Answer:
[tex]x = 1.48 \: and \: y = - 1.38[/tex]
Step-by-step explanation:
[tex]first \: equation[/tex]
[tex]x - 4y = 7[/tex]
[tex]second \: equation[/tex]
[tex]5x + y = 6[/tex]
[tex]from \: equation \: 1 \\ make \: x \: the \: subject \: of \: formula \\ x = 7 + 4y[/tex]
[tex]x =7 + 4y \: {equation \: 3}[/tex]
[tex]substitutefor \: x \: in \: equation \: 2[/tex]
[tex]5x + y = 6 \\ 5(7 + 4y) + y = 6 \\ 35 + 20y + y = 6 \\ 35 + 21y = 6 \\ 21 y = 6 - 35 \\ 21y = - 29 \\ [/tex]
[tex]y = \frac{ - 29}{21} [/tex]
[tex]y = - 1.38[/tex]
[tex]subsitute \: for \: y \: into \: equation \: 3[/tex]
[tex]x = 7 + 4y \\ x = 7 + 4( - 1.38) \\ x = 7 - 5.52 \\ x = 1.48[/tex]
What does this math statement tell us?
ΔΑΒC ~ ΔΧΥΖ
PLS HELP I WILL MARK BRAINLIEST
Answer:
B
Step-by-step explanation:
~ symbol refers to similarity. ∆ABC ~∆XYZ means that the two triangles are similar(Same shapes, not the same size).
Triangle ABC has vertices A(-4, 3), B(2, 3) , C(-5, 1). A dilation with a scale factor of 5 and center at the orgin is appiled to this triangle.
What are the coordinates of C' in the dilated image? Enter your answer by filling in the boxes
Answer:
C' (- 25, 5 )
Step-by-step explanation:
since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor 5
C (- 5, 1 ) → C' (5 × - 5, 5 × 1 ) → C' (- 25, 5 )
Simplify
[tex]\sqrt{25-10\sqrt{3} +3}[/tex]
Answer:
The given equation is expansion of (a-b)²= a²-2ab+b²
[tex]\sqrt{25-10\sqrt{3} +3} \\ \sqrt{ {(5 - \sqrt{3})}^{2} } \\ (5 - \sqrt{3})[/tex]
someone help this is so confusing
I mean im prob in a lower grade then you so i'd say b?
Ac and db are chords that intersect at point h. a circle is shown. chords a c and d b intersect at point h. the length of a h is 20 minus x, the length of h b is 12 minus x, the length of d h is x 4, and the length of h c is x. what is the length of line segment db? 4 units 8 units 16 units 20 units
The chords ac and db are intersecting chords, and the length of line segment db is 16 units
How to determine the length of segment db?The given parameters are:
ah = 20 - x
hb = 12 - x
dh = x + 4
hc = x
Start by calculating the value of x using the following intersection chord equation
ah * hc = dh * hb
So, we have:
(20 - x) * x = (x + 4) * (12 - x)
Solve for x
x = 4
The length of segment db is calculated using:
db = dh + hb
So, we have:
db = x + 4 + 12 - x
Substitute 4 for x
db = 4 + 4 + 12 - 4
Evaluate
db = 16
Hence, the length of line segment db is 16 units
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Answer:
c
Step-by-step explanation:
SURFACE AREA QUESTION: the cargo area of the moving truck will be completely filled by 45 identical cube-shaped boxes. What will be the Surface area of one layer of boxes on the floor of the truck bed. (the truck has a height of 6 ft, a length of 6ft, and a width of 10ft.)
I believe it is 312, hope this helps, sorry if it doesn't!:)
Find m I need helppp pleasee !!!
Answer:
hope this will help you (✿^‿^)
Step-by-step explanation:
by Pythagorean theorem
h²=p²+b²
12²=9²+b²
b²=12²-9²
b=√63
b=7.9372
One container of lemonade mix weighs 2.33 kilograms. How much will 7 containers weigh?
Answer:
16.31 kg.
Step-by-step explanation:
2.33 * 7
Find the interquartile range (IQR) of the data in the dot plot below. ms orlando
I need the answer soon please help. 20 points
Divide. −3 6/8 Enter your answer as a mixed number, in simplified form, in the box.
Answer:
The solution is in the image
Which statements are true? check all that apply. the total possible outcomes can be found using 52c5. the total possible outcomes can be found using 52p5. the probability of choosing two diamonds and three hearts is 0.089. the probability of choosing five spades is roughly 0.05 the probability of choosing five clubs is roughly 0.0005.
A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The true statements about the cards are
The total possible outcomes can be found using 52C5. The probability of choosing five clubs is roughly 0.0005. What is Probability?Generally, Probability is simply defined as the position or attribute of being likely.
In conclusion, The accurate assertions are: The total number of potential outcomes may be calculated using 52C5, and the chance of selecting five clubs is around 0.0005.
CQ
A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statements are true? Check all that apply. The total possible outcomes can be found using 52C5. The total possible outcomes can be found using 52P5. The probability of choosing two diamonds and three hearts is 0.089. The probability of choosing five spades is roughly 0.05 The probability of choosing five clubs is roughly 0.0005.
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Answer:
A & D
Step-by-step explanation:
E2020 Geometry B!! :33
Please help me!!!!!! Thanks!!!!!!!!!!
Answer:
See below ~
Step-by-step explanation:
Question 4
Finding the lateral area :
⇒ Lateral area = 2πrh
⇒ Lateral area = 2π(8)(20)
⇒ Lateral area = 320π cm²
===============================================================
Finding the surface area :
⇒ Surface area = Lateral area + 2 × area of the circle
⇒ Surface area = 320π + 2 × π(8)²
⇒ Surface area = 320π + 128π
⇒ Surface area = 448π cm²
=============================================================
Question 5
⇒ In this scenario, the part that is painted is the lateral area
⇒ Area painted = 6 × 4 × 170
⇒ Area painted = 24 x 170
⇒ Area painted = 4,080 mm³
Use the function below to find F(-4) F(x) = 2^x
To answer this item, note that what needs to be done is to substitute -4 to all x's in the equation. That is,
F(x) = 2^x
will become,
F(-4) = 2^(-4) = 1/16 or 0.0625
Suvam fixed the price of a watch as Rs. 1200 and he sold it allowing a discoiunt of 15% and made a profit of Rs. 120. What was the cost price of the watch? Find it.
A soup can has a diameter of 8 cm and a height of 12 cm. What is the volume of the soup can? Use 3. 14 for Pi. A cylinder has a height of 12 centimeters and diameter of 8 centimeters. 192. 00 cubic centimeters 301. 44 cubic centimeters 602. 88 cubic centimeters 2,411. 52 cubic centimeters.
Answer:
The volume of the soup can is 602. 88 cubic centimeters
Step-by-step explanation:
Volume of a cylinder = π {r} ^{2} h
Where π = 3.14
r = diameter ÷ 2
r= 8 ÷ 2
r= 4 cm
h= 12 cm
Volume of the soup can= 3.14 × 4 × 4 × 12
= 602. 88 cubic centimeters
Part D
What is the probability of the next wolf caught in the park being unmarked? Write the probability as a fraction, a decimal number, and a percentage.
Animal Total in Park Number Marked
elk 5,625 225
wolf 928 232
cougar 865 173
bear 1,940 679
mountain goat 328 164
deer 350 105
moose 215 86
Answer:
636/928 = 137/200
0.685
68.5%
Step-by-step explanation:
There is a bag with only red marbles
and blue marbles.
The probability of randomly choosing
a blue marble is
7/9
There are 63 marbles in total in the
bag and each is equally likely to be
chosen.
Work out how many red marbles there
must be.
Answer:
14 red marbles.
Step-by-step explanation:
If I am reading this correctly, since the probablitly of choosing a blue marble is 7/9, then 7/9 of the bag must be blue marbles. That amounts to 7/9*63=49 and the bag containing 49 blue marbles. Therefor, 63-49=14 is the number of red marbles in the mag.
3. In which quadrant do lines land m Intersect?
m
A. Quadrant !
B. Quadrant II
C. Quadrant III
D. Quadrant IV
Answer:
Quadrant 3 so the answer should be c
Evaluate 1/x^-2 for x= 7.
-49
49
1/49
Please help
And thx but HURRY
Answer:
49
Step-by-step explanation:
Simplify the expression such that the variable has a positive exponent.
[tex]\frac{1}{x^{-2} }[/tex]x² [negative exponent is taken to the other side]Substitute x = 7.
(7)²49SOMEBODY PLS HELP ME
Answer:
I would say 6m because i measured the side that is labeled 6m, and DE is also 6m.
( I hope I'm right ^^)
( I hope this helps ^^)
In a video game, the player can choose a character from 4 animal characters and 3 human characters. Players can also let the computer randomly select a character for them. The player will have the computer randomly select his character. What is the probability it will pick a human character? Enter your answer as a fraction in simplest form in the box. PLEASEEEEEEEEEEEEEEEEEEEEEEEEE
The probability of selecting the human characters will be equal to 3 / 7.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that:-
The player can choose a character from 4 animal characters and 3 human characters.The probability will be calculated as:-
Probability = 3 / (3+4)
Probability = 3 / 7
Therefore the probability of selecting the human characters will be equal to 3 / 7.
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Simplify 3(2x+6)+4x-1
Answer: 10+17
Step-by-step explanation:
Distribute:
3(2+6)+4−1
6+18+4−1
Subtract the numbers:
6+18+4−1
6+17+4
Combine like terms:
6+17+4
10+17
solution:
10+17
8.2.PS-10
8.8 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 198 cm³.
The height of the water bottle is 8.8 cm. What is
the radius of the water bottle? Use 3.14 for .
The radius of the water bottle is about
cr
cm. (Round to the nearest tenth as needed.)
Questio
Answer:
Step-by-step explanation:
Givens
Volume = 198 cm^3h = 8.8 cmpi = 3.14r = ?Formula
V = pi * r^2 * h Substitute givens into formula
Solution
198 cm^3 = 3.14 * 8.8 * r^2 Combine the right
198 = 27.632 * r^2 Divide both sides by 27.632
198 / 27.632 = 27.632 * r^2 / 27.632
7.1656 = r^2 Switch the equation
r^2 = 7.1656 Take the square root of both sides
√r^2 = √7.1656
r = 2.6768
Answer
r = 2.7 rounded to the nearest tenth
SOMEONE PLEASE HELP ME I WILL LOVE YOU FORVER
Answer:
A. OEO, EOE, EEE, EEO, OOE, OEE
A (probability). [tex]\frac{3}{4}[/tex]
B. OEO, EOE
B (probability). [tex]\frac{1}{4}[/tex]
C. EOE, EEE, OOE, OEE
C (probability). [tex]\frac{1}{2}[/tex]
hope this helps:)
Answer:
A. OEO, EOE, EEE, EEO, ------- (probability). 3/4
B. OEO, EOE ------(probability). 1/4
C- EOE --------------(probability). 1/4 aswell
Step-by-step explanation:
Sorry it took so long
I hope this helps C:
-2(8f+9)-6n use f=5 and n=7
Answer: Correct me if I am wrong, but this is how I think you should solve it.
Step-by-step explanation:
1. Simplify 8×5 to 40.
−2×(40+9)−6×7
2. Simplify 40+9 to 49.
−2×49−6×7
3. Simplify −2×49 to −98.
−98−6×7
4. Simplify 6×7 to 42.
−98−42
5. Simplify
−140
Your all done! Hope this helps.
Which of the following BEST describes how to use the addition property of equality to isolate the variable y
below?
y-12 = 14
A. add 12 to the left side of the equation only
B. subtract 12 from the left side of the equation only
C. add 12 to both sides of the equation
D. subtract 12 from both sides of the equation
Please select the best answer from the choices provided
Ο Α
ОВ
С
Answer: C) add 12 to both sides
Reason:
We add 12 to the left side to undo the -12, which will get y by itself.
We must do the same thing to both sides to keep things balanced.
5TH GRADE WORK HELP PLEASE I DON'T KNOW HOW TO DO THIS
Answer:
1 yard = 3 feet
We will need to multiply the yard lengths by 3 to convert the measurements to feet.
8 feet x 3 = 24 yards >>>> 8 ft = 24 yards
6 feet x 3 = 18 yards >>>> 6 ft = 18 yards
5 feet x 3 = 15 yards >>>> 5 ft = 15 yards
Then you would do Length x width x depth x 7.5 (Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the pool, expressed in gallons.)
So...
24 x 18 x 15 x 7.5 =
48, 600
I hope this helps and this helps and I hope this is the answer you needed.
6x + 12 = 3+3x
I'll give 25 points...
Step-by-step explanation:
Question:-6x + 12 = 3+3x
Answer:- 6x + 12 - 3 - 3x=0
6x-3x+12-3=0
3x+9=0
3x=-9
x=-9/3
x=-3
Hope this helps you
Have a nice day
Answer:
x = -3
Step-by-step explanation:
6x + 12 = 3+3x
6x + (12-12) = (3-12)+3x
(6x-3x) = (3x-3x)-9
3x/3 = -9/3
X=-3
(3x+8) (x + 4) need help solving the problem
Answer:
3x^2 [squared] + 20x + 32 (If your factoring)
Step-by-step explanation:
3x X x = 3x^2
3× X 4 = 12x
8 X x = 8x
8 X 4 = 32
Need to know this asap number 6 and 7
The equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex] and the points that do not represent a function is (c)
The equation that does not assign one value to yTo do this, we simply make y the subject of formula.
So, we have:
[tex]\frac 5y = 7x + \frac{10}{2y}[/tex]
Simplify
[tex]\frac 5y = 7x + \frac{5}{y}[/tex]
Subtract 5/y from both sides
[tex]0 = 7x[/tex]
Rewrite as:
[tex]x = 0[/tex]
This means that the value of x is 0 irrespective of the value of y
Hence, the equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex]
The points that do not represent a functionFor a set of point to represent a function, the points must represent a one-to-one or many-to-one relationship.
From the list of options, option (3) represents a one-to-many relationship.
This is so because one x value has 3 y values
Hence, the points that do not represent a function is (c)
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