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Mandarinka [93]
2 years ago
8

A. 216 B. 108 C. 72 D. 48

Mathematics
2 answers:
horrorfan [7]2 years ago
6 0

Answer: 72

Step-by-step explanation:

1/8 = 9/72

5/12 = 30/72

7/18 = 28/72

Norma-Jean [14]2 years ago
5 0

Answer:

72

Step-by-step explanation:

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Adam and Tom share a sum of money in the ratio 18:17
Digiron [165]

x = total amount split between Adam and Tom.

since we know the total amount split between both in a 18 : 17 ratio is "x", let's divide "x" by (18 + 17) and distribute accordingly to get the amount of each.

\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5

\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{18x}{35} \right)~~ = ~~35\left( \cfrac{17x}{35}+5 \right)}\implies 18x~~ = ~~17x+175\implies \boxed{x =175} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}}\implies \cfrac{17(175)}{35}\implies \blacktriangleright 85 \blacktriangleleft

5 0
2 years ago
Most decks of playing cards contain 4 suits - hearts, clubs, diamonds, and spades. If you choose one card from the deck at rando
Murrr4er [49]

Answer:

1/4

Step-by-step explanation:

there are only four suits and an equal number of cards from each suit, which makes 13 hearts, clubs, spades, and diamonds, so the chance for one of them to be chosen is 13/52, which is reduced to 1/4, or 25 percent.

have a good day friend :)

5 0
2 years ago
An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that
Sphinxa [80]

Answer:

  • 71° and 71°.

⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

⠀

  • So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

⠀

We know that,

  • The sum of all angles of a triangle is 180°

⠀

So, According to the question :

⠀

{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + x + x  =  180{}^{ \circ} }}}

⠀

{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + 2x   =  180{}^{ \circ} }}}

⠀

{\longrightarrow \it\qquad { \ {   2x   =  180{}^{ \circ} - {  38 \: }^{ \circ}}}}

⠀

{\longrightarrow \it\qquad { \ {   2x   =  142{}^{ \circ}  }}}

⠀

{\longrightarrow \it\qquad { \ {   x   =    \dfrac{142{}^{ \circ}}{2}   }}}

⠀

{\longrightarrow \it\qquad { \pmb {   x   =  71^{ \circ}  }}}

⠀

Therefore,

  • The measure of the two other angles of the isosceles triangle are 71° and 71°.
3 0
2 years ago
The solutions to a certain quadratic equation are x = -4 and x = 3. Write the equation in standard form below.
elena-14-01-66 [18.8K]
y=a(x-x_1)(x-x_2)\\\\x_1=-4;\ x_2=3\ therefore\\\\y=a(x+4)(x-3)\\\\y=a(x^2+x-12)\\\\\boxed{y=ax^2+ax-12a}\ where\ a\in\mathbb{R}-\{0\}
5 0
3 years ago
Read 2 more answers
An angle of a right triangle measures 65 degrees. If the length of the side opposite to the angle is 20 ft, what are the lengths
igomit [66]

Answer:

22.07 ft & 9.32 ft

Step-by-step explanation:

by sines rule :

20/sin 65° = r/sin 90° = y/sin 25°

r = 20×sin 90°/sin 65° = 20/0.9063

= 22.07 ft

y = 20×sin 25°/sin 65° =

20× 0.4226/0.9063

= 9.32 ft

5 0
2 years ago
Read 2 more answers
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