MATHEMATICS HIGH SCHOOL

What is the product? 5/3*10/3a. 23/6
b. -5/7
c. -7/5
d. 5/3

Simplify the expression. (8 + 7a) + 4
a. 12 + 11a
b. 19a
c. 8 + 11a
d. 12 + 7a

Answers

Answer 1
Answer: (5)/(3) * (10)/(3) \n \n (5 * 10)/(3 * 3) \n \n (50)/(3 * 3) \n \n (50)/(9) \n \n 5 (5)/(9) \n \n Answer: \fbox {5 5/9} \ or \ \fbox {5.5556} \n \n ----------- \n \n (8 + 7a) + 4 \n \n 8 + 7a + 4 \n \n 7a + 12 \n \n Answer: \fbox {12 + 7a}
Answer 2
Answer: (5/3)(10/3)

=(5/3)(10/3)

=(5)(10)
--------
(3)(3)

=50/9 (~5.6)

..........


Let's simplify step-by-step.

(8+7a)+4

Combine Like Terms:

=8+7a+4

=(7a)+(8+4)

=7a+12

Answer:

=7a+12 (d.)

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Kelly is saving her money to buy a car. She has $250, and she plans to save $75 per week from her job as waitress.a. Model the situation using an arithmetic sequence.

b. How much will kelly have saved after 8 weeks?

c. If the car costs $2000, how long will it take her to save enough money at this rate?


Please someone help me.

Answers

so she is essentially saving 250+n*75, where n is the number of weeks.


after 8 weeks she will have 250+8*75,  (you need to substitute n for the number of weeks, which is 8)

which is
250+600=850

how many more does she need for  a car?
she is still missing 2000-850, that is 1150. divide it by 75: it's a little more than 15: so she actually needs to save for 16 weeks after she's been saving for 8, that's a total of 24 weeks.


so in total it will take her 24 weeks (and she will have  a little extra).

N^2-5n=3
Round to the nearest hundredth

Answers

Let's solve your equation step-by-step.n2−5n=3Step 1: Subtract 3 from both sides.n2−5n−3=3−3n2−5n−3=0Step 2: Use quadratic formula with a=1, b=-5, c=-3.n=−b±√b2−4ac2an=−(−5)±√(−5)2−4(1)(−3)2(1)n=5±√372n=52+12√37 or n=52+−12√37Answer:n=52+12√37 or n=52+−12√37

The distance between two places is 120 km. A car travelling at a certain speed can cover the distance in 2 hours 30 minutes. By how many km/h should the speed of the car be increased for it to take 30 minutes less to cover the distance?Don't spam!!
Step by step explanation is needed..​

Answers

Answer:

Distance between two places=120 km

Step-by-step explanation:

 

Time= 2 hrs 30 min

       =(2*60)min+30min

       =120min+30min

       =150min=150/60 hr

        = 5/2 hr

Speed = distance /time

          = (120/5/2)km/hr

          =(120×2/5)km/hr

          =(240/5)km/hr

          = 48 km/hr

New time = 2 hr 30min-30min

               = 2hr

Distance =120km

Speed  = Distance /time

           =120/2 km/hr

           = 60 km/hr

Increase in speed=(60-48)km/hr  

                            =12km/hr

Another way to show :

Distance = 120km

speed=Distance/time

=120/2.5=48 km/hr

New speed=120/2=60 Km/hr

change inspeed=60-48=12km/hr

A small toy car costs $3.A large toy car costs 5 times as much as the small one.Aaron wants to buy one of each.Which equation can he use to find the cost (a) of the two cars?

Answers

Answer:$18.00

Step-by-step explanation:5×3=15

$3+$15=$18

Answer:

Step-by-step explanation:

To

A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added. If this is true (and assuming cars arriving independently), find the probability of each of the following:A. One out of the next four cars needs oil.B. Two out of the next eight cars needs oil.C. 5 out of the next 20 cars needs oil.

Answers

This question is about the concept of binomial probability distribution.

A) P(1) = 0.2916

B) P(2) = 0.1488

C) P(5) = 0.03192

  • Formula for binomial probability distribution is;

P(x) = nCx • p^(x) • q^(n - x)

Where; q = 1 - p

  • From the question, we are told that the claim is that 1 out of 10 cars need to have their oil checked.

Thus; p = 1/10 = 0.1

q = 1 - 0.1

q = 0.9

  • A) P(one out of the next four cars need oil) is;

P(1) = 4C1 × 0.1^(1) × 0.9^(4 - 1)

P(1) = 4 × 0.1 × 0.9³

P(1) = 0.2916

  • B) P(2 out of the next 8 cars needs oil) is;

P(2) = 8C2 × 0.1² × 0.9^(8 - 2)

P(2) = 28 × 0.01 × 0.531441

P(2) = 0.1488

  • C) P(five out of the next twenty cars needs oil) ;

P(5) = 20C5 × 0.1^(5) × 0.9^(20 - 5)

P(5) = 15504 × 0.00001 × 0.20589113209

P(5) = 0.03192

Read more at; brainly.com/question/24239758

Answer:

0.2916, 0.1488, 0.0319

Step-by-step explanation:

Given that a sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added.

Since each trial is independent there is a constant probability for any random car to need oil is 0.10

Let X be the number of cars that need oil

A) Here X is BIN(4,0.1)

P(X=1) = 4C1(0.1)(0.9)^3 \n= 0.2916

B) Here X is Bin (8, 0.1)

P(x=2) = 8C2 (0.1)^2 (0.9)^6\n\n=0.1488

C) Here X is Bin (20,5)

P(x=5) = 20C5 (0.1)^5 (0.9)^(15) \n=0.0319

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction

Answers

Given:
1st fraction - 7/24
2nd fraction - 34/48

Rules in dividing fractions:

1) Get the reciprocal of the 2nd fraction.
34/48 becomes 48/34

2) Multiply the 1st fraction to the reciprocal of the 2nd fraction
7/24 * 48/34 = 7*48 / 24*34 = 336/816

3) Simplify the fraction
336/816 ⇒ 112/272 ⇒ 56/136 ⇒ 14/34 ⇒ 7/17

336 ÷ 3 = 112
816 ÷ 3 = 272

112 ÷ 2 =   56
272 ÷ 2 = 136

  56 ÷ 4 =   14
136 ÷ 4 =   34

  14 ÷ 2  =     7
  34 ÷ 2 =   17

7/24 ÷ 35/48 = 7/17
7/24 ÷ 35/48

= 7/24 × 48/35.    7 into 35 is 5. 24 into 48 is 2.

= 2/5
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