Simplifying
P + -21 + -21 = 34 + -21
-21 + -21 + P = 34 + -21
Combine like terms: -21 + -21 = -42
-42 + P = 34 + -21
Combine like terms: 34 + -21 = 13
-42 + P = 13
Solving
-42 + P = 13
Solving for variable 'P'.
Move all terms containing P to the left, all other terms to the right.
Add '42' to each side of the equation.
-42 + 42 + P = 13 + 42
Combine like terms: -42 + 42 = 0
0 + P = 13 + 42
P = 13 + 42
Combine like terms: 13 + 42 = 55
P = 55
Simplifying
P = 55
Denise has 6 hours to spend for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 7mph and walks back at a speed of 3 mph, how long should she plan to spend walking back?
Answer:
She walks back for 4.2 hours
Step-by-step explanation:
Notice that we don't know the distance of the race (so let's name it "d").
She clearly would spend less time running (t1) the distance d at 7 mph, than when coming back walking (t2) at 3 mph.
But we know that the addition of both times must be 6 hours which is what she has to spend:
t1 + t2 = 6
Considering the equation that relates distance (D), time(t) , and speed (v) as:
v = D/t
we can solve for the times t1 and t2 in each trip (running vs walking){
t1 = d/7
t2 = d/3
then when we add these two equations term by term, we get:
t1 + t2 = d/7 + d/3
extract d common factor;
t1 + t2 = d (1/7 + 1/3)
replace t1 + t2 with the 6 hours:
6 = d (10/21)
multiply both sides by 21, and divide both sides by 10 to isolate d:
21 * 6 / 10 = d
d = 12.6 miles
Now knowing the distance she run and walked, we can find the time she spent walking back (t2)
t2 = 12.6 /3 = 4.2 hours
A local park is renting canoes. Canoe rental costs $4.75 per hour. If you want to spend $9.50, how
many more hours (h) can you rent the canoe? *
Help
Answer:
I would say 2 hours
What is sum of the vectors, LeftAngleBracket 4, negative 5 RightAngleBracket and LeftAngleBracket 10, 2 RightAngleBracket?
ANSWER: B
14,-3
Answer:
14,-3
Step-by-step explanation:
Answer:
14, -3
Step-by-step explanation:
I got it right edg 2023
Aimee can read 24 pages in 40 minutes. How many pages per hour can Aimee read?
A) 0.6 pages per hour
B) 36 pages per hour
C) 48 pages per hour
D) 60 pages per hour
p divided by 7. The algebric expresstion is ?
Answer:
Step-by-step explanation:
Jenna painted l 1/8 of one side of a fence. Mark 3 one the other side of the same sex use greater equal or less to compare of the parts that they painted.
Answer:
?????
Step-by-step explanation:
Please help b² + 4
when b = 3
Answer:
13
Step-by-step explanation:
replace b with 3 and solve:
3² + 4 = 13
Jamie is flying a kite at the beach. Jamie ties the string to a stake in the ground and
lets out 75 feet of string. If the angle of elevation of the kite is 55 degrees, how high is
the kite from the ground to the nearest foot?
Answer:
24
Step-by-step explanation:
that is what thinkof ur answer
Answer:
Height=61 feet
Step-by-step explanation:
Height=sin 55 degrees x 75
Height=0.8192 x 75
Height=61.43
Look at this sequence starting with the FIRST TERM:
(a) 3, 7, 11, 15...
A Geometric
B Arithmetic
What is the rate of change?
(c) The Recursive Equation is:
Answer:
B.Arithmetic
Step-by-step explanation:
because the terms have a first common difference
the rate of change is 4
Helpppp pleaseeeeeeeeeeeeeee
Answer:
Step-by-step explanation: C %100
Answer:
I believe it is d but don't quote me on it
About how many classmates was Marco able to interview in the beginning of the week
what is 12 more than m
100 points and brainly please help find vertical and horizontal asymptotes (must show work)
f(x) = 2x2+4/x^2 +5x+6
Answer:
It would be very hard to graph this equation correctly as without factoring both the numerator and denominator it would be hard to account for all of the information.
x2−5x+6x2−2x−3x−6(x−2)(x−3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Note that you need to use parentheses around the numerator and around the denominator: f(x) = (2x^2+4)/(x^2+5x+6)
Division by zero is undefined, so x≠-2 and x≠-3.
Vertical asymptotes: x=-2, and x=-3
As x approaches ∞, f(x) approaches 2.
As x approaches -∞, f(x) approaches 2.
Horizontal asymptote: y=2
The sum of three consecutive odd integers is 105.
What is the first integer?
Answer: how about 105/3 = 35, therefore the middle number is 35, and the 3 numbers are 33, 35, and 37.
Step-by-step explanation:
HELPPOOOPPPPPPPP MEEE
Answer:
(24x - 48y + 10) / 26 = a
Step-by-step explanation:
-12(-2x+4y) = 26a - 10
24x - 48y = 26a - 10
24x - 48y + 10 = 26a
(24x - 48y + 10) / 26 = a
4/10x 6/4 x 2/3=
Product:
Reduced answer:
( ( 4 /10 x)(6) /4 x)(2) /3
Product: 2 /5 x^2
Simplified: You can't simply that.
(I hope this is correct, correct me if I'm wrong.)
8 4/5-2/3-______=3 1/10
Answer:
4 6/15
Step-by-step explanation:
The picture will give the explanation of why I see 4 6/15
A_________is a set that is contained in a larger set.
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2. If there were 1833 yes votes, what was the total
number of votes?
Answer: 1,222
Step-by-step explanation:
I would set this up as a fraction
3/2=1833/x
I would divide 1833 by 3 to see what the multiple is that would be used to find the equivalent fraction. Then multiply that number by 2 to solve for x.
Another option is to cross multiply
3x=2(1833)
1833*2=3666
Divide 3x by 3 to get x alone
Divide 3666 by 3 to get answer
1222
Lydia invested $8,300 in an account paying an interest rate of 2.2% compounded
daily. Assuming no deposits or withdrawals are made, how long would it take, to the
nearest tenth of a year, for the value of the account to reach $12,690?
Number of years taken to reach the amount of $12,690 is 5 days,
What is Compound interest?Compound interest is the interest which is calculated on both the initial principal and the accumulated interest from previous periods. It can be easily understood as interest on interest.
[tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]
Principal amount invested by Lydia = $8,300
Rate of compound interest per day =2.2%
To find the number of years that have taken to reach the amount value of $12,690 .
By using compound interest formula,
[tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]
[tex]12690 = 8300(1+ \frac{2.2}{365})^(365*t)[/tex]
[tex]\frac{12690}{8300}=(1.000060274)^{365*t}[/tex]
Taking log on both sides, we get,
log(1.5289156627) =365*t log(1.000060274)
log(1.5289156627)/log(1.000060274)= 365*t/log(1.000060274)⇒
0.184383 - 0.00002618= 365*t
⇒1843.5 =365*t
⇒t=5 days.
Hence, number of years taken to reach the amount of $12,690 is 5 days,
Learn more about compound interest here:
https://brainly.com/question/3989769
#SPJ1
Wen and five friends equally share 1/3 of a pan of snack bars. Which expression shows how much of the pan each person gets?
Answer:
Step-by-step explanation:
I'm pretty sure the expression is 1/3 ÷ 6
This is because there are 6 friends in all and you are splitting 1/3 of the pan snack bars to each of them.
So, what your splitting/cutting/dividing would be the dividend (1/3) and then the friends would be the divisor (6)
4/8 on a number line is equivalent to what
Find the quotient.
0.15)6.435
Answer:
42.9
Step-by-step explanation:
Remember your decimal rules when doing long division
A spaceship traveled 1/2 of a light-year and stopped at a space station. Then it traveled 1/12 of a light-year further to a planet. How far did the spaceship travel in all?
Answer: 7/12 a light year I believe
Step-by-step explanation:
So what you do is you make the denominators of 1/2 and 1/12 the same which would be 6/12 and 1/12.
You then add them together and you get 7/12
I am sorry if this isn't right :< this is my 1st answer :>
# 1 What is the area of the trapezoid
with the following dimensions:
b1= 5 in
b2= 2 in
h= 7in
Answer:
24.5 inches
Step-by-step explanation:
area of trapezoid: (b1 + b2 /2) h
A car manufacturer produced 5.000 cars for a limited edition model Dealers sold all of these cars at mean price of $36,000 with a standard deviation of $3,000. Suppose we were to take random samples of 9 of these cars and calculate the sample mean price for each sample. Calculate the mean and standard deviation of the sampling distribution of .
Answer: Mean = $36,000 and standard deviation = $1000.
Step-by-step explanation:
The mean and the standard deviation of the sampling distribution of the sample mean:
[tex]Mean=\mu\\\\Standard\ deviation = \dfrac{\sigma}{\sqrt{n}}[/tex] , where n =sample size.
Here, we are given
[tex]\mu=\$36000,\ \ \sigma=\$3,000[/tex]
n= 9
Then, the mean and the standard deviation of the sampling distribution of the sample mean:
[tex]Mean=\$36000,\ \ Standard\ deviation=\dfrac{3000}{\sqrt{9}}=\dfrac{3000}{3}=\$1000[/tex]
Hence, Mean = $36,000 and standard deviation = $1000.
Santa and Mrs Claus are eating cookies santa ate 10/20 of the cookies and Mrs Claus ate the rest what fraction did Mrs Claus eat ?
Answer: 10/20 or 1/2
Step-by-step explanation:
10 is the half of twenty, if she’s gonna eat the rest, she’s gonna eat the other half
Santa ate 10/20. right?
so you would subtract 10 from 20
which would give you 10
so Mrs. Claus also ate 10/20
-----
Another way to solve:
since 10/20 = 50%
Mrs. Claus ate the same amount
because 50% is half of 100% ( 1 whole )
So, Mrs. Claus ate 10/20
6= w-56/-7 , what is the value of w?
Answer:
-2
Step-by-step explanation:
If a figure is dilated by a factor of 1.5, the area of the figure will change by a factor of
Answer:
The figure will change by a factor of 2.25.
Step-by-step explanation:
When the lengths (1-dimensional) change by a factor 1.5 (the definition of dilating a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.
At a local pet store, there are 5 cats for every 2 dogs. If there are 8 dogs, how many cats are at the pet store? 03 cats O 12 cats o 20 cats O 24 cats
Answer:
20
Step-by-step explanation:
ok so for every 2 dogs is 5 so 2,5; 4,10; 6,15; 8,20.
