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rjkz [21]
3 years ago
15

Steve is collecting toy cars. He already has 100 of them! 42 of them are new, 19 are his favorites; 3 are new and a favorite. St

eve is going to donate to his school's yard sale all of them that neither new nor favorite. How many toy cars will he donate?
Mathematics
1 answer:
ZanzabumX [31]3 years ago
4 0

Answer:

42

Step-by-step explanation:

This can be done with a Venn diagram, but I can't draw it here, so I'll explain it.

Of the 42 new ones, 3 are also his favorite. That means there are 39 new that are not favorite.

Of the 19 favorites, 3 are also new, so 16 are favorite but not new.

New but not favorite: 39

Favorite but not new: 16

New and favorite: 3

Total above: 39 + 16 + 3 = 58

He has a grand total of 100 toy cars, so 100 - 58 = 42

42 are neither new nor favorite.

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Please help answer this! thank you ​
nexus9112 [7]

Answer:

75 units²

Step-by-step explanation:

PL² = 6² + 8²

PL² = 100

PL = 10

Triangles PAL and MPL are similar triangles

6/8 = PM/10

PM = 10 × 6/8 = 7.5

Area = 7.5 × 10

75 units²

7 0
3 years ago
Read 2 more answers
Find the value of X in the diagram above
ArbitrLikvidat [17]

Answer:

17

Step-by-step explanation:

for L to be parallel to M the two angles have to be supplementary so to add up to 180°

6x+8+4x+2 =180

10x+10 =180

10x = 180-10

10x = 170

x=170/10

x=17

8 0
3 years ago
Which expression gives the y-coordinate of the solution of the system? 3915518_Eqn011.gif
Tems11 [23]

General Idea:

The Cramer's rule can be used to find the value of y.

For a system of equation of the form:

ax+by+cz=j

dx+ey+fz=k

gx+hy+iz=l

Determinant D =\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]

D_{y} =\left[\begin{array}{ccc}a&j&c\\d&k&f\\g&l&i\end{array}\right]

y=\frac{D_{y}}{D}

Applying the concept:

x+2x-2z=3\\3x-y+z=16\\x+z=7

D=\left[\begin{array}{ccc}1&2&-2\\3&-1&1\\1&0&1\end{array}\right] \\D=1(-1-0)-2(3-1)-2(0+1)\\D=-1-4-2\\ D=-7

D_y=\left[\begin{array}{ccc}1&3&-2\\3&16&1\\1&7&1\end{array}\right] \\ D_y=1(16-7)-3(3-1)-2(21-16)\\ D_y=9-6-10 \\D_y=-7

Conclusion:

The expression which gives the y-coordinate of the solution of the system is option D.

OptionD=\frac{\left[\begin{array}{ccc}1&3&-2\\3&16&1\\1&7&1\end{array}\right] }{-7}

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weqwewe [10]
About 9 weeks. 8.57 to be exact
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2 years ago
Which of these statements is true?
avanturin [10]

Answer:

3rd one

because they r right angles and congruent to each other and for right angle its is used HS postulate

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