Answer:
x = 5
Step-by-step explanation:
1/5(3x - 15) = -4(3/5x - 3)
Distribute the 1/5 in.
3x/5 - 3 = -4(3/5x - 3)
Distribute the -4 in.
3x/5 - 3 = -12x/5 + 12
Multiply both sides by 5.
3x - 15 = -12x + 60
Add 15 to both sides.
3x = -12x + 75
Add 12x to both sides.
15x = 75
Divide both sides by 15 to get
x = 5
Proof:
1/5(3x - 15) = -4(3/5x - 3)
1/5(3(5)-15) = -4(3/5(5) - 3)
1/5(15 - 15) = -4(3 - 3)
1/5(0) = -4(0)
0 = 0
Let v= (-5,-2) and w= (-10,4) which of the following is true?
How many faces, vertices, and edges does a right rectangular pyramid have? 4 faces, 5 vertices, and 7 edges 5 faces, 5 vertices, and 8 edges 5 faces, 8 vertices, and 11 edges 6 faces, 8 vertices, and 12 edges
Answer:
Rectangular pyramid : Faces, Vertices, Edges = 5 , 5 , 8 respectively
Step-by-step explanation:
Rectangular pyramid is a 3D shape, with base as rectangle & triangle face corresponding to each side of base (on the top)
Faces = 5 { 1 rectangular base face , 4 triangular faces above}
Vertices = 5 { 4 vertices of rectangle, 1 vertice on top - where triangles' tips intersect}
Edges = 8 {4 edges of rectangle at base , 4 edges of triangles above}
Answer:
b. 5, 5, 8
Step-by-step explanation:
i did the assignment and this was the correct answer <3
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help pls i’ll mark brainliest:)
Answer:
166mm
Step-by-step explanation:
i am smart
Answer:
146 mm²
Step-by-step explanation:
First, let's start with the formula for the surface area of a rectangular prism.
A = 2(wl + hl + hw)
Plug in everything that you know.
A = 2[(4 · 5) + (7 · 5) + (7 · 4)]
Simply the equation.
A = 2(20 + 35 + 28)
A = 2(73)
A = 146
Add ( √3 + 6√7 ) and (2√3 - 5√7 )
Answer:
3√3 + 1√7
Step-by-step explanation:
Answer:
7.84 or 3√3+√7
Step-by-step explanation:
Which expressions are equivalent to 2.25x ?
Answer:
Step-by-step explanation:
2.25x has an infinite number of equivalents.
Three are as follows: (225/100)x, (9/4)x and (0.00225/0.001)x
In 2010 a small college had an enrollment of 9500 students. The declared majors are detailed in the table below.
Step-by-step explanation:
42. 9025 (95% of 9500 or 0.95 x 9500)
43. 279 ( 279 + 861= 1140; 1140 is 12% of 9500 or 0.12 x 9500)
Plz answer this question
mhanifa
Answer:
Option BStep-by-step explanation:
Given function:
H(s) = 0.003s² + 0.07s - 0.027Average rate of change in the interval s = 80 and s = 100:
[H(100) - H(80)] / (100 - 80) = [0.003(100²) + 0.07(100) - 0.027 - 0.003(80²) - 0.07(80) + 0.027] / 20 = 12.2 / 20 = 0.61Correct choice is B. 0.61
If you can answer this, please help !
Answer:
the total of angle's in traingle is 180
so 85+53+c=180
c=180-138
c=42
Step-by-step explanation:
180° = m∠A + m∠B + m∠C
180° = 85° + 53° + m∠C
180° = 138° + m∠C
m∠C = 180° - 138°
= 42°
#CMIIW
ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!! DO 9 AND 10!!!
Someone seriously help me im tired of the links
Angle Relationship Equations ... pose help I don’t do this but my friend has to so help
3)
26 + ( 3x + 1 ) = 180
27 + 3x = 180
3x = 180 - 27
3x = 153
x = 153/3
x = 51
___________________
4)
( 4x + 1 ) + ( 3x + 4 ) = 180
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175/5
x = 25
Answer:
3) [tex]x=51[/tex]
4)[tex]x=25[/tex]
Step-by-step explanation:
[tex]3) ~ 3x+1+26=180\\ \\ ~ (linear ~pair)[/tex]
[tex]3x+27=180\\~ ~ -27 ~ ~-27[/tex]
[tex]subtract ~ -27 ~ from ~ both ~ sides[/tex]
[tex]\frac{3x}{3} =\frac{153}{3}[/tex]
[tex]x=51[/tex]
--------------------------
[tex]4)~ 4x+1+4+3x=180[/tex]
[tex]7x=180-5[/tex]
[tex]x=\frac{175}{7}[/tex]
[tex]x=25[/tex]
----------------------------
hope it helps...
have a great day!!
Find f(x) = 4*, when x = 1/2
Answer:
f=8
Step-by-step explanation:
fx0.5=4
f=4x2
f=8
An archiect is building a model of tennis court for a new client. the court is 6 inches wide and 13 inches long an official tennis court is 36 feet wide. what is the length of a tennis court?
Answer:
78 feet
Step-by-step explanation:
6/36=13/x
6×x=13×36
6x=468
6x/6=486/6
x=78
PLZZ HELP ASAP TYSM REALLY APPERCIATE IT
Answer:
a = 40
Step-by-step explanation:
This is a complementary angle so it will add up to 90 degrees 90 - 50 = 40 so 40 is the missing angle hope this helps you!
What is the answer to this. Correct answer will get brainliest.
How many solutions does the equation
2 + 6(2 - 4) = 3x 18 + 3x have?
A infinite
B 0
C 1
D 2
Brittney has 2 and 3/4 yards of fabric. She wants to make wreaths that require 1/8 yards. What is the maximum number of wreaths she can make?
Answer: 22
Step-by-step explanation:
Given
Brittney has 2 and [tex]\frac{3}{4}[/tex] yards of fabric
Converting it to a fraction
[tex]\Rightarrow 2\ \dfrac{3}{4}=\dfrac{8+3}{4}\\\\\Rightarrow \dfrac{11}{4}[/tex]
Wreath require [tex]\frac{1}{8}[/tex] yards
Number of wreaths that can be made
[tex]\Rightarrow n=\dfrac{\frac{11}{4}}{\frac{1}{8}}\\\\\Rightarrow n=\dfrac{11}{4}\times \dfrac{8}{1}\\\\\Rightarrow n=22[/tex]
She can make 22 wreaths
In a computer catalog, a computer monitor is listed as being 27 inches. This distance is
the diagonal distance across the screen. If the screen measures 15 inches in height,
what is the actual width of the screen to the nearest inch?
Answer:
The actual width of the screen = 22.45 inches
Step-by-step explanation:
From the above question, we are given the following parameters
Diagonal = 27 inches
Height (Length) = 15 inches
Width = ???
To solve this question we would be using Pythagoras Theorem.
Diagonal² = Length² + Width²
Width² = Diagonal² - Length²
Width = √Diagonal² - Length²
Width = √27² - 15²
Width = √729 - 225
Width = √(504)
Width = 22.449944321 inches
Approximately to the nearest inch,
The actual width of the screen = 22.45 inches
15 cm
30°
B
OAB is a sector of a circle, centre O.
The radius of the circle is 15 cm.
The angle of the sector is 30°.
Calculate the area of sector OAB.
Leave your answer in its simplest form.
Step-by-step explanation:
change the angle to radian
then use formula 1/2 × π × radius square
help me please!! I need someone to explain this for me. I need to find the area of this trapezoid!!
Answer:
The answer is 50.
Step-by-step explanation:
A=(a+b)/2 x h is the formula you would use to find the area of a trapezoid.
So, (9+11)/2 times 5 would be 50.
I hope this helps you! :)
Find the perimeter of the figure to the nearest hundredth.
Answer:
61.68cm
Step-by-step explanation:
Perimeter of the semicircle = 2πr
r is the radius = 12/2 = 6cm
Perimeter of the semi circle = 2(3.14)(6)
Perimeter of the semi circle = 37.68cm
Adding the remaining sides of the polygon
Perimeter of the figure = 37.68+ 10 + 6 + 8
Perimeter of the figure = 61.68cm
Hence the perimeter of the figure is 61.68cm
James can purchase an item from several different stores or online. Which of the following is the
best buy for him?
F )Buy on line for $20 plus pay shipping and handling costs of $6
G )Buy on line for $18 plus pay shipping and handling costs of $5
H )Buy at a local store where the item's regular price is $24 but is on sale for 20% off.
J )Buy at a local store where the item's regular price is $23 but you have a $5 off coupon
Here is a rectangle
Work the perimeter of the rectangle
Answer:
42
Step-by-step explanation:
4+4+4+4+6+6+6+6 = 42
What equation do I write for a line that has a y intercept of 2 and is perpendicular to y=2/3x+4?
Answer:
y = -3/2x + 2
Step-by-step explanation:
The equation has the format y = mx + b where m is the slope and b is the y-intercept.
The question gives you the y-intercept, so b = 2.
As for the slope, you need the fact that perpendicular lines have slopes that are opposite ("negative") reciprocals of each other.
The slope of the line given in the question is 2/3. The opposite reciprocal of 2/3 is - 3/2.
The equation for the line is y = -3/2x + 2
Someone please help! I’ll give brainliest!!
Answer:
The correct answer is [tex]108\pi (yd^3)[/tex].
Step-by-step explanation:
The formula to find a volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex], where [tex]r[/tex] represents the radius and [tex]h[/tex] represents the height of the cone. By substituting the values in, you'll get that the volume of the cone is equivalent to [tex]\pi*6^2*\frac{9}{3}[/tex] = [tex]36\pi * 3[/tex] = [tex]108\pi (yd^3)[/tex], so that is the answer.
Answer:
108 cu. yd.
Step-by-step explanation:
V = [tex]\frac{\pi r^{2} h}{3}[/tex] = [tex]\frac{ \pi 6^{2} *9}{3}[/tex] = [tex]\frac{36(9)\pi }{3}[/tex] =[tex]\frac{ 324\pi }{3}[/tex] = 108 cu. yd.
PLS HELP, AM BEING TIMED, WILL give brainliest and it's a test
Subtract (7.85.1t) from (2.83.2t). Use the Commutative Property to show the difference another way. Choose the correct difference. A. 1.9t5 B. 51.9t C. 8.3t5 D. 58.3t
James walked 15 blocks. she stopped at the store 3/5 of the way into her walk. how many blocks did she walk to the store?
Answer:
9 blocksStep-by-step explanation:
3/5 of the way = distance to the store3/5*15 = 9 blocksShe walked 9 blocks to the store
Answer:
9 blocks
Step-by-step explanation:
In ΔUVW, w = 5.3 inches, v = 3.6 inches and ∠V=32°. Find all possible values of ∠W, to the nearest 10th of a degree. Answer: 51.3∘ and 128.7∘ DeltaMath
Answer:
Answer: 51.3∘ and 128.7∘
Step-by-step explanation:
In ΔUVW, w = 5.3 inches, v = 3.6 inches and ∠V=32°. Find all possible values of ∠W, to the nearest 10th of a degree.
We solve the above question using sine rule formula. This is given as:
w/sin W = v/sin V
w = 5.3 inches
v = 3.6 inches
∠V=32°.
5.3/sin W = 3.6/sin 32
Cross Multiply
sin W × 3.6 = 5.5 × sin 32
sin W = 5.5 × sin 32/3.6
W = arc sin (5.5 × sin 32/3.6)
W = 51.28° or 128.72°
Approximately
= 51.3° or 128.7°
Answer:
128.7
Step-by-step explanation:
deltamath