Answer:
a = 3a = 4a = 5There are three solutions. I hope this helps!
Suppose a math class starts at the beginning of the school year with 12 boys and 8 girls. However, after school resumed in January, 6 new boys and 4 new girls came to the class. Is the ratio of boys to the total number of students in the class still the same?
Answer:
yes the ratio is the same
Step-by-step explanation:
12/8 = 3/2 (divided the top and bottom by 4)
6/4 = 3/2 (divided the top and bottom by 2)
yes the ratio is the same
Answer:
To compare, first find out what the ratio of boys to students is at the beginning of the school year: 12/8 or, in the simplest form, 3/2.Once school resumes in January, that ratio becomes 18/12 - (12 + 6)/(8 + 4) - or 3/2 in simplest form.Therefore, the ratio is still the same.
Step-by-step explanation:
Which equation in standard form has a graph that passes through the point (-4,-3) and has a slope of 3/8?
Answer:
y = 3/8x - 1.5
Step-by-step explanation:
PLEASE HELP
The two angles formed as a result of a bisector will always be____?
A. complementary
B. supplementary
C. Right
D. congruent
Answer:
D. Congruent
Step-by-step explanation:
is -3(-2)+3 less, greater or equal to 3(-4)+9?
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First we have to solve them to make it easier to compare them.
So...
[tex]-3(-2)+3=9\\3(-4)+9=-3[/tex]
Now we now that the first one is 9 and the second one is -3. So obviously the positive number has to be greater than the negative number, so....
[tex]9>-3[/tex]
Answer:
-3(-2)+3 is greater than 3(-4)+9.
Step-by-step explanation:
First, we have to solve.
1) -3(-2)+3 Solve left to right. -3(-2)=6
6+3 Add. 6+3=9
9
2) 3(-4)+9 Solve left to right. 3(-4)=-12
-12+9 Add. -12+9=-3
-3
9 is greater than 3. So, -3(-2)+3 is greater than 3(-4)+9.
Hope this helped!! Have a great day :D
Solve: sin (x + StartFraction pi Over 2 EndFraction) = one-half for left-bracket StartFraction 3 pi Over 2 EndFraction, 2 pi right-bracket
The solutions to the equation sin(x + pi/2) = 1/2 in the interval [3pi/2, 2pi] are x = 5pi/3 and x = 4pi/3.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.
We can solve this equation using the following steps:
Subtract pi/2 from both sides to get sin(x) = 1/2.
Recall that the sine function is positive in the first and second quadrants.
Therefore, we need to find the angles in these quadrants where sin(x) = 1/2.
The two angles in the first quadrant where sin(x) = 1/2 are pi/6 and 5pi/6. The two angles in the second quadrant where sin(x) = 1/2 are 7pi/6 and 11pi/6.
Adding pi/2 to each of these angles gives the solutions to the original equation. These solutions are:
x = pi/6 + pi/2 = 2pi/3
x = 5pi/6 + pi/2 = 7pi/6
x = 7pi/6 + pi/2 = 5pi/3
x = 11pi/6 + pi/2 = 4pi/3
We now need to check which of these solutions lie in the interval [3pi/2, 2pi]. We find that the solutions in this interval are:
x = 5pi/3
x = 4pi/3
Therefore, the solutions to the equation sin(x + pi/2) = 1/2 in the interval [3pi/2, 2pi] are x = 5pi/3 and x = 4pi/3.
To learn more about trigonometry from the given link:
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please help me on this-
Will give brainliest, like 5 stars, comment and 5 points
The table represents the relationship between a length measured in meters and the same length measured in kilometers.
Complete the table.
Answer:
3,500=3.5
500=0.5
75=0.075
1=0.001
x=x÷1000
HELLLLPPPPPPPPPPPPPP
Tanya performed an experiment in which she randomly pulled a marble from a bag, recorded its color, put it back, and then repeated. The following table represents the number of times each color of marble was pulled.
Color of Marble Frequency
Green 25
Blue 35
Purple 40
If Tanya repeats the experiment 50 more times, how many of those times should she expect to pull a purple marble?
Enter your answer as a number, like this: 42
Answer:20
Step-by-step explanation: Add all the marbles up = 100 divided by 2 = 50 so then divide the purple marble by 2 =20.
Tanya should expect to pull a purple marble for 8 times.
What is experimental probability?The experimental probability of an event is based on the number of times the event has occurred during the experiment and the total number of times the experiment was conducted.
Given that, Tanya performed an experiment in which she randomly pulled a marble from a bag,
Out of the experiment that Tanya performed, we can get an experimental probability.
This experimental probability is given by the quotient between the frequency for each color, and the total number of trials.
The total number of trials is:
N = 25 + 35 + 40 = 100
And on 40 of these, she got a purple marble, then the experimental probability of getting a purple marble is:
p = 40/100 = 0.4
Now, if she draws 50 marbles more, she should expect to get:
0.4×50 = 8
Hence, Tanya should expect to pull a purple marble for 8 times.
Learn more about experimental probability click;
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please help this is the last question
Answer:
The median is the same for both car types, but Bandit have lower mean.
Step-by-step explanation:
round off 6406 to the nearest thousand
Answer:
6000
hope this helps =3
An ice machine uses 3 gallons of water every 9 hours
Answer: 8 gallons of water are being used per day.
Step-by-step explanation: If the question is how many gallons of water are used a day, then you can find this out using the following steps:
3 divided by 9 = 1/3.
1/3 times 24 = 8
8 gallons of water are being used per day.
how do u simplify 24+2x=3x+2(3•4)
Answer:
distribute the 2 to the 3 and 4 so you get 6+8 which is 14
Step-by-step explanation:
24+2x=3x+14
-14
10+2x=3x
-2x
10=x
Answer:
10=x
Step-by-step explanation:
24+2x=3x+14
-14
10+2x=3x
-2x
10=x
∠A and ∠B are complementary. The measure of ∠A is 21°.
What is the measure of ∠B?
Enter your answer in the box.
°
complementary angles is when the sum of two angles is equal to 90 degrees.
∠A + ∠B = 90°
21° + ∠B = 90°
∠B = 90° - 21°
∠B = 69°
Answer:
∠B = 69°
Step-by-step explanation:
Complementary angles are such pairs of angles that sum up to 90°. In this case, we are given that ∠A and ∠B are a pair of complementary angles. This means that ∠A and ∠B sum up to 90°.
⇒ [tex]\angle A + \angle B = 90\°[/tex]
⇒ [tex]21\° + \angle B = 90\°[/tex] [∠A = 21°]
⇒ [tex]\angle B = 90 - 21[/tex]
⇒ [tex]\angle B = 69\°[/tex]
On a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time. Time (x) Height (y) 0 10 2 24 16 10 How high was the ball after 8 seconds? 20 feet 42 feet 96 feet 106 feet.
After 8 seconds the ball height was 42 units.
It is given that on a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time.
It is required to find how high was the ball after 8 seconds.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
The orbit of the ball will be a parabola.
We know the standard form of a quadratic function:
[tex]\rm y=ax^2+bx+c[/tex] where [tex]\rm \\a\neq 0[/tex]
At x = 0 and y = 10, we get:
[tex]\rm 10 =a(0)^2+b(0)+c\\\rm 10= c\\\rm c=10[/tex]
At x = 2 and y=24, we get:
[tex]\rm 24= a(2)^2+b(2)+c\\\rm 24=4a+2b+10\\\rm 4a+2b=14[/tex]....(1)
At x = 16 and y = 10, we get:
[tex]\rm 10= a(16)^2+b(16)+c\\\rm 10=256a+16b+10\\\rm 256a+16b=0 \\[/tex]....(2)
By solving equations (1) and (2), we get;
a = - 1/2, b = 8 and c = 10
Putting these values in the standard form of a quadratic function, we get:
[tex]\rm y = - \frac{1}{2} x^2+8x+10\\[/tex]
Now, after 8 seconds means when x = 8, we get:
[tex]\rm y=-\frac{1}{2}\times 8^2 +8\times8+10\\\rm y = -32+64+10\\\rm y= 42[/tex]
Thus, after 8 seconds the ball height was 42 units.
Know more about the parabola here:
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Answer:
b
Step-by-step explanation:
DONT ANSWER IF U DONT KNOW
Mason wants to borrow $6,700 from the bank to purchase a car. If he borrows the money at a rate of 5% interest for 4 years, what is the total amount he will have to pay back to the bank?
Your answer should be in whole dollars. Do not add cents. Example: $4 not $4.00
Answer:
$8040Step-by-step explanation:
It is assumed as simple interest.
The amount of interest is:
5%*4 = 20% of $6700, which is6700*20/100 = 1340The amount paid back is the sum of the loan and interest:
6700 + 1340 = 8040
The area A of a square is given. Find its side length.
Which side lengths are whole numbers?
a) A = 36 cm² b) A = 49 m2 c) A = 95 cm? d) A = 108 m2
Answer:
a &b
Step-by-step explanation:
The perimeter of a rectangle is 11cm and the length is 3cm more than half the width. Find the dimensions of the rectangle
Answer:
Above is the solution to the question
A marker company makes 93,786 blue markers, 11,855 red markers, and 30,774 green markers. How
many more blue markers are made than red and green markers combined?
Answer:
91931 blue marker are made more than red
63012 blue marker are made more than green
I DON'T WANT LINKS; Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
A. 20 + 80 + (-11)
B. 95 + 47 + 5
C. -40 + (-50) + 17
D. 1/4 + 3/4 + 2
Answer:
B because it’s just pluss what makes it easier
Point W(-4, 7) was translated as follows: W(-4, 7) – W'(-2, 4). A student wrote the algebraic rule to describe the
translation as (x,y) → (x-3.y+2). Evaluate the student's answer.
A. Incorrect; the student should add 2 to the x-coordinate and subtract 3 from the y-coordinate.
B. Incorrect; the student should add-4 +-2 to calculate the x-coordinate and add 7 + 4 to calculate
the y-coordinate.
C. Incorrect; the student should add 3 to the x-coordinate and subtract 2 from the y-coordinate.
D. The student's answer is correct.
Answer:
A
Step-by-step explanation:
W (- 4, 7 ) → W' (- 2, 4 )
- 4 → - 2 in the x- directions is a shift of + 2
7 → 4 in the y- direction is a shift of - 3
then translation rule should be
(x, y ) → (x + 2, y - 3 )
What is the Product of 2.18 and 3.4??
Show your work
and no links
Check my answers!!!!
Answer:you got all of them right good job
Step-by-step explanation:
Answer:
You did a good job
Step-by-step explanation:
keep it up
Factor this expression
Answer:
6(6x^2-4x-3)
Step-by-step explanation:
pull out the gcf which is 6 and it is complete because it is impossible to factor 6x^2-4x-3
Answer:
[tex]6 (6x^{2} - 4x - 3)[/tex]
Step-by-step explanation:
[tex]36x^{2} - 24x - 18[/tex]
[tex]= 6 (6x^{2}) - 6 (4x) - 6(3)[/tex]
[tex]= 6 (6x^{2} - 4x - 3)[/tex]
Mathematicians at the University of Hawaii have tried to approximate the total number of grains of sand on the world's beaches. They calculated 7,500,000,000,000,000,000, or seven quintillion five hundred quadrillion. How is this number expressed in scientific notation?
7.5 × 10¹⁸
In order to transform in standard form / scientific notation.Count the zeros in a number.
the first number should be an absolute value like: a * b^10thus in scientific notation: 7.5 × 10¹⁸
another example:
number: 650,000,000 scientific notation: 6.5 × 10⁸Evaluate c−d if c=1 and2/5 and d=5/6 . Express your answer in simplest form.
please help me i need to finish it today
Answer:
[tex]\frac{17}{30}[/tex]
Step-by-step explanation:
→ Substitute in the numbers
[tex]1\frac{2}{5} -\frac{5}{6}[/tex]
→ Simplify
[tex]1\frac{2}{5} -\frac{5}{6}=\frac{7}{5} -\frac{5}{6}=\frac{42}{30} -\frac{25}{30} =\frac{17}{30}[/tex]
billy has a bag of 4 red marbles, 3 blue marbles, and 3 white marbles. Billy picks and keeps a marble and then picks a second marble. What is the probability Billy will draw a white marble and then a red marble?
Answer:
1/10+1/10=2/10
Step-by-step explanation:
we first need to add all marbles and make a fraction of white and red marble
Brandon's math certificate is 15 centimeters tall and 28 centimeters wide. Brandon wants to put the certificate in a fancy frame that costs $1.55 per centimeter. How much will it cost to frame Brandon's math certificate?
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone. Write the system of equation the represents the cost of Sarah's rental shop and another equation for David's rental shop.
Answer:
Manny's Music Rental: y = 40 + 25x
Sid's Saxophones: y = 25 + 30x
Step-by-step explanation:
Let x = number of months
Let y = total cost of renting a saxophone
Manny's Music Rental: y = 40 + 25x
Sid's Saxophones: y = 25 + 30x
a company that makes automatic coffee machines must make a model that dispenses 354 mL + .006 mL of coffee per cup. Do all of the cups in the table fall within the specified tolerance?
Answer:
You didnt show the table, not sure how to answer
Step-by-step explanation:
Write
3.12 x 10^8 in
Standard notation.
Answer:
312,000,000
Step-by-step explanation:
Standard notation is when you move the decimal however many times the 10 is being squared by. In this case, it is 8.
Since the 8 is not negative, we move it 8 times to the right.
Since there are only 2 digits, we add 6 more zeros because 2+6=8
that is how you get 312,000,000