Answer:
teo= 15 years old
richard= 27 years old
Step-by-step explanation:
richard=r
teo=t
r + t=42
t + 12= r
u can use substitution here
(t+12) + t=42
2t + 12= 42
2t=30
t= 15
to find r, you just do 15 + 12= 27
to check you can do 27 + 15= 42
The age of Richard and Teo will be 27 years and 15 years, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Richard and Teo are 42 years old. Richard is 12 years older than Teo.
Let x be the age of Richard and y be the age of Teo. Then the equation is given as,
x + y = 42 ...1
x = y + 12 ...2
From equations 1 and 2, then we have
y + 12 + y = 42
2y = 30
y = 15
Then the value of the variable 'x' is given as,
x = 15 + 12
x = 27
The age of Richard and Teo will be 27 years and 15 years, respectively.
More about the solution of the equation link is given below.
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what is 2 + (-7/20)? I've been trying to figure it out for a while but i cant seem to get the right answer.
A town’s population is 60,375. An average of 125 people move into the town each month. Write an equitation to find m, how many months will population of the town be equal to 64,875?
A. 125m+ 60,375=64,875
B. 64,875m+ 125 =60,375
C. 60,375m+ 125 =64,875
D. 125m+ 65,875 = 60,375
y=12x=25 help please
Answer:
Simplifying
y = 12x + 25
Reorder the terms:
y = 25 + 12x
Solving
y = 25 + 12x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 25 + 12x
Step-by-step explanation:
I tried
If 3 pens cost $2, then how many can can you buy with $20
Answer:
30
Step-by-step explanation:
1. Write a story about Sylvia's bike ride home. Include as many details as you
can about distance, time, and speed. (You can refer to the segment #'s in
your story if you find it helpful)
Answer:
sylvia is biking home (segment 1) she is traveling at a constant rate of a mile every 15 minutes, she then takes a 20 minute break relizing she dropped something, she goes back and finds it ten minutes later (3) then she bikes home at a rate of 7 miles per 30 minutes.
Step-by-step explanation:
Can someone please help me with this!?
Answer:
Step-by-step explanation:
triangles have always total degrees as 180 degrees
let the 3 rd angle be x
so , 70 + 62 + x = 180
70 + 62 = 132
132 + x = 180
x = 180 - 132
x = 52 degrees
part b = sorry i could not see the part b question clearly
can someone find loverboy444? thank you! who ever finds him will get a request!
Answer:
I can try
Step-by-step explanation:
Which equation is modeled below?
-x+ 1 = 2x+ 3
X+(-1) = 2x+3
X+(-1) = 3x+2
-2x = 2x+3
Answer:
Step-by-step explanation:
First one
Answer:
A
Step-by-step explanation:
can you figure out the answer please
Answer:
h = — 10.071
Step-by-step explanation:
Look at the picture for my work.
Emily's car broke down the weekend before she started a new job. She borrowed $880 from her parents, at an annual interest rate of 3%, to quickly pay for the car repairs. If Emily paid her parents a total of $893.20 in six months, how much simple interest did she pay?
Answer:
$13.2Step-by-step explanation:
Step one:
given data
principal=$880
rate= 3%
final amount = $893.2
time t= 6 months =0.5 years
Step two:
Required
Simple interest
SI=PRT/100
SI=880*3*0.5/100
SI=1320/100
SI=13.2
She paid Simple interest of $13.2
given vectors u=(-2,3) and v=(-6,9) what is the measure of the angle between u and v?
a. 0
b. 86
c. 91
d. 180
Answer: 91
Step-by-step explanation:
Angle between the two vectors u and v is option (a) 0 degree
What is Vector?Vector, in mathematics, a quantity that has both magnitude and direction
Given,
u=(-2,3)
v=(-6,9)
Angle between the two vectors θ =[tex]cos^{-1} \frac{u.v}{|u| |v|}[/tex]
[tex]u.v=(-2)(-6)+(3)(9)\\u.v=12+27\\u.v=39[/tex]
[tex]|u|=\sqrt{-2^{2}+3^{2} } \\|u|=\sqrt{13}[/tex]
[tex]|v|=\sqrt{-6^{2}+9^{2} } \\|v|=\sqrt{117}[/tex]
Angle between two vectors θ =[tex]cos^{-1} \frac{u.v}{|u| |v|}[/tex]
θ=[tex]cos^{-1} \frac{39}{\sqrt{13}.\sqrt{117} } \\cos^{-1}\frac{39}{39}\\ cos^{-1}1=0[/tex]
Hence, the angle between the vectors u and v is 0 degree
Learn more about vector here
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Solve the inequality 7x - 11 < 9x + 22.
Answer:
x>-33/2
Step-by-step explanation:
this is because you must solve the equation. when you divide by a negative number in order to get the x alone the sign of the inequality flips.
Answer:
[tex]x > \frac{ - 11 - 22}{2} [/tex]
Step-by-step explanation:
Step 1: Subtract 7x7x from both sides.
−11<9x+22.−7x
Step 2:Simplify 9x+22.-7x9x+22.−7x to 2x+22.2x+22.
−11<2x+22.
Step 3:Subtract 22.22. from both sides.
−11−22.<2x
Step 4:Divide both sides by 22.
[tex] \frac{ - 11 - 22}{2} < x[/tex]
Step 5, Switch sides.
[tex] x > \frac{ - 11 - 22}{2} [/tex]
I hope it helps you.
Five out of eight birds that visited the feeder ate the birdseed. If 60 birds ate the birdseed today, how many birds visited the feeder?
Answer:
Therefore, the birds visited the feeder = 96
Step-by-step explanation:
Five out of eight birds that visited the feeder ate the birdseed.
i.e. the ration is: 5/8
Given that 60 birds ate the birdseed today.
Note that if we multiply '5' by '12', we get the number 60.
Now, all we need to is to also multiply '8' by '12' to maintain the initial ratio which is 5/8.
i.e. (5×12) / (8×12) = 60/96
Therefore, the birds visited the feeder = 96
David says that the numbers 2 and 4 are both composite numbers. Sarah says that 2 is a prime number and 4 is a composite number. Which statement explains who is correct?
Answer: Sarah is correct
Step-by-step explanation:
A composite number is referred to as a positive integer which is gotten when someone multiplies two positive integers that are smaller than the number. We should note that we should not use one while multiplying.
A prime number is a number that can only be divided when the number is being divided by one and itself. Examples are 2, 3, 7, 11 etc.
Based on the above analysis, 2 is a prime number while 4 is a composite number. Therefore, Sarah is correct.
30 inches in centimetres
Answer:
76.2 cm
Step-by-step explanation:
If you convert, said inches, it wouldn't be an exact number, but it would equal 76.2.
1. What is the measure of angle 4?
2. What is the measure of angle 1?
3. What the measure of angle 3?
4. What is the measure of angle 6?
5. What is the relationship between angles 4 and 5?
Answer:
d
Step-by-step explanation:
is answer sd
Given g(x)=4-2(3-x), what is the value of g(1)
Answer:
g(1) = 0
Step-by-step explanation:
To evaluate g(1) , substitute x = 1 into g(x), that is
g(1) = 4 - 2(3 - 1)
= 4 - 2(2)
= 4 - 4
= 0
Answer: its 0
Step-by-step explanation:
Find the square root of -36.
A-6
B 6
C Cannot be done
Answer: C) Cannot be done
Taking the square root of a negative number is not possible unless you involve complex numbers. If your teacher has not introduced that topic yet, then you just simply say "cannot be done" or something along those lines.
35
How do you write as a percentage?
50
Answer:
0.7 is a decimal and 70/100 or 70% is the percentage for 35/50.
Step-by-step explanation:
Hope this helps!
please help asap , explain how you got the answer .
Answer:
f(x)= -2/5x-4
Step-by-step explanation:
-2/5 is the slope and -4 is the y intercept
please answer the question. Anderson deposits $700 into a savings account that pays a simple interest of 2% per year. Which of the following would be the total amount in her savings account at the end of 10 years?
Answer:
840
Step-by-step explanation:
2% of 700 is 14. Multiply 14 by 10 years, and then add that result (140) to the original amount
URGENT!!!! HELP PLEASE!!!
Use the given information to solve for x.
x+3
2x-9
What is x?
Answer:9
Step-by-step explanation:
A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.
Answer:
28 shirts
Step-by-step explanation:
Let's see what we are given.
there are x amount of shirts ($616 total)
there are 12 in a dozen
the regular shirts are $16
the last 12 shirts are $14
Lets make an equation.
616= 14(12) + 16x
616=168+16x
448=16x
x=28
(Sorry if this explanation is bad)
5. The table below shows the participation in a school's debate club
during the last four years,
Year
1
2
3
4
Students
14
19
25
33
Between which two years did the club see the greatest growth?
By what percent did it grow? Round to the nearest whole number.
Q3-4
lol
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
40/50
Given the point A(3,4) find the coordinates of three other point to create a parallelogram ABCD that isnt a rectangle or square
Answer:
Iloveyou ayeeeeeeeeei
❤️❤️❤️
Which of the following is not a function?
3-1
3-2
3-7
7-1
7-2
7-7
Answer:
They are all not a function
Step-by-step explanation:
a function can only have one output.
3 in this set has 3 outputs and 7 in this set has 3 outputs aswell
Help plzzzzzzzzzzzzzz
Answer:
∠P
Step-by-step explanation:
∠P is between NP and PE
it took Corinne 3 hours to do 12 pages of homework.How many pages of homework did she do per hour?
Answer:
4 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Step-by-step explanation:
12÷3=4
Tom Brady throws 100 passengers in complete 75 of them what percent of his passes are completed
Answer:
75%
Step-by-step explanation:
75/100=.75
Answer:
75%
Step-by-step explanation:
75/100 = .75
If it was 50 throws that were completed it would be 50% because 50/100 = .50
