Answers
Step-by-step explanation:
given,
MP = x - 8
PN = 3x - 9
MN = 21
we know,
according to segment addition postulate AB + BC = AC
now,
MP + PN = MN
→ x - 8 + 3x - 9 = 21
→ 4x - 17 = 21
→ 4x = 21 + 17
→ 4x = 38
→ x = 38/4 = 9
→ x = 9
therefore, value of x is 9.
hope this answer helps you dear! take care
Related Questions
f(1) = 4
f(x) = f(x-1) + 3
Find f(2)
Answers
f(2)= f(2-1)+3
f(2)=f(1)+3
12. Carter has 3 statues of various sizes in his garden. Statue A is one foot taller than
Statue B. Statue C is one-half of a foot taller than Statue B.
13
Let x represent the height of Statue B. Write expressions to represent Statue A and
Statue C.
Statue A
Statue B
Х
Statue C
14 If the total combined height of the 3 statues is 34.5 inches, find the height of
Statue B.
Answers
Answer: B is 11 feet tall
A=x+1 since A is one more than B
C=x+1/2 since C is one half more than B
B=x since B is just B
A+B+C=34.5
x+1+x+x+1/2=34.5
3x+1.5=34.5
3x=33
x=11
B is 11 feet tall
Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much does she use on 1 pizza. How much does she use on 15 pizzas.
Answers
Answer:
32.5
Step-by-step explanation:
10 ounces is in 4 pizzas so if we want 15 pizzas we need to count up
4 can not fit into 15 so we have to stop at 12 pizzas.
Now we need to add 3 pizzas
:Note: that one pizza is 2.5 of an ounce out of 10 ounces
so after you add the 3 pizzas you have 15 but that wasnt 4 pizzas so you have 2.5 ounces left over you add those ounces to the 30 you got from the 12 ounces which you have 30 and add it to the ounces left over
2.5 + 30 = 32.5
Find the perimeter. Simplify your answer.
Answers
Answer:
22w - 18
Step-by-step explanation:
To find the perimeter we have to add up all the sides
10w-10+w+1+10w-10+w+1
combine light terms
22w - 18 would be our answer
Brainliest please
How many solutions does |3x + 1| = -5 have?
need to know answer asp
Answers
Answer:
0
Step-by-step explanation:
Absolute values can't have negatives as answer. Useful tip, If there is a negative as an answer for absolute value, there is no solution, if it has 0 as an answer, there is 1 solution, and if it has a positive as answer, then it will have 2 solutions.
Which pairs of numbers are equivalent?
Select each correct answer.
15/8 and 1 7/8
35/4 and 8 3/4
23/6 and 4 1/6
11/4 and 2 1/2
40/12 and 3 1/3
i need this fast
Answers
Answer:
4 an 5
Step-by-step explanation:
Answer:
15/8 and 1 7/8
35/4 and 8 3/4
40/12 and 3 1/3
Step-by-step explanation:
15/8 and 1 7/8:
Convert the improper fraction into a mixed number: [tex]\frac{8+7}{8}[/tex]
Calculate the sum or difference: [tex]\frac{15}{8}[/tex]
Check equivalency: True
Answer: True
=================================================================
35/4 and 8 3/4
Convert the improper fraction into a mixed number: [tex]\frac{8*4+3}{4}[/tex]
Calculate the product or quotient: [tex]\frac{32+3}{4}[/tex]
Calculate the sum or difference: [tex]\frac{35}{4}[/tex]
Check equivalency: True
Answer: True
================================================================
23/6 and 4 1/6
Convert the improper fraction into a mixed number: [tex]\frac{4*+1}{6}[/tex]
Calculate the product or quotient: [tex]\frac{24+1}{6}[/tex]
Calculate the sum or difference: [tex]\frac{25}{6}[/tex]
Check equivalency: False
Answer: False
===============================================================
40/12 and 3 1/3
Reduce the fraction: 10/3
Convert the improper fraction into a mixed number: [tex]\frac{3*+1}{3}[/tex]
Calculate the product or quotient: [tex]\frac{9+1}{3}[/tex]
Calculate the sum or difference: [tex]\frac{10}{3}[/tex]
Check equivalency: True
Answer: True
================================================================
11/4 and 2 1/2
Convert the improper fraction into a mixed number: [tex]\frac{2*+1}{2}[/tex]
Calculate the product or quotient: [tex]\frac{4+1}{2}[/tex]
Calculate the sum or difference: [tex]\frac{5}{2}[/tex]
Check equivalency: False
Answer: False
Please help...........
Answers
Answer:
4
Step-by-step explanation:
your answer is 4 because
2*4 = 8
5*4 = 20
7*4 = 28
8*4 = 33
At the end of which day does Tyler have 2750 feet left to climb?
Answers
Awnser this for brainliest
Answers
Distance traveled in one complete orbit of the sun (one “year”) would be around 17,562,300,000 miles
hope this helps
A train goes at a constant speed. It can travel 150 miles in 2 1/2 hours. How long would it travel in 2 hours?
Answers
60 miles per hour
60 X 2 = 120
120 miles in 2 hrs
1. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you purchase?” The results are shown in the line plot.
(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?
Answers
Answer:
a. 15
b. 11
c. 2
d. 7
e. 3
Step-by-step explanation:
a. count the dots, that will be total customers surveyed = 15
b. one customer purchased 11 items - 11
c. count how many dots under 9 - 2
d. at least 5, meaning ppl buying 5 or more items, count dots greater than 5
- 7
e. Median means middle number, arrange in order
0,1,2,2,3,3,3,3,5,5,7,7,9,9,11, so middle number is : 3
Answer:
a. 15
b. 11
c. 2
d. 7
e. 3
hope this helps :)
Will give brainly crown
Jared’s average daily balance for last month was $560. The finance charge was $8.12.
a. What was the monthly percentage rate?
b. What was the APR?
Answers
Answer:
A) monthly percentage rate = 1.45%
B) APR = 17.4%
The monthly percentage rate was 1.45 % and the annual percentage rate was 17.4%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that Jared’s average daily balance for last month was $560. The finance charge was $8.12.
We have to determine the monthly percentage rate.
The monthly percentage rate is the percentage ratio of the finance charge to the average daily balance.
The monthly percentage rate = finance charge / average daily balance
The monthly percentage rate = $8.12 / $560 × 100
The monthly percentage rate = 0.0145 × 100
The monthly percentage rate = 1.45 %
The Annual percentage rate = 12 × monthly percentage rate
The Annual percentage rate = 12 × 1.45 %
The Annual percentage rate = 17.4 %
Therefore, the monthly percentage rate was 1.45 % and the annual percentage rate was 17.4%.
Learn more about the percentages here:
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What happens if I find the sum of two even numbers
Answers
I don't know what you mean by this but you'll just get a value larger than the two sums that you added
5 + 7 = 12
3 + 4 = 7
Answer:
The sum will always be even
Step-by-step explanation:
Can someone help me with this
Answers
Answer:
1. so the express of the shaded region would be
10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x
so 60x-8x
2.
the perimeter is 6*2 bc two sides so 12
and 10x *2 bc two sides 20
so 20x+12 would be the perimeter
A shark is 205 feet below sea level, it rises 80 feet towards sea level, then 25 points
drops 40 feet. What is the current elevation?
Captionless Image
Answers
Answer:
165 feet below sea level.
Step-by-step explanation:
205 - 80 = 125
125 + 40 = 165
PLEASE HELP!!!!
The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. In which attempts did he improve by more than 8
seconds from the previous attempt? Check all that apply.
Answers
Answer:
I think it's 2 and 5
Step-by-step explanation:
I hope this helps
Answer:
4,6,2,7
Step-by-step explanation:
the $5 are correct but it marked the .75 as wrong
Answers
In an experiment, the temperature of a sample is measured as 16 degrees Celsius. If the percent error is 0.75%, how can you report the temperature of the sample using the absolute error and the actual temperature value in degrees Celsius?
Answers
Answer: T=16 ± 0.12 ° CA Aw
Step-by-step explanation:
Jodie wants to raise money for a school trip by selling raffle tickets at a basketball game. She sells each ticket for 50 cents, and she sells two and a half rolls of tickets. If each roll of ticket has 200 tickets, how much money did Jodie make?
Answers
Answer:
250 dollars
Step-by-step explanation:
t = tickets
t = 200
Two and a half rolls tickets = (200 x 2) + 200/2) = 400 + 100 = 500
500 tickets x 50 cents = 25000 cents
convert cents to dollars (move decimole point over left 2 units)
25000 = 250 dollars
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.3% How much interest will the customer earn in 30 years
Answers
The formula for simple interest is A=P(1+rt)
A is the final amount
P is the initial amount
r is the rate
t is the amount of time
If you plug the information given into the formula:
3,000(1+1.3•30)=120,000
3,000 is the initial amount
1.3 is the rate
30 is the amount of time
120,000 is the final amount
The question asks how much interest the customer will earn, not what the final amount in the account will be.
Given that, you would subtract the initial amount to find out how much the customer earned.
120,000-3,000=117,000
hope this helps!
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the from the 1st hour to the 4th hour? Be sure to include the correct units of measurement
Answers
The rate of change is in Y over the change in X.
Y is the dollar amount at 4 is 78 at 1 it is 54, the change is 78 - 54 = 24.
X is the time the change from 4 to 1 is 3 ( 4 - 1 = 3)
The rate of change is 24 / 3 = 8.
The answer is 8 dollars per hour.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. the average rate of change from the 1st hour to the 4th hour is 8.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.
At the end of the night, the driver calculates his profits and makes a graph to analyze the data.
The rate of change is in Y over the change in X.
Y is the dollar amount at 4 = 78 ,
at 1 = 54
the change is 78 - 54 = 24.
X is the time the change from 4 to 1 = 3
The change is ( 4 - 1 = 3)
The rate of change = 24 / 3 = 8.
Therefore, The answer is 8 dollars per hour.
Learn more about the unitary method;
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Can anyone help me with this
Answers
Answer:
12
Step-by-step explanation:
Answer:
4
very simple algebric question...hope its help you
Find the surface area of each prism
Answers
Answer:
3. SA = 876 [tex]in^{2}[/tex]
4. SA = 161 [tex]ft^{2}[/tex]
Step-by-step explanation:
Number 3.
To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.
To find side lengths:
Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is 8 in. Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.
Now we know all the (needed) side lengths.
To find the Surface Area:
Total SA = (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))
= 312 + 288 + 120 + 2 x (54 + 24) = 720 + (2 x 78)
= 876 [tex]in^{2}[/tex]
Number 4.
Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.
Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.
To find the Surface Area:
Total SA = 2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)
= 80 + 25 + 56
= 161 [tex]ft^{2}[/tex]
Pleaseee help me A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function (x) -0.8x? - 256x+29,444. What is the minimum unit cost?
Do not round your answer.
Answers
Answer: 8,964
Step-by-step explanation: x= -b/2a. So, -(-256)/2(0.8)= 160. Plug in 160 to the whole equation.
0.8(160)^2 -256(160)+29444
=8,964
Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=x+3
s(x) = 2x
Write the expressions for (r-s) (x) and (-s) (x) and evaluate (r+s) (-1).
Answers
Step-by-step explanation:
as explained in the other question : when applying an arithmetic operation on functions, you are applying it on the functional expressions.
(r*s)(x) = (x+3)*(2x²) = 2x³ + 6x²
(r-s)(x) = (x+3) - (2x²) = -2x² + x + 3
(r+s)(-1) = (-1 + 3) + (2×(-1)²) = 2 + 2×1 = 4
For this question, I'd want some assistance. Thank you very much. Have a wonderful day!
Answers
Answer:
can u take pic again?
Step-by-step explanation:
Solve the equation. Linear Equations:Variable on Both Sides
-7x-3x+2=-8x-8
Solve it step by step
Answers
A youth group went on trip to EXPO Dubai Travelling in two Vans. The number of people in each van and the total cost of admission are shown in the table. Find the adult price and student price of admission
Answers
Answer:
Refer to the attachment
Soo :
2a + 3b = 325
2a + 7b = 505 -
-4b = -180
4b = 180
b = 45
[tex] \: [/tex]
2a + 3b = 325
2a + 3(45) = 325
2a + 135 = 325
2a = 325 - 135
2a = 190
a = 95
need help please i’m struggling to solve
Answers
I can't give a very good answer as I don't know what resources are available to you, but this is what I managed to find with a ti-84 calculator.
[tex]y=-31.24+1.34x[/tex]
If you want a better step-by-step, tell me what's in that 'open statistics calculator' option and I'll see what I can figure out.
edit: missed that second part of the question
Using this equation to calculate a test grade with a homework grade of 90:
[tex]y=-31.24+1.34(90)=89[/tex]
PLEASE HELP ME AND NOT JUST ANSWER FOR POINTS!!!