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alina1380 [7]
4 years ago
10

Work out the following questions ​

Mathematics
2 answers:
Schach [20]4 years ago
7 0

Answer:

as follow

Step-by-step explanation:

a

\frac{2}{7}  \div  \frac{3}{4}  =  \frac{2}{7}  \times  \frac{4}{3}  =  \frac{8}{21}

b

\frac{5}{9}  \div  \frac{5}{1}  =  \frac{5}{9}  \times  \frac{1}{5}  =  \frac{1}{9}

Klio2033 [76]4 years ago
4 0

Step 1. Turn the second fraction (the one you want to divide by) upside down

(this is now a reciprocal).

Step 2. Multiply the first fraction by that reciprocal

Step 3. Simplify the fraction (if needed)

Example:

1/2  ÷   1/6

Step 1. Turn the second fraction upside down (it becomes a reciprocal):

1/6 becomes  6/1

Step 2. Multiply the first fraction by that reciprocal:

(multiply tops ...)

1/2 ×  6/1  =   1 × 6/2 × 1  =   6/2

(... multiply bottoms)

 

Step 3. Simplify the fraction:

6/2  =  3

This is how you divide fractions. Now try it your self!

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Consider the table representing an exponential function.
Gnesinka [82]

Answer: f(x) is just a fancy way of writing y in an equation

Step-by-step explanation:

Example: f(x)= 2x+4 is the same as y= 2x+4

8 0
3 years ago
The object on the right is made from a square-based pyramid joined to a cuboid.
spayn [35]

Answer:

Density of steel = 80.73 gm/cm^3

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

V_{Cuboid} = l \times w \times h

V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3

Density of Wood , D_{Cuboid}= 0.68g/cm^3

We know that formula of Density is:

Density = \dfrac{Weight}{Volume}

D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}

Putting the values:

W_{Cuboid} = 324 \times 0.68 = 220.32\ gm

Total weight = W_{Cuboid} + W_{Pyramid}

970 = 220.32 + W_{Pyramid}

W_{Pyramid} = 749.68 gm

Volume of pyramid is given as:

V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}

Base is a square with side 6 cm

V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3

Density of Steel/Pyramid:

D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3

5 0
4 years ago
Pls helppp meee its due in 2:30 pm may 18 help!
algol [13]

Answer:

534

Step-by-step explanation:

1068 ÷ 2 = 534

Have a good day :)

6 0
3 years ago
Through (2,0) slope = -5/3 write the slope intercept of the equation
babunello [35]

For this case we have that the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

In this case we have the following data:

m = - \frac {5} {3}\\(x, y) :( 2,0)

Then, the equation is of the form:

y = - \frac {5} {3} x + b

We find "b" replacing the point:

0 = - \frac {5} {3} (2) + b\\0 = - \frac {10} {3}\\b = \frac {10} {3}

Thus, the equation is:

y = - \frac {5} {3} x + \frac {10} {3}

Answer:

y = - \frac {5} {3} x + \frac {10} {3}

8 0
3 years ago
Read 2 more answers
The larger of two numbers is 7 times the smaller number. 3 times the larger number is 7 more than 4 times the smaller number. Fi
zhenek [66]
So the larger number is x, and the smaller number is y
7y=x
3x=7+4y

(So plug in the 7y=x information into the second equation)

3(7y)=7+4y
21y=7+4y
17y=7
y=7/17
5 0
3 years ago
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