Given:
S is between R and T. RS = 2x + 7, RT = 4x , and ST = 28.
To find:
The length of segment RT.
Solution:
It is given that S is between R and T. So, by segment addition property, we get
[tex]RS+ST=RT[/tex]
On substituting the values, we get
[tex](2x+7)+(28)=4x[/tex]
[tex]2x+35=4x[/tex]
Subtract 2x from both sides.
[tex]35=4x-2x[/tex]
[tex]35=2x[/tex]
Divide both sides by 2.
[tex]\dfrac{35}{2}=x[/tex]
[tex]x=17.5[/tex]
Now,
[tex]RT=4x[/tex]
[tex]RT=4(17.5)[/tex]
[tex]RT=70[/tex]
Therefore, the length of segment RT is 70 units.
True or false variable is a letter used in place of a number
Which function has a constant additive rate of change of -1/4?
Answer:
The first graph (in other words A)
Step-by-step explanation:
bc it is going down 1/4 at a constant rate!!!
Hope This Helps!!!
<3
Given the triangle below:
4
20
Which is the length of the missing side?
A.24
B. square root 384
C. square root 416
D. 416
For this question we can use the pythagorean theorem: 20^2 + 4^2 = c^2
c^2 = 416
c = [tex]\sqrt{416}[/tex]
Complete the division problem by determining the number that should be placed in the box. Division bracket with 12 on the left, 5496 inside, and 458 above it. Underneath the 5496, there is a minus 4800. Then there is a solid line with 696 under the line. There is a minus sign, and an empty box followed by a solid line. Beneath the line, there is a 96 minus 96 underneath. There is a solid line and a 0 to end the problem. (4 points)
Answer:
600
Step-by-step explanation:
Just below the solid line, there is the remainder and just above the solid line, there is a multiple of 12.
The number with a negative sign is being subtracted to the above number.
The first subtraction is mentioned as
5496-4800=696, observe that 696 is just below the solid line.
Now, proceeding further in the same way, the number below the second solid line is 96 which is obtained when the number in the box is being subtracted to the above number 696.
Let the number in the box is [tex]x[/tex]. So,
[tex]696-x=96[/tex]
[tex]\Rightarrow x=696-96=600[/tex]
Hence, the required number in the box is 600.
Answer:
600
Step-by-step explanation:
31 Points to answer this question, Thanks! Make sure to explain why and how you got it!
(-1,-2) would result in a relation that is no longer a function.
In the table, there's already x = -1 and y = -4. Function only gives a single y-value with x-value. If a single x-value gives two y-values then it'd not be Function.
If we add (-1,-2) in the table. The domain will be repetitive. Basically, we already have (-1,-4) and if we add (-1,-2) in the table, a single x-value will give TWO y-values which is not a function.
right answer only please
Answer:
y3+2y2+49y+98
Step-by-step explanation:
Answer:
Your correct answer is = (y + 2)(y^2 + 49)
Step-by-step explanation:
y3 + 2y^2 + 49y + 98
= (y + 2)(y^2 + 49)
Solve the equation.
6n = 42
n =
Answer:
7
Step-by-step explanation:
Answer:
Divide both sides by 6.
6n/6=n, 42/6=7.
n=7
marvin the math magician has a problem for you. he wants to buy some magic wands and some magic hats. the wands cost $8 each and $5 for each hat. how much will marvin haft to pay for 12 wands and 7 hats?
Answer:
8x + 5y
12(8) + 7(5) =
96 + 35 =
131
$131
Expand and simplify
1) 3 ( 2x + 1 ) + 5x
2) ( x + 3 ) ( x + 4 )
3) ( x + y ) ^2
4) ( 2x + 1 ) ( x - 3 )
→To simple the given equations
( 2x + 1 ) + 5x( x + 3 ) ( x + 4 )( x + y ) ²( 2x + 1 ) ( x - 3 )Answer:Part 1:[tex]\green{step \: 1}[/tex]
→[tex] 3 ( 2x + 1 ) + 5x[/tex]
[tex]\green{step \: 2}[/tex]
→[tex]6x + 3 + 5x[/tex]
[tex]\green{step \: 3}[/tex]
→[tex]\blue{11x + 3✓}[/tex]
part 2:[tex]\green{step \: 1}[/tex]
→[tex]( x + 3 ) ( x + 4 )[/tex]
[tex]\green{step \: 2}[/tex]
→[tex] {x}^{2} + 4x + 3x + 12[/tex]
[tex]\green{step \: 3}[/tex]
→[tex]\blue{ {x}^{2} + 7x + 12✓}[/tex]
part 3:[tex]\green{step \: 1}[/tex]
→[tex]( x + y ) ^2[/tex]
[tex]\green{step \: 2}[/tex]
→[tex] \blue{{x}^{2} + {y}^{2} + 2xy✓}[/tex]
part 4:[tex]\green{step \: 1}[/tex]
→[tex] ( 2x + 1 ) ( x - 3 )[/tex]
[tex]\green{step \: 2}[/tex]
→[tex]2 {x}^{2} - 6x + x - 3[/tex]
[tex]\green{step \: 3}[/tex]
→[tex]\blue{2 {x}^{2} - 5x - 3✓}[/tex]
★What do you mean by simplifying an equation:
Simplifying an evaluation means to solve any difficult or easy equation in as simple form as possible .★Steps we can do to simplify the equation:
Open brackets/parentheses to make the equation more simplified.Add /subtract numbers or numbers with same variable/constant.thankyou ❤️
Brainly for correct answer!!
The diagram shows two parallel lines cut by a transversal. One angle measure is shown.
Find the values of A B C D E F and G
Answer:
a= 126
b= 54
c= 126
d= 54
e= 126
f= 54
g= 126
Step-by-step explanation:
To find a you would subtract 54 from 180 which would give you 126
Since a and b are another linear pair they would also add up to 180.
Then you move to c which is a linear pair with 54 so it is 126.
Because a and g are alternate interior angles they are congruent and they you continue with the same process for the first and check by seeing if the angles would be obtuse or acute to see if the angle measures would be correct.
The measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
It is given that:
The diagram shows two parallel lines cut by a transversal.
As we know from the definition of the vertically opposite angles:
b = 54 degrees
a + c = 54 + b (a = c)
2a = 54x2
a = 54 degrees
Since a and g are opposite interior angles, they are congruent, so you proceed with the process as you did for the first and check to see if the angles are acute or obtuse to ensure that the angle measurements are accurate.
Similarly:
b = 54
c = 126
d = 54
e = 126
f = 54
g = 126
Thus, the measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.
Learn more about the vertically opposite angles here:
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Solve the linear equation for x
-4.8(6.3x-4.18) =-58.56
X=
Answer:
x= 2.6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
2.6
Step-by-step explanation:
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in ½ hour.
Answer:
6.75
Step-by-step explanation:
27/4=6.75
Answer:
6.75 miles in 1/2 hour
Step-by-step explanation:
2 Hours = 4 x 1/2
27 : 4 = 6.75 miles per 1/2 hours
I’m Daniel I’m 13 and in 8th grade
Answer:
im Nevaeh but everyone calls me vaeh and im 14 in 9th grade
Find the sum of the first
20 odd numbers.
Answer:
Hi there.....
Step-by-step explanation:
This is ur answer......
1, 3, 5, 7, 9, 11, 13, 15.................39
Therefore the total sum = 400
hope it helps you,
mark me as the brainliest....
Follow me......
Answer:
400
Step-by-step explanation:
These are the first 20 odd numbers
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39
Put them in a calculator and you get: 400
10.5 divided by 1.25
Answer:
8.4
Step-by-step explanation:
Answer:
8.4 is the answer :)
Step-by-step explanation:
Which variable is represented by range in a linear function?
A. x-variable
B. y-variable
C. None of the above
D. All of the above
Which variable is represented by range in a linear function?
A. x-variable
Rudy took a test and earned a 92%. If Rudy answered 46 questions correctly, how many questions were on the test? How many questions did he answer incorrectly?
Answer:
4
Step-by-step explanation:
Hope this helps!
:DDDDD
Answer:
4
Step-by-step explanation:
:)
-3 1/4 - 3/4
Please help thanks
Answer: -4
Step-by-step explanation:
Answer:
the answer is -4. Hope this helped,have a great day!
Step-by-step explanation:
If 5 of mathjuce contain 120grams of sugar how many grames of suger are in a case of 24 cans of mathjuce
Answer: 576 grams of sugar
Explanation: To solve this, you must do this following. First, you'd need to divide the 5 cans of MathJuice by their grams of sugar content. By doing this, you will find out how many grams of sugar are in each can. So, you'd divide 120 by 5 and get 24. This means that there are 24 grams of sugar in each can. Now, you'd need to multiple that by the number of cans in a case of MathJuice. You need to multiply 24 by 24. Doing this will get you a product of 576. Therefore, there are 576 grams of sugar in a case of MathJuice.
I hope this helped!
Good luck <3
what is the slope for the points (5,3) and (5,-9)?
m = (y2-y1)/(x1-x2)
m = (-9-3)/(5-5)
m = (-12)/0
Slope doesn't exist
Points A,B and C are collinear and point B lies between A and C. If AB=15 and BC=21, what is AC?
Answer:16
Step-by-step explanation:
Given the points: J(-10, -7), K(-4,1), L(-3, 2), M(-6, -2), what is the relationship between
JK and LM?
Perpendicular
Neither
No answer text provided.
Parallel
Answer:
Parallel
Step-by-step explanation:
once graphed the lines never meet
A math classroom has 30 students. The teacher assigned the students a project and told them they could turn it in on Monday, Tuesday, or Wednesday. 12 of the students turned the project in on Monday. 13 of the students turned the project in on Tuesday. The rest of the students turned the project in on Wednesday. How many students turned their project in on Wednesday?
Answer:
5 students.
30 - 12 - 13 = 5.
Answer:
The answer is 5
Step-by-step explanation:
We need to find out how many students turned in the project on Wednesday. In order to do this, this is what we need to do.
1. First we need to subtract 12 from 30 since 12 is how many students turned in the project on Monday.
2. 30 - 12 = 18
So now we have 18.
3. Next we need to subtract 13 from 18 since we know that 13 is how many students turned in the project on Tuesday.
4. 18 - 13 = 5
At the end we end up with 5.
So 5 students turned in the project on Wednesday.
7) Solve for the given variable: 3r + 6 = 2r + 9
Answer:
r = 3
Step-by-step explanation:
subtract six from both sides
3r = 2r + 3
subtract 2r from both sides
r=3
How long would it take for a car to travel 200 km if it has an average speed of 55 km/hr?
Answer:
11,000 km/hr
Step-by-step explanation:
Distance= speed x time
time= 55 km/hr
speed= 200 kn
=200 km x 55 km/hr
= 11,000 km/hr
At an average speed of 55 km/hr the car will cover a distance of 200 km
in 3.6 hours.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know, distance = speed×time or d = st.
Given, A car to travel 200 km if it has an average speed of 55 km/hr.
Therefore, From d = st we have,
200 = 55t.
t = 200/55.
t = 3.6 hours.
What is the relative speed between two moving objects?The relative speed is the net speed of two different objects with respect to each other.
If two objects move in the same direction we take the difference between their speeds.
If two objects move in the opposite direction we take the sum of their speeds.
learn more about the unitary method here :
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Iliana and Rod were asked to find the difference of (5.1 times 10 Superscript negative 15 Baseline) minus (2.3 times 10 Superscript negative 14 Baseline). As a first step, Iliana rewrote the problem as (0.51 times 10 Superscript negative 14 Baseline) minus (2.3 times 10 Superscript negative 14), and Rod rewrote the problem as (5.1 times 10 Superscript negative 15 Baseline) minus (0.23 times 10 Superscript negative 15 Baseline). Which person wrote a correct possible first step? Why?
Given:
The expression is
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14})[/tex]
First steps of Iliana and Rod are given.
To find:
Which person wrote a correct possible first step.
Solution:
We have,
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14})[/tex]
If we want -15 in the power of 10, then
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14-1+1})[/tex]
[tex](5.1\times 10^{-15})-(2.3\times 10^{-15}\times 10)[/tex]
[tex](5.1\times 10^{-15})-(23\times 10^{-15})[/tex]
Therefore, first step of Rod is incorrect.
If we want -15 in the power of 10, then
[tex](5.1\times 10^{-15+1-1})-(2.3\times 10^{-14})[/tex]
[tex](5.1\times 10^{-14}\times 10^{-1})-(2.3\times 10^{-14})[/tex]
[tex](\dfrac{5.1}{10}\times 10^{-14})-(2.3\times 10^{-14})[/tex]
[tex](0.51\times 10^{-14})-(2.3\times 10^{-14})[/tex]
Therefore, first step of Iliana is correct.
Answer:
B "Only Iliana is correct because Rod incorrectly equated 2.3 times 10 Superscript negative 14 and 0.23 times 10 Superscript negative 15."
explanation:
Can anyone help me plz plz
Answer: 6/4 or 3/2
Step-by-step explanation:
You plan to take a 7-day trip to California. You estimate that it will cost $275 per day to visit Los Angeles, and $400 per day to visit San Francisco. Your total budget for the 7 days is $2,300. How many days could you spend in each location, so that you spend your entire budget?
Answer:
You can spend 4 days in Los Angeles and 3 days in San Francisco.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=7 (1)
275x+400y=2,300 (2), where:
x is the number of days to visit Los Angeles
y is the number of days to visit San Francisco
First, you can solve for x in (1):
x=7-y (3)
Now, you can replace (3) in (2):
275(7-y)+400y=2,300
1,925-275y+400y=2,300
125y=2,300-1,925
125y=375
y=375/125
y=3
Finally, you can replace the value of y in (3) to find x:
x=7-3
y=4
According to this, the answer is that you can spend 4 days in Los Angeles and 3 days in San Francisco.
The ratio of men to women at a business office is 6:13. There are 95 people working at the company. 9. 10. How many more women are there then men?
the ratio is 6:13 meaning 6 is for men and 13 is for women so add 6 and 13 to get 19 . since the total number of people was 95 it will be represented by the total ratio 19 then to get the number of men it will be 6 times 95 then divide by 19 for women 13 times 95 then divide by 19 after that subtract men from women
Please Solve x2 = 121
Answer:
x = 60.5
Step-by-step explanation:
ok this simple you already have the variable and the number on different sides
x2 = 121
divide each side by 2
x2 / 2 = x
121 / 2 = 60.5
x = 60.5
Answer:
60.5
Step-by-step explanation:
Divide 121 by 2, or just add 600.5 or multiply it by 2 and you get 121