Answers
Answer:
x = [tex]-\frac{1}{3}[/tex], y = 2
Step-by-step explanation:
3x + 3y - 7 = 12x + y
6y - 12x - 1 = -45x
(3x - 12x) + (3y - y) = 7
(-12x + 45x) + 6y = 1
-3(-9x + 2y = 7)
33x + 6y = 1
27x - 6y = -21
33x + 6y = 1
60x = -20 -> x = -20/60 = -1/3
-9x + 2y = 7 -> y = [tex]\frac{7+9x}{2}[/tex] = [tex]\frac{7+9*-\frac{1}{3}}{2}[/tex] = 2
Related Questions
What is the range of the graph below?
Answers
Answer:
B) -4 < y
Step-by-step explanation:
The lowest point on the y axis of the graph is -4 and everything else is higher
Find the slope of a line that passes through the given pair of points: (-3 , -1) and ( 2 , -1) .
Answers
Answer:
m=0
Step-by-step explanation:
m=y2-y1/x2-x1
m=-1-(-1)/2-(-3)
m=-1+1/2+3
m=0/5
m=0
A ladder is placed 5ft away from a house. The ladder comes up to 12ft on the
side of the house. How long is the ladder?
Answers
Answer:
c = 13
Step-by-step explanation:
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
√169= √c²
13 = c
please help me!!!!!!
Answers
Answer:
(2)
Step-by-step explanation:
mean: (13+15+17+17+17+20+27)/7=18
median: 17
mode: 17
Find x and y ( please explain )
Answers
Answer:
y = 75°
Step-by-step explanation:
y and 105°
are on a straight line ,
a straight line is 180°
180 - 105 = 75°
y=75 °
I'm not sure about x hope you understand
Stephanie will be representing her school at the district track meet in the 200 meter race. She has kept records of her last 5 races. What is the mean absolute deviation of her races? Round your answer to the nearest tenth.RaceTime (seconds)123.6225.1324.8422.9524.2Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
119.816
Step-by-step explanation:
Given the data :
123.6, 225.1, 324.8, 422.9, 524.2
Mean absolute deviation (MAD) :
Σ|x - m| / n
m = mean = ΣX / n
n = same size = 5
m = 1620.6 / 5 = 324.12|
[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5
= 119.816
A computer game company conducts a survey of random sample of customers to determine their favorite type of game. The results of the survey are shown below based on the survey results how many customers are expected to prefer fantasy games out of the 1,000 customers?
Answers
Answer:
1.6% of customers
Step-by-step explanation:
A chocolate company makes dark chocolate bars. The quality control department of the company has found that the weights of the chocolate bars follow a normal distribution, with a mean of 85 grams and standard deviation of 1.2 grams. To ensure a consistent product, the company has a policy to reject any chocolate bars weighing less than 82.6 grams or more than 87.4 grams. Approximately what percent of chocolate bars are rejected?
a. 0.12%
b. 0.15%
c. 0.30%
d. 2.50%
e. 5.00%
Answers
Ms. Hernandez takes 56 students to the museum. Some of the students travel in a van and some travel on a bus. Going to the museum, the ratio of students in the van to students on the bus is 2 : 5 Going back to school, 2 students move from the van to the bus.
Answers
Answer:
I think we are missing part of the question.
But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.
On the way home, it was 14 students in the van and 42 students in the bus, the ratio changes to 1:3
Mai spent $64 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the goal did she spend on fruit?
Answers
Answer:
80%
Step-by-step explanation:
64/80 = .8/1
multiply by a hundred and you get 80%
18 multiplied by 2/3
Answers
Answer:
12
Step-by-step explanation:
18 x 2/3 = 36/3 = 12
2/3 of 18
2/3×18
2×6
12
hope this helps:)
Easy points you know it’s easy points
Answers
Answer:
98 ft²
Step-by-step explanation:
Answer:
98 ft²
Step-by-step explanation:
Want points
Estimate the number of pints in 445 ounces
Answers
Answer:
about 28
Step-by-step explanation:
its actually 27.8125 but if we're estimating im assuming that means to round
Answer:
28 pints
Step-by-step explanation:
There are 28 pints in 445 fluid ounces .
A cylinder has a height of 4 inches and a diameter of 18 inches. Which equation can be used to find the total surface area of the cylinder in square inches?
A-S=2π(9) + π(9)´2
B-S=π(9)´2 (4)
C-S=2π(9)(4) + 2π(9)´2
D-S=π(9)(4) + π(9)´2
Answers
The equation to find the total surface area of the cylinder is S = 2π(9)(h) + 2π(9)².
As per the question, the diameter of the cylinder is given as 18 inches, so we can calculate the radius (r) by dividing the diameter by 2:
r = 18 inches / 2 = 9 inches
The height of the cylinder is given as 4 inches.
To find the total surface area of a cylinder, we can use the following equation:
Total Surface Area = 2πrh + 2πr²
Now we can substitute the values into the equation to find the total surface area:
S = 2π(9)(h) + 2π(9)²
Therefore, the required equation is S = 2π(9)(h) + 2π(9)².
Learn more about the surface area of a cylinder here :
brainly.com/question/14827013
#SPJ1
what is the equation of the following line please help if u can
Answers
Answer:
B I believe
Step-by-step explanation:
every time the line hits a point you go up 1 and over 4
If you were able to pay off and get rid of all of your debt, what is that called?
Answers
Find the area of a garden whose circumference is 36 yards.
Answers
A park charges $13 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $43 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
Answers
Answer:
Reduced fee for each additional round will be $5.
Step-by-step explanation:
Let the reduced fee for each additional round played = $x
Charges for one round = $13
If Tom played for 6 rounds, total charges for the 6 rounds = 13 + 6x
Since, Tom paid $43 for 6 rounds,
13 + 6x = 43
6x = 43 - 13
6x = 30
x = 5
Therefore, reduced fee for each round will be $5.
The number of traffic citations given daily by two police departments over a two-week period is shown in the box-and-whisker plots. Which statement is NOT true?
a.The East department gave the greatest number of citations in one day.
b.The East department gave the least number of citations in one day.
c.The East department has a greater IQR than the West department.
d.The East department has the greater median of citations in one day.
Answers
Answer:
b. The East department gave the least number of citations in one day.Step-by-step explanation:
a. The East department gave the greatest number of citations in one day.
True, 210 > 190 (approx.)b. The East department gave the least number of citations in one day.
False, 110 > 90 (approx.)c. The East department has a greater IQR than the West department.
True, 4 out of 5 numbers are greaterd. The East department has the greater median of citations in one day.
True, 143 > 135 (approx.)Which of the following place values would be found to the right of 1?
Answers
Answer:
1
Step-by-step explanation:
can someone please help
find slope/rate of change
a. 1/3
b. 3
c. 30
d. 10
Answers
What is the equation of the line that passes through the point (-6, -5) and has a
slope of 3/2 ?
Answers
Answer
y= 1.5x+4
Step-by-step explanation:
If the number of bacteria in a colony doubles every 21 hours and there is currently a population of 150 bacteria, what will the population be 42 hours from now?
Answers
Answer:
450
Step-by-step explanation:
i think thats right
Part I
What is the area of the side yard?
Answers
Answer:
its 165 square feet
Step-by-step explanation:
i got the same question and that was the answer (:
A spinner has spaces numbered 1 through 10, with an equal chance of
landing on each. A winning spin is one that lands on a 7 or more. What is
the probability of a winning spin? (answer as a reduced fraction) *
1/4
1/2
3/10
2/5
Answers
2/5 is the aneswer. beacuse 7/8/9/10 eqaul 4 times out of 10 to win 4/10 reduces down to 2/5.
translate the phrase into a variable expression. use the letter m to name the variable. if necessary, use the asterisk for multiplication and the slash for division. the total number of minutes billed on the phone bill split between 3 phones
Answers
Answer:
m/3
Step-by-step explanation:
fghbzsvbftgzgbtefnysffafbydfs
Si sacas una carta al azar de un mazo estándar de 52 cartas, ¿Cuál es la probabilidad de que obtengas una carta que sea menor a cinco o una de diamante?
Answers
Explanation: 3
A right triangle has legs that measure 8 feet and 6 feet. What is the length of the hypotenuse?
A. 2 feet
B. 5 feet
C. 10 feet
D. 14 feet
Help ASAP!
Answers
Answer:
C) 10 feet
Step-by-step explanation:
h² = 8² + 6² = 64 + 36 = 100
h = √100 = 10
Hewwo!
[tex] \underline{ \underline{ \bf{Question}}} : [/tex] In a circle of radius 5 cm , AB and CD are two parallel chords of length 8 cm and 6 cm respectively. Calculate the distance between the chords , if they are :
i. on the same side of the centre
ii. on the opposite side of the centre
*Show your workings!
Answers
Answer:
AB=8cm⇒AE=4cmCD=6m⇒CF=3cmIn△AEDAE=4cm,AO=5cmOE=(AO)2−(AE)2=52−42=3cmIn△OFCCF=3cm,CO=5cmOF=OC2−CF2=52−32=4cm
∴ Distance between the chords=4cm−3cm=1cm
Answer:
I) 1 cm
II) 7 cm
Step-by-step explanation:
We are given a circle with a radius of 5 cm. AB and CD are two parallel chords of length 8cm and 6cm respectively. And we want to calculate the length of the chords if they are:
I) On the same side of the center.
Please refer to the first figure.
In it, O is the center, AB measures 8 and CD measures 6.
To find the distance between the two chords, we essentially need to find KJ, which is OJ - OK.
We will construct a segment from O to K and from K to J. This is perpendicular to the chords. Therefore, by the Perpendicular Bisector Theorem, it also bisects the chords.
ΔAOK is a right triangle. Therefore:
[tex]AO^2=OK^2+KA^2[/tex]
AO is simply the radius.
KA is half the length of AB since OK perpendicularly bisects the chord.
Therefore:
[tex](5)^2=OK^2+(4)^2[/tex]
So:
[tex]25=OK^2+16\Rightarrow OK^2=9\Rightarrow OK=3[/tex]
Likewise, ΔCOJ is also a right triangle. Therefore:
[tex]CO^2=OJ^2+JC^2[/tex]
CO is the radius, and JC will be half the length of CD. Thus:
[tex](5)^2=OJ^2+(3)^2\Rightarrow OJ^2=16\Rightarrow OJ=4[/tex]
Therefore, the distance KJ between the two chords are:
[tex]KJ= OJ-OK=4-3=1\text{ cm}[/tex]
II) On opposite sides of the center.
Please refer to the second figure.
Again, O is the center, AB measures 8, and CD measures 6.
Likewise, segments OK and OJ are perpendicular bisectors of AB and CD, respectively.
And to find the distance, we essentially need to find JK or OJ + OK.
ΔKOB is a right triangle. Thus:
[tex]OB^2=OK^2+KB^2[/tex]
OB is the radius, and KB is half of AB:
[tex](5)^2=OK^2+(4)^2\Rightarrow OK=3[/tex]
ΔJOD is also a right triangle. Thus:
[tex]OD^2=OJ^2+JD^2[/tex]
OD is the radius and JD is half of CD:
[tex](5)^2=OJ^2+(3)^2\Rightarrow OJ=4[/tex]
Therefore, the distance between the two chords are:
[tex]JK=OJ+OK=4+3=7\text{ cm}[/tex]
19. What is the solution to 5.2x = 31.2? *
Answers
Answer:
x=6
Step-by-step explanation:
hope this helps