Answer:
D. 15(4a + 3)
Step-by-step explanation:
15 is the least possible factorisation for both sides, therefore D is the most efficient on of all of them
Using the GCF and Distributive property, the expression can be factorized as, d. 15 (4a + 3).
What is GCF?GCF is the abbreviated form for Greatest Common Factor.
As the name suggests, GCF of two or more numbers or expressions is the greatest of all the common factors of them.
The given expression is 60a + 45.
Distributive property for 3 numbers, a, b and c states that,
a (b + c) = ab + ac
There are two terms here 60a and 45.
We can find the GCF using Prime factorization.
60 = 2 × 30
= 2 × 2 × 15
= 2 × 2 × 3 × 5
45 = 3 × 15
= 3 × 3 × 5
Common factors are 3 and 5.
GCF = 3 × 5 = 15
60a + 45 = (15 × 4a) + (15 × 3)
= 15 (4a + 3) [Using the distributive property]
Hence the factorized form is 15 (4a + 3)
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x>-6 on a number line
Step-by-step explanation:
draw a number line and plot on 7 and make an arrow at the other end of the line
expressions equivalent to 2(1.5+2.5)-4
Answer:
I believe that the answer is 4
Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? (Please show simple or advance explanations - 35 points is rewarded :>)
A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)
The first step for factoring is 3w(x + y) - 4z(x + y). The correct option is (A).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given algebraic expression is as below,
3wx + 3wy - 4zx - 4zy
In order to factorize it find the common factors for the group terms such that one of the factors is common for both the groups as follows,
3wx + 3wy - 4zx - 4zy
Take (3wx + 3wy) and (- 4zx - 4zy) as two groups.
The factor form for (3wx + 3wy) is 3w(x + y).
And, for (- 4zx - 4zy) it is -4z(x + y).
Thus, the given expression can be written as,
3wx + 3wy - 4zx - 4zy
= 3w(x + y) - 4z(x + y)
Hence, first step when factoring the given expression is 3w(x + y) - 4z(x + y).
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Find y.
Round to the nearest tenth:
290
500 ft
y
X
y = [ ? ]ft
Answer:
y = 242.4x = 437.3First find the inner angle:
90° - 29°61°[ given hypotenuse = 500 ft ]
using sine rule:
[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]
[tex]\hookrightarrow \sf sin(61)= \dfrac{x}{500}[/tex]
[tex]\hookrightarrow \sf x=sin(61)*500[/tex]
[tex]\hookrightarrow \sf x=437.3[/tex]
using pythagoras theorem:
a² + b² = c²y² + (437.3)² = 500²y = √58760.1y = 242.4Answer:
y = 242.4 ft (nearest tenth)
Step-by-step explanation:
Using the Alternate Interior Angle Theorem
the angle opposite side [tex]y[/tex] is 29°
Using the sine trig ratio:
[tex]\sf sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 29°O = [tex]y[/tex]H = 500 ftSubstitute given values and solve for y:
[tex]\sf \implies sin(29)=\dfrac{y}{500}[/tex]
[tex]\sf \implies y=500sin(29)[/tex]
[tex]\sf \implies y=242.2\:ft\:(nearest\:tenth)[/tex]
A bakery had 14 bran muffins, 19 banana muffins, and 23 pumpkin muffins left at the end
of the day. The leftover muffins were placed into boxes of assorted muffins. There were
8 muffins in each box. How many boxes of assorted muffins were there?
Determine if these statements are correct. Select True or False.
. To solve, add first, and then divide.
O True O False
To solve, divide first, and then add.
O True O False
There were 7 boxes of assorted muffins.
O True O False
There were 8 boxes of assorted muffins.
O True O False
This is a one-step division problem.
O True O False
Answer:
(I put the answers in bold)
To solve, add first, and then divide.
O True O False
To solve, divide first, and then add.
O True O False
There were 7 boxes of assorted muffins.
O True O False
There were 8 boxes of assorted muffins.
O True O False
This is a one-step division problem.
O True O False
Step-by-step explanation:
To get the answer I added all the numbers to get fifty-six and divided it by eight to get seven.
The principal at Key North Middle School wants to determine if the 85 students in the seventh grade prefer to collect bottles or sell magazines as their yearly fundraiser. Which of the following is a set of people that could be a representative sample of the population?
Using sampling concepts, it is found that a sample that involves an equal proportion of boys and girls is representative of the population.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
The students of the seventh grade can be divided into boys and girls, hence, a sample that involves an equal proportion of boys and girls is representative of the population.
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Radius ob measures x units. which expression represents the circumference of the smaller circle with radius oa? (startfraction pi over 3 endfraction)x units (startfraction 2 pi over 3 endfraction)x units 2πx units 6πx units
The circumference of the smaller circle is C = 2*pi*x/3.
We have given that radius ob measures x units
What is the formula for the circumference of the circle ?circumference of the circle is given by,
[tex]C = 2\times \pi \times R[/tex]
where pi = 3.14
R= radius
we have two circles, A and B, where B is the larger circle and A is the smaller circle.
We know that,The circumference of B is 3 times the circumference of A.
The radius of circle B is OB = x
The radius of circle A is OA
We want to find an expression of OA.
The circumference of circle B is given by
[tex]C(B) = 2\times \piOB = 2\times pi\times x[/tex]
The circumference of circle A is given by
[tex]C(A) = 2\times\pi\times OA[/tex]
we know that the circumference of circle B is 3 times the circumference of circle A,
[tex]C(B) = 3\times C(A)[/tex]
replacing the equations for the circumferences
[tex]2\times\pi\times x = 3\times (2\times pi\times OA)[/tex]
We have divide both sides by [tex]2\pi[/tex]we get:
[tex]x = 3\times OA[/tex]
Now we want to solve this for OA, then we need to isolate it,
[tex]x/3 = OA[/tex]
We can conclude that the radius of the smaller circle is equal to x/3.
Then the circumference of circle A is
[tex]C(A) = 2\times pi\times x/3[/tex]
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Answer:
c
Step-by-step explanation:
The athlete usually hits the target with a probability of 0.86. How many times would he hit the target if he did 50 shots?
8) Mercy marks up all goods she sells by 30%. What is the marked up price that she will sell a
hat in her store, that cost her $42?
A. $12.60
B. $45.60
C. $54.60
D. $62.40
It would be 12.60 as the profit, while the revenue is 54.60
Therefore, the answer would be
42*.3=
12.6
12.6+42=
54.60
this is timed so pls hurry! i'll mark brainliest
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
x greater-than 272
x less-than-or-equal-to 272
x less-than 272
x greater-than-or-equal-to 272
Answer:
x is less than or equal to 272
Step-by-step explanation:
you can spend 272 but you can't go over 272.
Please answer number 8. I need help, I don’t understand.
Answer:
A=2πrh+2πr2 this is the surface are formula of a cylinder. You already know the scale ratio is 2.5 so the answer is (2.5*surface area formula). For the formula just plug in the values for the radius and the height that is given and solve.
Step-by-step explanation:
How do you simplify the fractions 4/5 + 3/4 in lowest terms
Answer:
31/20
Step-by-step explanation:
First we find the greatest common denominator, for 5 and 4, that is 20.
[tex]\frac{4}{5} *\frac{4}{4} +\frac{3}{4}*\frac{5}{5} = \frac{16}{20} +\frac{15}{20} = \frac{31}{20}[/tex]
Since 31/20 isn't able to be simplified because 31 is a prime number, this is your final answer.
Solve the word problem below.
Jane took out $135 from her checking account. If Jane now has a balance of $650 in her
account, how much did Jane have in the account before she took out any money?
Step 1: If x represents the variable in the word problem above, explain what the variable should
represent.
Step 2: Write an equation to model the situation.
Step 3: Solve the equation and write your answer in sentence form. Show your work.
Answer:
x = the amount of money Jane had before she took out any
x - 135 = 650
x = 785
Step-by-step explanation:
Let x = the amount of money Jane had before she took out any
Set up the equation
x - 135 = 650
To solve the equation, we must add 135 on both sides to cancel the -135 on the left side of the equal sign.
x - 135 = 650
x = 785
I hope this helps and please mark me as brainliest!
simplify the problem below:
u^n*u^n+1
Answer:
[tex]u^{2n+1}[/tex]
Step-by-step explanation:
Assuming you mean [tex]u^nu^{n+1}[/tex], then [tex]u^nu^{n+1}=u^{n+n+1}=u^{2n+1}[/tex].
Answer:
[tex]\Longrightarrow: \boxed{\sf{u^2^n+1}}[/tex]
Step-by-step explanation:
Solution:This equation can be solved simply by multiplying by the variable to isolate them on one side.
[tex]\Longrightarrow: \sf{u^n*u^n+1}[/tex]
[tex]\sf{u^n*u^n=u^2}\\\\\\\sf{= (u^2)^n}[/tex]
Solve.
[tex]\sf{\left(u^2\right)^n=u^{2n}=\boxed{\sf{u^{2n}+1}}[/tex]
Therefore, the final answer is [tex]\boxed{\sf{u^{2n}+1}}[/tex].
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
12
Step-by-step explanation:
a² + b² = c²
5² + b² = 13²
25 + b² = 169
b² = 144
b = 12
Answer: 12
Answer:
12
Step-by-step explanation:
Using the Pythagorean theorem, we can use [tex]c^{2}-a^{2}[/tex] to find b. 169-25 equals 144. [tex]\sqrt{144}[/tex] equzls 12.
pls help
x values: -7, -2, 3, 8,
y values: 1, 2, 6, 12,
Is the relationship linear, exponential, or neither?
Find the mean absolute deviation of the data below:
7,4,7,7,2,10,12,8,7,5
mean formula number of values divided by the total of all the values
so
100 divided by 10
ans 10
This is the problem it’s on my screenshot
Answer:
(x = 0,y = 0),(x = 1, y = 4),(x= 2, y =8)
Step-by-step explanation:
the rule is to multiply x by 4.
when x = 0, y =4(0) = 0
when x = 1, y =4(1) = 4
when x = 2, y =4(2) = 8
Hope this helps!
Please mark as brainliest!
In this unit, you’re working with a variety of methods for solving quadratic equations. Which method do you prefer over the others? Describe the method in your own words, and give an example of a quadratic equation that could be solved with this method. Show and explain the steps for solving the equation.
Answer:
I believe using the formula is the best method.
Step-by-step explanation:
If I am able to remember the formula this becomes the easiest method in my opinion. It is very simple and anyone can do it if the know basic algebrA.
Find the slope of the line that is parallel and perpendicular to the following equation.
2x - y = -2
Answer:
slope in parallel = 2
slope in perpendicular = [tex]\sf \bold{-\frac{1}{2} }[/tex]
y intercept = (0, 2)
Rewrite in slope intercept form:
slope intercept form: y = mx + b || where "m" is slope and "b" is y-intercept
2x - y = -2-y = -2 - 2xy = 2x + 2 ** identify m and b _ _ _ m = 2, b = 2 **y-intercept: 2 --- as "b" is [+2] then x will be always 0 at y-intercept
y-intercept coordinates: (0, 2)slope is same when parallel
slope in parallel = 2 --- as "m" is [+2]perpendicular slope is negative reciprocal of the parallel slope
m1 is the parallel slope and m2 is the perpendicular slopem1 * m2 = -12 * m2 = -1m2 = -1/2 --- this is the slope of perpendicular lineConvert to slope intercept form
2x-y=-2y=2x+2Slope:-
m=2Parallel lines have equal slope
Slope of the perpendicular line=-1/2
Which sentence is correct?
OA) -3 > 2
OB) -3 <-6
OC) -3>-8
OD) -3>-2
HELP IM BEING TIMED I WILL GIVE BRAINLIEST
Answer:
OC is correct
Step-by-step explanation:
The greater answer is always gonna be the closest one to zero on the number line.
Hopefully this helps!
On the semester final, Joe scored 85, Jill scored 89, and Bill scored a 99. What was the average (mean) score for
these students?
Answer:
91
Step-by-step explanation:
If we add all of the student's scores we get 273. Because there are 3 students we divide 273 by 3 and we get 91 as the average.
A passenger train left new york and traveled north while a freight left from the same place, and the same time and traveled south. After traveling for 6 hours the traines were 720 miles apart. if the passenger train was traveling at 80mph, how fast was the freiht train traveling.
The freight train was traveling at 40 mph.
Let's use the formula for distance:
distance = rate x time
We know that the two trains are moving away from each other, so we can add their distances to get the total distance between them:
distance = distance traveled by passenger train + distance traveled by freight train
Since they started at the same time, the time traveled by both trains is the same, so we can write:
distance = 80 mph x time + rate of freight train x time
Using the given information, we can write:
720 = 80 x 6 + rate of freight train x 6
Simplifying:
720 = 480 + 6(rate of freight train)
240 = 6(rate of freight train)
rate of freight train = 40 mph
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15. In the graph below, f(x) is a linear function and g(x) is an exponential function. Using the graph provided, what is
the equation for f(x)? What is the equation for g(x)?
Answer:
That'd be B. The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0). These two functions are inverses of one another, and so their graphs are reflections about the line y = x.
Step-by-step explanation:
This year a total of 2,185 seventh and eighth grade students attended the junior high school one thousand forty three students are seventh graders how many students are eighth graders
Answer:
1142
Step-by-step explanation:
(all)2185-(7th)1043=1142(8th)
PLEASE HELP WILL GIVE BRAINLIST HURRY PLS
Answer:
we know the trapezoids are similar, so that means all sides are at a ratio, thus
that means from the model to actual, the scale is 1:12, so the large side is 12 times as large.
so for the large trapezoid
EF = 6 * 12 =... 72
EH = 4 * 12 =.. 48
HG = 3 * 12 = ..36
GF = 3 * 12 =...36
72+48+36+36 = 192.
Step-by-step explanation:
mair of angles is classified in the same category according to the angle measure?
h
brainliest if right so who can get it right
Answer:
1. E: 20a - 18
2. D: 42
3. G: 17b + 3
4. I: 105
CODE: EDGI
Step-by-step explanation:
Question 1
Perimeter of a rectangle = 2W + 2L
(where W is the width and L is the length)
Given:
width = 2a + 3length = 8a - 12Perimeter = 2(2a + 3) + 2(8a - 12)
= 4a + 6 + 16a - 24
= 20a - 18
Question 2
When a = 3
⇒ perimeter = 20(3) -18
= 60 - 18
= 42 centimeters
Question 3
The dashes on the side lengths mean those sides are equal in length.
⇒ perimeter = (7b - 2) + (7b - 2) + (3b + 7)
= 17b + 3
Question 4
When b = 6
⇒ perimeter = 17(6) + 3
= 102 + 3
= 105 meters
Juanita a talented artist. She makes and sells t-shirts showing her art work.
She bought a silk screen machine for $400. The materials to make each shirt
cost her $ 8.00. If she sells her shirts for $28, how many shirts must she sell to
make a profit?
Answer:
answer 436 tubig is water halimaw is monster ang Ganda mo Sana kaso ang height mo pang kinder
Step-by-step explanation:
answer is 436 I hope it helps
Will give Brainiest!
Find the ordered pair (s,t) that satisfies the system
s/2+5t=3
3t+6s=9
