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3 years ago

Evaluate the expression. [(8 x 7) – 2): 9

Mathematics

1 answer:

frozen [14]3 years ago

6 0

Answer:

☑ Answer is 6

Step-by-step explanation:

${ \tt{ \{(8 \times 7) - 2 \} : 9}} \\ = { \tt{(56 - 2) :9 }} \\ = { \tt{54 :9 }}$

» But this is a ratio, so it can be expressed in terms of fractions:

$= { \tt{ \frac{54}{9} }} \\$

» Divide both the denominator and numerator by 9:

${ \tt{ = \frac{54 \div 9}{9 \div 9} }} \\ \\ = { \tt{ \frac{6}{1} }} \\ \\ = 6$

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Pencils are sold in boxes of 10 Erasers are sold in boxes of 14 A teacher wants to buy the same number of pencils and erasers wo

Neko [114]

Answer:

7 boxes of pencils and 5 boxes of erasers.

Step-by-step explanation:

The least common denominator of these two numbers are 70. 7×10 and 14×5. So she is purchasing the same quantity of both.

8 0

3 years ago

The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 fe

LuckyWell [14K]

Th=Ukn
Ts=27
Fh=5
Fs=4.5
x/27=5/4.5
x=30
The tree is 30 feet tall.

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3 years ago

Read 2 more answers

A circle has a circumference of 138.16 meters. What is the diameter of the circle ?

Neporo4naja [7]

circumference = 2 π r
138.16 = 2 π r
138.16/2π = 2π/2π r
21.98884694 =r
Diameter = r X 2
Diameter = 21.98884694 X 2
Diameter = 43.97769388

7 0

3 years ago

What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square

geniusboy [140]

Answer:

$x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

A quadratic can generally be expressed as: $y=ax^2+bx+c$

So using the equation you gave: $0=x^2-5x-1$

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

$x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

5 0

2 years ago

A jet travels 530 miles in 5 hours. What is the speed (unit rate) at which the jet traveled? How far can the jet go in 12 hours?

Citrus2011 [14]

Answer:

unit rate is 106 miles per hour and it can go 1272 miles in 12 hours

Step-by-step explanation:

-divide 530 by 5 and you get 106 miles an hour.

-then multiply 106 by 12 to get 1272 miles an hour.

7 0

3 years ago

Evaluate the expression. [(8 x 7) – 2): 9​

Evaluate the expression. [(8 x 7) – 2): 9