1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mandarinka [93]
3 years ago
8

Sam is moving bags of soil from a loading dock into a storeroom. The top soil weighs 40 pounds per bag and the mulch weighs 20 p

ounds per bag. The cart Sam uses to move the bags can only carry up to 480 pounds.
Would this be y>=-2x+ 24 or y<=-2x+24
Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

Its the answer that's a solid line from 20 to 10 for me it was A

Step-by-step explanation:

Levart [38]3 years ago
3 0

Answer:

40x+20y\leq 480

Step-by-step explanation:

Givens

  • The top soil weighs 40 pounds per bag.
  • The mulch weighs 20 pounds per bag.
  • The cart can only carry up to 480 pounds.

Notice that the restriction is a maximum of 480 pounds, that means the inequality must include the sign \leq.

Now, let's call x the top soil and y the mulch, the inequality that represents this problem, would be

40x+20y\leq 480

You might be interested in
The least-squares regression model y =−3.4+5.2x and correlation coefficient r=−0.66 were calculated for a set of bivariate data
Makovka662 [10]

Answer:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

r^2 = (-0.66)^2 = 0.4356

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

Step-by-step explanation:

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

\bar x= \frac{\sum x_i}{n}

\bar y= \frac{\sum y_i}{n}

And we can find the intercept using this:

b=\bar y -m \bar x

And the model obtained for this case is:

y = -3.4 +5.2 x

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

r^2 = (-0.66)^2 = 0.4356

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

8 0
2 years ago
The difference between the roots of the quadratic equation x2 -14x +q =0 is 6. Find q
Irina-Kira [14]

9514 1404 393

Answer:

  q = 40

Step-by-step explanation:

When the quadratic has roots p and r, it can be factored as ...

  (x -p)(x -r) = x² -(p+r)x +pr

So, the sum of the roots is 14, and their difference is 6. This lets us find the roots from ...

  p + r = 14

  p - r = 6

  2p = 20 . . . add the two equations

  p = 10

  r = 14 -p = 4

The value of interest is then ...

  q = pr = (10)(4)

  q = 40

__

The graph shows the roots to be 4 and 10, as we found.

3 0
3 years ago
Let set C = {1, 2, 3, 4, 5, 6, 7, 8} and set D = {2, 4, 6, 8}.
g100num [7]
<span>1. If it is intersection then it SHOULD be included in both the sets right? Now we know that odd numbers from 1-100 but the second set are multiples of 5 from 50-150! So we mainly need to look for common numbers which are ODD and are a MULTIPLE OF 5 BETWEEN 50 - 100!! So A={51,53,57,59,61......99} B={55,60,65,70.......95} [We stop till 100 because set A has no such element] So what is A ∩ B here? A ∩ B = {All odd numbers and multiples of 5 between 50 - 100}

</span>
6 0
2 years ago
Y= <br> Help me please thanks
MArishka [77]

The value of y will be equal to 4.61.

<h3>What is trigonometry?</h3>

Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.

The value of y will be calculated by using the Pythagorean theorem:-

a² + a² = (9√2)²

a = 9

Applying angle property in the triangle:-

tan26 = \dfrac{MK}{9}

9tan26 = MK

LM = 9 - 9tan26

LM = 9 - 4.38

LM = 4.62

Therefore the value of y will be equal to 4.61.

To know more about Trigonometry follow

brainly.com/question/24349828

#SPJ1

4 0
1 year ago
Evaluate the expression 15 - n when n =9
Gnesinka [82]

Answer:

6

Step-by-step explanation:

Don't let the variable confuse you. Replace n with 9. Then, subtract 9 from 15.

6 0
3 years ago
Other questions:
  • Suppose there is a simple index of three stocks, stock X, stock Y, and stock Z. stock X opens the day with 2000 shares at $3.80
    11·2 answers
  • 4 divided by 5.6 divided by 7
    5·2 answers
  • How to round 4.66 to the nearest hundredth
    12·1 answer
  • Name three solutions of x &gt; 10.5
    9·1 answer
  • What is the distance between (-5,3) and (-7,3
    6·1 answer
  • Becka can make a bracelet in 2 minutes.
    10·1 answer
  • ASAP WILL GIVE BRAINLIEST Which two numbers below have a least common multiple of 48?
    11·2 answers
  • A shape is being designed such that it is a combination of an isosceles triangle with a semicircle whose diameter is the base of
    5·1 answer
  • I don’t understand this can you explain and answer it!!!
    13·1 answer
  • 20 people have volunteered for a 5-person neighborhood advocacy committee. 11 of them are homeowners and the rest are local busi
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!