Robert is serving 16 drinks to his friends. Three times as many friends are drinking lemonade as tea, and 4 are drinking water. How many of each type of drink does Robert serve?
Answer:
9 lemonade, 3 tea, 4 water
Answer: Robert should serve 3 for tea, 9 for lemonade, and 4 for water.
Step-by-step explanation:
Since you don't know how many friends are drinking lemonade or tea, you should give them variables.
x = amount of friends drinking tea
3x = amount of friends drinking lemonade
We already know how many are drinking water, so there's no need for a variable.
Then, make an equation:
x + 3x + 4 = 16
Simplify:
4x + 4 = 16
Isolate the variable by subtracting 4 from both sides:
4x = 12
Isolate the variable by dividing both sides by 4:
x = 3, so 3 friends are drinking tea
3x = 9, so 9 friends are drinking lemonade
Double check the work by replacing the variables with their actual numbers:
3 + 9 + 4 = 16
Simplify:
16 = 16
Therefore, the answer is correct.
What is the median of the data set? 60,70,45,60,80,35,45
Answer:
Step-by-step explanation:
60
Answer:
60 is the median
Step-by-step explanation:
eo to!
Which of the following is an advantage to refinancing?
A. It is a time-consuming process.
B. There are prepayment penalties.
C. It offers lower interest rates.
D. There are additional closing costs.
Answer:
c it offers lower interest rates
Write an expression that is equivalent to the following:
x + x + x + x - 20
Answer:
4x-20
Step-by-step explanation:
Translate the sentence into an equation.
The sum of 2 times a number and 9 is 7.
Use the variable
y for the unknown number.
Answer:
Step-by-step explanation:
2 times a number, 2y
the sum of that and 9, 2y+9 ‘is’ 7
2y+9=7
In what way does the power of judicial review act as a check?
A. Courts can review acts of other courts
B. Courts can impeach the president
C. Courts can declare congressional acts unconstitutional
D. Courts can check on other courts to make sure they are acting constitutionally
Answer:
a
Step-by-step explanation:
Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?
1.58
Answer:
False
Step-by-step explanation:
1.58 the 8 is above five so it would round up to 1.6
What is 2/5 as a decimal and percent
3. Explain why the polynomial 34 + 5x3 - 7x2 + 3x has a degree 3 and not 4.
Answer:
See explanation below
Step-by-step explanation:
The degree of a polynomial is the LARGEST power at which the variable/s appear in their expression.
Notice that in the given polynomial, the highest power for the variable x is 3, from the term 5 x^3.
There is no other term with higher power for x.
The variable appear in the expression [tex]3^{4} + 5x^{3} + 7x^{2} + 3x[/tex] x which has highest power 3 not 4 .
We have to explain, why the polynomial [tex]3^{4} + 5x^{3} + 7x^{2} + 3x[/tex] has a degree 3 and not 4.
According to the question,
A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.
The degree of a polynomial is the largest power at which the variable appear in their expression.
[tex]Polynomial = 3^{4} + 5x^{3} + 7x^{2} + 3x[/tex]
The given polynomial, the highest power for the variable x is 3, from 5 .
Hence, The variable appear in the expression [tex]3^{4} + 5x^{3} + 7x^{2} + 3x[/tex] x which has highest power 3 not 4 .
To know more about Degree click the link given below.
https://brainly.com/question/21726505
12 x 25 + 2-10 what’s is the answer bishesss
Answer:
292
Step-by-step explanation:
Answer:
292
Step-by-step explanation:
12X25=300
300+2=302
302-10=292
PEMDAS
also used calculator
look it up on internet
It's 8 to 3 i promise i got it right on the assessment
Answer:
whats the question but if your asking whats 8-3 its 5
Step-by-step explanation:
1 meter convert to centimetres
Step-by-step explanation:
converting 1 meter to centimeters
1 m = 100 cm
Alexander read 12 books in 3 months what was her rate of reading and months per book
Answer: 4 books every month
4:1
Jesse went to the store with a total of $45. He bought a
hat that cost $12, a hat for $10 and some ties. If each
tie cost $4. What is the most amount of ties he can buy?
asap pls
Answer: He can buy 5 ties
Step-by-step explanation:
12+10=22. 4x5=20. 22+20=42. If you add 1 more tie, you will have $46, so you cannot add one more tie. So the most amount of ties he can buy is 5 ties, with $3 left to spare.
determine the simple interest when:
principal is $890, interest rate is 4.25% and the time is over 2 years
Answer:
$75.65
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 890 × 0.0425 × 2 = 75.65
I = $ 75.65
The simple interest accumulated
on a principal of $ 890.00
at a rate of 4.25% per year
for 2 years is $ 75.65.
HELPPPPPP!!!!! Classify each pair of numbered angles.
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Linear pair
Vertical
Adjacent
None of these
9514 1404 393
Answer:
1, 2: Vertical
5, 6: Adjacent
Step-by-step explanation:
Vertical angles are formed from opposite rays and share a vertex. Angles 1 and 2 are vertical angles.
__
Adjacent angles share a vertex and have one ray shared between them. Angles 5 and 6 are adjacent angles.
_____
Additional comment
In a polygon, interior angles that share a side of the polygon are also called adjacent angles..
directions: solve each equation below and type your answer in the answer column. Type all answers in decimal form
Answer:
11. x = 3.5
12. x = 11.75
13. x = 79.6
14. x = 2.2
15. x = 24.80
16. x = 11.75
17. x = 196.5
isnsjsuudd
3+4= + 7 x 10 = x 1,000,000 =
Answer:
70 x 1,000,000= your answer
Step-by-step explanation:
Which term completes the product so that it is the difference of squares?
(-5x-3)(-5x+____)
A. -9
B. -3
C. 3
D. 9
Answer:
3
: The term that completes the product so that it is the difference of squares is 3.
Select three ratios that are equivalent to 6:16
Answer:
12:38
3:8
24:44
Step-by-step explanation:
al the numbers are multiples equally
Answer:
3:8
Step-by-step explanation:
i dont know how
how i just know
What is the measure of x? 4 16 Z y х X= V? Enter the number that belongs in the green box. Enter
Answer:
√20
Step-by-step explanation:
16+4
=20
so√20
(i am not shour 100%)
Answer:<3
Step-by-step explanation:
x=8
The nth term of a different sequence is 2n2 - 4
Find the 3rd term of this sequence.
What is the area of the triangle?
10
8
12.8
pls help!
I need help.
If you don't know please don't answer a guess or a silly answer.
If you know for sure please put the answer below and you will get 20 points.
Thank you!
Answer:
3.
Step-by-step explanation:
Divide the day price by the week and round down.
You get like 3.45, so 3.
hope this helps :)
Step-by-step explanation:
Answer is 3 or 3.45 i think also are you on a quiz on savvas realize or this just work
PLEASE ANSWER
WILL ALSO MAKR BRAINLYEST
Please help, this is an easy question. Ive asked the same things a few times with very high point numbers but havent gotten a correct answer.
Seven friends accept the invitation to the twin’s birthday party. At the last minute, Tomas and Emilio learn that their neighbor also wants to attend. The twins realize that they can stay with their budget by buying different amounts of popcorn. ( small popcorn (serves 1) $4.50, medium popcorn ( serves 2) $5.75, and large popcorn ( serves 2-3 $6.50). Describe a different popcorn scenario that will allow the twins bring 8 friends, including their neighbor and stay within their budget ($200).
Answer:
You can by 8 of each item and you will still have money left over
Step-by-step explanation:
small=36
medium=52
large=52
that makes 134
The total cost of this scenario is $18 + $13 = $31.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
One possible popcorn scenario that will allow the twins to bring 8 friends and stay within their budget is:
Buy 2 small popcorns for $4.50 each. This will serve 2 people and cost $9.
Buy 3 medium popcorns for $5.75 each. This will serve 6 people and cost $17.25.
Buy 1 large popcorn for $6.50. This will serve 2 or 3 people and cost $6.50.
Now,
The total cost of this scenario is:
$9 +$17.25 + $6.50 = $32.75
This is less than their budget of $200 and will serve all 8 friends plus the twins themselves.
Another possible popcorn scenario that will work is:
Buy 4 small popcorns for $4.50 each. This will serve 4 people and cost $18.
Buy 2 large popcorns for $6.50 each. This will serve 4 to 6 people and cost $13.
$18 + $13 = $31
This is also less than their budget of $200 and will serve all 8 friends plus the twins themselves.
Therefore, by algebra the answer will be $31.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
I need the answer too all of these:
1. 7x + 1x = ?
2. 6 + 1 + 5x = ?
3. 4x + 7x + 3 - 2 = ?
4. 6x + 6 + 8 + 1x = ?
5. 7x - 7x + 2 = ?
6. 3x + 6 + 1x = ?
7. 8- 8x - 3 = ?
8. 2x - 5 + 2 =
HELP ASAPP
The ratio of dogs and cats in the veterinarians office is 9:7What is the ratio of dogs to the number of dogs and cats in the veterinarians office
Answer:
9:16
Step-by-step explanation:
If there are 9 dogs and 7 cats and you need to know the total number of cats and dogs add the numbers together (16) and put the number of dogs in front of it (9). So the answer is 9:16
Answer:
9:16
Step-by-step explanation:
because he ratio of cats to dogs is 9:7, so that means the 9 is how many dogs their are, 9 + 7= 16, making 9:16 (i'm wrong i'm positive i might be right)
How old am I if, eighty reduced by 2 times my age is fifty-six
Help please urgent sadly
Answer:
3x+6
Step-by-step explanation:
A man could arrive on time for an appointment if he drove a car 40mph; however, since he left the house 15 minutes late, he drove the car 50 mph and arrive 3 min early how far from his house was his appointment
Answer:
60 miles
Step-by-step explanation:
Let us assume the distance between his home and place of appointment be x and t would be time taken at 40 mph
As we know that
Distance = speed × time
So,
x = 40t ............(1)
As he left the house 15 minutes late and also drove his car at 50 mph and arrive 3 minutes early
So,
15 minutes = 15 ÷ 60 = 0.25 hour
3 minutes = 3 ÷ 60 = 0.05 hour
Now the actual time taken is
= t - 0.25 - 0.05
= t - 0.30
x = 50(t - 0.30)
x = 50t - 15.............(2)
Now
40t = 50t - 15
10t = 26
t = 3 ÷ 2 hour
Now
x = 40 × 3 ÷ 2
= 60 miles