Answer:
b = -4
Step-by-step explanation:
Divide by 2:
b + 12 = 8
b = -4
Answer:
B = -4
Step-by-step explanation:
Take,
-4 + 12 = 8
Then,
8 x 2 = 16.
What is the length of AC?
Please help!!!!
Answer:
Step-by-step explanation:
answer b
Answer:
Option B
Step-by-step explanation:
Let us consider that these right triangles form a sort of proportion among one another. If that is so, we can list out which sides of one triangle correspond to which side of the other triangle;
[tex]BA and DE,\\AC and EC,\\BC and DC[/tex]
With this being said, it is given that BA = 84, and DE = 7. To prove that the could be proportional, let us form a like fraction;
[tex]DE / BA =\\84 / 7 = \\12\\\\Conclusion, BA = 12 * DE\\Conclusion, Sides Of Triangle DEC = 12 * Sides Of Triangle BAC[/tex]
With that, the length of AC in respect to EC can be represented as such;
[tex]AC = 12 * EC,\\156 - x = 12 * x,\\156 - x = 12x,\\156 = 13x,\\\\x = 12[/tex]
[tex]AC = 156 - x = 156 - 12 = 144[/tex]
Solution - Option B
I have worked the answer to a which is 301.6 but I’m not too sure how you work out b any help would be much appreciated!
Answer:
188.5 cm^2
Step-by-step explanation:
a) Your volume is correct.
b) The curved surface area of the cone is called the lateral area.
Its formula is:
LA = (pi)rs,
where pi is 3.14159...
r = radius of the base
s = slant height of the cone
Here, r = 6 cm, and s = 10 cm
LA = (3.14159)(6 cm)(10 cm)
LA = 188.5 cm^2
HELP! ITS ABOUT SURVEYSSS EXPLANATION NEEDED
Answer:
B is the correct answer (Check the explanation below)
Step-by-step explanation:
Probability of boys who do play = 1593/2451 = 0.6499 or 64.99% (if you times by 100 to change to percentage)
Probability of boys who do not play =858/2451 = 0.35 or 35%
Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%
Probability of girls who do not play = 1635/2996 = 0.5457 or 54.57%
Probability of boys and girls who play = 2954/5447 = 0.5423 or 54.23%
Probability of boys and girls who do not play = 2493/5447 =0.4577 or 45.77%
you can see the correct statement is
Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%
total number of girls is 2996 and we found out almost 54% do not play and almost 45% play
factorise m²-14m+49
Answer:
(m-7[tex])^{2}[/tex]
Step-by-step explanation:
On a coordinate plane, a parabola opens up in quadrant 1. It goes through (2, 12), has a vertex at (5, 3), and goes through (8, 12). Write the equation of the function whose graph is shown. y = (x + )2 +.
Answer:
Step-by-step explanation:
You have a vertex coordinate and 2 points. In order to write the equation for that parabola, you only need the vertex and one point. We will fill in the following work form of the parabola:
[tex]y=a(x-h)^2+k[/tex] , where h and k are from the vertex and x and y are from the point. Filling in:
[tex]12=a(8-5)^2+3[/tex] and
[tex]12=a(3)^2+3[/tex] and
[tex]12=9a+3[/tex] and
9 = 9a s0
a = 1.
Now we can write the equation, filling in a, the only unknown we had, which we now know is 1:
[tex]y=1(x-5)^2+3[/tex]
Answer:
y = 1 (x + -5 )2 + 3
Step-by-step explanation:
. A retailer sold 10 packs of pens in 3 days. There were 48 pens in each pack. He sold twice as many pens on Sunday than on Monday. He sold 55 pens fewer on Tuesday than on Sunday. How many pens did the retailer sell on Monday?
Answer:
The number of pens sold on Monday is 107 pens
Step-by-step explanation:
total pack of pen sold by the retailer in 3 days = 10 packs
total number of pens in the 10 packs = 48 x 10 = 480 pens
let the number of pens sold on Monday = x
let the number of pens sold on Sunday = y
let the number of pens sold on Tuesday = z
He sold twice as many pens on Sunday than on Monday
y = 2x ------equation (1)
He sold 55 pens fewer on Tuesday than on Sunday
y = z + 55 ------equation (2)
total number of pens sold in the three days
y + z + x = 480 ------equation (3)
from equation (1) make x the subject of the formula
x = y/2
from equation (2) make z the subject of the formula
z = y - 55
substitute the value of x, and z into equation (3)
y + y/2 + y - 55 = 480
2y + y/2 = 480 + 55
5y/2 = 535
5y = 535 x 2
5y = 1070
y = 1070 / 5
y = 214
The number of pens sold on Monday is:
x = y / 2
x = 214 / 2
x = 107 pens
Thus, the number of pens sold on Monday is 107 pens
If the first term of an AP is 'a' and the common difference is 'd', then the sum of n terms of an AP is _______
If the first term of an AP is 'a' and the common difference is 'd', then the sum of n terms of an AP is
[tex] \frac{n}{2} \times 2a + (n - 1)d[/tex]
Find n so that C(n, 3) = P(n, 2).
Answer:
n = 19/6
Step-by-step explanation:
Formula for C(n,r) = n!/(r!(n-r)!)
C(n,3) = n! /( 3! * (n - 3)!)
Formula for P(n,r) = n!/(n-r)!
P(n,2)= n!/(n-2)!
C(n, 3) = P(n, 2)
n! /( 3! * (n - 3)!) = n!/(n-2)!
[tex]\frac{n!}{3!(n-3)!}= \frac{n!}{(n-2)!}[/tex] cross multiply
n!(n-2)! = n! 3! (n-3)!
(n-3)! = (n-3)(n-2)!
so n!(n-2)! = n! 3! (n-3)! becomes
n!(n-2)! = n! 3! (n-3)(n-2)! divide both sides by n!(n-2)!
1 =6(n-3)
1 =6n -18
19 = 6n
n = 19/6
What is the greatest common factor of the terms in the expression StartFraction 7 over 3 EndFraction a b minus StartFraction 7 over 6 EndFraction b? One-third b One-third a b 7 b 7 a b
Answer:
(C)7b
Step-by-step explanation:
Given the expression:
[tex]\dfrac{7}{3}ab-\dfrac{7}{6}b[/tex]
Let us factor the expression:
[tex]=\dfrac{7b}{3}\left(a-\dfrac{1}{2}\right)[/tex]
Since we need the greatest common factor, we can rewrite the expression as:
[tex]7b\left(\dfrac{1}{3}a-\dfrac{1}{6}\right)[/tex]
Therefore, the greatest common factor is 7b.
The correct option is C.
Answer: C. 7 b
Step-by-step explanation:
Got it right on edge
PLZ HELP 100 POINTS AND DONT BE MEAN
Answer:
Full drum 80 dollars
one lid missing
earn 10 dollars less
Step-by-step explanation:
We need to find the surface area
SA = 2 pi r^2 + 2 pi rh
The diameter is 2 so the radius = 2/2 =1
SA = 2 * pi * 1^2 + 2 * pi * 1 * 3
= 2 pi + 6pi
= 8pi
Using pi = 3.14
SA = 8 *3.14 = 25.12 ft^2
We get 3.18 per ft^2
25.12 * 3.18 =79.88
To the nearest dollar
80 dollars
If one of the lids is missing
SA = pi r^2 + 2 pi rh
pi + 6pi
7 pi
Using pi = 3.14
SA = 7 *3.14 = 21.98 ft^2
We get 3.18 per ft^2
21.98 * 3.18 =69.90
To the nearest dollar
70
The difference is 10 dollars
Answer:
[tex]\Huge \boxed{\mathrm{a) \ \$ \ 80}} \\\\\\\\ \Huge \boxed{\mathrm{b) \ \$ \ 10}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Surface area of the cylinder :
2πr² + 2πrh
The diameter is 2 ft, so the radius is 1 ft.
⇒ 2π(1)² + 2π(1)(3)
⇒ 8π ≈ 25.13
$3.18 is getting payed per square foot.
⇒ 25.13 × 3.18
⇒ 79.9221171073 ≈ 80
If the lid was missing:
πr² + 2πrh
π(1)² + 2π(1)(3)
7π ≈ 21.99
$3.18 is getting payed per square foot.
⇒ 21.99 × 3.18
⇒ 69.9318524689 ≈ 70
The difference :
80 - 70 = 10
$10 less if the lid is missing.
[tex]\rule[225]{225}{2}[/tex]
Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased the
motorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off.
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Select the equation and solution for the number of months, x, It takes her to have $150 left to pay.
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
B. 18.75x - 600 = 150
Clarissa's sister will have $150 left to pay after 8 weeks.
C. -18.75x + 150 = 600
Clarissa's sister will have $150 left to pay after 24 weeks.
D. 18.75x - 150 = 600
Clarissa's sister will have $150 left to pay after 8 weeks.
Answer: A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
Step-by-step explanation:
Given, Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend.
Cost of scooter = $600
Weekly installment = $18.75
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Let 'x' be the number of weeks .
Money she left to pay = (Cost of scooter ) - (Weekly installment) x (Number of weeks)
[tex]\Rightarrow\ 150=600-18.75x[/tex]
[tex]\Rightarrow\ 18.75x=600-150=450\\\\\Rightarrow\ x=\dfrac{450}{18.75}=\dfrac{45000}{1875}=24[/tex]
i.e. After 24 months when she has $150 left to pay for the motorized scooter.
Hence, the correct answer is :
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
Answer:
B)-18.75x+600=150
Step-by-step explanation:
Got it right on my test!
What is the completely factored form of f(x) = 683 – 1332 - 4x + 15?
Answer:-637
Step-by-step explanation:
Which is the solution to the inequality?
Answer:
C
Step-by-step explanation:
y is greater than or equal to 14.
Answer:
Option C
y _> 14
Step-by-step explanation:
here, y is greater than or equal to 14
Suppose $4000 is invested at 6% interest compounded annually. How much money will there be in the bank at the end of 5 years? At the end of 20 years?
Answer: The accumulated amount after 5 years = $ 5352.90
The accumulated amount after 20 years = $ 12828.54
Step-by-step explanation:
Formula to find the accumulated amount after investing P amount at the rate of r ( in decimal) compounded annually for t years:
[tex]A=P(1+r)^t[/tex]
As per given , we have
P = $4,000
r= 6% = 0.06
Put thsese values in formula : [tex]A=4000(1+0.06)^t=4000(1.06)^t[/tex]
The accumulated amount after 5 years = [tex]A(5)=4000(1.06)^5[/tex]
[tex]=4000(1.3382255776)=5352.9023104\\\\\approx5352.90[/tex]
Hence, the accumulated amount after 5 years = $ 5352.90
The accumulated amount after 20 years = [tex]A(20)=4000(1.06)^{20}[/tex]
[tex]=4000(3.20713547221)=12828.5418888\\\\\approx12828.54[/tex]
Hence, the accumulated amount after 20 years = $ 12828.54
Using the compound interest formula, the amount in the bank at the end of 5 years and 20 years would be $5325.90 and $12828.54 respectively
Using the compound interest formula :
[tex] A = P(1 + r)^{t} [/tex] P = principal r = Rate t = timeAfter 5 years :
[tex] A = 4000(1 + 0.06)^{5} [/tex]
Amount after 5 years = $5325.90
After 20 years :
[tex] A = 4000(1 + 0.06)^{20}[/tex]
Amount after 5 years = $12828.54
Hence, the amount accumulated after 20 years will be $12828.54
Learn more : https://brainly.com/question/25581049
Ok so this question is about scientific notation. Which isn’t hard. But the numbers given are too much for a calculator. I don’t get how to do it. Please help and please provide an explanation
Answer:
1.1 x 10^24
Step-by-step explanation:
Mass of earth: 5.97 x 10^24
Mass of venus: 4.87 x 10^24
There are 24 numbers in the mass of venus before the 4, in 4.87. So, that is why we use 10^24.
5.97-4.87=1.1
Please answer asap for brainliest!!!!!
Answer:
x= 50
Step-by-step explanation:
The unknown angle is also x since we have an isosceles triangle and the bases angle are the same
The sum of the angles of a triangle are 180 degrees
x+x+80 =180
2x+80 = 180
Subtract 80 from each side
2x= 180-80
2x= 100
Divide by 2
2x/2 =100/2
x= 50
Answer:
[tex]x=50[/tex]°
Step-by-step explanation:
This is an isosceles triangle since 2 of it's sides are the same length. That means the missing angles are the same. Since a triangles' interior angles add up to 180°, we get:
(180°-80°)÷2=x°
100°÷2=x°
50°=x°
x°=50°
Please does know the answer
Answer:
69.08 cm
Step-by-step explanation:
Volume of each container
= l*b*h
= 20cm*30cm*50cm
= 30000cm ^3
= 0.03 m^3
The volume of 200 of these containers
= 0.03*200
= 6 m^3
The volume of the tank is also equal to 6m^3
Volume of tank = πr^2h
πr^2h= 6
πr^2= 6/4
r^2 = 6/4*7/22
= 42/88
= 0.477
r= √0.477
= 0.6908m
= 69.08cm
Answer:
Base radius = 69.08 cm.
Step-by-step explanation:
Volume of each container = 20*30*50
= 30,000 cm^3
200 of these has a volume of
200 * 30000
= 6,000,000 cm^3.
The volume of the cylinder = π r^2 h
= π r^2 * 400 = 6000000
r^2 = 6000000 / (π * 400)
r^2 = 4774.65
r = 69.08 cm.
78% of a number, P, is 23.4 more than 117% of another number, Q. It is further given
that is 40% of P. Find P and Q.
Answer:
Step-by-step explanation:
"78% of P" looks like this in an algebraic expression: .78P
"117% of Q" looks like this: 1.17Q
"...is 23.4 more than [above]" looks like this: [above] + 23.4
Putting that all together in one equation, knowing that the word "is" means "equals":
.78P = 1.17Q + 23.4
From there, we will now use the fact that Q is 40% of P, which looks like this:
Q = .4P
Now, using that substitution:
.78P = 1.17(.4P) + 23.4 and
.78P = .468P + 23.4 and
.312P = 23.4 so
P = 75
Going back up to what Q is equal to, we will sub in the value of P and solve for Q:
Q = .4P and P = 75, therefore,
Q = .4(75) so
Q = 30
if a=10, What is a/ 2 plus 9
Answer:
a=14
Step-by-step explanation:
if a=10, 10/2 = 5 plus 9 = 14
Answer:
The anwer is 14
Step-by-step 1explanation:
10/2= 5 and 5 plus 9 is 14
identify the domain of the function shown in the graph.
A. x is all real numbers
B. 0<x<5
C. -5<x<5
D. x>0
Answer:
A, all real numbers
Step-by-step explanation:
The domain is the x value and the x value is the domain.
So when you take a look at the x values, it keeps going on and on
So when x values or y values keep going on forever we call that all real numbers
Hope this helps! Plz mark brainliest!
If the domain of f(x)=2x+1 is {-2
Step-by-step explanation:
-4 (A)
because the minimum value of f(x) is f(-2)= -3
the range is between {-3,7}
Answer:
A. -4
Step-by-step explanation:
Each letters from I to W is written on a separate index card and placed in a box. Which ratio represents the probability that a letter in the word MILK will be selected on the first try?
Answer:
Ratio = 4 : 15 or
[tex] \frac{4}{15} [/tex]
Step-by-step explanation:
Here letters from I to W are written on a separate index card.
I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W
Counting the letters, they are 15 in number.
To find the probability that a letter in the word MILK will be selected on first try, we'll get the following:
Possible event / total number
Since the word MILK contains 4 letters, the probability =
[tex] \frac{4}{15} [/tex]
Therefore, ratio that represents the probability that a letter in the word MILK will be selected on the first try is 4 : 15
Determine the mean of the following set of numbers: 40, 61, 95, 79, 9, 50, 80, 63, 109, 42
Round to the nearest tenth place. The mean is
Step-by-step explanation:
work is shown and pictured
A school records the number of pupils that were late each month
Answer:
Colin is wrong
Explanation given below..
Hope it helps!
Step-by-step explanation:
No he's is not correct because the number of pages in January was 30 while the number of pages in March was 20. 20 is not half of 30 and hence it can be concluded that Colin is wrong. For the statement to be correct the number of lates in march should be 30/2 that is equal to 15.
what is the sum of 1/2(4x+4) + (2x+8)
Answer:
4x + 10
Step-by-step explanation:
1/2 x 4x =2x
2x + 2x =4x
1/2 x 4 = 2
2 + 8 = 10 Answer: 4x + 10
Which polynomial is in standard form?
Answer:
B
Step-by-step explanation:
When a polynomial is in standard form, it is arranged in the order of largest power first, followed by the next largest, and then so on. The only polynomial here that follows this rule is the second one, or choice B. Hope this helps!
find the value of x.
please help !!!
Answer:
62 degrees
Step-by-step explanation:
all triangles equal 180 degrees so you would add both angles together then subtract the sum of that by 180
Answer:
[tex]x=62^o[/tex]
Step-by-step explanation:
Since the addition of all internal angles of a triangle should add up to [tex]180^o[/tex], then, the missing angle can be found by subtracting the two known angles from [tex]180^o[/tex]:
[tex]x=180^o-68.5^o-49.5^o=62^o[/tex]
A. all real numbers
B. x≤0
C. x≥4
D. -2≤x≤2
Answer:
D. The true answer is D. -2<x<2
1
Manny tosses a dime 500 times, and it lands on heads 325 times.
What is the theoretical Probability the the dime lands on tails?
(10 Points)
2/3
250/500
o 1/2
13/20
Answer:
7/20
Step-by-step explanation:
He tosses the dime 500 times and it lands on heads 325 times.
There are only two possibilities in a coin toss: Head or tails
This means that it lands on tails:
500 - 325 = 175
The theoretical probability of the dime landing on tails is:
175 / 500 = 7/20
XYZ is a right-angled triangle. Calculate the length of XZ. Give your answer correct to 2 decimal places. PLEASE ANSWER MY QUESTION
Answer:
3.52 m
Step-by-step explanation:
The question is not complete.
Let us assume XY = 1.35 m and YZ = 3.25 m.
If XZ is the longest side of the right-angled triangle (that is the hypotenuse), we can calculate XZ using the Pythagoras theorem.
The Pythagoras theorem state that the square of the hypotenuse side is equal to the sum of the square of the other two sides of the triangle.
That is for Triangle XYZ with XZ as hypotenuse:
XZ² = XY² + YZ²
Substituting:
XZ² = 1.35² + 3.25²
XZ² = 1.8225 + 10.5625
XZ² = 12.385
XZ = √12.385 = 3.5192
XZ = 3.52 m to 2 decimal places
