Answers
Answer:
2 units
Step-by-step explanation:
Related Questions
(6p+5) (6p-5)
find this using algebric identities
Answers
Answer:
[tex]36p^{2} - 25[/tex]
Step-by-step explanation:
Answer:
36p^2 - 25Step-by-step explanation:
●Using the identity :-
●(a+b) (a-b) = a^2 - b^2
●Here, a = 6p and b = 5
=> (6p+5) (6p-5)
=> (6p)^2 - (5)^2
=> 36p^2 - 25
Hope it helps !!A girl's age in 12 years' time is the square
of her present age. Find her present age.
Answers
Answer: her present age is 4
Step-by-step explanation:
Proof: 4+12=16
Square root 4 is 16
Answer:
4
Step-by-step explanation:
Let x represent her present age. The given relation is ...
x +12 = x^2
Putting this in standard form, we can factor it:
x^2 -x -12 = 0
(x -4)(x +3) = 0
Solutions to this quadratic are x = 4, x = -3. The -3 solution is extraneous in this context.
The girl's present age is 4.
How much material, in square inches, is needed to make the flag? square inches If the material costs $0. 15 per square inch, how much will Marta spend on materials to make the flag? $.
Answers
The amount of material needed by Marta to make the flag is;
[tex]\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex] square inch.
The total cost of making the flag is;
[tex]\rm 0.15 \times\rm \sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex] dollar.
Given
Marta is making a flag with the given dimensions.
The perimeter of the flag is 100 inches.
Let us consider that the flag has a triangular shape.
Hero's formula;According to the Hero's formula;
The area of the triangle is given by;
[tex]\rm Area =\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where, s is the semi perimeter and a, b, and c are the sides of the triangle.
Semi perimeter s = P/2,
Since the perimeter of the flag is 100 inches.
[tex]\rm S=\dfrac{100}{2}\\\\S=50[/tex]
The dimensions of triangular shape are [tex]\rm d_1, d_2 \ and \ d_3[/tex].
Then,
The area of the triangular flag becomes;
[tex]\rm Area =\sqrt{s(s-a)(s-b)(s-c)}\\\\\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex]
So the amount of material needed to make the flag is;
[tex]\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex]
Therefore,
The cost of material = C = $0.15 per square inch
So the total cost in making the flag will be;
[tex]\rm C\times A=0.15 \times A\\\\=0.15 \times\rm \sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex].
Hence, The amount of material needed by Marta to make the flag is [tex]\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex].
To know more about Hero's formula click the link given below.
https://brainly.com/question/24399817
A textbook store sold a combined total of 290 math and history textbooks in a week. The number of math textbooks sold was 64 more than the number of history textbooks sold. How many textbooks of each type were sold
Answers
Answer:
113
Step-by-step explanation:
290 - 64 = 226
226 ÷ 2 = 113
Suppose that all pizzas have the same thickness and the cost and number of servings both depend only on the surface area.
A pizza 10 inches in diameter
costs £8.99 and serves 2 people.
a) How much should a 14-inch pizza cost
b) How many people would the 14-inch pizza serve?
Answers
Answer:
a: 17.62
b: 4
Step-by-step explanation:
not entirely sure if its correct but..
A 3-foot vertical post casts a 24-in. shadow at the same time a pine tree casts a 30-foot shadow. How tall is the pine tree? What is the scale factor of the post to the tree? Can someone pls tell a step by step guide!!!
Answers
Answer:
30
Step-by-step explanation:
[tex]\large\sf\fbox\red{Question:-}[/tex]
check the injectivity and subjectivity of the function:
[tex] \sf \large f:N \longmapsto \: N \: given \: by \: f(x) = x {}^{3} .[/tex]
Answers
Answer:
The function is injective but nor surjectiveStep-by-step explanation:
We see that:
f(x) = x³For any x₁ and x₂ ∈ N,
f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbersIt it confirmed one-to-one, hence it is injective
Check the surjectivity:
f(x) = y ∈ N
x³ = yy = ∛xLet y = 2, then:
2 = x³x = ∛2 ∉ NSince x is not natural, the function is not surjective
Answer:
This function is injective only.
Step-by-step explanation:
N = natural numbers = positive whole numbers equal to or greater than 1.
Therefore [tex]N \rightarrow N[/tex] means that both the input and output are natural numbers.
A function is surjective if for every element in the codomain, there is at least one element in the domain.
Therefore, this function is NOT surjective. For example, there is no natural number for x for which f(x) = 2.
A function is injective if for every element in the codomain, there is at most one element in the domain. This is also called "One-to-One".
Therefore, this function IS injective as there is either none or only one value of x for each value in the codomain.
2x + 2y + 7a -y . Can you guys give working also please
Answers
Answer:
below •Step-by-step explanation:
2x + 2y + 7a - y
2x + 1y + 7a Combine like terms
2x + y + 7a Multiply by 1
7a + 2x + y Rearrange terms
7a + 2x + y RESULTS!
HOPE IT HELPS!!!
Anything to the right of the decimal point is ________ than 1.
Answers
Answer:
The answer is less than 1. :)
what is x
1/3+3=4-x
This is too hard for me
Answers
Answer:
x = 2/3
Step-by-step explanation:
Add the numbers
[tex]\frac{1}{3}+3=4-x[/tex]
[tex]\frac{10}{3}=4-x[/tex]
Rearrange terms
[tex]\frac{10}{3}=-x+4[/tex]
Subtract 4 from both sides of the equation
[tex]\frac{10}{3}-4=-x+4-4[/tex]
Simplify
[tex]\frac{-2}{3}=-x[/tex]
Divide both sides of the equation by the same term
[tex]\frac{-2}{3}/1=\frac{-x}{1}[/tex]
Simplify
[tex]x=\frac{2}{3}[/tex]
[RevyBreeze]
3) A truck has 673 boxes of candies. Each box has a dozen candies in it. What is the total number of
candies on the truck?
Answers
Answer:
8076 candies is the total number of candies on the truck
Step-by-step explanation:
Each box has a dozen candies in it means 1 box contains 12 candies.If 1 box has 12 candies.
then 673 boxes shall have ( 673 * 12 ) = 8076 candies.
What is the greatest common monomial factor of _________ ?
Answers
Answer:
A
Step-by-step explanation:
3. Hildalgo cuts red fabric into two pieces. One piece
of fabric is five times as long as the other piece. If
the smaller piece is 15 cm long, how long was the
whole piece of fabric before it was cut?
Answers
Answer:
well the other piece is 75cm that means the whole fabric is 90cm
Reflect about the line x=5
Answers
Step-by-step explanation:
sori po kailangan ko po ng points sori po talaga
Examine the diagram.
A triangle has angles 1, 2, 3. Angle 4 is an exterior angle to angle 3.
For the angles shown in the diagram, which statements are true? Select all that apply.
The sum of m∠3 and m∠4 is 180°.
The sum of the measures of the adjacent interior angle and one of the remote interior angles is equal to the measure of the exterior angle.
∠3 is supplementary to ∠1.
m∠4 = m∠1 + m∠2.
m∠1 + m∠2 + m∠3 = 180°
Answers
The statements that are true regarding the diagram given are:
m∠3 + m∠4 = 180° (angles on a straight line)m∠4 = m∠1 + m∠2 (external angle theorem)m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).What is the Triangle Sum Theorem?The triangle sum theorem states that all the three interior angles in a triangle have a sum of 180 degrees all together.
Thus, in the diagram given, the statements that are all true are:
m∠3 + m∠4 = 180° (angles on a straight line)
m∠4 = m∠1 + m∠2 (external angle theorem)
m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).
Learn more about triangle sum theorem on:
https://brainly.com/question/7696843
Answer:
A, D, E
Step-by-step explanation:
I got it right.
find the value of w and x
Answers
because angle x and 42° are alternate angles which are equal (these angles are found on a ‘Z’ shape)
y = quite some steps (need to work out other letters beforehand)
w = 70° because w and 70° are corresponding angles (also equal and are found on ‘F’ shapes, thus F is easier to see if the line is extended or mathematically called along the transversal, the transversal is just a line that intersects two parallel lines)
The angle opposite x is also 42° because vertically opposite angles are equal.
Now, all the angles in a triangle add to 180° so y + w (70) + 42 = 180
y = 180-112
y = 68°
Hope this helps!!
On Monday a shop receives $60.30 by selling bottles of water at 45 cents each
How many bottles are sold?
Answers
Answer:
134 bottles
Step-by-step explanation:
For this, I set up a proportion :
60.30/x = 0.45/1
60.30(1) = 0.45x
60.30/0.45 = 0.45x/0.45
x = 134 :)
Answer:
134 bottles
Step-by-step explanation:
conversion of dollars to cent:
$1 equals to 100 cents.
$60.30 will be (60.30*100) cents → 6030 cents
Bottles sold: total money / each bottle cost.
→ 6030 / 45
→ 134
So 134 bottles are sold for 45 cents to earn $60.30 or 6030 cents.
A savings account earns 5% interest each year, compounded monthly. If a person invests $300 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?
Answers
Because 5% of $300 is $15
So since it’s 3 year then we multiply
3x$15= $45 so $300 plus $45 = $345
I hope this helps
Please mark as brainliest
Please help, thank you!
Answers
Answer:
62.6
Step-by-step explanation:
Decompose price effect into income effect and substitution effect.
Answers
Answer:
➢ Breaking up Price Effect into Income and Substitution Effect (with diagram) ADVERTISEMENTS: As price of a good X falls, other things remaining the same, consumer would move to a new equilibrium position at a higher indifference curve and would buy more of good X at the lower price unless it is a Giffen good.
[tex]Into \: your Arms[/tex]
#CarryOnLearning
Sam has a party with snacks. One bowl of snacks has a mixture of fish crackers. There are 15 pretzels, 3 orange, 5 yellow, and 7 green fish crackers in the bowl.
What percent of the fish crackers are yellow?
Answers
Explanation:
Ignore the 15 pretzels. We're only focusing on the fish crackers.
3 orange + 5 yellow + 7 green = 15 total fish crackers
Of that total, 5 are yellow.
So approximately 5/15 = 1/3 = 0.333 = 33.3% of the crackers are yellow.
What is the correct order of operations for simplifying the expression 2 - 3x + 5 + 71 - 5x)2+x
Answers
Answer:
Your answer would be: square the binomial, distribute 7 inside the parentheses, and then combine like terms
Step-by-step explanation:
40 POINTS NOW HELP 5 MINS COME ON HELP
Answers
❥[tex]\Large\pmb{ \underline {\tt Answer}}[/tex]
2x + 5 = 3x - 25
5 + 25 = 3x - 2x
x = 30
Option B
reason:- Attached picture
Answer:
letter C is the right answer
Step-by-step explanation:
hope it helps!
# CARRY ON LEARNING
BRAINLIEST ME PLEASE PLEASE PLEASE PLEASE PLEASE
In a class 18 children are girls A quarter of the children in the class are boys. Altogether, how many children are in the class?
Answers
6 are boys, 18 are girls.
Good luck!
Answer:
24
Step-by-step explanation:
let x be the number of children in the class , then
number of boys = [tex]\frac{1}{4}[/tex] x , so
x = [tex]\frac{1}{4}[/tex] x + 18 ( multiply through by 4 to clear the fraction )
4x = x + 72 ( subtract x from both sides )
3x = 72 ( divide both sides by 3 )
x = 24
There are 24 children in the class
i really want to know what 3-3=
Answers
Find the values of x and y.
Answers
Answer:
Given, x,y and 40 are the angles of a triangle.
Therefore, x+y+40=180
x+y=140
The difference between the two angles x and y is 30.
Therefore, x−y=30 ....(2)
Add equations (1) and (2), we get
2x=170
⇒x=85
Substitute this value n equation (2), we get
85−y=30
⇒y=85-30
⇒y=55
Therefore, angles of a triangle are x=85, y=55 and 40.
Answer:
Step-by-step explanation:
for x :
180° - 40° = 140°
40° / 2 = 20°
x = 20°
for y :
20° + 90° = 110°
180° - 110° = 70°
x = 70°
What's the simplified expression of 6x2y3/2x−2?
Answers
Step-by-step explanation:
6x^2y^3/2x-2
=6x^2y^3/2 (x-1)
=3x^2y^3/(x-1)
Answer:
3x4y3 just got this on a test and it was right
Step-by-step explanation:
HELP PLEASE THANK YOU !!!!!
Answers
Answer:
00248DNEStep-by-step explanation:
1.f(g(2)) = f(0) = 0
2.g(f(2)) = g(2) = 0
3.f(f(2)) = f(2) = 2
4.g(g(2)) = g(0) = 4
5.(f+g)(4) = f(4) +g(4) = 4 +4 = 8
6.(f/g)(2) = f(2)/g(2) = 2/0 ⇒ DNE
_____
To find the value of the function on the graph, locate the x-value on the horizontal axis and work up the vertical line to the curve of interest. Read the value of that point from the vertical scale.
There are 14 red, 10 yellow, 5 green, and 3 purple candies in a bag. What is the probability that a candy chosen at random is not red?
Answers
Answer: 9/16
Work Shown:
14 red + 10 yellow + 5 green + 3 purple = 32 total
(32 total) - (14 red) = 18 that aren't red
18/32 = 9/16 is the probability of picking something that isn't red.
make x the subject of the following: k = 2(3x - 5)
Answers
Answer:
x = (k+10)/6
Step-by-step explanation:
k = 2(3x - 5)
Distribute the 2
k = 6x - 10
Add 10 to each side
k+10 = 6x-10+10
k+10 = 6x
Divide each side by 6
(k+10)/6 = 6x/6
(k+10)/6 = x
Answer:
x = (k + 10) / 6
Step-by-step explanation:
k = 2(3x - 5)
k = 6x - 10
k + 10 = 6x
(k + 10) / 6 = x