Answer:
Tanya is 18 years old.
Step-by-step explanation:
In order to determine this, we assume the following
x = tens digit of the age of Tanya, and also the hundreds digit of Tanya's great-grandfather age
y = units digit of the age of Tanya, and also the units digit of Tanya's great-grandfather age
Therefore, we have:
10x + y = (1 / 6) * (100x + y)
Multiply both sides by 6, we have:
[10x + y] * 6 = [(1 / 6) * (100x + y)] * 6
60x + 6y = 100x + y
Collect the like terms, we have:
6y - y = 100x - 60x
5y = 40x
Divide through by 5, we have:
y = 8x
That is,
8x = y
Note that x and y has to be single digits. This can only be obtained only when x = 1 and y = 8. And given how x and y is defined above, we have:
The age of Tanya = 18
This can be verified as follows:
18 = 108 / 6
18 * 6 = 108
108 = 108
Therefore, Tanya is 18 years old.
A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows 1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month. How many months ( ) m does the zookeeper need to wait for the two snakes to be the same length? a. Write the question or problem statement for the situation. _______________________________________________________________________________ _______________________________________________________________________________ b. Write the general form of the equation. _______________________________________________________________________________ c. Write the verbal and variable expression for the left side of the equation. _______________________________________________________________________________ d. Write the verbal and variable expression for the right side of the equation. _______________________________________________________________________________ e. Write the final algebraic equation with variables on both sides. Include what the variable represents in the problem. Include appropriate units. ____________________________________________________________
Answer:
see below
Step-by-step explanation:
a. We want to see when the two snakes will be the same length.
b. b1 + r1m= b2 + r2m where b is the initial length and m is the number of months and r is the growth rate
c. for the anaconda 5.23 + 1.27 m where m is the number of months, and the total length is in meters
The anaconda starts at 5.23 meters and grows 1.27 meters each month for m months
d. for the python 4.76 + 2.04m where m is the number of months, l is the length of the python in meters
The python starts at 4.76 meters and grows 2.04 meters each month for m months
e. 5.23 + 1.27 m = 4.76 + 2.04m m is the number of months Each side is the number of meters
5+3(-x-9)+ 4x – 2(5x-1)
Answer:
=20 -9x
Step-by-step explanation:
5+3(-x-9)+ 4x – 2(5x-1)
=5 -3x -27 + 4x – 10x + 2
=5 + 2 -27 -3x + 4x – 10x
=20 -9x
The area of a square poster is 92 square inches. What is the length of one side of the poster to the nearest tenth.
Answer:
23 square inches
Step-by-step explanation:
92/4
Each team earns 1 point for each person who participated in the track-and-field day. Who wins the meet---the eighth graders or the seventh graders?
Answer:
THE SEVENTH GRADERS
Step-by-step explanation:
next time give more context tho, but the seventh graders got 712 points while the eighth graders got 332 points. love from granny smith y'all!
Answer:
7th
Step-by-step explanation:
sup
PLEASE HELP ME
Factor the common factor out of each expression
2) 7b + 28b
7b(1 + 4)
The 7b is shared between the two numbers, so factor it out
Which polynomial functions are written in
standard form? Select all that apply.
f(x) = 8-25
f(x) = -3.25 + 5x – 2
f(x) = 2x5 + 2x + x3
f(x) = x3 - 8x2
Answer:
B) f(x) = 3x^2+5x-2 and D) f(x)=x^3 -8x^2
Step-by-step explanation:
the degree of the polynomial function below is 5 and the leading coefficient of this polynomial function is -3 :)
Answer:
Which polynomial functions are written in standard form? Select all that apply.
B. f(x) = –3x5 + 5x – 2
D. f(x) = x3 – 8x2
Step-by-step explanation:
The degree of the polynomial function below is 5.
f(x) = –3x5 +4x – 2
The leading coefficient of this polynomial function is
✔ –3
2x – 10 = 1/2(x – 8)
Answer:
X= 4
Step-by-step explanation:
You have $60 in your bank account. Each week you plan to deposit $8 from your allowance and $25 from your paycheck. The equation b=60 + (25+ 8)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?
Answer: 3 weeks
Step-by-step explanation:
25 + 8 = 33
33+ 60 = 93
220 / 93 = 2.3 or 3 weeks
Hope this helps
Plz mark brainliest
The area of a trapezoid is given by the formula A 1/2= (b 1 + b 2)h, solve the formula for h
h=A 6/b or 6 divided b = h
2)
Which expression is equivalent to 4 to the 9th power and 4 to the 0 power
a. 4 to the 8th power
b. 4 to the 0 power
C. 4 to the 7 power
d. 4 to the 9 power
Answer:
d. 4^9
Step-by-step explanation:
Question:
Which expression is equivalent to 4^9/4^0?
a. 4^8
b. 4^0
c. 4^7
d. 4^9
Solution:
By definition, a number raised to the 0 power equals 1, with the possible exception of 0^0 which according to some is undefined.
Any number divided by 1 equals the number itself.
For example, 2/1 = 2; 5/1 = 5; -20/2 = -20.
4^0 = 1
Since 4^0 = 1, then when you divide 4^9 by 4^0 you are dividing 4^9 by 1, so you get 4^9.
4^9/4^0 = 4^9/1 = 4^9
HELP ASAPPP PLEASE HELPPPPPPP
Answer: 49.5 miles
Step-by-step explanation: So we know 1 inch is 11 miles, knowing that we can do 4.5 inches times 11 miles to get 49.5 miles. (4.5x11=49.5)
Hope this helps!
Please Mark Brainliest!
Andrea is selling candles for a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the
candles for $10 each. The function of her profit can be modeled by c(x) = 10x - 50. The x represents the number
of candles she makes. She only has enough supplies to make 100 candles. What is the independent variable?
if it is 9:39 what time would it be a hour and a half later
Answer:
It would be 11:09
Answer:
11:09
Step-by-step explanation:
30 mins after 9:30 is 10pm,add an hour that's 11 pm plus the 9 additional minutes its 11:09
ERROR ANALYSIS In Exercises 31 describe and
correct the error in finding the distance between
A(6,2) and B(1,-4).
31.
X
AB = (6 - 1)^2 + [2-(-4)]^2
=5^2 + 6^2
= 25 + 36
= 61
The student is doing great so far. However, they forgot to take the square root of that result to get the final answer of [tex]\sqrt{61}[/tex]
The exact distance is [tex]\sqrt{61}[/tex] which approximates to roughly 7.81024967590666
----------------------
This is what the steps should look like
[tex]AB = \sqrt{ (6-1)^2 + (2-(-4))^2}\\\\AB = \sqrt{ (5)^2 + (6)^2}\\\\AB = \sqrt{ 25 + 36}\\\\AB = \sqrt{ 61} \ \ \text{ Exact distance}\\\\AB \approx 7.81024967590666 \ \ \text{ Approximate distance}\\\\[/tex]
Solve for x.
[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]
x = [?]
Answer:
x= 11
Step-by-step explanation:
[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]
Multiply both sides by 2:
2(3x -5)= 12 +4x
Expand:
2(3x) +2(-5)= 12 +4x
6x -10= 12 +4x
Bring all x terms to 1 side, constant to the other:
6x -4x= 10 +12
2x= 22
Divide by 2 on both sides:
x= 22 ÷2
x= 11
Find the approximate side length of a square game board with an area of 161 in?
(m • n) • p=m • (n • p)
what property is this
Answer:
Step-by-step explanation:
5w +3w=40 simplify your answer as much as possible
Answer:
w=5
Step-by-step explanation:
8w=40
/8 /8
w=5
An airplane can fly at a rate of 600 miles per hour. How fast does an airplane travel per minute? Remember, there are 60 minutes in an hour.
Answer:
10 miles per hour I'm not sure tho just trying to help :)
Step-by-step explanation:
try to divide
Answer:
10
Step-by-step explanation:
600mph= 10miles/min
PLS HELP, a group of friends bought 6 movie tickets. they used a coupon for $2.00 off the cost of one of the tickets, and their total cost with the coupon was $50.50. write an equation that can be used to determine the regular cost C of each movie ticket
Answer:
We need more information about C.
Question 4
3 pts
James wants to estimate the sum of 3,68 and 4.24. He decided to estimate 3
different ways. What is the estimate for each way that James used?
Estimate to the nearest whole:
Estimate to the nearest half
Estimate to the nearest tenth:
Answer:
whole #372
nearest half#372.2
nearest 10th#372.24
Step-by-step explanation:
4 in 4.24 is the whole number
.20 would be nearest half
.04 is the tenth
Taino went to a professional basketball game. He spent $54.85 for a ticket, $4.99 for a hot dog, and $2.15 for a soda. What is the total amount that he spent? Use mental math to find the sum.
Answer:
$61.99
Step-by-step explanation:
To find the total, we need to add.
Let's start with the ticket and the soda.
54+2=56
0.85+0.15=1
56+1=57
Next, add the price of the hot dog.
4.99 rounds to 5, so 57+5=62
62-0.01=61.99 (here we subtracted the one cent we originally rounded up)
$61.99
Hope this helps :-)
Answer:
61.99
Step-by-step explanation:
4. A train traveled 300 miles in 2.5 hours. At this rate, how far would the train travel in 9 hours?
HELP PLEASE✨❤️
Answer:
300 miles in 2.5 hours
divide 300 by 2.5
120 miles per hour
120 x 9 = 1080
Step-by-step explanation:
Given: KM bisects JKL
Prove: m MKL= 1/2m JKL
please explain
Answer:
Step-by-step explanation:
Given :
KM bisects JKL
To Prove :
m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]
Statements Reasons
1). KM bisects ∠JKL 1). Given
2). m∠JKM = m∠MKL 2). Definition of congruent angles
3). m∠JKM + m∠MKL = m∠JKL 3). Angle addition postulate
4). m∠MKL + m∠MKL = m∠JKL 4). Substitution property of equality
5). 2m∠MKL = m∠JKL 5). Distributive property
6). m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex] 6). Division property of equality
Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes StartFraction 2 Over 3 EndFraction. of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply.
Leena consumed 1,500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation.
Leena consumed 500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 400 plus 300 right-parenthesis.(x) = x(400 + 300) can be used to model the situation.
Leena consumed 1,000 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction x left-parenthesis x plus 400 plus 350 right-parenthesis equals x.x(400 +
Answer: A and B
Step-by-step explanation:
I just took the assignment.
Answer: A and B
A.) Leena consumed 1,500 calories at dinner.
B.) The equation 2/3 (x + 400 + 350) = x can be used to model the situation.
Step-by-step explanation: i hope this helps :)
Write The slope intercept Form of the equation of a line with a slope of -4 that passes through the point (4,4)
Answer: y = 4x - 12
Step-by-step explanation:
1.Estimate square root 3
Hi help me please I don't know how to do it "using the formula evaluate (87)^2"
Answer:
7,569
Step-by-step explanation:
[tex](87)^{2} \\ = {(90 - 3)}^{2} \\ = {90}^{2} - 2 \times 90 \times 3 + {3}^{2} \\ = 8100 - 540 + 9 \\ = 8100 + 9 - 540 \\ = 8109 - 540 \\ = 7,569[/tex]
A line has a rise of 6 and a slope of 1/20.
Find the run of the line. Type a numerical answer in the space provided.
Answer:
120
Trust me it is correctGood Luck:)2.
Write an equation in point-slope form of the line that passes through the points (-2, 4) and (6,-4)
Answer:
Step-by-step explanation:
(-4 - 4)/(6 + 2)= -8/8= -1
y - 4 = -1(x + 2)
y - 4 = -x - 2
y = -x + 2