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alukav5142 [94]
3 years ago
13

The sum of twice a number and 5 is less than 17

Mathematics
1 answer:
andreev551 [17]3 years ago
3 0
Sum of (twice a number) and (five) is less than 17
sum of 2x and 5 is (less than 17)
2x + 5 < 17
2x + 5 - 5 < 17 - 5
2x < 12
2x /2 < 12 /2
x < 6

Hope this helps! :)
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The digit that makes 39,9?8 divisible by 9 is
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?=7

Step-by-step explanation:

Here is a cool trick that I believe only works with 9.

Add the numbers, 3+9+9+8+x= divisible by 9.

3+9+9+7+8 is 36 which is the only number divisible by 9.

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Please help #6 asap
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c is the answer for number 6 and

Step-by-step explanation:

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Someone please help me!!! I’m stuck and need help!
denpristay [2]

Answer:

12

Step-by-step explanation:

These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.

Side AR and Side TE are corresponding. Use this proportion.

\frac{6}{8}

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6 0
3 years ago
Initially, there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 15 grams
hram777 [196]

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:

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

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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