Select all the expressions which have 3 as the greatest common factor of the terms.
b + 3 + 6c
27n + 66p
38 – 9j + 6k
12x + 75y + 21
–32 – 24z
Answer:
27n+66p and 12x+75y+21
Step-by-step explanation:
The greatest common factor is 3 for 27n + 66p and 12x + 75y + 21.
What are Factors?Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.
For example, 10 = 2 × 5
So we can say that 2 and 5 are factors of 10.
Greatest common factor of two numbers or expressions, as the name suggests is the greatest of all the common factors of the given numbers or expressions.
Consider 27n + 66p
Factors of 27n are 1, 3, 9 and 27
Factors of 66p are 1, 2, 3, 6, 11, 22, 33 and 66
Greatest common factor of both = 3
Consider 12x + 75y + 21.
Common factors of three of them are 1 and 3.
Greatest common factor is 3.
Hence the expression with greatest common factor as 3 are 27n + 66p and 12x + 75y + 21.
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Brandon is going to invest in an account paying an interest rate of 5% compounded quarterly. How much would Brandon need to invest, to the nearest dollar, for the value of the account to reach $490 in 16 years?
Answer:
Brandon wants $490 in 16 years by investing "x" dollars in an account that pays 5% compounded quarterly. How much is "x"?
Principal = Total / [ (1 + (r/n) )^ n * years]
n = 4 (for compounded quarterly)
Principal = 490 / [ (1. + (.05/4)) ^ 4 * 16]
Principal = 490 / [ (1.0125)^ 64]
Principal = 490 / 2.2145324106
Principal = 221.2656710971
So, if we invested 221.27 for 16 years at 5% compounded quarterly interest, we would have a total of $490.00
Step-by-step explanation:
Answer:
221
Step-by-step explanation:
I just know
help me lol
50 points for whoever answers correctly
Answer:
C
Step-by-step explanation:
You want to choose the number line graph that appropriately represents the inequality 0 < x ≤ 26.
Graphing inequalitiesThe given compound inequality is conveniently written with the "arrows" pointing to the left. This means the lower limit of the variable is on the left side of the inequality, just as it is on the left end of the number line graph.
The inequality symbols used are "less than" (<) and "less than or equal to" (≤). The "less than" symbol is represented on a number line graph by an open circle. The "less than or equal to" symbol is represented by a filled dot on the number line.
This means you are looking for a graph that has an open circle on the left end of a solid line, and a filled dot on the right end. Only graphs B and C have finite-length lines, and only graph C has a filled dot at the right end.
Car seatsIn English, the word "between" often implies "and including" when it is describing an interval between two limits. Here, you are given 3 car seat specifications:
A: 0 < x ≤ 26 . . . . . up to 26 lbsB: 18 ≤ x ≤ 35 . . . . . between 18 and 35 poundsC: 26 ≤ x ≤ 75 . . . . . between 26 and 76 poundsThe seats appropriate for a 33-lb child would be seats B and C, because 33 is included in each of those intervals.
Jake has 3 hours before bedtime. He must spend 2 hours doing homework. The rest of his time will be spent doing
puzzles it takes Jake how to complete each puzzle. Which equation models the number of puzzles, p. Jake can
complete before bedtime?
Subtract the following polynomials, then place the answer in the proper location on the grid.
2x^2+5x-10
3x2 - x + 9
Answer:
[tex]-x^2+6x-19[/tex]
Step-by-step explanation:
Step one:
given
[tex]2x^2+5x-10\\\\3x^2 - x + 9[/tex]
we want to perform a subtraction operation
[tex]2x^2+5x-10-(3x^2 - x + 9)\\\\ 2x^2+5x-10-3x^2 + x - 9 \\\\[/tex]
collect like terms
[tex]2x^2-3x^2+5x+x-10-9\\\\-x^2+6x-19[/tex]
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class plays a sport or an instrument?
Answer:
57.14%
Step-by-step explanation:
add those 3 together and convert whats left into a percentage
Write equations for the vertical and horizontal lines passing through the point (-3,0).
Answer:
x = -3
y = 0
Step-by-step explanation:
If there are four quarters in a dollar, which expression correctly shows how you might figure out how many quarters are in $9.25
pls help me show my work and the answer :( tysm!!!
Answer:
37
Step-by-step explanation:
4(9) + 1 = 37
Answer:
There are 37 quarters in $9.25
Step-by-step explanation:
.25 x 37 = 9.25
or
.25 +.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+....till 37
The mean of four number is 30. if three of the numbers are 12, 50, and 48 what's the fourth number?
Answer:
if the mean of 4 numbers is 30 then that means that the total of all the numbers added together must add up to 120 (30 x 4)
then you subtract the three numbers that you have from the total
120-12-50-48 = 10
so the last number is 10
Step-by-step explanation:
Segment addition and midpoints
Answer:
[tex]16[/tex]
Step-by-step explanation:
NO=4NP=11MO=9MP=?MO=MN+NO 9=MN+4 MN=9-4 =5NP=NO+OP 11=4+OP OP=11-4 OP=7MP=MN+NO+OP =5+4+7 =16HOPE IT HELPS
Can anyone help with this question on laws of exponents?
The graph of y= 8x² + 7x - 5/5x² + 2x + 6 has a horizontal asymptote with equation (enter the equation of the horizontal asymptote)
The horizontal asymptote of the rational function y = (8 · x² + 7 · x - 5) / (5 · x² + 2 · x + 6) is y = 8 / 5.
How to determine the equation of a horizontal asymptote
A horizontal asymptote of a rational function is an horizontal line equations to which the rational function tends to when x tends to the infinite. The horizontal asymptote exists whether the lead grade of the numerator is not greater than the lead grade of the denominator.
Now we proceed to find the value of the horizontal function by using limit properties for rational functions:
y = 8 / 5
The horizontal asymptote of the rational function y = (8 · x² + 7 · x - 5) / (5 · x² + 2 · x + 6) is y = 8 / 5.
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A wall clock is generally a more precise tool for measuring a length of time than a stopwatch.
True
or
False
Answer:
False
Step-by-step explanation:
What’s a segment bisector?
Answer:
A segment bisector, always passes through the midpoint of the segment and divides a segment in two equal parts.
Step-by-step explanation:
A segment bisector is something that splits a segment in half.
Like if I had a segment of 4, the segment bisector would cross through the middle and create 2 segments of 2.
9 - (-4)=?
What does that equal to?
Answer:
= 13
Step-by-step explanation:
When you are subtracting a negative both the subtraction sign and the negative cancel out. This makes it so that you are adding them together.
Answer:
the answer is 13
Step-by-step explanation:
This is because when you subtract a positive by a negative if the positive is larger it will be considered the same as addition
Please someone help me: Complete the reasons for the proof.
Given:
m ∠3 = m ∠4
To Prove:
∠1, ∠2 are supplementary
Step-by-step explanation:
1) given
2) 2 non - common sides in 1 ray
3) supplemental
5) opposite angles are congruent
Reasons:
(1) Given
(2) their 2 non-common sides in 1 ray
(3) definition of supplemental angles
(4) Substitution
(5) Opposite angles are congruent (equal)
(6) Substitution
(7) Definition of supplementary angles
PLEASE HELP? What is the graph form of them equation?
Evaluate the numerical expression: 44
The second 4 is an exponent
its 256.............................
Write your own situation about the inequality below. 10 x + 20 ≤ 150
Answer:
k
Step-by-step explanation:
10)×20+21-150
you will end up getting your answers
I want you to just do the easy bit
the calculations if that's alright
Find the equation of the line using Point-slope formula. Write the final equation using slope-intercept form. Perpendicular to 7y=x-4 and passes through the point (-2,2).
The equation of the line using point-slope formula is y-2=-7(x+2) and the final equation using slope-intercept form is y=-7x-5
For two perpendicular lines, m1m2=-1
The line is 7y=x-4
1/7.m2=-1
m2=-7
The equation taking help of point slope form is
y-2=-7(x-(-2))
y-2=-7x-7
y=-7x-7+2
y=-7x-5 (using slope intercept form y=mx+b)
It passes through (-2,2) and is perpendicular to the given line 7y=x-4
The perpendicular lines are two lines that intersect each other and the angle formed between the two lines should be equal to 90 degrees.If two non-vertical lines in the plane intersects at a right angle then they are said to be perpendicular.To learn more about perpendicular lines visit:
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Rick is going to buy donuts for his family. Each donut costs $1.25. If the number of donuts Rick buys is represented using the letter r, which expression represents the total cost?
The expression for the total cost is 1.25r.
How to compute the expression?From the information given, Rick is going to buy donuts for his family and each donut costs $1.25.
Also, the number of donuts Rick buys is represented using the letter r. Therefore, the expression for the total.cost will be:
= 1.25 × r
= 1.25r
The total cost is 1.25r
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You have already saved $55. You earn $9 per hour babysitting. You are saving for a camera that costs $199. Write and solve an inequality represents the possible numbers you need to work to buy the camera.
To solve an equation you use the_____________ operation
Answer:
order of
Step-by-step explanation:
Need help ASAP PLEASE
greater variety of age, range
86.04005 is written in words as
Answer: eighty six point zero four zero zero five. OR eighty six and four thousand five, hundred thousandths
Step-by-step explanation:
the place value answer is a little confusing but its correct i believe
What is the image of (-3, -5) after a reflection over the x-axis
Answer:
(3,-5)
Step-by-step explanation:
I'm pretty sure sorry if I'm wrong
Use the percent formula, A = PB, where A is P percent of B, to answer the following question. What is 24% of 60?
It should be noted that 24 percent of 60 is 14.4.
How to calculate the percentage?The question is to calculate 24% of 60.
This will go thus:
= 24% × 60
= 24/100 × 60
= 0.24 × 60
= 14.4
Therefore, 24% of 60 is 14.4.
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2.Which of the following is NOT true? *
о
The Standard form identifies the y-intercept. It is the "c" from the equation
The Vertex form identifies the vertex
O The factored form helps to find the x-intercepts
The line of symmetry divides the quadratic graph into 4 parts
Answer:
The line of symmetry divides the quadratic graph into 4 parts
Step-by-step explanation:
The line of symmetry divides the quadratic graph into 2 parts, not 4 parts.
Since a quadratic parabola is symmetrical on two sides, the line of symmetry divides it into these 2 parts.
So, this statement is not true.
Find the scale factor of trapezoid QRST if it’s dilated to Q’R’S’T’. Type your result in the empty box provided below. HELPP PLEASE!!!!!!
Answer:
5 units
Step-by-step explanation:
its hard to tell but i think it dilated 5 units
We want to find the scale factor at which QRST is dilated to form Q'R'S'T'
We will find that the scale factor is 2.
In a general dilation, we will see that all the measures change in the same way, by the scale factor.
This means that:
QR*k = Q'R'
RS*k = R'S'
And so on, where k is the scale factor.
Then we can just find one of the equivalent measures in both trapezoids and find the value of k.
For example, we have:
Q'R' = 8
QR = 4
Replacing these on the above equation we get:
4*k = 8
k = 8/4 = 2
k = 2
The scale factor of dilation is 2.
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49 students are enrolled in health and 21 students are not what percentage of students in the school are in rolled in Health 
Answer:
im pretty sure its 30%. because 70% are in heath. so 30% of the students arent. i think... hope this helped.
Step-by-step explanation:
Answer:
i'm pretty sure its 30%.
Step-by-step explanation:
because 70% are in heath. so 30% of the students arent. i think... hope this helped.