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tatuchka [14]
3 years ago
10

Please help! posted picture of question

Mathematics
1 answer:
dlinn [17]3 years ago
7 0
If you eliminate obvious wrong answers you increase your chances of getting the question correct.

Notice the inequality signs are both "equal to" which means a solid boundary line. This means choice B and D can not be correct.

You can test a point that is exclusively in the shaded region of each graph.

x + 2y ≤ 4
-x           -x    solve for y by moving x term
      2y ≤ -x + 4
       ÷2    ÷2   divide both sides of the inequality by 2
y ≤ -1/2x + 2 ← plot 2 on y-axis then move down 1 and right 2 put 2nd point
    shade below the solid line

3x - y ≥ 2 when solved for y → y ≤ 3x - 2 (the inequality sign switched because in the process of solving for y I had to divide by a negative number)

plot -2 on the y-axis then move up 3 and to the right 1 put 2nd point 
   shade below the line

the answer is choice A  only graph where they have shaded below both lines...use the y-intercept as a guide for shading above or below the line... shading where numbers are greater than the y-intercept is shading above the line and shading where numbers are less then the y-intercept is shading below the line
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Carl collects coins compulsively, but he only likes quarters ($0.25) and dimes ($0.10). Carl currently has 125 coins for a total
Bogdan [553]

Answer:

Carl has 35 dimes and 90 quarters

Step-by-step explanation:

Let the number of quarters be q and the number of dimes be d

Total number of coins is 125;

Hence;

q + d = 125 •••••••••(i)

The total value of quarters present = q * 0.25 = 0.25q

The total value of dimes present = d * 0.1 = 0.1d

Adding both gives the total

0.25q + 0.1d =26 ••••••••(ii)

So we need to solve both equations simultaneously;

From i,

q = 125 - d

Substitute this into ii

0.25(125-d) + 0.1d = 26

31.25 -0.25d + 0.1d = 26

31.25 -26 = 0.25d -0.1d

5.25 = 0.15d

d = 5.25/0.15

d = 35

Recall; q = 125 - d = 125 -35 = 90

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3 years ago
If there are 5 green, 6 yellow, 8 blue, and 7 brown M&M's, what is the probability that you choose a blue?
Alex777 [14]

Answer:

the probability is 69/420

4 0
3 years ago
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Me podrían ayudar con esto?​
xxTIMURxx [149]

Answer:

0

Step-by-step explanation:

This would be basically be zero/0 because anything times 0 is just nothing.

7 0
2 years ago
The diameter of a circle is 28 inches what is the circle's area?<br><br> use 3.14 for pi
jolli1 [7]

Answer:

615.75216....

Step-by-step explanation:

The formula is A = π * (ø/ 2)^2

A = Circle area

π = Pi = 3.14

ø = Circle diameter

A= 3.14  (28/2)^2

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3 years ago
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Given that 8 bolts and 6 nuts weigh 138grams and 3 bolts and 5 nuts weigh 71 grams. Find the weight of;(a)one bolt and one nut (
Viktor [21]

Answer:

(a) Weight of a bolt = 12 grms and weight of a nut is 7 gms. Weight of one bolt and one nut = 12 + 7 = 19 gms

(b) 69 gms

(c) 209 gms

Step-by-step explanation:

This problem relates to solution of 2 unknowns using simultaneous equations.

Let B be the weight of a single bolt and N be the weight of a single nut

Since 8 bolts and 6 nuts weigh 138 grams we get one of the equations as

8B + 6N = 138    (1)

The second equation in the unknowns is

3B + 5N = 71  (2)

To solve, we eliminate one of the unknowns by making its coefficients the same and subtracting one from the other

Multiplying (1) by 5 ===>   40B + 30N = 690   (3)

Multiplying (2) by 6 ===>  18B + 30N = 426    (4)

(3) - (4) eliminates the N variables and yields

22B = 264   ==> B = 264/22 ==> B = 12

So the weight of a single bolt is 12 grams

We can find the weight of a single nut by substituting this value of B into any of the equations (1), (2), (3) or (4) and solving for N. Let's use equation (2)

3(12) + 5N = 71 ==>  36 + 5N = 71 ==> 5N = 71-36 = 35 ==>  N= 7

So the weight of a single nut is 7 grams

Weight of one bolt and one nut is the sum of the above individual weights = 12 + 7 = 19 gms

To solve (b) and (c) we could set up two other equations and plug in values for B and N

(b) 4B + 3N = 4.12 + 3.7 = 69
However, an alternate way is to perceive that 4B + 3N is exactly half of 8B + 6N so the value of that must be 138/2 = 69

(c) If we add both equations (1) and (2), we get

11B + 11N = 138 + 71 = 209 which is the equation for the total weight of 11 bolts and 11 nuts

5 0
1 year ago
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