Use the number line below, where RS = 5y +3, ST = 3y + 4, and RT = 10y - 3.
a. What is the value of y?
b. Find RS, ST, and RT.
Answers
Answer:
(a). y = 5
(b). RS = 28
ST = 19
RT = 47
Step-by-step explanation:
(a). There are three points R, S and T on a number line.
Therefore, RT = RS + ST -------(1)
Since, RT = 10y - 3
RS = 5y + 3
ST = 3y + 4
By substituting these values in the equation (1)
10y - 3 = (5y + 3) + (3y + 4)
10y - 3 = 8y + 7
10y - 8y = 7 + 3
2y = 10
y = 5
(b). RS = 5y + 3
= 25 + 3
= 28
ST = 3y + 4
= 15 + 4
= 19
RT = 10y - 3
= 50 -3
= 47
Related Questions
(01.01 MC)Which number line shows the solution to 6 + (−6)? A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 12 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 0 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to positive 6 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 12 is shown. PLS HELP ASAP !!!!!! WILL GIVE BRAINLIEST!!!!
Answers
Answer:
the first one
Step-by-step explanation: it worked for me i passed it
PLEASE HURRY, ITS TIMED >>>>...
Answers
Answer: the answer is A
Step-by-step explanation:
0.2(x + 1) + 0.5x = –0.3(x – 4)
Answers
Solve: 3x + 5 - 13x = 25
Answers
Answer: x = -2
Step-by-step explanation:
3x+5 -13x =25 combine like terms on the left side
-10x + 5 = 25 Subtract 5 from both sides
-5 -5
-10x = 20 Divide both sides -10
x = -2
Answer:
[tex]x = -2[/tex]
Step-by-step explanation:
If we have the equation [tex]3x+5-13x=25[/tex], we can isolate x on one side and find it's value.
Let's combine like terms.
[tex]-10x + 5 = 25[/tex]
Subtract 5 from both sides:
[tex]-10x + 5 - 5 = 25 - 5\\\\-10x = 20[/tex]
Divide both sides by -10:
[tex]-10x\div-10 = 20\div-10\\\\x = -2[/tex]
So [tex]x = -2[/tex].
Hope this helped!
please i need help quick
Answers
The difference of a number n and the number 8 is 42. Which of
the following equations represents this statement?
A)n/8 = 42
B) n - 8 = 42
C)n + 8 = 42
D) 8n = 42
E) n = 5
Answers
Answer:
B) n-8=42
Step-by-step explanation:
"difference" means subtraction.
the number is represented by "n" in this problem.
"and" indicates where the symbol goes.
"is" means "=".
The equation that represents the given statement should be n-8 = 42.
Given that
The number n and the number 8 difference should be 42.Based on the above information,
We know that the difference means subtraction.
So, the following equation should be made.
n - 8 = 42
Therefore we can conclude that The equation that represents the given statement should be n-8 = 42.
Learn more about the equation here: brainly.com/question/21105092
I NEED AN ANSWER NOW!!! This is passed due!!! Dhruv is a car salesman. He is paid a salary of $2,200 per month, plus $500 for each car that he sells. His salary can be modeled by the equation f(x) = 500x + 2200, where x is the number of cars sold. Graph this equation and give its domain and range. A. D: {$500, $2700, $4900, $7100,...} R: {0, 1, 2, 3,...} B. D: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...} C. D: {0, 1, 2, 3,...} R: {$500, $2700, $4900, 7100,...} D. D: {$2200, $2700, $3200, $3700,...} R: {0, 1, 2, 3,...}
Answers
Answer:
B. D: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...}Step-by-step explanation:
Given function is
f(x) = 500x + 2200The graph of this function is attached
Domain is input valueRange is output valueCorrect set of domains and ranges of the given function is:
Option BD: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...}There are 10 fifth-grade students attending a class field trip to the city’s art museum. If each admission ticket costs $6, what is the total cost of admission for the 10 students
Answers
Answer:
$60
Step-by-step explanation:
10x6=60. 6+6+6+6+6+6+6+6+6+6= 60
2x2 + 11x + 5
Factor the trinomial
Answers
Answer: 9+11x
Answer:
9+11x
Step-by-step explanation:
Which of the following is Equivalent to
3x - 4y = 6 ? Solve for y.
Answers
Answer:
Y = 3/4X - 3/2
Step-by-step explanation:
3X - 4y =6
3X - 6 =4Y
Y = 3/4X - 3/2
The value of Y for the expression 3x - 4y = 6 will be Y = 3/4X - 3/2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is 3x - 4y = 6. The value for y will be calculated as,
3X - 4y =6
Rearrange the above equation and solve for Y,
3X - 6 =4Y
Y = 3/4X - 3/2
To know more about an expression follow
https://brainly.com/question/28725261
#SPJ2
13. One-fourth of a number is the same as the square of -3
Answers
The quotient of forty-five and a number, r
Answers
The quotient of 45 and r is 45r . A quotient is the result of a division. For example, 84=2 . So, 2 is the quotient.
i need help i will give the brainleness thing to whoever can answer
Answers
Answer:
A=30cm, B=39cm
Step-by-step explanation:
They are an enlargement. Therefore, the sides are larger by the same proportion, otherwise, it wouldn't be an enlargement. Therefore, the bottom side of the big one is 3 times that of the small one. Therefore, the other sides are also 3 times, making A = 30cm and B = 39cm.
Answer:
A
12cm to 36cm is mulitiply by 3, so that means that you mutiply each of the other sides by 3 to get your answer
Solve the equation.
-0.3x = - 1.5
Answers
Because you divide both sides by -0.3 and it should give you the equation x= -1.5 Divided by (-3.0) which equals x=5
2/4+5/4= 6/12+14/12=
Answers
Answer:
7/4=5/3 is the answer
Solve for x
x to the power of 2 = 49
Answers
What is the midpoint between the points (-4, 4) and (7, 7)?
Answers
Help with these 3 I will give u a thanks
Answers
Answer:
3.6/5, 4. 9, 5. 11/2
Step-by-step explanation:
3. 2/5/6
= 2× 6/5
= 12/5
4. 7/9/7
= 7× 7/9
= 9
5. 8/11/4
= 8×4/11
= 11/2
hope you understand this answer
sorry if the answer is wrong
Please help!! Which of the following expressions is equivalent to (-7)^5? A)-7x-7x-7x-7x-7 B)-7x5 C)(-7)x7x(-7)x7x-7 D)5x5x5x5x5x5x5
Answers
(-7)^5 means that we are multiplying -7 to it self 5 times.
The only option that shows this is option A.
Best of Luck!
Answer:
7x7x7x7x7= 16807 A is correct.
Step-by-step explanation:7(77777) this means 7 is multiplying itself 5 times
Goodluck:)
I need help with my math to day.♀️
Answers
Answer:
8x + 1 + 6x + 5 = 90
14x + 6 = 90
14x = 84
x = 6
<DCB is 6x+5
6(6) + 5
36 + 5
41
Answer:
∠ DBC = 41°
Step-by-step explanation:
∠ DBC + ∠ DBA = 90° , substitute values
6x + 5 + 8x + 1 = 90, that is
14x + 6 = 90 ( subtract 6 from both sides )
14x = 84 ( divide both sides by 14 )
x = 6
Thus
∠ DBC = 6x + 5 = 6(6) + 5 = 36 + 5 = 41°
-. Six square-based pyramids fit exactly onto the six faces of a
cube of side 4 cm. If the volume of the object formed is
256 cm', find the height of each of the pyramids.
Answers
Answer:
60
Step-by-step explanation:
Hard question please help. I had to repost because last time I wanted to give more points but I forgot to.
If [tex]\frac{\sin^2 3A}{\sin^2 A} - \frac{\cos^2 3A}{\cos^2 A} = 2[/tex] find what [tex]\cos2A[/tex] is.
Best Answer gets the reaming 15!
Have Fun!
Answers
Use the angle sum identities to expand [tex]\sin(3A)[/tex] and [tex]\cos(3A)[/tex]:
[tex]\sin(3A)=\sin(A+2A)=\sin A\cos(2A)+\cos A\sin(2A)[/tex]
[tex]\cos(3A)=\cos(A+2A)=\cos A\cos(2A)-\sin A\sin(2A)[/tex]
Use the double angle identity to expand [tex]\sin(2A)[/tex]:
[tex]\sin(2A)=2\sin A\cos A[/tex]
So we have
[tex]\sin(3A)=\sin A\cos(2A)+2\cos^2A\sin A[/tex]
[tex]\cos(3A)=\cos A\cos(2A)-2\sin^2A\cos A[/tex]
Then divide the first expression by [tex]\sin A[/tex] and the second by [tex]\cos A[/tex]:
[tex]\dfrac{\sin(3A)}{\sin A}=\cos(2A)+2\cos^2A[/tex]
[tex]\dfrac{\cos(3A)}{\cos A}=\cos(2A)-2\sin^2A[/tex]
Squaring these gives
[tex]\dfrac{\sin^2(3A)}{\sin^2A}=(\cos(2A)+2\cos^2A)^2=\cos^2(2A)+4\cos(2A)\cos^2A+4\cos^4A[/tex]
[tex]\dfrac{\cos^2(3A)}{\cos^2A}=(\cos(2A)-2\sin^2A)^2=\cos^2(2A)-4\cos(2A)\sin^2A+4\sin^4A[/tex]
Subtract the second expression from the first to get the original equation. The [tex]\cos^2(2A)[/tex] terms cancel, leaving us with
[tex]4\cos(2A)\cos^2A+4\cos^4A+4\cos(2A)\sin^2A-4\sin^4A=2[/tex]
Now, notice that
[tex]4\cos(2A)\cos^2A+4\cos(2A)\sin^2A=4\cos(2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]
and
[tex]4\cos^4A-4\sin^4A=4(\cos^2A-\sin^2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]
because [tex]\cos^2A+\sin^2A=1[/tex] and [tex]\cos^2A-\sin^2A=\cos(2A)[/tex].
So we're left with
[tex]4\cos(2A)+4\cos(2A)=8\cos(2A)=2\implies\boxed{\cos(2A)=\dfrac14}[/tex]
please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)______.
Answers
Answer for the blank is: 10
The exponents are -2, 3 and 9. Note how the bases are all the same at 4x. When we multiply exponential expressions like this, we add the exponents. So we'll get -2+3+9 = 1+9 = 10 as the final exponent over the base 4x
In short,
[tex](4x)^{-2}*(4x)^3*(4x)^9 =(4x)^{-2+3+9} = (4x)^{10}[/tex]
please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)=10
Please assist me with this
Answers
Answer:
The answer is option AStep-by-step explanation:
To find the value of x when y = 24, we must first find the relationship between them
[tex]y \: \: \alpha \: \: \frac{k}{ \sqrt{x} } [/tex]where k is the constant of proportionality
when
x = 16
y = 2
Substitute the values into the above formula and solve for k
That's
[tex]2 = \frac{k}{ \sqrt{16} } \\ 2 = \frac{k}{4} [/tex]Cross multiply we have the answer as
k = 8
So the formula for the variation is
[tex]y = \frac{8}{ \sqrt{x} } [/tex]Now when y = 24
We have
[tex]24 = \frac{8}{ \sqrt{x} } \\ 24 \sqrt{x} = 8 \\ \sqrt{x} = \frac{8}{24} \\ \sqrt{x} = \frac{1}{3} [/tex]Square both sides
[tex]( { \sqrt{x} })^{2} = ( { \frac{1}{3} })^{2} [/tex]We have the final answer as
[tex]x = \frac{1}{9} [/tex]Hope this helps you
Solve: (5x - 3y + 2z)²
Answers
Answer:
25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex] - 12yz + 4[tex]z^{2}[/tex]
Step-by-step explanation:
We multiply it out.
(5x - 3y + 2z) * (5x - 3y + 2z)
5x*5x + 5x*-3y + 5x*2z - 3y*5x - 3y*-3y -3y*2z + 2z*5x +2z * -3y +2z *2z
25[tex]x^{2}[/tex] - 15xy + 10xz - 15xy + 9[tex]y^{2}[/tex] - 6yz + 10xz - 6yz + 4[tex]z^{2}[/tex]
Add like terms
25[tex]x^{2}[/tex] - 15xy - 15xy + 10xz + 10xz + 9[tex]y^{2}[/tex] - 6yz - 6yz + 4[tex]z^{2}[/tex]
25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex] - 12yz + 4[tex]z^{2}[/tex]
The Palue of the digit in the hundredths place is
times as great as the digit in the tenths place.
Work it out
hop
Answers
Answer:The value of the digit in the hundredths place is 10 times as great as the value of the digit in the tenths place.
Explained: The model shows that your number is 0.11
We have to find what we can multiply to become the 1 in the tenths place. Since they are the same number but in different places, we just multiply it by 10 to change the value.
So, if you multiply 10 by the 1 in the hundredths place, it will get you to the 1 in the tenths place.
♡Hope it helps♡
The area of a square is 8 square meters. Which of these
closest to the length of one side of the square?
F 2 meters
G 2.8 meters
4 meters
H 3.5 meters
Answers
Answer:
G.
Step-by-step explanation:
Length = Square root of Square area
= √8 (-√8 is rejected as length is positive)
We know that √4 < √8 < √9 because 4 < 8 < 9.
=> 2 < √8 < 3.
The only answer that is in this range is G.
-1/2 (7z+4)+1/5(5z-15). Solve equation.
Answers
Answer:
-2.5(z+2)
Step-by-step explanation:
m = 4 and x-intercept of -2 in slope- intercept form.
Answers
Answer:
y = 4x + 8
Step-by-step explanation:
Slope-intercept form:
y = mx + bm = 4
y = 4x + bx-intercept = -2, it means x = -2, y = 0
(-2, 0)Using this point we get the value of b
0 = 4*(-2) + b ⇒ b = 8The form now is:
y = 4x + 8combine like terms: 3x^2+4y-2x^2-x^2
Answers
Answer: 4y
Step-by-step explanation:
[tex]3x^{2} + 4y - 2x^{2} -1x^{2}[/tex] To
3x^2 - 2x^2 -1x^2 = 0
0 +4y = 4y