the bag of skittles has 3 parts red skittles , 5 parts yellow skittles and 7 parts orange skittle. Represent this ratio three ways;visually, using ratio notation and using fraction notation
Step-by-step explanation:
Given that,
The bag of skittles has 3 parts red skittles, 5 parts yellow skittles and 7 parts orange skittle.
Ratio notation is= 3:5:7
Frction notation,
Red skittle[tex]=\dfrac{3}{3+5+7}=\dfrac{1}{5}[/tex]
Yellow skittle [tex]=\dfrac{5}{3+5+7}=\dfrac{1}{3}[/tex]
Orange skittle [tex]=\frac{7}{3+5+7}=\dfrac{7}{15}[/tex]
Hence, this is the required solution.
Six oranges in a bag of 30 oranges are bad. Express the number of bad oranges as a fraction in its lowest terms
Answer:
1
5
is the answer
Step-by-step explanation:
hope it helps you!
add 8/9 + 7/9 Simplify the answer and write as a mixed number.
Answer:
[tex]1\frac{6}{9}[/tex]
Step-by-step explanation:
[tex]\frac{8}{9}+\frac{7}{9}[/tex]
[tex]\frac{8+7}{9}=\frac{15}{9}=1\frac{6}{9}[/tex]
The probability that a certain football team wins a match is 2/3.Given that the team plays 4 matches, find the probability that the team wins 1)more than half of the number of matches played
Answer:
The probability is 32/81
Step-by-step explanation:
We know that:
The probability that the team wins is p = 2/3
Then the probability of not winning is q = 1 - p = 1 - 2/3 = 1/3
The team plays 4 matches.
We want to find the probability that the team wins 1 more than half of the number of matches played.
So if there are 4 matches, the half is 2 matches
one more than half is then 3 matches.
Let's assume that the team wins the first 3 matches, and does not win the last match.
match one, the team wins with prob: P₁ = 2/3
match two, the team wins with prob: P₂ = 2/3
match three, the team wins with prob: P₃ = 2/3
match four, the team wins with prob: P₄ = 1/3
The joint probability is the product of all the individual probabilities:
P = (2/3)*(2/3)*(2/3)*(1/3)
Now we must also considerate the permutations, we have the cases:
the team does not win the fourth match
the team does not win the third match
the team does not win the second match
the team does not win the first match
So we have just four permutations, then the total probability is:
probability = 4*P = 4*(2/3)*(2/3)*(2/3)*(1/3) = 4*(8/81) = (32/81)
George is bringing granola bars and apples for his classmates at school. Apples cost $0.75 each, and granola bars cost $0.15 each. George will bring 60 total items to school and spend a total of $21.00. Which system of equations best represents how to find the number of apples, A, and the number of granola bars, G
Answer:
60
Step-by-step explanation:
The system of equation to find the number of apples and number of granola bars is: [0.75x + (9 - 0.15x)] = 21.00
The number of apples is 20 and the number of granola bars is 40.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."
George will bring 60 total items to school
Let, George will bring 'x' apples.
Therefore, he will bring (60 - x) granola bars.
Given, apples cost $0.75 each, and granola bars cost $0.15 each.
Therefore, cost of all apples is $0.75x.
Cost of all granola bars is:
= $(60 - x) × 0.15
= $(9 - 0.15x)
The system of equation to find the number of apples and number of granola bars is: [0.75x + (9 - 0.15x)] = 21.00
Now, [0.75x + (9 - 0.15x)] = 21.00
⇒ [0.75x - 0.15x] = 21.00 - 9
⇒ 0.6x = 12.00
⇒ x = (12.00 ÷ 0.6)
⇒ x = 20
Therefore, the number of apples George will bring to school is 20.
Now, the number of granola bars George will bring to school is (60 - 20) = 40.
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verify that :- 5/8x(7/9-11/6)=(5/8x7/9)-(5/8x11/6)
please answer
What is the range of the function on the graph?
у
5
all real numbers
3
2
all real numbers greater than or equal to 0
O all real numbers greater than or equal to 1
all real numbers greater than or equal to 2
1
1
-5 -4 -3 -2 -11 + 1 2 3 4 5 X
-2-
-3
4+
Answer:
D. all real numbers greater than or equal to 2
Step-by-step explanation:
Range values consists of all possible set of y-value plotted on the vertical axis. So, we are looking at the y-values on the y-axis (vertical axis).
The line starts at 2 on the y-axis. The shaded "o" means that 2 is included or the range of the function is 2 or above.
Thus, this means that:
the range of the function of the graph are "all real numbers greater than or equal to 2."
The Range of the function are all real numbers greater than or equal to 2
Range of a functionThe Range of a function is the output values or values of the dependent variable of a function.
Since the y - axis represents the dependent variable, the Range of the function is the values of y given from the graph. The values of y given from the graph range from and include 2 to ∞. The value 2 is included since it is shaded.
So, the Range of the function are all real numbers greater than or equal to 2
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Which of the following is NOT an example of a contract?
lease
credit card
borrowing lunch money
rental
I'LL MARK FIRST CORRECT ANSWER BRAINLIEST !!!
Faith makes greeting cards with colored paper. She plans to make 15 of the cards out of red paper. She has 25 sheets of colored paper in all. If she uses all the colored paper she has, how many sheets are a color other than red?
a. 5
b. 20
d. 25
c. 125
ps: any incorrect, irrelevant, plagiarized, or absurd, will be reported! sorry for the inconvenience !
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
Step-by-step explanation:
First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle
in ΔDEF we have 180 -68 -81 = 31°
in ΔABC we have 180 -68 -33 = 79°
the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.
Name the marked angle in 2 different ways.
Answer:
∠XWV ∠UWV
Hope this helps! :)
Grade 10 Math. Solve for y. Will mark right answer brainliest :)
Answer:
y=5, y=[tex]\frac{38}{11}[/tex]
Step-by-step explanation:
Hi there!
We are given the equation
[tex]\frac{y+2}{y-3}[/tex]+[tex]\frac{y-1}{y-4}[/tex]=[tex]\frac{15}{2}[/tex] and we need to solve for y
first, we need to find the domain, which is which is the set of values that y CANNOT be, as the denominator of the fractions cannot be 0
which means that y-3≠0, or y≠3, and y-4≠0, or y≠4
[tex]\frac{y+2}{y-3}[/tex] and [tex]\frac{y-1}{y-4}[/tex] are algebraic fractions, meaning that they are fractions (notice the fraction bar), but BOTH the numerator and denominator have algebraic expressions
Nonetheless, they are still fractions, and we need to add them.
To add fractions, we need to find a common denominator
One of the easiest ways to find a common denominator is to multiply the denominators of the fractions together
Let's do that here;
on [tex]\frac{y+2}{y-3}[/tex], multiply the numerator and denominator by y-4
[tex]\frac{(y+2)(y-4)}{(y-3)(y-4)}[/tex]; simplify by multiplying the binomials together using FOIL to get:
[tex]\frac{y^{2}-2y-8}{y^{2}-7y+12}[/tex]
Now on [tex]\frac{y-1}{y-4}[/tex], multiply the numerator and denominator by y-3
[tex]\frac{(y-1)(y-3)}{(y-4)(y-3)}[/tex]; simplify by multiplying the binomials together using FOIL to get:
[tex]\frac{y^{2}-4y+3}{y^{2}-7y+12}[/tex]
now add [tex]\frac{y^{2}-2y-8}{y^{2}-7y+12}[/tex] and [tex]\frac{y^{2}-4y+3}{y^{2}-7y+12}[/tex] together
Remember: since they have the same denominator, we add the numerators together
[tex]\frac{y^{2}-2y-8+y^{2}-4y+3}{y^{2}-7y+12}[/tex]
simplify by combining like terms
the result is:
[tex]\frac{2y^{2}-6y-5}{y^{2}-7y+12}[/tex]
remember, that's set equal to [tex]\frac{15}{2}[/tex]
here is our equation now:
[tex]\frac{2y^{2}-6y-5}{y^{2}-7y+12}[/tex]=[tex]\frac{15}{2}[/tex]
it is a proportion, so you may cross multiply
2(2y²-6y-5)=15(y²-7y+12)
do the distributive property
4y²-12y-10=15y²-105y+180
subtract 4y² from both sides
-12y-10=11y²-105y+180
add 12 y to both sides
-10=11y²-93y+180
add 10 to both sides
11y²-93y+190=0
now we have a quadratic equation
Let's solve this using the quadratic formula
Recall that the quadratic formula is y=(-b±√(b²-4ac))/2a, where a, b, and c are the coefficients of the numbers in a quadratic equation
in this case,
a=11
b=-93
c=190
substitute into the formula
y=(93±√(8649-4(11*190))/2*11
simplify the part under the radical
y=(93±√289)/22
take the square root of 289
y=(93±17)/22
split into 2 separate equations:
y=[tex]\frac{93+17}{22}[/tex]
y=[tex]\frac{110}{22}[/tex]
y=5
and:
y=[tex]\frac{93-17}{22}[/tex]
y=[tex]\frac{76}{22}[/tex]
y=[tex]\frac{38}{11}[/tex]
Both numbers work in this case (remember: the domain is y≠3, y≠4)
So the answer is:
y=5, y=[tex]\frac{38}{11}[/tex]
Hope this helps! :)
PLEASE HELP WILL MARK BRAINLIEST - An airplane travels 150 miles horizontally during a decrease of 35,000 feet vertically.
1. What is the angle of descent?
2. How long is the plane's path?
Answer:
[tex]\text{1. }2.53^{\circ},\\\text{2. }792,772.98\:\mathrm{ft}[/tex]
Step-by-step explanation:
Start by converting miles to feet:
[tex]150\text{ miles}=150\cdot 5280\text{ feet}=792000\text{ feet}[/tex]
Form a right triangle with the plane's displacement marking the hypotenuse of this triangle. We can now use basic trig for a right triangle to solve for the angle of descent.
Let the angle of descent be [tex]\theta[/tex]. In a right triangle, the tangent of an angle is equal to its opposite side divide by its adjacent side.
Therefore, we have:
[tex]\tan \theta=\frac{35000}{792000},\\\\\theta =\arctan(\frac{35000}{792000})=2.53036411\approx \boxed{2.53^{\circ}}[/tex]
In all right triangles, [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle (Pythagorean Theorem).
Therefore, the length of the plane's path is:
[tex]35,000^2+792,000^2=c^2,\\c^2=628489000000,\\c=\sqrt{628489000000}=792772.981376\approx \boxed{792,772.98\:\mathrm{ft}}[/tex]
helppppppppppppppppppppppppp
Answer:
C
Step-by-step explanation:
11 times 11 = 121
11 times 12 equals 132
11 times 13 = 143
Answer:
13
Step-by-step explanation:
11x13 is 143 heidnehf
The sides of a number cube are labeled 1 through 6.
Suppose you toss the cube 600 times. About how many times
would you expect the cube to land on 1?
Answer:
100 times for 1
Step-by-step explanation:
If the cube is a fair one, you would expect it to land on each number about 1/6 of the time. Since 1 is one of the faces, you would expect to land on it 1/6 of the time.
(1/6)*600=100
So any number should land 100 times
Round to 3 SF
0.0692494
rounding 0.0692494 to 3SF is 0.069
Help please will be marked as brainliest if correct.
Answer:
5
Step-by-step explanation:
Greater than 0
Less than 100
Is not 4, but is greater than four
Is less than 5.5
Must be a whole number
5 is the only whole number between 4 and 5.5
What percent is represented by the shaded area?
Answer:91%
Step-by-step explanation:
The spinner depicted is a fair spinner. The spinner is least likely to land on which number?
A 1
B 2
C 3
D It is impossible to tell.
Answer:
d
Step-by-step explanation:
it is impossible to tell since no numbers were given nor signs were offered to help us know whether we are dealing with additon , subtraction , multiplication or division
Choose an equation of a line through the point (-4, -2) parallel to y=14x−3.
An equation of the line through the point (-4, -2) parallel to y = 14x - 3 is 14x - y = 54.
To find an equation of a line through the point (-4, -2) that is parallel to the line y = 14x - 3, we can use the fact that parallel lines have the same slope.
The given line y = 14x - 3 is in slope-intercept form, y = mx + b,
where m represents the slope.
In this case, the slope is 14.
Since the desired line is parallel to the given line, it will also have a slope of 14.
Therefore, the equation of the line can be written as:
y - y1 = m(x - x1),
where (x1, y1) represents the coordinates of the given point (-4, -2), and m represents the slope.
Substituting the values into the equation, we have:
y - (-2) = 14(x - (-4)).
Simplifying this equation gives:
y + 2 = 14(x + 4).
Expanding the right side of the equation:
y + 2 = 14x + 56.
Finally, rearranging the equation to the standard form, we have:
14x - y = 54.
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The two lines shown below are perpendicular. If the slope of the red line is 4,
what is the slope of the green line? Use a slash mark (/) as a fraction bar if
necessary.
D was 4
Answer:
C
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
Given the slope of the red line is 4 , then the slope of the green line is
m = - [tex]\frac{1}{4}[/tex] → C
The slope of the green line is C (m = -1/4 )
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
The slope of the line is calculated as follows:
m = Δy/Δx
We are Given a line with slope m then the slope of a line perpendicular to it is m
m (perpendicular) = -1/m
Given the slope of the red line is 4 , then the slope of the green line is;
m = -1/4
Therefore the slope of the green line m = -1/4.
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Which of the following determines a plane?
Answer:
Answer B
3 non collinear point
if 2x + 3y = 12 and xy = 6, find the value of 8x^3 + 27y^3
Answer:
The value of [tex]8\cdot x^{3} + 27\cdot y^{3}[/tex] is 432.
Step-by-step explanation:
Let be the following system of equations:
[tex]2\cdot x + 3\cdot y = 12[/tex] (1)
[tex]x\cdot y = 6[/tex] (2)
Then, we solve both for [tex]x[/tex] and [tex]y[/tex]:
From (1):
[tex]2\cdot x + 3\cdot y = 12[/tex]
[tex]2\cdot x = 12- 3\cdot y[/tex]
[tex]x = 6 - \frac{3}{2}\cdot y[/tex]
(1) in (2):
[tex]\left(6-\frac{3}{2}\cdot y \right)\cdot y = 6[/tex]
[tex]6\cdot y-\frac{3}{2}\cdot y^{2} = 6[/tex]
[tex]\frac{3}{2}\cdot y^{2}-6\cdot y + 6 = 0[/tex]
The roots of the polynomial are determined by the Quadratic Formula:
[tex]y_{1} = y_{2} = 2[/tex]
By (1):
[tex]x = 6 - \frac{3}{2}\cdot (2)[/tex]
[tex]x = 3[/tex]
If we know that [tex]x = 3[/tex] and [tex]y = 2[/tex], then the final value is:
[tex]z = 8\cdot x^{3}+27\cdot y^{3}[/tex]
[tex]z = 8\cdot 3^{3}+27\cdot 2^{3}[/tex]
[tex]z = 432[/tex]
The value of [tex]8\cdot x^{3} + 27\cdot y^{3}[/tex] is 432.
Question 9 Multiple Choice Worth 1 points)
(01.06 MC)
Solve the following equation for x: 2x + 5y = 8.
Answer:
x = 4 - 5/2 y
Step-by-step explanation:
2x + 5y = 8.
Subtract 5x from each side
2x + 5y -5y = 8-5y
2x = 8 -5y
Divide each side by 2
2x/2 = (8-5y)/2
x = 4 - 5/2 y
Answer:
x=[tex]\frac{-5y}{2}[/tex]+4
Step-by-step explanation:
Hi there!
We're given the equation 2x+5y=8 and we want to solve it for x
as we don't know the value of y, x won't actually be a number (it'll be an expression instead). However, we will solve this as if it was a regular equation by isolating x onto one side
here's the given equation
2x+5y=8
start by subtracting 5y from both sides
2x=-5y+8
divide both sides by 2
x=[tex]\frac{-5y}{2}[/tex]+4
Hope this helps!
Over which interval does f have an average rate of change zero?
A. -3≤x≤5
B. -5≤x≤3
C. 2≤x≤4
D. -3≤x≤-1
Answer:
Step-by-step explanation:
The average rate of change is the slope. Slope has a formula that is the change in y over the change in x, which is a fraction. The only time a fraction can have a vlue of 0 is where the numerator of the fraction is equal to 0 (since we are not allowed to have a denominator of 0). If the change in y is in the top of the slope fraction, then we have to find the interval where the y values are the same. I'll show you one where the y values are not the same so you can compare it to the slope where the y values are the same. We will find the slope of choice A.
When x = -3, y = 0 so the coordinate is (-3, 0).
When x = 5, y = 5 so the coordinate is (5,4). Now let's find the slope (aka average rate of change) between those 2 coordinates:
[tex]m=\frac{4-0}{5-(-3)}=\frac{4}{8}=\frac{1}{2}[/tex] and the top of the fraction is a 1, not a 0, so the average rate of change between these 2 points is 1/2, not 0. Now let's do D.
When x = -3, y = 0 so the coordinate is (-3, 0).
When x = -1, y = 0 so the coordinate is (-1, 0). The slope between these 2 points is
[tex]m=\frac{0-0}{-1-(-3)}=\frac{0}{2}=0[/tex] This fraction is equal to 0 because the numerator is 0. Choice D is the one you want.
What are the five key points that you need to find for any given set of numbers in order to draw a Box plot for the data. Write the answer. Help
The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile.
Why is making a record of withdrawals and deposits in your checkbook register a good practice?
Answer:
it helps you balance your checkbook
Step-by-step explanation:
Balancing your checkbook means that you do a check in your account that shows how much money is available.
I hope it helps❤️
HELPPP ASAPPP PLAESE HELPP
Answer:
first question answer is step 2 and second step is answer step 3, last one is step is answer step 1
In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg? O A. sqrt2:1 O B. 1:1 Oc. C. 2:1 O D. 1:sqrt2
Answer:
B. 1 : 1
Step-by-step explanation:
the triangle has the same size of legs (the same angles 45°)
Which multiplication equation is false?
A) (-a)*(-1)=(-a)
B) (-a)*0=0
C) (-a)*1=(-a)
D) (-a)*b=b*(-a)
Answer:
A is wrong
Step-by-step explanation:
Answer:
A(-a)*(-1)=(-a)
Step-by-step explanation:
Anything multiplied by 0 is 0. Therefore, option B is correct.
Option A is wrong because when multiplying two negatives you should get a positive not a negative.
Anything multiplied by 0 is 0. Therefore, option B is correct
Option C is correct because a negative times a positive gives a positive.
Option D is correct because you can't solve for different times being multiplied you can only combine like terms therefore your answer will equal the same result here.