Answer:
3^6
3^4
Step-by-step explanation:
3.3.3.3.3.3=3^6
3.3.3.3.= 3^4
A piece of wood is 0.9 metres long.
It is cut into three unequal pieces.
The first piece is 0.2 metres longer than the second piece.
The third piece is 23 hundredths of a metre shorter than the second piece.
How long is each piece of wood?
Answer:
The length of the first piece is 0.51 m
The length of the second piece is 0.31 m
The length of the third piece is 0.28 m
Step-by-step explanation:
The question is a simultaneous equation with word problem
The total length of the wood = 0.9 m
The number of pieces the wood is cut into = 3
The length of the first piece = 0.2 m + The length of the second piece
The length of the third piece = The length of the second piece - 0.23 m
Let "y" represent the length of the second piece, let "x" represent the length of the first piece, and let "z" represent the length of the third piece, we have;
x = 0.2 + y...(1)
z = y - 0.23...(2)
x + y + z = 0.9...(3)
Therefore, by substitution, we have;
0.2 + y + y + y - 0.23 = 0.9
3·y - 0.03 = 0.9
3·y = 0.9 + 0.03 = 0.93
y = 0.93/3 = 0.31
y = 0.31
The length of the second piece = y = 0.31 m
From equation (1), we have;
x = 0.2 + y = 0.2 + 0.31 = 0.51
x = 0.51
The length of the first piece = x = 0.51 m
From equation (2), we have;
z = y - 0.23
z = 0.51 - 0.23 = 0.28
z = 0.28
The length of the third piece = z = 0.28 m.
a) Rotation, then reflection
b) Translation, then rotation
c) Rotation, then translation
d) Translation, then reflection
Work out the percentage change when a price of £40 is decreased to £18.
Which of the following equations has a solution that is negative?
a. – 0.4x + 4 = – 1.6
b. – 0.4(x + 1.6) = 1.6
c. – 0.4(– x + 1.6) = 1.6
d. – 0.4x – 4 + 1.6x = – 1.6
Answer:
b. – 0.4(x + 1.6) = 1.6
Step-by-step explanation:
The equation with negative solution is -
- 0.4(x + 1.6) = 1.6
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the equations as shown in the question.
The equation with the negative solution are -
- 0.4(x + 1.6) = 1.6
- 0.4x - 0.64 = 1.6
- 0.4x = 1.6 + 0.64
- 0.4x = 2.24
x = - (2.24/0.4)
Therefore, the equation with negative solution is -
- 0.4(x + 1.6) = 1.6.
To solve more questions on algebraic expressions, visit the link below-
brainly.com/question/1041084
#SPJ6
Solve:
p−316=−212
What Is P?
Answer:
P=104
Step-by-step explanation:
-212+316=104
therefore p=104
HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
yes his work looks good
step 1 multiply both side by 2
step 2 subtract both side by 6
step 3 divide both side by 5
:)
how do i answer this please?
Answer:
a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]
Step-by-step explanation:
a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]
Taking √3 & √5 common respectively,
[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]
[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]
[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]
Taking 4 common ,
[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]
6x + ? = -10x
? =
Does anyone know this.
Answer:
-16x
Step-by-step explanation:
6+(-16)=-10. If they all have "x", just combine like terms.
Answer:
?=-16x
Step-by-step explanation:
6x+?=-10x
-6x -6x
?=-16x
I hope this is right, I don't know how to get the exact value of ? but if the ? was a number I would be able to solve for x.
Equivalate a +4 when a=7
Answer:
11
Step-by-step explanation:
Plug in the variable into the equation. 7+4=11
Answer:
11
Step-by-step explanation:
a is 7 so 7 + 4 = 11
this should be the answer if not i dont know. sorry
Given: f(x)=x-7and h(x) = 2x+3
Write the rule for f(h(x))
f(h(x))= 2x-7
f (h(x))= 2x-4
f(h(x))= 3x-4
f(h(x))= 3x -7
The basic ratio of blue to red for paint is 4:7. How many quarts of blue paint should be mixed with 21 quarts of red paint to get purple?
help please ! so i can finish this assignment
Answer:
-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10
Step-by-step explanation:
which statement best describes this graph?
Answer:
the second one
Step-by-step explanation:
What is the value of a?
Answer:
9
Step-by-step explanation:
Translate the quadrilateral W(-2,2), X(-3,3), (-6,5), 2(-6,3)
using the transformation (x-2,y+3).
Answer:
New Coordinates W(-4, 5), X(-5, 6), (-8, 8), 2(-8,6)
help fast please :) :) :) :) :)
what is the value of y in the solution to the system of equations 5x-y=25 and x+4y=-10
Answer:
y=-3.571
Step-by-step explanation:
To get rid of the x's make the other x cancel out the other.
5x-y=25+(-5(x+4y=-10)=-21y=75= -3.571
Answer:
x+4y =10
5x-y =25
Step-by-step explanation:
x=10-4y
5(10-4y)-y =25
50-20y-y =25
50-21y = 25
-21y = 25-50
-21y =-25
y =25/21
Substitute y =25/21 in equation 1
x + 4(25/21) = 10
x +100/84 =10
x=10-100/84
Find
The value of x pls I need help
Answer:
x= 30
Step-by-step explanation:
The graph of the system of equations
x + 2y = 8
3x + 6y = 13
will give:
A. parallel lines
B.
lines that coincide
C.
perpendicular lines
D.
none of these
Answer:
A. parallel lines
You can also use the app desmos to help you graph equations.
Jason is installing new carpet in a room. The dimensions of the room are shown in the diagram. what is the area of the floor?
Plot two points that are 8 units from Point B and also share the same x-coordinate as Point B. y
Answer:
y
Step-by-step explanation:
Answer: I don't know I'm sorry
answers for both boxes please
please answer this, thank you
Answer:
3
Step-by-step explanation:
I have showed the steps in the attached image.
please please pleaseeeee help me!!
Answer:
wanna see my pokemon cards
Step-by-step explanation:
Work out the value of x
Answer:
x=35
Step-by-step explanation:
A pentagon's sum of interior angles is 540 degrees.
Now, we can set up an equation.
(4x - 57) + (3x + 15) + 4x + (2x - 3) (3x + 25) = 540
Combine similar terms
16x - 20 = 540
16x = 560
x = 35
Can someone help me solve all of these problems for brainliest and a heart? please and thank you!
Answer:
Top Right Problem: PACKAGE #2 and $0.80
Bottom left: BAND and $0.05
Bottom Right: PEPSI and $0.05
What number is 5/8 more than 3/16 ? Show how you calculated your answer.
Answer:
10/16
Step-by-step explanation:
Find the common factor between both
5/8 = 10/16
10/16 > 3/16
Question 1
Simplify
5y - 2y + y + y
Answer:
5y
Step-by-step explanation:
Write a equivalent expression for (4n + 14) + (5 + 8n)
Answer:
= 12n + 19
Step-by-step explanation:
In ΔCDE, \text{m}\angle C = (4x-16)^{\circ}m∠C=(4x−16) ∘ , \text{m}\angle D = (6x-1)^{\circ}m∠D=(6x−1) ∘ , and \text{m}\angle E = (4x-13)^{\circ}m∠E=(4x−13) ∘ . Find \text{m}\angle C.M∠C.
Answer:
m∠C = 44°
Step-by-step explanation:
In ΔCDE,
m∠C=(4x−16) ∘
m∠D=(6x−1) ∘
m∠E=(4x−13) ∘ .
The sum of angles in a triangle = 180°
Step 1
We solve for x
m∠C + m∠D + m∠E
(4x−16)° + (6x−1)° + (4x−13)° = 180°
4x - 16 + 6x - 1 + 4x - 13 = 180°
4x + 6x + 4x -16 - 1 - 13 = 180°
14x - 30 = 180°
14x = 180+ 30
14x = 210
x = 210/14
x = 15
Step 2
Find m∠C
m∠C = (4x−16)°
m∠C = (4 × 15 - 16)°
m∠C = (60 - 16)°
m∠C = 44°