We will have 16 white counters in the bag.
Given that there are blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:
Total = 16 + 3 + 2Total = 21If there are 112 more blue counters than white counters, then;
number of blues = number of white + 112
16x = 2x + 112
14x = 112
x = 8
Number of white counters = 2x = 2(8) = 16
Therefore we will have 16 white counters in the bag.
Learn more on ratios here: https://brainly.com/question/2914376
What is the next term of the geometric sequence?
192, 48, 12,
Answer:
3
Step-by-step explanation:
The pattern is dividing 4 each time.
192/4=48
48/4=12
12/4=3
Hope this helps! Plz give brainliest!
Solve to find the value of x: 5(x + 2) = 4x + 5
Answer:
Step-by-step explanation:
The midpoint of JK is M(7, 9). One endpoint is J(5, 8). Find the coordinates of the other endpoint K.
Step-by-step explanation:
(7,9)and (5,8)
x1,y1 x,y
now
x=(x1 + x2)divide by 2
now putting the value
5 = (7+ x2) by 2
2 is in divide then get the 2 in right side with 5 in muntiply form
5×2=7+x2
10=7+x2
10 - 7=x2
x2=3
using the same process do it
y=(y1+y2) by 2
Please help solve this question!
Answer:
[tex]\sqrt{49 - x^{2}}[/tex]
Step-by-step explanation:
Pythagorean theorem [tex]c^{2} = a^{2} + b^{2}[/tex] Then:
[tex]7^{2} = x^{2} + y^{2}\\y^{2} = 7^{2} - x^{2}\\y^{2} = 49 - x^{2}\\y = \sqrt{49 - x^{2}}[/tex]
the lenght of the third side = [tex]\sqrt{49 - x^{2}}[/tex]
Ф = [tex]sin^{-1} (\frac{x}{7} )[/tex]
Ф = [tex]cos^{-1} (\frac{y}{7} )[/tex]
Ф = [tex]tan^{-1} (\frac{x}{y} )[/tex]
You have an account that starts at $2500 with an interest rate of 3.25% compound yearly. How much is in the account after 10 years? Round your answer to the nearest hundredth.
Answer:3,312.50
Step-by-step explanation:1. We assume, that the number 2500 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 2500 is 100%, so we can write it down as 2500=100%.
4. We know, that x is 3.25% of the output value, so we can write it down as x=3.25%.
5. Now we have two simple equations:
1) 2500=100%
2) x=3.25%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
2500/x=100%/3.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
Place the steps to solve 2(x + 3) - 5x > 18 in order.
Answer:
-4
Step-by-step explanation:
That's the answer above
Work out and simplify where possible 3 x 5/11 12 x 3/4
[tex]3 \times \frac{5}{11} [/tex]
turns into
[tex] \frac{3}{1} \times \frac{5}{11} = \frac{15}{11} = 1 \frac{4}{11} [/tex]
[tex]12 \times \frac{3}{4} = \frac{12}{1} \times \frac{3}{4} = \frac{36}{4} = 9[/tex]
Because 36 goes into 4 nine times.
can i have some help on both of these questions for brainlist !!!!!!!!!!!
Answer:
B and A
Step-by-step explanation:
What I did for these problems is plug in the numbers listed for the x-value. For example, in your calculator you’d put; (1/2)^3 and that’d get you 1/8. Then, try it for 8^(2 - 3) which is also 1/8. So, (1/2)^3 = 8^(2 - 3).
The same process for the second problem. 16^(2(7/3) -3) = 4^((7/3) + 1). This should give you 101.59…
I hope this helps :)!
Explain what similarity means in terms of congruence and proportionality.
Answer: Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.
Step-by-step explanation: pls give brainlist
If x < -4, then -4 is a solution.
True
False
Answer:
true
Step-by-step explanation:
the less than or equal to sign (≤) means that -4 is a solution. if it was the less than sign (<) then -4 would not be included
Answer:
i believe it would be true
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
25 added to the difference between Y and 7
Answer:
(y-7) +25
Step-by-step explanation:
( y-7 ) +25
25 is added after the difference. so that's only the answer.
In 2013, a State Library received a three-year grant to add 69,678 books to their
collection. During a used book sale, the library sold 430 books. If the collection
now is five times more than the original number of books, how many books did
the library hold before it received the grant?
The number of books the library holds before it received the grant is 17,312 books
Let the original number of books in the library be x
If the State Library received a three-year grant to add 69,678 books to their collection, the total number of books will be x + 69,678If during a used book sale, the library sold 430 books, the remaining books will be (x+69,678) - 430 = x + 69,248If the collection now is five times more than the original number of books, then;
x + 69,248 = 5x
5x - x = 69,248
4x = 69,248
x = 69,248 /4
x = 17,312
Hence the number of books the library holds before it received the grant is 17,312 books
Learn more on equations here: https://brainly.com/question/25678139
Eight more than twice a number is equal to ten leas five times the number, n. Which equation can be used to find n?
Answer:
Here is what I think the answer is.
n+2n+8 = 5n-10
3n+8 = 5n-10
-8 -8
3n = 5n-18
-5n -5n
-2n = -18
---- -----
-2 -2
n = 9
Step-by-step explanation:
It would be 8 + 2 = 10 - 5n I think.
ANSWER ALLL PLEASEEEEEEEEE ILL GIVE BRAINLIST !!!!!!!!!
Answer:
question 3 is $9.99
question 4 I believe is the third option
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
1 in : 50 mi
Step-by-step explanation:
You can eliminate the choices that don't make any sense by comparing the given numbers to the offered choices:
given:
15 in : 750 mi
__
A. 1 in : 50 mi . . . . . . . . equivalent to dividing the given ratio numbers by 15
B. 15 in : 100 mi . . . . . . same inches, wrong miles
C. 1 in : 750 mi . . . . . . . wrong inches, same miles
D. 1 mi : 50 in . . . . . . . . both inches and miles are wrong (the ratio has the units swapped)
__
In the given ratio, the numerical number of miles (750) is 50 times the numerical number of inches (15). This is the ratio you're looking for among the answer choices. You need to pay attention to both the numerical values and their associated units.
In 2000, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year.
What is the population of the town in 2006?
Answer:
Approximately 9666 people
Step-by-step explanation:
We can describe this trend as the formula [tex]P=8914(1.0136)^{n}[/tex] where [tex]P[/tex] is the population of the town [tex]n[/tex] years after 2000.
Therefore, the population of the town in 2006 will be [tex]P=8914(1.0136)^{6}\approx9666[/tex]
2
Question 7(Multiple Choice Worth 1 points)
(04.04LC)
Point P on the coordinate grid below shows the location of a stage light. A second stage light is 6 units above P. The length of each square on the grid is
2 units. What are the coordinates of the location of the second stage light?
2
16-14-12-1046
012101
O (8.-10)
O (8,2)
(14,2)
(14.-10)
Answer:
Add 8 to the y value of point p, (4, -2 +8)So the location of the second light is on point (4,6)
Interest loans are determined by ______
A. whatever the leader wants to charge
B. your credit profile
C. credit bureaus
D. the amount owed at various times
PLEASE hurry! i need help, my grades are failing and i really need correct answers!
Answer:
I think the answer is D please forgive me if I'm wrong
write the equation of the line in fully simplified slope-intercept form
y= -4x-5 you can find this by seeing how far it goes up/down and where it starts:)
how many feet are in 306 inches
Answer:
25.5
Step-by-step explanation:
There are 12 inches in a foot and therefore...
306/12=25.5
306 inches is 25.5 feet
What is the slope of the line that passes through the points {-3,3} and {-3,13}?
Answer:
undefined
Step-by-step explanation:
is this correct ? if not what’s the correct answer?
Answer:
No. The correct answer would be C.
Step-by-step explanation:
AAS: The side cannot be in between the two angles.
ASA: The side is in between the two angles.
Y-5=0.5x^2+6x-3 how many x-intercepts does the graph of this quadratic have ?
we have that
Y - 5 = 0.5x2 + 6x - 3--------------- > y=0.5x2 + 6x -3+5=0.5x2 + 6x+2
y=0.5x2 + 6x +2
using a graphic tool
see the attached figure
the graph have two x-intercepts----------> (-11.657,0) and (0.343,0)
Can someone help me on this plzzz show work please
Answer:
That is the answer
The answer is
Which table represents the same proportional relationship as the equation Y= 36x?
Answer:
C
Step-by-step explanation:
It does what the equation says. It multiplies x by 36
I hope this helps!
Will give BRAINLIEST
Answer:
Point B is
Step-by-step explanation:
Answer:
B (-2,-4)
Step-by-step explanation:
Which expression is equivalent to w • 35?
A.
(w • 3) + 5
B.
(w • 30) + 5
C.(w • 30) + (w • 5)
D.
(w • 5) + 3
Answer:
A.
(w.3)+5
=w. 3+5
=w . 8
B.
(w.30) +5
=w.30+5
=w . 35
C.
(w.30) + (w.5)
=w.30+w.5
=w+w.30.5
=2w . 35
D.
(w.5)+3
=w . 5+3
=w . 8
so, B is the expression which is equivalent
to w . 35
Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x inches, from each
corner and then fold each side up to form the box. If Jeremy wants the volume of the box to be 432 cubic inches, what should the minimum length
of the sides of the squares cut from each corner be? Find the volume of the box as a function of x. Given: V = length x width x height
a.
The volume of the box V = 4x³ - 72x² + 324x
Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.
Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x
= (18 - 2x)²x
= (324 - 72x + 4x²)x
= 324x - 72x² + 4x³
The volume of the box V = 4x³ - 72x² + 324x
b.
The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.
the length of the box, L = 12 inches, the width of the box = 12 inches and the height of the box, x = 3 inches.Since the volume of the box is 432 cubic inches,
V = 324x - 72x² + 4x³
324x - 72x² + 4x³ = 432
4x³ - 72x² + 324x - 432 = 0
x³ - 18x² + 81x - 108 = 0
A factor of the expression is x - 3
So, x³ - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36
So, x³ - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0
Factorizing the expression x² - 15x + 36 = 0
x² - 3x - 12x + 36 = 0
x(x - 3) - 12(x - 3) = 0
(x - 3)(x - 12) = 0
So, x³ - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0
So, (x - 3)²(x - 12) = 0
(x - 3)² = 0 and (x - 12) = 0
x - 3 = √0 and x - 12 = 0
x - 3 = 0 and x - 12 = 0
x = 3 twice and x = 12
Since x = 3 is the minimum value, the minimum value of x = 3.
Since the length of the box, L = 18 - 2x
= 18 - 2(3)
= 18 - 6
= 12 inches
The width of the box = L = 12 inches
The height of the box = x = 3 inches.
So,
The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.
the length of the box, L = 12 inches, the width of the box = 12 inches and the height of the box, x = 3 inches.Learn more about volume of a box here:
https://brainly.com/question/13309609
HELP ME PLEASE GUYS! :)
y = x is a positively sloped line, meaning that it points to the right. It also has a y-intercept of (0,0).
y = -1/2x + 3 is a negatively sloped line, meaning that it points to the left. It has a y-intercept of (0,-3).
The correct graph is Graph A.
Hope this helps! :)
One electrician charges his customers a $60 service fee plus $35 per hour.
Another electrician charges her customers $65 per hour. How many hours must the
electricians work in order for the total cost of an eelectrician to be the same? What is
the total cost?
Answer:
2 hours; $130
Step-by-step explanation:
We can do this by setting up an equality since we are finding when they are the same. Say x is the number of horus:
65 * x = 60 + 35* x
30 * x = 60
x = 2 hours
The cost will be the same at two hours, and plugging it in, we can get 65*2=130.