Answer:
a (5,0)
Step-by-step explanation:
2x + y = 10 substitute y= x - 5 into that first equation
2x+(x-5)=10
2x+x-5=10
3x - 5 = 10
3x = 10 + 5
3x = 15
[tex] \frac{3x}{3} = \frac{15}{3} [/tex]
x=5
substitute the x into either the first or second equation
2(5) +y=10
10 + y = 10
y= 10 - 10
y = 0
therefore
x = 5 and y= 0
Gabrielle’s age is two times Mikhail’s age. The sum of their ages is 36. What is Mikhail’s age?
Graph the image of the given triangle after the transformation that has the rule (x, y)→(x−5, y+6). Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.
Answer:
Step-by-step explanation:
Transformation involves changing the position of a shape in the coordinate.
See attachment for the image of the triangle
Assume the triangle is triangle ABC.
The coordinates of ABC are:
[tex]\mathbf{A = (-1,-4)}[/tex]
[tex]\mathbf{B = (-2,-7)}[/tex]
[tex]\mathbf{C = (5,-6)}[/tex]
The transformation rule is given as:
[tex]\mathbf{(x,y) \to (x -5,y+6)}[/tex]
So, we have:
[tex]\mathbf{A' = (-1 -5,-4+6)}[/tex]
[tex]\mathbf{A' = (-6,2)}[/tex]
[tex]\mathbf{B' = (-2 -5,-7+6)}[/tex]
[tex]\mathbf{B' = (-7,-1)}[/tex]
[tex]\mathbf{C' = (5 -5,-6+6)}[/tex]
[tex]\mathbf{C' = (0,0)}[/tex]
So, the coordinates of the new triangle would be:
[tex]\mathbf{A' = (-6,2)}[/tex]
[tex]\mathbf{B' = (-7,-1)}[/tex]
[tex]\mathbf{C' = (0,0)}[/tex]
See attachment for the image of ABC
Read more about transformations at:
https://brainly.com/question/12463306
3x-29=6x-7 what is x
Answer:
Step-by-step explanation:
You want to get x on one side and the constants on the other. First subtract both sides by 3x to get:
-29 = 3x - 7
Now add 7 to both sides to get:
-22 = 3x
Divide each side by 3 to get:
x = -22/3
Enter the sum of numbers as a product of their GCF.
30 + 36
The sum of the numbers as a product of their GCF is
Their GCF is 6 and the sum is 66
Step-by-step explanation:
A line has slope 3 and y-intercept 4.
Which answer is the equation of the line?
O y = 3x + 4
Oy= 3x -4.
O y= 3/4x-4
O y = 4x + 3
Answer:
y = 3x +4
Step-by-step explanation:
In slope-intercept form, the equation of a line is ...
y = mx + b
Where m is the slope (3) and b is the y-intercept (4).
Putting the given numbers in the equation, it becomes ...
y = 3x +4
At a local festival, general admission was $3 for students and $5 for adults. 331 people came to the festival and they sold a total of $1431 tickets. How many students came to the festival?
Answer:112
Step-by-step explanation:
I did it and we doing the same test rn haha. What did you get for the grant one?
The value of y is directly PROPORTIONAL to the value of x. If y=44 when x= 240, what is the value of y when x=84?
If you need the answer in fraction form, then it would be 77/5
This is equivalent to the mixed number 15 & 2/5
======================================================
Work Shown:
y = k*x ..... general direct proportion equation
44 = k*240 .... plug in x = 240 and y = 44
240k = 44
k = 44/240
k = 11/60 .... divide both parts by 4
y = k*x .... go back to the general form
y = (11/60)x .... plug in the k value we found earlier
y = (11/60)*84 .... plug in x = 84
y = 15.4
---------------
Extra info:
15.4 = 15 + 0.4
15.4 = 15 + 4/10
15.4 = 15 + 2/5
15.4 = 15 & 2/5 .... mixed number form
and
15.4 = 15 + 2/5
15.4 = 75/5 + 2/5
15.4 = (75+2)/5
15.4 = 77/5 ... improper fraction
-1 2/3 divided by 6 need helo asap
Answer:
-5/18
Step-by-step explanation:
-1 2/3 is equal to -5/3 and if you follow the keep change flip rule, keep -5/3 change the division sign to multiply and then flip the fraction (6/1 to 1/6) and then multiply.
-5/3 * 1/6 = -5/18
HELP QUICK WILL GIVE BRAINLIEST
Answer:
I gave the answers to the first four problems.
Step-by-step explanation:
1) LAB=40°
2) angle 3= 57°
3) x=25°
4) y= 29°
Please help ASAP HELP!
Answer:
Step-by-step explanation:
You equal both angles to each other and solve. You should get x=5, the you plug in x giving you 44 for both angles and 88 for ABC
carol feeds her bird the same amount of food every day. over the past 7 days, her bad of bird food has decreased by 1 3/4 cups.
Answer:
12.25 or 12 1/4
Step-by-step explanation:
Every day, the bird at 1.75 or 1 and 3/4. so, this would also equal to 1.75*1 day.
So, 7 days, the bird would eat, 1.75*7 days.
1.75*7=12.25
Answer:
12.25 or 12 1/4
Step-by-step explanation:
Every day, the bird at 1.75 or 1 and 3/4. so, this would also equal to 1.75*1 day.
So, 7 days, the bird would eat, 1.75*7 days.
1.75*7=12.25
0.00000512 in scientific notation
Answer:
5.12 x 10 -6
Step-by-step explanation: I’m pretty sure
The length of a rectangle is four more than three times it’s width. The perimeter is 64 inches
Answer:
Length: 25, Width: 7
Step-by-step explanation:
Let the width be represented by w. We can then assume that the length is equivalent to 3w+4
So, we can set the equation 2(3w+4)+2(w). Simplify to 8w+8=64
Simplify the equation and solve for w, which is 7
Plug into the the length, which is 3w+4
Answer:
Length: 25 inches
Width: 7 inches
Step-by-step explanation:
Perimeter = 2L + 2W
Length: 3w + 4
Width: w
64 = 2(3w + 4) + 2w
64 = 6w + 8 + 2w
64 = 8w + 8
56 = 8w
w = 7
Length: 3(7) + 4 = 25
Width: 7
How do you do this question?
================================================
Explanation:
Choice A is true assuming we have [tex]a_n = (-1)^n*b_n[/tex]
In this case, [tex]a_n = (-1)^n*\frac{1}{\sqrt{n}}[/tex] and [tex]b_n = \frac{1}{\sqrt{n}}[/tex]
--------
Choice B is false. See choice A above.
--------
Choice C is true. The sequence [tex]\{b_n\}[/tex] is decreasing. As n gets larger, [tex]b_n[/tex] gets smaller. This is because the denominator is growing larger with the numerator held constant.
--------
Choice D is false. This contradicts choice C.
--------
Choice E is true since the denominator is growing forever
This is similar to [tex]\displaystyle \lim_{n \to \infty} \frac{1}{n} = 0[/tex]
--------
Choice F is true due to choices C and E being true.
--------
Choice G is false because it contradicts choice F.
60 5/6 + 54 1/3 + 56 1/6 + 59 1/3 pls help
Answer: Is 174.333333333 Hope this helps! and pls give me brainliest i need it
Step-by-step explanation:
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer: x ~34.31 (rounded)
The opposite of an integer is always negative.
Answer:
False
Step-by-step explanation:
To find the opposite of an integer, we just change its sign. If it is negative, change to positive. If it is positive change to negative. Opposite integers are the pairs of integers that have the same absolute value, or the same distance from zero. The sum of two opposites is always zero.
Hope this helps :)
I needdddd helpppp !! Quickkkk !!
P = 2l + 2w
A rectangle has a width of x and a length of
x + 2. The perimeter is 20 inches. Find the value of the width and the length of the rectangle.
A. Width=9, Length=11
B. Width=6, Length=8
C. Width=4,Length=6
D. Width=3, Length=5
Answer:
width= 4, length= 6
Step-by-step explanation:
use perimeter formula and substitute values
so formula becomes:
20= 2(x+2) + 2(x)
expand the brackets and that gives us
20= 2x+4 +2x
so
16=4x
x= 4
so width is x which is 4
and length is x+2 which is 6
Help me please does anyone know this answer
Answer:
There are 150 new employees in the sample space.
There are 30 new employees in each event.
There is a 20% probability that you choose a new employee that has been assigned to orientation group C
Step-by-step explanation:
Bill hikes 8 miles in 3 hours. At this rate. how many miles will he hike after 2 hours?
Answer:
5 1/3 miles
Step-by-step explanation:
We can use a ratio to solve
8 miles x miles
------------ = --------
3 hours 2 hours
Using cross products
8*2 = 3x
16 = 3x
Divide by 3
16/3 = 3x/3
5 1/3 miles =x
Answer: [tex]5 \frac{1}{3}[/tex] miles
For the rate of 8 miles in 3 hours, you divide.
For the rate of - miles in 2 hours, multiply.
8 x 2 = 3x
16 = 3x
Now, we have to divide by 3x by 3.
3x divided by 3 = 5 1/3
Answer = 5 1/3
Find the distance between the two numbers on a number line. Write your answer as a decimal.
-1.85 , 7.36
Answer:
9.21
Step-by-step explanation:
I'm pretty sure you just add the two numbers as positive numbers :/
The required distance on the number line between the points -1.85 and 7.36 is 9.21.
Given that,
To determine the distance between the two numbers on a number line points are -1.85 and 7.36.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
On the number line, -1.85 lies on the left of the zero, and 7.36 lies on the right so the required distance would be the addition of the two points. So,
Distance = 7.36 - (-1.85)
Distance = 7.36 + 1.86
Distance = 9.21
Thus, the required distance on the number line between the points -1.85 and 7.36 is 9.21.
Learn more about number line here:
brainly.com/question/17683084
#SPJ5
Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Excel or Minitab users: The data set is available in file namedPaint.
Paint 1 Paint 2 Paint 3 Paint 4
128 144 133 150
137 133 143 142
135 142 137 135
124 146 136 140
141 130 132 153
At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below:
1. Sum of Squares,Treatment
2. Sum of Squares,Error
3. Mean Squares,Treatment
4. Mean Squares,Error
Answer:
(1) 330
(2) 692
(3) 110
(4) 43.25
Step-by-step explanation:
The data provided is for the dying time of four different types of paint.
One-way ANOVA can be used to determine whether all the four paints have the same drying time.
Use Excel to perform the one-way ANOVA.
Go to Data → Data Analysis → Anova: Single Factor
A dialog box will open.
Select the data.
Select "Grouping" as Columns.
Press OK.
The output is attached below.
The required values are as follows:
(1)
Sum of Squares of Treatment (Between Subjects):
SST = 330
(2)
Sum of Squares of Error (Within Subjects):
SSE = 692
(3)
Mean Squares Treatment (Between Subjects):
MST = 110
(4)
Mean Squares Error (Within Subjects):
MSE = 43.25
5 yüz binlik 2 binlik 4 yüzlükten oluşan
altı basamaklı doğal sayı kaçtır?
Answer:
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Which mapping best represents the function f(x) = 2x2 + 5x + 3 when the domain is {–1, 0, 3}?
Answer:
Step-by-step explanation:
Given the function f(x) = 2x^2 + 5x + 3 with the domain {-1, 0, 3}, to get the mapping that best represents the function, we will have to find the codomain of the function given by substituting the domain values into the function;
when x = -1
f(-1) = 2(-1)^2 + 5(-1)+ 3
f(-1) = 2 - 5+ 3
f(-1) = 0
when x = 0
f(0) = 2(0)^2 + 5(0)+ 3
f(0) = 0+0+ 3
f(0) = 3
when x = 3
f(3) = 2(3)^2 + 5(3)+ 3
f(3) = 18+15+ 3
f(3) = 36
Hence the mapping is {0,3,16}
Which of the following is a point on the graph of y-7=3(x-5)
Which is the best approximate solution of the system of linear equations y=1.5x -1 and y=1
Answer:
(1 1/3, 1)
Step-by-step explanation:
1.5x-1=1
1.5x=2
x=1 1/3
y=1
(1 1/3, 1)
Write the equation of a line that passes through two points (3, 4) and (4, -2).
Answer:
y=-6x+22
Step-by-step explanation:
Equation is declining so its a negative
Mid point on x axis between the two is 22
Use the domain and range of each of the following relations to determine which is a function.
{(-4,3), (-2,-1), (-4,8)}
{-4, 3), (-2.-1), (-7, 8)}
{-4,-2,-7, 7}
{-4,3). (-2, -1). (-2, -8), (-7,8)}
Answer:
A) Not a function
B) Function
C) Function
D) Not a function
Step-by-step explanation:
If the relation has two of the same x-values (that equal different y-values), it is not a function. In other words, if each input value leads to only one output value, classify the relation as a function.
{(-4,3), (-2,-1), (-4,8)} = Not a function
{-4, 3), (-2.-1), (-7, 8)} = Function
{-4,-2,-7, 7} = Function (I think?)
{-4,3). (-2, -1). (-2, -8), (-7,8)}= Not a function
line A and B are parallel. line C and D are parallel. Line D is perpendicular to line B . therefore line C is ? to line A
Answer:
C is Perpendicular to A
Step-by-step explanation:
what are the measures of angles a,b,c ?
Answer:
a=30 , b=60, c=105
Step-by-step explanation:
a=30 [Being vertically opposite angle]
Now,
a+b+90=180 [Being the sum of interior angles of a triangle]
or, 30+b+90=180
or, b+120=180
or, b=180-120
so, b= 60
Again,
c+75= 180 [Being linear pair]
or, c=180-75
so, c= 105