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Allushta [10]
3 years ago
10

Bobby's Christmas list had 3 more than twice as many items on it than Johnny's list. Jhonny asked for 8 fewer items than bobby.

How many items were on Johnny's (x) and Bobby's (y) Christmas lists
Mathematics
2 answers:
miskamm [114]3 years ago
4 0
Because jonny asked for 8 fewer items than bobby and bobby's list had 3 more than twice that of johny, the "twice" is 5. Two possible answers for this problem could be 13 and 5 since they both satisfy the requirement. if you can't logically deduct a function for it, look at the problem closely, then test and guess! Have fun with math!
Delvig [45]3 years ago
4 0

Answer:

<h2>Bobby made the Christmas list with 13 items, and Johnny with only 5 items.</h2>

Step-by-step explanation:

"Bobby's Christmas list hat 3 more than twice as many items than Johnny's". This statement is represented by:

B=2J+3; where B is Bobby, and J is Johnny.

Then, the problem states, "Johnny asked for 8 fewer items than bobby", it's represented by:

J=B-8

Now, to find the value of each variable, we solve this system of equations by substitution:

B=2J+3\\B=2(B-8)+3\\B=2B-16+3\\13=2B-B\\B=13

Then, we replace this into second equation to find J:

J=B-8=13-8=5

Therefore, Bobby made the Christmas list with 13 items, and Johnny with only 5 items.

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Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,
alexgriva [62]

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

\frac{sin(B)}{b} = \frac{sin(C)}{c}

\frac{sin(B)}{24} = \frac{sin(82)}{29}

sin(B)*29 = sin(82)*24

\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}

sin(B) = \frac{sin(82)*24}{29}

sin(B) = 0.8195

B = sin^{-1}(0.8195)

B = 55.0

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

\frac{a}{sin(43)43} = \frac{24}{sin(55)}

Cross multiply

a*sin(55) = 25*sin(43)

a = \frac{25*sin(43)}{sin(53)}

a = 20 (approximated)

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3 years ago
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