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tia_tia [17]
2 years ago
14

Write a real-world problem that can be represented by the equation 1/2x+6=20. Then solve the problem

Mathematics
1 answer:
butalik [34]2 years ago
8 0
One-half of a number plus six will equal 20. 

Solving:
1/2x + 6 = 20
-6              -6
1/2x = 14
*2/1      *2/1
x = 28 <--Answer to problem
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Solve for x <br><br> 3(x+2)+4(x-5)=10
Natasha_Volkova [10]

Answer:

x=24/7

Step-by-step explanation:

3(x+2)+4(x-5)=10

3x+6+4(x-5)=10

3x+6+4x-20=10

7x+6-20=10

7x-14=20

7x=24

x=24/7

8 0
2 years ago
How to add 4/12 and 1 2/3
kolbaska11 [484]

Answer:

1 3/5

Step-by-step explanation: First you have to line the fractions up then you add what is under the 1 which is nothing then you add 2 and 4 and get 6 then you add 12 and 3 and get 15 then it can be simplified then you get 1 3/5

3 0
2 years ago
Read 2 more answers
Is y=5x-25 proportional
Vinvika [58]
It is proportional because we increase y.
3 0
3 years ago
Points P, Q, and S are collinear. What is m∠PQR? Straight angle P Q S is divided into 2 angles, P Q R and R Q S, by ray Q R. Ang
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

If P, Q and S are collinear, then the three points lies on the same straight line.

If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;

<P Q R + <R Q S = 180

Given

<R Q S =x+1

<P Q R = 3x-5

Substitute the given expression into the formula and calculate x;

3x-5+x+1 = 180

collect like terms

3x+x - 5+1 = 180

4x-4 = 180

4x = 180+4

4x = 184

divide both sides by 4

4x/4 = 184/4

x = 46°

To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.

m∠PQR = 3x-5

m∠PQR = 3(46) - 5

m∠PQR = 138 - 5

m∠PQR = 133°

Hence the measure of angle m∠PQR is 133°

4 0
3 years ago
A researcher claims that the average body mass index (BMI) of adult Canadians is more than 25.0. He takes a SRS of 250 Canadians
Serjik [45]

Answer:

The probability of obtaining a result equivalent to or greater than what was the truly observed value of the test statistic is 0.001.

Step-by-step explanation:

The researcher can use a one sample <em>z</em> test to determine whether his claim is correct or not.

The hypothesis to test whether the mean BMI is more than 25.0, is defined as:

<em>H₀</em>: The mean BMI is not more than 25.0, i.e. <em>μ </em>≤ 25.0.

<em>Hₐ</em>: The mean BMI is more than 25.0, i.e. <em>μ </em>> 25.0.

The test statistic is defined as:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

The <em>p</em>-value of the test is,

<em>p</em> = 0.001.

The p-value is well-defined as per the probability, [under the null-hypothesis (<em>H₀</em>)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.

A small p-value (typically ≤ 0.05) specifies sufficient proof against the null hypothesis (<em>H₀</em>), so you discard <em>H₀</em>. A large p-value (> 0.05) specifies fragile proof against the <em>H₀</em>, so you fail to discard <em>H₀.</em>

The <em>p</em>-value of 0.001 indicates that the probability of obtaining a result equivalent to or greater than what was the truly observed value of the test statistic is 0.001.

As the <em>p</em>-value is very small, the null hypothesis will be rejected at any level of significance.

Thus, concluding that the mean BMI of adult Canadians is more than 25.0.

3 0
3 years ago
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