1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jolli1 [7]
2 years ago
6

On a farm in iowa lived grandpa bill in a big yellow house on the top of the hill. His 70th birthday was this very day. All of h

is family were on their way. His wife sue had baked a cake. They'd all eat it by the lake. After the party the grandkids would play with all of the dogs then roll in the hay. He'd look out the window and what would he see? EIGHTY-FOUR legs and heads THIRTY-THREE!! grandpa Bill's question for you is not very hard. How many dogs and grandchildren will be in the yard? ​
Mathematics
1 answer:
DENIUS [597]2 years ago
8 0

Let g be the number of grandchildren, and d be the number of dogs. They both have only one head, so the number of heads is

g+d=33

Grandchildren have 2 legs, while dogs have 4. So, the total number of legs is

2g+4d=84

From the first equation (the one for the heads) we can derive

g=33-d

Substitute this into the second to get

2g+4d=84 \implies 2(33-d)+4d=84 \iff 2d=18 \iff d=9

So, there are 9 dogs and (from the first equation

g=33-9=24

You might be interested in
Which of ghe following is equivalent to (x+4)(3x^2+2x)?
Alexxandr [17]

The given expression is

(x+4)(3x^2 +2x)

And in the second factor, x is common. So on taking x out, we will get

(x+4)(x)(3x+2) = x(x+4)(3x+2)

We can expand it by distributing , that is

(x+4)(3x^2 +2x) = x(3x^2 +2x) +4 (3x^2 +2x)

= 3x^3 +2x^2 + 12x^2 +8x

Combining like terms,

= 3x^3 +14x^2 +8x

And that's the expanded form ., and the given expression can also be written in that way .

7 0
3 years ago
Evaluate each expression for g = -7 and h = 3 and match it to its value. 1. g + h 2 2. g - h 46 3. h - g -21 4. gh -4 5. g + h2
Ivanshal [37]

Answer:

1. -4

2. -10

3. 13

4. -21

5. 2

6. 46

Step-by-step explanation:

To evaluate the expression, substitute g= -7 and h = 3. Then simplify using order of operations.

1.  g-h = -7 + 3 = -4

2. g-h = -7 - 3 = -10

3. h-g = 3 - -7 = 3+10 = 13

4.gh = -7(3) = -21

5. g+h^2 = -7 + 3^2 = -7+9 = 2

6. g^2-h = (-7)^2 -3 = 49 -3 = 46

3 0
3 years ago
Read 2 more answers
3,5,8,12....... state the rule in the sequence​
amm1812

2n + 1

the number before n is the difference (what it goes up in), and the second is the ‘zeroth’ term: you take away the 2 you got from the first value, 3, and get 1 :)

8 0
3 years ago
7. Which of the following has a certain
Sliva [168]

Answer:

C.

Step-by-step explanation:

February has 28 days and on leap years 29. so there is an 11/12 chance that a month will have 29 days. a coin is 50/50. rain is 7/10. and a is irrational.

6 0
3 years ago
1. The temperature in Buffalo, New York, one Saturday was 68°F. The temperature the following Monday was 80°F. Write an equation
EastWind [94]
80-68=x
since 80-68= 12, x is equal to 12.
5 0
3 years ago
Other questions:
  • Find the distance between the points -18 and -42. Show your work for full credit. (2 points.)
    8·1 answer
  • What is the age of each of these people.
    15·1 answer
  • Solve the system of equations.
    5·1 answer
  • PLEASE HELP ME!! 1.02: Triangle Similarity 1<br><br> What is the value of X?
    9·1 answer
  • I'm really confused I'm not that good in math
    6·1 answer
  • An airplane's change in altitude before landing in shown in the table. What equation represents this change in altitude
    12·1 answer
  • Help me I really need help
    10·2 answers
  • Please help meeeee! <br> I'm really in a rush rn!
    14·1 answer
  • PLEASE HELPPPPPPPPPPPPP
    5·2 answers
  • 7)<br> 72, 43, 15, 66, 32, 72, 52, 19, 28, 81<br> Mean :<br> Median<br> Mode<br> Range
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!