Answers:
Sam's current age = 24The mother's current age = 48=========================================================
Explanation:
s = Sam's age right now
2s = the mother's age right now, since she is twice as old as Sam currently.
In 12 years time, Sam will be s+12 years old.
12 years ago from this current year, the mother was 2s-12 years old.
Since we're told these future and past ages line up, this means s+12 and 2s-12 are the same value
Set the expressions equal to one another and solve for s.
s+12 = 2s-12
s-2s = -12-12
-s = -24
s = 24
Sam is currently 24 years old.
His mother is currently 2s = 2*24 = 48 years old.
12 years ago, his mother was 2s-12 = 48-12 = 36 years old.
12 years from now, Sam will be s+12 = 24+12 = 36 years old.
Since we get 36 each time, this confirms we have the correct answers.
I NEED HELP I WILL GIVE BRAINLIEST
Answer: 36
Step-by-step explanation:
were my brainliest
What is another way to express this problem
Answer:
It would be 16(3+2)
Step-by-step explanation:
Because, 16 times 3 is 48, Then 16 times 2 is 32. You add them then you get 80, which is the same answer as the original problem
MATH HELP!! ASAP!!! MARKING BRIAINLIEST!!
Answer:
18 meters.
Step-by-step explanation:
The ratio is 1cm:2m, so for every centimeter, you multiply it by 2 and convert it to meters. So, 9 cm time 2 equals 18 and then add meters, so 18 meters.
(hope this helps :P)
I Need Help Finding The Equivalent Expression.
Answer:
9y+45
Step-by-step explanation:
just multiply 9 by (y+5) that's what it means when it's right next to the parentheses without a sign in the middle.
Answer:
9y + 45
Step-by-step explanation:
9 multiplied by y is 9y
9 multiplied by 5 is 45
we cant add 9y and 45 because 9 has a y next to it but 45 does not.
I hope this helped! :)
Evaluate f(x) = 5x – 8 when 8 when I = -3.0, and 4.
Answer:
f(3)=3
Step-by-step explanation:
Plugin 3 for x, and simplify
f(x) =5(x)−12
f(3) =5(3)−12
=15−12
f(3)=3
Please help me! (Tangent Ratios) (20 points)
Answer:
Tan A for first page 25/49
Tan A for second page 37/49
Tan B for first page 24/49
Tan B for second page 12/49
Which expression is equivalent to 210d 2 − 63d ?
Answer:
Step-by-step explanation:
21d(10d+3(
The expression which is equivalent to 210d² − 63d is; 21d(10d- 3).
Factorization of ExpressionsFrom the given expression;
210d² − 63dA factor which is common to both terms of the expression is; 21d.
On this note, the factorisation of the expression yields;
21d(10d- 3).Read more on factorisation;
https://brainly.com/question/25829061
find the lenght of side a will give crown
Answer:
D) 4
Step-by-step explanation:
Pythagorean theorem,
base² + altitude² = hypotenuse²
3² + altitude² = 5²
9 + altitude² = 25
altitude² = 25 - 9
altitude² = 16
altitude = √16 = 4
The sum of a number and seven is less than 12
Answer:
Step-by-step explanation:
X+7 < 12
Which of the following is an equivalent fraction for 2/3? *
1. 6/9
2. 2/8
3. 12/20
4. 10/30
Answer:
6/9 because if you multiply 2/3times 3 its 6/9 which when simplified is 2/3
In order to create a system of equations with the same solution as the system {x+y=102x+y=14, { x+y=10 2x+y=14 , Camilo multiplied both sides of the second equation by a number, added the new equation to the first equation, and replaced the first equation with the result. Which system of equations could be Camilo's new system?
Answer:
-3x-y=-18
2x+y=14
Step-by-step explanation
i re took the test until i got it right to answer this lol, its correct and good luck with school
Chase has 8 ounces of coffee beans. If each cup of coffee requires 1/9 ounces of coffee beans how many cups of coffee can chase make?
Answer:
Chase will be able to make 4 cups
Write the numerical expression in words.
(10-1) divided by 3
10+(5-3)
(7+3)x5
Step-by-step explanation:
ten minus one divided by three
ten plus five minus three
seven plus three times five
You are the owner of four Taco Bell restaurant locations. You have a business loan with Citizens Bank taken out 60 days ago that is due in 90 days. The amount of the loan is $50,000, and the rate is 9.5% using ordinary interest. You currently have some excess cash. You have the choice of sending Citizens $35,000 now as a partial payment on your loan or purchasing an additional $35,000 of serving supplies such as food containers, cups, and plastic dinnerware for your inventory at a special discount price that is "10% off" your normal cost of these items. (a)
Answer:
(a) The amount of interest you will save on this loan if you make the partial payment and don't purchase the additional serving supplies is $553.80.
(b) The amount you will save by purchasing the discounted serving supplies and not making the partial payment is $2,946.20.
Step-by-step explanation:
Note: This question is note complete. The complete question is therefore presented before answering the question as follows:
You are the owner of four Taco Bell restaurant locations. You have a business loan with Citizens Bank taken out 60 days ago that is due in 90 days. The amount of the loan is $50,000, and the rate is 9.5% using ordinary interest. You currently have some excess cash. You have the choice of sending Citizens $35,000 now as a partial payment on your loan or purchasing an additional $35,000 of serving supplies such as food containers, cups, and plastic dinnerware for your inventory at a special discount price that is "10% off" your normal cost of these items.
(a) How much interest will you save on this loan if you make the partial payment and don't purchase the additional serving supplies?
(b) How much will you save by purchasing the discounted serving supplies and not making the partial payment?
Explanation of the answers is now given as follows:
(a) How much interest will you save on this loan if you make the partial payment and don't purchase the additional serving supplies?
Since an ordinary interest is used, it implies that the total interest amount has to be calculated based on a 360-day year instead of a 365-day year. Therefore, the the interest saved can be calculated as follows:
I_$50K = PRT ........................ (1)
Where,
I_50K = Total Interest on the original $50,000 loan = ?
P = Principal = $50,000
R = interest rate = 9.5%
T = Number of days in the loan period / 360 = (60 + 90) / 360 = 150 / 360 = 0.416666666666667
Substituting the values into equation (1), we have:
I_$50K = $50,000 * 9.5% * 0.416666666666667
I_$50K = $1,979.17
Daily interest on $50,000 loan = I_$50K / Number of days in the loan period = $1,979.17 / 150 = $13.19
Also, we have:
I_PB = PRT ........................ (2)
Where,
I_PB = Innterest on principal balance = ?
P = Principal balance = $50,000 - $35,000 = $15,000
R = interest rate = 9.5%
T = Number of days remaining / 360 = 60 / 360 = 0.166666666666667
Substituting the values into equation (2), we have:
I_PB = $15,000 * 9.5% * 0.166666666666667
I_PB = $237.50
Daily interest on principal balance = I_PB / Number of days remaining the loan period = $237.50 / 60 = $3.96
Daily interest to save = Daily interest on $50,000 loan - Daily interest on principal balance = $13.19 - $3.96 = $9.23
Interest amount to save on the loan = Number of days remaining * Daily interest to save = 60 * $9.23 = $553.80
Therefore, the amount of interest you will save on this loan if you make the partial payment and don't purchase the additional serving supplies is $553.80.
(b) How much will you save by purchasing the discounted serving supplies and not making the partial payment?
This can be calculated as follows:
Discount receivable from purchasing serving supplies = Cost of serving supplies * Discount rate = $35,000 * 10% = $3,500
Amount to save by purchasing serving supplies = Discount receivable from purchasing serving supplies - Interest payable on loan for the remaining 60 days ................ (2)
Where;
Discount receivable from purchasing serving supplies = $3,500
Interest payable on loan for the remaining 60 days = Interest amount to save on the loan as calculated in part (a) = $553.80
Substituting the values into equation (2), we have:
Amount to save by purchasing serving supplies = $3,500 - $553.80 = $2,946.20
Therefore, the amount you will save by purchasing the discounted serving supplies and not making the partial payment is $2,946.20.
Mrs. Lynch has noted that 7 out of every 10 pieces of mail she gets are junk mail. What percent of her mail is junk?
Answer:
70%
Step-by-step explanation:
Any thing out of ten would be any ten out of a hundred. Just move the decimal back two places and you get 70%
A and B are two similar shapes the area of shape A is 200cm2 calculate the area of shape B
Answer:
Area of shape B = 312.5 cm²
Step-by-step explanation:
Ratio of Area of A : Area of B = 12² : 15²
Given that area of A is 200 cm², let the area of shape B = x
Therefore:
200:x = 12²:15²
200/x = 144/225
Cross multiply
144x = 200*225
144x = 45,000
x = 45,000/144
x = 312.5 cm²
Area of shape B = 312.5 cm²
Which point is NOT part of the solution set?
1,128= 6(x+18) please answers
i
need
Answer:
56
Step-by-step explanation:
Answer:
=6876
Step-by-step explanation:
6(1128+18)
Pls help (have a good day Jesus loves you )
Answer:
512
its definitely not 6561
Can you guys make sure what I've done so far is right and fill in the last box? It is due today, February 24, 2021.
Answer:
yes, you are correct so far, the last box should be 12
Step-by-step explanation:
12 is the y-intercept in this problem because at 0 hour, there were 12 people
The length of a garden is 23m, correct to the nearest metre.
Write down the least possible length of the garden.
Answer:
22.5m
Step-by-step explanation:
Since it's correct to the nearest metre, it has an interval of ± 0.5
Using rounding concepts, it is found that the least possible length of the garden is of 22.5m.
------------------
If the first decimal digit is between 0 and 4, rounding to the nearest integer, the integer part remains the same.If the first decimal digit is between 5 and 9, rounding to the nearest integer, one is added to the integer part.Thus, in the context of this problem, garden lengths between 22.5 and 23.4 are rounded to 23m, and thus, the least possible length of the garden is 22.5m.A similar problem is given at https://brainly.com/question/13241511
NEED HELP ASAP!!! 50 POINTS!!! WILL MARK BRAINLIEST
2. The following triangle, ∆, has angle measures as shown.
Step 1: What is the measure of angle C? Show your work.
Step 2: What is the value of x? Show your work.
Answer:
x=29. Angle C= 93
Step-by-step explanation:
3(x+2)= 3x+6.
3x+6+52+35= 3x+93.
180-93=87.
87/3= 29. So that means x=29.
for proof you can do 3(29)+93 and you'll get 180.
For angle C; 3(29+2)= 3x31. 31x3= 93.
Angle C= 93 degrees.
Can someone Please answer some of these questions Please ASAP Thank you:)) (20 points)
Answer:
for #1 it's 1, 4, 5, 6
for #2 it's both lines have the same slope
for #3 it's both lines have a different y-intercept
Step-by-step explanation:
#1 explanation: all of them have the y-intercept of -8
ex. y = 3x (- 8) y = 5x (-8) y = 2x (-8) y = (1/3)x (-8)
#2 explanation: both have a slope of (1/4)
#3 explanation: y = (1/4)x there is not y-intercept that we know of and y = (1/4)x - 5 the y-intercept is at -5 therefore the y-intercepts are different
Which set of ordered pairs does not represent a function?
A.{(-3,7), (-6, -6),(-2, -9), (-2,9)}
B. {(7,-5), (-9,-5),(-4,-8), (-2,-4)}
C. {(-8,-5), (0,–2),(-3, -2), (4,5)}
D.{(8,8), (7,9), (-3, -8),(4, -8)}
Answer:
a.
Step-by-step explanation:
Evaluate: ¼ (6² +3 x 4)+| - 7|
Suppose a calculator manufacturer has the total cost function
C(x) = 22x + 6600
and the total revenue function
R(x) = 66x.
(a) What is the equation of the profit function P(x) for the calculator?
P(x) = _________
(b) What is the profit on 2800 units?
P(2800) = $________
Answer:
a) P(x) = R(x) - C(x)
P(x) = 66x - 22x - 6600 =
44x - 6600
b) P(2800) = 44(2800) - 6600 =
$116600
A box contains 4 bags of sugar. the total mass of all 4 bags is 6 kg what is the mass of each bag in grams
Answer:
Divide by 4 to get the mass of a single bag and then multiply by 1000 to get to grams from kilograms
Step-by-step explanation:
6/4=1.5
1.5*1000=1500
So, in total a bag of sugar would cost 1500
2/p + 3 p = 3/5. plz answer quick
Answer:
Not possible
Step-by-step explanation:
2/p + 3p=3/5 is impossible because p can't equal the same thing.
The top of a coffee table is in the shape of a rectangle,
The length of the top of the coffee table is 3.5 feet and
the area is 105 square feet. What is the width of the top
of the coffee table
Answer:You would need to do 10.5/3.5. This equals 3ft
Step-by-step explanation:
The Hokies family spends 600$ Per month on groceries for their family if this is 15% of their monthly budget then what is their monthly budget
Answer:
4000
Step-by-step explanation:
15%-> 600
100%-> 4000