Answer:
13
Step-by-step explanation:
The triangles ABC and DEC are the exact same.
That also means that angle b in the same as angle E
You can then do: 3x=6x-39 (because they are the same)
then simplify:
39=3x
x=13
hope this helped! ask questions in the comments if you still don't know.
Answer:
Make x alone
Subtract 3x on both sides
3x - 3x = 0
6x - 3x = 3x
0 = 3x - 39
Divide 39 by 3
39 / 3 = 13
13 is the answer because it makes the equation equal
Hope this helps
Step-by-step explanation:
what is the square root of 9/49
Answer:
[tex] \pm \frac{3}{7} [/tex]
Step-by-step explanation:
[tex] \huge \sqrt{ \frac{9}{49} } = \pm \frac{3}{7} \\ [/tex]
good morning :)
I want to exchange $500 to yen. How many yen will I receive if the rate of a Japanese yen to the U.S. dollar is 116.22 to 1?
A. 58,115 yen
B. 58,110 yen
C. 5,811 yen
D. 4.3 yen
Answer: B ¥58,110
Step-by-step explanation:
$1 = ¥116.22
$500 = ?
= 500 x 116.22
= 58,110
Answer:
B
Step-by-step explanation:
what is the solution to the inequality a-3>5
Answer:
a > 8
Step-by-step explanation:
a-3>5
Add 3 to each side
a-3+3>5+3
a > 8
Answer:
a > 8
Step-by-step explanation:
a - 3 > 5
Add 3 on both parts.
a - 3 + 3 > 5 + 3
The a variable must be on one side.
a > 8
Write 120 as a product of prime factors
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.
And the prime factorization of 120 is 2 x 2 x 2 x 3 x 5
In this exercise we must use the knowledge about prime factors to find the products of the number 12, in this way we find that:
[tex]2 * 2 * 2 *3 * 5[/tex]
First, we have to remember what prime factors are, like this:
Prime factors happen determinant of a number that happen, themselves, prime numbers. There exist many plan to find the prime determinant of any, but individual of the most prevalent search out use a prime determinant large plant enclosed in bark and shedding leaves.
So for the number 12, we find that this corresponds to:
[tex]1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120\\ 2 * 2 * 2 *3 * 5[/tex]
See morea about prime factors at brainly.com/question/10454590
What is the equation of a trend line that passes through the points (7,450) and (14,401).
Answer:
y = -7x + 499
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find slope m
m = (401 - 450)/(14 - 7)
m = -49/7
m = -7
y = -7x + b
Step 2: Find b
450 = -7(7) + b
450 = -49 + b
499 = b
Step 3: Rewrite equation
y = -7x + 499
HELPPPP Find the next two terms in the following sequence 13,-5,-35,-77
Answer:
13,-5,-35,-77,-131,-197
Step-by-step explanation:
To get from 13 to -5, you subtract 18 (or add -18)
To get from -5 to -35, you subtract 30
To get from -35 to -77, you subtract 42
Notice that the amount being subtracted is increasing by 12 each time.
So the next subtraction will be 54, and the one after that will be 66.
So the next term is -77 - 54 = -131
And the term after that is -131 - 66 = -197
So the sequence would be: 13,-5,-35,-77,-131,-197
define algebraic expression
Step-by-step explanation:
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression. Since taking the square root is the same as raising to the power, is also an algebraic expression.
15
Find the values of x in this equation: x-
-= 2.
х
A.
-7,3
B.
-5, 2
C.
-7,5
D.
-2,5
E.
-3,5
Reset
Next
Answer:
Option (E)
Step-by-step explanation:
Expression given in the attachment,
[tex]x-\frac{15}{x}=2[/tex]
By multiplying with x on both the sides of the given equation,
x² - 15 = 2x
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x - 5) = 0
(x + 3) = 0
x = -3
And (x - 5) = 0
x = 5
Therefore, x = -3, 5 are the solutions of the given equation.
Option (E) will be the answer.
Horatio is solving the equation Negative three-fourths + two-fifths x = StartFraction 7 Over 20 EndFraction x minus one-half. Which equations represent possible ways to begin solving for x? Check all that apply. Two-fifths x = StartFraction 7 Over 20 EndFraction x + one-fourth Two-fifths x = StartFraction 7 Over 20 EndFraction x + five-fourths Negative three-fourths = negative StartFraction 1 Over 20 EndFraction x minus one-half Negative three-fourths = three-fourths x minus one-half Negative three-fourths + StartFraction 1 Over 20 EndFraction x = negative one-half
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
-3/4 + 2/5x = 7/20x - 1/2
Step 2: Subtract 7/20x on both sides
-3/4 + 1/20x = -1/2
Step 3: Add 3/4 to both sides
1/20x = 1/4
Step 4: Divide 1/20 on both sides
x = 5
Answer: Answer: The answer is A,C,E
A: 2/5x = 7/20 x+ 1/4
C: -3/4 = -1/20 x -1/2
E: -3/4 + 1/20 x= -1/2
945 divided by 35 with remainders
Answer:
27.
Step-by-step explanation:
945 / 35 = 27. There are no remainders... Although you could potentially say that 0 is the remainder.
When 945 is divided by 35, the remainder is 0 and quotient is 27.
The divisor is 35 and the dividend is 945.
We have to find the quotient and remainder when 945 is divided by 35.
945/35
=27.
Hence, the quotient is 27 and remainder is 0.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ6
Which compound inequality can be used to solve the inequality 13x+2 >7?
RE
-7 <3x+2> 7
ОООО
-7> 3x+2> 7
3x + 2 >-7 or 3x + 2 >7
3x + 2<-7 or 3x + 2 >7
Answer:
(D)[tex]3x+2 < -7$ or $3x+2 >7[/tex]
Step-by-step explanation:
Given the absolute inequality: [tex]|3x+2| >7[/tex]
When solving absolute inequalities, if the problem has a greater than sign we set up an "OR" compound inequality that looks like this:
(Expression inside absolute value) < - (number on other side) OR (Expression inside absolute value) > (number on other side)Therefore, for the absolute inequality |3x+2| >7, we have:
[tex]3x+2 < -7$ or $3x+2 >7[/tex]
The correct option is D.
Situation:
Find the age of the mammal hide to the nearest
year.
A farmer in China discovers a mammal
hide that contains 76% of its original
amount of C-14.
Enter the correct answer.
DONE
N= Noekt
DOO
GO
No = inital amount of C-14 (at time
t = 0)
N = amount of C-14 at timet
k = 0.0001
t = time, in years
Find the age of the mammal hide to the nearest
The answer is 3425.
Be safe!
-Eli
:))
An: The person above is wrong the answer is actually 2744.
Step-by-step explanation:
Check all of the infinite geometric series that diverge.
27 + 9 + 3 + 1 + . . .
2.2 + 0.22 + 0.022 + . . .
ANSWER B&D
Answer: b and d
Step-by-step explanation:
On edge
Which of the following represents the range of the graph of F(x) below
Here are the first 5 terms of a sequence 3,8,17,30,47 find an expression, in terms of n for the nth term of this sequence
Answer:
The first differences are 5, 9, 13, 17, and so the second differences are all 4.
Halving 4 gives 2, so the first term of the sequence is 2n^2.
Subtracting 2n^2 from the sequences gives 1,0,-1-2,-3 which has the nth term -n+2.
Therefore, the formula for this sequence is 2n^2 -n +2.
Answer:
2n^2 - n +2
Step-by-step explanation:
3,8,17,30,47
-------------
this is the final form I got after playing for a while:
1. 3= 4*1 + 1 - 2= 4*(1+0) + 1 -2 = 4*(1 + (1-2)(1-1)/2) + 1- 22. 8= 4*2 + 0 = 4*(2+0)+0= 4*(2+0) + 2-2= 4*(2+ (2-2)(2-1)/2) + 2-23. 17= 4*4 + 1= 4*(3+1) +1= 4*(3+1) + 3-2= 4*(3+ (3-2)(3-1)/2) + 3-24. 30= 4*7 +2= 4*(4+3)+2= 4*(4+3) + 4-2= 4*(4+ (4-2)(4-1)/2) + 4-25. 47= 4*11+ 3= 4*(5+6)+3 = 4*(5+6) + 5-2= 4*(5+(5-2)(5-1)/2) + 5-2.....
n. an= 4*(n+(n-2)(n-1)/2)+ n- 2= 4n + 2(n^2 -3n+2) + n-2==4n +2n^2 - 6n +4 + n - 2= 2n^2 - n +2an= 2n^2 - n +2-------------
tested in excel and works:
1 2 3 4 5 6 7 8 9 10
3 8 17 30 47 68 93 122 155 192
Two boxes are similar, the length of the side of the small box is 4cm, the length of the side of the big box is 16cm. The volume of the big box is 320cm3 what is the volume of the small box?
Answer:
80cm^3
Step-by-step explanation:
16/4 = 4
This means that the scale factor = 4
320cm^3 = Volume of BB
BB/4 = Volume of SB
320/4 = 80
Therefore, the volume of the small box = 80cm^3.
Triangles Very Easy PIC INCLUDED
Answer:
sin30° and cos60°
Step-by-step explanation:
We can see that we can use multiply trig identities to solve for r:
sin30° = r/20
r = 20sin30°
cos60° = r/20
r = 20cos60°
Elsa, Alan, and Deon have a total of $82 in their wallets. Alan has 3 times what Deon has. Deon has $7 less than Elsa. How much do they have in their wallets?
Answer:
Alan=$45
Deon=$15
Elsa=$22
Step-by-step explanation:
Let
Elsa=x
Deon=x-7
Alan=3(x-7)
Total=$82
x+(x-7)+3(x-7)=82
x+x-7+3x-21=82
5x-28=82
5x=82+28
5x=110
x=110/5
=22
Elsa=x=$22
Deon=x-7
=22-7
=$15
Alan=3(x-7)
=3(22-7)
=3(15)
=$45
the qestion is in the picture
Answer:
25 students are in the class.
Step-by-step explanation:
There are 3/5 girls, and there are 10 boys, so there are 2/5 boys. 5/5 is the whole class, so here is how we would solve it: 2/5=10 3/5=15, 10+15=25. Hope this helps!
What is 5+4? Please help I would like to know?
Answer:
9
Step-by-step explanation:
9
you can always use your fingers or make circcles to count
Answer:9
Step-by-step explanation: how many fingers do you have? 10 Right? so you could cont five on one hand and four on the other to get nine.
A line has a slope 2/3 and a y- intercept -2 witch answer is the equation of the line
Answer:
y = 2/3x - 2
Step-by-step explanation:
I'm pretty sure this is asking about the slope intercept form, since you didn't give us the actual answers. If not, comment below. Slope intercept form follows the y = mx + b form, where m is the slope and b is the y-intercept. By plugging your givens in, you get y = 2/3x - 2
What is the y-intercept of the line with the equation y = one-half x minus 3?
a.-3
c.-6
b.6
d.One-half
Answer: A
Step-by-step explanation:
The equation given is y=1/2x-3. The y-intercept is the contant. It does not have any variable attached to it. The y-intercept is -3.
Answer:
A. -3
Step-by-step explanation:
The y intercept of a equation will always be the one that's has no variable beside it
Example: y=2x+5
In this equation, 5 is your y intercept
And 2 is your slope
Hope this helps!
Solve the equation below for x. cx-4=7
Answer:
[tex]x = \frac{11}{c}[/tex] (x = 11/c)
Step-by-step explanation:
cx - 4 = 7
cx = 7 + 4
cx = 11
[tex]x = \frac{11}{c}[/tex] (x = 11/c)
Hope this helps! :)
Answer:
x=11/c
Step-by-step explanation:
In order to solve for x, we must get x by itself.
cx-4=7
4 is being subtracted from cx. The inverse of subtraction is addition. Add 4 to both sides of the equation.
cx-4+4= 7+4
cx= 7+4
cx= 11
x is being multiplied by c. The inverse of multiplication is division. Divide both sides of the equation by c.
cx/c=11/c
x= 11/c
The equation cx-4=7 solved for x is: x= 11/c
Suppose you work for a company that manufactures cylindrical cans. Which will cost more to manufacture, a can with a radius of 4 inches and a height of 5 inches, or a can with a radius of 5 inches and a height of 4 inches? Assume that the cost of material for the tops and bottoms is per $1.40 square inch and the cost of material for curved surfaces is $0.90 per square inch.
Answer:
the can with the 5-inch radius will cost more
Step-by-step explanation:
The cost will be given by the formula ...
cost = 1.40 × (top & bottom area) + 0.90 × (lateral area)
In terms of radius and height the areas are ...
top & bottom area = 2πr²
lateral area = 2πrh
So, the total cost of a can with radius r and height h is ...
c(r, h) = 1.40·2πr² +0.90·2πrh
Filling in the given values and doing the arithmetic, we find the costs to be ...
c(4, 5) = $253.84
c(5, 4) = $333.01
The cost of the can with the 5-inch radius is the greatest.
Answer:
The cylinder with radius of 5 inches and height of 4 inches costs more to manufacture.
Step-by-step explanation:
First Can:
Top and Bottom Surface Area = 2(pi(4)^2) = 2(16pi) = 32 pi = 100.53 square inches
Cost for top and bottom surface area = 1.40 * 100.53 = $140.74
Curved Surface Area = 2pi*r*h = 2*pi*4*5 = 40 pi = 125.66 square inches
Cost for Curved Surface Area = 125.66 * 0.90 = $113.10
Total Cost = $140.74 + $113.10 = $253.84
Second Can
Top and Bottom Surface Area = 2(pi(5)^2) = 2(25pi) = 50 pi = 157.08 square inches
Cost for top and bottom surface area = 1.40 * 157.08 = $219.91
Curved Surface Area = 2pi*r*h = 2*pi*5*4 = 40 pi = 125.66 square inches
Cost for Curved Surface Area = 125.66 * 0.90 = $113.10
Total Cost = $219.91 + $113.10 = $333.01
So, the cylinder with radius of 5 inches and height of 4 inches costs more to manufacture.
What is the center of the circle that has a diameter whose endpoints are (4, 1) and (-6, 5)?
Answer:
(-1,3)
Hope this helps
what is the solution to the system of equations? A. (7,4) B. (7,13/3) C. (8,14/3) D. (9,7)
Answer:
B. (7, 13/3)
Step-by-step explanation:
Since the graph doesn't show the intersecting point, we must use algebra to solve this (Substitution or elimination).
Step 1: Substitute y
1/3x + 2 = 4/3x - 5
Step 2: Isolate x
-x + 2 = -5
-x = -7
x = 7
Step 2: Find y using x
y = 1/3(7) + 2
y = 7/3 + 2
y = 13/3
can someone help ???
Answer: 450
Step-by-step explanation:
971 = B + (T+71)
971-71 = 2 B
450 = B
Last weekend 270 movie tickets were sold. This weekend 216 tickets were sold.
Find the percent of change in the number of tickets sold from last weekend to
this weekend.
Answer:
brainliest appreciated
Step-by-step explanation:
270- 216 = 54
so ...the percentage becomes
54/270 × 100 = 20%
What is The Sign of - 88/13 plus 88/13
Answer:
0
Step-by-step explanation:
if you add both of them together, they cancel out and form the answer 0.
have a great day
Answer:
Hello the answer will be 0
They cancel out with eachother
Step-by-step explanation:
Fiona draw a circle with a diameter of 14 meters. What is the area of Fiona circle?
Answer:
153.938 meters
Step-by-step explanation:
The area of a circle is Pi * (Radius)^2. The radius is the diameter/2.
14/2=7
Pi * (7)^2
153.938 m
Answer:
154 cm^2Step-by-step explanation:
[tex]d =14\\Area = \pi \times r^2\\r = d/2\\r = 14/2\\r= 7\\A = 22/7 \times 7^2\\\frac{22}{7} \times 49\\Simplify\\\frac{22}{1} \times 7\\Area =154[/tex]
[tex]A =\frac{1}{4} \pi \times d^2\\A = \frac{1}{4} \times \frac{22}{7} \times14^2\\A = 1/4\times22/7\times196\\A = 154cm^2[/tex]