Answer:
$240
Step-by-step explanation:
Original price: p
discount 25% (multiplier: 0.75)
sale price: $180
p x 0.75 = 180
p = 180/0.75
p = 240
What is the length of AB? A.2.59 B.9.66 C.10.35 D38.64
Answer:
what
Step-by-step explanation:
is the questionn
A 15-ft by 15-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 304 ft^2, how wide is the walkway?
Answer:
4 ft = width of walkway
Step-by-step explanation:
It helps if you can draw a figure.
Let x = width of walkway
Length of pool + walkway = (2x + 15)
Width of pool + walkway = (2x + 15)
area of pool and walkway together = (2x + 15)(2x + 15) = [tex]4x^{2} = 60x + 225[/tex]
Area of the pool = 15(15) = 225
Now,
The area of the walkway = area of pool and walkway together - area of pool
304 = 4[tex]x^{2}[/tex] + 60x + 225 - 225
304 = [tex]4x^{2}[/tex] + 60x
4[tex]x^{2}[/tex] + 60x - 304 = 0
4([tex]x^{2}[/tex] +15x - 76) = 0
4(x - 4)(x + 19) = 0
x = 4 x = -19
-19 must be discarded because a length cannot be negative
Therefore x = 4 ft = width of walkway
The first step in solving 3+7(x-5)=2x+16 is to
Multiply out the things in the brackets.
3+7(x+5)=2x+16
3+7x+35=2x+16
Bring the x's over to one side and the numbers to the other side.
7x-2x=16-35-3
5x= -22
can anyone solve this
Answer:
Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)
=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)
=1+2sin A+1/cos A(1+sin A)
=2(1+sin A)/cos A(1+ sin A)
=2sec A
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction
= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator
= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]
= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]
= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator
= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator
= [tex]\frac{2}{cosA}[/tex]
= 2secA = right side, thus verified
Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051
Answer: 0.7515
Step-by-step explanation:
Binomial probability formula:
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where
n = total number of trials.
p= probability of success in each trial.
x= Number of successes.
Let x be a binomial variable that represents the number of jurors come to just decision.
p= 0.65
n= 10
Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]
Hence, the probability more than half come to a just decision = 0.7515
Gabby buys a new purse for $33. The sales tax in her state is 6%. How much is the sales tax?
Answer:
$1.98
Step-by-step explanation:
6%=0.06
33*0.06=1.98
solve CORRECTLY for brainly and 20 points
Answer:
k/4 + 3 = 14
k = 44
Step-by-step explanation:
Step 1: k + 12 = 56
Step 2: k = 56 - 12
Step 3: k = 44
Multiply both sides of the equation by 4Subtract from both sidesSubtract 12 from 56 to get 44Answer:
The answer are
t=4
f=4
e=2
k=44
a=-4
n=11
Daryl jumped off of a diving board, and dove into a pool. The graph below shows his height relative to the surface of the water over time, where Daryl’s height (y) is measured in meters and time (x) is measured in seconds. Which of the following statements are true? (Please select all options which are true.)
Answer:
B,D,E
Step-by-step explanation:
Not entirely sure
a man sold two jeans at Rs 800. On one he gains a profit of 10 percent on other he loses 15 percent how he gain or loses in whole transaction
Answer:
1st jean:
100%-> 800
110%->880
880-800=80 ( earned)
-----------------------------------
2nd jean:
100%->800
85%->680
800-680=120(lost)
-----------------------------------------
120-80=40 (lost)
can anyone help with this???
Answer:
X= 13
A=104
C=26
Step-by-step explanation:
the equation is 8x+2x+50=180
10x=130
x=13
Suppose f(x) = 3x^2 - 2x... Find f(-4)
4. Simplify the expression
2(10) + 2(x-4).
(A) 2x + 16
(B) x+12
© 2x + 12
(D) x + 16
Answer:
C. 2x + 12
Step-by-step explanation:
2(10) + 2(x-4)
= 20 + 2x - 8
= 2x + 20 - 8
= 2x + 12
every angle of a equilateral triangle is_____.
Trapezoid K prime is the image of trapezoid K after a series of transformations. On a coordinate plane, trapezoid K has points (negative 4, 0), (negative 4, 4), (4, 4), (2, 0). Trapezoid K prime has points (negative 3, negative 1), (6, negative 1), (6, negative 7), (negative 6, negative 7). Bella and Marco described the sequence of transformations in different ways. Bella’s Sequence Marco’s Sequence 1. a dilation of trapezoid K by a scale factor of Three-halves with the origin as the center of dilation 2. a rotation of 180 degrees about the origin 3. a translation of 1 unit down 1. a reflection of trapezoid K across the x-axis 2. a dilation by a scale factor of Three-halves with the origin as the center of dilation 3. a translation of 1 unit down Which sequence or sequences are correct and why? Only Bella is correct. Only Marco is correct. Both Bella and Marco are correct because both chose the correct scale factor for the dilation and both describe other transformations that could be used. Neither Bella nor Marco is correct because the scale factor they chose for the dilation is incorrect.
Answer: bella, edge 2021 bb
Trapezoid k was scale factor of Three-halves and then translated 1 unit down.
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point either up, left, right or down,
Trapezoid k was scale factor of Three-halves and then translated 1 unit down.
Find out more on Transformation at: https://brainly.com/question/1462871
Find the value of k, represented as a decimal rounded to the nearest tenth.
5/7 = 12/k
Answer:
We conclude that the value of k represented as a decimal rounded to the nearest tenth is: [tex]k = 16.8[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{5}{7}=\frac{12}{k}[/tex]
We need to determine the value of k, represented as a decimal rounded to the nearest tenth.
Let us solve the expression
[tex]\frac{5}{7}=\frac{12}{k}[/tex]
Apply cross-function multiply: if [tex]\frac{a}{b}=\frac{c}{d}[/tex] then [tex]a\cdot \:d=b\cdot \:c[/tex]
[tex]5k=7\cdot \:12[/tex]
[tex]5k=84[/tex] ∵ 7 · 12= 84
Divide both sides by 5
[tex]\frac{5k}{5}=\frac{84}{5}[/tex]
Simplify
[tex]k=\frac{84}{5}[/tex]
[tex]k = 16.8[/tex] (Rounded to the nearest 0.1 or the Tenths Place)
Therefore, we conclude that the value of k represented as a decimal rounded to the nearest tenth is: [tex]k = 16.8[/tex]
What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed
Answer:
9/2
Step-by-step explanation:
(3, -20) & (11, 16)
To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(16 - (-20)) / (11 - 3)
Simplify the parentheses.
= (36) / (8)
Simplify the fraction.
36/8
= 9/2
9/2 is the most simplified fraction. This is your slope.
Hope this helps!
If the measure of angle 1 is 110° and the measure of angle 3 is (2x+10)", what is the value of x?
w
1
4
2.
3
50
55
60
Save and Fxit
S
Answer:
X is equal to 50..
Step-by-step explanation:
as angle 1 and 3 are equal
2*50+10
100+10
is 110
so X is 50
15x=12x+15 whats the angle measures.
Answer:
x = 5 (please read the step by step explanation)
Step-by-step explanation:
So, I'm just going to solve for x because the instructions aren't too clear. I believe there is supposed to be an image attached to it, but seeing as I don't have that, I'll just solve for x and you can plug in with the values.
15x = 12x + 15
Same to both sides:
3x = 15
Isolate x:
x = 5
Just plug in those values and you'll be good to go! Have a good day!
How much water do you add to make 75% sugar syrup using 99g sugar?
Answer: You will need 33ml of water added
Step-by-step explanation:
14 = -2s -8
Solve for s
Answer:
s = -11
Step-by-step explanation:
14 = -2s - 8
22 = -2s
2s = -22
s = -11
14= -2s -8
+8 +8 Add 8 to both sides to isolate -2s
22= -2s
--- ----
-2 -2 Divide -2 by both sides
-11=s This is the answer.
3 1/2 + 1 1/3 = ??
Simply your answer and show ur work
Answer:
29/6
Step-by-step explanation:
Answer: 29/6 or 4 5/6
Step-by-step explanation:
3+1 = 4
Find a common denominator between 1/2 and 1/3
1/2 becomes 3/6 and 1/3 becomes 2/6
2/6 + 3/6 = 5/6
Now add the 4 back:
4 5/6
please help picture attached
Answer:
triangle B and D
I need major help! Please answer
Answer:
The answer is (3,5)
Step-by-step explanation:
Sana Maka tulong
Last year, Diane opened an investment account with S6400. At the end of the year, the amount in the account had increased by 26%.
(a) Fill in the blank to write the year-end amount in terms of the original amount. Write
your answer as a decimal.
Year-end amount =. XOriginal amount
(1) Use your answer in part (ə) to determine the year-end amount in Diane's account
Year-end amount: $
Answer:
Your answer is.....
8064$
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation:
the questipn is: Given segment AB with endpoint (-2,-2) and (8,4), what is the coordinate of the midpoint?
Answer:
(3,1)
Step-by-step explanation:
If you plot both of the points on a graph you get another straight line.
When you connect the dots you get 3,1 as the midpoint of the two segments :))
HELPPP. i need help with this i have trouble with ordered pairs
pls help me thank you!
Answer:
D.
If possiable may i have brainlist?
does this table represent a liner or nonlinear function
Answer:Nonlinear
Step-by-step explanation:
The ratio is 1:8 meaning if you divide the second part by 8 it should get you the first part but 16/8 is 2 not 3 therefore it is not linear
There are 50 students in a class and their annual result is presented in the following table:
Result
fail , 7 students
pass, 43 students
If a student is selected at random find the probability that the student has passed the examination.
can someone help me solve this equation?
-11v-14=v-14
Answer:
0.
Step-by-step explanation:
Add 14 on both sides:
-11v+0=v
So we have:
-11v=v
And there is only one number in the universe that can satisfy that and that is 0.
V = 0
-11v = v
0 = v + 11v
0 = 12v
0 = v
v = 0