lauren bought 6 yellow roses, 10 orange roses, 12 pink roses to make a bouqet. what is the ratio of the number yellow roses to the total number of roses in lauren's bouquet?
Answer:
The ratio is 3 : 14 .
Step-by-step explanation:
Given that there are 6 yellow, 10 orange and 12 pink roses.
So there are a total of 28 roses, 6+10+12 = 28.
The question wants the ratio of yellow roses to total roses so, the ratio is 6 : 28.
Next, you have to give in simplest form where you have to divide 2 which is 6/2 : 28/2 equals to 3 : 14.
This for math. Rewriting Fractions
How do you decide which number to use in the Giant One?
Answer:
factor of hundred is
100 - 1, 2,4,5,10,100
Which of the following is equal to the expression below?
(625x48)^1\4
Answer:
Step-by-step explanation:
Factorize 625 & 48
625 = 25 * 25 = 5 * 5 * 5 * 5 = 5⁴
48 = 16 * 3 = 2 * 2 * 2 * 2 *3 = 2⁴ * 3
[tex]\sqrt[4]{625*48} = \sqrt[4]{5^{4} * 2^{4} * 3}=5*2\sqrt[4]{3}[/tex] =[tex]10\sqrt[4]{3}[/tex]
PLEASE HELP Rearrange the equation so r is the independent variable. 10q - 5r = 30
Answer:
r = 2q - 6
Step-by-step explanation:
10q - 5r = 30
-10q -10q
-5r = -10q + 30
/-5 /-5 /-5 -10/-5 = 2 30/-5 = -6
r = 2q - 6
Convert the angle 4.5 radians to degrees, rounding to the nearest 10th
Answer:
257.8
Step-by-step explanation:
The angle of 4.5 radians is approximately equal to 257.8 degrees.
How to convert radians to degrees?The formula to convert radians to degrees is written as follows:
degrees = radians x (180/π)
where π (pi) is approximately 3.14159.
To convert 4.5 radians to degrees, we can use the conversion factor 180/π, which is the number of degrees in one radian.
degrees = 4.5 x (180/π)
degrees ≈ 257.87 degrees (rounded to the nearest 10th).
Therefore, the angle of 4.5 radians is approximately equal to 257.8 degrees.
Learn about the conversion of radians to degrees here:
https://brainly.com/question/31673497
#SPJ2
Explain the Golden Rule for solving equations using an example. NEED HELP QUICK
Answer:
See explanation
Step-by-step explanation:
The golden rule for solving equations is to
A. Simplify each side of the equation by removing parentheses and combining like terms
B. Add/Subtract to isolate the term with the variable on one side
C. Use multiplication/division to isolate the variable
Let's assume we have the equation [tex]2x + 3x + (5\cdot2) = 35[/tex]
The first thing we need to do is solve inside the parentheses and combine like terms. 2x and 3x are like terms, so:
[tex]2x + 3x + 10 = 35\\\\5x + 10 = 35[/tex]
Now we have to subtract/add to isolate the term with the variable. To do this, we can subtract 10 from both sides.
[tex]5x + 10 - 10 = 35-10\\\\5x = 25[/tex]
Now we divide to isolate x.
[tex]5x \div 5 = 25\div5\\\\x = 5[/tex]
Hope this helped!
s the a discrete random variable, a continuous random variable, or not a random variable? exact time it takes to evaluate 27 + 72 A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable.
Answer: B. It is a continuous random variable.
Step-by-step explanation:
A continuous random variable is a random variable where the data or value can assume infinitely many values ( meaning it’s a continuous set of data. )
For example a random variable measuring the time taken for someone to cook rice is continuous since there are an infinite number of possible times that can be done.
Answer:
its b i got it right
Step-by-step explanation:
Help now. a storage tank in the shape of a cuboid of base 2.5 m by 2 m can hold up to 7500 litres of water. Calculate the height of the tank.
Answer:
Height of the tank is 1.5m
Step-by-step explanation:
Given
Shape: Cuboid
Base Dimension = 2.5m by 2m
Volume = 7500 litres
Required
Determine the height of the tank
First, the area of the base has to be calculated;
[tex]Area = 2.5m * 2m[/tex]
[tex]Area = 5.0m^2[/tex]
Next is to calculate the height using volume formula;
[tex]Volume = Area * Height[/tex]
Recall that Volume = 7500L [Convert to m³]
[tex]1 L = 0.001m^3[/tex]
So;
[tex]7500L = 7500 * 0.001m^3[/tex]
[tex]7500L = 7.5m^3[/tex]
Hence;
[tex]Volume = 7.5m^3[/tex]
Substitute 7.5m³ for Volume and 5.0m² for Area in the following formula
[tex]Volume = Area * Height[/tex]
[tex]7.5m\³ = 5.0m\² * Height[/tex]
Divide both sides by 5.0m²
[tex]\frac{7.5m\³}{5.0m\²} = \frac{5.0m\² * Height}{5.0m\²}[/tex]
[tex]\frac{7.5m\³}{5.0m\²} = Height[/tex]
[tex]1.5m = Height[/tex]
[tex]Height = 1.5m[/tex]
Hence, the height of the tank is 1.5m
please help me on this geometry i’ll mark you the brainliest
Answer:
x = 14
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
7x - 3 is an exterior angle of the triangle, thus
7x - 3 = 4x - 2 + 41
7x - 3 = 4x + 39 ( subtract 4x from both sides )
3x - 3 = 39 ( add 3 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
If m_ABD
-
83° and m ABC = (x + 10) and mZDBC
(2 + 10) and mZDBC = (4x – 12), what is the measure of each angle?
B
Enter the correct numbers in the boxes.
lo
mABC -
mZDBC =
Answer:
m<ABC=27°
m<DBC=56°
Step-by-step explanation:
(x+10)+(4x-12)=83
5x-2=83
5x=83+2
5x=85
x=17
m<ABC=(x+10)=(17+10)=27°
m<DBC=(4x-12)=(4*17-12)=56°
Standard form please help explanation not needed
Answer:
0.0003652
Step-by-step explanation:
3.652 * [tex]10^{-4} = \frac{3.652}{10^{4}}= \frac{3.652}{10000}=0.0003652[/tex]
Plz help ASAP Will mark brainliest!!!!!!
Answer:
Option C
Step-by-step explanation:
If we see, the order is that:
if 1 green block increases, then 1 blue block will increase in the next.
Since, 1 green block increased, so 1 blue block will increase in the next.
So, the answer is C.
10 People fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is 5 feet deep on both sides of the street along a 2-mile section of a parade route.
Answer:
The size of the crowd that is 5 feet deep on both sides of the street along a 2-mile section of a parade route is 42,240 people
Step-by-step explanation:
The number of people that can fit comfortably in a 5 feet by 5 feet area = 10
Therefore;
The ratio of the number of people per unit area = 10/(5 × 5) = 10/25
The area, A, occupied by the crowd = 5 feet × 2 mile × 2
2 miles = 10,560 feet
∴ A = 5 feet × 10,560 feet × 2 = 105,600 ft²
We then have;
[tex]\dfrac{Number \ of \ people}{105,600} =\dfrac{10}{25}[/tex]
[tex]Number \ of \ people = {105,600} \times \dfrac{10}{25} = 42,240 \ people[/tex]
what is 6 x2 simplified?
Answer:
12?
Step-by-step explanation:
Answer:
12, 6 x 2 =12
a perfect is to be chosen from a class of 16 girls and 14 boys.what is the probability that the prefect is a girl
Answer:
8/15Step-by-step explanation:
[tex]16\:girls \\14\:boys\\\\Probability = \frac{Event}{Total \:possible\:outcome}\\\\ Event=16\\\\ Total\:possible\:outcome = 16+14=30\\\\P = \frac{16}{30}\\ \\Probability = \frac{8}{15}[/tex]
Please turn this word problem into an equation.... Braden and Michael are running laps. Braden runs 3 less than twice as many as Michael. Together they run 12 laps.
Answer: x+ 2x -3 = 12
Step-by-step explanation:
x represents Michael's laps. 2x -3 represents Braden's laps. Added together for a total of 12
One step further would be to combine the x terms, so the equation becomes 3x - 3 = 12
I NEED HELP, I'VE BEEN STUCK ON THIS...Find the volume of this triangular prism. Enter only the numerical part of your answer in square units.
Answer:
[see below]
Step-by-step explanation:
Volume of a triangular prism is: [tex]V=\frac{1}{2}bhl[/tex]
We are given the base of 5, the length of 12, and the height of 8. All measurements are in meters.
[tex]V=\frac{1}{2}(5*12*8)\\\\V=\frac{1}{2}(480)\\\\V=240[/tex]
The volume of the prism should be 240 square meters.
Answer:
V = 240 m^3
Step-by-step explanation:
The volume of a triangular prism is
V = Bh where B is the area of the base and h is the height
B = the area of the triangular base
B = 1/2 bh
B = 1/2 *5*12
B = 30 m^2
The volume is
V = 30 * 8
V = 240 m^3
Write the interval-25 < x < 30
using set notation and interval
notation.
Answer:
Set notation: { x ∈ ℝ | -25 < x < 30 }
Interval notation: (-25, 30)
Step-by-step explanation:
In set notation,
"x ∈ ℝ" means "x is an element of all real numbers"
you then write the restrictions after that, which would be "-25 < x < 30"
this gives you { x ∈ ℝ | -25 < x < 30 },
"x is an element of all real numbers, such that x is larger than -25 and less than 30"
In interval notation, it is written as (-25, 30). The parentheses mean that the interval does not include the numbers -25 or 30.
If the interval does include those numbers, i.e. if it was "-25 ≤ x ≤ 30" instead of "-25 < x < 30" you would use brackets instead of parentheses,
giving you {-25, 30}.
hi plz help me with this geometry question
Answer:
Approximately 54°
Step-by-step explanation:
So we know Angle A, the side opposite to Angle A, and the side opposite to Angle B (the angle we want to find). Given these circumstances, we can use the Law of Sines.
The Law of Sines states that:
[tex]\frac{\sin(A)}{a} =\frac{\sin(B)}{b} =\frac{\sin(C)}{c}[/tex]
The variables do not really matter. Instead, it's more important that the angle corresponding to the side lines up with each other.
Anyways, since we know Side A, Angle A, and Side B, let's use the first and second ratios:
[tex]\frac{\sin(A)}{a} =\frac{\sin(B)}{b}[/tex]
Plug in 80° for A, 11 for a, and 9 for b:
[tex]\frac{\sin(80)}{11} =\frac{\sin(B)}{9}[/tex]
Cross multiply to solve for B:
[tex]9\sin(80)=11\sin(B)[/tex]
Divide both sides by 11:
[tex]\sin(B)=\frac{9\sin(80)}{11}[/tex]
Use the inverse sine function. And finally, use a calculator to solve:
[tex]\angle B =\sin^{-1}(\frac{9\sin(80)}{11} )\\\angle B\approx53.6829\textdegree\approx54\textdegree[/tex]
Suppose a student picks 2 points at random from A, B, C, and D shown below. Find the probability that these randomly chosen points are collinear
Answer:
The image is not shown, but this can be answered.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
This says that, for any given two points, we can find a line that passes through both of them.
Then we have that two points are ALWAYS collinear.
Then does not matter which points the student chooses, because we can find a line that passes through them, then the probability that these randomly chosen points are collinear is 1 or 100% in percentage form.
Write a life situation for the inequality x<2
Answer:
see below (I hope this helps!)
Step-by-step explanation:
A real-life situation for this inequality could be "Tom runs a lemonade stand. His profit is x. If Tom knows that his profit is less than 2 dollars, what inequality represents this situation?"
Please help me with this question ASAP.
How many planes of symmetry are there in a regular hexagonal prism?
Answer:
we have 6 planes of symmetry
Evaluate the Expression using the given values:
3x + y; use x =
1 and y.= 3
Answer:
6
Step-by-step explanation:
3x + y =
= 3(1) + 3
= 3 + 3
= 6
change to a whole number or mixed number 12/7
Answer:
1 5/7
Step-by-step explanation:
[tex]\frac{12}{7} \\= 12\div 7 = 1\: remainder\: 5\\\\= 1 \frac{5}{7}[/tex]
Answer: 1 and 5/7
Step-by-step explanation: To write an improper fraction as a mixed number,
divide the denominator into the numerator.
So here, we have 7 divided into 12.
7 divides into 12 one time, 1 × 7 is 7, and 12 - 7 is 5.
So 7 divides into 12 one time with a remainder of 5.
So we have 1 whole and 5 out of 7 parts or 1 and 5/7.
So the improper fraction 12/7 can be written
as the mixed number 1 and 5/7.
Solve this equation
[tex]15x + 2 = 58[/tex]
━━━━━━━☆☆━━━━━━━
▹ Answer
3.73 or 3 11/15
▹ Step-by-Step Explanation
15x + 2 = 58
Do the inverse operation (subtract 2 from both sides)
2 - 2 = na
58 - 2 = 56
15x = 56
Divide 15 on both sides:
15/15 = x
56/15 = 3.73 or 3 11/15
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
0.227 convert into rational number
Answer:
[tex]\frac{227}{1000}[/tex]
Step-by-step explanation:
A rational number has the form
[tex]\frac{a}{b}[/tex] where a and b are integers
Given
0.227 ← with the 7 in the thousandths place value position, then
= [tex]\frac{227}{1000}[/tex]
The probability of a middle school student owning a skateboard is 0.58, of owning a bicycle is 0.48 and of owning both is 0.45. If a middle school student is chosen at random, what is the probability that the middle school student owns a skateboard or a bicycle?
Answer:
The probability that the middle school student owns a skateboard or a bicycle is 0.61.
Step-by-step explanation:
We are given that the probability of a middle school student owning a skateboard is 0.58, of owning a bicycle is 0.48, and owning both is 0.45.
A middle school student is chosen at random.
Let the probability of student owning a skateboard = P(S) = 0.58
The probability of student owning a bicycle = P(B) = 0.48
The probability of student owning both = P(S [tex]\bigcap[/tex] B) = 0.45
Now, the probability that the middle school student owns a skateboard or a bicycle is given by = P(S [tex]\bigcup[/tex] B)
P(S [tex]\bigcup[/tex] B) = P(S) + P(B) - P(S [tex]\bigcap[/tex] B)
= 0.58 + 0.48 - 0.45
= 0.61
Hence, the probability that the middle school student owns a skateboard or a bicycle is 0.61.
solve inequality 4+2(a+5)<-2(-a-4)
Answer:
x= no real numbers
Step-by-step explanation:
4+2(a+5)<-2(-a-4)
Distribute
4+2*a+2*5<-2*-1-2*-4
Simplify.
4+2a+10<2a+8
14+2a<2a+8
Subtract 2a from both sides
14<8
This is false.
There are no real solutions to the given inequality,
Micheal recorded the number of points his team scored for the first seven basketball games, 64,58,60,52,56,62,54 Which box plot correctly represents the data?
Answer:
The correct box plot is B (Bottom left)
Step-by-step explanation:
I have attached the appropriate picture containing the box plots to this answer. In order to choose the most appropriate box plot, we have to find the median of the distribution and locate the box plot showing the correct median. This is done as follows:
To find the median, we will first arrange the distribution in ascending (or descending) order
Median = 52, 54, 56, 58, 60, 62, 64
Next, we will group the data into two halves, and choose the middle term, which is 58. this becomes the median.
From the diagram, box plots, A, B and C have their median as 58, in order to determine the correct plot, we will find the medians to the lower and upper halves of the distribution. This is done as follows:
Lower half: 52, 54, 56, 58
Median of lower half = (54 + 56) ÷ 2 = 55
upper half = 58, 60, 62, 64
Median of upper half = (60 + 62) ÷ 2 = 61
From the picture the plot with these three medians from lower half to upper half (55, 58, 61) is plot B (bottom left)
Note the medians are the lines that form the boundaries and at the middle of the box.
Answer:
The answer is B bottom left :
one half of 4 times y plus the quantity of y and 3
Answer:
y = -1
Step-by-step explanation:
1/2 of 4y + (y + 3) = 0
1/2 X 4y + (y + 3) = 0
4y/2 + (y + 3) = 2y + y + 3 = 0
3y = -3
∴ y = -1
Answer:
1/2*4*y+(y*3)
1/2*4*y+(3y)
1/2*4y+(3y)
2y+(3y)
=5y
Step-by-step explanation: