Answer:
Step-by-step explanation:
Eq. 1 ) −5x−3y−9=0
Eq. 2) 4x−18y−54=0
there are two routes to solve this, Substitution or elimination, I'll go for the 2nd one because I can see that the y values are a multiple of each other :)
6 *( −5x−3y−9=0 )
Eq. 3) -30x -18y =54
subtract Eq. 2 from Eq. 3 :)
-30x -18y =54
-( 4x−18y=54)
-34x = 0
so according to the equations then x =0 but, that's not really a full answer, so now we should go back and try the other method, substitution,
then:
-5x = 9 +3y
x = - 9/5 + (-3/5)y
now plug that into Eq. 2
4( - 9/5 + (-3/5)y ) - 18y = 54
-36/5 + (-12/5)y -18y = 54
(-12/5)y - (90/5)y = 54+36/5
-(102/5)*y =270/5+36/5
-(102/5)y = 306/5
y = (-5/102)*(306/5)
y = -306/102
y = -3
then plug in for either equation
-5x-3( -3) = 9
-5x + 9 = 9
-5x = 0
x = 0
now we have the full answer
check it by plugging in both x and y into the 2nd equation
4(0) - 18(-3) = 54
54= 54
this seems good
Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white
paint to make pink. Gina mixed 4 pints of red paint with 3 pints of white
paint to make pink.
Yesterday, Gina again mixed red and white paint and made the same
amount of paint, but she used one more pint of red paint than she
used last week. Predict how the new paint color will compare to the
paint she mixed last week.
Answer:
Step-by-step explanation:
First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.
Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio
Second music is redder than first mix.
what is the domain of the function in the graph?
Answer:
6AJNSDJN
Step-by-step explanation:
3.
In each box there are 22 eggs. How many eggs do I have if I have 12 boxes?
The ratio of people watching whales to people fishing was five to seven if there were 72 people in all how many were fishing
There were 42 people who are fishing if the ratio of people watching whales to people fishing was five to seven.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
We have been given that the ratio of people watching whales to people fishing was five to seven if there were 72 people.
Let the number of people who watch whales would be 5x
And the number of people who are fishing would be 7x
According to the given condition, the required solution would be as:
⇒ 5x + 7x = 72
⇒ 12x = 72
⇒ x = 6
So the number of people who are fishing = 7 × 6 = 42
Therefore, there were 42 people who are fishing.
To learn more about numerical expression click here :
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#SPJ2
Copy and complete the table.
Answer:
See pic below.
Step-by-step explanation:
36. Given that y varies directly with x,
what is the equation of direct variation
if y is 3 when x is 7?
Answer:
A. y = 3/7x
Step-by-step explanation:
Direct variation: y = kx
3 = 7k
k = 3/7
y = 3/7x
(7)
* 8. Evaluate Mahesh rides a bus to work. The number of minutes his daily
bus ride took over a two-week period are recorded below:
M T W Th F
Week 1 12 8 10 9 12
Week 2 8 7 12 9 10
a. Find the mean, median, mode, and range of the data.
b. Which measure would Mahesh use to describe how many minutes
the duration of his bus ride may differ from day to day?
a. From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes.
b. The measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day is the range.
From the question,
The data for the first week are
Week 1: 12, 8, 10, 9, 12
and for the second week
Week 2: 8, 7, 12, 9, 10
Putting the data together, we have
12, 8, 10, 9, 12, 8, 7, 12, 9, 10.
Now,
]a. To determine the mean of the above data,
Mean is the average of the numbers. The mean can be determined by adding up the numbers and then dividing by the count of the numbers.
From the above, we have 10 numbers
∴ [tex]Mean = \frac{12+8+10+9+12+8+7+12+9+10}{10}[/tex]
[tex]Mean = \frac{97}{10}[/tex]
Mean = 9.7 minutes
For the median of the data
The median of a given set of numbers is the middle value when the numbers are sorted either in the ascending or descending order.
For the data 12, 8, 10, 9, 12, 8, 7, 12, 9, 10
Arranging in ascending order, we get
7, 8, 8, 9, 9, 10, 10, 12, 12, 12.
Since we have two numbers (9 and 10) in the middle, the median can be determined by the finding the average of these numbers.
∴ [tex]Median = \frac{9+10}{2}[/tex]
[tex]Median = \frac{19}{2}[/tex]
Median = 9.5 minutes
For the mode of the data
The mode is the value that occurs most often.
From the data, 12 occurs most often (three times)
∴ Mode = 12 minutes
For the range of the data
Range is the difference between the highest and lowest values.
From the data
Highest value = 12
Lowest value = 7
∴ Range = 12 - 7
Range = 5 minutes
b. For the measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day.
Here, we are talking about measures of dispersion. The only measure of dispersion from above is range.
∴ The measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day is the range.
Hence,
From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes
and the measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day is the range.
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help me with this math question please
Answer: $265
Step-by-step explanation: I just added all the numbers together.
Of the 37 teachers at Francesca's high school, 9 are female. What is the ratio of the number of male teachers to the total number of teachers?
Answer:
28 : 37
Step-by-step explanation:
Find how many male teachers there are by subtracting 9 from 37:
37 - 9
= 28
Create a ratio with this to the total number of teachers:
28 : 37
So, the ratio of the number of male teachers to the total number of teachers is 28 : 37.
21in. = _____ft. terminating or repeating
Answer:
Terminating
Step-by-step explanation:
We know that 12 inches is 1 foot. We can divide to find how many feet we have.
21 / 12 = 1.75
Since the decimal ends at 0.05, the decimal is terminating.
Best of Luck!
Na
C
9
Which rule describes the transformation?
Parallelogram ABCD is rotated to create image
A'B'C'D'.
SEE
0 (x, y) - (y, -x)
O (x, y) + (-y, x)
O (x, y) + (-X, -y)
(x, y) - (x,-y)
5
VX
4
R
D
2
1
C
-5.-5.4.-3.-2.-
23
4
SIB
Х
2
D
A
C
B
no
Answer:
(x, y) → (y, -x)
Step-by-step explanation:
The coordinates of the vertices of parallelogram ABCD are; A(2, 5), B(5, 4), C(5, 2), and D(2, 3)
The coordinates of the vertices of parallelogram A'B'C'D' are; A'(5, -2), B'(4, -5), C'(2, -5), and D'(3, -2)
The rule that escribes the transformation of the rotation of parallelogram ABCD to create the image A'B'C'D' is presented, by observation, is therefore;
(x, y) → (y, -x)
The resulting transformation used will be (x, y) -> (y, -x)
Transformation of coordinatesTransformation are rules applied to an object to change its orientation
For the given parallelogram, in order to know the rule used, we need the coordinate of the image and preimage
The coordinate of A is (2, 5) while that of A' is (5, -2).
From both coordinates, you can see that the coordinate was switched and the resulting y coordinate negated.
Hence the resulting transformation used will be (x, y) -> (y, -x)
Learn more on transformation here: https://brainly.com/question/17311824
Evaluate the following expression 2x - |4 - 7x| when x = -3
Answer:
-31
Step-by-step explanation:
2x - abs(4 - 7x)
2x = 2 * - 3 = - 6
4 - 7x = 4 - 7*-3 = 4 + 21 = 25
-6 - abs(25)
-6 - 25 = -31
You should note three things.
1. the absolute value of 25 is 25
2. There is a - sign outside the influence of the 25 so 25 becomes - 25
3. - 6 - 25 = - 31
need help with this!!
Answer:
The answer is B..... The corresponding is the identical number between all
The is 7 in each...
4.
Which point is NOT part of the solution of the inequality y < (3x + 1?
(-4, 12)
(0,0)
(2, -9)
(3, 15)
Answer: The non solutions of the inequality are A and D.
Step-by-step explanation:
Can someone help me on this math question its confusing ill give brainly when right!!!
[tex]\huge\mathsf\green{ANSWER}:—[/tex]
The coefficients are:-
-4,-6
hope it would be helpful for youAnswer:
-4,-6
Step-by-step explanation:
coefficient is an integer that is multiplied with the variable of a single term or the terms of a polynomial
Which table represents a function?
Answer:
The last one
Step-by-step explanation:
All the other tables have repeating x values
I hope this helps!
pls ❤ and give brainliest pls
For the function determine:
Answer:
answer for number a is 3/2
answer for number b is 6
answer for number c is 8
Solve: 6 - x=-12 )
A) -18
B) C 0
D) 18
Answer:
D) 18
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
[tex]6 - x = - 12 \\ constants \: nearer \\ 6 + 12 = x \\ x = 18 \\ thank \: you[/tex]
Find the first three common
multiples of 9, 12 and 18
Answer:
Step-by-step explanation:
9 = 9 , 18 , 27 , 36 , 45 , 54 , 63 , 72, 81 , 90 , 99 , 108....
12 = 12 , 24 , 36 , 48 , 60, 72 , 84 , 96 , 108, ......
18 = 18 , 36 , 54 , 72 , 90 , 108 .....
First three common multiples of 9, 12 and 18 : 36 , 72 , 108
which of the following is a prime number (a).111 (b)91 (c).61 (d).51
Answer:
(c).61
Step-by-step explanation:
61 is a prime number. The number is divisible only by 1 and itself.
raise irrational number to rational power and get a rational number
9514 1404 393
Answer:
(√2)² = 2
Step-by-step explanation:
You can do this for any rational root of a rational number. Simple examples are squares and cubes:
(√5)^2 = 5 . . . . . . √5 is irrational
(∛6)^3 = 6 . . . . . . . ∛6 is irrational
__
You can also do it with other rational roots:
x = 83^(2/3) is irrational
x^(3/2) = 83 is rational
If ABCD is dilated by a factor of }, the
coordinate of B' would be:
5
С
4
3
B
2
1
-5
4 3
-2
-10
1
2
3
4
5
-1
A
B' = ([?], [ ]
D
-3
Enter
Answer:
If ABCD is If ABCD is dilated by a factor of }, the
coordinate of B' would be:2
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The amount of lemonade left in a pitcher would be considered ________ data.
A. neither continuous nor discrete
B. discrete
C. continuous
D. both continuous and discrete
|x-2| + |x+1| -5=0
find x
Answer:
|x-2| + |x+1| -5=0
⇒|x-2| + |x+1|=5
⇒x-2+x+1=5
⇒2x=6
⇒x=3
Step-by-step explanation:
Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs of socks?
Answer:
4 coats
Step-by-step explanation:
Let the cost of a pair of shoe be x.
Thus, 6 pairs would cost; 6x
Thus,1 coat will cost 6x.
2 pairs of jeans cost as much as 3 pairs of shoes.
Thus, 2 pairs of jeans will cost 3x.
4 pairs of socks cost as much as one pair of jeans.
If 2 pairs of jeans cost 3x
Then 1 pair will cost 3x/2 = 1.5x
Thus, 4 pairs of socks will cost 1.5x.
Thus, 1 pair of socks will cost 1.5x/4
Then, 64 pairs of socks will cost;
64 × 1.5x/4 = 24x
Earlier, we saw that 1 coat costs 6x.
Thus means that;
Number of coats to exchange for 64 pairs of socks = 24x/6x = 4 coats
WHY IS MATH SO HARDDDD
Math seems difficult because it takes time and energy. Many people don't experience sufficient time to "get" math lessons, and they fall behind as the teacher moves on.
Pleaseee help!!!!!!!
Answer/Step-by-step explanation:
Given:
86.32947
Let's find the place value of each digit
8 => tens which is 80
6 => unit which is 6
3 => tenth which is 0.3
2 => hundredth which is 0.02
9 => thousandth which is 0.009
4 => ten-thousandths which is 0.0004
7 => hundred-thousandth which is 0.00007
If you add all of the it will give you 86.32947
Thus:
1. 6 => b
2. 8 => g
3. 4 => e
4. 7 => d (there's a mistake in the number of zeros written.)
5. 9 => c
*NEED AN ANSWER ASAP* My book didn’t explain how to solve these ones.
Answer:
1-2. AC = 13.6
BC = 8.9
3-4. A triangle such as the given value isn't possible
All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line. B. All boundary points of a rational inequality should always be represented by plotting a closed circle on a number line. C. All boundary points of a rational inequality should always be represented by plotting an open circle on a number line. D. All boundary points of a rational inequality that are found by determining the values for which the numerator is equal to zero should always be represented by plotting an open circle on a number line.
Answer: All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.
Step-by-step explanation:
Based on the options given in this question, it should be noted that the option that is true is that all boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.
Therefore, the correct option is A.
Circles in the Coordinate Plane
Acellus
Complete the equation of this circle:
А
1
Answer:
(x -+2)² + (y - 4)² = 36
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 2, 4) and r = 6 , then
(x - (- 2))² + (y - 4)² = 6² , that is
(x + 2)² + (y - 4)² = 36 ← equation of circle
