Solve the system of equations x + 2y = 8 and - 2x - 3y = - 7 by combining the equations.
Answers
Answer:
X+2Y = 8
-2X-3Y = -7
(X-2X+2Y-3Y)=8-7
-X-Y=1
Related Questions
Twice the product of 6 and 5 is three times as great as this number.what is the number
Answers
Answer:
The number is 20.
Step-by-step explanation:
The product of 6 and 5 is 30.
Two times the product of 30 is 60.
60 divided by 3 is 20.
The number is 20.
What is the measure of angel C?
Enter your answer as a decimal. Round only your final answer to the nearest hundredth.
m
Answers
Answer:
36.87
Step-by-step explanation:
We can use SOH CAH TOA (sine, cosine, and tangent) to solve this problem.
SOH- means Opposite over Hypotenuse
CAH- means Adjacent over Hypotenuse
TOA- mean Opposite over Adjacent
U can use either one of these to solve this problem, I will be using sine SOH (sine).
sine C = 3/5
sine ^-1 3 divided by 5 =36.8698
So, angle C = 36.8698 and rounded to the nearest hundred is 36.87
What is 96% of 675 pls exxplain
Answers
Answer:
648
Step-by-step explanation:
96 percent *675 =
(96:100)*675 =
(96*675):100 =
64800:100 = 648
Answer:
27
Step-by-step explanation:
I can't explain sorry
Simplify: 6a - 9+
10a.
Answers
In a survey of 12 people, it was found that an average of $36 was spent on their child's last birthday gift with a standard deviation of $11. Estimate the mean amount people spend on their child's last birthday gift with 80% confidence using the appropriate critical value to three decimal places. Enter your answer as equations or as numbers rounded to four decimal places.
Answers
Answer:
(27.3692 ; 44.6308)
Step-by-step explanation:
Mean, xbar = 36
Standard deviation, s = 11
Sample size, n = 12
Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Margin of Error = 2.718 * 11/sqrt(12) = 8.6308
Confidence interval :
Lower boundary : 36 - 8.6308 = 27.3692
Upper boundary : 36 + 8.6308 = 44.6308
(27.3692 ; 44.6308)
what is the answer to
2 1/2 x 1 2/5
Answers
Answer:
3.5
Step-by-step explanation:
Answer:
3 1/2 3.5 as a decimal
Step-by-step explanation:
write an expression for b divided by 6
(please only real answers, I am already failing I don't need more bs)
Answers
Answer:
Well divided by is basically he slash between the things so it would be
b/6
Step-by-step explanation:
÷ is basically (divided by) and whatever number comes first jsut write it like for example
10 divided by 4
10 / 4
Answer:
b/6
Step-by-step explanation:
dont you think thats a bit easy? B divided by six, b ÷ 6, b goes in the like box when u do long division and 6 is outside
Which of the following is closest to the mean absolute deviation of this
data set: 2.1, 3.5, 4.6, 5.8, 3.9, 4.2, 2.8?
A. 0.89
B. 1.6
C. 3.84
D. 3.9
Answers
Answer:
0.89
Step-by-step explanation:
Trust
someone help me ASAP
NO LINK
Answers
Help me pleas I need help to solv this problem
Answers
Answer:
(name) has a pizza. (name) steals (a fracton) of the pizza. How much pizza is left?
Step-by-step explanation:
Who knows the answer for this problem
Answers
- Each friend has 10 nails to paint
- There are 8 friends
- Jackie finished painting 4 friend's nails
If there are 8 friends, and each friend has 10 nails to paint, then there are 80 nails that need to be painted in total.
Jackie finished painting 40 nails.
So the math sentence will be:
80 - 40 = 40
--------------------------------------------------
Jackie needs to paint 40 more nails.
PLEASE HELP FAST!!!!
The area of the rubber coating for a flat roof is 96 square feet. The
rectangular frame the carpenter built for the flat roof has dimensions such
that the length is 4 feet longer than the width. What are the dimensions
of the frame?
Answers
Answer:
width is 8, length is 12
Step-by-step explanation:
l = w+4
l x w= 96
4+w x w = 96
w^2 +4w -96 = 0
w+12 W -8
w = 8
The dimensions of the frame are 8 feet in width, 12 feet in length.
Calculations and ParametersGiven the data:
[tex]l = w+4\\l * w= 96\\4+w * w = 96\\w^2 +4w -96 = 0\\w+12 W -8\\w = 8[/tex]
Therefore, the dimensions of the frame are 8 feet in width, 12 feet in length.
Read more about length and breadth here:
https://brainly.com/question/26759758
#SPJ6
find the difference quotient of the rational function, r(t) = -3/t+6
Answers
Answer:
r(t)= -3/t+6
r(t)= -3/6t=6
Answer: the answer is D
Step-by-step explanation:
Just did the assignment rn
The radius of a circle is 1 meter. What is the circle's area?
Answers
because the area of a circle is
PI*r^2
Radius is 1 so we multiply it by 1
1*3.14= 3.14 therefore the answer should be 3.14 if i’m not wrong
The area of a rectangle is 144a^8b^4 square units. If the width of the rectangle is 8a²b^2 units, what is the length in units?
A 18a^6b^2 units
B 136a^6b^2 units
C 152a^10b^6 units
D 1152a^10b^6 units
Answers
Answer:
A) 18a^6b^2
Step-by-step explanation:
area = width x length
length = area/width
144a^8b^4/8a²b^2 = 18a^6b^2
Drag these numbers in order, from least (top) to greatest (bottom).
Drag and drop application.
Drag these numbers in order, from least (top) to greatest (bottom).
Answers
Answer:
I can't help you if I don't know the number
PLEASE !!! HELP QUICKLY !!!
Some credit cards offer a low introductory APR for a set period of time. After the introductory period is over, the APR is increased to a new rate. According to the sample credit card disclosure agreement, after a period of ,_______ the APR will increase to ______.
Blank 1 options (one month, six months, one year)
Blank 2 options (8.99%, 10.99%, 12.99%, 14.99%, 28.99%)
Answers
Answer:
1 Year & 14.99%
Step-by-step explanation:
Find the missing length as shown in the picture
The triangles are similar
I need an explanation
Answers
Answer:
15
Step-by-step explanation:
ΔRST ≈ ΔRDE
[tex]\frac{RS}{RT} =\frac{RD}{RE} \\\\\frac{35}{56} =\frac{x}{24} \\\\56x=840\\x=15[/tex]
RD = 15
A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7x^2-420x+81,610. How many cars must be made to minimize the unit cost? Do not round your answer.
Answers
Answer:
300 cars must be made to minimize the unit cost
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
The cost of producing x cars is given by:
[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]
So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]
How many cars must be made to minimize the unit cost?
This is the xvalue of the vertex. So
[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]
300 cars must be made to minimize the unit cost
John shared 3 cookies with 4 friends. What fraction of a cookie did each friend receive?
Answers
Answer:
3/4 of a cookie
Step-by-step explanation:
Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions the population follows a logistic growth model: P(t) = d 1 + ke−ct where c, d, and k are positive constants. For a certain fish population in a small pond d = 1200, k = 11, c = 0.2, and t is measured in years. The fish were introduced into the pond at time t = 0. (a) How many fish were originally put in the pond? 100 Correct: Your answer is correct. fish (b) Find the population after 10, 20, and 30 years. (Round your answers to the nearest whole number.) 10 years 1 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. fish 20 years fish 30 years fish (c) Evaluate P(t) for large values of t. What value does the population approach as t → [infinity]? P(t) =
Answers
Answer:
(a) 100 fishes
(b) t = 10: 483 fishes
t = 20: 999 fishes
t = 30: 1168 fishes
(c)
[tex]P(\infty) = 1200[/tex]
Step-by-step explanation:
Given
[tex]P(t) =\frac{d}{1+ke^-{ct}}[/tex]
[tex]d = 1200\\k = 11\\c=0.2[/tex]
Solving (a): Fishes at t = 0
This gives:
[tex]P(0) =\frac{1200}{1+11*e^-{0.2*0}}[/tex]
[tex]P(0) =\frac{1200}{1+11*e^-{0}}[/tex]
[tex]P(0) =\frac{1200}{1+11*1}[/tex]
[tex]P(0) =\frac{1200}{1+11}[/tex]
[tex]P(0) =\frac{1200}{12}[/tex]
[tex]P(0) = 100[/tex]
Solving (a): Fishes at t = 10, 20, 30
[tex]t = 10[/tex]
[tex]P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483[/tex]
[tex]t = 20[/tex]
[tex]P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999[/tex]
[tex]t = 30[/tex]
[tex]P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168[/tex]
Solving (c): [tex]\lim_{t \to \infty} P(t)[/tex]
In (b) above.
Notice that as t increases from 10 to 20 to 30, the values of [tex]e^{-ct}[/tex] decreases
This implies that:
[tex]{t \to \infty} = {e^{-ct} \to 0}[/tex]
So:
The value of P(t) for large values is:
[tex]P(\infty) = \frac{1200}{1 + 11 * 0}[/tex]
[tex]P(\infty) = \frac{1200}{1 + 0}[/tex]
[tex]P(\infty) = \frac{1200}{1}[/tex]
[tex]P(\infty) = 1200[/tex]
Point Z is the incenter of triangle RST. Point Z is the incenter of triangle S R T. Lines are drawn from the points of the triangle to point Z. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. Angle A S Z is (5 x minus 9) degrees and angle Z S B is 16 degrees. What is the value of x? x = 2 x = 3
Answers
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
SZ is the angle bisector of angle S, so ...
∠ASZ = ∠ZSB
5x -9 = 16
5x = 25 . . . . . . add 9
x = 5 . . . . . . . . .divide by 5
Answer:
C
Step-by-step explanation:
mhm
can someone please help me? I really need help
Answers
Answer:
x=49
<A=90
<E=147
Step-by-step explanation:
Find Value of x. The diagram is not to scale.
Answers
Answer:
x = 45
Step-by-step explanation:
180 - 106 = 74
74 + 61 = 135
180 - 135 = 45
45 = x
Find the mean absolute deviation of the set of data. Round your answer to two
decimal places.
3, 1, 5, 4, 8,6
Answers
Answer:
4.5 is the mean/average
Step-by-step explanation:
3+1+5+4+8+6=27
27 divided by 6 = 4.5
The length of a rectangle is 3 yards less than 5 times the width. If the perimeter is 102 yards, find the length and the width of the rectangle.
Answers
Answer:
Width = 9 yards, length = 42 yards
Step-by-step explanation:
Perimeter = 2xlength + 2xwidth. Let's call length L and width W. The question also states that L = 5W-3. Therefore, 102 = 2x (5W-3) + 2W. Then, 102 = 12W - 6. 108 = 12W, so W = 9 yards. Since L = 5W - 3, we get 45-3 = 42 yards.
find the length of x
help please i need it asap
Answers
Step-by-step explanation:
[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]
#CMIIWPlz someone help me on these 2 questions!! I'm desperate :)
Answers
Answer:
Step-by-step explanation:
7. The graph does not touch the x axis and never will
8. Horizontal asymptote is y=-100
Factor the binomial b^2 - 9
Answers
Answer:
(b-3)(b+3)
Step-by-step explanation:
b^2+3b-3b-9
Explanation: Sum-product pattern, then find the common factor(s), rewrite into factored form : )
help me and I’ll give you brainliest
Answers
Answer:
50m
Step-by-step explanation:
The triangles are similar, so their sides are in ratio:
BC/BE=AD/ED
j/46=25/23
j=(25/23)(46)=50