Step-by-step explanation:
[tex](2x - 6) \frac{3}{2} = 21 - 4x \\ \\ lcm = 2 \\ 2\times (2x - 6) \frac{3}{2} = (21 \times 2) -( 4x \times 2) \\ \\ 3(2x - 6) = 42 - 8x \\ 6x - 18 = 42 - 8x \\ 6x + 8x = 42 + 18 \\ 14x = 60 \\ x = \frac{30}{7} = 4.286(2.d.p)[/tex]
Side XY is of length 11b .
Side XZ is of length 2a+3b.
Side YZ is of length a The triangle is isosceles, with XY=XZ
The perimeter of the triangle is 91. Use algebra to find the values of a and b.
Answer:
a = 14, b = 3.5
Step-by-step explanation:
XZ = XY , then
2a + 3b = 11b ( subtract 3b from both sides )
2a = 8b ( divide both sides by 2 )
a = 4b
The perimeter is 91 , so
11b +2a + 3b + a = 91
14b + 3a = 91 ← substitute a = 4b
14b + 3(4b) = 91
14b + 12b = 91
26b = 91 ( divide both sides by 26 )
b = 3.5
and a = 4b = 4 × 3.5 = 14
The sum of the present ages of a son and his father is 60 years. Six years ago, father's
age was five times the age of the son. After 6 years, what will be son's age?
Answer:
15 years old
Step-by-step explanation:
The equation for their present ages is s+f=60. Six years ago would make it 54 and since the father's age six years ago was 5 times his son's the equation would be s+5s=54 (add the common terms) 6s=54. 54/6 is 9. So the son's age is 9, currently. In six years, the kid will be 15.
Write 27 as a power and as repeated multiplication
Answer:
3*3*3
3^3
Step-by-step explanation:
27 = 9*3
= 3*3*3
= 3^3
is 41 x 10 to the power of 6 = 41,000,000
Answer: yes 41 x 10 to the power of 6 is 41000000
your correct.
Step-by-step explanation: Mark me brainliest plz
Which of the two numbers -0.514 and -0.5148 is larger?
The larger number is
Answer:
larger number is -0.514
Step-by-step explanation:
-0.514 is greater than -0.5148 by 0.0008
Oliver bought 8 bags of marbles.There we're 7 green and 7 blue in each bag.How many marbles did he buy in total? use the doubles strategy to show your work.
Answer:
112
Step-by-step explanation:
1 bag- Has 14 marbles in all
So if you multiply 14 times 8 total bags you get 112.
Select the best answer for the question.
17. What is the sum of 1/9, 2/3, and 5/18?
O A. 4/15
O B. 12/g
O C. 8/30
O D.
19/18
MA .
Lovi
AL HADIR
Answer: D 19/18
Step-by-step explanation: First you have to make a common denominator of 18. 1/9 becomes 2/18. 2/3 becomes 12/18. 5/18 stays the same. Then you have to add the numerators and you get 19/18.
What's (6+5i)(6-5i) using the foil method
Answer:
Step-by-step explanation:
[tex]Remember:\\(a+b)(a-b)=a^2-b^2\\\\(6+5i)(6-5i)=6^2-(5i)^2=36-(-1)*25=36+25=61\\[/tex]
If n( μ ) = 100, n(A) = 50, n(B) = 20 and n( ) A B ∩ =10, then ( ) c nAB ⎡ ⎤
Step-by-step explanation:
Correct option is
A
50
n(AΔB)=n(A∪B)−n(A∩B) [As n(A∪B)=n(A)+n(B)−n(A∩B)]
=n(A)+n(B)−2n(A∩B)
=50+20−2(10)=50
What is the value of x?
A cube has a volume of 125 cubic inches. What is the length of each edge?
Enter your answer in the box.
(Needs to be in inches)
The formula for the volume of a cube is V = a^3.
We know the volume is 125 cubic inches.
125 = a^3
Take the third square root
5 = a
The length of each edge is 5 inches
Answer:
So the length of the edge of a cube with a volume of 125 is 5 inches
Step-by-step explanation:
All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power.
So if we take the edge of the cube to be of length x, then:
Volume=x3
125=x3
5=x
When the length of a side of a square is increased by 5, the perimeter of the new square is 60. What equation can be used to find the length of the side of the original square?
Answer:
The answer will be 4(x+5)=60
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x - 5)?
Answer:
The second number line would be represented by the equation
Find the y-intercept and x-intercept of the line. 5x-8y=14
Answer:
x-intercept = 14/5
y-intercept = 7/4
Step-by-step explanation:
To find the value of an intercept (x/y) of an equation like this, simply set the other variable to 0 and divide both sides by the coefficient of the variable you're trying to find.
5,878+596 plz help me
Answer:
The answer is 6,474
HELP PLZZZZZZZZZZZZZZ
what is the equation of a line parallel to y = -1/2x + 6 that passes through (-4, 1)
Answer:
y = -1/2x - 1
Step-by-step explanation:
A line that is parallel to another will have the same slope. All we need to do is find the new y-intercept. We can do that by using the slope intercept form equation [ y = mx + b ].
1 = -1/2(-4) + b
1 = 2 + b
-1 = b
Now we can input the information we know and solved for back into the formula.
y = -1/2x - 1
Best of Luck!
The following is the correct way to show the product for 0.386 × 6.1:
Multiplication standard algorithm of 0.386 times 6.1. There is a solid line underneath the 6.1 that yields 386. Underneath the 386 there is a plus 23160. There is a line underneath the 23160 with 2.3546 underneath it.
is it
True
False
Answer:
In my point of view It's true
Answer:Ture
Step-by-step explanation: dont have one jsut makes the most sense im a very smart 14 y/o
solve this equation 2(y + 2) = 3(y - 7)
Answer:
[tex]2(y + 2) = 3(y - 7) \\ 2y + 2 \times 2 = 3y - 3 \times 7 \\ 2y + 4 = 3y - 21 \\ y \: terms \: togther \\ 3y - 2y = 4 + 21 \\ y = 25[/tex]
[tex]thank \: you[/tex]
35
10
10
15
10
30
15
10
60
Explain why the student's statement about the area is incorrect.
Answer:
Statement is?
Step-by-step explanation:
As soon as you finish the question!
Three friends all live on the same street that runs west to east. Ben lives 7 blocks from Al. Carl lives 4 blocks from Ben. If the street is represented by a number line and Al's house is located at 0, what are the possible locations for Carl's house?
Answer:
Carl is located in 11
Step-by-step explanation:
I. If the street runs west to east
AI is 0
Ben is -7
Carl is -11
But there's no negative in address in the real world
so Cars is located in 11
For discuss, leave comment below.
solve for x, need help!
Answer:
Cosθ =Adjacent / hypotenuse
[tex] \cos(45) = \frac{6}{x} \\ \frac{1}{ \sqrt{2} } = \frac{6}{x} \\ x = 6 \sqrt{2} [/tex]
Please Help!!! Solve for xxx in the diagram below.
Answer:
40 is your answer
Step-by-step explanation:
3x= 120 ( vertically opposite angles)
x=120/3
x=40
solve for n if nC2=nC4
Answer:
Ans is 8
Hope it is helpfully.Have a nice day.What is the volume of this cylinder shown below?
Answer: 138.16 cubic feet (choice H)
This volume is approximate and occurs when you use pi = 3.14
==========================================================
Work Shown:
r = 2 ft = radius
h = 11 ft = height
V = volume of cylinder
V = pi*r^2*h
V = pi*2^2*11
V = pi*4*11
V = pi*44
V = 44pi .... exact volume in terms of pi
V = 44*3.14
V = 138.16 .... approximate volume and the final answer
Answer:”H”
Step-by-step explanation: just trust the process
Solve the equation. Check your solution.
Answer:
x = 5
Step-by-step explanation:
x^2/(x + 5) = 25/(x+5) Subtract the right side from both sides.
x^2/(x + 5) - 25/(x + 5) = 0
x^2 - 25
======= = 0
x + 5
(x + 5)(x - 5)
============= = 0
(x + 5)
Cancel x + 5 in the numerator and denominator.
x - 5 = 0
x = + 5
Does it check?
x^2/(x + 5) = 25/(x + 5)
x = 5
5^2/(10) = 25/10
25/10 = 25/10 Yes it checks.
Use the number line below to find the midpoint of segment AB
midpoint of segment AB
Answer:
-4 is the mid point
Step-by-step explanation:
-4 is in the middle of A and B
From the equation, find the axis of symmetry of the parabola.
y = negative 4 x squared + 24 x minus 35
The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A quadratic equation is in the form:
y = ax² + bx + c
Where a, b and c are constants.
Given the equation:
y = -4x² + 24x - 35
From the graph of y = -4x² + 24x - 35, the axis of symmetry of the parabola is at x = 3
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Lizzie came up with a divisibility test for a certain number $m \neq 1$:
Break a positive integer n into two-digit chunks, starting from the ones place. (For example, the number 354764 would break into the two-digit chunks 64, 47, 35.
Find the alternating sum of these two-digit numbers, by adding the first number, subtracting the second, adding the third, and so on. (In our example, this alternating sum would be 64-47+35=52.
Sorry for the big problem but I really need help with this :grimacing:
Answer:
101
Step-by-step explanation:
The value of 2^3 + 3^3 = ___.
Answer:
35
Step-by-step explanation:
2^3+3^3
8+27
35