Name an angle D) 130°

You and a group of 7 friends go out for pizza. One large pizza and 3 medium drinks cost $21.96. One large pizza and 6 medium dri

Doss [256]

Answer:

Step-by-step explanation:

x = cost of drink

y = total cost

First information: "one large pizza and 3 medium drinks cost $21.96":

3a + b = 21.96

Second information: "one large pizza and 6 medium drinks cost $30.93":

6a + b = 30.93

{3a + b = 21.96

{6a + b = 30.93

{- 3a - b = - 21.96

{6a + b = 30.93

3a = 8.97

a = 2.99

3a + b = 21.96

3•2.99 + b = 21.96

8.97 + b = 21.96

b = 21.96 - 8.97

b = 12.99

Each drink costs $2.99 and each pizza costs $12.99. The linear function rule is:

y = 2.99x + 12.99

I hope I've helped you.

8 0

3 years ago

Solve x(x-1) (X-5) <=O

lara [203]

Answer:

x <= 0 or 1 = < x <= 5.

Step-by-step explanation:

First we find the critical points:

x(x - 1)(x - 5) = 0

gives x = 0, x = 1 and x = 5.

Construct a Table of values:

x < 0 x = 0 0< x < 1 1 =< x <= 5 x = 5

x <0 0 >0 <0 0

x - 1 <0 -1 >0 <0 0

x - 5 < 0 0 > 0 <0 0

x(x-1)(x-5) < 0 0 >0 <0 0

So the answers are x =< 0 or 1 =< x <= 5.

8 0

3 years ago

Karan and Preeti are sharing a packet of sweets in the ratio of 2:3 .If the total sweets is 50,how many sweets will Preeti get

Viktor [21]

Answer:

30 sweets

Step-by-step explanation:

From the above question

The ratio is given as:

Karan : Preeti

2:3

The sum of the proportion = 2 + 3 = 5

Total number of sweets = 50 sweets

The number of sweets Preeti will get is calculated as:

3/5 × 50 sweets

= 30 Sweets

Therefore, the number of sweets Preeti will get is 30 sweets

8 0

3 years ago

Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro

Vinvika [58]

Answer:

40.1% probability that he will miss at least one of them

Step-by-step explanation:

For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

0.95 probaiblity of hitting a target

This means that $p = 0.95$

10 targets

This means that $n = 10$

What is the probability that he will miss at least one of them?

Either he hits all the targets, or he misses at least one of them. The sum of the probabilities of these events is decimal 1. So

$P(X = 10) + P(X < 10) = 1$

We want P(X < 10). So

$P(X < 10) = 1 - P(X = 10)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987$

$P(X < 10) = 1 - P(X = 10) = 1 - 0.5987 = 0.401$

40.1% probability that he will miss at least one of them

7 0

3 years ago

What is the smallest six-digit number you can make that is divisible by five

Crank

it's 100000

hope this helps!! :)

3 0

3 years ago