Answer:
the smaller number is 15 and the larger number is 35
Step-by-step explanation:
x+y=50
x=smaller number y=larger number
y=x+20
x+(x+20)=50
2x+20=50
2x=30
x=15
smaller number=15
larger number= 15+20=35
Answer:
Smaller: 15
Larger: 35
Step-by-step explanation:
1. Finding the two equationsLarger: y
Smaller: x
[tex]x+y=50[/tex]
[tex]y=20+x[/tex]
2. Plugging it in[tex]x+20+x=50\\2x=50-20\\2x=30\\x=15[/tex]
[tex]15+y=50\\y=50-15\\y=35[/tex]
x=15; y=35
Hope this helped! Please mark brainliest :)
Two neighbors in a rural area want to know the dsitance between their homes in miles what should the mneighbors us as a conversion factor to convert this distance to miles? 4,224 feet
They should use the conversion factor
1 mile = 5280 feet
To go from feet to miles, you divide by 5280
So,
4224 ft = 4224/5280 = 0.8 miles
The distance between their homes is exactly 0.8 miles
Help me please I need this
Answer:
2 times
Step-by-step explanation:
3/4 × 2 = 6/4, simplified down is 3/2
Answer: the answer is a
2.6767.......
How do I write 2.67 w/ repeating 67 as a simplified fraction,...
Please show work (or provide explination)
Answer:
[tex]\displaystyle \frac{265}{99}[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] be equal to the fraction form of the decimal.
[tex]x=2.\overline{67}[/tex]
Multiply both sides by 100:
[tex]100x=267.\overline{67}[/tex]
The reason we multiply both sides by 100 is that 2.6767... has two repeating decimals, 6 and 7, and 100 has two zeros.
Now, we have these two equations:
[tex]100x=267.\overline{67}[/tex]
[tex]x=2.\overline{67}[/tex]
Subtract [tex]x=2.\overline{67}[/tex] from [tex]100x=267.\overline{67}[/tex]:
[tex]100x=267.\overline{67}\\- x=2.\overline{67}\\\rule{70}{0.5}\\99x=265[/tex]
Isolate [tex]x[/tex] by dividing both sides by 99:
[tex]\displaystyle x=\frac{265}{99}[/tex]
I hope this helps!
Using only the values given in the table for the function f(x) = x^3 - 3x - 2 what is the interval of x-values over which the function is decreasing?
Answer:
3 = 3(x² - 1) We know, any Function f(x) decrease s in interval [a, b] when f'(x) < 0 ... -1 < x < 1. Hence, function f(x) = x³ - 3x - 2 , is decreased in (-1, 1).
what’s is the quotient for the rational expression shown below?
Answer:
D
Step-by-step explanation:
D is the correct answer
x/-2-3>2
SOlve the inequality
Answer:
x ∠ -10
Step-by-step explanation:
Answer:
[tex]x>-10[/tex]
Step-by-step explanation:
[tex]\frac{x}{-2} -3>2[/tex]
[tex]\frac{x}{-2} > 5[/tex]
[tex]x=-2[/tex] × [tex]5[/tex]
[tex]x>-10[/tex]
Solve the equation. The letters a, b, and c are constants and a≠0
ax-76 = 9c
i’m confused bc it doesn’t tell me what i’m solving for. please help! thank you!
Answer:
Step-by-step explanation:
Probably it's asking for x so you have to find x in term of a and c
ax = 9c+76
x = 9c+76/a
Answer:
Step-by-step explanation:
I can see your problem. That's one of those questions where the directions are part of the problem. I think you are supposed to solve for x.
ax-76 = 9c Add 76 to both sides
ax = 9x + 76 Divide by a
x = (9x + 76)/a
If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble
What is the probability of picking 1 red marble and 1 green marble?
(Once a marble is chosen it IS put back into the box).
(Write your answer in the form of a decimal, round to 2 places).
Answer:
0.06
Step-by-step explanation:
Total number of marbles:
6 + 10 + 5 + 1 = 22 marbles
Probability of picking 1 red marble:
red marbles / total marbles
6/22
Probability of picking a green marble:
green marbles / total marbles
5/22
Now, multiply the probabilities:
6/22 • 5/22 = 15/242 = 0.06
PPPPlease help meeee!
Answer:
A
Step-by-step explanation:
Since the theta is in second quadrant, x will be negative and y positive. cos(theta)=-2/sqrt(29)=B/H, the base is 2 and H=sqrt(29). The perpendicular is 5.
y = 4x – 10
y = 2
What is the solution to the system of equations?
(3, 2)
(2, 3)
(–2, 2)
(2, –2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10
y = 2
Substitute the second equation into the first
2 = 4x-10
Add 10 to each side
2+10 = 4x-10+10
12 = 4x
Divide each side by 4
12/4 =4x/4
3 = x
The solution is
(3,2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10...(1) y = 2...(2) You have y=2 here, substitute it in equation (1),
y = 4x – 10 2 = 4x – 10
Add both sides by 10 12=4x
Divide both sides by 4 x=3
We have x=3, and y=2. ==> (x,y) = (3,2)
Please tell me whats the number?
Answer:
5/6
Step-by-step explanation:
15/18
Divide the top and bottom by 3
15/3 = 5
18/3 = 6
5/6
I have simplified:)
To simplify, you have to divide the numerator & denominator by 3
BTW,I am also an Acellus student!:)
90 is 30% of what number
Answer:
300
Step-by-step explanation:
Is means equals and of means multiply
90 = 30% *n
90 = .3n
Divide each side by .3
90/.3 = n
300 = n
Find the average rate of change of a function that contains the points (-2,3) and (2,5). -2, -1/2, 1/2, 2
Answer:
The answer is "[tex]\frac{1}{2}[/tex]".
Step-by-step explanation:
Given points:
[tex](-2,3)\\\\(2,5)\\\\[/tex]
average rate=?
[tex]x_1=-2\\\\y_1=3\\\\x_2=2\\\\y_2=5[/tex]
[tex]average\ rate=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{5-3}{2-(-2)}\\\\=\frac{5-3}{2+2}\\\\=\frac{2}{4}\\\\=\frac{1}{2}[/tex]
Which series represents this situation? 1+1*7+1*7^ 2 +...1*7^ 6; 1+1*7+1*7^ 2 +...1*7^ 7; 7+1*7+1*7^ 2 +... 1*7^ 6; 7+1*7+1*7^ 2 +...1*7^ 7
Answer:
Step-by-step explanation:
The series is missing from the question. I will answer this question with a general explanation by using the following similar series:
[tex]\sum\limits^6_{n=0} 7^n[/tex]
Required
The series
To do this, we simply replace n with the values
[tex]\sum\limits^6_{n=0}[/tex] means n starts from 0 and ends at 6
[tex]\sum[/tex] means the series is a summation series
So, we have:
[tex]\sum\limits^6_{n=0} 7^n = 7^0 + 7^1 + 7^2 + ...... + 7^6[/tex]
[tex]\sum\limits^6_{n=0} 7^n = 1 + 7 + 7^2 + ...... + 7^6[/tex]
3. A publishing house is selling subscriptions to its magazines for 20% off the original price. If a
subscription to Newsweek Magazine is on sale for $72, how much does it usually cost?]
a) $14.40
b) $57.60
c) $86.40
d) $90
Which expression below equals a rational number, choose all that apply.
Please help.
Answer:
BELOW IN BOLD.
Step-by-step explanation:
4/5 + 3/8
= 47 / 49 which id Rational
√100 + √5
= 10 + √5; - Irrational
7√5 - √245
=7√5 - 7√5
= 0 RATIONAL
Next one = 56 so Rational
Last one is Irrational
plssssss help me answer this quickly
Answer:
Step-by-step explanation:
Calculate 6+9i/-1+4i
Multiply the numerator and denominator by the conjugate of the denominator:
[tex]\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}[/tex]
Simplify:
[tex]\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}[/tex]
Please help, I’ll give brainly!!!
Answer:
9.
3 ( 1 - 3x ) = 2 (-4x + 7)
3 - 9x = -8x +14
-9x +8x = 14 - 3
-x = 11
x = -11
10.
-10 + x + 4 - 5 = 7x - 5
-10 +x -1 = 7x - 5
-11 + x = 7x - 5
-11 + 5 = 7x -x
-6 = 6x
x = -6/6
x = -1
11.
-8n + 4 ( 1 + 5n ) = -6n -14
-8n + 4 + 20n = -6n -14
12n +4 = -6n -14
12n + 6n = -14 -4
18n = -18
n = -18/18
n = -1
12.
-6n - 20 = -2n + 4 ( 1 - 3n)
-6n - 20 = -2n + 4 - 12n
-6n - 20 = -14n +4
-20 -4 = -14n +6n
-24 = 8n
n = -24/8
n = -3
13.
4n - 40 = 7 (-2n +2)
4n - 40 = -14n + 14
4n +14n = 14 +40
18n = 54
n = 54 / 18
n = 3
14.
7(5a - 4) -1 = 14 - 8a
35a -28 -1 = 14 - 8a
35a -29 = 14 - 8a
35a +8a = 14 +29
43a = 43
a = 43/43
a = 1
15.
-31 - 4x = -5 - 5 ( 1 + 5x)
-31 - 4x = -5 -5 - 25x
-31 - 4x = -10 -25x
-4x +25x = -10 +31
21x = 21
x = 21/21
x = 1
16.
38 +7k = 8 (k +4)
38 +7k = 8k + 32
38 - 32 = 8k -7k
k = 6
RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan?
Answer:
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
Step-by-step explanation:
The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
1 from a set of 2(Either Mrs. Vera or Mr. Jan).
3 from a set of 18 - 2 = 16. So
[tex]C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120[/tex]
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
sin 6x +4sin²3x= 0
sin x + sin 5x = sin 2x . sin 3x
tan 4x. tan 2x = -1
sin 5x + cos 5x - sin x + cos x =√2 cos 3x
cos 5x . cos x + sin³2x = cos 3x . cos x
Answer:
no entendi muy bien sorry
-3z-z
HELP PLZ
Hahsjsjsnsksns snskskd
Answer:
-4z
Step-by-step explanation:
-3z-z
= -4z
Answer:
-4
Step-by-step explanation:
[tex] - 3z - z[/tex]
[tex] - 3z - 1z[/tex]
[tex]( - 3 - 1)z = - 3 - 1[/tex]
[tex] - (3 - 1)[/tex]
[tex] = - 4z[/tex]
Solve each of the following exponential equations using common bases:
1.) 4^(3x+5)=8^(4x-3)
2.) 9^(2x+3)=〖(1/27)〗^(3x+1)
3.) 4^(x+6)∙8^(x-9)=64
Answer:
x=19/6, x=-9/13, x=33/4
Step-by-step explanation:
1) 2^(6x+10)=2^(12x-9), 6x+10=12x-9, x=19/6
2) 3^(4x+6)=3^(-9x-3), 4x+6=-9x-3, x=-9/13
3) 2^(x+6)*2^(3x-27)=2^(6), 4x-27=6, x=33/4
please help me in solving this
Answer:
it can be 5 from my side is that right
Answer:
is ur question right
Step-by-step explanation:
is ur question right
is ur question right
is ur question right
Express 2³a²b in factor form
Answer:
In factor form, the answer is ---> 8a^2b
Step-by-step explanation:
2³a²b
= (2^3) (a^2) b
= 8a^2b
Plz help........
1. -1114 ÷ ( - 117)
2. -212 ÷ ( -123)
3. - 512 ÷ 58
4. 27 ÷ ( -79)
Answer:
1. 1114/117 2. 212/123 3. -256/29 4. -27/79
Step-by-step explanation:
1. 1114/117
2. 212/123
3. -256/29
4. -27/79
pls help
The equation of a line parallel to 6x – 2y + 10 = 0 and passes through the point
(-2,7).
Answer:
y=3x-1
Step-by-step explanation:
First we need to rewrite 6x-2y+10 =0 into the standard slope form of y=mx+b when done you get y=3x+5Next we need an equation that passes through the point (-2,7). Now remember equations that are parallel have the same slope so the equation should look like y=3xIn standard slope form the b is the y-intercept. We now need to plug in the x ordered pair value into the standard slope equation. y=3(-2)+5 to get y=-1 meaning -1 is the y-intercept Therefore the answer is y=3x-1Answer:
Y = 3X + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
6x - 2y + 10 = 0 ( subtract 6x + 10 from both sides )
- 2y = - 6x - 10 ( divide terms by - 2 )
y = 3x + 5 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , so
y = 3x + c ← is the partial equation
To find c substitute (- 2, 7 ) into the partial equation
7 = - 6 + c ⇒ c = 7 + 6 = 13
y = 3x + 13 ← equation of line in slope- intercept form
Find the magnitude of the vector. Write your answer in simplified form.
hor
8
6
4
NO
Х
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
-6
-8
-10
look
[tex] \sqrt{117} [/tex]
how many solutions does the equation below have? 3x-8=-2x+9/3
Answer:
1
Step-by-step explanation:
[tex]\\ \sf\longmapsto 3x-8=-2x+\dfrac{9}{3}[/tex]
[tex]\\ \sf\longmapsto 3x-8=-2x+3[/tex]
[tex]\\ \sf\longmapsto 3x+2x=3+8[/tex]
[tex]\\ \sf\longmapsto 5x=11[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{11}{5}[/tex]
Luz made a semicircular pendant with a radius of 8 centimeters to use on a key chain. She attached a wire around the edge of the pendant.
What is the approximate length of the wire she attached to the pendant?
41.13
50.27
The approximate length of the wire she attached to the pendant is 50.27
What is the approximate length of the wire she attached to the pendant?The radius is given as:
r = 8 cm
The approximate length of the wire she attached to the pendant is calculated as:
Length = 2pi r
Where
pi = 3.14
So, we have:
Length = 2 * 3.14 * 8
Evaluate the product
Length = 50.24
Hence, the approximate length of the wire she attached to the pendant is 50.27
Read more about circumference at:
https://brainly.com/question/14283575
#SPJ1
Answer: The answer is 41.13.
Step-by-step explanation: I took the quiz and none of the other answers were correct.
