Answer:
6, and 18
Step-by-step explanation:
A ratio of 1:3 contains 4 parts because 1+3=4.
Therefore, divide 24 by 4 to get 6.
The number is split between three parts and one part, so the parts are 3(6) and 1(6).
The parts are 6 and 18
Fully Factorise 5k^2+7k
Answer:
k(5k +7)
Step-by-step explanation:
The only factor which is available in both 5k^2 and 7k is k, so you take k outside the bracket and then put the remaining in the brackets
Answer:
5k^2+7k = k(5k+7)
Step-by-step explanation:
5k^2/k = 5k
7k/k = 7
Work out 50 as a presentage of 10
Answer:
500%
Step-by-step explanation:
10= 100%
50= 5*10= 5*100%= 500%
What is the value of the product (3 – 2i)(3 + 2i)?
timed test please help me
Answer:
the answer is 9-4i
Step-by-step explanation:
multiply
The line AB had midpoint (2, 5).
A has coordinates (1, 2).
Find the coordinates of B.
Answer:
The line AB, with A(Ax, Ay), B(Bx, By) and midpoint M(Mx, My) satisfying:
Ax + Bx = 2Mx
Ay + By = 2My
=>
2 + Bx = 2*1
5 + By = 2*2
=> Bx = 0
=> By = -1
=> B(0, -1)
Hope this helps!
:)
Answer:
B(3, 8 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]
let the coordinates of B = (x, y ), then
[tex]\frac{1}{2}[/tex](1 + x) = 2 ( multiply both sides by 2 )
1 + x = 4 ( subtract 1 from both sides )
x = 3
and
[tex]\frac{1}{2}[/tex] (2 + y) = 5 ( multiply both sides by 2 )
2 + y = 10 ( subtract 2 from both sides )
y = 8
Thus
coordinates of B = (3, 8 )
I will mark you brainliest!!
Answer:
C: .94
Step-by-step explanation:
7e^x=18
x=ln(18/7)
x=ln(2.5714)
x=.94
Marl borrowed $200 at 12% simple interest for one year. If he makes no payments that year, how much interest will he owe at the end of the year?
Step-by-step explanation:
Simple interest means that it's not added. You would need to multiply 200 and .12, yielding 24. That's the interest. The total he owes is 224, please mark as brainliest
R (x) = 3x + 17/ -6x^2 + 39x
Answer:
[tex]\frac{3x+17}{-3x(2x-13)}[/tex]
unless there is more to the question
Step-by-step explanation:
You can't do anything to the top so work with the bottom.
since both terms have an x and are divisible by 3 take out a GCF of -3x
The bottom should be: -3x(2x-13)
You can't simplify any further.
How many points does a plane have that is on the same line
4
3
5
6
Jacob rolls two fair number cubes. Find the probability that the sum of
the numbers he rolls is 8.
A Use the table to find the sample space for
1 2.
rolling a particular sum on two number cubes.
Each cell is the sum of the first number in that
1
row and column.
2
3
B
How many possible outcomes are in the
sample space?
4
5
с
6
Circle the outcomes that give the sum of 8.
D How many ways are there to roll
a sum of 8?
What is the probability of rolling a sum of 8?.
TRY THIS!
Find the probability of each event.
1a. Rolling a sum less than 5.
1b. Rolling a sum of 7 or a sum of 9.
REFLECT
1c. Give an example of an event that is more likely than rolling a sum of 8.
1d. Give an example of an event that is less likely than rolling a sum of 8.
Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?
Answer:
J = 0.5k + 5
Step-by-step explanation:
Nick simplified this expression. Is his answer correct?
O No Nick multiplied before dividing
O No. Nick should have converted to all decimals first.
O No. The first step should be division
O Yes. Nick did not make a mistake
Answer:
is A
Step-by-step explanation:
No. Nick multiplied before dividing
Answer:
the answer is nick multiplied before dividing.
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
see below
Step-by-step explanation:
1. 0 = (r + 1)(r + 8)
Using Zero Product Property, r = -1, r = -8
2. h(r) = (r + 1)(r + 8)
= r² + 9r + 8
= (r + 9/2)² - 81/4 + 8
= (r + 4.5)² - 12.25 (Complete the square)
Vertex: (-4.5, -12.25)
At a state park, the rangers' office knows the current population of deer in the park is 482 animals and predicts the population will increase by 5% per year for the foreseeable future. The park's acreage can currently sustain a population of 645 deer, and the rangers estimate that number will increase over the next t years by 20t - t2. Which system of equations can be solved to find the number of years from now, t, when the population of deer will exceed the number sustainable by the park's acreage?
Answer:
In six years the population will exceed 645 deers
help me with this pls like omg soooo stressful
Answer:
t =1
Step-by-step explanation:
3t - 18 = 4(-3-3/4t)
Distribute
3t - 18 = -12 -3t
Add 3t to each side
3t -18+3t = -12 -3t+3t
6t -18 =-12
Add 18
6t -18+18 = -12+18
6t = 6
Divide by 6
6t/6 = 6/6
t =1
Answer:
t = 1
Step-by-step explanation:
start by distributing the 4 to whats in the parentheses.
4 (-3 - 3/4t)
-12 - 3t
*helpful tip: if you multiply a fraction by its denominator the product is equal to its numerator
now you have:
3t - 18 = -12 - 3t
add 18 to both sides
3t = 6 - 3t
add 3t to both sides
6t = 6
divide both sides by 6
t = 1
Point A is the incenter of ΔDEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Angle L D A is 27 degrees. Angle A D M is (3 n minus 6) degrees. What is the value of n? 7 11 14 15
Answer:
The correct option is;
11
Step-by-step explanation:
The incenter is the point where the interior angle bisectors of the triangle meet, hence the interior angles are each bisected into two by the segments DA, EA, and FA respectively
Given that point A is the incenter of ΔDEF, we have;
∠FDE = ∠XDY is bisected by DA which gives ∠XDA = ∠YDA
∠LDA = ∠XDA = 27
∠MDA = ∠YDA = 3··n - 6
Therefore, 27 = 3·n - 6
3·n = 27 + 6 = 33
n = 33/3 = 11°
Answer:
11
Step-by-step explanation:
edge2020
plz help!! i believe it's a but i'm not 100% sure
Answer:
its a
Step-by-step explanation:
What is the standard form of this function?
f(x) = (x − 2)2 + 6
A. f(x) = -x2 − 8x + 10
B. f(x) = -x2 − 6x + 10
C. f(x) = x2 − 8x + 10
D. f(x) = x2 − 4x + 10
Answer:
D
Step-by-step explanation:
To find the standard function, open the bracket
f(x) = (x-2)^2 + 6
(x-2)^2 becomes
x(x-2) -2(x-2)
= x^2 -2x -2x + 4
= x^2 -4x + 4
Now add 6 and it becomes x^2 -4x + 4 + 6
= x^2 -4x + 10
The angle measurements in the diagram are represented by the following expressions
Answer:
Ahhh, vertical angles, thank goodness for these, hahaha!
According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.
Knowing this, you have to set each equation equal to each other in order to solke this one!
Let's do it!
6x + 18 = x + 93
STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.
5x + 18 = 93
STEP 2: Get X alone by subtracting 18 from both sides.
5x = 75
STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.
FINAL ANSWER: x = 15
NOTE: X is B.
Answer:
For whom ever has this question
B=108 x=15
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
Find the term to term rules for the following sequences:
2, 6, 18, 54, 162
Step-by-step explanation:
U=ar^(n-1)
r=6/2=3
a=2
U=2(3)^n-1=6^n-1
How many fourths are in 2?
Answer:
2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.
Step-by-step explanation:
Calculate the surface area of each polyhedron. Pls!! Show work
Answer:
384 m^2
Step-by-step explanation:
Surface area of cube = area of 1 side x 6
area of 1 side, in this case = 64 m^2
so, total surface area = 64 x 6 = 384 m^2
solve for x
possibly answer
12
-7
5
-6
Answer:
12 is the answer. cause 5×12 is 60 and the missing angle is 60 degrees
Can someone please help
Answer:
B. 81 weeks
Step-by-step explanation:
If we plug everything into the equation it should look like this:
[tex]82 = w + 1[/tex]
Then we would subtract 1 from both sides, then we are left with w:
[tex]w = 81[/tex]
Hope this helps!
A ∩ B = ∅. P(B) = .9 P(A ∪ B) = .9. Find P(A).
Answer:
Given: P(A ∩ B) = 0, P(B) = 0.9, P(A ∪ B) = 0.9.
We have: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
=> 0.9 = P(A) + 0.9 - 0
=> P(A) = 0.9 - 0.9 = 0
Hope this helps!
:)
A cylinder has a radius of 3 cm and height h cm. If the volume is 7211 cm^3.
what is the value of h?
Answer:
[tex]255.04[/tex] cm
Step-by-step explanation:
[tex]\pi r^{2} h[/tex]
[tex]\pi \times 3^2 \times h=7211[/tex]
[tex]\pi \times 9 \times h=7211[/tex]
[tex]h=7211 \div 9\pi[/tex]
[tex]h \approx 255.036954[/tex]
Answer:
h = 255.2 cm³
Step-by-step explanation:
V=πr²h
7211 = (3.14)(3)²h
h = 255.2 cm³
The cost to.Purchase a tank.Of gasoline varies directly with the.Number of gallons purchased. You notice that the person in front of you spent $40.50 on 15 gals of gas. If your truck needs 26 gals of gas how much will you spend
Answer:
$70.20
Step-by-step explanation:
We need to first find the cost per gallon of the gas.
The person in front bought 15 gals at $40.50. The price of each gallon will therefore be:
40.50 / 15 = $2.70
You need to buy 26 gallons. The cost will be:
26 * 2.70 = $70.20
You will spend $70.20.
Let the polynomials A = 7x² + 3xy e B = -3xy.
Determine A + B
a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy
Answer:
The answer is A.
Step-by-step explanation:
You have to add up both polynomials together :
A = 7x² + 3xy
B = -3xy
A + B = 7x² + 3xy + (-3xy)
= 7x² + 3xy - 3xy
= 7x²
If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x)
A) 2x-3
B)3x-3
C)4x+1
D)2x-1
Answer:
C.
Step-by-step explanation:
A rope weighs 600 grams per meter of length.What is the weight in kilograms of 12.2 meters of this rope?
