If LN = 12x + 16, what is the length of Line segment L N in units?
Answer:
Step-by-step explanation:
16 units 40 units 48 units 64 units.
Answer:
64 units
Step-by-step explanation:
Given M lies on LN, so LN = LM + MN --------------(1)
LN = 12x + 16
LM = 10x + 8
MN = 5x - 4
Substituting the values in equation 1, we get:
12x + 16 = (10x + 8) + (5x - 4)
12x + 16 = 15x + 4
15x - 12x = 16 -4
3x=12
Therefore x=4
LN= 12(4) + 16 = 64 units
I need help with homework
Answer:
C
Step-by-step explanation:
Point C is on the x-axis.
Answer:
c
Step-by-step explanation:
the x axis is labeled
x axis is always horizontal (think the horizon)
y axis is always vertical
The line plots shows the weights of 9 grapefruits. What is the difference in the total weight of all the 1 1/2 lb grapefruits and the total weight of all the 1 1/4 lb grapefruits? A 1/4lb B 2 lb C 4 1/2lb D 7 lb
Answer:
The difference of weight is [tex]2[/tex] pounds.
Step-by-step explanation:
Given: The line plots shows the weights of [tex]9[/tex] grapefruits
To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex] grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.
Firstly, we need to convert the given mixed fractions as following:
[tex]1\frac{1}{2} lb=\frac{2+1}{2}=\frac{3}{2}lb[/tex]
[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]
Now, we know that,
Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.
In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh others weigh.
We need to observe the dot diagram to know how many grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of [tex]\frac{3}{2} lb[/tex] and how many points there are about class of [tex]\frac{5}{4} lb[/tex].
Then, the total difference between all grapefruit of pounds and all grapefruit of pounds is calculated as follows:
[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]
Where
[tex]Z[/tex]: Weight difference
[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex] grapefruit
[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit
Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex] and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex] pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]
Now,
[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]
[tex]=\frac{9}{2} -\frac{5}{2}[/tex]
[tex]=\frac{4}{2}[/tex]
[tex]=2[/tex]
Hence, for this case, the difference of weight is [tex]2[/tex] pounds.
Solve for z.
Z/4 - 11= -9
Z=
Answer:
8
Step-by-step explanation:
z/4 - 11 = -9
z/4 = 2
z = 8
Hey guys please help me! Very appreciate it
Answer:
30.9
Step-by-step explanation:
.
Animal Kingdom - You won the lottery and decided to buy all of the cats and dogs at a shelter and let them all roam free on a farm. You forgot to ask exactly how many dogs and how many cats they were giving you, but you know that there are 152 animals altogether and there are 3 times as many dogs as there are cats. Write an equation to find out the number of dogs and cats and then solve it.
Answer:
3x=152
Step-by-step explanation:
You know that there are 152 animals intotal so that goes at the end. if we say that the dogs are x because we dont know how many there are, then there are 3 times more cats then there are x.
The multiplication property of equality could be used to solve which of the following equations?
OX+2)x-3) = 0
m+7=-12
OD-2) = 18
03+y=7
Answer:
I pretty sure its C. OD-2) = 18
Step-by-step explanation:
solve (−8x−12)+(9x+4)=
Help with number 2 please
Answer:
3 in a half miles
Step-by-step explanation:
Will is w years old.
Ben is 3 years older.
1. Write an expression, in terms of w, for Ben's age.
Jan is twice as old as Ben.
2. Write an expression, in terms of w, for Jan's age.
If you add together the ages of Will, Ben and Jan the total comes to 41 years.
3. Form an equation and solve it to work out how old Will, Ben, and Jan are.
Answer:
Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
Step-by-step explanation:
Since Ben is 3 years older, his age can be represented by w + 3
Jan is twice as old as Ben, so her age can be represented by 2(w + 3)
Set up an equation that adds up these expressions and sets it equal to 41:
(w) + (w + 3) + 2(w + 3) = 41
Simplify, add like terms, and solve for w:
(w) + (w + 3) + 2(w + 3) = 41
(w) + (w + 3) + (2w + 6) = 41
4w + 9 = 41
4w = 32
w = 8
So, Will is 8 years old.
Find Ben's age by adding 3 to this:
8 + 3
= 11
Find Jan's age by multiplying this by 2:
11(2)
= 22
So, Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
Which typist is faster,
Glenda, typing 195 words in 3 minutes, or
Jorge, typing 236 words in 4 minutes?
How do you know?
please help <3
Answer:
Glenda is faster
Step-by-step explanation:
Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)
Solve for x, rounding to the nearest hundredth.
10^3x = 98
Answer:
see explanation
Step-by-step explanation:
10^3x=98
1000x=98
x=98/1000
x=49/500
x=0.98
if it is rounded to the nearest hundredth then x=0
I need help with this
Answer:
The order is from top to bottom just an FYI :)
First blank: 1
Second blank: 7
Third blank: 4
Step-by-step explanation:
I did the division, got the answer as 1.1, so the first blank is 1. The second blank should be 7 and the third blank should be 4 so that the numbers subtract to 0.
1) Work out the size of angle x.
2) Give reasons for your answer.
(15 points if correct)
Answer:
x= 75°
because 180°-105°=75°
Tammy's home cost her S184,000. She lives in an area with a lively real estate market, and her hormincreases in value by 3.5%
every year. If Tammy sels her home after thirteen years, how much profit wil she have made, to the nearest hundred dollars?
a s8,500
b.
C.
d
7,800
S83,700
S103,800
Please select the best answer from the choices provided
O
A
B
C
D
O
Save and Exit
Next
Submit
Answer D 103,800
Answer:
D. $103800Step-by-step explanation:
Initial value of house:
$184000Yearly increase rate of value:
3.5%Time
13 yearsSince the increase is concerning the current price it would be exponential growth.
The function would be:
V(t) = 184000*(1 + 3.5/100)^t, where V is the value after t yearsFor t= 13 we get:
V(13) = 184000*(1.035)^13 = 287800Profit made would be:
287800 - 184000 = 103800Correct option is D.
Answer:
Cost of Tammy's house =$184000
Rate of interest = 3.5% per annum
After 13years price will be
[tex]P(t) = 184000 {(1 + \frac{3.5}{100}) }^{t} \\ P(t) = 184000 {(1 + 0.035)}^{t} \\ P(13) = 18400 {(1.035)}^{13} \\ P(13) =\$ 287768[/tex]
Total profit= $(287767-184000)= $103768
D. $103800 is the right answer.which equation represents this graph?
Answer:
It would be the 1st answer, y= 3/2x + 2.
Step-by-step explanation:
The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps
Rena has posters that measure 8 inches wide by 10 inches tall. If she uses a poster maker which creates similar posters, what is the area of the poster if the height of the poster is 35 inches?
Answer:
B . 980 just trust me
Step-by-step explanation:
You set up proportions
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.75 per mile. Katie has no more than $10 to spend on a ride. How many miles can Katie travel without exceeding her limit?
Answer:
11 miles
Step-by-step explanation:
10-1.75=8.25
8.25÷.75=11
What is the multiplayer for a 3% increase?
Answer:
3% = 0.03
verified with calculator
the equation of the line which has a gradient of 3 and passes through the point (-1,3)
Answer:
Call the line (d): y = ax + b
(d) intersects the vertical axis at the point where the intersection is 3 ⇒x = 0, y = 3 Instead of (d) we have: b = 3
(d) intersects the horizontal axis at the point where the coordinate is -1 ⇒x = −1, y = 0 Instead of (d) we have: −a + b = 0
Replace into b = 3 into -a + b = 0 we have: −a + 3 = 0⇔a = 3
So the equation for the line is y = 3x + 3
Step-by-step explanation:
Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
D
36 cm
X
h
A А
E
20 cm
Answer:
h = 24 cm
Step-by-step explanation:
By using the similar triangle property in the given triangles,
Since, ΔBCD ~ ΔBAE
Their corresponding sides will be in the same ratio,
[tex]\frac{BC}{BA}= \frac{CD}{AE}= \frac{BD}{BE}=\frac{a}{h}[/tex]
[tex]\frac{CD}{AE}=\frac{a}{h}[/tex]
[tex]\frac{10}{20}=\frac{(36-h)}{h}[/tex]
10h = 20(36 - h)
10h = 720 - 20h
30h = 720
h = 24 cm
Therefore, height h = 24 cm is the answer.
Answer:
24
Step-by-step explanation:
I took the test
Greatest common factor of 4 and 19?
Answer:
The greatest common factor of 4 and 19 is 1
Step-by-step explanation:
Answer:
Greatest common factor of 4 and 19 is 1
Simplify as fully as possible
4x²y^4 × (3xy²)² / 2x²y×4xy^9
Answer:
The answer is ;
9x/2y^2
Step-by-step explanation:
Here, we want to simplify as far as possible
Let us take all the numbers one after the other
All numbers on numerator and denominator;
(4 * 9)/(2 * 4) = 9/2
All x
(x^2 * x^2)/(x^2 * x) = x
All y
(y^4 * y^4)/(y * y^9) = y^8/y^10 = 1/y^2
So the complete answer is;
9/2 * x * 1/y^2
= 9x/2y^2
7(n+4)= 21 what’s does n equal
Answer:
Step-by-step explanation:
here you go mate
step 1
7(n+4)= 21 equation/Question
step 2
7(n+4)= 21 simplify
7n+28=21
step 3
7n+28=21 subtract
7n=-7
step 4
[tex]\frac{7n}{7} =\frac{-7}{7}[/tex]Divide
answer
n=-1
Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°
Answer:
x = 71°
Option B is correct answer.
Step-by-step explanation:
We need to find for what value of x is [tex]sin\: x = cos 19^{\circ}[/tex], where 0°< x < 90°?
Solving:
[tex]sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}[/tex]
So, we get x = 71°
Option B is correct answer.
For the school play, the advance tickets cost 3, while tickets at the door cost 5. Thirty more tickets were sold at door than in advance, and was collected. How many of each kind of ticket were sold? Write your answer in a sentence.
Answer:
Number of tickets sold in advance = 310
Number of tickets sold at the door = 340
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at the door than in advance, and $2630 was collected. How many of each kind of ticket were sold?
The explation of the answer is now given as follows:
Let a represents number of tickets sold in advance. Therefore, we have:
a = number of tickets sold in advance at $3 each
a + 30 = number of tickets sold at the door at $5 each
The total amount collected can be represented by this equation:
3a + 5(a + 30) = 2630
Solving for a, wee have:
3a + 5a + 150 = 2630
8a = 2630 - 150
8a = 2,480
a = 2,480 / 8
a = 310
Therefore, this implies:
Number of tickets sold in advance = 310
Number of tickets sold at the door = a + 30 = 310 + 30 = 340
please help its algebra 1
Answer: She can take 25 students.
Step-by-step explanation:
If she has 150 dollars and the bus costs 100, and she only charges 2 dollars each, then 50 divided by 2 equals 25
Answer:
I think 25 students
Step-by-step explanation:
Her budget is $150 .She is already paying $100 for the bus so you have $50 dollars now.If each student is charged $2 all you have to do is divide $50 by 2 and that gets you 25.So 25 students.Hope this helped =)
Brainliest...I have to post a few of these cause I forgot to study for this assignment....
Answer:
-1
Step-by-step explanation:
you do 1/1 which is 1. because the line is negative, the answer is -1
to the nearest 50 square feet what is the area of the actual store?
Helpppp meeeeee pleaseeeee
Answer:
x+3=5 is the answer you're looking for.
Answer:
x+3=5
Step-by-step explanation: