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Rina8888 [55]
3 years ago
8

A. the sum of two numbers is 52. One number is three less than quadruple the other number. What are the two numbers?

Mathematics
1 answer:
avanturin [10]3 years ago
3 0

1st number: x

2nd number: 4x - 3

(x) + (4x - 3) = 52

5x - 3 =52

5x = 55

x = 11

2nd number: 4x - 3  =  4(11) - 3   =  44 - 3   =  41

Answer: 11 and 41

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Answer:

X(16)=25.71grams

Step-by-step explanation:

let X(t) denote grams of C formed in  t mins.

For X grams of C we have:

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Amounts of A,B remaining at any given time is expressed as:

40-\frac{2}{3}Xg of A and  50-\frac{1}{3}Xg  of B

Rate at which C is formed satisfies:

\frac{dX}{dt} \infty(40-\frac{2}{3}X)(50-\frac{1}{3}X)->\frac{dX}{dt}=k(90-X)\\\therefore \frac{dX}{(90-X)^2}=kdt->\int{\frac{dX}{(90-X)^2}} \, =\int {k} \, dt  \\\therefore \frac{1}{90-X}=kt+c->90-X=\frac{1}{kt+c}\\\\X(t)=90-\frac{1}{kt+c}

Apply the initial condition,X(0)=0 ,to the expression above

0=90-\frac{1}{c} \ \ ->c=\frac{1}{90}\\\therefore\\X(t)=90-\frac{1}{kt+\frac{1}{90}} \ \ ->X(t)=90-\frac{90}{90kt+c}

Now at X(8)=15:

15=90-\frac{90}{90\times 8k+1}  \ ->75=\frac{90}{720k+1}\\k=0.0002778

Substitute  in X(t) to get

X(t)=90-\frac{90}{0.0002778t\times 90+1}\\X(t)=90-\frac{90}{0.25t+1}\\But \ t=16\\\therefore X(t)=90-\frac{90}{0.025\times16+1}\\X(t)=25.71

5 0
3 years ago
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Firdavs [7]
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Divide the area of the combined areas and the total area to find the probability of landing on a triangle.

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A = 32 square inches
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A = bh
     26 x 26
A = 676 square inches

128/676 = 0.189

There is an approximate probability of 0.19 of hitting a triangle.
6 0
3 years ago
Read 2 more answers
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ss7ja [257]

Answer:

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Step-by-step explanation:

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Answer:

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Here are some steps to help you

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Step-by-step explanation:

brainly.com/question/15224194

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