Answer:
The value of [tex]x[/tex]:
[tex]x = 44[/tex]
Step-by-step explanation:
Find the value of [tex]x[/tex]:
[tex]2(x + 10) = 3(x-8)[/tex]
Use Distributive Property:
[tex]2(x + 10) = 3(x-8)[/tex]
[tex]2x +20 = 3x - 24[/tex]
-Subtract both sides by [tex]3x[/tex] and combine both [tex]2x[/tex] and [tex]-3x[/tex] together:
[tex]2x +20 - 3x = 3x - 3x - 24[/tex]
[tex]-x + 20 = -24[/tex]
-Subtract both sides by [tex]20[/tex]:
[tex]-x + 20 - 20 = - 24 - 20[/tex]
[tex]-x = -44[/tex]
Divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} = \frac{-44}{-1}[/tex]
[tex]x = 44[/tex]
So, the final answer would be [tex]x = 44[/tex].
Convert 237 into binary system
Answer:
237 in binary is 0b11101101
Please see the attached picture for full solution
hope it helps....
Good luck on your assignment
what is cos 60 degrees
Answer:
0.5
Step-by-step explanation:
What is the greatest decimal place value?
Answer:
Millionths
Step-by-step explanation:
It is the fartherst decimal place that thier is.
Can someone please help me it’s for geometry thank you :)
Answer:
QST = 2x= 2*20 = 40°
Step-by-step explanation:
RSQ+QST= RST
we know that RST is 124
So,
84+2x= 124
Bringing 84 to the other side it becomes negative
2x= 124-84
= 40
Therefore,
x= 40/2
= 20 °
Here's your answer :)
how do you know if two line segments are perpendicular
A. Their slopes are equal
B. The slope of one is the negative of the slope of the other
C. Their slopes are negative reciprocals
D. Their slopes are reciprocals
Answer: C. Their slopes are negative reciprocals
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other.
Select all the equations where a=8 is a solution.
Choose 3 answers:
A
a+11=15
B
1=8÷a
C
15+a=23
D
42=7a
E
a-5=3
Answer:
B,C, E
Step-by-step explanation:
A
a+11=15
8+11 = 19
false
B
1=8÷a
1 = 8÷8
1=1 true
C
15+a=23
15+8 = 23
23 = 23
true
D
42=7a
42 = 7*8
42 = 56
false
E
a-5=3
8-5 = 3
3=3 true
Find x in this proportion. x/3 = x+2/5 x =
[tex]x = 3 \\ solution \\ \frac{x}{3} = \frac{x + 2}{5} \\ or \: 5x = 3(x + 2)(cross \: multiplication) \\ or \: 5x = 3x + 6 \\or \: 5x - 3x = 6 \\ or \: 2x = 6 \\ or \: x = \frac{6}{2} \\ x = 3 \\ hope \: it \: helps[/tex]
Charlotte has been working for her company for x years. Travis has been working for the same company exactly 3 years longer than Charlotte. What is the range of the relationship?
Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have,
Charlotte has been working for her company for x years.
Travis has been working for the same company exactly 3 years longer than Charlotte.
This means that Travis have 3 years extra than Charlotte.
So, the range of the relationship is
y>3.
Learn more about Inequality here:
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Arturo, Pedro y Jorge son hermanos y duermen en la misma habitación. Su papá les compró una pintura para que entre los tres pinten su cuarto. Arturo como es el más grande tiene que pintar 1/2 del total de la habitación, Pedro 3/8 y Jorge como es el más pequeño pintará la última parte.
¿Que fracción de la habitación pintará Jorge?
Porfís ayudenme es para mañana
Answer:
1/8
Step-by-step explanation:
1/2= 4(1/2) = 4/8
4/8+3/8= 7/8
7/8 + 1/8 = 1
Suppose that a particular experiment will have outcome “A” with probability 13 and outcome “B” with probability of 23. If you were to perform this experiment 90 times, approximately how many times would you expect outcome “B” to occur
Need help thanks :) The question is down below
Answer:
n=63
x=117
r=63
p=117
w=117
m=117
k=117
Step-by-step explanation:
If you start with the given angle of 63 p would have to be 117 because 180-63 is 117. This would make r 63 because you would use the 117+63 to make a 180 degree angle. w will then be made 117 because it's vertical to p and vertical angles are congruent. we can find x by using corresponding angles. x= k because they are corresponding angles as well. n would be 63 because of k being 117 and because of vertical angles m is 117.
Hope this helps :)
If x is 5, then 6x = _____
Answer:
30
Step-by-step explanation:
6(5)=30
// have a great day //
Answer:
30
Step-by-step explanation:
I will mark you brainliest!!!! Which statement is true for f(x)=6•(7)x?
Answer:
D
Step-by-step explanation:
A. The domain of this function is infinite, since x can be any number.
B. To find the y intercept, you need to set x to 0. 7^x will become 1, and 6*1=6, so the y intercept is (0,6).
C. This function is not always decreasing. For instance, when x is positive, it exponenentially increases.
D. As I said before, the y intercept of the function is (0,6), meaning that this statement is correct.
Hope this helps!
Which of the following is the factored form of the quadratic *
12x^2+5x-2=0
1.(4x - 1)(3x - 2)
2.(4x - 1)(3x + 2)
3.(4x + 1)(3x - 2)
Answer:
2
Step-by-step explanation:
[tex]12x^2+5x-2=\\\\(4x-1)(3x+2)[/tex]
You can check this by working backwards and expanding:
[tex](4x-1)(3x+2)=\\\\12x^2-3x+8x-2=\\\\12x^2+5x-2[/tex]
Hope this helps!
Please help with this question
Answer:
a) 50π cm^2
b) π/8
Step-by-step explanation:
a) The formula for the area of a semicircle is ...
A = (1/2)πr^2 = (1/2)π(d/2)^2 = (π/8)d^2
For a diameter of 20 cm, the area is ...
A = (π/8)(20 cm)^2 = 50π cm^2 . . . . . the area of the semicircle
__
The formula for the area of a quarter circle is ...
A = (1/4)πr^2
For a radius of 20 cm, the area is ...
A = (π/4)(20 cm)^2 = 100π cm^2 . . . . . the area of the quarter circle
__
The shaded area is the difference of the areas of the quarter circle and semicircle:
shaded area = (100π cm^2) -(50π cm^2)
shaded area = 50π cm^2
__
b) The ratio of the shaded area to the square area is ...
shaded area / square area = (50π cm^2)/(20 cm)^2 = π/8
Practice:
1. What is the product of – 2x^3 + 8 and - 4x?
2. What is the product of yx^2and (6y^2x - yx)?
WRITE THE ANSWERS TO YOUR WORK IN HERE!!
The height of the tower is five times the height of the building. If the tower is 52 meter taller than the building.then find the height of the tower
Answer:
Let, height of the Building = x
Height of the Tower = y
Height of the tower is 5 times from height of the building = y = 5x
Height of the tower is 52 meter taller than the building = y-x = 52
put 5x instead of y in the equation y-x=52
5x-x=52
4x=52
x=52/4
x=13 meter
y=5x
y=5(13)
y=65 meter
A candy company provides samples of fudge and truffles to their store visitors. The manager authorized the store to distribute up to 50 pieces of candy. The store expects to give away at least 20 pieces of fudge and at least 15 truffles
Answer:
hdhufhduh
Step-by-step explanation:
Find the area of a circle with diameter,
d
= 10m.
Give your answer in terms of
π
.
Answer:
A = 25pi m^2
Step-by-step explanation:
We know the diameter, we need the radius
r = d/2
r = 10/2 = 5
The area of a circle is given by
A = pi r^2
A = pi (5)^2
A = 25pi m^2
What is the value of n in the equation (2n + 4) + 6 = -9 + 4(2n + 1)?
n =
the answer is just 1.
Answer:
n=2.5
Step-by-step explanation:
(2n + 4) + 6 = -9 + 4(2n + 1)2n+10=-9+8n+42n+10=8n-58n-2n= 10+56n=15n=15/6n=2.5Answer:
The answer is 1.
Step-by-step explanation:
Work out the value of 5² - 19 x 24
Answer:
5² - 19 * 24
= 25 - 456
= -431
Answer:
-431
Step-by-step explanation:
25-19x24
25-456
-431
f(1)=3
f(n)=f(n−1)+5.5
f(3)=
Answer:
f(3) = 14
Step-by-step explanation:
Using the recursive formula and f(1) = 3 , then
f(2) = f(1) + 5.5 = 3 + 5.5 = 8.5
f(3) = f(2) + 5.5 = 8.5 + 5.5 = 14
Answer:
14
Step-by-step explanation:
write the equation in vertex form: Vertex is (1.-3) and passes through the point (-1,5)
Answer:
y = 2(x - 1)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, - 3), thus
y = a(x - 1)² - 3
To find a substitute (- 1, 5) into the equation
5 = a(- 1 - 1)² - 3
5 = (- 2)²a - 3 ( add 3 to both sides )
8 = 4a ( divide both sides by 4 )
a = 2
Thus
y = 2(x - 1)² - 3 ← in vertex form
A coin jar contains 10 quarters, 6 dimes, and 8 nickels. Find the probability that a dime is chosen at random from the jar and then a nickel is chosen at random from the jar.
Answer: 6 to 24
Step-by-step explanation:
9.3 × 10^{7} - 3.4×10^{6} = ?
Answer:
8.96 x 10^7
Step-by-step explanation:
9.3 x 10000000 - 3.4 x 1000000 = 93000000-3400000 = 89600000
89600000 can also be written as 8.96 x 10^7
What is the difference?
StartFraction x + 5 Over x + 2 EndFraction minus StartFraction x + 1 Over x squared + 2 x EndFraction
Answer:
[tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x+5}{x+2}[/tex] - [tex]\frac{x+1}{x^2+2x}[/tex] ← factor denominator
= [tex]\frac{x+5}{x+2}[/tex] - [tex]\frac{x+1}{x(x+2)}[/tex]
We require the fractions to have a common denominator.
Multiply numerator/denominator of first fraction by x
= [tex]\frac{x(x+5)}{x(x+2)}[/tex] - [tex]\frac{x+1}{x(x+2)}[/tex]
Subtract terms on numerator leaving the common denominator
= [tex]\frac{x^2+5x-x-1}{x(x+2)}[/tex]
= [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Answer:
a on edge
Step-by-step explanation:
Which of the following are solutions to the equation below?
Check all that apply.
(4x-1)^2=11
Answer:
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Step-by-step explanation:
Square root both sides:
[tex]4x - 1=\sqrt{11}[/tex] (There is supposed to be a ± sign but I couldn't do it on the equation thing)
[tex]4x=\sqrt{11}-1[/tex]
or
[tex]4x=-\sqrt{11} -1[/tex]
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Answer:
PLEASE APPRECIATE IT
Step-by-step explanation:
Square root both sides:
4x - 1=\sqrt{11} (There is supposed to be a ± sign but I couldn't do it on the equation thing)
Is the relation a function? Why or why not?
{(-8, -4).(-2, 0), (1, 3).(-2.6)}
Answer:
No it's not a function. (-2, 0) and (-2, 6) don't pass the vertical line test.
Step-by-step explanation:
which numbers are solutions of the inequality x>-12 ? check all that apply.
-20
-12
-7
0.9
8.5
16
Answer:
- 7, 0.9, 8.5, 16
Step-by-step explanation:
It should be that x must be greater than - 12, so let us consider all options;
[tex]- 20 < - 12,\\- 12 = - 12,\\ - 7 > 12,\\ 0.9 > 12,\\8.5 > - 12,\\16 > - 12[/tex]
Let us substitute x as each of these values;
[tex]x < - 12,\\x = - 12,\\x > - 12,\\x > - 12,\\x > - 12,\\x > - 12[/tex]
As you can tell, the last 4 Options are applicable;
Solution ⇒ - 7, 0.9, 8.5, 16
The solutions to inequality are - 7, 0.9, 8.5, and 16.
What is inequality?In mathematics, an inequality is a relation that makes a non-identical contrast between two numbers or other mathematical expressions.
What are the 5 types of inequality math?greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), not equal to symbol (≠).Learn more about inequality here https://brainly.com/question/11613554
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Please answer if you know..?
Answer:
B→A
Step-by-step explanation:
I'm pretty confident in my answer.