Answers
Answer:
[tex] MP = 29 [/tex]
Step-by-step explanation:
Given:
[tex] MN = 17 [/tex]
[tex] NP = 3y [/tex]
[tex] MP = 5y + 9 [/tex]
[tex] MN + NP = MP [/tex] (segment addition postulate)
[tex] 17 + 3y = 5y + 9 [/tex] (substitution)
[tex] 3y = 5y + 9 - 17 [/tex] (subtracting 17 from each side)
[tex] 3y = 5y + 8 [/tex]
[tex] 3y - 5y = 5y - 8 - 5y [/tex] (Subtracting 5y from both sides)
[tex] -2y = 5y - 8 - 5y [/tex]
[tex] -2y = - 8 [/tex]
[tex] y = 4 [/tex] (dividing both sides by -2)
[tex] MP = 5y + 9 [/tex]
Plug in the value of y
[tex] MP = 5(4) + 9 = 20 + 9 [/tex]
[tex] MP = 29 [/tex]
Related Questions
Find the midpoint of a segment with the given endpoints.
W(-2,5), X(3,-17) =
Answers
Answer:
The answer is
[tex]( \frac{1}{2} \: , \: - 6)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
W(-2,5) and X(3,-17)
The midpoint is
[tex]M =( \frac{ - 2 + 3}{2} , \: \frac{5 - 17}{2} ) \\ = ( \frac{1}{2} \: , \: - \frac{12 }{2} )[/tex]We have the final answer as
[tex]( \frac{1}{2} \: , \: - 6)[/tex]Hope this helps you
Point N is on line segment \overline{MO} MO . Given MN=2x, NO=x-2, and MO = 2x+9, determine the numerical length of \overline{MN}. MN .
Answers
Answer:
22
Step-by-step explanation
Simplify the expression.
14x - 2, for x = 7
14x-2
Answers
Answer:
Step-by-step explanation:
14X - 2
14 (7) - 2
98 - 2
96
The value of the expression at x = 7 will be 96.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 14x - 2. The value of x is 7. The value of the expression at x =7 will be calculated as:-
E = 14x - 2
E = 14 x 7 - 2
E = 96
Therefore, the value of the expression at x = 7 will be 96.
To know more about an expression follow
brainly.com/question/723406
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Simplify each using the distributive property and/or combining like terms:
1.) 4x - 91X + 8)
2.) 6x-4 +2x +9
3.) 8x + 3+ 7xy-2 + x-5xy
Answers
6x - 4 + 2x + 9 = 8x + 5
8x + 3+ 7xy - 2 + x - 5xy = 2xy + 9x + 1
Which is a factor of x2 + 8x - 48?
O (X-6)
O (x + 4)
O (x - 16)
O (x + 12)
Answers
Answer:
(x+12)
Step-by-step explanation:
x2 + 8x - 48
x2 + 12x - 4x - 48
(x-4)(x+12)
The factors of the expression are:
(x + 12) and (x - 4).
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To determine which of the options is a factor of x² + 8x - 48,
We can use either factoring or the quadratic formula.
First, let's try factoring:
x² + 8x - 48 = 0
We need to find two numbers that multiply to -48 and add to 8.
One possible pair of numbers is 12 and -4:
(x + 12)(x - 4) = 0
Now we can see that x = -12 or x = 4 are the solutions to the equation. None of the options given match these solutions.
Therefore,
The factors of the expression are:
(x + 12) and (x - 4).
Learn more about expressions here:
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-6x+4y=-18 -x-y=2 solve by subsitution
Answers
Point Form: (1, -3)
Equation Form: x = 1 , y = -3
write down 54300 in standard form
Answers
Answer:
50000 + 4000 + 300
Step-by-step explanation:
you don't need to add the extra zeros . you can if you want .
Vladimir buys 1.20 pounds of Skittles, 7/2 pounds of M&Ms, and 5.2 pounds of pretzels. If the candy cost $1.20 a pound and the pretzels cost $1.10 a pound, how much did Vladimir spend?
Answers
Answer:
$11.36
Step-by-step explanation:
1.20 x 1.20= 1.44
7/2 x 1.20= 4.2
1.44 + 4.2= 5.64
5.2 x 1.10= 5.72
5.64 + 5.72= 11.36
4. A BMW convertible travels for 4 hours, by the end the car has driven 120 miles, what was the speed of the BMW? *
Answers
Answer:
30mph
Step-by-step explanation:
120 diveded by 4=30
Answer: 30
Step-by-step explanation:
120 Divided By 4 = 30 Hope That Helps
Please Help!!!!!
Simplify
12x+3 all over (divide) 36x^2-42x
Please show all your work!!
Answers
There is no way to answer this question
The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n=a+m n=m−a n = a − m n = −m − a
Answers
Answer: Option B.
Step-by-step explanation:
The given formula is
[tex]a=m-n[/tex]
where,
a = actual cost of an item.
m = Original price
n = Amount of coupon
We need to solve the formula for the amount of the coupon (n).
In means, we need to isolate n in the given formula.
We have,
[tex]a=m-n[/tex]
Subtract m form both sides.
[tex]a-m=m-n-m[/tex]
[tex]a-m=-n[/tex]
Multiply both sides by -1.
[tex]-(a-m)=n[/tex]
[tex]-(a)-(-m)=n[/tex]
[tex]-a+m=n[/tex]
So, [tex]n=m-a[/tex].
Therefore, the correct option is B.
Each hour, the number of bacteria in Dr. Nall’s petri dish tripled. What percent is the population compared to the population the hour before?
Answers
Answer: 3x
Step-by-step explanation:
Answer:
im pretty sure is 3%
Step-by-step explanation:
let me know if im right :)
Rewrite in simplest radical form
1
x
−3
6
Answers
1 / x-1/2
x1/2
Answer:
To simplify the given radical form, we must recall some properties of exponents as shown below. 1. 1/x⁻ⁿ = xⁿ 2. x¹/² = √x Now, going back to 1/x⁻³/⁶, we have 1/x⁻³/⁶ = x³/⁶ x³/⁶ = x¹/² x¹/² = √x Using the properties provided, we have a simplified form of √x. Answer: √x
Step-by-step explanation:
how to find the slope on a table
Answers
Make sure you put it in the form
Hope this helps!!:))
HURRY PLEASE!!!
It is given that y varies inversely as x varies. If x = 15 and y = 2, what is the value of y when x = 5?
A) 12
B) 6
C) 4
D) 3
Answers
Answer:
b
Step-by-step explanation:
comment if it was correct
HELP ME PLS I NEED THIS RIGHT NOW !! <33 LUV U
Answers
The ratio between the number of students (s) on a field trip and the number of teachers (t) on the field trip is 21/4. There are 84 students going on the field trip. How many teachers must go? *
Answers
Answer:
Step-by-step explanation:
If there needs to be 4 teachers per 21 students, you would divide the total amount of students by 21 and multiply that answer by 4. SO...:
84 ÷ 21 = 4 groups of 21 students.
4 groups × 4 teachers = 16
*** Answer***
16 TEACHERS
Linda just turned 15 and is planning to go to college. She has researched her favorite Texas university and discovered the tuition there is around $14,000 per year. From her 15th birthday, Linda received a $5000 gift that she will use for her first year of college tuition. Linda will begin her new part time job soon and wants to save money every month for the next 3 years to also contribute to her first year of college. What is the minimum amount of money Linda needs to save in order to completely pay for her first year of college tuition?
Answers
Answer:
Linda needs to raise a minimum of $9,000 to completely pay for her tuition fee for the first year, that is, $250 per month
Step-by-step explanation:
Tuition fee = $14,000 per year
Linda received a $5000 gift that she will use for her first year of college tuition during her 15th birthday
Amount remaining = Tuition fee - gift money received
= $14,000 - $5,000
= $9,000
Linda needs to raise $9,000 in the next three years to contribute to her first year of college tuition
The minimum amount Linda needs to save each month in the next three years to raise $9,000
= Remaining tuition / 3 years
= $9,000 / 3 * 12 months
= $9,000 / 36 months
= $250 per month
Add. Be sure to simplify and have your answer in CORRECT scientific notation. (1.63 x 107) + (2.4 x 107) Question 1 options: 1.87 x 107 4.03 x 107 40.3 x 107 4.03 x1014
Answers
Answer:
I am 100% sure its 4.03 x 10^7
Step-by-step explanation:
|3n - 5] + 14 = 7
How do answer this equation please show work
Answers
3n+9=7
3n=7-9
3n=-2
3n = -2/3 or -.6
y=-2(x-1)-3
What is the slope intercept form for this?
Answers
EXPLANATION
when you use distributive property, you get y=-2x+2-3 and when you combine like terms, you get y=-2x-1
(The reason it is +2 instead of -2 is because when you multiply negative by a negative they cancel each other out)
What is 150 divided by 18
Answers
Answer:
8.33333333333
Step-by-step explanation:
Answer:
8.33
Step-by-step explanation:
Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes. What is the largest number of groups she can have?
Answers
Given :
Miki has 104 nickels and 88 dimes.
She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes.
To Find :
Largest number of groups she can have .
Solution :
In the given question we need to find the largest number of groups she can have i.e we have to find the LCM of 104 and 88 .
Now , factorizing both of them , we get :
[tex]104=1\times 2\times 2\times 2\times 13[/tex]
[tex]88=1\times 2\times 2\times 2\times 11[/tex]
Form above , we can say that common factors are :
[tex]HCF=2\times 2\times 2=8[/tex]
Therefore , the largest number of groups she can have is 8 .
Hence , this is the required solution .
Answer:
c
Step-by-step explanation:
just make it simple ._.
To pass science, a student must earn at least a grade of 70. How many students failed this science class? A histogram titled Science Grades has grades on the x-axis and number of students on the y-axis. 2 students received a score of 50 to 59; 5 students received a score of 60 to 69; 8 students received a score of 70 to 79; 5 students received a score of 80 to 89; 2 students received a score of 90 to 100.v
Answers
Answer:
7
Step-by-step explanation:
IM DORA
Answer:
7 students
Step-by-step explanation:
Find an equation of the line that has a slope of 5 and a Y intercept of 3. Write your answer in the form of Y=mx+b.
Answers
m=slope
b=y-intercept
y=5x+3
A factory produced 247 televisions in 13 hours. How
many televisions did the factory produce each hour?
Answers
Answer:
19
Step-by-step explanation: divide 247 by 13, and you get 19 tvs.
What is the sum of 1.57 and 6.88? 7 tenths, 3 hundredths, and 5 thousandths 8 ones, 4 tenths, and 5 hundredths 5 ones, 4 tenths, and 8 hundredths 7 tenths, 4 hundredths, and 5 thousandths
Answers
Answer:
8 ones, 4 tenths, and 5 hundredths
Step-by-step explanation:
just took the quiz
Answer:
8 ones, 4 tenths, and 5 hundredths
Step-by-step explanation:
If you make $20,000 a year, how much do you make in a month?
Answers
Answer:
1,666. a month on an average
Step-by-step explanation:
Answer:
$1,670 a month (rounded)
Step-by-step explanation:
When do u evaluate exponents in the order of operations??
Pls help I got 9 minutes to do this
Answers
Answer: Great more than happy to help!
Exponents come 2nd in line for PEMDAS (order of operations).
Once you finish the parenthesis, you move on to the exponents.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Using the PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Jacob wanted to know what the most popular sneakers brand was for his classmates. His class had 30students. To save time he asked the first 10 boys he met. Is this a random sampling for the brand of sneakers? Why or why not?
