Answer:
options (a), (b), (c), and (e) have the same solution as the solution of 3/5 x + 2/3 + x = 1/2 -1/5x.
Step-by-step explanation:
The given equation is
3/5 x + 2/3 + x = 1/2 -1/5x
First, rearrange the equation to have constant terms and the terms having variable on the separate side.
3/5 x + x +1/5x= 1/2 - 2/3
9/5 x = -1/6
x= -1/6 ÷ 9/5
x= -1/6 x 5/9
x= -5/54 ...(i)
Now, find the solution of all the options in the similar way:
(a) 8/5 x +2/3 = 1/2 -1/5 x
8/5 x + 1/5 x = 1/2 - 2/3
9/5 x = -1/6
x= -1/6 ÷ 9/5
x= -1/6 x 5/9
x= -5/54 which is same as the solution of the mentioned equation. [ from equation (i)]
(b) 18x + 20 + 30x = 15 – 6x
18x+30x+6x = 15 -20
54x=-5
x= -5/54 which is same as the solution of the mentioned equation. [from equation (i)]
(c) 18x + 20 + x = 15 – 6x
18x+x+6x = 15 -20
25x=-5
x= -5/25 which is not the same as the solution of the mentioned equation. [ from equation (i)]
(d) 24x + 30x = –5
54x = -5
54x=-5
x= -5/54 which is same as the solution of the mentioned equation. [ from equation (i)]
(e) 12x + 30x = –5
42x = -5
42x=-5
x= -5/42 which not is same as the solution of the mentioned equation. [ from equation (i)].
Hence, options (a), (b), (c), and (e) have the same solution as the solutions of the given equation.
Find the value of d so the line that passes through (a,b) and (c,d) has a slope of 12.
Answer:
d = 12c-12a+b
Step-by-step explanation:
The formula for calculating the slope of a line passing through two points (x1, y1) and (x2, y2)is expressed as:
m = y2-y1/x2-x1
Given the coordinates (a,b) and (c,d) and slope m = 12
Substitute into the formula as shown:
m = d-b/c-a
12 = d-b/c-a
Make d the subject of the formula:
12 = d-b/c-a
cross multiply
12(c-a) = d-b
12c-12a = d-b
add b to both sides
12c-12a + b = d-b+b
12c-12a + b = d
Hence d = 12c-12a+b
Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP shown below. Triangle M N P. Side P N is 26.7 centimeters, side M N is 18.3 centimeters, and side P M is 14.2 centimeters. Angle P is 40 degrees, angle N is 30 degrees, and angle M is 110 degrees. Deepak found that Angle G has a measure of 50° and Segment F H is 18.3 centimeters long. Does he need to continue measuring sides and angles of triangle FGH and why? No, he knows that the triangles are congruent because there are corresponding sides and angles that are congruent. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP. Yes, he must verify that the other two side lengths and the other two angle measures are the same as those found in triangle MNP. Yes, he must only verify that the other two angle measures are the same as those found in triangle MNP.
Answer:
B. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.
Step-by-step explanation:
I took the test.
The correct option is B. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We are given that Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP,
In Triangle M N P.
Side P N = 26.7 centimeters,
M N is 18.3 centimeters,
P M is 14.2 centimeters.
Angle P is 40 degrees, angle N is 30 degrees, and angle M is 110 degrees.
He found that Angle G has a measure of 50° and Segment F H is 18.3 centimeters long.
Based on the definition, two triangles are congruent if the three sides are equal and the three angles are equal.
Hence, he need to know the other lengths of the sides of the triangle and the others angles to know if they are congruent or not.
Learn more about congruent triangles;
https://brainly.com/question/12413243
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Write the equation in slope-intercept form. What are the slope and y-intercept?
-2x-11y=5
a. y=2/11x+5/11;slope: 5/11;y-intercept: 2/11
b. y= 2/11x+5/11;slope: 2/11; y-intercept: 5/11
c. y= 2/11x-5/11;slope: 2/11; y-intercept: -5/11
d. y= 2/11x-5/11;slope: -2/11; y-intercept: -5/11
Answer:
The Answer is D
Step-by-step explanation:
I hope This helps
A system is described by the equations
2x + 3y = 10
4x + By = 20
For what value of B will the system have infinitely many solutions?
208=k(k+3) find the value of k
His supplies cost him $3.25 for a pitcher of lemonade. To make a profit, Ryan will apply a 68% markup. Which is the amount of markup Ryan will add?
helpp
Answer: 212.50%
Step-by-step explanation:
can someone answer this and maybe explain it?
Answer:
yea what he said..........
PLZPLZPZLZPZLZPZLZPZPPPZZLZP HELP ME WILL NAME BRINLY
Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment.
If HJ=x+10
JK=9x
KH=14x−58
a) Draw a sketch of the segments described above
b) Write an equaation using the segment addition postulate that will help you solve the problem
____+_____=____
c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) _____=______
d)
x= __
HJ=__
JK=__
HK=__
Answer:
x= 17
HJ= 27
JK= 153
HK= 180
Step-by-step explanation:
If HJ=x+10
JK=9x
KH=14x−58
a) Draw a sketch of the segments described above
Find attached to this answer the diagram of the sketch of the segments described above
b) Write an equation using the segment addition postulate that will help you solve the problem
HJ + JK = KH
x + 10 + 9x = 14x - 58
c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) x + 10 x + 10 + 9x = 14x - 58
10 + 58 = 14x - x -9x
68 = 14x - 10x
68 = 4x
x = 68/4
x = 17
d)
x= 17
HJ= x + 10
= 17 + 10
= 27
JK= 9x
= 9 × 17
= 153
HK=14x −58
HK = 14 × 17 - 58
= 238 - 58
= 180
Solve for x.
Please help quickly
Find the missing endpoint if one endpoint is at (5.-7) and the midpoint is at (15.1).
Answer:
(25, 9)Step-by-step explanation:
Given Point (5, -7) and midpoint (15, 1)To findMissing endpointSolutionMidpoint formula:
x = (x1 + x2)/2, y = (y1 + y2)/2Substituting values:
15 = (5 + x2)/2 ⇒ 5 + x2 = 30 ⇒ x2 = 30 -5 ⇒ x2 = 251 = (-7 + y2)/2 ⇒ -7 + y2 = 2 ⇒ y2 = 2 - (-7) ⇒ y2 = 9Missing endpoint is:
(25, 9)How much force is needed to push a car with 1,300 kg of mass at an acceleration of 1.5 m/s2?
C)16,562 N
A)8,493 N
B)1,950 N
Answer:
I think its C
hope this helps you
What is 330000 in standard to scientific notation?
Answer:
3.3*10^5
Step-by-step explanation:
Answer:
3.3 * 105
Step-by-step explanation:
Write the number between 1 and 9 and place decimal accordingly. So, the answer is 3.3 multiplied by 10 raised to power 5.
Alisa bought 3 shirts for $29 each and then spent $15 on lunch. She has $31 left. How much money did she have before?
Answer:
$133
Step-by-step explanation:
Solve the system of equations.
y = 6x + 13
y = 2x + 1
Answer:
x=-3. y=-5
Step-by-step explanation:
Equating both equations,
6x + 13 = 2x + 1
6x - 2x = 1 - 13
4x = -12
x = -3
Plug in the value of x in the given first equation,
y = 6* (-3) + 13 = -18 + 13 = -5
Answer:
{y,x} = {-5,-3}
Step-by-step explanation:
System of Linear Equations entered
y - 6x = 13
y - 2x = 1
Graphic Representation of the Equations
-6x + y = 13 -2x + y = 1 (attached)
Solve by Substitution
y = 2x + 1
(2x+1) - 6x = 13
- 4x = 12
4x = - 12
x = - 3
y = 2x+1
x = -3
y = 2(-3)+1 = -5 (final answer)
hope it helps you!
POSSIBLE POINTS: 0.86 Marcus is trying to decide between a cable subscription and a satellite dish. The cable subscription has a $40 setup fee and costs an additional $38 per month. Marcus has $500 budgeted for cable. How many months (m) can he pay for the cable subscription? WRITE AN EQUATION THAT CAN BE USED TO FIND THE NUMBER OF MONTHS HE CAN PAY FOR THE CABLE SUBSCRIPTION
Answer:
0.156
Step-by-step explanation:
step1. add 40 + 38 = 78
step2. divide 78 by 500 to get 0.156
hope im right
y + 7 = 4(x + 2)
Write in standard form.
okay, so I know someone else asked for help on this and it said it was 280, but it was not correct on mine for some reason. So, someone please help.
Eric traveled to three cities on a single highway. The distance from his original location to the first city was 100 miles more than the distance from the first city to the second city. The distance from the second city to the third city was 10 miles less than the distance from the first city to the second city. If the distance from his original location to the first city and the distance from the second city to the third city were the same, what was the total distance Eric traveled?
Possible Answers: I searched too as I’m not very smart but I found one that happened to be multiple choice and this were the options. A. 120 miles
B. 200 miles C. 280 miles D. 360 miles E.400 miles
Step-by-step explanation: Personally I believe it should be 400.
PLS HELP ILL GIVE U POINTS :)
Explain how you know the following system of equations has at most 2 solutions.
Solve the system algebraically. Show your work.
Solve the system by graphing.
y= 2x-1
y= x^2-9
Answer:
Step-by-step explanation:
Answer:
The said explanation is the answer.
Step-by-step explanation:
1) Graphing the first function (y = 2x-1). When the exponents of the variables are all 1, that is there are no square, cubes, etc. the equation is a line. Then it is enough to find two points to draw it. We can calculate two points assigning a number to x and calculating the corresponding number for y. For example, when x= 0 y= 2 times 0 -1 = -1. Then the line will pass from the point (0,-1). We need a second point, we can take x=1, then y = 2 times 1 -1 = 1. The line will pass from (1,1). We can mark the two points on the plane and draw the line from these two points.
2) Graphing the second function (y = x^2-9). A quadratic equation is of the form: ax^2+bx+c= 0. We have: y= f(x) -9. Set y=0. We have the quadratic equation: x^2-9=0. Using the algebraic identity: a^2-b^2=(a+b)(a-b). We can rewrite x^2-9=0 as x^2-3^2=0: [(x+3)(x-3)=0] - [(x+3)=0,(x-3)=0] - [x= -3, x= 3]. Hence, there are two solutions for x. So we have two x-intercepts: (-3,0) and (3,0). To find the y-intercept, set x=0: [(y = (0)^2-9=0)] - [(y=-9)]. Hence the y-intercept: (0,-9)
In conclusion, this system of equations at most has two real solutions, since two points of both functions intersect each other.
Here's the graph:
An irregularly shaped stone was lowered into a graduated cylinder holding a volume of water equal to 2 ml. The height of the water rose to 7 ml. If the mass of the stone was 25 g, what was its density?
Answer:
Step-by-step explanationNote:
1
ml
=
1
cc
If the water rose
7
ml
−
2
ml
=
5
ml
then the stone had a volume of
5
ml
or
5
cc
With a mass of
25
g
it must have a density of
XXX
25
g
5
cc
=
5
g/cc
There are 32 students in the school drill team performance. Each row of team members must have the same number of students. If there are at least 8 students in each row, what are all the possible arrangements?
Answer:
4 rows with 8 students in each
Step-by-step explanation:
4x8=32
Write an expression to represent the water temperature after the submarine’s final dive. Then simplify the expression to find the temperature.
Answer:
63.25°F − 2.2°F = 61.05°F
Step-by-step explanation:
Answer:
61 1/20 °F
Step-by-step explanation:
63 1/4 °F -2 1/5 °F =61 1/20 °F
-2x - y = -13
2x + 2y = 8
Answer:
the first one is (6.5,13)
the second one is (4,4)
Step-by-step explanation:
-2x-0=-13
-2x=-13 divide -2 by -13
x=6.5
-2(0)-1y=-13
0-1y=-13
-1y=-13
13
so that gives you (6.5,13)
2x+2(0)=8
2x+0=8
2x=8 divide two by eight
x=4
2(0)+2y=8
0+2y=8
2y=8 divide two by eight
y=8
Can someone help me please?
Answer:
Instead of shane just taking all the exponents and counting them one by one, she could have added all the exponents because that's what you're supposed to do when multiplying exponents.
please help me on this
A figure is located entirely in the third quadrant. If it is reflected over the y-axis, what will the signs of the coordinates be?
Answer:
Step-by-step explanation:
Hello friend!!!
The signs of the coordinates will be ( - , - )
This is because it is located in the third quadrant and the coordinates of any point on the third quadrant are ( - , - )
Hope this helps
plz mark as brainliest!!!!!!!
The signs of the coordinates should be ( - , - )
Signing of the coordinates:Since we know that there are 4 quadrants. In 1st quadrant, the sign is (+,+). In the 2nd quadrant, the sign is (-,+). The 3rd quadrant, the sign is (-,-), And, the fourth quadrant, the sign is (+,-),
So based on this, the above sign should be considered.
learn more about coordinates here: https://brainly.com/question/13596846
What is the SUM of 592.3067 and 321.988?
Answer:
914.2947
Step-by-step explanation:
Write the equation of the line fully simplified slope intercept form.
Answer:
Y=5/2x -4
Step-by-step explanation:
if m<2=44, what is m<1?
Answer:
Step-by-step explanations:
What is the solution to the equation? -16x=80
Answer:
x = -20
Step-by-step explanation:
just divide -4 into both sides
Write each equation in standard form. Identify A,B,and C. 2x=4y-1
Answer: 2x - 4y = -1
Step 1: Move the variable.
2x - 4y = 4y - 1 - 4y
Step 2: Remove the opposites.
2x - 4y = -1
Answer = 2x - 4y = -1
Hope this helps!
Answer:
2x - 4y = -1
Step-by-step explanation:
Ax + By + C
A = 2
B = -4
C = -1