Answer:
Yellow: 40Red: 60Step-by-step explanation:
You have to distinguish the difference between a ratio of yellow bulb to red bulb and red bulb to total and yellow bulb to total. The totals are where you start.
2 bulbs out of 5 are yellow
3 bulbs out of 5 are red
Yellow
Set up the proportion for yellow. You could start with red.
2/5 = x / 100 Cross multiply5x = 2 * 100 Combine the right.5x = 200 Divide by 55x/5 = 200/5 Simplifyx = 40 Answer 1. Yellow bulbsRed
3/5 = x / 100 Cross multiply 5x = 3*100 Simplify5x = 300 Divide by 55x/5 = 300/5 Simplifyx = 60 Answer 2. Red bulbs.Note: Yellow to red is 2/3
Suppose a+b=2a which one of these expressions equals b-a
Answer:
0
Step-by-step explanation:
given a + b = 2a ( subtract 2a from both sides )
a - 2a + b = 0
- a + b = 0 ⇒ b - a = 0
Use natural logarithms to solve the equation. Round to the nearest thousandth. 3e^2x +5=27
Answer:
x=0.996
Step-by-step explanation:
[tex]3e^{2x} +5=27[/tex]
To take natural log ln , we need to get e^2x alone
Subtract 5 on both sides
[tex]3e^{2x}=22[/tex]
Now we divide both sides by 3
[tex]e^{2x}=\frac{22}{3}[/tex]
Now we take 'ln' on both sides
[tex]ln(e^{2x})=ln(\frac{22}{3})[/tex]
As per log property we can move exponent 2x before ln
[tex](2x)ln(e)=ln(\frac{22}{3})[/tex]
The value of ln(e) = 1
[tex]2x=ln(\frac{22}{3})[/tex]
Divide both sides by 2
[tex]x=\frac{ln(\frac{22}{3})}{2}[/tex]
x= 0.996215082
Round to nearest thousandth
x=0.996
The quotient of twice a number and 7 is 20
Answer:
the number is 70
Step-by-step explanation:
let unknown number is 'x'
given that 2x/7=20
multiply by 7 both sides
2x=20*7
divide by 2 on both sides
x=(20*7)/2
x=10*7
x=70
If the quotient of twice a number divided by 7 is 20, then the number is 70.
Let the number be represented as x
Twice the number = 2x
Twice a number divided by 7 = 2x/7
The quotient = 20
To get the value of x:
2x/7 = 20
Cross multiply:
2x = 7(20)
2x = 140
x = 140/2
x = 70
Therefore, if the quotient of twice a number divided by 7 is 20, then the number is 70.
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for every 40 phone calls that jess made in a month, she recived 70 phone calls. What is the ratio in simplest form of the number of phone calls made to the number of phone calls jess recieved
4:7
40/10=4
70/10=7
:)
Hope this helped
Answer:
4:7
Step-by-step explanation:
40 divided by 10 = 4
70 divided by 10 = 7
Solve –4(6x + 3) = –12(x + 10).
A. x = 2
B. x = 9
C. x = –5
D. x = 5
Answer:
B
Step-by-step explanation:
distribute parenthesis on both sides of the equation
- 24x - 12 = - 12x - 120 ( add 12x to both sides )
- 12x - 12 = - 120 ( add 12 to both sides )
- 12x = - 108 ( divide both sides by - 12 )
x = 9 → B
Can a triangle have 3 acute angles
Yes a triangle can have three acute angles. One example is a triangle where each angle is 60 degrees. This would be an equilateral triangle.
Note: acute means the angle is less than 90. For any triangle, the three angles always add to 180.
A car's gas tank holds 18 gallons of gas when it is full. If the car 's gas tank is currently 65% full, how many gallons of gas is in the tank?
Help, please! Show the steps, please!
Answer:
11.7 Gallons
Step-by-step explanation:
First turn the percentage into a decimal then multiply it by the whole number which is 18 and you should get 11.7 and that is how many gallons are currently in the tank
Answer:
11.7
Step-by-step explanation:
To solve this problem, we need to find what is 65 percent of 18.
To do this, we can simply multiply 18 by .65. Don't forget the decimal!
The answer is 11.7
Hope this helps! (Brainliest Please!)
PLEASE HELP ME!
Two similar triangles are shown on the following coordinate grid:
Which set of transformations has been preformed on triangle EFG to form triangle E’F’G’?
Answer:
Reflection across y-axis followed by dilation with scale factor 4 and center (0,0).
Step-by-step explanation:
From the given figure it is noticed that the vertices of preimage are E(-2,1), F(-2,0) and G(-3,0). The vertices of image are E'(8,4), F'(8,0) and G'(12,0).
The triangle E'F'G' is enlargement of mirror image of EFG. Therefore reflect the triangle EFG across y-axis. If a point reflects across y-axis, then
[tex](x,y)\rightarrow (-x,y)[/tex]
The new vertices of the triangle are E(2,1), F(2,0) and G(3,0).
Length of FG is 1 unit and length of F'G' is 4 units. The scale factor is
[tex]\frac{F'G'}{FG}=\frac{4}{1}=4[/tex]
Length of OF is 2 unit and length of OF' is 8 units.
[tex]\frac{OF'}{OF}=\frac{8}{2}=4[/tex]
Rule of dilation with scale factor k and origin as center of dilation is defined as
[tex](x,y)\rightarrow (kx,ky)[/tex]
The vertices of image are E'(8,4), F'(8,0) and G'(12,0).
Since the distance ratio of image and preimage from the origin is same as the scale factor, therefore the center of dilation is origin.
Thus, the triangle EFG can form the triangle E’F’G’ using reflection across y-axis followed by dilation with scale factor 4 and center (0,0).
Notes: In this case dilation with scale factor 4 and center (0,0) followed by reflection across y-axis will give the same results.
Answer:
Dilation by a scale factor of 4 followed by reflection about the y-axis
Step-by-step explanation:
Hope this helps
What percent of 1/4 is 2/3 and what percent of 1/6 is 2/3 ?
Answer:
The percentages are 267% and 400% respectively.
Step-by-step explanation:
To find the answers of these, you need to divide the second number by the first. This will give you the percentage.
2/3 ÷ 1/4 = 8/3 = 2.67 = 267%
You can do the same for the second one.
2/3 ÷ 1/6 = 12/3 = 4 = 400%
To determine what percentage 2/3 is of 1/4, calculate (2/3) / (1/4) * 100, resulting in 266.67%. To find the percentage 2/3 is of 1/6, calculate (2/3) / (1/6) * 100, resulting in 400%.
Explanation:Understanding Percentages of FractionsWhen finding the percent of a fraction, you are essentially calculating what part of 100 the fraction represents. To find what percent 2/3 is of 1/4, you need to set up a proportion such that 2/3 is to 1/4 as x is to 100.
To solve this, you divide 2/3 by 1/4 and then multiply by 100:
Percent = (2/3) / (1/4) * 100
Percent = (2/3) * (4/1) * 100
Percent = 8/3 * 100
Percent = 800/3
Percent = 266.67%
Similarly, to find what percent 2/3 is of 1/6, you can use the same approach by dividing 2/3 by 1/6 and then multiplying by 100.
Percent = (2/3) / (1/6) * 100
Percent = (2/3) * (6/1) * 100
Percent = 12/3 * 100
Percent = 400%
Therefore, 2/3 is 266.67% of 1/4, and 400% of 1/6.
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
n an
1 −4
2 20
3 −100
an = −5(−4)n − 1 where n ≥ 1
an = −4(−5)n − 1 where n ≥ 1
an = −4(5)n − 1 where n ≥ −4
an = 5(−4)n − 1 where n ≥ −4
Answer:
B
Step-by-step explanation:
given the first 3 terms of the geometric sequence - 4, 20, - 100
with r = [tex]\frac{-100}{20}[/tex] = [tex]\frac{20}{-4}[/tex] = - 5
the n th term formula ( explicit formula ) is
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] [tex]r^{n-1}[/tex]
here r = - 5 and [tex]a_{1}[/tex] = - 4, hence
[tex]a_{n}[/tex] = - 4 [tex](-5)^{n-1}[/tex] with n ≥ 1
This question is solved using geometric sequence concepts, and doing this, we get that the correct option is:
[tex]a_n = -4(-5)^{n-1}, n \geq 1[/tex], second option
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is the same, called common ration, and the general equation is given by:
[tex]a_n = a_1q^{n-1}, n \geq 1[/tex]
In which [tex]a_1[/tex] is the first term and q is the common ratio.
-------------------------------------------------------
n an
1 −4
2 20
3 −100
First term is -4, so [tex]a_1 = -4[/tex], then:
[tex]a_n = a_1q^{n-1}, n \geq 1[/tex]
[tex]a_n = -4q^{n-1}, n \geq 1[/tex]
The common ratio is:
[tex]q = \frac{-100}{20} = \frac{20}{-4} = -5[/tex]
Thus:
[tex]a_n = -4(-5)^{n-1}, n \geq 1[/tex] is the sequence.
A similar example is given at https://brainly.com/question/24078619
Geometry Unit 7 Lesson 7. Please Help Picture attached.
Answer:
The coordinates of orthocenter of the triangle are (1,5).
Step-by-step explanation:
The given vertices are A(0,6), B(4,6) and C(1,3).
Orthocenter of a triangle is the intersection point of all altitudes.
The product of slopes of two perpendicular lines is -1.
The slope of AB is
[tex]m_{AB}=\frac{y_2-y_1}{x_2-x_1}=\frac{6-6}{4-0}=0[/tex]
The slope of AB is 0, therefore slope of line which is perpendicular to AB is [tex]\frac{-1}{0}[/tex].
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope.
The equation of altitude on AB form C is
[tex]y-3=\frac{1}{0}(x-1)[/tex]
[tex]0=x-1[/tex]
[tex]x=1[/tex] ..... (1)
Slope of BC is
[tex]m_{BC}=\frac{y_2-y_1}{x_2-x_1}=\frac{6-3}{1-4}=1[/tex]
The slope of BC is 1 therefore the slope of altitude on BC from A is -1.
The equation of altitude on BC from A is
[tex]y-6=-1(x-0)[/tex]
[tex]y=-x+6[/tex] ..... (2)
Using (1) and (2) we get
[tex]x=1, y=5[/tex]
The intersection point of two altitudes is (1,5). Therefore coordinates of orthocenter of the triangle are (1,5).
In the formula 1/3 π r*2 •h, if r is doubled and h is divided by 3, what is the ratio of new value of the formula to the original value?
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\stackrel{doubled}{2r}\\ h=\stackrel{\textit{divided by 3}}{\frac{h}{3}} \end{cases}\implies V=\cfrac{\pi (2r)^2\left( \frac{h}{3} \right)}{3} \\\\\\ V=\cfrac{\pi (2^2r^2)\left( \frac{h}{3} \right)}{3}\implies V=\cfrac{~~\frac{4\pi r^2 h}{3}~~}{3}\implies V=\cfrac{4\pi r^2 h}{3\cdot 3}\implies \stackrel{\frac{4}{3}\textit{ of the original}}{V=\cfrac{4}{3}\cdot \cfrac{\pi r^2 h}{3}}[/tex]
Final answer:
When the radius is doubled and the height is divided by 3 in the volume formula for a cone, the new volume is 4/3 of the original volume.
Explanation:
The student has provided the formula 1/3 π r^2 • h, which represents the volume of a cone.
To find the ratio of the new volume to the original volume after the radius (r) is doubled and the height (h) is divided by 3, we must substitute these changes into the formula and simplify.
Original volume formula is V = 1/3 π r^2 • h.
If the radius is doubled (2r) and the height is divided by 3 (h/3), the new volume formula becomes
V' = 1/3 π (2r)^2 • (h/3).
After simplification, the new volume becomes V' = 1/3 π 4r^2 • h/3, which further simplifies to V' = 4/9 π r^2 • h.
Therefore, the ratio of the new volume V' to the original volume V is 4/3.
Kelly wants to know if the house she wants to buy has any maintenance issues. What should she do? A. ask a home inspector to check the house B. arrange for a residential survey C. get a real estate appraisal done
Answer:i think it is a
Step-by-step explanation:
Answer:
Real Estate appraisal
Step-by-step explanation:
2 number cubes are rolled. (a) List the sample space. (b)What is the probability, as a simplified fraction, that the sum of the numbers is 4 or that the sum of the numbers is greater than 9? Show your work.
The question is about the probability of sum of numbers obtained after rolling two dice. There are 36 possible outcomes of a roll of two dice. The probability of the event that the sum of numbers obtained is 4 or greater than 9 is 1/4.
Explanation:The subject of this question is probability, focusing specifically on the sample space and likely outcomes of two number cubes, or fair six-sided dice, being rolled. Part (a) of the question asks for the sample space which includes all possible outcomes of a roll of two dice i.e., (1,1), (1,2), ..., (6,5), (6,6). There are 36 possible outcomes in total.
For part (b), we are finding the probability of the event that the sum of the numbers obtained after rolling the two dice is 4 or the sum of numbers obtained is greater than 9. There are 3 ways to get a sum of 4, i.e., (1,3), (2,2), (3,1), and 6 ways to get a sum greater than 9, i.e., (4,6), (5,5), (5,6), (6,4), (6,5), (6,6). That's 9 favorable outcomes out of the total of 36. Therefore, the probability of the event is 9/36, which simplifies to 1/4.
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The probability of getting a sum of 4 or a sum greater than 9 is determined by dividing the number of favorable outcomes by the total number of outcomes which is 13/36
Explanation:The sample space of rolling two number cubes can be listed by considering all the possible outcomes when rolling two dice. Since each die has 6 sides numbered from 1 to 6, there are a total of 36 possible outcomes.
The probability of getting a sum of 4 or a sum greater than 9 can be calculated by determining the number of favorable outcomes and dividing it by the total number of outcomes.
In this case, there are 3 favorable outcomes for a sum of 4 (1+3, 2+2, 3+1) and 10 favorable outcomes for a sum greater than 9 (4+6, 5+5, 5+6, 6+4, 6+5, 6+6).
Therefore, the probability is (3+10)/36, which simplifies to 13/36.
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What time is shown in the clock
what is the absolute value of
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
the absolute value function always returns a positive value, that is
| a | = | - a | = a
| [tex]\frac{8}{9}[/tex] | = [tex]\frac{8}{9}[/tex]
Answer:
8/9
Step-by-step explanation:
when you put 8/9 in the lines it will stay the same.
ex: I7I=7
A runner times herself to see how long it takes her to run different distances. The table shows. The runners time (in minutes) for running several distances(in miles).
Miles- 1. 2. 3. 4. 6. 8. 10. 12.
Time- 7. 16. 30. 35. 57. 75. 106. 132.
About how long would you expect it to take this runner to run 17 miles? Find a line of best fit for this data and use it to make you prediction.
A) 205 minutes
B) 175 minutes
C) 161 minutes
D) 183 minutes
Also if you know all the answers please let me know also. Thanks!
Answer:
The correct answer is D
Step-by-step explanation:
Please see the attachment
Answer:d
Step-by-step explanation:
Name Score John 2 Hank -1 Tammy -2 Sami 0 Gil 1 One day five golfers made the scores shown. Ordered from GREATEST to LEAST they are
Answer:
John, Gil, Sami, Hank, Tammy
Thats the scores ordered from greatest to least :)
If Vy=wxz wha does
Y=?
[tex]VY=wxz\qquad\text{divide both sides by }\ V\\\\\boxed{Y=\dfrac{wxz}{V}}[/tex]
which one has right angles? rectangles, squares, or rhombus. hurry plzz
Answer:
Rectangles and squares have 90° corner angles.
PLEASE HELP! I don't know what to do here, I really need help.
Diane and Ruby are having lunch at a restaurant. Their bill came to be $50. They want to leave an 18% tip. What is the amount of the tip?
Answer:
The tip is $9.00
Step-by-step explanation:
To find the tip, we multiply the tip percentage by the amount of the bill. The tip percentage must be in decimal form.
18% = .18
.18* $50.00 = $9.00
The tip is $9.00
Describe a sequence of transformations that transform the graph of the parent function f into the graph of the function g.
f(x)= square root of x
g(x)= - square root of -1/2x+3
Answer:
The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.
Step-by-step explanation:
Since, we are given f(x) = square root x.
The sequence of transformations which transform f(x) into g(x) is given by:
1. Reflection across y-axis i.e. f( x ) to f( -x )
2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )
3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )
4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).
The step by step graphical representation can also be viewed below.
9/10 of alien races think invading Earth is a bad idea. What percent of alien races think invading Earth is a bad idea?
90% Would be your answer.
Answer:
90%
Step-by-step explanation:
If 9/10 alien races believes that invading Earth is a bad idea, than 90% of the alien races believes that it is a bad idea. This answer was found by converting the fraction into a percentage. There are many ways to do this, but here are two ways. If you put 9/10 into a decimal, you get 0.9, which is 90%. Or, you could multiply 9/10 by 10/10, which will get you 90/100, or 90%. I hope that my answer helped you!
Work out 1 3/4 x 4 1/6
Convert mixed number to improper fraction:
[tex]1\dfrac{3}{4}=\dfrac{1\cdot4+3}{4}=\dfrac{4+3}{4}=\dfrac{7}{4}\\\\4\dfrac{1}{6}=\dfrac{4\cdot6+1}{6}=\dfrac{24+1}{6}=\dfrac{25}{6}\\\\1\dfrac{3}{4}\times4\dfrac{1}{6}=\dfrac{7}{4}\times\dfrac{25}{6}=\dfrac{7\times25}{4\times6}=\dfrac{175}{24}=\dfrac{168+7}{24}=7\dfrac{7}{24}[/tex]
Final answer:
To solve 1 3/4 x 4 1/6, we convert the mixed numbers to improper fractions and multiply them, resulting in an incorrect statement that the answer is 1/4; the calculated multiplication is 175/24, which can be further simplified.
Explanation:
To solve the multiplication problem 1 3/4 x 4 1/6, we'll first need to convert the mixed numbers into improper fractions.
For 1 3/4, which is 1 + 3/4, we convert it to an improper fraction by multiplying the whole number by the denominator and adding the numerator, which gives us (1*4) + 3 = 7/4.
For 4 1/6, which is 4 + 1/6, we convert it to an improper fraction by doing the same process: (4*6) + 1 = 25/6.
Now, we multiply the two improper fractions: (7/4) x (25/6).
To multiply fractions, we multiply the numerators together and the denominators together:
7 x 25 = 175
4 x 6 = 24
So, (7/4) x (25/6) = 175/24.
Finally, we simplify the improper fraction by dividing 175 by 24, which results in a mixed number or a decimal.
There are 230 calories in 4 ounce of a type of ice cream. How many calories are in 6 ounces of paper ice cream
Answer:
345 calories.
Step-by-step explanation:
We have been given that there are 230 calories in 4 ounce of a type of ice cream.
First of all let us find calories per ounce ice-cream by dividing 230 by 4.
[tex]\text{Number of calories per ounce ice-cream}=\frac{230}{4}[/tex]
[tex]\text{Number of calories per ounce ice-cream}=57.5[/tex]
Therefore, the ice-cream contains 57.5 calories per ounce of ice-cream.
Let us find amount of calories in 6 ounces of ice-cream by multiplying number of calories per ounce by 6.
[tex]\text{Amount of calories in 6 ounces of ice-cream}=57.5\times 6[/tex]
[tex]\text{Amount of calories in 6 ounces of ice-cream}=345[/tex]
Therefore, there are 345 calories in 6 ounces of ice cream.
Answer: it is 345 calories.
Step-by-step explanation: i
At barlow school, 4\9 of the 873 students are boys.
At Willow School,2\3 of the 630 students are girls.
which school has the greater number of boys and by how many ?
Answer: Barlow has more by 178
Step-by-step explanation:
Solve for Barlow first: 4/9 of 873 is 388 boys.
Solve for Willow: since 2/3 of the students are girls, that means that 1/3 of them are boys: 1/3 of 630 = 210
Barlow has more, now find out by how many: 388 - 210 = 178.
Barlow School has a greater number of boys than Willow School, with 178 more boys.
To determine which school has a greater number of boys, we can calculate the number of boys in each school by using the given ratios. At Barlow School, 4/9 of the 873 students are boys. At Willow School, 2/3 of the students are girls, which means that 1/3 of the students are boys since there are only boys and girls at the school.
First, we calculate the number of boys at Barlow School:
Boys at Barlow School = (4/9) x 873 = 388 boysThen, we calculate the number of boys at Willow School. Since 2/3 of the 630 students are girls, we need to find 1/3 to find the number of boys:
Boys at Willow School = (1/3) x 630 = 210 boysTo find out which school has the greater number of boys, we compare the numbers:
Barlow School: 388 boysWillow School: 210 boysThus, Barlow School has a greater number of boys. To find out by how many, we subtract the number of boys at Willow School from the number of boys at Barlow School:
Number of boys more at Barlow School = 388 boys - 210 boys = 178 boysReal estate values in a town are increasing at a rate of 9% per year.
Mr. Townsend purchased a building for $375,000 in 2010.
How much can he expect to sell the building for in 2020, assuming this trend continues?
Enter your answer in the box.
Round to the nearest whole dollar.
Answer:
$887,761.38
Step-by-step explanation:
The principal amount the home is valued is $375,000 and it increases at a rate of 9% a year which is 0.09 and the amount of time it grew is 10 years. Therefore:
[tex]A_{final}=375000(1+0.09)^{10}=375000(1.09)^{10}=887761.38[/tex]
After 10 years the house is worth $887,761.38 if this trend continues
Answer:
$887,761.38
i know this i s the answer because i had a quiz.
PLz mark brainlest
Evaluate the function for the given input values f(x)=3x-1 find f(2) f(2)=
Answer:
f(2) =5
Step-by-step explanation:
We have a function f(x) = 3x-1
When we find f(2) ,let x=2
f(2) = 3*2-1
= 6-1
=5
Landen spent L hours at the beach last weekend. Mateo spent 15% fewer hours at the beach than landen did.
For this case we have the following variable:
L: number of hours Landen spent at the beachWe have then that Matthew spent 15% fewer hours at the beach than landen did.
Therefore, the number of hours Mateo spent at the beach is:
[tex]L - 0.15L = 0.85 L[/tex]
Answer:
The number of hours Mateo spent at the beach is:
[tex]L - 0.15L = 0.85 L[/tex]