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Anit [1.1K]
3 years ago
11

Three points, Q, R, and S, lie on the same line such that R lies between Q and S. Find QS if RS = 19 and QR = 32

Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Answer:

QS=51

Step-by-step explanation:

It was given that RS = 19 and QR =32

QS=x

Q-R was measured and found to be 32

R-S was measured and found to be 19

Q-S will be the sum of Q-R and R-S which is 32+19= 51

QS=51

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How do you solve 3 x 3 1/3
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Answer:

10

Step-by-step explanation:

Turn 3 1/3 into an improper fraction.

(3*3) + 1 = 10/3    so 10/3 is the same as 3 1/3

Turn the 3 into an improper fraction of 3/1

Now multiply 10/3 * 3/1  multiplying straight across: 10*3/3*1=30/3=10

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A survey asked students to choose their favorite social networking website. The results are shown in the table.
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Adult tickets to a play cost $24. Tickets for children cost $18. Tickets for a group of 13 people cost $282. Write and solve a s
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3 years ago
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Find 1/9 of 3/4 of 24
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3 years ago
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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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