Solve for x: one over four (4x + 15) = 24
A: 45
B: 207/4
C: 81/4
D: 9
Answer:
[tex]C. x = \frac{81}{4} = 20.25[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}\left(4x+15\right)=24[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]
[tex]4\cdot \frac{1}{4}\left(4x+15\right)=24\cdot \:4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x+15=96[/tex]
[tex]\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}[/tex]
[tex]4x+15-15=96-15[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x=81[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4x}{4}=\frac{81}{4}[/tex]
[tex]Simplify[/tex]
[tex]x=\frac{81}{4}[/tex]
Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=
−
11
Answer:
P=14
Step-by-step explanation:
Since P depends on two variables x and y as the sum of the two, then;
P = 3+ 11
P = 14
I need help understanding this
Step-by-step explanation:
I am sorry but I cannot see your question
Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation?
Step 1: x^2 - 12x = -6
Step 2: x^2 - 12x + 36= -6 + 36
Ben currently has $70 in his trip fund. He makes $45 per week doing yard work for his neighbors. He keeps $18 of the $45 for weekly expenses. The remaining amount goes into his trip fund. Which function can be used to determine the amount of money (y), in dollars, that Ben has in his trip fund at the end of xx weeks?
y=70+27x
Answer:
he starts with 70 and $45-18=27 so he makes $27 to add to those $70
Step-by-step explanation:
A certain forest can support a population of 800 deer. There are currently 200 deer in the forest and their population is growing at a rate of 2% per year. Complete the sequence below that models this population growth.
It would take 70 years for the deer population to reach 800.
An exponential function is in the form:
y = abˣ
where b is the multiplier, y, x are variables and a is the initial value.
Let y represent the population and x represent the time in years.
a = 200, b = 100% + 2% = 102% = 1.02
y = 200(1.02)ˣ
For a population of 800:
800 = 200(1.02)ˣ
ln(4) = xln(1.02)
x = 70 years
It would take 70 years for the deer population to reach 800.
Find out more on exponential function at: brainly.com/question/2456547
Answer: 200, 0.02, and 800
Step-by-step explanation:
PLEASE HELP ASAP
PLZPLZPLZ
Thando would like to beat the record for the 1600m race ,the previous record was a time of 7 minutes 23 seconds .if her race starts at 11:05:17 what time does she need to end the race to beat the record ?
Answer: 11:12:40
Step-by-step explanation: If im right pls give brainliest
Answer the questions below.
(a) The perimeter of a rectangular field is 276 m.
If the length of the field is 75 m, what is its width?
Width of the field: /m
Answer:
63 m
Step-by-step explanation:
Perimeter is 276, 2L + 2W = 276, so L + W = 138
L = 75
138 - 75 = W
63 m
One side of a square garden is 8 feet long. How can you find the area of That is the
the garden?
Answer:
64 ft
Step-by-step explanation:
A square has to be equal on all 4 sides for it to be considered a square. Considering that it is 8 feet on one side it would be 8 feet on all the others as well. From there you multiply 8*8 and receive the solution of 84 feet for the area of the garden.
Shawn wants to save up for a birthday outfit. He figures he can save $25 each week from the money earns cutting hair. If he plans to spend less than $175 for the outfit, how many weeks will it take him save enough money to buy any outfit in his price range?
Answer:
7 weeks
Step-by-step explanation:
175 divided by 25 is 7
help plslssssssssssssssss
Step-by-step explanation:
The answer is
In step 1 the multiplication property of equality was applied incorrectly
Find the equation of a line that intersects with y=2x-1 on the y-axis and is parallel to y=-x. Please explain.
Answer:
so where does that line intersect the y axis? just plug in x=0 and you see y= -1. so (0, -1)
y = -x -1 is parallel because it has the same slope and goes through the right point
last week, dave predicted his weight at his physical would be 164 lbs. At the doctor’s his actual weight was 175 lbs. what was the percent of error in Dave’s estimate?
Answer:
[tex]6.29\%[/tex]
Step-by-step explanation:
[tex]\frac{175-164}{175}*100\%[/tex]
[tex]\frac{11}{175}*100\%[/tex]
[tex]0.0629*100\%[/tex]
[tex]6.29\%[/tex]
How many 3/5 s are in 5?
Answer:
none , its 2 2/5
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
it will be 3 because 4 3/5`s is 2 and 2/5 and 3 3/5`s is 1 and 4/5 hope that helped your question.
Write an equation of the line passes through (4,1) and is parallel to y=-2x+7 .
Answer:
y= -2x+9
Step-by-step explanation:
First of all, since they need to be parallel, they must have the same slope to never intercept. Next, you can use a graphing calculator to test y-intercepts like desmos. You will find that 9 works, as it goes through (4,1) and never intercepts with the 1st line.
Fill in the blanks to solve this equation
Answer:
Step-by-step explanation:
Mrs. Clark's plant is 4/3 4 inches tall. It is 1/7 8 inches taller than Jimmy's plant. How tall is Jimmy's plant? Enter your answer as a simplified mixed number by filling in the boxes. $$ in.
Answer:
克拉克夫人的植物高 4/3 4 英寸。它比吉米的植物高 1/7 8 英寸。何
What are the center and radius of the circle?
Answer:
R = 4
Step-by-step explanation:
Beause when we say (-1,4)
It say the center of it
Need help I can’t fail this assignment. Answer asap!
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
6x + 5y = 10
5y = -6x + 10
y = (-6/5)x + 2
so a perpendicular line has slope 5/6
y = (5/6)x + b
plug in our desired point
3 = (5/6)6 + b
b = -2
y = (5/6)x - 2
I might be able to help you pass this assignment, but better learn it yourself as I cannot assure you will pass the class.
One of those "Win the battle but lose the war" type situations.
write an expression that is equivalent to 1/3(24p-33) -iready
Answer:
8p - 11
Step-by-step explanation:
Got the same I-Ready question lol
Seven values on the number line above are marked with letters. Which letters represent integers?
Need answer for the question please
Answer:
-7/4
Step-by-step explanation:
The slope for line A is 4/7 and you find the perpendicular slope by finding the reciprocal so you would get 7/4 then you multiply that by -1. The end result would be -7/4.
Answer:
— 7/4
Step-by-step explanation:
1) Find the slope of line A:
m=∆y/∆x
=(4—0)/(0+7)
= 4/7
2) When a line is perpendicular to another we have: mm' = — 1
(m' stands for slope of second line)
In this case m' is: m' = — 7/4
A bag of skittles contains 7 purple, 4 red, 6 yellow, and 5 green skittles. Randomly I will grab a skittle, eat it and then grab another to eat. What is the probability that I will get a purple and then red?
Answer:
The probability will be [tex]\frac{1}{2}[/tex], since there are a total of 11 purple and red Skittles and an overall total of 22 Skittles in the bag.
simplify 8+2(5-×) thanks
Answer:
=8+2(5-x)
=8+10-2x
=18-2x
Answer:
hey am
I think that's be the answer
if you think it's not right
don't write
At the beginning of a basketball season, the Panthers won 20 games out of 80 games. At this rate, how many games will they win in a normal 100-game season?
games
Find the points on x^2+3(y-2)^2 = 27
which are closest to and farthest from the origin
[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.
Let be a curve of the form [tex]x^{2}+3\cdot (y-2)^{2} = 27[/tex]. The distance with respect to origin is found by using the following Pythagorean identity:
[tex]r = x^{2}+y^{2}[/tex] (1)
Where [tex]r[/tex] is the square distance function.
We can modify (1) as following:
[tex]r = [27-3\cdot (y-2)^{2}]+y^{2}[/tex]
[tex]r = 27-3\cdot (y^{2}-4\cdot y +4)+y^{2}[/tex]
[tex]r = 27-3\cdot y^{2}+12\cdot y -12 + y^{2}[/tex]
[tex]r = -2\cdot y^{2}+12\cdot y+27[/tex] (1b)
Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:
First derivative test
[tex]-4\cdot y +12 = 0[/tex]
[tex]y = 3[/tex]
Second derivative test
[tex]r'' = -4[/tex]
The y-component represents a maximum.
Now we graph the function with the ressource of a graphing tool, we find the following points:
Farthest points: [tex](-4.89, 3)[/tex], [tex](4.89, 3)[/tex].
Closest points: [tex](0, -1)[/tex].
[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.
To learn more on ellipses, we kindly invite to check this verified question: https://brainly.com/question/19507943
Divide £121 in the ratio 2:9.
is this one of your answer choice?
A plane is flying at an elevation of 21000 feet. It is within sight of the airport and the pilot finds that the angle of depression to the airport is 17 ∘ . Find the distance between the plane and the airport. Find the distance between a point on the ground directly below the plane and the airport.
Answer:
Answer:x=79,202.77 ft
Solve 3 = 5 + 5 for x.
Answer:
possible 0.3 or 3.3
Step-by-step explanation:
[tex]3 = 5 + 5 \\ 3 = 10 \\ 3 \div 10 = 0.3 \\ x = 0.3[/tex]
I THINK this is the answer or 3.3 (10÷3)