Answer:
5x + 15x²
Step-by-step explanation:
Given the expression 5x(1+3x)
Generally, according to the distribution rule,
A(B+C) = AB + AC
A is distributed over B and C
Similarly,
5x(1+3x)
= 5x(1) + 5x(3x)
= 5x + 15x²
Hence the expression required is 5x + 15x²
Evaluate the expression when m=4 and n=31.
n-3m
Answer:
19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
m = 4
n = 31
n - 3m
Step 2: Evaluate
Substitute in variables: 31 - 3(4)Multiply: 31 - 12Subtract: 19Hi there!
»»————- ★ ————-««
I believe your answer is:
19
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\n-3m;\text{ } m= 4, n = 31\\---------\\\rightarrow 31-3(4)\\\\\rightarrow 31 - 12\\\\\rightarrow \boxed{19}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PLEASE HELP IMAGE IS BELOW!!
Answer:
Number of small boxes shipped = 7
Number of large boxes shipped = 15
Step-by-step explanation:
Let the number of small boxes = s
And the number of large boxes = l
Weight of small box = 25 pound
Weight of the large box = 50 pounds
Total weight of the shipment = 925 pounds
Therefore, equation for the weight of shipment will be,
25s + 50l = 925
s + 2l = 37 ----- (1)
Total number of boxes shipped = 22 boxes
Therefore, equation will be,
s + l = 22 ------(2)
Subtract equation (2) from equation (1)
(s + 2l) - (s + l) = 37 -22
l = 15
From equation (2)
s + 15 = 22
s = 7
Therefore, number of small boxes shipped = 7
Number of large boxes shipped = 15
What is the image point (-5,3) if it is translated 3 units right and 2 units down
Our point is at -5, 3. -5 represents its x coordinate, and 3 represents its y coordinate. 3 units right makes it -2, while 2 units down makes it 1. Final coords of the point are (-2,1).
Answer:
given point is (-5,3)
right unit means positive and down unit means negative so,
image of (-5,3)---------->(-5+3-2,3+3-2)
=>(-7+3,6-2)
=>(-4,4) ANS.
I need helpppppp cause I’ll make ur bra list of however u spell it
Answer:
DBH
Step-by-step explanation:
#1
Initial Price = 100% = 18
Discount = 15% = x
0.15 ( 18 ) = 0.15 * 18 = 2.7
Discount = $2.7 or $2.70
Letter = D
#2
Initial Price = 100% = 450
Markup = 20% = x
0.20 ( 450 ) = 1/5 of 450 = 90
Markup = $90
Letter = B
#3
Initial Payment = 100% = 37.60
Tip = 15% = x
0.15 ( 37.60 ) = 0.15 * 37.60 = 5.64
Tip = $5.64
Letter = H
Your Code = DBH
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The diagonals of a rectangle are AC = 5x-4 and BD = 7x-18.
Solve for x
Answer:
x = 7
Step-by-step explanation:
The diagonals of a rectangle are congruent , so
BD = AC , that is
7x - 18 = 5x - 4 ( subtract 5x from both sides )
2x - 18 = - 4 ( add 18 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
Which of the following is the solution to the inequality below?
-6(4 - x) S-4(x + 1)
O A. x210
O B. x5 10
O C.x22
O D. x52
Answer:
x≤2
Step-by-step explanation:
-6(4 - x) ≤-4(x + 1)
Distribute
-24 +6x≤ -4x-4
Add 4x to each side
-24 +6x+4x≤-4x-4+4x
-24 +10x≤ -4
add 24 to each side
-24+10x+24≤-4+24
10x≤20
Divide by 10
10x/10 ≤20/10
x≤2
Answer:
D. x ≤ 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-6(4 - x) ≤ -4(x + 1)
Step 2: Solve for x
[Distributive Property] Distribute -6: -24 + 6x ≤ -4(x + 1)[Distributive Property] Distribute -4: -24 + 6x ≤ -4x - 4[Addition Property of Equality] Add 4x on both sides: -24 + 10x ≤ -4[Addition Property of Equality] Add 24 on both sides: 10x ≤ 20[Division Property of Equality] Divide 10 on both sides: x ≤ 2The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: X= 25 degrees
Step-by-step explanation:
A triangle is 180 degrees.
115+40=165
180-165=25 degrees
can someone please help
Answer:
x = 13
Step-by-step explanation:
→ Remember the amount of degrees a triangle sums to
180°
→ Make an equation
8x - 44 + 8x - 44 + 8x - 44 = 180
→ Simplify
24x - 132 = 180
→ Add 132 to both sides
24x = 312
→ Divide both sides by 24
x = 13
Which of the following functions is graphed below?
Answer:
Step-by-step explanation:
The answer is D because the parabola is an empty circle and is positive which would mean its greater than 1 and the line has a solid point and is negative which means less than or equal to.
find the quotient of this
Answer:
3.02 is the answer for this question if the answer is correct plz mark me as brainliest
Answer:
3.02
Step-by-step explanation:
51.34 ÷ 17 = 3.02
Lily's car has a fuel efficiency of 8 liters per 100 kilometers. What is the fuel efficiency of Lily's car in kilometers per liter? km L
Answer:
The fuel efficiency of Lily's car in kilometers per liter is 12.5 km/litre.
Step-by-step explanation:
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = - 16t^2 + 48t where t equals the time in seconds and the h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? Help please!!!
Answer:
x = 3/2
The axis of symmetry is located at the vertex,
which is the also the highest point in this problem...
the x component of the vertex can be calculated as -b/2a = -48/-32 = 24/16 = 6/4 = 3/2
x = 3/2
Step-by-step explanation:
Please solve 5 and 6 only
Answer:
5. 80%
6.1.05 kilograms
Step-by-step explanation:
5. Plugging in the values into the formula, we get:
% difference = |60000 - 140000(60000 + 140000)/2| × 100% =
|60000-140000200000 / 2| × 100% =
|-80000100000| × 100% =
80000100000 × 100% =
0.8 × 100% =
80%
If this helps you, please mark brainliest!
Have a nice day!
find the surface area and volume of each figure Write an equation for each of the following images giving brainliest i really need this please help
Answer:
1) S.A = 108, V = 72; 2) S.A = 68, V = 60; 3) S.A = 40, V = 58
Step-by-step explanation:
1) Surface area of a cuboid = 2(lb + bh + hl)
= 2(6*4 + 4*3 + 3*6)
= 2(24 + 12 + 18)
= 2*54
= 108 square units ------- (1)
Volume of a cuboid = lbh
= 6*4*3
= 72 cube units ----------- (2)
2) Surface area = (1) - specific surface area
Specific surface area
=2(2*6 + 6*1 + 2*1)
=2(12 + 6 + 2)
=2*20
=40 square units
Therefore surface area = 108 - 40 = 68 square units --------- (3)
Volume = (2) - specific volume
Specific volume
=l*b*h
=2*6*1
=12 cube units
Volume = 72 - 12 = 60 cube units ---------- (4)
3) Surface area = (3) - specific surface area
Specific Surface Area
2(2*4 +2*1 + 4*1)
2(8 + 2 + 4)
2(14)
28 square units
Surface area = 68 - 28 = 40 square units
Volume = (4) - specific volume
Specific volume
= 1*2*4
= 8 cube units
Volume = 60 - 8 = 52 cube units
I really hope that u understood all these shortcuts
Please mark as brainliest
Thank You
PLEASEE HELPP !
Over which interval is the graph of f(x) = { x2 + 5x +
10
6 increasing?
8
6 • (0,6)
4
(-6.5, 0)
0 (-5)
(0, -5)
0 ( 0, -6.5)
2
-10 48 -6 4
2
4
6
8
10
X
4.
(-5, -6.5)
16
-8
w 10
Answer:
Option B
Step-by-step explanation:
For increasing function in the interval (a, b),
"If we draw a tangent at any point on the graph in the given interval (a, b), slope of the tangent drawn will be positive"
Given function is,
[tex]f(x)=\frac{1}{2}x^2+5x+6[/tex]
In the interval (-∞, -5),
Graph is moving downwards therefore, tangents drawn at any point will have a negative slope and the function will decrease in this interval.
In the interval (-5, ∞),
In the given interval any tangent drawn at any point will have a positive slope and the function will be increasing.
Therefore, interval in which the function is increasing → (-5, ∞)
Option B is the answer.
The interval in which the function decreases is (-∞, -5).
In which interval the function decreases?The function decreases when, reading from left to right, the graph of the function goes downwards.
By looking at the graph, we can see that the graph goes downwards on the interval negative infinity and -5
Then we conclude that the function decreases on the interval (-∞, -5).
If you want to learn more about functions:
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I need help............
Problem 35
The bar graph is shown below
You simply draw various rectangles such that the heights represent the frequency of each animal type.
Eg: there are 20 elephants, so the "elephant" bar is 20 units tall.
You can make the bar graph by hand, or use spreadsheet software. I recommend going with software (if you can).
=======================================================
Problem 36
1 book = 20 mm thickness
5 books = 5*20 = 100 mm thickness
1 paper = 0.016 mm thickness
5 papers = 5*0.016 = 0.08 mm thickness
total thickness = 100+0.08 = 100.08 mm
Answer: 100.08 mm=======================================================
Problem 37
121/11 = 11
121 = 11*11
If we say 11+11+11+...+11, and have 11 copies of these values added, then we get to a sum of 121
This is probably the easiest way to get the answer assuming repeated values are allowed.
You can stop here if your teacher allows you to use repeated values. If not, then move onto the next section.
-----------
If your teacher requires you to add 11 different numbers, then you can follow this procedure
Write out eleven copies of "11" in a sequenceSubtract 2 from the first "11" (to get 9) and add it to the last copy of "11" (to get 13)Subtract 4 from the second "11" (to get 7) and add it to the second to last copy of "11" (to get 15)Subtract 6 from the third "11" (to get 5) and add it to the third to last copy of "11" (to get 17)Subtract 8 from the fourth "11" (to get 3) and add it to the fourth to last copy of "11" (to get 19)Finally, subtract 10 from the fifth "11" (to get 1) and add it to the fifth to last copy of "11" (to get 21)After carefully following those steps, you'll get this sequence (in the exact order shown):
{9, 7, 5, 3, 1, 11, 21, 19, 17, 15, 13}
There are three properties to notice of this sequence
It's composed of two decreasing arithmetic sequences {9, 7, 5, 3, 1} and {21, 19, 17, 15, 13}The 11 in the middle hasn't been changed from the original sequence of nothing but "11"s.You should find that the terms of this new sequence add to 121.That sequence we got sorts to {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21}
and we can say 1+3+5+7+9+11+13+15+17+19+21 = 121
Answer: 1+3+5+7+9+11+13+15+17+19+21 = 121Which expression is equivalent to log Subscript 5 Baseline (StartFraction x Over 4 EndFraction) squared?
Answer:
[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]
Step-by-step explanation:
Given
[tex]\log_5(\frac{x}{4})^2[/tex]
Required
The equivalent expression
To do this, we apply the following law of indices:
[tex]\log_a(b)^c = c\log_a(b)[/tex]
So, we have:
[tex]\log_5(\frac{x}{4})^2 = 2\log_5(\frac{x}{4})[/tex]
To further simplify:
[tex]\log(\frac{a}{b}) = \log(a) - \log(b)[/tex]
So, we have:
[tex]\log_5(\frac{x}{4})^2 = 2(\log_5(x) - \log_5(4))[/tex]
Open brackets
[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]
Answer:
C.
Explanation:
Edge 2021
Select the two values of x that are roots of this equation. x2 + 3x - 3 = 0
A. X- 2
B. X = -3 +721 2
C. x. -3-1
D. x. -3-17
Answer:
B and D
Step-by-step explanation:
30 Yuri has two plum trees, A and B. in his garden
А
B
Tree A produces 20kg of plums.
Tree B produces 10% more than tree A.
How many kilograms of plums in total does Yuri get from the trees?
Show your working
Answer:
42kg
Step-by-step explanation:
We are given the amount of plums produced from Tree A. We simply need to find the amount produced by Tree B and add the two numbers up.
Step 1:
Tree B produces 10% more than Tree A, which produces 20kg of plums:
[tex]B=\frac{110}{100} *\frac{20}{1} \\\\B=\frac{110}{5}=\\\\B=22[/tex]
Ok! Tree B produces 22kg of plums. Let us find the total amount of plums Yuri gets from both trees.
Step 2:
[tex]Total=A+B\\\\Total=20+22\\\\Total=42[/tex]
Yuri gets 42 kg of plums from the trees.
I hope this helps! Let me know if you have any questions :)
2. suppose the ping pong balls in shoe box a are larger than those in shoes box b would be easy to tell which one has the greater volume? why?
Answer:
Box A have greater volume because it will be having more mass than Box B
express as a single faction
[tex] \frac{x} {4} + \frac{x}{4} [/tex]
[tex] \: \: \: \: \: \: \huge \rm{answer :} \: { \boxed{ \rm\frac{x}{2} }}[/tex]
[tex] \huge \blue{ \boxed{ \pink{\boxed{ \blue{\rm{armed} \: \pink{account}}}}}}[/tex]
[tex] \huge \rm\frac{x} {4} + \frac{x}{4} \\ \\ \huge \rm\frac{x + x}{4} \\ \\ \huge \rm \frac{2x}{4} \\ \\ \huge \blue{ \boxed{ \pink{ \rm \: \frac{x}{2} \: }}}[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
I hope you understood!✏
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
[tex] \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}[/tex]
who was found the math
[tex]\color{red}{==========================}[/tex]
✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ
✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ
Find the value of x in the isosceles triangle shown below.
Answer:
22.18 = x
Step-by-step explanation:
a^2 + (b)^2 = (x/2)^2
a = sqrt(74)
b = 7
x/2 = ?
(74)[^1/2]^2 = 74
b^2 = 7^2 = 49
74 + 49 = (x/2)^2 Substitute into a^2 + b^2 = c^2
123 = (x/2)^2 Combine like terms
(123^0.5) = x/2 Take the square root of both sides.
11.09 = x/2 Multiply both sides by 2
11.09*2 = x
22.18 = x The full length of the base of the triangle is 22.18
Answer: C
Step-by-step explanation: We only need to find the value of one of the x so just use Pythagorean theorem but simplified to do it in one step which is sqrt(4^2+6^2) which gives us sqrt(52).
a trapezoid has parallel sides of length 26 mm and 44 mm. its other sides measure 10 mm and 17 mm. what is the length of the bimedian joining the two non parallel sides?
Answer:
35 mm.
Step-by-step explanation:
That would be (26 + 44)/2
= 70/2
= 35 mm.
a) vẽ đồ thị hàm số y=2x-3(d1)
b) tìm toạ độ giao điểm B của (d1) với (P):y=x^2
c)tìm m để đường thẳng (d2):y=(m-1)x-m-3 đi qua B
Answer:
Step-by-step explanation:
What is the slope of the line graph above?
Answer the question in the picture
Answer:
(10^3)^2
Hope this answer is right!!
Step-by-step explanation:
(10^3)^2
(10)^3*2
(10)^5
How many kilograms equals 984.2 grams?
Which list of numbers can be described by the following rule?
A. 33,49,67
B.65,49,33
C.33,49,65
D.65,48,33
Explanation:
first term = 33
second term = first term + 16 = 33+16 = 49
third term = second term + 16 = 49+16 = 65
We're adding 16 to each term to get the next term.
Answer:
c is correct
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3/2x-4=20
Solve for x
Answer:
x= 12
Step-by-step explana
2x = 20 + 4
2x= 24
x= 2 4/2
x= 12