Answer:
13/9
Step-by-step explanation:
Given
5/9 + 8/9
Both fractions have the same denominator.
Therefore, pick one of the denominator and add the numerators
5/9 + 8/9
= (5+8) / 9
= 13/9
5/9 + 8/9 = 13/9
13. please help with this
Answer:
Looking at the question and goin step by step
we get to know that equation formed wud be ->
product of nine and a number - 9*x = 9x
added to 6 => 9x+6
gives us 24
so
9x + 6 = 24
now 9x = 18 and x = 18/9 = 2
and now keeping x value = 9 *(2)+6 we get 18+6 = 24
so lhs = rhs = 24
9x+6=24 option a
I need help solving
Selling frozen yogurt at a fair, you make $565 and use 250 cones. A single-scoop cone cost $2 and a double-scoop cone cost $2.50. How many of each type of cone did you sell?
The seller sold 120 single-scoop cones and 130 double-scoop cones to make $565.
250 cones were used while selling yogurt and made $565.
There are two types of cones:
Single-scoop cone that cost $2.
Double-scoop cone that cost $2.50.
We need to know how many cones of each type were used while selling yogurt that made $565.
This is a system of linear equations problem.We will have to make two linear equations using the given statements and apply the substitution method to get our answer.
Consider,
x = single-scoop cone.
y = double-scoop cone.
Now, we can make two linear equations:
x + y = 250............(A)
2x + 2.50y = 565...............(B)
Apply substitution method.
From (A) we get,
x = 250 - y...............(C)
And putting x = 250 - y in (B) we get,
2 ( 250 - y ) + 2.50y = 565
500 - 2y + 2.50y = 565
0.50y = 565 - 500
0.50y = 65
y = 65 / 0.50
y = 6500 / 50
y = 130
Putting y = 50 in (C) we get,
x = 250 - 130
x = 120
We have,
x = 120 and y = 130
We see that we need 120 single-scoop cones and 130 double-scoop cones to make $565.
Learn more about the system of the linear equations here:
https://brainly.com/question/8062932
#SPJ2
The sets A and L are given below.
A = (a, b, e}
L={c, k,j}
Find the intersection of A and L.
Find the union of A and L.
Write your answer using notation (in roster form)
Help plzzz
Step-by-step explanation:
A n L =null
A U L= a,b,c,e,k,j
the velocity of a body is increases from 10 m/s ti 15 m/s in 5seconds calculate its acceleration
Answer:
[tex]accelaration = \frac{change \: in \: veloity}{time} \\ = \frac{15 - 10}{5} \\ = \frac{5}{5} \\ = 1 \frac{m}{ {s}^{ - 2} } [/tex]
Answer: acceleration = 1 m/s²
Concept:
Here, we need to know how to calculate the acceleration of a body.
a = Δv / Δt = (v₂ - v₁) / (t₂ - t₁)
v = velocity
t = time
unit = m/s²
Solve:
Given information
v₁ = 10 m/s
v₂ = 15 m/s
Δt = 5 seconds
Given expression
a = (v₂ - v₁) / (t₂ - t₁)
Substitute values into the expression
a = (15 - 10) / 5
Simplify values in parentheses
a = 5 / 5
Simplify by division
[tex]\boxed{a=1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the missing side lengths
Answer:
u is 17√2 and v is 17
Step-by-step explanation:
To find u:
[tex]{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}[/tex]
feed in the terms:
[tex] \sin(45 \degree) = \frac{17}{u} \\ \\ u = \frac{17}{ \sin(45 \degree) } \\ \\ u = 17 \sqrt{2} [/tex]
To find v:
[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]
feed in the terms:
[tex] \cos(45) = \frac{v}{u} \\ \\ v = u. \cos(45) \\ v = (17 \sqrt{2} )÷( \sqrt{2} ) \\ v = 17[/tex]
14. What is the measure of angle wº? Show all work.
Answer:
100 degrees
Step-by-step explanation:
We can start by finding angle y, which is supplementary to 160.
180-160=20
angle y = 20 degrees.
With that, we can find angle w using the interior-exterior sangle theorem (or whatever name you use for it) which states that "the measure of an exterior angle of a triangle equals the sum of the measures of two remote interior angles". In other words:
angle w = angle y + 80
angle w = 20+80
angle w = 100.
The final answer is 100 degrees.
I hope this helped! :D
Answer:
Hello,
w=100
Step-by-step explanation:
y=180-160 (angles supplementaries)
y=20
w is a externel angle of the triangle is equal to the sum of non adjacents angles:
w=80+20=100
If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the distance from the origin to P, then sin() = Incorrect: Your answer is incorrect. cos() = tan() = .
cos(a) = x/r
sin(a) = y/r
tan(a) = y/x
In the image at the end, you can see a sketch of the situation, we can model this with a triangle rectangle:
The hypotenuse length is equal to r, the adjacent cathetus to the angle is the x-value, and the opposite cathetus to the angle is the y-value.
Now we can remember the trigonometric relations:
cos(a) = (adjacent cathetus)/(hypotenuse)
sin(a) = (opposite cathetus)/(hypotenuse)
tan(a) = (opposite cathetus)/(adjacent cathetus)
Using what we wrote above, we can rewrite these as:
cos(a) = (adjacent cathetus)/(hypotenuse) = x/r
sin(a) = (opposite cathetus)/(hypotenuse) = y/r
tan(a) = (opposite cathetus)/(adjacent cathetus) = y/x
if you want to learn more about this topic, you can read:
https://brainly.com/question/24297646
Find the angle that has tangent,1.000.Give your answer correct to two significant figures
Answer:
Step-by-step explanation:
Degrees Radians tangent
60° π/3 √3
45° π/4 1
30° π/6 1/√3
0° 0 0
what is the slope of the line? please help
Answer:
Here, we see that the slope (m) equals -1.
Step-by-step explanation:
m=Rise/Run
-2/2=-1
Hope it helps:)
If i work in a week 2 days cleaning and i will work 4 hours in a day and in 1 hour is 8$ how much will it be in a year
Answer:
$3072
Step-by-step explanation:
It is given that :
I work for 4 hours everyday, working 2 days a week.
And in 1 hour , I get $8.
Therefore,
1 hour = $8
4 hours = 4 x 8
= $32
So, in 1 day working for 4 hours, I get $32.
∴ Working 2 days = 32 x 2
= $64
In 1 month, there are 4 weeks
So, in 4 weeks (or 1 month), I work for = 4 x 2
= 8 days
Therefore, in 8 days, I get = 8 x 32
= $256
Now there are 12 months in a year.
So, in 12 months , I will get = 12 x 256
= $3072
Therefore, in 1 year , I will get $3072.
In the figure, p is parallel to s. Trasnversals t and w intersect at point L.
Statement
What is the missing reason in step 3?
a.) Alternate interior angles along parallel lines are congruent
b.) Alternate exterior angles along parallel lines are congruent
c.) Corresponding angles along parallel lines are congruent
d.) Vertical angles are congruent
Option C
Corresponding angles along parrellel lines are conguerent.
Answered by Gauthmath must click thanks and mark brainliest
Find the Algebric Equation
The sum of the product of 5 and a number, and 8
Answer:
5x+8
Step-by-step explanation:
First find the product of 5 and a number
5x
Then sum it with 8
5x+8
STEM The diagram shows the structure of a molecule of sulfur dioxide. The ratio of oxygen atoms to sulfur atoms in sulfur dioxide is always the same. How many oxygen atoms (O) are there when there are 6 sulfur atoms (S)? Explain how you got your answer.
The ratios of oxygen atom and sulfur atom is an illustration of equivalent ratios.
There are 12 oxygen atoms, when the number of sulfur atom is 6.
From the diagram, we have:
[tex]S = 1[/tex]
[tex]O_x = 2[/tex]
So, the ratio is:
[tex]S : O_x = 1 : 2[/tex]
When there are 6 sulfur atoms, the equation becomes
[tex]6 : O_x = 1 : 2[/tex]
Express as a fraction
[tex]\frac{O_x}{6}= \frac{2}{1}[/tex]
Multiply both sides by 6
[tex]O_x = 2 \times 6[/tex]
[tex]O_x =12[/tex]
Hence, there are 12 oxygen atoms
Read more about equivalent ratios at:
https://brainly.com/question/18230617
sinx + cos2x + sin3x + 1 =0
Step-by-step explanation:
This is true statement.
have a great day
please help me with this
Answer:
a) 10
b) 2.5
Step-by-step explanation:
2^n = 1024
2^n = 2^10
n = 10
4^(2n-3) = 16
4^(2n-3) = 4^2
2n-3 = 2
2n = 5
n = 2.5
Solution:-1:-
[tex]\\ \sf\longmapsto 2^n=1024[/tex]
Equal the bases[tex]\\ \sf\longmapsto 2^n=2^10[/tex]
[tex]\\ \sf\longmapsto n=10[/tex]
Solution:-2:-
[tex]\\ \sf\longmapsto 4^{2n-3}=16[/tex]
[tex]\\ \sf\longmapsto 4^{2n-3}=4^2[/tex]
[tex]\\ \sf\longmapsto 2n-3=2[/tex]
[tex]\\ \sf\longmapsto 2n=2+3[/tex]
[tex]\\ \sf\longmapsto 2n=5[/tex]
[tex]\\ \sf\longmapsto n=\dfrac{5}{2}[/tex]
[tex]\\ \sf\longmapsto n=2.5[/tex]
The distance between points A(0,1) and B(x, 4) is p
34. Find the x coordinate for point B.
Answer:
X = (P^2 - 9) ^ 1/2
Step-by-step explanation:
P^2 = (4 - 1)^2+ (0 -X)^1/2
what is the external angle of a polygon where the corresponding interior angle equals 105 degrees
Answer:
75 degrees maybe.......
Answer:
75 degrees
Step-by-step explanation:
the external angle is between the outside of one of the sides of the angle and the continued line of the second side of the angle.
and because it is measured against a line, where we have a total of 180 degrees for angles, we have
exterior angle = 180 - interval angle = 180-105 = 75
The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
18h +4
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w) where l is the length and w is the width
=2( 7h+8 + 2h-6)
Combine like terms
= 2( 9h+2)
Distribute
= 18h +4
Correct answer gets brainliest and 5 star
Answer:
d
Step-by-step explanation:
Answer:
option D
Step-by-step explanation:
the formula for slope is: y = mx + b
where m = slope & b = y intercept
so in y = -2x + 1,
m (slope) = -2 & b (y-int) = (0,1)
A. A polynomial of the 5th degree with a leading coefficient of 3 and a constant of 2.
Geometry, please answer question ASAP
9514 1404 393
Answer:
C. 16
Step-by-step explanation:
UV is a diameter of the circle. If it is perpendicular to the chord XS, then it bisects that chord. This means ...
XT = TS
3b -1 = b +5
2b = 6
b = 3
TS = b +5 = 8
The chord length is 2·TS = 2·8 = 16 units.
Answer:
C,XS=16
Step-by-step explanation:
3b-1=b+5
3b-b=5+1
2b=6
b=6/2=3
TS=b+5=3+5=8
XS=2 TS=2×8=16
Write an equivalent expression for each of the following. Express your answers in the form a + bi or a - bi
(5 + i)(9 + i)
Help please
Answer:
44 +14i
Step-by-step explanation:
(5 + i)(9 + i)
FOIL
first 5*9 = 45
inner: 9i
outer :5i
last: i*i = i^2 = -1
Add togheter
45 + 9i+5i -1
Combine like terms
44 +14i
I need help for this question!!
Part (i)
We start with five dots to make the pattern in figure 1.
In figure 2, we add on 1 dot to each arm of the X shape. So that means we've added 4 dots total going from 5 to 5+4 = 9 dots.
In figure 3, there are 9+4 = 13 dots
So the pattern is simply "add 4" to get the next term. Again, this is because we add one dot per arm.
The first three terms of this arithmetic sequence are: 5, 9, 13
Your teacher wants to know what the general nth term is
We start with a = 5 and the common difference is d = 4
T(n) = nth term
T(n) = a + d(n-1)
T(n) = 5 + 4(n-1)
T(n) = 5 + 4n - 4
T(n) = 4n + 1
Let's try it out. Say we want to plug in n = 2
T(n) = 4n + 1
T(2) = 4(2) + 1
T(2) = 8 + 1
T(2) = 9
This works because the second figure indeed has 9 dots. I'll let you confirm the other figures.
Answer: 4n + 1============================================================
Part (ii)
Your teacher wants to know how many dots occur when n = 50
T(n) = 4n + 1
T(50) = 4(50)+1
T(50) = 200 + 1
T(50) = 201
Verifying this through drawing dots is going to be a very tedious task, and I don't recommend it unless you really want to. Hopefully the verification process of T(2) = 9, and similar (for small values of n) is enough to convince you that this equation works as intended.
Answer: 201What is the value of g?
Answer:
56 degrees
Step-by-step explanation:
1. Notice how g is part of a right angle, which equals 90 degrees.
2. Notice how the 34 degree angle on the other side is also part of a 90 angle.
3. Notice how the 2 right angles are vertical to each other, meaning they are the same.
4. Subtract 34 from 90.
5. g=56 degrees
Hope this helps!
-Stella
I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.
*It's kind of of hard to see if g is referring to both angle degrees or not.
All points of the step function f(x) are graphed.
On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, 1) to (negative 2, 1). Each segment is 1 unit higher and 2 units farther to the right than the previous segment. The right-most segment goes from (2, 4) to (4, 4).
What is the domain of f(x)?
{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}
Answer:
A. {x| –4 < x ≤ 4}
Step-by-step explanation:
Answer:
{x| –4 < x ≤ 4}
Step-by-step explanation:
Edge Quiz 2023
work out the values of a and b in the identity 5(7x + 8) + 3(2x + b) = ax+ 13
will give brainiest!!!
Answer:
a=41 b=-9
Step-by-step explanation:
By expanding the brackets on the left hand side of the equation you get,35x + 40 + 6x + 3b and by simplifying you get 41x + 40 + 3b.by comparing the x and constant terms on either side you find that a = 41, and3b + 40 = 13, rearranging b = -9.
Answer from Gauth math
Answer:
Hello,
Step-by-step explanation:
We are going to use identification of terms.
[tex]5(7x+8)+3(2x+b)=ax+13\\\\35x+40+6x+3b=ax+13\\\\41x+40+3b=ax+13\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\3b+40&=&13\\\end{array}\right.\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\b&=&-9\\\end{array}\right.\\\\[/tex]
Produced by myself
Given that S=n/2(2a+(n-1)d). If a=4,d=3 and n=20 find the value of S
Answer:
s=650
Step-by-step explanation:
s=n/2(2a+(n-1)d)
s=20/2[2x4+(20-1)3]
s=20/2(2x4+19x3)
s=20/2(8+57)
s=20/2x65
s=10x65
s=650
Answer:
s=650
Step-by-step explanation:
Sum of 'n' terms formula is given by:-
s=n/2(2a+(n-1)d)
s=20/2[2x4+(20-1)3]
s=20/2(2x4+19x3)
s=20/2(8+57)
s=20/2x65
s=10x65
s=650
18) Mala gave Kamala half the number of sweets she had. She then had 7 sweets left. How many sweets did Mala have at the start?
Answer:
Mala had 14 sweets at the start.
Step-by-step explanation:
7 x 2 = 14
To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)
Find the principle that yields and interest of Rs.2240 at the rate of 10% p.a. in a years 6 months.
Step-by-step explanation:
I=PRT/100
p=I/RT×100
p=2240/10×2×100
p=11200