Answer:
BC = 8
Step-by-step explanation:
AB + BC = AC
4x + 8 + 3x - 4 = 32
7x + 4 = 32
7x = 32 - 4
7x = 28
x = 28/7
x = 4
BC = 3x - 4 = 3*4 - 4 = 12 - 4 = 8
Answer:
B) 8
Step-by-step explanation:
The Segment Addition Postulate basically states that the sum of the segments of a line will equal the length of the entire line.
Thus, AB+BC=AC, and we can substitute:
AB+BC=AC
(4x+8)+(3x-4)=32
4x+8+3x-4=32
7x+4=32
7x=28
x=4
Now that we have x, we can plug it in for segment BC:
BC=3x-4
3(4)-4
12-4
8
Therefore, choice B is correct
Help me please I'm not good at math at all.
Answer:36+2 divided by x=A
Step-by-step explanation:
Which expression is equivalent to this expression?
4a + (–6b) – 3a + 2b
Answer:
a−4b
Step-by-step explanation:
=4a+−6b+−3a+2b
Combine Like Terms:
=4a+−6b+−3a+2b
=(4a+−3a)+(−6b+2b)
=a+−4b
I like your cut g ;)
If three cards are drawn at random from a standard deck of 52 cards, what is the probability that they will all be queens?
Answer:
0.01809955% or about 0.018%
Step-by-step explanation:
You do the multiplication of 4/52 by 3/51 by 2/50
If f(x) = 9-2 |x+2|, find f(-7).
-15
-1
1
19
Step-by-step explanation:
f(x) = 9 - 2|x + 2|
When x = 7, f(-7) = 9 - 2|(-7) + 2|
= 9 - 2|(-5)|
= 9 - 2(5)
= 9 - 10
= -1.
9514 1404 393
Answer:
-1
Step-by-step explanation:
Put -7 where x is and do the arithmetic.
f(-7) = 9 -2|-7+2|
= 9 -2|-5| = 9 -2·5 = 9 -10
f(-7) = -1
F is inversely proportional to d 2 . When F = 8 , d = 6 Work out d (positive value rounded to 2 DP) when F = 7
Answer:
d ≈ 6.41
Step-by-step explanation:
Given that F is inversely proportional to d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion
To find k use the condition when F = 8, d = 6 , then
8 = [tex]\frac{k}{6^2}[/tex] = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
288 = k
F = [tex]\frac{288}{d^2}[/tex] ← equation of proportion
When F = 7 , then
7 = [tex]\frac{288}{d^2}[/tex] ( multiply both sides by d² )
d² × 7 = 288 ( divide both sides by 7 )
d² = [tex]\frac{288}{7}[/tex] ( take the square root of both sides )
d = ± [tex]\sqrt{\frac{288}{7} }[/tex] ≈ ± 6.41
The positive value of d is 6.41 ( to 2 dec. places )
Answer:
when F = 7, d = 6.41
Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k/x
where 'k' is called the constant of proportionality
Given that F is inversely proportional to d.
F ∝ 1/d
F = k /d²
When F = 8, d = 6, we need to find k
k = Fd²
k = 8×(6)²=288
Now, we need to find d when F = 7
so substitute k = 288, F = 7 in the equation
F = k /d²
d² = k/F
d² = 288/7
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]d=\sqrt{\frac{288}{7}},\:d=-\sqrt{\frac{288}{7}}[/tex]
but, we need to take the positive value of d, so
[tex]d=\sqrt{\frac{288}{7}}[/tex]
[tex]d=6.41[/tex]
Therefore,
when F = 7, d = 6.41
anyone know? plz help any oen
This oneeeee ty pleaseeee
Answer:
multiple choice?
Step-by-step explanation:
can someone help with the equation(s)?
Answer:
Ok this is multiplication so its 30.25
Step-by-step explanation:
5.50 X 5.50 = 30.25
Aaliyah learned to play a total of 16 pieces over the course of 8 weeks of piano lessons. After 10 weeks of piano lessons, how many total pieces will Aaliyah be able to play? Solve using unit rates.
Answer:
20
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
:P
PLEASE HELP FAST WHAT IS THE ANSWER FOR THIS QUESTION I WILL GVIE BRAINLIST AND EXTRA POINTS FOR CORRECT ANSWER THANKS!!
Answer:
f(2) = -3
Step-by-step explanation:
This is the answer because:
1) The question is basically asking what the y-cordinate is.
2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.
3) When you line up the cordinates, you can see that where x is 2, y is -3.
Therefore, the answer is -3.
Hope this helps! :D
You are making a salad. The ratio of olives to croutons is 5 : 3. You put 12 croutons in your salad. How many olives do you put in your salad?
Answer:
20
Step-by-step explanation:
12/3 (the number of croutons) = 4
Since 4 is your base number, you would multiply 4 x 5.
20 olives
Answer:
20
Step-by-step explanation:
Ratio of olives : croutons is 5 : 3.
If you put 12 croutons, you put 4 times the amount of croutons in the ratio since 12/3 = 4.
That means you must also put 4 times the number of olives.
4 * 5 = 20
Answer: 20
ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
How many five-digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting repeating
a) 15 b) 96
c) 216 d) 120
I am pretty confused with this, kindly explain it in detail and get a brainliest too!
Answer:
there are a total of 120 + 96 = 216, 5 digit numbers divisible by '3' that can be formed using the digits 0 to 5.
Which system of equations is satisfied by the solution shown on the graph?
Answer:
D
Step-by-step explanation:
To find the system of equations that is satisfied by the solution shown on the graph, we will simply need to find the equations of our two lines.
So, we will begin by finding the slope of each line and then proceed to find the entire equation.
Red Line:
To find the slope, we will first pick any two points from the red line.
Two sample points include (-5, 5) and (-4, 6).
The slope formula is given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Lett (-5, 5) be (x₁, y₁) and (-4, 6) be (x₂, y₂). Substitute:
[tex]\displaystyle m=\frac{6-5}{-4-(-5)}=\frac{1}{1}=1[/tex]
Hence, the slope of the red line is 1.
Now, we can find the entire equation. We will use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We know that the slope m is 1. Hence:
[tex]y=x+b[/tex]
We need to find our y-intercept b. For the red line, we know that when x is -5, y is 5. Hence:
[tex](5)=(-5)+b[/tex]
Solving for b yields:
[tex]b=10[/tex]
Therefore, our entire equation is:
[tex]y=x+10[/tex]
Blue Line:
Again, we will find the slope first.
Picking two points, we get (0, 6) and (1, 5).
Using the slope formula by letting (0, 6) be (x₁, y₁) and (1, 5) be (x₂, y₂), we acquire:
[tex]\displaystyle m=\frac{5-6}{1-0}=\frac{-1}{1}=-1[/tex]
Hence, the slope of the blue line is -1.
Again, we can use the slope-intercept form:
[tex]y=mx+b[/tex]
Fortunately, we already know the y-intercept in this case. Since we have the point (0, 6), the y-intercept b is 6.
Therefore, our equation is:
[tex]y=-x+6[/tex]
So, our two equations are:
[tex]y=x+10\text{ and } y=-x+6[/tex]
Our answers are in standard form, so we will convert the two equations to standard form. Standard form is given by:
[tex]Ax+By=C[/tex]
Where A, B, and C are integers and A is positive.
For the first equation, we can subtract x from both sides to get:
[tex]-x+y=10[/tex]
Since A should be positive, we multiply both sides to get:
[tex]x-y=-10[/tex]
For the second equation, we can add x to both sides:
[tex]x+y=6[/tex]
Hence, our two equations in standard form is:
[tex]x+y=6\text{ and } x-y=-10[/tex]
Therefore, our final answer is D.
Answer: D x + y = 6 and x − y = -10
Step-by-step explanation:
Solve x − y = 5 for y.
Answer:
-y=5-x
Step-by-step explanation:
The demand for Titos Tacos increased so much that Tito has decided to increase his prices by 10%. Write a single term expression that represents the new price of one of Titos Tacos if the original price was t dollars
Answer:
Concept: Mathematical Representation
They increased their price by 0.10Let y be the new price of one of Titos TacosLet t be the original price Hence y= t * 0.10If I can read 54 pgs in 3 days, how many can I read in 1 day?
Answer:
18
Step-by-step explanation:
so all you have to do is divide 54 by 3
there are 6 people at a party
Answer:
wait wut!!!?????????
PLEASE PLEASE HELP 25 POINTS I WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
(3, 9) (-3, 5)
0 is in the middle 7 is in the middle
for x: 3 2 1 0 -1 -2 -3 for y: 9 8 7 6 5
Thus, (0, 7) is the midpoint between (3, 9) and (-3, 5)
Elevate the expression
(28-21) to the 2 power
Help!
Answer:
49
Step-by-step explanation:
28-21=7
7 to the power of two is the same as 7(7)
7(7)=49
0=(2y−1)(8−y) Let y=u, y=d. What is the value of u×d
Answer:
The value of uxd=4
Step-by-step explanation:
since y=u, y=d, y=y
y=1/2 and 8
2y-1=0
2y=1
y=1/2
8-y=0
8=y
1/2*8=4
Answer:
4
Step-by-step explanation:
0=(2y−1)(8−y)
Using the zero product property
2y-1 =0 8-y =0
2y =1 8=y
y =1/2 y= 8
Let y=u, y=d
u = 1/2 d = 8
We want the value of u*d
u*d = 1/2 *8 = 4
PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Answer:
25
Step-by-step explanation:
180-130=50
50/2=25
Answer:
x = 25 degrees
Step-by-step explanation:
the figure is an isosceles triangle
x + x + 130 = 180
2x + 130 = 180
2x = 180 - 130
2x = 50
x = 25 degrees
pls help!!
and pls explain as well, thank you!
Help? I would appreciate it
Answer:
$6.50 per candle
Step-by-step explanation:
19.50 / 3 = 6.50
Answer:
$6.50
Step-by-step explanation:
$19.50 divided 3 is 6.50
A baker is putting cupcakes on trays to cool. She put 2 cupcakes on the first tray, 4 cupcakes on the second tray, 8 cupcakes on the third tray, 16 cupcakes on the fourth tray, and 32 cupcakes on the fifth tray. If this pattern continues, how many cupcakes will the baker put on the sixth tray?
Answer:
64 cupcakes
Step-by-step explanation:
Tray 1 = 2 cupcakes
Tray 2 = 4 cupcakes
Tray 3 = 8 cupcakes
Tray 4 = 16 cupcakes
Tray 5 = 32 cupcakes
Tray 6 = ?
This is a geometric progression
First term, a = 2
Common ratio, r = 4/2
= 2
6th term = ar^n-1
= 2 × 2^6-1
= 2 × 2^5
= 2 × 32
= 64
The 6th tray will have 64 cupcakes
. help needed please
f(2)=-2 and f(1)=1 write a linear function
Answer:
[tex]f(x) = -3x+4[/tex]
Step-by-step explanation:
We can use the form [tex]y=mx+b[/tex] to find the linear function.
From [tex]f(2)=-2[/tex] , we can write:
[tex]-2=2m+b[/tex]
From [tex]f(1)=1[/tex] , we can write:
[tex]1=m+b[/tex]
To find for [tex]m[/tex], we can substract the second equation from the first:
[tex]2m+b-(m+b) = -2-1[/tex]
[tex]2m+b-m-b=-3[/tex]
[tex]m=-3[/tex]
To find for [tex]b[/tex], we can use substitution:
[tex]1 = m+b[/tex]
[tex]1 = -3+b[/tex]
[tex]b=4[/tex]
∴ [tex]f(x) = -3x+4[/tex] is the linear function.
Hope this helps :)
The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%
Answer:
216$
Step-by-step explanation:
Answer:
41.2%
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\[/tex]
So the percentage increase was 41.2%
Atrain travels at a speed of 58.6 km'hi Express this speed
a.ms
b. m/min
Answer:
16.27
Step-by-step explanation:
if 1000m rep 1km
therefore :
58.6km/h in ms = 58.6km×1000/3600
=16.277 ms
Help please:):):):):):)
do eat popcorn in a tub
:)
poopy face
plz help asap i will mark you brainlist plz help