Answer:
it is a simultaneous equation.
the -9d can be cancelled to find the answer
The requried solution of the given system of equations is c = 8 and d = -7.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
Given a system of equations,
6c-9d=111 - - - - - (1)
5c-9d=103 - - - - -(2)
Solving the above two equations,
by subtracting 2 from 1|
c = 111 - 103
c = 8
Now,
6(8) - 9d = 111
d = - [111 - 48] / 9
d = -63 / 9
d = -7
Thus, the requried solution of the given system of equations is c = 8 and d = -7.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ2
i)x-1 by 4=3
ii)3x+6 by 2=3 by 2
iii)3x-1by5=2x+3by7
Answer:
13,-1,2
Step-by-step explanation:
i hope it is helpful......for you
Five times the sum of a number and 7 is 3 more than the double of a number. Find the number.
Show all work.
Please I will make you BARINLIEST!
Step-by-step explanation:
5 = x + 3. The product of 2 times a number is 10. 2x = 10. One half a number is 10 x/2 = 10. Five times the sum of x and 2 5(x + 2). Seven is greater than x.
Answer:
35
Step-by-step explanation:
This is how you can solve for the missing number that is doubled: ( x )
7 = 3 + 2x
7 ( -3 ) = 3 ( -3 ) + 2x
4 = 2x
4 ( /2 ) = 2x ( /2 )
2 = x
This is how you solve for the number the question is asking for: ( y )
y = 5 ( 3 + 2x )
y = 5 ( 3 + 2 ( *2 ))
y = 5 ( 3 + 4 )
y = 5 ( 7 )
y = 5 * 7
y = 35
Write an question to represent:
one less than the quotient of four and a number x
Answer:
4/x-1
Step-by-step explanation:
so divide by x
so 4/x
less 1
4/x-1
A microwave is priced at $320.50. There is a 4% sales tax rate. What is the sales tax for the microwave in dollars and cents?
Answer:
$333.32 hope this helps have a nice day please give me brainliest :)
Step-by-step explanation:
The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d
from the source of the sound.
A person 14 feet from a jetski, it is 85 decibels loud.
How loud is the jetski when the person is 41 feet away? (Round to 3 decimal places.)
dB
Answer:
L = 9.91 decibels.
Step-by-step explanation:
The loudness, L is inversely proportional to the square of the distance, d, from the source of the sound.
i.e L [tex]\alpha[/tex] [tex]\frac{1}{d^{2} }[/tex]
L = [tex]\frac{k}{d^{2} }[/tex]
Where k is the constant of proportionality.
When d = 14 feet and L = 85 dB, then;
k = L x [tex]d^{2}[/tex]
= 85 x [tex](14)^{2}[/tex]
= 16660
k = 16660
L = [tex]\frac{16660}{d^{2} }[/tex]
Thus, when d = 41 feet, then;
L = [tex]\frac{16660}{(41)^{2} }[/tex]
= [tex]\frac{16660}{1681}[/tex]
= 9.91077
L = 9.91 dB
The loudness is 9.91 decibels.
A line passes through the point (4, -6) and has a slope of 4. Which is the equation of the line?
Answer:
It is even clearer if we put it in the chart
A and B are similar cuboids.
surface area of A: surface area of B = 25 : 36
Work out volume of A: volume of B
A 5:6
B 125 : 216
C 25 : 36
D 625 : 1296
Answer:
B. 125 : 216Step-by-step explanation:
Surface area of cuboid A with side a is:
6a²Same for cuboid B with side b:
6b²Ratio of surface areas:
6a² : 6b² = 25 : 36 ⇒a² : b² = 25 : 36 ⇒a : b = 5 : 6Volumes of A and B are:
a³ and b³And their ratio is:
a³ : b³ = 5³ : 6³ ⇒a³ : b³ = 125 : 216Correct option is B
Answer:
B. 125 : 216
Step-by-step explanation:
What is the value of x?
Answer:
the value of X is 10x
Step-by-step explanation:
2/5 divided by 1 7/8
0.21333333333
answer:
Answer:
0.213
Step-by-step explanation:
I used a calculator :)
3x2 + 6x + 3
Factor out the GCF
Answer:
[tex]3( {x}^{2} + 2x + 1)[/tex]
Hope this helps!
20 POINTS
The price of a car has been reduced from $24,000 to $14,880. What is the percentage decrease of the price of the car?
Decrease of price = $24,000 - $14,880
=> $9,120
Percentage decrease = 9120/24000×100
=> 38%
Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-intercept of -2.
Find the slope of both lines. In the answer box give the slope of the steeper line.
Answer:
The linear equation in the slope-intercept form will be:
[tex]y\:=\:\frac{2}{3}x+64[/tex]
Step-by-step explanation:
From the line graph, taking two points
(21, 78)(27, 82)Finding the slope between (21, 78) and (27, 82)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(21,\:78\right),\:\left(x_2,\:y_2\right)=\left(27,\:82\right)[/tex]
[tex]m=\frac{82-78}{27-21}[/tex]
[tex]m=\frac{2}{3}[/tex]
We know that the slope-intercept of the line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
substituting (21, 78) and m = 2/3 in the slope-intercept of the line
[tex]y = mx+b[/tex]
[tex]78=\frac{2}{3}\left(21\right)+b[/tex]
switch sides
[tex]\frac{2}{3}\left(21\right)+b=78[/tex]
[tex]14+b=78[/tex]
[tex]b=64[/tex]
substituting b = 64 and m = 2/3 in the slope-intercept of the line
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{2}{3}x+64[/tex]
Therefore, the linear equation in the slope-intercept form will be:
[tex]y\:=\:\frac{2}{3}x+64[/tex]
Carl button airline ticket two weeks ago the cost of this flight was $300 what is the percent increase
I’m stuck can some one help me
Answer:
3) Midpoint is (-4,0.5)
Option A is correct.
4) Midpoint is (2.5,0)
Option B is correct.
5) The factors are (x+4)(x-7)
Option C is correct.
6) The factors are (x+4)(x+2)
Option A is correct.
Step-by-step explanation:
Question 3
Find midpoint of the following:
(2,-7), (-10,8)
The formula used to find midpoint is: [tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
We have [tex]x_1=2, y_1=-7, x_2=-10,y_2=8[/tex]
Putting values and finding midpoint
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )[/tex]
So, Midpoint is (-4,0.5)
Option A is correct.
Question 4
Find midpoint of the following:
(2,-10), (3,10)
The formula used to find midpoint is: [tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
We have [tex]x_1=2, y_1=-10, x_2=3,y_2=10[/tex]
Putting values and finding midpoint
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2+3}{2},\frac{-10+10}{2} )\\Midpoint=(\frac{5}{2},\frac{0}{2} )\\Midpoint=(2.5,0 )[/tex]
So, Midpoint is (2.5,0)
Option B is correct.
Question 5
Factor each completely
[tex]x^2-3x-28[/tex]
We will break the middle term and find factors
[tex]x^2-3x-28\\=x^2-7x+4x-28\\Taking\:common\\=x(x-7)+4(x-7)\\=(x+4)(x-7)[/tex]
So, the factors are (x+4)(x-7)
Option C is correct.
Question 6
Factor each completely
[tex]x^2+6x+8[/tex]
We will break the middle term and find factors
[tex]x^2+6x+8\\=x^2+4x+2x+8\\=x(x+4)+2(x+4)\\=(x+4)(x+2)[/tex]
So, the factors are (x+4)(x+2)
Option A is correct.
I need help I don’t understand number lines
Answer:
Well according to the number line shown, it is in the negative area and if you see this it is near -6.5, all you need to do is count the spots until it hits the circle which is -6.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
- 6.8.... just count the tenths marks.. 6.1,6.2,6.3... ect, ect
(1 point) Find the size of the sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want 9595% confidence that the error is smaller than 0.03.
Answer:
The size of the sample = 1088.90
Step-by-step explanation:
Given that:
The confidence interval level = 0.95
The margin of error = 0.03
Suppose the proportion of the boys and the girls are p₁ and p₂ respectively.
The Standard error S.E of difference is:
[tex]S.E (p_1-P_2) = \sqrt{ \dfrac{p_1(1-p_1) }{n} + \dfrac{p_2(1-p_2)}{n} }[/tex]
Assume p₁ = p₂ = 0.5
[tex]S.E (p_1-P_2) = \sqrt{ \dfrac{0.5(1-0.5) }{n} + \dfrac{0.5(1-0.5)}{n} }[/tex]
[tex]S.E (p_1-P_2) =\dfrac{0.70711}{\sqrt{n}}[/tex]
The z-critical value at 95% C.I = 1.96
Margin of error = Z_{critical} × S.E
∴
[tex]0.03 = 1.96 \times \dfrac{0.70711}{\sqrt{n}}[/tex]
[tex]n =\dfrac{\left(1.96\ \cdot\ 0.70711^{2}\right)}{0.03^{2}}[/tex]
n ≅ 1088.90
Which number is equivalent to 32^3/5
when a number is raised to the power of a rational number it becomes a root of the denominator's order and the number inside the root is raised by the power of the numerator
for example
[tex]x^{\frac{a}{b} }=\sqrt[b]{x^a}[/tex]
in this case
[tex]32^{\frac{3}{5} }=\sqrt[5]{32^3}[/tex]
[tex]=\sqrt[5]{32768}[/tex]
=8
you can buy 3 candy bars at the quick market for 2.17. how many candy bars can you buy with 17.36?
Does this graph show a function? Explain how you know. A. Yes, the graph passes the vertical line test B. Yes; there are no y-values that have more than one x-value. C. No, there are y-values that have more than one x-value. D. No, the graph fails the vertical line test.
Step-by-step explanation:
the vertical line test means if there are more than one point on a vertical line then it is not a fuction
i cant answer without seeing the graph but i hope this helps
What’s 123 divided by 3 to the power of 6 multiplied by 1000
Answer:
41^6000
ithink
Step-by-step explanation:
Answer:I got 41 , if it’s wrong I’m so sorry
Step-by-step explanation:
How many quarts of pure antifreeze must be added to 8 quarts of a 20% antifreeze solution to obtain a 30% antifreeze solution?
(Round to the nearest tenth as needed.)
9514 1404 393
Answer:
1.1 quarts
Step-by-step explanation:
Let x represent the amount to be added, in quarts. Then the amount of anti-freeze in the resulting solution is ...
0.20(8) + 1.00(x) = 0.30(8 +x)
0.70x = 0.10(8) . . . . . . subtract 0.20(8)+0.30(x)
x = 8/7 . . . . . . . . . . . . . divide by the coefficient of x
x ≈ 1.142857 ≈ 1.1
About 1.1 quarts of pure antifreeze must be added.
Which unit price is the highest?
turnips for $1.51 per pound
peppers for $1.62 per pound
carrots for $1.26 per pound
celery for $1.48 per pound
Please help me out!
Answer:peppers
Step-by-step explanation:
Answer:
peppers for $1.62 per pound
Step-by-step explanation:
i took the test
2.25 + 65.47 + 2.333
Answer:
The answer is 70.05300.
BRAINLIEST TO CORRECT ANSWER!
The amount of energy taken in by a plant in the form of solar radiant energy, should be equal to the sum of the amount of energy that the plant uses in life processes such as growing and respiration.
Group of answer choices
True
False
Answer:
True
Step-by-step explanation:
In order to grow, a plant needs all the radient energy that it can get.
Here's a graph of a linear function. write the equation that describes that function.
Answer:
Step-by-step explanation:
slope intercept form => Y = mx + b
find m... the slope by using any two points on the line
p1 = (0,5) by inspection
p2=(4,6) by inspection
find m = y2-y1 / x2-x1
m = 6 - 5 / 4 - 0
m =1 / 4
then use the slope intercept formula
y = 1/4x + 5 for your answer. we know b = 5 b/c thats where the line crosses the y axis.
y = [tex]\frac{1}{4}[/tex]x + 5 is the answer
The school principal is designing a square courtyard outside of the school, separated into 4
equal spaces. She wants to know the total area of the courtyard.
what is the total area if each smaller space is 5 feet on each side
Answer:
Students will gain an appreciation for the study of mathematics. In ... (I.3.6) The area of the surface of a sphere is described by the formula
Step-by-step explanation:
Correct me if I'm wrong! :)
Answer:
Its 100
Step-by-step explanation:
I took the quiz and got it right
Determine the x-intercept of the line whose equation is given: y = x/2 - 3
a. (6,0)
b. (-6,0)
c. (0, 3/2)
d. (- 3/2,0)
Answer:
(6,0)
Step-by-step explanation:
To find the x-intercept, plug in 0 for y (because the x intercept is on the x axis) and find x.
0 = x/2 - 3
3 = x/2
x = 6
create an equivalent expression for 4t-18-t+2t+20
Answer:
5t + 2
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
4t - 18 - t + 2t + 20
Step 2: Simplify
Combine like terms (t): 5t - 18 + 20Combine like terms (Z): 5t + 2Answer:
5 t + 2
That's the answer
will give brainliest plz help me!
Answer:
II and III
Step-by-step explanation:
Make a table of values for f(x) after the given translation 3 units up
Answer:
In this case, we do not have the table, so i will answer in a general way:
First, let's describe the transformation.
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Then a shift of 3 units up, is written as:
g(x) = f(x) + 3
This would be translated to the table in the next way:
You need to add 3 to all the values of y (or f(x)) in the table:
So if for example, the original table was:
x f(x)
0 5
1 7
2 10
3 15
The table of the transformation will be:
x g(x)
0 5 + 3 = 8
1 7 + 3 = 10
2 10 + 3 = 13
3 15 + 3 = 18