Answer:
-4
Step-by-step explanation:
[tex]-8x +4 = 36\\\\\implies 8x = 4-36\\\\\implies 8x = -32\\\\\implies x = -\dfrac{32} 8\\\\\implies x =-4[/tex]
Find the odds for and the odds against the event rolling a fair die and getting a 2, a 3, or a 5.
Answer:
The odds for are 50% and the odds against are 50%.
Step-by-step explanation:
On a die, there is 6 possibilities 2, 3, and 5, are 3 of them.
This means there is a 3/6 chance that it will land on one of those numbers, and there is also a 3/6 chance it will land on 1, 4, or 6.
3/6 is equivalent to 50% and 1/2.
Find three consecutive numbers if their sum is 3n.
Answer:
n-1, n, n+1
Step-by-step explanation:
n - 1 + n + n +1 = 3n
The middle number is n, the first is n-1 and the third is n+1
Based on the information given, the three consecutive numbers will be n-1, n, and n+1.
It should be noted that consecutive numbers simply mean the numbers that follow themselves in a particular order.
In this case, the three consecutive numbers will be n-1, n, and n+1. Their addition will be:
= n - 1 + n + n + 1
= 3n
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unit 5 relationships in triangles homework 1 triangle midsegments
Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:
1. a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. a.) FH = 24
b.) JL = 74
c.) KJ = 60
d.) FJ = 30
4. a.) AE = 26
b.) AN = 58
c.) CT = 21.5
d.) Perimeter of ΔAEN = 127
5. x = 15
6. x = 6
What are Parallel lines?Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.
The Triangle Midsegment TheoremA midsegment is a line that connects the midpoints of the two sides of a triangle together. Every triangle three midsegments.Based on the Midsegment Theorem of a triangle, the third side of a triangle is always parallel to the midsegment, and thus, the third side is twice the size of the midsegment. In order words, length of midsegment = ½(length of third side).Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:
1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:
a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. The segment parallel to the given segments are:
a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. Given:
FG = 37; KL = 48; GH = 30
a.) FH = ½(KL)
SubstituteFH = ½(48)
FH = 24
b.) JL = 2(FG)
SubstituteJL = 2(37)
JL = 74
c.) KJ = 2(GH)
SubstituteKJ = 2(30)
KJ = 60
d.) FJ = ½(KJ)
SubstituteFJ = ½(60)
FJ = 30
4. Given:
PT = 13
EN = 43
CP = 29
a.) AE = 2(PT)
SubstituteAE = 2(13)
AE = 26
b.) AN = 2(CP)
SubstituteAN = 2(29)
AN = 58
c.) CT = ½(EN)
SubstituteCT = ½(43)
CT = 21.5
d.) Perimeter of ΔAEN = EN + AN + AE
SubstitutePerimeter of ΔAEN = 43 + 58 + 26
Perimeter of ΔAEN = 127
5. 10x + 44 = 2(8x - 23) (midsegment theorem)
10x + 44 = 16x - 46
Add like terms together10x - 16x = -44 - 46
-6x = -90
Divide both sides by -6
x = 15
6. 19x - 28 = 2(6x + 7) (midsegment theorem)
19x - 28 = 12x + 14
Add like terms together19x - 12x = 28 + 14
7x = 42
Divide both sides by 7x = 6
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The total cost of renting a beach
house is a function of the number of
days the house is rented. The
owner of the beach house charges
$375 per day up to a maximum of 7
days plus a $100 cleaning fee. What
is the greatest value in the range for
this situation?
Answer: 147 votes
Beacause they need to find out what to do with the beach house
The greatest value in the range for this situation is $2,675.
What is a function?A function has an input and an output.
A function can be one-to-one or onto-one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Let the number of days the beach house is rented be represented by the variable "d".
If d is less than or equal to 7, then the total cost can be calculated as:
Total Cost = 375d + 100
If d is greater than 7, then the maximum cost would be reached by renting the house for 7 days and adding the $100 cleaning fee.
In this case, the total cost can be calculated as:
Total Cost = 375(7) + 100 = 2,675
Therefore,
The greatest value in the range for this situation is $2,675.
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#SPJ2
HELPE PLEASEEE Skjjjzjdjdjjsjsjdjdjdjd
.b- 15 = -12
b = 15 - 12
b = 3
. x - 5 = 7
x = 7 + 5
x = 12
. r + 6 = 11
r = 11 - 6
r = 5
. v/15 = 15
v = 15 × 15
v = 225
Answer:
3. b = 3
5. x = 12
7. r = 5
9. v = -225
Step-by-step explanation:
3. b - 15 = -12
To get b by itself we have to add 15 to both sides.
b = 15-12
b = 3
5. x-5 = 7
To get x by itself we have to add 5 to both sides.
x = 5+7
x = 12
7. r + 6 = 11
To get r by itself we have to subtract 6 to both sides.
r = 11-6
r = 5
9. [tex]\frac{v}{15}[/tex] = -15
To get v by itself we have to multiply [tex]\frac{v}{15}[/tex] by its opposite reciprocal which is [tex]\frac{15}{1}[/tex]
v = -15(15)
v = -225
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
please help quick
A cone has a height of 10 in. and a radius of 4 in.
What is the slant height of the cone?
A
116−−−√
in.
B
96−−√
in.
C
84−−√
in.
D
104−−−√
in.
Answer: Choice A. sqrt(116)
==========================================================
Explanation:
If we were to view a vertical cross section of the cone, then we get a triangle. This triangle splits along the vertical height line to form two congruent right triangles.
The horizontal piece of each triangle is the radius r = 4.
The vertical piece is the height h = 10.
Apply the pythagorean theorem to find the slant height, which is the hypotenuse of the right triangle.
a^2 + b^2 = c^2
r^2 + h^2 = x^2
4^2 + 10^2 = x^2
16 + 100 = x^2
116 = x^2
x^2 = 116
x = sqrt(116)
The number 46 is more than the number of situps Lyle can do. which of the following inequalities represent the number of situp Lyle can do?
A X< 46
B X>46
C X = 46
D X= 45
The answer is A since the tip of the triangle points to the smallest number
Answer:
a
Step-by-step explanation:
it says 46 is more than that cetain number
Navya picked two different numbersfrom set of number cards. 300 is a multiple of both the numbers, Which of these CANNOT be a number she picked?
A. 45
B. 50
C. 60
D. 75
PLS ANSWER ASAP!!! ILL MAKE U BRAINLIEST♡
=================================================
Explanation:
Since 300 is a multiple of some number, this means that mystery number is a factor of 300.
So for instance, she could have picked 60 since 60*5 = 300. Or she could have picked 50 because 50*6 = 300.
To find out if you have a factor or not, divide the 300 over each answer choice. If you get a whole number, then it is a factor.
A) 300/45 = 6.67 approximatelyB) 300/50 = 6C) 300/60 = 5D) 300/75 = 4Choices B through D lead to whole number results, which shows that the numbers 50, 60 and 75 are factors of 300. Flipping things around, this means that 300 is a multiple of 50, 60, and 75.
Only 45 is the one that isn't a factor of 300, which means that 300 is not a multiple of 45.
--------------
Another way to see this is to list out the multiples of 45
45, 90, 135, 180, 225, 270, 315, 360, ...and we don't land on 300. The closest we get is 315.
In contrast, let's list out the multiples of 50
50, 100, 150, 200, 250, 300, 350, 400, ...The value 300 is in the list, allowing us to cross off choice B. Choices C and D are similar.
A
=
h
(
x
+
10
)
2
A
=
27
h
=
4
Work out the value of
x
.
Answer:
Step-by-step explanation:
A= h(x + 10)^2
27 = 4(x + 10)^2
(x + 10)^2 = 27/4
x + 10 = √27/2
x + 10 = 3√3/2
x = 3√3/2 - 10
= -7.40 to nearest hundredth.
if 1 orange cost 30 cents how many oranges can you buy for 10.50
Answer:
300!! I think...
Step-by-step explanation:
30 x 10 = 300
If you divide .30 by 10.50, you get 30. So, you can buy 30 oranges for a total of 10.50 when each orange is .30.
Alexander purchased a computer on sale the original price was 1200 the sale price was 5/6 of the original price how much did Alexander pay for the computer
Answer:
1000
Step-by-step explanation:
Answer:$1000
Step-by-step explanation:
Divide 1200 by 6 then multiply that number by 5
The number of ounces in an unknown number of pounds. Let z= the variable.
Answer:
16z
Step-by-step explanation:
z = the unknown number of pounds
16 ounces in 1 pound.
So z pounds = 16z
or it can be given as a proportion;
[tex]\frac{16 ounces}{1 pound} (z)[/tex]
The probability for event A is 0. 3, the probability for event B is 0. 6, and the probability of events A or B is 0. 8. Why are the events not mutually exclusive?.
P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 0.3 + 0.6 - 0.8
P(A and B) = 0.1
Because this result is nonzero, the two events A and B are not mutually exclusive. It is possible for the two events to happen at the same time.
Mutually exclusive events always have P(A and B) = 0, which means A and B cannot happen simultaneously.
The probability of A or B equals the probability of A plus the probability of B. so, the event is not mutually exclusive because of the P(A and B) = 0.1, not 0.
Given that,The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
We have to find,Why are the events not mutually exclusive?
According to the question,The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
P(A) = 0.3
P(B) = 0.8
and P(A∪B) = 0.8
When two events are said to be mutually exclusive when both the events cannot take place simultaneously.
Mutually exclusive events always undergo different outcomes.
These events are also known as disjoint events.
Mutually exclusive events prevent the second event to take place when the first event appears.
The probability of mutually exclusive events follows;The probability of A and B together equals 0,
P(A and B) = 0
The probability of A or B equals the probability of A plus the probability of B,
P(A or B) = P(A) + P(B)
Therefore,
P(A or B) = P(A) + P(B) = 0.3 + 0.6 = 0.9
Here, 0.9 ≠ 0.8
Thus, the events are not mutually exclusive.
Hence, The event is not mutually exclusive because the P(A and B) = 0.1, not 0.
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Mark sews at a constant rate. He stitches 5 pillows in 8 minutes. What is the constant of proportionality for the relation of pillow to hours.
Answer:
9
Step-by-step explanation:
9 pillows per hour i believe
Please Help ASAP!!
Full work shown gets brainliest!!
Answer:
LR = 17
Step-by-step explanation:
RP is one section of LP (the whole section). Since R is the midpoint of the segment, RP = LR. Hope this helps!
Help me with this problem please.
The value of x is 5. The value of y is 8.66.
The image attached is that of a right triangle. In order to determine the value of x and y, SOHCAHTOA would be used. x is he opposite side and y in the adjacent side to the angle 30 degrees.
Sin 30 = opposite / hypotenuse
0.5 = x / 10
x = 5
Cos 30 = adjacent / hypotenuse
0.8660 = y / 10
y = 8.66
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4➗64
4 divided by 64
Answer:
The answer for your problem will be 0.0625
Someone please help!!! Can’t find this one anywhere!!! please and thank you!!!!!!!
[tex]\dfrac{ 2+ 2i}{5+4i}\\\\\\=\dfrac{(2+2i)(5-4i)}{(5+4i)(5-4i)}\\\\\\=\dfrac{10-8i + 10i -8i^2}{5^2 -(4i)^2}\\\\\\=\dfrac{10+2i +8}{25+16}~~~~;[i^2 =-1]\\\\\\=\dfrac{18+2i}{41}\\\\\\=\dfrac{18}{41} + \dfrac{2}{41}i[/tex]
please help me I do not understand it please
Answer:
x= 0
y= 2
explanation in the picture attached (tap the image to view it fully)
My question is in the attachment.
Answer:
5 and 25
Step-by-step explanation:
let the son's age be x then the father's age is x + 20
In 5 years
son = x + 5 and father = x + 20 + 5 = x + 25
Then
x + 25 = 3(x + 5) ← father is three times as old as son
x + 25 = 3x + 15 ( subtract x from both sides )
25 = 2x + 15 ( subtract 15 from both sides )
10 = 2x ( divide both sides by 2 )
5 = x and x + 20 = 5 + 20 = 25
si=on is 5 and father is 25
Answer:
The son is 5 and the father is 25.
Step-by-step explanation:
We can do this using Algebra.
Let the son be x years old.
Then the father's age is x + 20 years.
After 5 years the father's age is x + 25 and the son is x + 5 years.
So we can write the equation:
x + 25 = 3(x + 5)
x + 25 = 3x + 15
25 - 15 = 3x - x
10 = 2x
x = 5.
So the father's present age is 20 + 5 = 25 and the son is 5 years old.
What is the product of ( 4 + 3 i ) and ( 12 − 2 i )
Answer:
Step-by-step explanation:
(4+3i)(12-2i)
48 - 8i + 36i - 6i^2
48 + 28i +6
54 + 28i
help ita due in 5 mins
Trapezoid GHIJ is located in the coordinate plane at points
G(0,0),H(−1,2),I(3,2),and J(2,0).
Three transformation scenarios are described.
1. Reflect GHIJ in the x-axis and then reflect that image in the y-axis.
2. Rotate GHIJ 90º counterclockwise about the origin and then translate that image 2 units up.
3. Dilate GHIJ by a scale factor of
1
2
centered about the origin and then translate that image 2 units to the left.
Which transformation(s) produce an image that is congruent to the given figure?
Number 1 only
Number 1 only
Numbers 1 and 2
Numbers 1 and 2
Numbers 2 and 3
Numbers 2 and 3
Numbers 1, 2, and 3
Numbers 1, 2, and 3
A rigid transformation is one in which the distance between pairs of points
are preserved, and the image and preimage have the same dimensions.
The transformations that will produce an image that is congruent to the given figure is; Number 1 and 2.Reasons:
The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)
The given transformations are;
1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis
The above transformation is a double reflection.
2. GHIJ is rotated about the origin 90° counterclockwise. The resulting
image is translated up 2 units.
3. GHIJ is dilated by a scale factor of [tex]\mathbf{\frac{1}{2}}[/tex], with the center of dilation at the
origin. The resulting image is translated 2 units left.
Required:
The transformations that produce an image that is congruent to the given figure:
Solution:
Two figures are congruent if they have the same size and shape.
With the given figure being the trapezoid GHIJ, we have that a
transformation that will give an image that is congruent to the preimage
which is the trapezoid GHIJ is a rigid transformation.
Rigid transformations are;
ReflectionRotationTranslationThe combinations of transformation given within the scenario that consists
of only rigid transformations are scenario 1 and scenario 2.
Therefore, the correct option is; Numbers 1 and 2.
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pls pls pls help!! will mark brainliest
9-3÷1/3+1
can you pleas solve this question
please hurry
Answer:
9
Step-by-step explanation:
pemdas
9-3÷1/3+1
division
3 and 1/3 becomes 1
we have 9-1+1
which simplifies to 9
solve for y
3 (3y - 5) = 34
Simplify as much as possible
:)) thxx
Answer:
y=49/9
Step-by-step explanation:
Distribute 3 with 3y and -5
3 times 3y is 9y
3 times -5 is -15
So the equation now looks like this:
9y-15=34
Add 15 on both sides:
9y=49
Divide 9 on both sides
So y=49/9
Since there is no common value to divide by y is 49/9
If you want the decimal version it is 5.44=> (=> meaning continuing forever)
Hope this helps!
6. David bought 3 DVDs for 4 books for $40 at a yard sale. Anna bought 1 DVD and 6 books for
$18. How much did each DVD and book cost?
Answer:
5
Step-by-step explanation:
just had this question
What is 10Million divided 10Million its a very hard question you know.
Can u help me with these plss
Answer: 40BC and 766AD
Step-by-step explanation:
who is piplup ???????? ~
Shapes. I will give brainless answer correctly and tell me the top number and bottom.
Answer:
2 lines are used fro their respected two centers one Is vertical or one is horizontal it's dice into 4 squares