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GREYUIT [131]
3 years ago
15

Antonio is building a shelving unit to hold all of his shoes. A pair of work shoes takes up 2 square feet of space, and a pair o

f boots occupies 4 square feet. The total amount of shelving space taken up by all the shoes can be at most 66 square feet.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.

x = the number of pairs of shoes
y = the number of pairs of boots
Mathematics
1 answer:
likoan [24]3 years ago
7 0

Answer:

8y+17x=66

Step-by-step explanation:

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Use your knowledge of the Triangle Sum Theory to solve for x. Then solve for ∠ L.<br><br> help plss
krok68 [10]

Answer:

X= 15

K=45

Step-by-step explanation:

The Triangle Sum Theory means that every interior angle of a triangle sums up to 180. My first approach was to put 169 as x but that isn’t correct. That is because a triangle’s smallest angles have to add up to be more than the biggest angle. Ex (10, 5, 7 that is a triangle because the sum of 5+7 is more than 10) So as you can see there are x’s next to the other numbers. That is because x needs to be able to multiply with the other numbers and stand on it’s own and add up to 180. So this would be the equation: X+8•X+3•X=180. You should find that 15 makes everything add up to 180. Now knowing x is 15 now we know that 3x is equal to 45. So k=45 That is how you solve this tricky question. Hope this helps! ❤️

7 0
3 years ago
Find the probability that an SRS of 36 babies will have an average birthweight of over 3.9 kg. Write your answer as a decimal. R
Jlenok [28]

Complete question :

The birthweight of newborn babies is Normally distributed with a mean of 3.96 kg and a standard deviation of 0.53 kg. Find the probability that an SRS of 36 babies will have an average birthweight of over 3.9 kg. Write your answer as a decimal. Round your answer to two places after the decimal

Answer:

0.75151

Step-by-step explanation:

Given that :

Mean weight (m) = 3.96kg

Standard deviation (σ) = 0.53kg

Sample size (n) = 36

Probability of average weight over 3.9

P(x > 3.9)

Using the z relation :

Zscore = (x - m) / (σ / √n)

Zscore = (3.9 - 3.96) / (0.53 / √36)

Zscore = - 0.06 / 0.0883333

Zscore = −0.679245

Using the Z probability calculator :

P(Z > - 0.679245) = 0.75151

= 0.75151

3 0
3 years ago
The number 321.8 is 34% of x. What is the value of x rounded to the nearest whole number?
Anni [7]

Answer:

946

Step-by-step explanation:

Let's make an equation :

34% of x = 321.8

Covert 34% into decimal by dividing by 100 :

34 ÷ 100 = 0.34

Rewrite equation with decimal form :

0.34x = 321.8

Divide both sides by x to make x the subject :

x = 321.8 ÷0.34

x = 946.470588235

To the nearest whole number will be 946 as 4 rounds it down

So our final answer will be 946

Hope this helped and have a good day

7 0
1 year ago
Read 2 more answers
In a football tournament, the Bees scored 9 less than three times as many points as the Hornets. The Wasps scored 28 more points
Elina [12.6K]

Given:

Bees scored 9 less than three times as many points as the Hornets.

Wasps scored 28 more points than the Hornets.

Together the three teams scored 184 points.

To find:

The required equation for this scenario.

Step-by-step explanation:

Let x represent the number of points scored by the Hornets.

Bees scored 9 less than three times as many points as the Hornets.

Bees score = 3x-9

Wasps scored 28 more points than the Hornets.

Wasps score = x+28

Together the three teams scored 184 points.

(3x-9)+x+(x+28)=184

Therefore, the required equation is (3x-9)+x+(x+28)=184.

3 0
3 years ago
What are the twin prime numbers of 99 -199​
Naddika [18.5K]

Answer:

Therefore, the pairs of twin-prime numbers are (101,103) , (107,109) , (137,139) , (149,151) , (179,181) , (191,193) , (197,199) . So, the correct answer is “ (101,103) , (107,109) , (137,139) , (149,151) , (179,181) , (191,193) , (197,199) ."

4 0
3 years ago
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