Answer:
33
Step-by-step explanation:
8x + 5x + 2x + 4x = 114
19x = 114
x = 6
5(6) + 3
30 + 3
= 33
What is the value of c in the equation? 15.3 = StartFraction c Over 2.1 EndFraction 13.2 17.4 32.13 321.3
Answer:
32.13
Step-by-step explanation:
15.3= c/2.1
c= 15.3* 2.1
c= 32.13
Answer:
32.13 aka C got it right on my quiz
Mark the person on top as Brainliest there are right and answered first
For what value of k does the line represented by the equation 1-kx = -3y contain the point (4,-3)?
Answer:
k = -2
Step-by-step explanation:
Given equation
1-kx = -3y
point on this line = (4,-3)
If point lies on the given line, then if we plug in the value (4,-3), then it will satisfy the equation
1-kx = -3y
using x = 4 and y = -3
1-k*4 = -3*-3
1 - 4k = 9
=> -4k = 9 -1 = 8
=> k = 8/-4 = -2
Thus, value of k is -2
Determine if triangle DEF with coordinates D(2,1), E(3,5), and F (6,2) is an equilateral triangle. Use evidence to support your claim
Answer:
No, it is isosceles.
Step-by-step explanation:
(In assumption that the points have been plotted on a graph)
After the points have been plotted we need to find the distance between each set of points. DE, DF, and, EF.
Finding DE and DF
To find DE and DF, we need to do some counting. From point D to point E, we travel 2 units right, and 8 units up forming an imaginary triangle with a right angle. From D to F, we again travel 8 units right and 2 units up, forming the same triangle, just oriented slightly differently.
Using the Pythagorean Theorem ([tex]a^2 + b^2 =c^2[/tex]) we can plug in some values to find C and two of our side lengths.
[tex]a^2+b^2=c^2[/tex]
[tex]2^2+8^2=c^2[/tex]
[tex]4 + 64 = c^2[/tex]
[tex]68=c^2[/tex]
[tex]\sqrt{68} =c[/tex]
[tex]8.25=c[/tex]
The lengths of DE and DF are both roughly 8.25
Finding EF
Finding EF is going to be the same process but just a little different.
If we start at E and travel to F, we move down 6 units and right 6 units, forming another right triangle. now we use the Pythagorean Theorem ([tex]a^2 + b^2 =c^2[/tex]) again, to find C and the length of EF.
[tex]a^2 + b^2 =c^2[/tex]
[tex]6^2+6^2=c^2[/tex]
[tex]36+36=c^2[/tex]
[tex]72=c^2[/tex]
[tex]\sqrt{72} =c[/tex]
[tex]8.49=c[/tex]
The length of EF is roughly 8.49 units.
Since not all of the sides of the triangle are the length, triangle DEF is not equilateral. Instead triangle DEF is isosceles.
Answer:
No it is isosoles
Step-by-step explanation:
What is the factored form of 64g^3+8?
(4G+2)(16g^2+8g-4
(4g+2)(16g^2-8g-4
(4g+2)(16g^2+8g+4
(4g+2)(16g^2-8g+4
Answer:
(4g+2)(16^2-8g+4)
Step-by-step explanation:
Method 1
Since you've been given possible answers,expand each option. The option which gives 64g^3+8 is the answer.
Method 2
use the formula (a+b) (a^2-ab+b^2)
where a is 64g^3
b is 8
find the cubic root of a and b
a=4g
b=2
substituting a and b into the formula
(4g+2)(4g)^2-2.(4g)+2^2)
(4g+2) (16g^2-8g+4)
The solution is:
(4g+2)(16^2-8g+4), is the factored form of 64g^3+8.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
Method 1
Since you've been given possible answers, expand each option. The option which gives 64g^3+8 is the answer.
Method 2
use the formula (a+b) (a^2-ab+b^2)
where a is 64g^3
b is 8
find the cubic root of a and b
a=4g
b=2
substituting a and b into the formula
(4g+2)(4g)^2-2.(4g)+2^2)
(4g+2) (16g^2-8g+4)
Hence, The solution is:
(4g+2)(16^2-8g+4), is the factored form of 64g^3+8.
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Which equation represents a line which is parallel to the line y = - 3x - 1?
A. 3y - x = 12
B. x + 3y = 6
C. 3y + y = -8
D. 3x - y = -2
PLEASE HELP ME ITS REALLY IMPORTANT PEASE SOLVE THE PROBLEM IN THE PHOTO!!
Answer:
Jack, Nate, Oliver
Step-by-step explanation:
[tex]1\frac{1}{4} < |-2\frac{1}{4}| < |3\frac{1}{2}|[/tex]
When f(x) = -2x + 4 and g(x)=3x + 7, find (f + g)(-7).
Answer:
f(x) = -2x + 4
g(x) = 3x + 7
First find (f+g)(x)
(f+g)(x) = -2x + 3x + 4 + 7
= x + 11
(f+g)(-7) = -7 + 11
= 4
Hope this helps.
Nothing to see here i did it wrong..
1. Now consider equations of the form , where a, b, and c are all positive integers and . (a) Create an equation of this form that has 7 as a solution and an extraneous solution. Give the extraneous solution. (b) What must be true about the value of to ensure that there is a real number solution to the equation? Explain.
a) To create an equation
X+X =7
so what's X over here is
7² = x²
X=3.5
b) Real numbers are mixture of irrational and rational numbers so √5 and √6 are irrational where as 5 and 6 are not but they two are equal to each other.
Explaining the equation:
√5 +√6 = √11
5 +6 = 11
√11 =11
√= 11 ÷ 11
√= 1
So if root is 1 then -1 is -√
this is the answer propably
the table shows the heights of 40 students in a class calculate an estimate for the mean height of the students
Answer:
For mean
To show the mean of height measures for 40 students, you need to write-out exactly 40 heights into a calculator and add them up.
Then divide that total number by 40.
Step-by-step explanation:
Eg for 4 students
5 , 5.1, 5.2, 5.7 = 21ft
21/4 = 5.25ft.
Apply the same method but use 40 measures in addition for calulator or long addition. Then divide by 40.
Help me plzzzz plzzz
Answer:
1st Choice
Step-by-step explanation:
The fastest way to do this is by thinking of translations. If you are trying to move it left or right, it will be inside the cube root. If you want to move it vertically, it will be outside the root. In the graph, the child function is moving from the parent function to the right. This means we can eliminate choices C and D. We are left with A and B. A is the right choice because you take the negative of the direction you want to move in. Thus, you have your answer.
Answer:
A
Step-by-step explanation:
g(x)=∛(x-4)
[tex]( - 8x}^{2} - 5x - 6) + ( - x { }^{2} - x + 5)[/tex]
Solve
Answer:zooooooooooooooooooooooooooooooooom
Step-by-step explanation:
Radicals PLEASE HELP will mark brainliest! You are considering installing a pendulum in the amusement park visitor’s center. The time it takes a pendulum to complete a full cycle or swing depends upon the length of the pendulum. The formula is given by T = 2 π √(L/32) where T represents the time in seconds and L represents the length of the pendulum in feet. If the pendulum is 8 feet long, how long will it take for the pendulum to complete a full cycle?
Answer: 31.42 seconds
Step-by-step explanation:
Given that:
Time taken (T) for a pendulum to complete a full swing or cycle is represented by the equation:
T = 2 π √(L/32)
T = time taken to complete a full swing in Seconds
L = Length of the pendulum measured in feet
If length (L) of the pendulum = 8 feet
Time taken (T) =?
Inputting our values :
T = 2 π √(8/32)
T = 2 π √(1/4)
T = 2 π 0.5
T = 10 π
T = 10 × 3.142 = 31.42seconds
The slope of the line below is -3 which of the following is the point-slope form of the line? (2, -2)
Answer:
y+2=-3(x-2)
Step-by-step explanation:
y+2=-3(x-2)
Choose the graph that displays the solution to the system of equations.
x = y - 2
y-8 =
2
Answer:
The first graph is the solution to:
x = y - 2 (blue line)
y-8 = -1/2x (red line)
where the solution is (4,6)
The second graph is the solution to:
x = y - 2 (blue line)
y-8 = -2x (red line)
where the solution is (2,4)
Step-by-step explanation:
The second equation is not clear. From the figures, the possible functions are: y-8 = -1/2x and y-8 = -2x.
To graphically solve a system you have to draw each line on the plane and look at the intersection point.
Answer:
Its the first graph you can graph it on desmos if you need :)
Step-by-step explanation:
The ratio of Tom's studying time on a weekday to his studying
time on a weekend day is 4:5. If he studies 2.4 hours each
weekday, how many hours does Tom study in total every
week?
_hours
Answer:
6 hrs
Step-by-step explanation:
4:5
2.4 : 3.2
2.4+3.2=6 hrs
What is the difference between income elasticity for say automobile and income elasticity for farm product
Answer:
Step-by-step explanation:
plz mark me brainliest
income elasticity measures the responsiveness of income to changes in supply while price elasticity of demand measures the responsiveness of demand to a change in price. ... income elasticity refers to a horizontal shift of the demand curve while price elasticity of demand refers to a movement along the demand curve.
hope it helps
Sue has one spin of the circular spinner shown below.
Two of the lines shown on the diagram are diameters of the circle.
BLUE
RED
GREEN
WHITE
YELLOW
The table below shows the probabilities of Sue obtaining YELLOW, WHITE and
GREEN with one spin of the spinner.
Complete the table.
Colour
YELLOW
WHITE
GREEN
RED
BLUE
Probability
0.2
0.18
0.12
Answer:
Colour | Probability
YELLOW | 0.20
WHITE | 0.18
GREEN | 0.12
RED | 0.18
BLUE | 0.32
Step-by-step explanation:
The complete question is presented on the attached image to this solution.
From the image of the spinner and the given probabilities, the combination of YELLOW, WHITE and GREEN make up exactly half of the total space on the spinner.
0.2 + 0.18 + 0.12 = 0.50
Then, BLUE and RED make up the other half of the spinner.
Probability of landing on either BLUE or RED = 1 - 0.50 = 0.50
Let P(BLUE) = x and P(RED) = y
x + y = 0.50
Two of the lines shown on the diagram are diameters of the circle.
The first line that is a diameter splits the circle into two parts; (WHITE, YELLOW, GREEN) and (RED, BLUE).
From here, we have established that x + y = 0.50
The other line that is a diameter splits The circle into two part; (WHITE, BLUE) and (YELLOW, GREEN, RED)
From this other information,
P(WHITE) + P(BLUE) = 0.50
0.18 + x = 0.50
x = 0.50 - 0.18 = 0.32
P(YELLOW) + P(GREEN) + P(RED) = 0.50
0.20 + 0.12 + y = 0.50
y = 0.50 - 0.32 = 0.18
To check, x + y = 0.32 + 0.18 = 0.50 (Correct!!)
Hope this Helps!!!
I NEED HELP BEFORE 10:00 A.M! (please no lengthy explanations, I will be attaching an image with the question shortly)!
Answer:
From the dentis go 6 miles east to the pool,
Then, go 9 miles north to the school,
Finally, go 13 miles west to the bank.
Which relationships have the same constant of proportionality between y and x as in the equation y=1/2x Choose 3 answers:
This is from Khan academy. I'm stuck on it
Answer:
A and B has the same constant of proportionality
Step-by-step explanation:
[tex]y \propto x[/tex]
[tex]y = kx ----1[/tex]
Where k is the constant of proportionality
We are supposed to find Which relationships have the same constant of proportionality between y and x as in the equation [tex]y=\frac{1}{2}x[/tex]
On comparing with 1
[tex]k = \frac{1}{2}[/tex]
A)6y = 3x
[tex]y = \frac{3}{6}x\\y = \frac{1}{2}x[/tex]
So, this equation has the same constant of proportionality
B)[tex](x_1,y_1)=(2,1)\\(x_2,y_2)=(4,2)[/tex]
To find the equation :
Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So, [tex]y - 1=\frac{2-1}{4-2}(x-2)\\y-1=\frac{1}{2}(x-2)\\y-1=\frac{1}{2}x-1\\y=\frac{1}{2}x[/tex]
So, this equation has the same constant of proportionality
C)
[tex](x_1,y_1)=(1,2)\\(x_2,y_2)=(2,4)[/tex]
To find the equation :
Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So, [tex]y - 2=\frac{4-2}{2-1}(x-1)\\y - 2=2(x-1)\\y - 2=2x-2\\y=2x[/tex]
So, this equation do not has the same constant of proportionality
D)
[tex](x_1,y_1)=(2,1)\\(x_2,y_2)=(3,2.5)[/tex]
To find the equation :
Formula :[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So, [tex]y - 1=\frac{2.5-1}{3-2}(x-2)[/tex]
[tex]y-1=1.5(x-2)\\y-1=1.5x-3\\y=1.5x-2[/tex]
So, this equation do not has the same constant of proportionality
Hence A and B has the same constant of proportionality
Options A and B has the same constant of proportionality.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
For option A,
6y=3x
y=3/6x
y=1/2x
This equation has the same constant of proportionality
For Option B
(2,1) and (4,2)
m=2-1/4-2=1/2
We have equation as y-y₁=m(x-x₁)
y-1=1/2(x-2)
y-1=1/2x-1
y=1/2x
this equation has the same constant of proportionality
For option C
(1,2) and (2,4)
m=4-2/2-1=2
We have equation as y-y₁=m(x-x₁)
y-2=2(x-1)
y-2=2x-2
y=2x
Equation do not has the same constant of proportionality
and option D does not have same constant of proportionality
Hence options A and B has the same constant of proportionality.
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Work it out for me plz
Answer:
180 centimeters cubed.
Step-by-step explanation:
The volume of a cuboid is lwh.
Length × Width × Height
(9)×(5)×(4)
(45)×(4)
=180
Answer:
180 cm^3Solution,
[tex]volume \: of \: cuboid \\ = l \times w \times h \\ = 5 \times 9 \times 4 \\ = 180 {cm}^{3} [/tex]
hope this helps...
Good luck on your assignment...
1/2 expressed as a decimal fraction is?
Answer:
0.50 is a decimal fraction of 1/2.
Step-by-step explanation:
Please mark me as brainliest. I need to rank up.
Help please can’t get this wrong. Am I doing this right if not correct me. And how do I write it
Answer:
I think it’s correct
Step-by-step explanation:
simplify 10+4(−8q−4)
Answer:
10 + 4(-8q - 4)
= 10 + 4 * (-8q) + 4 * (-4) (Distribute 4)
= 10 - 32q - 16 (Expand)
= -32q - 6 (Combine like terms)
Answer:
[tex]-32q-6[/tex]
Step-by-step explanation:
[tex]10+4(-8q-4)[/tex]
[tex]10+4(-8q)+4(-4)[/tex]
[tex]10+-32q+-16[/tex]
[tex]-32q+-16+10[/tex]
[tex]-32q+-6[/tex]
Which one ??????? :(
Answer:
D.
Step-by-step explanation:
Given: BC ⊥ CA , Prove: m∠A+m∠B=90°
Answer:
With points A, B and C a right triangle is formed.
Given that BC ⊥ CA, then m∠C = 90°.
The addition of the angles of a triangle is equal to 180°, therefore:
m∠A + m∠B + m∠C = 180°
Substituting with m∠C = 90°:
m∠A + m∠B + 90° = 180°
m∠A + m∠B = 180° - 90°
m∠A + m∠B = 90°
−5(p+3/5)=−4 solve for p
Step-by-step explanation:
-5(p+3/5)= -4 distribute
-5p -3 = -4 addition
-5p = -1 division
answer = .2
The value of p is 1/5 .
Given,
−5(p+3/5)=−4
Here,
−5(p+3/5)=−4
Simplify the above equation to get the value of p,
Negative sign is eliminated from both sides,
5(p + 3/5) = 4
p + 3/5 = 4/5
Combine like terms,
p = 4/5 - 3/5
p = 1/5
Thus the value of p is 1/5 .
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in a right triangle, what is the 3rd angle measure if an angle is 25
Answer:
65
Step-by-step explanation:
The sum of the angles in a triangle is 180. In a right triangle, there is one 90 degree angle. If the second angle is 25, and 90+25+the last angle must add up to 180, simple math can find the value of the last angle.
180-90-25=65
Answer:
65
Step-by-step explanation:
right angle=90
[tex] {90}^{0} [/tex]
therefore 90-25=the third angle 65
7. The probability of passing an
examination is 0.77. What is the
probability of failing the examination?
A. 0.22
B 0.23 C. 0.33
D. 0.72
E. 0.77
Answer:
Option B
Step-by-step explanation:
Total Probability = 1
Probability of passing = 0.77
Probability of failing = 1-0.77
=> 0.23
X/-4 -(-8)=12
16
80
-80
-16
Answer:
Brainleist!!!!!
Step-by-step explanation:
x/-4 + 8 = 12
x/-4 = 4
x = -16
Answer:
x = -16
Step-by-step explanation:
x/-4 -(-8)=12
Negative times negative is positive.
x/-4 + 8 = 12
Subtract 8 on both sides.
x/-4 = 12 - 8
x/-4 = 4
Multiply -4 on both sides.
x = 4 × -4
x = -16
Solve for x: [tex]22y\3x=8[/tex]
Answer:
x = 4/(11y)
Step-by-step explanation:
22yx = 8
Solve for x so divide each side by 22y
22xy/22y = 8/22y
x = 4/(11y)