Please can I have an explanation also, I am terrible at these kinds of questions!
Q- A bag contain red, yellow and blue beads.
The ratio of red beads to yellow beads is 2:3
The ratio of yellow beads to blue beads is 5:4
Work out what fraction of the beads are red.
Answer:
The fraction of the beads that are red is
Step-by-step explanation:
Algebraic Expressions
A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:
r:y = 2:3
y:b = 5:4
We are required to find r:s, where s is the total of beads in the bag, or
s = r + y + b
Thus, we need to calculate:
[tex]\displaystyle \frac{r}{r+y+b} \qquad\qquad [1][/tex]
Knowing that:
[tex]\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2][/tex]
[tex]\displaystyle \frac{y}{b}=\frac{5}{4}[/tex]
Multiplying the equations above:
[tex]\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}[/tex]
Simplifying:
[tex]\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3][/tex]
Dividing [1] by r:
[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}[/tex]
Substituting from [2] and [3]:
[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}[/tex]
Operating:
[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}[/tex]
[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}[/tex]
[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}[/tex]
The fraction of the beads that are red is [tex]\mathbf{\frac{10}{37}}[/tex]
402 = 2 x 3 x ____
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
67
Step-by-step explanation:
2x3=6
402/6=67
2x3x67=402
hope this helped:)
HELP! Dont judge i really do need help!
Answer:
A.
Step-by-step explanation:
The coordinates are currently on the top left, which means one of the coordinates are negative. If you look at the chart, you can see that the X-axis is negative, and X is first on a coordinate plane. (X,Y) So, if the negative coordinate is X, and X goes first, then there's no other choice than to choose A, which is the only answer choice that has a negative X-axis in their coordinate plane! Hope this helps!
The golden ratio is a solution to a quadratic equation.
a. Find the precise value for Φ by solving Φ2 − Φ − 1 = 0.
b. Which method of solving a quadratic equation did you use? Explain your reasoning.
c. What type of number is Φ? Why can it only be approximated by a decimal value?
Answer:
Below.
Step-by-step explanation:
a. Φ^2 − Φ − 1 = 0
Φ2 − Φ = 1
(Φ - 0.5)^2 - 0.25 = 1
(Φ - 0.5)^2 = 1.25
Φ - 0.5 = √(1.25) (We only take the positive root).
Φ = 0.5 + √(1.25)
b. I used Completing the square.
c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.
HELP !!!!!!! Speed = Distance divided by Time. A Race-car traveling at 75 miles an hour for 4 hours would travel... * THIS IS A REBEMTION TEST 275 miles 300 miles 325 miles 350 miles
Help please !! Right answer
Answer:
6^10
Step-by-step explanation:
Answer:
6¹⁹
Step-by-step explanation:
2 + 11 + 3 = 6¹⁹
Factorise y² + 5y-84
Answer:
(y-7) (y+12)
Step-by-step explanation:
Factor y2+5y−84y2+5y-84 using the AC method.
compare the graph of g(x)=6x−5 to the graph of f(x)=6x
a. g(x) shifted up 5 units
b. g(x) shifted down 5 units
c. g(x) is 6 units steeper
d. f(x) shifted down 5 units
Answer:
D
Step-by-step explanation:
Here, we want to compare the graph of g(x) and f(x)
Looking at the given equations, the difference between the two is that we have 5 subtracted from one of the equations
What this means is that we are moving down 5 units away from the graph of f(x) to get the graph of g(x)
Thus, option D is the correct answer
What is the equation in point slope form of the line that passes through the point (1 , 8) and (2 , 10)?
y-8=2(x-1)
y+8=2(x+1)
y=2x-7
2x-y=7
Mario spent $23.85 at the bookstore on one book and some magazines. The book cost $12.60 and the magazines cost $2.25 each. How many magazines did Mario buy?
Answer:
Mario brought 5 magazines
Step-by-step explanation:
If you just add $12.60 and $2.25 together then keep adding $2.25 until you get to $23.85, you'll get your answer.
So like,
(1) 12.60 + 2.25 = 14.85
(2) 14.85 + 2.25 = 17.1
(3) 17.1 + 2.25 = 19.35
(4) 19.35 + 2.25 = 21.6
(5) 21.6 + 2.25 = 23.85
So the total would be 5. Mario bought 5 magazines.
A train leaves at 5.35 and arrives at 18.20 how long its journey . how long is the journey
Answer:
13 hours 55 minutes
Step-by-step explanation:
A train leaves at 5:35
The train arrives at its destination at 18:20
Therefore the time interval between 5:35 and 18:20 is
13 hours 55 minutes
Hence the journey is 13 hours 55 minutes long
Question 11
Write the following in order of size, largest first.
sin 1580
cos 1589
cos 38°
sin 38
Answer:
cos 38, sin 38, sin 1580, cos 1589
Use substitution to solve the system of equations.
x-2y=1
3x-6y=3
What is the slope of the line that passes through the points
(8,−4) and (6,2)? Write your answer in simplest form.
Answer: -3
Step-by-step explanation:
(this is just my way):
1. First create an equation: 2-(-4) over 6-8
2. Simplify: 6/-2 => -3
Tada, you already go your slope
Have a nice day :)
In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 and C, 2− 5 are translated to B′ and C′, respectively. What are the coordinates of B′ and C′?
Answer:
The coordinates of B' and C' are [tex]B'(x,y) = (4, -7)[/tex] and [tex]C'(x,y) = (-1, -8)[/tex], respectively.
Step-by-step explanation:
From the Linear Algebra, we define the translation of a given point as:
[tex]O'(x,y) = O(x,y) + T(x,y)[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Original point, dimensionless.
[tex]T(x,y)[/tex] - Translation vector, dimensionless.
[tex]O'(x,y)[/tex] - Translated point, dimensionless.
If we know that [tex]A'(x,y) = (1, -5)[/tex] and [tex]A(x,y) = (4,-2)[/tex], then the translation vector is:
[tex]T(x,y) = A'(x,y)-A(x,y)[/tex] (2)
[tex]T(x,y) = (1,-5)-(4,-2)[/tex]
[tex]T(x,y) = (-3,-3)[/tex]
If we know that [tex]B(x,y) = (7,-4)[/tex], [tex]C(x,y) = (2,-5)[/tex] and [tex]T(x,y) = (-3,-3)[/tex], then the translated points are, respectively:
[tex]B'(x,y) = B(x,y)+T(x,y)[/tex] (3)
[tex]B'(x,y) = (7,-4) +(-3,-3)[/tex]
[tex]B'(x,y) = (4, -7)[/tex]
[tex]C'(x,y) = C(x,y) +T(x,y)[/tex]
[tex]C'(x,y) = (2,-5) + (-3,-3)[/tex]
[tex]C'(x,y) = (-1, -8)[/tex]
The coordinates of B' and C' are [tex]B'(x,y) = (4, -7)[/tex] and [tex]C'(x,y) = (-1, -8)[/tex], respectively.
Abby spent 22 minutes working on her science project yesterday 34 minutes working on today. how many minutes did Abby spend working on her science project altogether
The number of minutes that Abby spend working on her science project altogether is 56 minutes.
How to calculate the value?From the information, Abby spent 22 minutes working on her science project yesterday and 34 minutes working on today.
Therefore, the time used altogether will be the addition of the time used for both occasions
= 22 minutes + 34 minutes
= 56 minutes
This illustrates addition.
Learn more about time on:
brainly.com/question/26046491
#SPJ1
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= 1 + sin cos
sin'0 - cos'
sin - cos
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i.
(sec X - tan xy
- Sin x
1 + sin x
1.
1 * sin - sine
1 - cos
= (cot - cosec )
1 + cos e
k.
cos
cos
Answer:
type question correctly
Step-by-step explanation:
I will help you
Solve for x.
7 - (2x + 11) + 3(3 - x) = 20
Answer:
your answer should be x = -3
Answer:
x=-3
Step-by-step explanation:
7-2x-11+9-3x=20
5-5x=20
-5x=15
x=-3
list the angles in order from the largest to the smallest and explain
Answer:
The correct answer is= ASolutionAngle A is opposite to side BCAngle B is opposite to side CAAngla C is opposite to side BCIn triangle, the largest angle will be opposite the largest side. So Angle A is the largest angle.Angle B is the second largest and Angle C is the smallest.The difference between 6 times a number and 10 is 32. Find the number. (I also need the equation)
plz answer asap only if you are correct!
Answer:
i am correct :))))))))))) hope this helped
Helppppppp circle theorems
Answer:
m=14°, n=28°
Step-by-step explanation:
Angles in a Circle
The central angle is formed between two radii and its vertex at the center of the circle.
An inscribed angle is formed between two chords whose vertex lies on the circumference of a circle.
The measure of the central angle a formed by the same lines that form an inscribed angle b is:
a = 2b
This means the angle of a = 98° is double of the inscribed angle of 35°+m:
98 = 2(35 + m)
Dividing by 2:
49 = 35 + m
Solving for m:
m = 49 - 35 = 14
m = 14°
Angles m and n are also formed by the same lines, and:
n = 2m
Thus:
n = 28°
Answer: m=14°, n=28°
Which fraction is represented by point A on the number line?
0
A
O-1
win W
1
3
Answer:
B
Step-by-step explanation:
it is
Can anyone simplify
3y+2y+y
Answer:
there all the same variables so it'll be 6y
A car travels at a constant speed of 45 km per hour for 5 min each wheel has a radius of 25 centimeters calculate the number of complete revolutions that the wheel makes in 5 min
Answer:
477.47 revolutions
Step-by-step explanation:
From the information given:
The formula for calculating the circumference = 2π r
Given that the radius of each wheel = 25 centimeter
Then, the circumference = 2 π (25)
= 50π cm
The distance traveled in 5 minutes is as follows:
Given that:
The speed = 45 km/ hour
i.e.
1 hour = 45 km
In an hour, we have 60 minutes
So, 60 minutes = 45 km
1 minute = 45/60 = 0.75 km
To cm;
0.75 km = (0.75 × 1000) m = 750 m
750 m = 750 × 100 = 75,000 cm
∴
The number of revolution in 5 minutes sInce 1 revolution = 50π cm is:
= 75,000 cm/ 50π cm
= 477.47 revolutions in 5 minutes
5(x + 4) help plssssss
Answer:
5x + 20
Step-by-step explanation:
5(x +4)
= 5x + 20
multiply x + 4 by 5
If each container holds 2 L 255 mL of water, how much water would be in 609 identical
containers? Find the difference between the two numbers, then explain how you got
your answer (which strategy you used and how you knew that one would work).
Answer:
one cup is bigger
Step-by-step explanation:
Each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. Last year, Dr. Potter gave a total of 606060 vaccinations that consisted of a total of 184 doses. How many polio vaccinations and how many measles vaccinations did Dr. Potter give last year?
I think there is a little error in your question. I guess You mean 60 vaccinations instead of 606060. I solved using 60 vaccinations.
Answer:Dr. Potter gave 32 polio vaccines and 28 measles vaccinations that year.
Step-by-step explanation:
STEP 1
Let number of polio vaccines be x
and number of measles vaccine be y
such that
total does of 60 vaccinations be expressed as
x+y = 60---- equation 1
And number of doses for both vaccine to total 184 doses taken be expressed as
4x + 2y= 184 ---- equation 2
Step 2--- solving
x+y = 60---- equation 1
4x + 2y= 184 ---- equation 2
Making x the subject of formula in equation 1 and substituting it in equation 2
x= 60-y
4(60-y) +2y- 184
240-4y+2y=184
240-184= 4y-3y
56= 2y
y= 58/2 = 28
To get x , put the value of y=28 in equation 1 and solve
x+y=60
x=60-28
x=32
Therefore Dr. Potter gave 32 polio vaccines and 28 measles vaccinations that year.
multiply this please
Answer: C is the answer hope this helps!
Step-by-step explanation: Merry Christmas!
Answer:
A. 12x^4 + 10x^3 - 22x^2 - 15x
Step-by-step explanation:
(6x^2 - 4x - 5)(2x^2 + 3x)
2x^2 (6x^2 - 4x - 5) + 3x(6x^2 - 4x - 5)
12x^4 - 8x^3 - 10x^2 + 18x^3 - 12x^2 -15x
12x^4 + 10x^3 - 22x^2 - 15x
On Saturday, many tickets fir a hockey game were sold. Children and adult were in the ratio of 4:7. There are 88 tickets in total. How many adult tickets were sold?
Answer:
56 adult tickets were sold
Step-by-step explanation:
Ratio of ticket sold to Children and adult is in the ratio 4 : 7
Total ratio = 4 +7 = 11
Ratio of adult = 7
Total ticket sold = 88
Number of adult tickets sold = Ratio of adult/Total ratio * Total ticket sold
Number of adult tickets sold = 7/11 * 88
Number of adult tickets sold = 7 * 8
Number of adult tickets sold = 56 tickets
Hence 56 adult tickets were sold