There is a competition at the local movie theater for free movie tickets. You must guess
all four employees' ages given a few clues. The first clue is that when added together,
their ages total 106 years. Kirk is twice ten years less than the manager's age, Brian is 12
years younger than twice the manager's age, and Matt is 6 years older than half the
manager's age. What are all four of their ages? It may help to set up four let statements,
one for each employee (including the manager).
Answer:
Manager = 24
Kirk = 28
Brian = 36
Matt =18
Step-by-step explanation:
Let
The managers age = x
Kirk is twice ten years less than the manager's age
Kirk = 2(x - 10)
Brian is 12 years younger than twice the manager's age
Brian = 2x - 12
Matt is 6 years older than half the
manager's age.
Matt = 1/2x + 6
Total = 106 years
Add the four employees ages
x + 2(x-10) + (2x-12) + (1/2x + 6) = 106
x + 2x - 20 + 2x - 12 + 1/2x + 6 = 106
5x + 1/2x - 26 = 106
10x+x/2 = 106 + 26
11/2x = 132
x = 132 ÷ 11/2
= 132 × 2 / 11
= 264 / 11
= 24
x = 24
Managers age = x = 24 years
Kirk = 2(x - 10)
= 2(24 - 10)
= 2(14)
= 28 years
Brian = 2x - 12
= 2(24) - 12
= 48 - 12
= 36 years
Matt = 1/2x + 6
= 1/2(24) + 6
= 12 + 6
= 18 years
No entiendo estas multiplicaciones ayudaa ksjsmkdjdjdj
Answer:
Please mark as brainliest;)
During a heavy storm, rain falls for 4.2 hours through the night. A weather station monitors the rain by measuring the milliliters of water it takes to fill a container. How many milliliters of rain will fill the container if the rain falls at a rate of 3 quarts per 39 minutes? Round to one decimal.
Answer: 18,359.2 mL
Step-by-step explanation:
We know that the rain lasted for 4.2 hours.
Each hour, has 60 minutes.
Then the time of the rain was = 4.2*60min = 252 min.
Now, we know that the rate of the rain is 3 quarts per 39 minutes.
Then the total amount of rain, in quarts, will be:
R = (252min/39min)*3 quarts = 19.4 quarts.
But we want this answer in milliliters, then we can use the relation:
1 quart = 946.353 mL
Then 19.4 quarts are equal to: 19.4*(946.353 mL) = 18,359.2 mL
Which expression is equivalent to 1. 2y + 4. 5 - 3. 4y - 6. 3
A. 4. 6y - 1. 8
B. -2. 2y + 11. 1
C. 5. 5y - 10. 2
D. -2. 2y - 1. 8
Answer:
D I looked it up and it said D hope it's right
2 times 8 dividedn by one
Answer:
16
Step-by-step explanation:
2*8=16
16/1=16
3x+6=9
Solve for x.
Still need more characters.
Bloop.
3x + 6 - 6 = 9 - 6
3x = 3
x = 3/3
x = 1
check
3 * 1 + 6 = 3 + 6 = 9
Answer:
x=1
Step-by-step explanation:
3(1)+6=9
3+6=9
9=9
hope this helps
pls mark brainliest
PLEASE ANSWER I WILL MARK BRAINLIST
Answer:
1.1/8
2.because multiply the numerator by the reciprocal of the denominator
Step-by-step explanation:
i think the answer is 4 x 2. i hope its right
Given the relation R = {(−2, 3), (b, 4), (1, 9), (0, 7)}, what value for b would make this relation NOT a function.
A.8
B.3
C.4
D.0
Answer:
D. 0
Step-by-step explanation:
A function must not have 2 or more first number or X that have the same value.
Felicia is considering two companies for the installation of her new carpet. The carpet companies installation rates are shown.
Carpet Company A: C = 1.35y + 100 where c is the cost and y is the number of square yards.
Carpet Company B: This company charges $2.05 per square yard for the carpet and the installation.
Identity the unit rate in dollars per square yard for each carpet company.
Using linear function concepts, it is found that the unit rate in dollars per square yard is of $1.35 for Company A and of $2.05 per Company B.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, for company A, the function is:
A: C = 1.35y + 100.
For company B, the function is:
B: C = 2.05y.
Considering the slopes, the unit rate in dollars per square yard is of $1.35 for Company A and of $2.05 per Company B.
More can be learned about linear function concepts at https://brainly.com/question/24808124
The price of one pair of shorts is $45.00. There is a 15% discount if you purchase four or more pairs. What is the total cost, before tax, for six pairs of shorts? (1 point)
O $180.00
$205.50
$229.50
$235.50
Answer:
$229.50
Step-by-step explanation:
Given;
The price of one pair of shorts is $45.00.
There is a 15% discount if you purchase four or more pairs
To FInd;
What is the total cost, before tax, for six pairs of shorts?
Solve:
Since one pair of shorts is $45
Then six pairs of shorts =
$45 x 6 = $270
Now it also says "There is a 15% discount if you purchase four or more pairs". So we buy six pairs thus, it more than four.
Hence,
$270 x 15% = 40.50
$270 - 40.50 = 229.50
Hence, Answer = $229.50
~Learn with Lenvy~
26,24.5,23
arithmetic or geometric
recursive formula :
explicit formula :
9th term :
Answer:
I don't know the answer but have a amazing day!<3
Step-by-step explanation:
Be happy.
Keith weighs 200 pounds. He wants to weigh less
than 175 points. If he can lose an average of 2 pounds
per week on a certain diet, how long should he stay
on his diet to reach his goal weight?
Answer:
13
Step-by-step explanation:
In the equation 6 +7f-1, what is the variable?
A. 6
B. 7
C. F
D.1
Answer:
C
Step-by-step explanation:
A variable is the letter (AKA: Unknown value)
Answer: C. F
Step-by-step explanation:
its proportion
please help ASAP
im offering 90 points
Here we can solve this question using Unitary Method . As ;
→ In 17hrs the boat travels 452km
→ In 1hr the boat will travel 452km/17
→ In 9hrs the boat will travel 452/17km * 9 = 239.29km
[tex]\rule{200}4[/tex]
Answer 1b:-→ A car can travel 156km on 13L gasoline .
→ It will travel 1km on 13/156L of gasoline .
→ It will travel 480km on 13/156*480L = 40L of gasoline .
[tex]\rule{200}4[/tex]
Answer 2a :-→ A boat can go 180 miles on 60L gasoline.
→ It will go 1mile in 60/180L of gasoline.
→ It will go 306 miles in 60/180*306L = 102L of gasoline .
[tex]\rule{200}4[/tex]
Answer 2b :-→ On 51L of gasoline a car can go 408km
→ On 1L of gasoline car will go 408/51 km
→ On 11L of gasoline it will go 408/51*11L = 88km
[tex]\rule{200}4[/tex]
Whats the difference to 5,673+4,811-2,429
Answer: 8055
Step-by-step explanation:
Help! I will Award Brainlist it's A Math Question Point C maps to which point?
G
Just observe both pictures
The similarity is given by
B~HC~GD~FA~EHence option B is correct
please answer the following and give a good explanation
Answer:
c
Step-by-step explanation:
12 = 24, and 4 = 8 thats all that is
Is 6 divided by (-3) the same as (-6) divided by 3? Why?
Answer:
sorry for the late answer but yes, it is the same. Because 6 divided by -3 is equal to -2. And if we do -6 divided by 3, we get -2 as well.
Step-by-step explanation:
Philip is making snack mix to take on his family's upcoming road trip. He mixes 2 pounds each of pretzels, peanuts, and cheese crackers. Then, he splits the mix evenly among 12 bags. How many ounces of snack mix does Philip put in each bag? SHOW YOUR WORK OR BAD REVIEW
Answer:
Alrighty :)
Step-by-step explanation:
2 lbs = 32 oz
32 oz x 3 bags = 96 oz
96 oz ÷ 12 bags = 8 oz/bags
He split the mix evenly into 12 bags with each being 8 oz/bag.
I hope this helps :)
please help me please
Answer:
○ [tex]\displaystyle -4[/tex]
Step-by-step explanation:
When [tex]\displaystyle f(x)[/tex]is [tex]\displaystyle 0,[/tex]you relocate to the x-axis to find the x-coordinate, and happens to be [tex]\displaystyle -4.[/tex]
I am joyous to assist you at any time.
Mrs. Parker bought several items at a sale recently. She bought 4 towels
for $6.58 each, a set of 6 glasses for $6.58, a shower curtain for $15.80, 3
throw pillows for $11.19 each, and a pair of pillowcases for $12.50. How
much change did she get from a hundred-dollar bill?
her purchases
4 x 6.58 + 6.68 + 15.80 + 3 x 11.19 + 12.50
= 26.32 + 22.48 + 33.57 + 12.50
= 94.87
she gave 100
she got back : 100 - 94.87 = $5.13
(6x + 6) + ( -3 - 4x )
Answer:
2x+3 :)
Step-by-step explanation:
Pam Everett earned gross wages of $378. Pam's deductions were: $28 in federal withholding taxes, 6.2% in Social Security taxes, 1.45% in Medicare taxes, $20.4 in health insurance, and $28 in union dues. Find the total deductions from Pam's gross pay.
Answer:
Total deductions = $105.317
Step-by-step explanation:
Gross earning = $378
Deductions:
Federal withholding tax = $28
Social security tax = 6.2% of $378 = $23.436
Medicare tax = 1.45% of $378 = $5.481
Health insurance = $28
Total deductions is gotten by summing up all values above
28+23.436+5.481+20.4+28
= $105.317
The difference between gross earning and deductions
= 378-105.317
= $272.683
is 3/5 + 3/5 negative or positive
Answer:
positive
Step-by-step explanation:
when there is no sign in front of the numbers, we can assume that the numbers are positive
could u do a step by step explanation if u do do this please and thank u!!
Answer:
29/200=0.14500
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "14.5" was replaced by "(145/10)".
Step 1:
simplify 29/2
Equation at the end of step:
29/2 ÷ 100
Step 2:
Divide 29/2 by 100
Final result :
29/200=0.14500
I really need this answer.
Answer:
I thinks its a or c
Step-by-step explanation:
Hope that helps
21 is what percent of 12?
Answer:
Step-by-step explanation:
57.14
The scale on a map reads 2 inches = 5 miles. What is the actual distance between two cities on the map that are 6.5 inches apart?
A. 2.6 miles
B. 13 miles
C. 32.5 miles
D. 16.25 miles
Answer:
D
Step-by-step explanation:
2:5 is the ratio for this problem. Divided 2 by 2 and divide 5 by 2. 1:2.5. Next, do 6.5 x 2.5.
In at least 100 words independently write your response to the statement, "Anyone can do well in math."
Answer:
I believe that this is true. Anyone can do well in math, not everyone. The main difference being that if EVERYone could, that means every one person in the world, no matter the circumstance, so by saying ANYone, it's saying that however many people in the world want to do it, can do it, if they try and put in the work. Math is not biased against any one person, nor is it favored for any one person. Any person who studies, or learns it can do well in math. Someone who has never learned anything about math will not do well at all. So, yes, ANYone can do well, but not EVERYone.
Not 100 words, but should do trick if you just add in some extra words between phrases, and substitute some words with one or two synonyms.
Noah can't wait for lunchtime. Today is taco day! The cafeteria made three times as many beef tacos as chicken tacos and 50 more fish tacos as chicken tacos. They made 945 tacos in all. How many more beef tacos are there than fish tacos? Correct answer with units (if applicable) is worth 2 points; correct answer only is worth 1 point.
Answer:
308 beef tacos
Step-by-step explanation:
Let chicken tacos = c
Let beef tacos = 3c
Let fish tacos = c + 50
945 = c + 3c + c + 50
Simplify to 945 = 5c + 50
Subtract 50 on both sides and divide 5 to get
chicken tacos = 179
Plug in 179 to beef tacos to get 179*3 = 537
Plug in 179 to fish tacos to get 179 + 50 = 229
Subtract 537-229 to get how many more beef tacos than fish tacos, and so the answer is 308 beef tacos