Answer: x = 17.2
Step-by-step explanation:
So we can combine 8.7x and 1.9x as they are considered like terms.
So basically since they have the same base of x we can disregard the x when subtracting.
So its more like 8.7-1.9 which = 6.8
Now add the x back
So it is 6.8x = 116.96
Now we need to isolate the variable.
To do this we need to divide the 6.8 on both sides.
So x = 116.96/6.8
x = 17.2
12. Martina rents a room in her home to guests. She charges a $25 flat fee per night for one person. Additional guests are welcome to stay, but she charges $10 per person. She expects guests to check out by 10 a.m. and charges an extra $5 per hour for late checkouts. Select the linear equation that correctly represents how much Martina collects for one night of stay in her home.
A) c = 25 + 10p + 5h
B) c = 25 – 10p – 5h
C) c + 25 = 10p + 5h
D) c = 25 + 10 + 5
Answer:
Step-by-step explanation:
the answer is A
BECAUSE the fixed charged or the charged that is always there is 25 dollars plus and additional cost for 10 dollars per person plus additional cost depending on how many hours u stay past 10 am
Please hurry
What function is represented in the table?
Answer:
B. 3(2^x)
Step-by-step explanation:
3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.
[tex] \sqrt[ {3}^{} ]{27a} [/tex]
Answer: 9√3a
Step-by-step explanation:
3 x 3√3a
9√3a
Answer:
Step-by-step explanation:
HELP!!! Please , solve this
Answer:
Equivalent
Step-by-step explanation:
15/25 and 3/5 are equivalent hope this helps
Answer:
I also think it's equivalent because it has a equal sign but I'm dumb so don't trust my answer.
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Answer:
3.9
Step-by-step explanation:
cost = 24.40
subtract the cost of beads from the total cost.
24.40-8.8=15.6
divide that by four because there are 4 necklaces
15.6/4=3.9
A password needs to be set up. Which method would have the highest number of
outcomes possible?
Answer:
the permutation of the alphabet or mixed (digits and letters)
Step-by-step explanation:
We are asked which method gives the greatest number of possible results when you want to configure a password, in this case our option is through combinations or permutations.
In a password the order matters, therefore it would be by the permutations method.
When creating a password it can be created with digits or letters, in general terms, digits are in less quantity than letters, therefore the greatest possible number would be through the permutation of the alphabet.
Although if you can do a mixed password, the result could have a higher number of outcomes
Circle Y has a radius of 22 meters and
Circle Z has a radius of 27 meters. Find the circumferences of each
circle. By how many meters is the circumference of Circle Z greater
than the circumference of Circle Y?
meters.
Answer: by 31.42 m
Step-by-step explanation:
Cir of circle Y = 2 πr = 138.23
Cir of circle Z = 2πr = 169.65
There are 7 red cards and 13 blue cards
in a deck of cards. If Yuki randomly
selects a card from the deck, what is the
probability that it is a red card?
Answer:
7/20
Step-by-step explanation:
#red cards/total # of cards
7/(7+13)
7/20
Answer:
7/20
Step-by-step explanation:
Find the area of the quadrilateral
Answer:
A=40'
Step-by-step explanation:
To me, it seems that the figure is a parallelogram.
So, let's use the formula to calculate the area of a parallelogram.
A=bhIn this case, the base (b) is 8' and the height (h) is 5'.
Replace the variables with our new values.
A=bh
A=8*5
Calculate the sum.
8*5=40
Add units.
40' or 40 inches.
Hence, 40 inches (40') is our answer.
Hope this helps
For the parallelogram ABCD the extensions of the angle bisectors AG and BH intersect at point P. Find the area of the parallelogram, if DG = GH, AB = 39 in, GP = 12 in.
Answer:
The area of a parallelogram is 360 in.²
Step-by-step explanation:
Where DG = GH
GP = 12 in.
AB = 39 in.
∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)
Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH
Therefore, ∠GAB + ∠HBA = 90°
Hence, ∠BPA = 90° (Sum of interior angles of a triangle)
[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}[/tex]
We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)
∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)
Hence AD = DG (Side length of isosceles triangle)
The bisector of ∠ADG is parallel to BH and will bisect AG at point Q
Hence ΔDAQ ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP
Hence, AP = 3 × GP = 3 × 12 = 36
[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}[/tex]
[tex]\angle GAB = cos^{-1} \left (\dfrac{36}{39} \right )[/tex]
∠GAB = 22.62°
[tex]cos(\angle GAB) = \dfrac{36}{39} = \dfrac{12}{GH}[/tex]
[tex]GH = \dfrac{39}{36} \times {12}[/tex]
GH = 13 in.
∴ AD 13 in.
BP = 39 × sin(22.62°) = 15 in.
GH = √(GP² + HP²)
∠DAB = 2 × 22.62° = 45.24°
The height of the parallelogram = AD × sin(∠DAB) = 13 × sin(45.24°)
The height of the parallelogram = 120/13 = 9.23 in.
The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²
Answer:
360 in2
Step-by-step explanation:
The figure ABCD is a parallelogram, so the side AB is parallel to the side DC, and that means the angle mBAG is equal the angle mHGP.
The angles mHGP and mAGD are vertically opposite angles, so mHGP = mAGD.
The angle mDAG is equal the angle mBAG, so mDAG = mBAG = mHGP = mAGD
The angles mDAG and mAGD are equal, so the triangle DAG is isosceles, that means the side DG is equal the side DA.
In the same way, we can find that the angle mCBH is equal the angle mBHC, so triangle BCH is isosceles, meaning that side BC (which is equal side AD) is equal side CH, so we have that:
DG + GH + HC = AB = 39
GH + GH + GH = 39
GH = 13
in the parallelogram we have the property:
mDAB + mABC = 180°
We have that mGAB = mDAB/2 and mABH = mABC/2, so using this information for the sum of internal angles of triangle APB, we have:
mGAB + mABH + mBPA = 180
mDAB/2 + mABC/2 + mBPA = 180
(180/2) + mBPA = 180
mBPA = 90°
If the triangle APB is a right triangle, we can find the cosine of the angle mHGP:
cos(mHGP) = GP / GH = 12 / 13
Then, we can find the sine of mHGP using:
sin(mHGP)^2 + cos(mHGP)^2 = 1
sin(mHGP)^2 + 144/169 = 1
sin(mHGP)^2 = 25/169
sin(mHGP) = 5/13
If we draw the height of the triangle GPH relative to the side GH, we have:
sin(mHGP) = height / GP
5 / 13 = height / 12
height = 60/13
The triangles GPH and APB are similar (using the case angle-angle), so we can use this relation to find the height 'h2' of the triangle APB:
height / (h2+height) = GH / AB
(60/13) / (h2 + (60/13)) = 13/39 = 1/3
180 / 13 = h2 + (60/13)
h2 = 120/13
Then the area of the parallelogram is:
Area = AB * h2 = 39 * 120/13 = 360 in2
Evaluate f(-4) for the function f(x) = 5 - X.
Answer:
9Solution,
[tex]f(x) = 5 - x \\ f( - 4) = 5 - ( - 4) \\ \: \: \: \: \: \: \: \: \: \: \: = 5 + 4 \\ \: \: \: \: \: \: \: \: \: = 9[/tex]
hope this helps....
Good luck on your assignment...
Hey you guys don't like me ik cause im using my sis acc :) and answer in the " ask me questions " box thing thank you
Answer:
2 i think i can't see that well
Step-by-step explanation:
One positive integer is 6 less than another. The
product of the two integers is 55. What are the
integers?
Separate the answers with a comma.
Answer:
[tex]11, 5[/tex]
Step-by-step explanation:
[tex]x=y-6[/tex]
[tex]xy=55[/tex]
Put x as y-6 in the second equation.
[tex](y-6)y=55[/tex]
[tex]y^2-6y=55[/tex]
[tex]y^2-6y-55=0[/tex]
Factor.
[tex]\left(y+5\right)\left(y-11\right)=0[/tex]
[tex]\left(y+5\right)=0[/tex]
[tex]y=-5[/tex]
It has to be a positive integer.
[tex]y-11=0[/tex]
[tex]y=11[/tex]
Substitute y as 11.
[tex]x=y-6[/tex]
[tex]x=11-6[/tex]
[tex]x=5[/tex]
Answer:
5, 11.
Step-by-step explanation:
If the larger integer is x then the smaller one is x - 6.
Also x(x - 6) = 55
x^2 - 6x = 55
x^2 - 6x - 55 = 0
(x - 11)(x + 5) = 0
x = 11, -5.
We are given that x is positive so its value is 11.
The 2 integers are 5 and 11.
A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number and 9. Which equations represent the situation? A. x + y = 3 and x minus 3 y = negative 27 B. x + y = 3 and x minus 3 y = negative 9 C. x minus y = 3 and x minus 3 y = negative 27 D. x minus y = 3 and x minus 3 y = negative 9
Answer:
D. x - y = 3 and x - 3 y = - 9
Step-by-step explanation:
The descriptions above describe the equation of choice D, so I pick this answer.
Answer:
D
Step-by-step explanation:
just took the test
A fair coin is tossed four times. What is the probability that heads (H) will appear at least twice?
Answer:
50%
Step-by-step explanation just is
Answer:
the answer for this is 50%
Given a = -3, b=4 and c= -5, evaluate a + b + c.
04
0-6
-12
Answer: 0 - 4
Step-by-step explanation:
0 - 4 = -4
-3 + 4 = 1
1 - 5 = -4
Answer:
a+b+c
= -3+4+(-5)
= 1-5
= -4
So,the answer is -4.Although I don't see it among the options, but I'm sure the answer is -4
I hope I could help you. :)
Step-by-step explanation:
The diameter of a sphere is 2 ft. What is the sphere's volume? Round to the nearest tenth.
A) 4.2 ft3
B) 8.1 ft3
C) 16.8 ft3
D) 33.5 ft3
Answer:
4.19 ft ^3 or A.
Step-by-step explanation:
Answer:
A) 4.2 ft3Step-by-step explanation:
option a is correct ✔✔✔
What is the value of [1.1]? –2 –1 0 1
Answer:
The answer is -2.
Step-by-step explanation:
Answer:
-2 :D
Step-by-step explanation:
Just did the test:)
Penny sells knitted scarves for 12$ each. The cost of supplies to make each scarf is x dollars. How much profit will Penny make if she sells y scarves?
Answer:
If I'm guessing, you're supposed to write an equation. So the answer would be yx + 12y.
Step-by-step explanation:
Answer:
the answer is y(12-x)
Step-by-step explanation:
i took the text and it said i got it right hope i helped have a great day/night and so soorry if i get it wrong byee
If a basketball player missed 23 free throws out of 100 what fraction and what percentage of the free throws did the player make? Choose two answers.
Answer:
b and d
Step-by-step explanation:
100 -23 = 77
Can someone help me with this problem? {18 points}
Answer:
Square = 2
Triangle = 3
Circle = 1
= 7
Step-by-step explanation:
1 square = 2
2 × 2 × 2 = 8
1 triangle = 3
2 × 3 × 3 × 3 = 54
1 circle = 1
2 × 3 × 1 × 1 = 6
1 + 2 × 3 = 7
I just need the bottom question plz I need it for today
Answer:
i dunno i just want points xd so i can put questions xd
Step-by-step explanation:
Answer:
The angles are 31 and 59 degrees.
Step-by-step explanation:
Let x be angle. Let 90-x be the complement of its angle. Then, x=90-x+28 since the measure of an angle is 28 degrees more than the complement.
Solving equation in Step 3 yields the following steps Add x to both sides of the equation Divide by 2 to both sides of the equation
A wheelchair ramp is 8.0 m long. The angle of inclination is 10°. Calculate the rise of
the ramp to the nearest tenth of a meter.
Answer:
The height of the ramp is 1.39 m.
Step-by-step explanation:
We have,
A wheelchair ramp is 8.0 m long
The angle of inclination is 10°
It is required to find the rise of the ramp.
Here, hypotenuse is 8 m and angle of inclination is 10°.
Using trigonometry to find it.
[tex]\sin\theta=\dfrac{x}{8}[/tex]
x is rise of the ramp
[tex]x=\sin(8)\times 10\\\\x=1.39\ m[/tex]
So, the height of the ramp is 1.39 m.
Please Help !!Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will last 10 years. The rules of the competition are simple. Each child can split up his or her $2000 into as many separate investments as they please. The children are encouraged to do their research on types of investments. The initial investments made may not be changed at any point during the 10 years; no money may be added and no money may be moved. Whichever child has made the most money after 10 years will be awarded an additional $10,000.
Answer:
Albert = $2159.07; Marie = $2244.99; Hans = $2188.35; Max = $2147.40
Marie is $10 000 richer
Step-by-step explanation:
Albert
(a) $1000 at 1.2 % compounded monthly
[tex]A = P\left(1 + \dfrac{r}{n}\right)^{nt}[/tex]
A = 1000(1 + 0.001)¹²⁰ = $1127.43
(b) $500 losing 2%
0.98 × 500 = $490
(c) $500 compounded continuously at 0.8%
[tex]\begin{array}{rcl}A & = & Pe^{rt}\\& = & 500e^{0.008 \times 10}\\& = &\mathbf{\$541.64}\\\end{array}\\[/tex]
(d) Balance
Total = 1127.43 + 490.00+ 541.64 = $2159.07
Marie
(a) 1500 at 1.4 % compounded quarterly
A = 1500(1 + 0.0035)⁴⁰ = $1724.99
(b) $500 gaining 4 %
1.04 × 500 = $520.00
(c) Balance
Total = 1724.99 + 520.00 = $2244.99
Hans
$2000 compounded continuously at 0.9 %
[tex]\begin{array}{rcl}A& = &2000e^{0.009 \times 10}\\& = &\mathbf{\$2188.35}\\\end{array}\\[/tex]
Max
(a) $1000 decreasing exponentially at 0.5 % annually
A = 1000(1 - 0.005)¹⁰= $951.11
(b) $1000 at 1.8 % compounded biannually
A = 1000(1 + 0.009)²⁰ = $1196.29
(c) Balance
Total = 951.11 + 1196.29 = $2147.40
Marie is $ 10 000 richer at the end of the competition.
How does a male get circumcised?
Answer: the excess skin is surgically removed
Step-by-step explanation:
Answer:
Step-by-step explanation:
two parallel incisions are made around the penis—one upstream from the skin that's set to be removed and one downstream. Then, we unwrap the excess skin from the penis and sew the two remaining edges back together.
What is the coordinate of point P that lies along the directed line segment from Q(2,5) to R7, 12) and partitions the segment in the ratio of 3 to 2?
Your answer.
0 (3, 42)
O(4.5, 8.5)
O (5,9.2)
O (5,7)
Clear answer
Answer:
Step-by-step explanation:B
A pizza shop charges customers based on the area of the pizza they order. The cost of a pizza in dollars can be represented by
S(r) - 0.12. where r is the radius of the pizza in inches.
What is the diameter of a pizza that costs $26.327 Round to the nearest hundredth.
Answer:
$26.300
Step-by-step explanation:
well if its 5 or more u round to the next whole number but if its 5 or under you just round whatever ur rounding into the same number but whole
Can someone help me i'm bad at this type of stuff will give 100 points
Answer:
Step-by-step explanation:
John:
H: 6/10
T: 4/10
Debra:
H: 4/10
T: 6/10
Rejyme:
H: 5/10
T: 5/10
Rudolpho:
H: 5/10
T: 5/10
T.J.:
H: 2/10
T: 8/10
Jamie:
H: 5/10
T: 5/10
Saeed:
H: 4/10
T: 6/10
Isabella:
H: 4/10
T: 6/10
Sam:
H: 7/10
T: 3/10
Your Name:
H: 6/10
T: 4/10
The probabilities of obtaining head and tail for different persons are different.
What is probability?The probability is the likeliness of happening an event if many events are given. It can be calculated by the following formula:
Probability= number of outcomes/number of total outcomes possible.
How to find the probability?The probability of head when the coin is tossed once is 1/2 but in the table it is given that it is tossed 10 times and the outcomes are given for each person the probability will be calculated as the number of times head or tails comes and divide by 10 which is shown in the table.
Learn more about probability at https://brainly.com/question/24756209
#SPJ2
PLEASE HELP!!!!!!!!!WILL GIVE BRAINLIEST!!!!!!!!!! In the figure below, AB=75, AC=70, and BY=60. Compute CX.
Answer:
56
Step-by-step explanation:
Data
AB = 75AC = 70BY = 60Area of a triangle = base*height*1/2
If we take AB as a base, CX is the height, but if we take AC as a base, BY is the height. Therefore:
AB*CX*1/2 = AC*BY*1/2
Replacing with data:
CX = 70*60/75
CX = 56
Answer:
56
Step-by-step explanation:
The area of $\triangle ABC$ is half the base times the height. We can use any side as a base, with the perpendicular from the opposite vertex as the matching height.
Using $AC$ as a base, the area of $\triangle ABC$ is $\frac{AC\cdot BY}{2} = \frac{70\cdot 60}{2} = 2100$.
Using $AB$ as a base, the area of $\triangle ABC$ is $\frac{AB\cdot CX}{2} = \frac{75\cdot CX}{2}$. We already know that this is $2100$, so we can set up the equation
$$\frac{75\cdot CX}{2} = 2100.$$Solving this equation, we get
$$CX = \frac{2\cdot 2100}{75} = \boxed{56}.$$
Suppose a scatter plot contains the points (12, 28), (15, 33), (21, 44), (29, 62), and (33, 68). Which of these points would be considered an outlier if it were also on the scatter plot? Select three that apply.
Answer:
Unsure, take a look at the visualisation:
desmos(dotcom)/calculator/fjze0od81o
Replace the (dotcom) with ".com" ( links are not allowed :( )
Explanation:
None of the points look as though they are an outlier from the line of linear regression, although (29,62) looks furthest from the line so could be a possible answer although I would probably say there is no outlier.