Answer:
Yes, (6, 5) is a solution.
Step-by-step explanation:
We can answer this by using the ordered pair point (6,5) in the equation to see if it works:
–2x +y = –7
–2(6) +(5) = –7 ????
-12 + 5 = -7 ???
-7 = -7 YES
Assume your phone bill averages $165 a month and you have a car payment that is $505 per month. You also spend about $150 a week on food. How much are your monthly expenses?
Answer:
1270 a month on expenses
Answer:
1270 a month
Step-by-step explanation:
There is 4 weeks for month so you multiply 150 x 4 = 600 and just add 165 and 505 which is equal to 1270
Sara was asked by Mr. Rocha to solve the equation below. − 3 x = y + 51 What is the value of x when y has a value of − 9 ?
Answer:
x = - 14
Step-by-step explanation:
Given equation
-3x = y + 51Putting the value of y
-3x = -9+51-3x = 42x = - 42/3x = - 14Hope it's helpful!
ᔕEᒪEᑎᗩ328
The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14.
What is the equation?An equation is said to be linear if the maximum power of the variable is consistently unity.
More than one variable may be present inside a linear equation.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given equation,
-3x = y + 51
At y = -9
-3x = -9 + 51
-3x = 42
x = -14
Hence "The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14".
For more about the equation,
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please help with statistic 21
Part A
Extend the table so that we have row and column totals as shown in the diagram below.
There are 986 accurate orders from all four restaurants combined, out of 1125 orders total. The probability of an accurate order is 986/1125. Selecting two such orders, with replacement, means we get a probability of
(986/1125)*(986/1125) = 0.7682 which is approximate.
Now to the question of independence vs dependence. It all comes down to this: Does the first selection affect the second selection? If so, then we have dependent events. Otherwise the events are independent. Because we put the first selection back (or replaced it with an equivalent order), this means the first selection does not alter the second selection. The two selections effectively exists in their own separate universe so to speak.
Answer: The probability is 0.7682 and the events are independent============================================================
Part B
This time, we aren't putting the order back in the pile. Whatever we select is taken out entirely without replacement. The first selection will affect the second one. The probability of getting an accurate order for the first selection is 986/1125 = 0.8764 while the second selection is slightly different at 985/1124 = 0.8763. This difference is enough to show that we have dependent events. The second event depends on the first.
Note the second fraction has each term drop by 1.
The probability of picking two accurate orders, when replacement is not made, is (986/1125)*(985/1124) = 0.7681 approximately
Answer: The probability is 0.7671 and the events are not independent.PLEASE PLSASE ANSWER THIS
Answer:
a = 57.5
b = 57.5
Step-by-step explanation:
XY=XZ so c=d
[tex]c = d = \frac{180 - 65}{2} = 57.5[/tex]
Now draw the XH
So angle YXH = 180 — 90 — 57.5 = 32.5
a+YXH=90
a+32.5=90
so a = 57.5
We know that a + 65 + b = 180
So 57.5 + 65 + b = 180
b = 180 — 122.5
b = 57.5
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \fbox \colorbox{black}{ \colorbox{white}{a} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex]\fbox \colorbox{black}{ \colorbox{white}{b} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
From the above diagram we can conclude that ~
Angle c = Angle a (Alternate interior Angle pair)
Angle d = Angle b (Alternate interior Angle pair)
and,
Angle c = Angle dbecause their opposite sides are equal.
now, according to linear pair property ~
Angle a + Angle b + 65° = 180°replacing Angle a with Angle c and Angle d with Angle b, because they are equal to one another ~
Angle c + Angle d + 65° = 180°2 × Angle c = 180° - 65°(because Angle c = Angle d)
2 × Angle c = 115°Angle c = 115° ÷ 2 Angle c = 57.5° = Angle dSo,
Angle a = Angle c = 57.5°Angle b = Angle d = 57.5°write the equation of a line parallel to 2x+3y=12 that passes through the point (-3,4)
Answer:
[tex]y = \frac{-2}{3}x + 2[/tex]
Step-by-step explanation:
The first step is convert the given equation in a dependent and independent equation.
[tex]2x + 3y = 12[/tex]
[tex]3y = 12 - 2x[/tex]
[tex]y = 4 - \frac{2}{3}x[/tex]
[tex]x[/tex] is the independent variable and [tex]y[/tex] the dependent variable.
Since both lines are parallel the slope of both equations are the same
[tex]y = \frac{-2}{3}x + b[/tex]
Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.
[tex]4 = (\frac{2}{3})3 + b[/tex]
[tex]4 = 2 + b[/tex]
[tex]4 - 2 = b[/tex]
[tex]2 = b[/tex]
So the final equation is equal to
[tex]y = \frac{-2}{3}x + 2[/tex]
1 3/5 plus 4 1/5 add or subtract write in simplest form
Answer:
Step-by-step explanation:
1 3/5 + 4 1/5
= 8/5 + 21/5
= 29/5
= 4 4/5.
4 1/5 - 1 3/5
= 21/5 - 8/5
= 13/5
= 2 3/5.
Which equation represents a line which is parallel to y = 0?
A) y = 3
B) x = -8
C) y = x - 1
D) x = 4y
Answer:
y=3
Step-by-step explanation:
Horizontal Lines
Mario's plumbing company charges a flat fee of $40 to make a
house call, plus $25 per hour.
(a) Write an equation that describes the situation in slope-intercept form and explain what the x- and y-values represent.
(b) Graph the situation on a coordinate plane assuming the domain is all real numbers.
(c) What does the y-intercept mean?
Answer:
Step-by-step explanation:
y = mx + b
m = $25 and b = $40
(a). y = 25x + 40 , where x-value is hours of work and y-value is total amount of money consumer will pay.
(c). The y-intercept is a flat fee.
Solve the equation for x.
x/5 = -8
Answer:
x = -40
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
Multiply 5 to both sides of the equation:
(x/5) * 5 = (-8) * 5
x = -8 * 5
x = -40
x = -40 is your answer.
~
Answer:
[tex] \mathbb= > \frac{x}{5} = - 8[/tex]
[tex]\mathbb = > x = - 8 \times 5[/tex]
[tex]\mathbb = > x = - 40[/tex]
Find the product
(y-3)(y-4)
Answer:
y^2-7y+12
Step-by-step explanation:
muliply each unit of the first parentheses by the second
Which statements are true about the polynomial function?
f(x)=x^4+5x^3−x^2−5x
Select each correct answer.
A.) f(x) divided by (x+5) has a remainder of 0.
B.) (x−5) is a factor of f(x) .
C.) f(x)=0 when x=−5 .
D.) f(5)=0
Answer:
A and C are correct
the ratio of white marbles to black marbles is 7 to 10. if there are 136 marbles in the bag how many marbles are white?
Answer:
White Marbles: 56
Step-by-step explanation:
Let number of white marbles be x
7/10=x/136-x
10x=7(136-x)
10x=952-7x
17x=952
x=56
Answer:
56
Step-by-step explanation:
7/17 * 136 = 56.
Find the missing length. The triangles are similar.
Answer:
18
Set up a ratio since they are similar (congruent in the ratio of side length):
[tex]\frac{52}{24} =\frac{39}{x}[/tex]
Cross multiply:
52x = 936
x = 18
Simplify.
3.4 + (–6.3)
–9.9
–2.9
2.9
9.9
What is the equation of this line in standard form?
A: 9x−8y=23
B: 8x−9y=23
C: 8x−9y=−23
D: 8x−7y=−25
Answer:
B:8x-9y=23
Step-by-step explanation:
First find the slope:
m= y2-y1/x2-x1
y2 is 3
y1 is -1
x2 is 1/2
x1 is -4
3-(-1) is 4
1/2-(-4) is 9/2
Now the equation looks likes this:
4 / 9/2
Which can be rewritten as
4*2/9
Thus the slope is 8/9
So the equation is
y=8/9x+b
Now you can substitute to find the y-intercept:
(you can do either (-4,1) or (1/2,3)
I am going to do (1/2,3) since it is easier
3=8/9(1/2)+b
Simplify:
3=4/9+b
Subtract 4/9 on both sides:
b=23/9
Thus the equation is
y=8/9x+23/9
Multiply 9 on both sides:
9y=8x+23
Subtract 8x on both sides:
8x-9y=23
Hope this helps!
The Pie Problem!
Question: The Morgans had pumpkin pie for their Thanksgiving dessert.
The mom ate 1/4 of the pie. The dad ate 2/3 of what was remaining after the mom ate
her portion. The daughter ate 1/2 of what was remaining after the dad ate his portion
How much of the ple is left after the daughter ate her portion?
Answer:
1/12
Step-by-step explanation:
find the least common multiple of the denominators.
which is 12
so 1/4=3/12
2/3=8/12
1/2=6/12
so 3/12- 8/12 - 6/12 = -11/12
so there is 1/12th pieces left after they all ate their portions of the pie
Using the translation that moves A (2, -3) to its image A' (-1,
A
-5), complete the mapping for the translation (x, y) –
Step-by-step explanation:
(-3,-2)
that is the translation matrix for this question
Here is a triangle:
(a) Work out the size of the angle marked a.
(b) Work out the size of the angle marked b.
Answer:
a.) 130°
b.) 70°
Step-by-step explanation:
For a given triangle
a.)The sum of all angles on a straight line is equal to 180°
Now,
50° + a = 180°
Subtract 50° from each side we get,
50° - 50° + a = 180° - 50°
a = 130°
Thus, The size of the angle marked a is 130°
b.)The sum of all angles in a triangle is equal to 180°
Now,
b + 50° + 60° = 180°
b + 110° = 180°
Subtract 110° from both side we get,
b + 110° - 110° = 180° - 110°
b = 70°
Thus, The size of the angle marked b is 70°
-TheUnknownScientist 72
Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was 0.005 cm in diameter, and Eduardo's strand was 0.012 cm in diameter.
How much greater was the diameter of Eduardo's hair?
Pecan producers blow air through the pecans so that the lighter ones are blown out. The
lighter-weight pecans are generally bad ("bad nuts") and the heavier ones tend to be better
D("good nuts"). These "blow outs" and "non-blow outs" are often sold to tourists along the
highway. Suppose that 50% of the pecan "blow outs" are good and 80% of the "non-blow outs"
are good.
a. If you purchase 30 pecans, what is the expected number of good nuts you will find if you
purchase "blow outs?"
b. If you purchase 30 pecans, what is the expected number of bad nuts you will find if you
purchase "non-blow outs?"
ng your
Answer:
yes
Step-by-step explanation:
Question 2
Solve for the variable cin this equation:
a(c + b) =d
A. C= d-ab/a
B. C= d+ab/a
C. C= ab- d/a
D. d-ab/b
Answer:
A. C = (d-ab)/a
Step-by-step explanation:
a(c + b) = d
a(c + b)/a = d/a
c + b = (d/a)
c = (d/a) - b
a(c + b) = d
ac + ab = d
ac = d - ab
ac/a = d/a - ab/a
c = (d/a) - b
What is the equation of the line that passes through the point (-5, 4) and has a
slope of – 3 over 5
Answer:
y=-3/5(x+5)+4
Step-by-step explanation:
y=m(x-h)+k
y=-3/5(x+5)+4
Toby buys a new game for the price of $45.50. If the sales tax is 5%:
What is the sales tax amount?
What is the final amount
including taxi need it today
Answer:
Taxi Cost = $47.78
Step-by-step explanation:
Taxi Cost = Cost of the ride + (Cost of the ride × sale tax %) 5% = .05 as a
decimal
Taxi Cost = $45.50 + (45.50 × .05)
Taxi Cost = $45.50 + $2.275)
Taxi Cost = $47.775
Taxi Cost = $47.78
Write the equation of the graph shown below in factored form.
A. f(x) = (x+2)(x-1)(x-3)
B. f(x) = (x-2)(x+1)(x+3)
C. f(x) = (x+2)(x+1)(x+3)
D. f(x) = (x-2)(x-1)(x-3)
Answer:
a. f(x)=(x+2)(x-1)(x-3)
Step-by-step explanate
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.
7(7 – 9)
Question 15 options:
Answer: The answer is 40.
Step-by-step explanation: 7(7-9) when you use distributive property you will use the 7 outside the parenthesis. Multiply the property inside. then you will get 49-9. Then you will solve it and get the answer 40.
Write the equation of the horizontal line that passes through the point (2,-12)
Answer:
y=-12
hope this helps!
EQUATION ---> c/-q+6=14
answer choice
a) c=29
b) c=-72
c) c= 72
d) c= 68 Help please :(
Answer:
c/-9+6=14
c/-9=14-6
c/-9=8
c=8×(-9)
c= -72
Therefore the answer is (b)
A cylinder has a height of 30 ft and a volume of 63.679 ft3. What is the radius of the cylinder?
Round your answer to the nearest whole number
Answer:
26 ft
Step-by-step explanation:
What is the slope of the equation Y = 5/4x-7/4
A. -7
B. -7/4
C. 5/4
D. 5
Answer:
C. 5/4
Step-by-step explanation:
Slope formula is y=mx+b so your slope is m
In your equation y=5/4x-7/4, your slope is where m would be, so 5/4
Answer:
the slope of the equation is 5/4
Helppp me Please!! i beg
Answer:
The answer would be -16
Step-by-step explanation:
Add
5
