Answer:
The ratio of boys to girls is 3:4Step-by-step explanation:
This excercise, focuses on ratio problem, and it has to do with the representation of ratio, since we can represent ratio in different ways. let us represent this ratio in the normal/ usual format.
we will first reduce the given value and represent it in the ratio format
given that for roller skate race, 48 are boys and,
roller skate race, 64 are girls
we have the ratio as
=48/64 divide both denominator and numerator by 4
=12/16 further divide both denominator and numerator by 4
=3/4
The ratio is 3:4
I need help ASAP thank you
According to the first scale, 2 red balls = 1 star.
According to the second scale, 2 triangles = 1 star
So,
1 triangle = 1 red ball
1 star = 2 red balls
1 red ball = 1 red ball
Therefore, 2 + 1 + 1 = 4 red balls
The last scale needs 4 red balls
I got a. right but I can't wrap my head around b... A detailed explanation would be nice :)
Answer:
1) [tex]\frac{dy}{dx}=12x^2+6x-6[/tex]
2) [tex]x\leq-1\text{ or } x\geq 1/2[/tex]
Step-by-step explanation:
So we have the equation:
[tex]y=4x^3+3x^2-6x-1[/tex]
Part A)
We want to find the derivative of the above function. So:
[tex]\frac{dy}{dx}=\frac{d}{dx}[4x^3+3x^2-6x-1][/tex]
Expand:
[tex]\frac{dy}{dx}=\frac{d}{dx}[4x^3]+\frac{d}{dx}[3x^2]+\frac{d}{dx}[-6x]+\frac{d}{dx}[-1][/tex]
Use the power rule. Therefore, our derivative is:
[tex]\frac{dy}{dx}=3(4x^2)+2(3x)+(-6)+(0)[/tex]
Simplify:
[tex]\frac{dy}{dx}=12x^2+6x-6[/tex]
Part B)
We want to find the range of the values of x such that:
[tex]\frac{dy}{dx}\geq 0[/tex]
So, all we have to do is substitute our derivative in:
[tex]12x^2+6x-6\geq0[/tex]
And solve for this quadratic inequality!
Solve it normally. Pretend the inequality is with an equal sign. So:
[tex]12x^2+6x-6=0[/tex]
Divide everything by 6:
[tex]2x^2+x-1=0[/tex]
Factor. We can use -2 and 1. So:
[tex]2x^2+2x-x-1=0[/tex]
From the first two terms, factor out 2x.
From the third and fourth terms, factor out a negative. So:
[tex]2x(x+1)-(x+1)=0[/tex]
Grouping:
[tex](2x-1)(x+1)=0[/tex]
Zero Product Property:
[tex]2x-1=0\text{ or } x+1=0[/tex]
Solve for x in each case:
[tex]x=1/2\text{ or } x=-1[/tex]
So, the zeros of our function is -1 and 1/2.
Looking above, we can see that this is a greater than inequality.
Since this is a greater than inequality, our solution is all values to the left of the first zero and all values to the right of the second zero.
Therefore, our solution is:
[tex]x\leq-1\text{ or } x\geq 1/2[/tex]
In interval notation, this is:
[tex](-\infty,-1]\cup[1/2,\infty)[/tex]
So, for all values within the above interval, our derivative, dy/dx, will be greater than or equal to 0.
And we're done!
Edit: Typo. Brainly is rather buggy right now.
Which of the following statements is true?
A. The coordinates of point P(2,3) lie along the directed segment from A(2,3) to B (7,13) and partitions the segment in the ratio 1:4
B. The coordinates of Point P(3,5) lie along the directed segment from A(2,3) to B(7,13) and partitions the segment in the ratio 1:14
C. The coordibates if point P(-2,6) lie along the directed segment from A(2,3) to B(7,13) and partitions the segmebt in the ratio of 1:14
Kevin can travel 12 1/2 miles in 1/3 hours what is his average speed in miles per hours
Hey there! I'm happy to help!
We see that Kevin travels 12 1/2 miles in 1/3 hours. We want to see how far he travels in one hour. To do this, we simply multiply by 3!
12 1/2×3=37 1/2
Therefore, Kevin travels at 37 1/2 mph.
Have a wonderful day! :D
Last week Lisa ran 30 miles more than Michael. If Lisa ran 40 miles, how many miles did Michael run?
there are three consecutive integers with a sum of 39. which integers are they?
Answer:
The three integers are
11, 13, and 15.
Step-by-step explanation:
We shall consider the integers as
x, (x+2), and (x+4). The sum of these is 39, so we can write:
x+(x+2)+(x+4)=39
Open the brackets and simplify.
x+x+2+x+4=39 3x+6=39 Subtract 6 from each side.3x=33 Divide both sides by 3.x=11 Therefore: (x+2)=13and (x+4)=15
Answer:
The three integers are 11, 13, and 15 .
Step-by-step explanation:
We shall consider the integers as x, ( x + 2 ) , and ( x + 4 ) . The sum of these is 39, so we can write:
x + (x + 2) + (x + 4) = 39
Open the brackets and simplify.
x + x + 2 + x + 4 = 39
3x + 6 = 39
Subtract 6 from each side.
3x = 33
Divide both sides by 3.
x=11
Therefore: (x + 2) = 13 and (x + 4) = 15
The endpoints of line AB are A(−9,−1) and B(−3,7). Find the coordinates of the midpoint M.
Answer:
(-6,3)
Step-by-step explanation:
Find the slope of the line passing through the given points.
(2,3)(-1,-6)
Answer:
The slope is 3/1 or 3.
Step-by-step explanation:
The slope equation is y2-y1/x2-x1. Plug the coordinates into the equation and you get -6-3/-1-2 = -9/-3 = 9/3 = 3/1 = 3.
whats the remainder of 23/101
3. How much money would you earn in three months (assume 4 weeks in each month) at each of the jobs you listed in #2 if you worked 6 hours per day for 5 days each week?
Answer:
I need only only only 0 rupees
Answer:
see below
Step-by-step explanation:
3.) How much money would you earn in three months (assume 4 weeks in each month) at each of the jobs you listed in #2 if you worked 6 hours per day for 5 days each week?
-------------------------------------
1. dog walking:
6 hr/day (5 day) x (4 weeks x 3 months) x $30/hour
$10,800 in 3 months
-------------------------------------
2. private swim instructor
6 hr/day (5 day) x (4 weeks x 3 months) x $20/hour
$7,200 in 3 months
-------------------------------------
3. sandwich maker
6 hr/day (5 day) x (4 weeks x 3 months) x $16.75/hour
$6,030 in 3 months
Brittany has 50 beads. 70% of the beads are gold. How many beads does Brittany have?
Answer: 35 gold beads and 15 non-gold beads
Step-by-step explanation:
70% of 50
.70×50 = 35
50 - 35 = 15
3
(7 x 8) * 10°= Idek
Answer:56000
Step-by-step explanation:
If c + di is a point on the circle, then |c + di |= .
Answer:
3
Step-by-step explanation:
i guessed and got it right on edge
Answer:
yes the correct answer is 3
Step-by-step explanation:
on Edge. stats how 3 is correct. and given from the picture how 3 is the only visible number.......;-;
What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
Answer:
(2x - 5) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x + 35
Step-by-step explanation:
Given:
2x - 5 and 3x2 + 5x - 7
Product of two values means multiplication of the two values
(2x - 5) (3x^2 + 5x - 7)
6x^3 + 10x^2 - 14x - 15x^2 - 25x + 35
Collect like terms
6x^3 + 10x^2 - 15x^2 - 14x - 25x + 35
Simplify
6x^3 - 5x^2 - 39x + 35
(2x - 5) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x + 35
Therefore product of 2x - 5 and 3x2 + 5x - 7 is 6x^3 - 5x^2 - 39x + 35
2. You can use the formula a = ñ to find the batting average a of a batter who has
h hits in n times at bat. If a batter has a batting average of 265 and has been at bat
200 times, how many hits does the batter have?
Answer:
the batter have hits 754
Step-by-step explanation:
given:
If a batter has a batting average of 265 and has been at bat
200 times
find:
how many hits does the batter have?
batting average = 265 / 100 = 0.265
number of bat times = 200
let hits = h
aver = bat times
no. of hits
0.265 = 200 bat times
h
cross multiply:
0.265 h = 200
h = 200 / 0.265
h ≅ 754.72
therefore,
the batter have hits 754
Answer:
hits = 754
Step-by-step explanation:
If a batter has a batting average of 265 and has been at bat
200 times
batting average = 0.265
number of bat times = 200
aver = bat / h
0.265 = 200 / h
0.265 h = 200
h = 200 / 0.265
h ≅ 754.72
Clara recorded the weather forecast in the table. Radio Forecast Day Forecast Monday 5° below 0 Tuesday 0° Wednesday 2° below 0 Thursday 3° above 0 On which day would she use a positive number to write the temperature? Monday Tuesday Wednesday Thursday
Answer: Thursday
Explanation: its Thursday because Monday is 5° below 0 is a negative number and Wednesday is 2° below 0 is also a negative number because its below 0. Now on Thursday its 3° above 0 which is the correct answer you need because its above the negative numbers of 0 which = a positive number now Tuesday is 0° which is just 0 nothing else.
Simple <3
Answer:
its Thursday
Step-by-step explanation:
because it states 3 above 0
Question 4 5 pts For the equation: -k - 4k = 3 (k – 10) - 6 (k - 6), what is the value of k?
K = -3
Step-by-step explanation:1. Simplify -k-4k to -5k
-5k=3(k-10)-6(k-6)
2. Distribute Parentheses/Expand
-5k=3k-30-6k+36
3.Simplify 3k-30-6k+36 to -3k +6
-5k=-3k+6
4. Add 3k to both sides
-5k+3k=6
5. Simplify -5k+3k to -2k
-2k=6
6. Divide both sides by -2
k=-6/2
7. Simplify 6/2 to 3
k=-3
Mr. Smith is ordering steaks to serve at a poker game with his friends. The first company charges a delivery fee of $10 plus $15 per steak. The second company charges a delivery fee of $25 and charges $10 per steak. How many steaks would Mr. Smith have to order so that both companies cost the same amount?
Answer:
3
Step-by-step explanation:
1. One= $25 Two= $40 Three= $55
2. One= $35 Two= $45 Three= $55
How do you find the product when two exponents have the same exponent and different bases?
Answer:
When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.
:)
Which is greater and which is less 0.112 or 0.98
Answer: 0.98 is larger than 0.112.
Step-by-step explanation:
0.112 is farther away from 1 because it is smaller and 0.98 is larger and closer to 1.
the marching band is organising a trip to a national competition for 226 members of the team. a bus will hold 70 students. a van will hold 8 students. a bus cost $280 to rent and a van cost $70 to rent. the team has fundraised $980 to use for transportation. how many buses and vans should be rented?
-2-25 I don’t know the answer
Answer:
-27
Hope this helps.
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
Answer:
irrational numbers and real numbers
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Tell which set or sets does the number 8/9 belong to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers?
Natural numbers are positive whole numbers and they start from 1. Negative numbers and zero are not natural numbers. Example of natural numbers are 1,2, 3, 4... and since 8/9 is a fraction, hence it is not a natural number.
8/9 is not also a whole number. Whole numbers are not written as fractions.
Integers are both positive and negative whole numbers including zero. They are not expressed as ratio of two whole numbers. They are not fractions as well hence 8/9 is not an integer.
Real numbers are both rational numbers and irrational numbers. They can be expressed as a ratio of two integers and can be expressed as decimal. Hence 8/9 is a real number and also irrational numbers.
An irrational number when written as decimal, the number after the decimal does not terminate.
8/9 = 0.888888888888...
As we can see, the number 8 after the decimal point is infinite, hence the reason why 8/9 is an irrational number
What operation comes first?
(3 + 1)2-5+4
O exponent
addition
subtraction
O parentheses
My grades are due today and I don’t want to do work that much cuz I got more missing assignments and need help asap
Kassy is traveling to Peru for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Texas, located at(5, 16) on the map’s coordinate grid, and then heads to its destination, Peru, located at(7, 8) on the map’s coordinate grid. Find the distance of Kassy's trip according to her map. Round your answer to the nearest hundredth.
Answer:
(6,12)
Step-by-step explanation:
Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.
Add.
(4x - 3) + (2x - 4)
A. 6x+1
B. 6x - 1
C. 6x - 7
D. 6x + 7
Step-by-Step-explanation
Answer:
C. 6x-7
Step-by-step explanation:
4x+2x=6x
(-3)+(-4)=-7
6x-7
What are the two binomials for the expression x(x − 8) − 9(x − 8)?
The two binomials for the expression x(x − 8) − 9(x − 8) are (x - 8) and (x - 9).
What are the binomials expression ?
The expression x(x − 8) − 9(x − 8) can be simplified as follows:
x(x − 8) − 9(x − 8) = x² - 8x - 9x + 72
= x² - 17x + 72
To find the two binomials, we need to factor the expression [tex]x^2 - 17x + 72[/tex]. We can do this by finding two numbers that multiply to 72 and add to -17. Those numbers are -8 and -9. Therefore, we can write:
[tex]x^2 - 17x + 72 = (x - 8)(x - 9)[/tex]
Hence, the two binomials for the expression x(x − 8) − 9(x − 8) are (x - 8) and (x - 9).
To learn more about binomials expression, Visit
https://brainly.com/question/13672615
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Is it possible to draw a triangle with these measurements 9,60,60
Answer:
Yes, it is possible. Hope this helps!
Step-by-step explanation:
A triangle has side lengths of (6.2v-5.5)(6.2v−5.5) centimeters, (8.5v-6.7)(8.5v−6.7) centimeters, and (6.6w+7.6)(6.6w+7.6) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Given:
Side lengths of triangle are (6.2v-5.5) cm, (8.5v-6.7) cm, and (6.6w+7.6) cm.
To find:
The expression which represents the perimeter of the given triangle.
Solution:
We know that perimeter of a triangle is the sum of all sides of a triangle. So,
[tex]Perimeter=(6.2v-5.5)+(8.5v-6.7)+(6.6w+7.6)[/tex]
On combining like terms, we get
[tex]Perimeter=(6.2v+8.5v)+6.6w+(-5.5-6.7+7.6)[/tex]
[tex]Perimeter=14.7v+6.6w+(-4.6)[/tex]
[tex]Perimeter=14.7v+6.6w-4.6[/tex]
Therefore, the perimeter of the triangle is [tex]14.7v+6.6w-4.6[/tex].
Grayson's car used 2 gallons to travel 30 miles. How far can he travel on 3 gallons?
Answer:
45
Step-by-step explanation:
You do 30 divided by 2 = 15. then you do 15+30=45, and boom, there is your answer
