 1q=65cents
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8 0
3 years ago
18 necklaces made in 3 hours. so how many are made in 3 hours?
Westkost [7]

Answer: there are 18 necklaces made in 3 hours

Step-by-step explanation:

6 0
2 years ago
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