Tourist: "How many birds and lions do you have in your zoo?" Zookeeper:"There are 30 heads and 100 feet." Find the number of each animal. I need to know how to set this problem up in a system of linear equations. Thank you.

Answers

Answer 1

Answer: Each lion has 1 head. The number of lion heads is L .
Each bird has 1 head. The number of bird heads is B.
The total number of heads of all species is (L + B) = 30

Each lion has 4 feet. The number of lion feet is 4L .
Each bird has 2 feet. The number of bird feet is 2B .
The total number of feet of all species is (4L + 2B) = 100

The system of linear equations is:

L + B = 30
4L + 2B = 100 .

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The Murphys’ gross annual family income is $120,500. Mr. Murphy referred to the graph shown below and calculated that his family will spend $28,920 on taxes this year. What is wrong with Mr. Murphy’s calculation?a.
He has calculated only federal taxes.
b.
He has calculated only state taxes.
c.
He does not need to include federal taxes.
d.
He does not need to include state taxes.

Answers

Mr. Murphy's calculation of the taxes they are to pay this year is wrong because a. He has calculated only federal taxes.

There are several taxes that an employed person must pay including:

Federal income taxes
Federal social security taxes
State taxes

Mr. Murphy only calculated the federal taxes and did not include the state ones which are usually higher than the federal tax. Once he includes the state tax, his calculation will be correct.

In conclusion, state taxes need to be paid for as well.

Find out more on state taxes at brainly.com/question/1775528.

Answer:

A is your answer

Step-by-step explanation:

i just took the big exam

Diagram shows a section of a bridge between the points A and K. The length of line segment is 640 meters. ∆ABC, ∆CDF, and ∆FJK are similar, and 2AC = CF = 2FK. The first pillar, , is 20 meters tall.The area of ∆CDF is square meters.

Answers

AK = 640
Δ ABC and ΔFJK are similar. They are small triangles.
ΔCDF is the big triangle.

640 / 2 = 320 m= CF
AC & FK= 320/2 = 160 m each

2AC = CF = 2FK
2(160) = 320 = 2(160)

BG = 20 m

20/160 = x / 320
20*320 = 160x
6400 = 160x
6400/160 = x
40 = x

Area of CDF = (40 m * 320 m)/2 = 12,800 / 2= 6,400 m²

6,400 meters squared on plato. Just took the test and it is correct.

What is 4 2/7 * 2 1/5 Express the answer in simplest form.

Answers

$4 (2)/(7) *2 (1)/(5) = (30)/(7) * (11)/(5) = (330)/(35) ^((5) = (66)/(7).$

First, turn them into improper fractions. 4 and 2/7= 30/7, and 2 and 1/5= 11/5. 30/7*11/5= 330/25=9 and 3/7.....thats ur answerI accidentally uploaded the wrong picture. Srry.

Are the triangles similar? If they are, identify the similarity ratio.A) Yes; the similarity ratio is 3:4.
B) Yes; the similarity ratio is 2:3.
C) Yes; the similarity ratio is 1:2.
D) No; the triangles are not similar.

Answers

A, because if you match the left triangle's sides to the right triangle's sides and simplify the fractions the ratio is 3/4. 6/8= 3/4, 9/12=3/4. and 12/16=3/4

Solve this equation: x+21=20