The probability of drawing a blue counter from the box is 9/20.
To find the probability of drawing a blue counter, we need to determine the number of blue counters in the box and divide it by the total number of counters.
Given that there are 20 counters in total, 6 of them are red, and 5 of them are green. To find the number of blue counters, we can subtract the sum of red and green counters from the total number of counters:
20 - 6 (red) - 5 (green) = 9 (blue)
So, there are 9 blue counters in the box.
The probability of drawing a blue counter is the number of favorable outcomes (blue counters) divided by the total number of possible outcomes (all counters):
Probability = Number of blue counters / Total number of counters
Probability = 9 / 20
Therefore, the probability of drawing a blue counter from the box is 9/20.
Learn more about probability here:
https://brainly.com/question/32117953
#SPJ11
The population of a town has been growing, following the equation P=400t+3000, where t is years after 2010. The number of restaurants in the town has been growing according to the equation R=6t+35.
Complete an equation for the number of restaurants per capita (per person)
Restaurants per capita: ______
How many restaurants per capita does this model predict for the year 2016?_______
Please also explain it to me, only if you can! Thank you!
Step-by-step explanation:
t is time since 2010. so,
the population prediction for 2016 is :
p= 400 ( 2016-2010)+3000
p= 400 (6) + 3000=5400
the number of restaurant prediction for 2016 is.
R=6(2016-2010)+35
R=6 (6)+35=71
so, per capita (per person) there would be:
71 restaurant for 5400.
people that is :71/5400 or 0.0131 restaurant per person.
per restaurant there would be,5400/71 or 76.056 per restaurant.
population corresponding to time (t).
=( R/ P) = (6t + 35). / 400t + 3000, where t= 2016-2010= 6 years
= 71/5400
= 0.0131
Restaurant per capita
R/P = (6t+35) / (400t + 300)
t= 2016-2010 =16
R/P = (6.16+35) /(400.16+3000)
= 131 (6400+3000)
=85/9400
=0.009042
Nicola used 25% of the milk she collected from her goats this morning to make cheese. If she has 8.4 quarts of milk left over, how many quarts of milk did she collect this morning?
Answer:
11.2
Step-by-step explanation:
The answer is 11.2
11.2*.25=2.8
11.2-2.8=8.4
Which postulate or theorem can be used to prove that
ABC~A ADC?
B
• SAS Congruence Postulate
•HL Congruence Theorem
• ASA Congruence Postulate
•SSS Congruence Postulate
Answer:
sSS Congruence Postulate
The answer is SSS Congruence Postulate
Step-by-step explanation:
How do I solve this??? LOL
Answer: y=8
Step-by-step explanation: 4y-4+3y=52
Marty sold a book online. The service charge was a 15% fee for using their website. If Marty sold the book for $60.00, how much money will Marty receive after the fee is assessed?
Answer: Marty would receive $69.00.
Step-by-step explanation:
15% is 9 of 60.
Find the distance from A to C
Answer:
7
Step-by-step explanation:
Answer:74
Step-by-step explanation:
2x + 6y = −6,
4x − 3y = −12
What is the solution to the system of equations?
(
,
)
Answer:
x=-3, y=0. (-3, 0).
Step-by-step explanation:
2x+6y=-6
4x-3y=-12
---------------
-2(2x+6y)=-2(-6)
4x-3y=-12
---------------------------
-4x-12y=12
4x-3y=-12
----------------
-15y=0
y=0/-15=0
2x+6(0)=-6
2x=-6
x=-6/2
x=-3
48 is what percent of 64?
Answer:
Answer is 75.
Step-by-step explanation:
I hope it's helpful!
What is the volume, V, of a right triangular prism with a base that is a right triangle with legs measuring 7 inches and 4 inches, and with a height measuring 7 inches?
Answer:
98
Step-by-step explanation:
i just finished this practice
Answer:
98 in³
Step-by-step explanation:
I just did the practice with a 100 percent and all answers correct first try :P
FIRST CORRECT ANSWER GETS BRANLIEST
Answer:
3 : 10
Step-by-step explanation:
Find the area of rectangle ABCD
Answers:
A. 20
B. 10 square root 2 + square root of 82
C. 24
D. 12
9514 1404 393
Answer:
D. 12
Step-by-step explanation:
There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the two upper-left points, we find the length of that side to be ...
d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2
Similarly, the length of the lower-left side is ...
d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2
Then the area of the rectangle is ...
A = LW
A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12
The area of rectangle ABCD is 12.
_____
Other methods include subtracting the area of the corner triangles from the area of the bounding square:
5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12
|x-4|+6=13 solve this equation
Answer:
I THINK it would be 11.
What is the height of the boat in the scale model?
What length is the real boat?
Answer:
15
Step-by-step explanation:
a) The height of the real boat is 15 feet and the scale model is 3 inches
b) The scale model is 9 inches , and the real height is H = 45 feet
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
The proportion of scale model of the boat to the real boat is 1 : 5
Now ,
a)
The height of the real boat is 15 feet and the scale model is k inches
From the proportion , we get
1 / 5 = k / 15
Multiply by 15 on both sides , we get
k = 3 inches
b)
The scale model is 9 inches , and the real height is H
From the proportion , we get
5 / 1 = H / 9
Multiply by 9 on both sides , we get
H = 45 feet
Hence , the proportion is solved
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ2
Question 1 of 5
Given a sphere with a diameter of 6 cm, find its volume to the nearest whole
number.
A. 113 cm3
B. 37 cm3
C. 85 cm3
D. 905 cm3
Answer:
A. 113cm³
Step-by-step explanation:
Finding the volume with diameter,
[tex]v = \frac{1}{6 }\pi {d}^{3} [/tex]
[tex]v = \frac{1}{6} \times \frac{22}{7} \times {6}^{3} [/tex]
[tex]v = 113.14cm^{3} [/tex]
to the nearest whole number
[tex]v = 113 {cm}^{3} [/tex]
Answer:
113 cm^3
Step-by-step explanation:
I Just took the quiz:)
Which expression is equivalent to (5^3)^-2
Help po plss
1.jane read 10books in one year,while huan rrad 8books.find the ratio jane's to juan's finished books .
2.nadine has 860 female followers out of a total of 1260followes in the social photosharing site find the ratio of female to male followers.
3.a public school has 4415 students and 1200 teachers.what is the ratio of the students to each other teacher.
Answer:
1. 10:8 = 5:4 (simplest form)
2. 860:400 = 43:20 (simplest form)
3. 4415:1200 = 883:240 (simplest form)
Which of the following pairs show(s) two congruent triangles?
Answer:
B only
Step-by-step explanation:
In A and in C, only the angles of one triangle are congruent to the corresponding angles of the other triangle. That proves similar triangles but not necessarily congruent triangles.
Definition of congruent triangles:
Two triangle are congruent if all angles of one triangle are congruent to all corresponding angles of the other triangle and all sides of one triangle are congruent to all corresponding sides of the other triangle.
That happens only with the triangles in B.
Answer: B only
Out of three pairs, only pair B is an example of congruent triangles because they are exactly the same.
What are congruent triangles?
Two triangles are said to be congruent if they are exactly the same i.e. corresponding sides, as well as corresponding angles, are equal.
A)Triangles shown are similar triangles because the corresponding sides are not equal. In fact, they are in proportion.
B)Triangles shown are congruent because corresponding sides, as well as corresponding angles, are equal.
C)Triangles shown are similar triangles because the corresponding sides are not equal. In fact, they are in proportion.
Hence, out of three pairs, only pair B is an example of congruent triangles because they are exactly the same.
To get more about congruency visit:
https://brainly.com/question/1675117
A line segment with endpoints A(−2, 1) and B(2, 1) is dilated with a dilation centered at the origin and a scale factor of 52 to create A′B′¯¯¯¯¯¯¯¯¯¯. Which of the following statements regarding AB¯¯¯¯¯¯¯¯ is not true?
Answer:
AB = 5/2 A'B'
Step-by-step explanation:
the other answers:
2) (−1, 3/2)
3) 8 inches
4) The scale factor is between 0 and 1
5) (8, −4) and (−4, −12)
I just took the quick check, these are the answers. I know you already took it so this isn't helpful but if anyone else needs it^^
Write an equation for the nth term of the geometric sequence 0.6, 3, 15, -- 75, ...
Then find a6. Round to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
nth term = 0.6 × 5ⁿ⁻¹
a₆ = 0.6 × 5⁵ = 1875
The sixth term of the sequence is [tex]3,125.6[/tex]
Geometric sequence
GIven the geometric seqence 0.6, 3, 15, 75, .
The nth term of the sequence is expreessed as [tex]T_n = ar^{n-1}[/tex]
a is the first termn is the number of termsr is the common ratioGiven the following
a = 0.6
r = 5
n = 6
Get the nth term
[tex]T_n= 0.6(5)^{n-1}[/tex]
For thr sixth term:
[tex]T_6= 0.6(5)^{6-1}\\T_6= 0.6(5)^5\\T_6= 3,125.6[/tex]
Hence the sixth term of the sequence is [tex]3,125.6[/tex]
Learn more on geometrc sequence here: https://brainly.com/question/1509142
Solve for x
Solve for x
Answer:
x=19
Step-by-step explanation:
20/36=30/(x+5+30)
20(x+35)=30(36)
20x+700=1080
20x=380
x=19
2a+3b=5
b=a-5 help please
Answer:
2a + 3b = 5
b = a - 5
Step-by-step explanation:
2a + 3b = 5
b = a - 5
You can write this another way:
2a + 3(a-5) = 5 ( I added the second formula in the first one )
Now you gotta factor out:
2a + 3a - 15 = 5
Here im gonna do plus 15
2a + 3a = 20 ==> 5a = 20
Now if you divide by 5, you get: a = 4
Now you can fill in the second formula again
b = a - 5 (ill fill this in now)
b = 4 - 5 = -1
So, this makes:
a = 4 , b = -1
Answer:
a = -2
b = -7
Step-by-step explanation:
the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)
to begin, plug in a - 5 for b in the equation 2a + 3b = 5.
2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5
the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.
2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5
since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.
2a + 3a - 15 = 5 ⇒ 5a - 15 = 5
add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.
now your equation is 5a = -10.
divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.
therefore a = -2.
now plug in -2 for a in b = a - 5 in order to solve for b!
b = a - 5 ⇒ b = -2 - 5
subtract -2 - 5.
b = -2 - 5 ⇒ b = -7
therefore b = -7.
your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3
#2 Find the value of x. Round to the nearest degree.
Answer:
49°
Step-by-step explanation:
arccos x = 15/23
plzzzzzzzzzzz help.
Answer:
D. The area of the triangle is 9 square feet, because the area of the rectangle is 18 square feet.
Step-by-step explanation:
Jess make a big kettle of rice and beans.He used 1 1/2 cup of beans he used 4 cups times as much rice how many cup of rice did Jess use
1.5(4) = 6
jess used 6 cups of rice
answer fast helpp.........................
Answer:
20°
Step-by-step explanation:
In circle with center O, PS is diameter.
[tex] m\angle PRS =90\degree [/tex]
(angle inscribed in semicircle)
PQRS is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
[tex] \therefore m\angle QPS + m\angle QRS = 180\degree [/tex]
[tex] \therefore (x\degree +25\degree) +(45\degree +90\degree) = 180\degree [/tex]
[tex] \therefore x\degree +25\degree + 45\degree +90\degree = 180\degree [/tex]
[tex] \therefore x\degree +160\degree = 180\degree [/tex]
[tex] \therefore x\degree = 180\degree-160\degree [/tex]
[tex]\huge\red {\therefore x\degree = 20\degree} [/tex]
1) If the first coordinate represents the output value and the second coordinate represents
the input value, which two points could NOT be on the graph of the same function?
(output, input)
A. (2.2)
D. (4,7)
B. (2, 3)
E. (7.4)
C (2.4)
Answer:
A. Yup. A.
Step-by-step explanation:
-6/7 times (-3/8 does anyone know the answer?
Please help me please
Answer:
D
Step-by-step explanation:
Left to right so it is KM (eliminate B and C). It isn't A because the line doesn't continue to the left through point A, so it is D.
3. Find the volume of a hemisphere with a radius of 17 inches. Round to the nearest tenth
Roberto earns $6.50 per hour. He worked 32 hours at the regular rate, 8 hours at a time and a half, and 8 at double time. How much did he earn?
Answer $390
Step-by-step explanation:
Answer:
$390
Step-by-step explanation:
First Roberto works 32 hours at 6.50 per hour. At that time, he earn 32*6.5 = $208. Then he works 8 hours at a time and a half. This means that his pay rate is 50% more, or 6.5*1.5 = $9.75 per hour. Since he worked 8 hours at this pay rate, he earns 8*9.75 = $78. And then he works 8 hours double time. This means his pay rate was doubled during that duration. 6.5*2 = 13, 13*8 = $104.
Total: 208 + 78 + 104 = $390