Answer:
1). Number of kids on the other side = 16
2). Brian took the time to each piece of pie = 20 seconds
Step-by-step explanation:
1). Let the number of kids on one side = x
Then the number of kids on other side = 2x
3 adults helped the side having number of kids = x, then the number of people on this side = x + 3
Since the total number of people on this side = 11
Then the equation will be,
x + 3 = 11
x = 11 - 3
x = 8
Then number of kids on the other side = 2x = 2×8
= 16
2). By unitary method,
∵ Brian took the time to eat 6 pieces of the pie = 2 minutes
∴ Brian will take time to eat 1 piece of pie = [tex]\frac{2}{6}[/tex] minutes
= [tex]\frac{2}{6}\times 60[/tex] seconds
= 20 seconds
What is the measure of RST?
Answer:
The answer is D.
Step-by-step explanation:
You have to divide it by 2 :
∠RST = ∠ROT ÷ 2
= 46° ÷ 2
= 23°
O represents the centre of circle.
(Correct me if I am wrong)
Answer:
D. 23°
Step-by-step explanation:
The measure of central angle is twice the angle of circumference lying on the same arc. So,
<RT = 2(<RST)
<RST = <RT/2
<RST = 46/2
<RST = 23°
Which of the following options represents a logical first step that can be used
to prove the trigonometric identity
cos(x)/ cos(x)+sin(x)tan(x)=cos^2(x)?
Answer: Option B.
Step-by-step explanation:
Here we can start with the relation
cos(x)^2 + sin(x)^2 = 1
multiply both sides by cos(x)
cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))
now we can replace sin(x)/cos(x) = tg(x)
cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))
So the correct option is B
Make x the subject of y=3x-2
Answer:
To make x the subject of the equation means to solve the equation for x (get x by itself on one side). We do the order of operations in reverse, because we are using inverse operations. First, add the 2 to both sides (to keep the equation “balanced” we must do the same thing to both sides). y+2=3x. Then divide both sides of the equation by 3 (or multiply both sides by 1/3.
Step-by-step explanation:
Answer:
[tex]x = \frac{y + 2}{3} [/tex]
Step-by-step explanation:
[tex]y = 3x - 2 \\ y + 2 = 3x \\ \frac{y + 2}{3} = \frac{3x}{3} \\ \\ x = \frac{y + 2}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
=
O RATIOS, PROPORTIONS, AND MEASUREMENT
Writing ratios for real-world situations
There are 8 new books and 9 used books on a shelf.
(a) What is the ratio of all books to new books?
(b) What is the ratio of all books to used books?
(a)
(b)
?
X
Answer:
(a) ratio of all books to new books is 17 : 8
or in quotient form: 17/8
(b) ratio of all books to used books is 17 : 9
or in quotient form: 17/9
Step-by-step explanation:
Number of new books = 8
Number of used books = 9
Total number of books = 17
Recall also that ratios are written with the symbol ":" in between the first quantity and then the second quantity, thus the symbol ":" replacing the word "to". For example "Ratio of a to b is written with the symbology:
a : b
which can also be translated to the quotient expression: a/b
Then the requested ratio of
(a) all books to new books is 17 : 8
or in quotient form: 17/8
(b) all books to used books is 17 : 9
or in quotient form: 17/9
state what additional information is required in order to know that the triangles are congruent by AAS
Answer:
The last one
Step-by-step explanation:
Since we already know an angle and a safe are equal we just need one more pair of corresponding angles
Answer:
the fourth one.
Step-by-step explanation:
that is angle vut is greater than or equal to angle ktu or angle utv is greater than or equal to angle tuk.
I don’t know if this is correct , please help !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
change the negative to not domain and the zero to in domain
Step-by-step explanation
Grady marks down some $2.49 pens to $1.99 for a week and then marks them back up to $2.49. Find the percent of increase and the percent of decrease to the nearest tenth. Are the percent of change the same for both price changes? If not, which is a greater change?
Please, need answer in 5 minutes
The percent decrease is found by using the formula (original price - new price)/(original price). The percent decrease is then (2.49 - 1.99)/2.49 = 0.20 = 20%. A percent increase is found by using the formula (new price - original price)/(original price). The percent increase is then (2.49 - 1.99)/1.99 = 0.25 = 25%. The percents of change are not the same. The percent increase is greater.
Answer:
2.49-1.99= 0.5
0.5 divided by2.49 times 100 is about 20% decrease
1.99-2.49+0.5 also so it is also a 25 percent increase
Step-by-step explanation:
factorise 2x^2 -x-21
Answer:
(x + 3) × (2x - 7)
Step-by-step explanation:
2x² - x - 21
Write as a difference
2x² + 6x - 7x - 21
Factor the expressions
2x × (x + 3) - 7 (x + 3)
Factor the expression
(x +3) × (2x - 7)
Find the value of x for which the graph of y = 3x^2 - 8x + 7 achieves its minimum y-value.
Answer:
The y value achieves its minimum at x = 4/3Step-by-step explanation:
Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.
At the turning point, dy/dx = 0
Given y = 3x² - 8x + 7
[tex]\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0[/tex]
[tex]6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}[/tex]
The y value achieves its minimum at x = 4/3
What is the y-intercept of the line described by the equation y=3x+5
Answer:
[tex]5[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
Where [tex]b[/tex] is the y-intercept.
[tex]y=3x+5[/tex]
[tex]b=5[/tex]
Answer:
-3 is the slope
5 is the intercept
A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to the nearest hundredth (2 decimal places) or leave your answer in Pi form
Answer:
500 /3 pi cm^3
Step-by-step explanation:
The side length of the cube is 10 cm, so the diameter of the sphere is 10 cm
That means the radius is
r =d/2 =10/2 = 5 cm
The volume of a sphere is
V = 4/3 pi r^3
= 4/3 pi (5)^3
= 500 /3 pi cm^3
Answer:
Your correct answer is 500/3 cm^3
I will show you how and tell you why it is 500/3 cm^3 down below:
Explanation:
The side length of the cube is 10 cm therefore, the diameter of the sphere is 10 cm so, the radius is 5 cm:
r = d/2 = 10/2 = 5 cm
and right here I will show you the volume of the sphere:
v = 4/3 r^3
= 4/3 (5)^3
= 500/3 cm^3
Showing these results, you can see that the answer is 500 /3 cm^3
What is the square root of 25?
Show your work
Answer:
5
Step-by-step explanation:
The square root of a number is basically that number multiplied by itself.
for example, the square root of 4 is 2 because 2 x 2 is 4
the square root of 25 is 5 because 5 x 5 = 25
Answer:
root 25 = 5
Step-by-step explanation:
because when we will do the prime factorisation then at your left side 5x5 will come aand at right side will come so, 5x5 = 25 .
please mark my answer as a brainliest answer and follow me
3a+2b=9 and 8x+6y=60
what is the value of 9a+6b
what is the value of 4x+3y
Answer:
The Value of 9a+6b is 27. and the value of 4x+3y is 30.
Explanation
1)
3a+2b=9
multiplying both by side by 3
or, 3×( 3a+2b)=3×9
Hence, 9a+6b=27
2)
8x+6y=60
Dividing both by side by 2
or, (8x+6y)/2 = 60/2
Hence, 4x+3y=30
sin(x+16degrees) = cos(2x+14 degrees) what is x
Answer:
X=20°
Step-by-step explanation:
SinX+16°+Cos2X+14°=90
3x+30=90
3x=60
x=20°
What is 2x^2-13x+15?
Answer:
Step-by-step explanation:
Answer:
[tex] (2x - 3)(x - 5) \\ [/tex]
Step-by-step explanation:
[tex]2 {x}^{2} - 13x + 15 \\ 2 {x}^{2} - 10x - 3x + 15 \\ 2x(x - 5) - 3(x - 5) \\ (2x - 3)(x - 5)[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
please help with question tagged below
Answer:
1/3
Step-by-step explanation:
3×x=1
x= 1/3
What is the exponential regression equation that fits these data? X y 1 3 2 8 3 27 4 85 5 240 6 570 A. Y = 2.93(1.03x) B. Y = 38.73x2 – 168.58x + 158.1 C. Y = 102.54x – 203.4 D. Y = 1.03(2.93x)
Answer:
D) [tex]Y = 1.03(2.93^x)[/tex]
Step-by-step explanation:
To Find the exponential regression equation that fits these data, we substitute the value of x into the equation and see if it produces the value of y.
x: 1 2 3 4 5 6
y: 3 8 27 85 240 570
A. Y = 2.93([tex]1.03^x[/tex])
Substituting x = 1 to get
Y = 2.93(1.03) ≅ 3
Substituting x = 2 to get
Y = 2.93([tex]1.03^2[/tex]) ≅ 3.1
Option A is wrong
B. Y = 38.73x² – 168.58x + 158.1
Substituting x = 1 to get:
Y = 38.73(1)² – 168.58(1) + 158.1 = 28.25
Therefore option B is wrong
C. Y = [tex]102.54^x - 203.4[/tex]
Substituting x = 1 to get:
Y = 102.54 – 203.4 = -100.86
D) [tex]Y = 1.03(2.93^x)[/tex]
Substituting x = 1 to get:
[tex]Y = 1.03(2.93^1)=3[/tex]
Substituting x = 2 to get:
[tex]Y = 1.03(2.93^2)=8.84[/tex]
Substituting x = 3 to get:
[tex]Y = 1.03(2.93^3)=25.9[/tex]
Option D is the closest, it is the correct option
Name the Secondary Consumers/Carbivores,Omnivores
Answer:
secondary consumers: foxes, owls, and snakes. Wolves, crows, and hawks
carnivores: Lion, Wolf, Leopard, Hyena, Polar Bear, Cheetah, Giant Panda.
omnivores: Bears, pigs, racoons, opossums, hedgehogs, skunks, squirrels, rats, and mice
hope this helped!
James is one-third the age of his father Steve. The sum of their ages is 68. How old is James and Steve?
Plese explain in simpler words and use 'x' as the variable..
the one who answers first will get brainliest..
Answer: James + Steve = 68. = 17*3 = 51. Answer. Steve is 51 years old.
please I really need help
Answer:
-8
Step-by-step explanation:
m∠3 + m∠5 = 180 (interior angles are supplementary)
-4x + 5 + (-13x + 39) = 180
-4x + 5 -13x +39 = 180
-17x = 180 - 5 - 39
-17x = 136
x = 136/(-17) = -8
What is the measure of the angle formed by a side of the given angle and the given angle's bisector? 30° 52° 172° 171°30'
Answer:
30°=15° 52°=26° 172°=86° 171'30°=85.75°
Step-by-step explanation:
okay so re-reading over the question, and analyzing what the question wants us to answer, you will then realize that the way to get the answer is to divide x by 2.
our x examples, in this case, would be 30°,52°,172°, and 171'30°.
and that's how you find the answer to this type of question. :)))
In February, Alec had 1,544 visitors to his website. In March, he had 1,386 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? If necessary, round to the nearest tenth of a percent.
a. 11.4%
b. 12%
c. 10.2%
d. 89.9%
Answer:
option c. 10.2%
Step-by-step explanation:
Number of visitors to Alec's website in February = 1,544
Number of visitors to website in March = 1,386
Number of decreasing members = 1544 - 1386 = 158 visitors
decrease percentage = [tex]\frac{\text{number of decreasing members}}{\text{number of previous members}}\times 100[/tex]
= [tex]\frac{158}{1544}\times 100[/tex]
= 10.233 ≈ 10.2%
percentage decrease of the number of visitors is 10.2%.
Option c. is the answer.
18. QS bisects ZPQR. If mZPQS = 3x and
mZROS = 2x + 6, then mZPQR =
?
A. 18°
B. 36°
C. 30°
D. 6°
Sum of the ages of a father and the son is 40 years. If father's age is 3 times that of his son, then father's age is ________ * 2 points 35 40 30 45
Answer:
30
Step-by-step explanation:
Sum of ages= 40
Let the sons age be x
Fathers age = 3 times x or ,3x
So 3x+x=40
4x= 40
x= 40/4
= 10
Therefore the fathers age = 3x
= 3*10
= 30
What steps should be taken to complete the conversion? StartFraction 8 miles Over 1 EndFraction times StartFraction 1.61 kilometers Over 1 mile EndFraction times StartFraction 1000 meters Over 1 kilometer EndFraction = blank
Answer:
See Explanation Below
Step-by-step explanation:
Given
[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]
Required
What steps should be taken to complete the conversion?
The first step is to cancel out equal units;
Kilometre(s) will cancel out Kilometre(s)
Mile(s) will cancel out Miles
And we'll be left with metres
This is shown below
[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]
[tex]\frac{8\ miles}{1\ mile} * \frac{1.61\ kilometres}{1\ kilometre} * \frac{1000\ metres}{1} =[/tex]
[tex]\frac{8}{1} * \frac{1.61}{1} * \frac{1000\ metres}{1} =[/tex]
The next step is to perform all multiplications
[tex]\frac{8 * 1.61 *1000\ metres}{1 * 1 * 1} =[/tex]
[tex]\frac{12,880\ metres}{1} =[/tex]
[tex]12,880\ metres[/tex]
Answer:
10 inches
Step-by-step explanation:
Which statement is true about the right traingle
Answer:
Its 90 degrees
idk if this helps but i hope it does :)
Step-by-step explanation:
Classify ∠COB in the image below as either Acute, Obtuse, Right, or Straight.
Answer:
obtuse
Step-by-step explanation:
The measure of ∠COB is 140° which is greater than 90° but less than 180° so it's an obtuse angle.
Angle COB is 140 degrees, which is Obtuse
Obtuse means between 90 degrees and 180 degrees, exclusive.
What is the value of y?
O A. 30°
OB. 40°
O C. 50°
O D. 60°
For any triangle, the three angles always add to 180
(y+10)+(2y)+(50) = 180
3y+60 = 180 ... combine like terms
3y+60-60 = 180-60 ... subtract 60 from both sides
3y = 120
3y/3 = 120/3 .... divide both sides by 3
y = 40
The estimated probability of a football player scoring a touchdown during a particular game is 39%. Of several simulations of the foot ball player playing two games were performed, in what percentage of the simulations would the football player be most likely to get a touchdown in each of the two games?
Answer:
The percentage of the simulations of two games that the football player would most likely get a touchdown in each of the two games = 15.21%
Step-by-step explanation:
The probability of scoring a touchdown in one game for the football player = 39% = 0.39
Probability of scoring a touchdown in each of the two consecutive games = (Probability of scoring a touchdown in the first game) × (Probability of scoring a touchdown in the second game)
Since the probability of scoring a touchdown in each game the football player plays in is independent of one another.
Probability of scoring a touchdown in the first game = Probability of scoring a touchdown in the second game = 0.39
Probability of scoring a touchdown in each of the two consecutive games = 0.39 × 0.39 = 0.1521
If 100 simulations of the two games are made, the player scores in each of the two games in 15.21 of them, hence, the percentage of the simulations that the football player would most likely get a touchdown in each of the two games = 15.21%
Hope this Helps!!
What force is exerted on a test charge of 3.25 E−5 C, if it is placed in an electric field of magnitude 1.40 E4 N/C? Remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper number of significant digits to receive full credit.
Answer:
0.46 newtons
Step-by-step explanation:
For these kinds of problems, you can employ the formula
[tex]E=\dfrac{F}{q}[/tex]
where E represents the field in N/C, F represents the force in newtons, and q represents the charge in coulombs. You can therefore set up the following equation:
[tex]1.4\times 10^4 N/C=\dfrac{F}{3.25\times 10^{-5}C} \\\\[/tex]
[tex]F=(1.4\times 10^4 N/C) \times (3.25 \times 10^{-5} C)=4.6 \times 10^{-1} N[/tex] (following sig figs)
Hope this helps!
Answer:
your answer is 1.50 E4 N/C
Step-by-step explanation: