(1) Farmer Ben has only ducks and cows 21 in total. He can’t remember how many of each he has. He knows
that the animals have a total of 52 legs. Assuming that each animal has all legs intact and no extra
limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer this question.
(2) On a merry-go-round, 12 horses are evenly spaced on the outside perimeter. Abe is opposite to the first
horse. It takes 4 seconds for the fourth horse to reach Abe. How long will it take the merry-go-round to
go around once? Draw a clear diagram to answer this question. Make a Diagram and solve this problem.
(3) Charmin’s daughter has $6.00 she wants to spend on a comic books and superhero cards. Comic books
cost 75 cents each, and deluxe packages of superhero cards cost $1.50 each. List all the ways she can
spend all of her money on comic books, superhero cards , or both.
(4) In how many ways can one add only three positive even numbers and get 22? Make a systematic list
and show all the possibilities.
Can somebody plzz help me on these for questions i really need to pass this and show work
Answer:
Answer of #1
5 Cows and 16 Ducks
Explanation:
4x + 2(21-x) = 52
4x + 42 - 2x = 52
2x + 42 = 52
- 42 - 42
2x = 10
x = 5 Number of cows
21 - 5 = 16 ducks.
Checking: The 5 cows have 5 x 4 = 20 legs. The 16 ducks have 16 x 2 = 32 legs.
32 + 20 = 52
which of these best describes a biome
Answer:
Could you describe your question more? I think you forgot to attach a picture.
Explanation:
Answer:
A biome is a large area characterized by its vegetation, soil, climate, and wildlife. ... Grasslands are open regions that are dominated by grass and have a warm, dry climate. There are two types of grasslands: tropical grasslands (sometimes called savannas) and temperate grasslands
Explanation:
What is the purpose of taking a personality inventory assessment?
O A.
OA. to find out what personality traits you should acquire for a successful career
B.
to identify your personality traits and relate them to a suitable career
O.C. to compare your personality traits with those of successful people in different
O D.
Identify aspects of your personality that you can improve with the help of am
are these good to submit they are worth 50 % of my grade
Answer:
YES
Explanation:
They are perfect
Answer:
yes
Explanation:
Question
A police officer claims that the proportion of drivers wearing a seat belt in a certain area is less than 40%.
To test this claim, the officer collects a random sample of 80 drivers and monitors if the driver was wearing a seat belt.
From this sample of 80 drivers, the police offers observes that 34 were wearing seat belts.
Assume the conditions needed to conduct a one sample proportion test are satisfied.
The setup for the null and alternative hypothesis is as follows:
H : p = 0.40; H, :p < 0.40, which is a left-tailed test.
Compute the test statistic and p-value for this Hypothesis test using Excel and round your answers to 3 decimal places.
Answer:
0.456
0.324
Explanation:
The null and alternative hypothesis :
H0 : p = 0.40; HA :p < 0.40
Test statistic :
(Ph - P) / sqrt[(p*(1-p))/n]
Ph = X / n
X = 34 ; n = sample size = 80
Ph = 34 / 80 = 0.425
(0.425 - 0.4) / sqrt[(0.4(0.6)) / 80]
0.025 / sqrt(0.003)
0.025 / 0.0547722
Test statistic = 0.4564359
Test statistic = 0.456
Using the P-value from Zscore calculator :
Significance level of 95% ; one tailed
Z statistic value = 0.456
P value = 0.324195
= 0.324 ( 3 decimal places)
Answer:
test statistic=0.456 p value=0.676
Explanation:
You need to have a password with 5 letters followed by 2 odd digits between 0 and 9, inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your password?
A Pick out the verbs from the following sentences and say whether they are
transitive or intransitive. Point out the subject of each verb and the object of a
transitive verb.
1. Javeria was sleeping soundly.
Answer:
hello you noob bsdk har mahadev ka hai to thoda aur bta bro and then give us an Indian I am not sure if you have to leave clan of
A store clerk is paid $10.75/ hour and a store assistant manager is paid $16.25/ hour. How long would it take the store managerto make $500 or more than the store clerk? Round to the nearest hour. Show all work.
It will take approximately 91 hours for the store manager to make $500 or more than the store clerk.
If the store clerk is paid $10.75/ hour and the store assistant manager is paid $16.25/ hour, the difference in their pay per hour will be expressed as:
The difference in the amount earned per hour = 16.25 - 10.75
The difference in the amount earned per hour = $5.5
This means that the store assistant manager will collect $5.5 more than the store clerk in one hour. This can be expressed as:
$5.5 = 1 hour
To determine how long it will take the store manager to make $500 or more than the store clerk, we can write:
$500 = x
Divide both expressions:
[tex]\dfrac{5.5}{500} =\dfrac{1}{x} \\Cross \ multiply\\5.5x = 500 \times 1\\5.5x = 500\\x=\frac{500}{5.5}\\x= 90.9 \ hours[/tex]
This means that it will take approximately 91 hours for the store manager to make $500 or more than the store clerk.
Learn more here: https://brainly.com/question/20335698