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vagabundo [1.1K]

3 years ago

9

at a concession stand, one person purchased 3 drinks a 3 soft pretzels for a total of $9.00. another person purchased 4 drinks a

nd 2 soft pretzels for a total of $8.50. what was the price of one soft pretzel

1 answer:

gavmur [86]3 years ago

5 0

<span>d=drinks
p=pretzels
1st eq. 3d+3p=9.00
2nd eq. 4d+2p=8.50</span>

multiply 1st eq by 2

6d+6p=18.00

<span>multiply 2nd eq by 3
12d+6p=25.50
subtract
-6d=-7.50
d=1.25
3p=9.00-3d</span>

3p=9-3.75

<span>3p=5.25
p=1.75
price a pretzel=$1.75</span>

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Please help. WIll give brainliest if you explain

Eddi Din [679]

The answer to 2 is <span>√30/5 or 1.09545

First, you multiply the numerator and denominator by </span>√5.
√6x<span>√5=√30
</span>√5x<span>√5=5 (when a square root of an expression is multiplied by itself, the result is that expression) Therefore, the answer is </span><span>√30/5 or 1.09545
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5 0

3 years ago

An education firm measures the high school dropout rate as the percentage of 16 to 24 year olds who are not enrolled in school a

posledela

Answer:

The value of the test statistic $z = -0.6606$

Step-by-step explanation:

From the question we are told that

The high dropout rate is $\mu = 6.1$ % $= 0.061$

The sample size is $n = 1000$

The number of dropouts $x = 56$

The probability of having a dropout in 1000 people $\= x = \frac{56}{1000} = 0.056$

Now setting up Test Hypothesis

Null $H_o : p = 0.061$

Alternative $H_a : p < 0.061$

The Test statistics is mathematically represented as

$z = \frac{\= x - p}{\sqrt{\frac{p(1 -p)}{n} } }$

substituting values

$z = \frac{0.056 - 0.061}{\sqrt{\frac{0.061(1 -0.061)}{1000} } }$

$z = -0.6606$

6 0

3 years ago

4. Determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

Ierofanga [76]

Answer:

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

Step-by-step explanation:

Given

Given that the function f(x) and g(x) are inverse functions.

$f\left(x\right)\:=\:\frac{1}{3}x\:+\:5$

$g(x) = 3x - 15$

To determine

Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

<u>Determining the inverse function of f(x) </u>

A function g is the inverse function of f if for y = f(x), x = g(y)

$y=\frac{1}{3}x+5$

Replace x with y

$x=\frac{1}{3}y+5$

Solve for y

$y=3x-15$

Therefore,

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

4 0

3 years ago

A= (4,5) B= (7,-9) what is AB ?

VMariaS [17]

If you are needing to find the distance between the two points, you must use a simple formula, cleverly named, the distance formula. Since I can't input special characters into the answer box, I'll explain it the best I can.

( The square root of ( (x - x)^2 + (y - y)^2 ) )

First, we need to find the first x subtracted from the second x, as so:
(4,5) and (7,-9)

4 - 7 = -3

Now, we square the -3.

-3^2 =
-3 * -3 = 9

Next, we have to find the first y subtracted from the second y.
(4,5) and (7,-9)

5 - (-9) = 14

Now, we square the 14.

14^2 =
14 * 14 = 196

Let's see how the numbers fit in the formula:

sqrt((x - x)^2 + (y - y)^2)

sqrt((4 - 7)^2 + (7 - (-9))^2)

sqrt((-3)^2 + (14)^2)

sqrt( 9 + 196 )

This is where we currently are in the formula, all we have to do now is square root the total of 9 + 196.

sqrt( 9 + 196 )
sqrt( 205 )

The square root of 205 = 14.31782106...

There are a few answers you can consider:

1) sqrt(205)
2) 14.32 units
or
3) 14.31782106

Depending on the answer you desire, use the one that sounds the most correct to you. Although all three are correct, it may not be the answer you require.

Hope I could help! If my math is incorrect, or I provided answers you were not looking for, please let know! However, if my answer is correct and well explained, please consider marking my answer as <em>Brainliest</em>! :)

Have a good one.
God bless!

4 0

4 years ago

A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?

Marina86 [1]

Answer:

The other side = $\frac{1}{12}$ units

Step-by-step explanation:

A right triangle has a side of length $\frac{1}{4}$ units and;

the hypotenuse is $\frac{1}{3}$

According to Pythagorean theorem,

a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.

Lets say a² = $(\frac{1}{4}) ^2$ and c² = ( $(\frac{1}{3} )^2$

b² = c² - a²

b² = $\frac{1}{9}$ - $\frac{1}{16}$ = $\frac{1}{144}$

So b = $\sqrt{1/144}$ = $\frac{1}{12}$ units.

So the other side = $\frac{1}{12}$ units.

5 0

3 years ago