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2 years ago

Please solve this!!!!!

Mathematics

1 answer:

vfiekz [6]2 years ago

4 0

Answer:

(1, 2 )

Step-by-step explanation:

Given the 2 equations

3x + y = 5 → (1)

5x - 4y = - 3 → (2)

Rearrange (1) expressing y in terms of x by subtracting 3x from both sides

y = 5 - 3x → (3)

Substitute y = 5 - 3x into (2)

5x - 4(5 - 3x) = - 3 ← distribute and simplify left side

5x - 20 + 12x = - 3

17x - 20 = - 3 ( add 20 to both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Substitute x = 1 into (3) for corresponding value of y

y = 5 - 3(1) = 5 - 3 = 2

Solution is (1, 2 )

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One apple and three oranges cost $5.10 and another 5 oranges and one Apple cost $7.50 what is the price of one apple and one ora

alekssr [168]

Answer:

$2.7

Step-by-step explanation:

Let the price of one apple be x

and the price of one orange y

Hence ;

One apple and 3 oranges would cost:

x + 3×y = $5.10----------------------------(1)

One apple and 5 oranges would cost;

x + 5×y = $7.50--------------------------(2)

Subtracting eqn (1) from (2), we have :

x-x + 5y -3y = 7.5- 5.1

2y = 2.4

y = $1.2

From eqn(1)

x + 3y = $5.10

x= $5.10-3($1.2) = $5.10-$3.6 = $1.5

Hence x=$1.5 and y= $1.2

We are required to find the cost of one apple and one orange, hence :

x+y = $1.5+$1.2= $2.7

4 0

3 years ago

The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.35 en

trasher [3.6K]

Answer:

a) 0.3571

b) The p-value is 0.362007.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 1.35

Sample mean, $\bar{x}$ = 1.4

Sample size, n = 26

Alpha, α = 0.01

Sample standard deviation, s = 0.7

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1.35\text{ entrees per order}\\H_A: \mu > 1.35\text{ entrees per order}$

We use One-tailed t test to perform this hypothesis.

a) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{1.4 - 1.35}{\frac{0.7}{\sqrt{25}} } = 0.3571$

b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.

4 0

3 years ago

Find the value of x.

irga5000 [103]

This is an answer of this question

3 0

2 years ago

Read 2 more answers

Divide (-3х + 4 + 18х^2 )by (5 + 6x)

Leokris [45]

Answer:

The division will be represented as:

$\frac{18x^{2}-3x+4}{6x+5}=(3x-3)+\frac{19}{6x+5}$

Step-by-step explanation:

1) Let's find a number with a variable that multiplied by 6x gives as 18x². It will be 3x, because (6x+5)3x=18x²+15x.

Now, let's subtstract:

$(18x^{2}-3x+4)-(18x^{2}+15x)=-18x+4$

2) Let's find a number with a variable that multiplied by 6x gives as -18x. It will be -3, because (6x+5)(-3)=-18x-15.

Now, let's subtstract:

$(-18x+4)-(-18x-15)=19$

Therefore, the division will be represented as:

$\frac{18x^{2}-3x+4}{6x+5}=(3x-3)+\frac{19}{6x+5}$

I hope it helps you!

5 0

3 years ago

Whats he approximete value of the square root of 8

Neporo4naja [7]

Answer:

the approximate value of the square root of 8 is 2.828

8 0

2 years ago