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lora16 [44]
3 years ago
8

Solve this equation graphically using table 5m-2n=4,m-4n=-1​

Mathematics
1 answer:
DerKrebs [107]3 years ago
7 0

Answer:

m = 1; n = 0.5

Step-by-step explanation:

5m - 2n = 4; m - 4n = - 1

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A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture thi
GenaCL600 [577]

Answer:

0.76m²

Step-by-step explanation:

In the above question, we are given the following information.

Radius = 0.4m

Height = 0.45m

To solve this question, The umbrella is CONICAL in shape and it has no BASE, we would be finding the lateral surface area of a cone. Since we are given height and radius :

Lateral Surface Area of a cone =

πr√(h² + r²)

= π × 0.4√(0.45² + 0.4)

= 0.7566m²

≈ Approximately = 0.76m²

Therefore, the amount of fabric needed to manufacture this umbrella is 0.76m²

8 0
3 years ago
Find a average daily rainfall for a 30 days month if the total rainfall during that period was 16.8 inches.
max2010maxim [7]

Average = 0.56 inches

Solution:

Given data: Total rainfall = 16.8 inches

Total number of days for a month = 30

To find the average of the rainfall.

Formula for average:

\text {Average}=\frac{\text {Sum of the observations}}{\text {Total number of observations}}

\text {Average}=\frac{16.8}{30}

            = 0.56 inches

Average = 0.56 inches

Hence, average of daily rainfall is 0.56 inches.

8 0
4 years ago
Solve the system below using an appropriate method.
fiasKO [112]
Using substitution:
4x+2y=12
y=8x+1

4x+2(8x+1)=12

distribute
4x+16x+2=12

combine like terms
18x+2=12

subtract 2 from both sides
20x=10

divide each side by 20
x=10/20

reduce
x=1/2

plug in x for the y= equation
y=8(1/2)+1

multiply
y=4+1

add
y=5

answer:
(1/2,5)
5 0
3 years ago
Priya has completed 9 exam questions. This is 60% of the questions on the exam. How many questions are on the exam?
USPshnik [31]

the whole exam will be 100%, and let's say that's "x" questions, but we also know that 9 is 60% of that so

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 9&60 \end{array}\implies \cfrac{x}{9}=\cfrac{100}{60}\implies \cfrac{x}{9}=\cfrac{5}{3}\implies 3x=45 \\\\\\ x=\cfrac{45}{3}\implies x=15

8 0
3 years ago
A bag contains blue and yellow marbles. Two marbles are drawn without replacement. The probability of selecting a blue marble an
exis [7]
 blue marbles
y = yellow marbles
 Sum = b+y
 The <span>chance of a blue marble being drawn first is:
b / (b+y) = 0.55 
</span>The <span>chance of a blue marble being drawn first then a yellow next is:
</span>b / (b+y) * y / (b+y-1) = 0.37
This can be solve easily by using a theorem of Bayes 
0.37/0.55 = .67 or 67%
7 0
3 years ago
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