Answer:
Both plans would cost $100 if 6 gigabytes of data are used.
Explanation:
From the question, the system of equation are correctly represented by using small letter c to represent the total cost in dollars for both equations as already assumed in the question as follows:
c = 52 + 8d ........................... (1)
c = 82 + 3d ........................... (2)
Since c is common to both, equations (1) and (2) can therefore be equated and d solved for as follows:
52 + 8d = 82 + 3d
8d - 3d = 82 - 52
5d = 30
d = 30 / 5
d = 6
Substituting d = 6 into equation (1), we have:
c = 52 + (8 * 6)
c = 52 + 48
c = 100
Since d = 6 and c = 100, it therefore implies that both plans would cost $100 if 6 gigabytes of data are used.
d= sqrt ( 2 )^ 2 +( 12 )^ 2
Answer:
d = 146
Step-by-step explanation:
Answer:
d=146
Step-by-step explanation:
the sqrt of 2(2) is 4 which can be simplified to 2 and the 12 raised to the second power is 144 so 2+144 is 146
Find the center of the circle that you can circumscribe about DABC.
. A(2, 8), B (0,8), and C (2,2)
The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].
A circle can be modelled after a expression of the form:
[tex]A\cdot x + B\cdot y + C =-x^{2}-y^{2}[/tex] (1)
We can determine all coefficients by knowing three distinct points on plane.
If we know that [tex](x_{1}, y_{1}) = (2, 8)[/tex], [tex](x_{2}, y_{2}) = (0, 8)[/tex] and [tex](x_{3}, y_{3}) = (2, 2)[/tex], then the solution of the system of linear equations is:
[tex]2\cdot A + 8\cdot B + C = -68[/tex] (2)
[tex]8\cdot B + C = -64[/tex] (3)
[tex]2\cdot A + 2\cdot B + C = -8[/tex] (4)
[tex]A = -2, B = -10, C = 16[/tex]
Now we proceed to complete squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:
[tex]x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0[/tex]
[tex](x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0[/tex]
[tex](x-1)^{2}+(y-5)^{2}= 10[/tex]
The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].
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write in point slope form an equation of the line that passes through point (6,5) with slope 3
Answer:
y - 5 = 3(x - 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = 3 and (6, 5 ) a point on the line , then
y - 5 = 3(x - 6) ← equation of line
PLZ HELP!! I will give points!
Answer:
a is -2,1 b is -3,3 c is -1,3
Step-by-step explanation:
Mark the sums of the integers as either positive or negative.
-8+(-9)
7+(-3)
5+(-12)
-12+15
The option A and C are negative. also, option B and D are positive.
What are integers numbers?Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
WE need to write the sums of the integers as either positive or negative.
-8+(-9) = -17
This gives the negative answer.
7+(-3) = 4
This gives the positive answer.
5+(-12) = -7
This gives the negative answer.
-12+15 = 3
This gives the positive answer.
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Kim needs 10 cups of apple juice for a recipe. How many quarts does she need?
She will need 2.5 quarts.
Kim will need 2.5 quarts.
How to find the quarts she needs?
Given = 10 cups quarter
From the given data = 10/4
⇒ 2.5
The answer is 2.5 quarts.
What does 1 quart equal to in cups?
There are 4 cups in 1 quart. There are 8 cups in 2 quarts. There are 16 cups in 4 quarts.
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what is the probability of flipping 3 coins on the same side that is getting either all heads or all tails? write the exact decimal answer withput rounding
10. Given m and b, write the equation of the line:
m=-4; b=2
Answer:
y= -4x + 2
Step-by-step explanation:
Y= mx + b is used to find the equation of the line
m=-4 a d b= 2
So, you put them into the equation.
Erin tried to multiply 70 x 30 by decomposing 70 and 30 into multiples of 10. Her work is below.
A-Step 1
B-Step2
C-Step3
D-Step4
E-Erin did not make a mistakes.
What is an equivalent expression to 7x - 3y + 8x ?
Pls look at the image that I uploaded
Answer:
15x - 3y
Explaination:
Adding 7x and 8x will give you 15x and the -3y doesn't need to be added up.
I hope this helps you.
23. What lines intersect to form the circumcenter of a triangle?
angle bisectors
midsegments
altitudes
perpendicular bisectors
Answer:
(d) perpendicular bisectors
Step-by-step explanation:
The circumcenter is the center of the circumcircle of the triangle. Each vertex of the triangle lies on that circle. The sides of the triangle are chords of the circle.
The perpendicular bisector of a chord is a line that intersects the center of the circle containing the chord. Hence, the perpendicular bisectors of the sides of a triangle will intersect the circumcenter.
Last week antione had a begging balance of $90 in his account he wrote 3 checks for $10 each from his checking account , withdrew another $20 and finally made a deposit of $100. Write an expression that shows his final account balance at the end of the week
Answer:
$140
Step-by-step explanation:
90-(3x10)-20+100= 140
He started with $90: (90)
Then he wrote 3 checks of $10 each: -(3x10)
Then he withdrew $20: -20
Finally, he made a deposit of $100: +100
Thus, our equation would be: 90-(3x10)-20+100=
(You might want to simplify this expression; giving you 140)
Sarah works for 8 minutes and for every 8 minutes she gains 23 coins everytime she works and she is saving for 2,000 coins in total. How many hours will it take Sarah to get 2,000 coins?
Answer:
11.59 hours {Basically 12 hours]
Step-by-step explanation:
Sarah's coin rate is 23 coins/8 minutes, or 2.875 coins/minute
Rate * Time(X) = Coins
(2.875 coins/min)*(X) = 2000 coins
X = (2000 coins)/(2.875 coins/min)
X = 695.65 minutes
(695.65 minutes)*(1 hour/60minutes) = 11.59 hours
Exterior Angles and Isosceles Triangles
Step-by-step explanation:
this is not an isoceles triangle.
anyway, we need to remember 2 things :
1. the sum of all angles in a triangle is always 180°.
2. the sum of all angles around a single point on a line is 360° (as this point wound be the center of an invisible circle). and as the line cuts this circle in half, the angles on one side of the line around this point is therefore 180°.
so, the internal angle Q is then
180 = 50 + 55 + Q
Q = 180 - 50 - 55 = 180 - 105 = 75°
the exterior angle x at Q is then
180 = Q + x = 75 + x
x = 180 - 75 = 105°
id like some help please!
im confused
Answer:
Angels D and G
Step-by-step explanation:
Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles. Although in this case angels D and G dont have opposite angels so in this cade their is only 2 alternate exterior angels.
I hope this helps have a great day and happy holidays (｢•-•)｢
Answer:
∠D and ∠G
Step-by-step explanation:
Think about what alternate exterior angles are:
"Alternate" means on either side of each other"Exterior" means outside (the transversal BI).Putting these two elements together, we can clearly see the alternate exterior angles are ∠D and ∠G.
60% of the 7th grade students take the bus. If there were 120 students on the busses, how many 7th grade students are there?
Answer: 200 Students
Step-by-step explanation:
Please help what is the answer its a math question find the lcd!!!
Step-by-step explanation:
sorry I don't now but when I now I will tell you ok but mybe it 12×12×12
Find the area of the figures
4 cm
T
4 cm
12 cm
8 cm
The area is
square centimeters
Answer:
120 [cm²].
Step-by-step explanation:
1) the required area is A=Area(ABCEFD)=Area(ABCD)+Area(CEFD);
2) Area of ABCD: Area(ABCD)=AB*BC=12*8=96 [cm²];
3) Area of CEFD: Area(CEFD)=0.5(CD+EF)*HD=0.5*(8+4)*4=24 [cm²];
4) finally, the required area is: A=96+24=120 [cm²].
all the details are provided in the attachment.
if 6 notebooks cost $15 how much would 1 notebook cost?
Answer:
well altogether it is 15 then it would be 3 dollars each
Step-by-step explanation:
:)
Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): -5, -3,1.
Assume the leading coefficient is 1.
Answer:
f(x) = x^3 + 7x^2 + 7x -15
Step-by-step explanation:
f(x) = (x+5)(x+3)(x-1)
f(x) = (x^2 + 3x + 5x + 15)(x-1)
f(x) = (x^2 + 8x + 15)(x-1)
f(x) = x^3 + 8x^2 + 15x -x^2 -8x -15
simplify
f(x) = x^3 + 7x^2 + 7x -15
Answer:
[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].
Step-by-step explanation:
By the factor theorem, if a constant [tex]a[/tex] is zero of the polynomial [tex]f(x)[/tex], [tex](x - a)[/tex] would be a factor of this polynomial. (Notice how [tex]x = a[/tex] would indeed set the value of [tex](x - a)\![/tex] to [tex]0[/tex].)
For instance, since [tex](-5)[/tex] is a zero of the polynomial [tex]f(x)[/tex], [tex](x - (-5))[/tex] would be a factor of [tex]f(x)\![/tex]. Simplify this expression to get [tex](x + 5)[/tex].
Likewise, the zero [tex](-3)[/tex] would correspond to the factor [tex](x + 3)[/tex], while the zero [tex]1[/tex] would correspond to the factor [tex](x - 1)[/tex].
All three of these factors above are linear, and the degree of the variable [tex]x[/tex] in each factor is [tex]1[/tex]. Multiplying three such linear factors would give a polynomial of degree [tex]3[/tex].
Given the three factors, the expression of [tex]f(x)[/tex] in factored form would be:
[tex]f(x) = m\, (x + 5)\, (x + 3)\, (x - 1)[/tex] for some constant [tex]m[/tex].
When this expression is expanded, the constant [tex]m[/tex] would be the coefficient of the [tex]x^{3}[/tex] term (the leading term.) In other words, [tex]m\![/tex] is the leading coefficient of [tex]f(x)[/tex]. This question has required this coefficient to be [tex]1[/tex]. Thus, [tex]m = 1[/tex]. The expression of [tex]f(x)\![/tex] in factored form would be:
[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].
What is (0,1) and (4,2) in slope intercept form
Answer:
y = 0.25x+1
Step-by-step explanation:
Y= mx+b
m= 0.25
b= 1
hope this helps
If sixteen dried beans weigh one ounce, then how many dried beans wiring one pound
Answer:
96 dried beans will weigh one pound
(6, 10)
(a, 8)
(4,5)
(2, 2)
1. Find the slope of the line. Explain or show your reasoning
2. Write an equations for the line.
3. Find the values for a and b. Explain or show your reasoning
4. What is the y-coordinate when x = 0? Explain or show your reasoning.
Find the solution(s) for x in the equation below.
x2 – 25 = 0
Answer:
x=5,-5
Step-by-step explanation:
Your friend has $100 when he goes to the fair. He spends $10 to enter the fair and $29 on food. Rude lady at the fair cost $2 per rude. Which function can be used to determine how much money he had left over after x rides?
Answer:
y=-2x-39
Step-by-step explanation:
Answer:
100=39+2x
Step-by-step explanation:
hoped that hedlp:P
A blueprint has a scale of 4 inches = 12 feet. What is the scale factor? A. 1 inch = 3 feet. B. 3 inches = 1 foot. C. 4 inches = 12 feet. D. 1 inch = 4 feet
write it in web and then u will find the answer in a calculator
The solution is Option A.
The scale factor of the blueprint is given by the equation 1 inch = 3 feet
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A blueprint has a scale of 4 inches = 12 feet
So , the value of equation A is
4 inches = 12 feet
Divide by 4 on both sides of the equation , we get
4 inches / 4 = 12 feet / 4
On simplifying the equation , we get
1 inch = 3 feet
Therefore , the value of A is 1 inch = 3 feet
Hence , the scale factor of the blueprint is 1 inch = 3 feet
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Write the equation of the line that passes through the given points.
(0,−5) and (9,−1)
Answer:
y=4/9x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-5))/(9-0)
m=(-1+5)/9
m=4/9
y-y1=m(x-x1)
y-(-5)=4/9(x-0)
y+5=4/9(x)
y+5=4/9x
y=4/9x-5
HELP ASAP 10 POINTS
Which coordinates are the best estimate of the solution to the system of equations?
Hint: Which coordinate is closest to where the lines meet?
Question 4 options:
(6,0)
(0,5)
(1,4)
(1,5)
Answer:
(1,4)
Step-by-step explanation:
It was either (1,3) or (1,4) but there was no (1,3) so (1,4).
Hopes This Helps :)
Is 1 a real or an imaginary number?
Is the following statement true or false? If false, replace the bold word to make the statement
true.
A rhombus is an equiangular quadrilateral
Answer:
replace rhombus with square, or rectangle
Step-by-step explanation: