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Sophie [7]
2 years ago
6

If 83 : 45 :: 72 : ? solve and find the answer​

Mathematics
1 answer:
olga55 [171]2 years ago
7 0

Answer: x=\dfrac{3240}{83}

Step-by-step explanation:

Given: 83 : 45 :: 72 : ?

Let unknown quantity (?) be x.

Now, x : y :: a : b

\Rightarrow\ \dfrac{x}{y}=\dfrac{a}{b}

83 : 45 :: 72 : x

\Rightarrow\ \dfrac{83}{45}=\dfrac{72}{x}\\\\\Rightarrow\ x=\dfrac{72}{83}\times45\\\\\Rightarrow\ x=\dfrac{3240}{83}

Hence, x=\dfrac{3240}{83}

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Question 1
Tanzania [10]

Answer:

Mortality rate is 0.5 per 1000 habitant

the number of deaths have increased (from 210 to 250)

Step-by-step explanation:

Hello

Mortality rate is the number of deaths in a specific population,usually expressed in units of deaths per 1,000 individuals per year

Mortality\ rate\ (S)= \frac{(D)}{(P)} *10^{n} \\\\\\\\

where

S=Mortality rate

D=deaths

P= population

n= is a conversion form ,such as multiplying by  10^{3}=1000, to  get mortality rate per 1,000 individuals( we will use n=3)

step 1

asign

S=unknown

D=250

P=500000

n=3, (for each  1000 people)

step 2

Replace

S=\frac{250}{500000}*1000\\S=\ 0.5\ per\ 1000

Mortality rate is 0.5 per 1000 habitant

step 3

what if S=0.42

S=0.42(assuming it is 0.42 per 1000,n=3)

D=unknown

P=500000

(S)= \frac{(D)}{(P)} *10^{n}\\\\isolatin D\\\\S*P=D*10^{n}\\ D=\frac{S*P}{10^{n} } \\\\and\ replacing\\\\D=\frac{(0.42)*(500000)}{10^{3} }\\\\ Deaths=210\\

the number of deaths have increased (from 210 to 250)

Have a great day

5 0
3 years ago
Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!
Mila [183]

Answer:

ΔABC ~ ΔDEF

Step-by-step explanation:

If the given triangles ΔABC and ΔDEF are similar,

Their corresponding sides will be proportional.

\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}

By substituting the measures of the given sides,

\frac{4}{2}=\frac{6}{3}=\frac{2}{1}

2 = 2 = 2

Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.

ΔABC ~ ΔDEF

8 0
3 years ago
6 7/12 - 5 2/3 I need help on this Math Promblem
inessss [21]

Answer:

11/12

Step-by-step explanation:

6 7/12 - 5 2/3

=(6-5) + (7/12 - 2/3)

= 1 + 7/12 - 2*4 / 3*4

= 1 + 7/12 - 8/12

= 1 + 7-8 / 12

= 1 + -1/12

=11/12  

8 0
3 years ago
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Point slope form of (-1,3) & (1,1)
My name is Ann [436]
-2/3

rise over run. plot the points and count.
3 0
3 years ago
Ray UW is the angle bisector of Angle VUT. If the measure of Angle VUW = (4x + 6)° and the measure of Angle WUT = (6x – 10)°, wh
Lunna [17]

Hello! :)

Answer:

\huge\boxed{38^{\circ}}

--------------------------------------------------------------------------

An angle bisector divides an angle in half, therefore:

m∠VUW ≅ m∠WUT

Set the expressions equal to each other:

4x + 6 = 6x - 10

Subtract 4x from both sides:

6 = 2x - 10

Add 10 to both sides:

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Divide 2 from both sides:

x = 8.

Substitute in the value of "x" into the equation for ∠WUT:

6(8) - 10 = 48 - 10 = 38°.

3 0
2 years ago
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