Answer:
w = 4 1/2
l = 6
Step-by-step explanation:
w = width
2w-3 = length
A = lw
27 = w(2w-3)
27 = 2w² - 3w
subtract 27 from each side:
2w² - 3w - 27 = 0
factor:
(2w-9)(w+3) = 0
solve each for 'w':
w = 9/2
w = -3 (This answer can be discounted because a length cannot be negative)
width = 9/2
length = 2(9/2) - 3 which is 6
4. Which graph represents the solution to
-2<3x+1 ?
Hey there!
-2<3x+1
= 3x + 1 < -2
SUBTRACT 1 to BOTH SIDES
3x + 1 - 1 < -2 + 1
CANCEL out: 1 - 1 because that gives you 0
KEEP: -2 + 1 because that helps you solve for x
-2 + 1 = -3
New EQUATION: 3x > -3
DIVIDE 3 to BOTH SIDES
3x/3 > -3/3
CANCEL out: 3/3 because that gives you 1
KEE3 -3/3 because that helps us compare for x
-3/3 = -1
Answer to the equation: x > -1
OVERALL Answer: x > -1; It is an OPENED circle shaded to the right starting at -1 (Option A.)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A member of the sales team earns 30% commission on any sales. A salesperson sold $450 worth of merchandise.
How much was the salesperson's commission on the sale?
Answer:
The answer to this is B, $135.
Step-by-step explanation:
I took the test.
Answer:
$135 is the correct answer, I took the test and got it right
Step-by-step explanation:
!HELP ASAP / GEOMETRY
15 POINTS
what is the side length?
Answer:
The length of the side would be 9
Step-by-step explanation:
You can just multiply from the smaller figure 7*3=21, 5*3=15, so then 3*3=9
Please help me with my work
Please help mhanifa this is due soon
Answer:
51°+71°+<C= 180° Sum of interior angle of triangle
C + 122° = 180°
C = 180°- 122°
C = 58°
Answer:
=A=
Find m∠C
m∠C = 180° - (51° + 71°) = 58°Find the missing sides using the law of sines:
9.8 / sin 71° = AB / sin 58° = AC / sin 51°AB = 9.8 sin 58° / sin 71° = 8.8 cmAC = 9.8 sin 51° / sin 71° = 8.1 cm=B=
Find m∠L
m∠L = 180° - (42° + 84°) = 54°Find the missing sides using the law of sines:
50 / sin 84° = KL / sin 42° = JK / sin 54°KL = 50 sin 42 °/ sin 84° = 33.6 cmJK = 50 sin 54° / sin 84° = 40.7 cm=C=
Find m∠R using the law of sines:
17.5 / sin 98° = 15 / sin ∠Rsin ∠R = 15 sin 98° / 17.5sin ∠R = 0.85m∠R = arcsin (0.85) = 58.2°Find the missing angle:
m∠S = 180° - (98° + 58.2°) = 23.8°Find the length of QR, use the law of sines:
17.5 / sin 98° = QR / sin 23.8°QR = 17.5 sin 23.8° /sin 98° = 7.1 msolve x2 + 12 = -11 by completing the square.which is the solution set of the equation
Answer:
the answer of this question is -1
Some for all values of x by factoring
Answer:
{-1, 10}
Step-by-step explanation:
Next time please share the entire set of instrutions.
x^2 - 9x - 15 = -5 should be rewritten in standard quadratic form:
x^2 - 9x - 10 = 0 = (x - 10)(x + 1) = 0.
Setting each factor equal to zero and then solving for x yields {-1, 10}
Answer:
{-1,10}
Step-by-step explanation:
[tex]x^2-9x-15=-5[/tex] given
[tex]x^2-9x-10=0[/tex] addition property of equality
[tex]x^2+(x-10x)-10=x^2+x-10x-10=0[/tex] x-10x = -9x
[tex]x(x+1)-10(x+1)=0[/tex] distributive property ( x( y + z ) = xy + xz
[tex](x-10)(x+1)=0[/tex] distributive property (backwards)
[tex]x-10=0;x=10;x+1=0;x=-1[/tex] at least one factor of 0 has to be 0
{-1,10}
i need help on this question !!no links please!!!
Answer:
17
Step-by-step explanation:
to find the median you arrange from least to greatest
12, 12, 14, 17, 18, 20, 22,
then you find the number in the middle which in this case is 17
Which line is perpendicular to the line Y = 2x +3?
Answer:
D.
Mark me brainliest :))
`h(t)=-5t^{2}+10t+3`
Find the equation that passes through the point (3,-2) and is perpendicular to y=-1/2x+4
Answer:
y = 2x - 8
Step-by-step explanation:
y = 2x + b
-2 = 2(3) + b
-2 = 6 + b
-8 = b
Lines m and n are parallel.
what is m<1
pls help :)
Answer: 55
Reason: Corresponding Angles Theorem
The 55 degree angle up top, and angle 1 are the same measure, because they are corresponding angles. This only works when we have parallel lines like this.
The graph of a linear function is shown
below. What is the domain of the
function?
Answer:
{ x | -3 <= x < +1 }
Step-by-step explanation:
We note that the graph occupies from x=-3 to x=+1, while -3 is a value included (endpoint is solid), and +1 is excluded (endpoint hollow).
Thus the domain is { x | -3 <= x < +1 }
The sizes of cans on a shelf are listed below.
18 oz, 8 oz, 16 oz, 20 oz, 20 oz, 16 oz, 12 oz, 8 oz
What is the interquartile range of this list?
2
6
9
12
Answer:
9
Step-by-step explanation:
The interquartile range of the given list is 11 oz.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
To find the interquartile range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3) of the data.
To do this, we first need to order the data set from smallest to largest:
8 oz, 8 oz, 12 oz, 16 oz, 16 oz, 18 oz, 20 oz, 20 oz
Next, we find the median of the data set. Since there are 8 data points, the median is the average of the two middle values:
Median = (16 oz + 16 oz)/2 = 16 oz
Now we can find Q1 and Q3. Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half of the data set.
Lower half: 8 oz, 8 oz, 12 oz, 16 oz
Upper half: 16 oz, 18 oz, 20 oz, 20 oz
Q1 = (8 oz + 8 oz)/2 = 8 oz
Q3 = (18 oz + 20 oz)/2 = 19 oz
Finally, we can calculate the IQR as the difference between Q3 and Q1:
IQR = Q3 - Q1 = 19 oz - 8 oz = 11 oz
Therefore,
The interquartile range of the given list is 11 oz.
Learn more about the interquartile range here:
https://brainly.com/question/29204101
#SPJ7
Q27
x: y = 1:3
Circle the correct equation.
y = x-2
y = 3x
y = x+2
(Total 1 mark)
What is the correct equation ?
Answer:
I think its x-2
Step-by-step explanation:
Sorry if its wrong! :)
Find the equation of the line that is parallel to y=-7x+2 and contains the point (-5,32)
HELP PLEASE. A water tank in the shape of a rectangular has a volume of 900 cubic feet. It is 15 feet long, 10 feet wide. What is the height of the water tank?
Options:
A: 6
B: 5
C: 3
D: 9
Answer:
The Answer is B 5 is the height
Jada has $7 in the bank and she spends $1 every 3
weeks.
write an equation for this situation
Answer:
7 - 1x
Explanation
x is the variable I used for every three weeks.
Calculator
Alyssa wants to install new floors in her bathroom around the
shower. The inner light blue rectangle represents the shower and
the outer dark blue rectangle represents the floor around the
shower.
7
metres
4 metres
What is the area of the floor around the shower, or the dark blue
rectangle around the light blue rectangle?
3 metros
shower
Select the correct number from the drop down menu to show the
area of the floor around the shower.
9 metres
A = Choose
mo
Choose...
1
2
3
4
5
6
7
8
9
10
Next
12
51
63
75
Answer:
10
Step-by-step explanation:
Isaac saw a video game on sale for a 25% discount. The amount of discount is $4. What is the regular price of the video game
Answer:
The original price was $16
Step-by-step explanation:
$4= 25% of What price?
4= .25 x W
Divide both sides by .25
This leaves the equation as 16=W
46738294738290748392074893021748930217849032784932017483920174839021784930271849032718904372819047389210748390217489302174893021784930217849302174839021784937894073289147384738473847387483748374384738+12
Answer: 46738294738290748392074893021748930217849032784932017483920174839021784930271849032718904372819047389210748390217489302174893021784930217849302174839021784937894073289147384738473847387483748374384750
Step-by-step explanation:
ILL GIVE BRAINLIEST!!
Answer:
Step-by-step explanation:
using formula
=
=3[tex]\sqrt{3}[/tex]/2*6^2
=108[tex]\sqrt{3}[/tex]/2
=54[tex]\sqrt{3}[/tex]
=93.5
Help asap please I really need it.
Answer:
Step-by-step explanation:
Jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters. What is the length of Jason’s tool shed?
Answer:
12 meters
Step-by-step explanation:
We can solve this problem simply by dividing area by the known width value (because length x width = area):
96/8 = 12
The lengths of the legs of a right triangle are 6 cm and 8 cm What is the length of the hypotenuse?
Answer:
The hypotenuse is 10 cm long.
Step-by-step explanation:
We can find the hypotenuse by using the following formula where "c" is the length of the hypotenuse and "a" and "b" are the lengths of the legs.
[tex]c = \sqrt{a^{2} + b^{2} }[/tex]
Now we just substitute the values and get...
[tex]c = \sqrt{a^{2} + b^{2} }\\c = \sqrt{6^{2} + 8^{2} } \\c = \sqrt{36 + 64} \\c = \sqrt{100} \\c = 10[/tex]
Therefore the hypotenuse is 10 cm long.
help!!
Find the inequality represented by the graph
1-Step-by-step explanation:
Find the value of x
I would like all 3 answers and how to get them (show work).
Thanks!
Answer:
4) 4
5) 6.5
6) 14
Step-by-step explanation:
Question 4 equation: [tex](\frac{12*5}{2} * 2) + (\frac{5x}{2} *2) = 80[/tex] ⇒ [tex]60 + 5x = 80[/tex] ⇒ [tex]5x = 20[/tex] ⇒ [tex]x=4[/tex].
Question 5 equation: [tex]16x=104[/tex] ⇒ [tex]x=6.5[/tex].
Question 6 equation: [tex]\frac{10x}{2} = 70[/tex] ⇒ [tex]5x=70[/tex] ⇒ [tex]x=14[/tex].
The inverse of y = e^x
X= [3 -5] Y= [6 7]
[-4 2]. [-4 -3] calculate X+Y
Answer: [tex]X+Y=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex]
Step-by-step explanation:
Given: [tex]X=\begin{pmatrix}3&-5\\ -4&2\end{pmatrix},\ \ Y=\begin{pmatrix}6&7\\ -4&-3\end{pmatrix}[/tex]
To calculate: [tex]X+Y[/tex]
Consider [tex]X+Y= \begin{pmatrix}3&-5\\ -4&2\end{pmatrix}+\begin{pmatrix}6&7\\ -4&-3\end{pmatrix}[/tex]
[tex]=\begin{pmatrix}3+6&\left(-5\right)+7\\ \left(-4\right)+\left(-4\right)&2+\left(-3\right)\end{pmatrix}\\\\=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex][[tex]\mathrm{Add\:the\:corresponding\: elements\: and\: simplify}[/tex]]
Hence, [tex]X+Y=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex]
Please help me answer this question it’s due today HURRY!!!