Answers
Answer: Choice A) 9
=================================================
Explanation:
We have some variable r that we divide over 3, and then we add on 5. Note the order of operations PEMDAS says to divide first and then add (since D comes before A in PEMDAS).
When we isolate r, we follow PEMDAS in reverse and undo everything. We undo addition by subtracting 5 from both sides
[tex]\frac{r}{3} + 5 \le 8\\\\\frac{r}{3} + 5-5 \le 8-5\\\\\frac{r}{3} \le 3\\\\[/tex]
Then we undo the division happening to r. So we multiply both sides by 3
[tex]\frac{r}{3} \le 3\\\\3*\frac{r}{3} \le 3*3\\\\r \le 9\\\\[/tex]
Since r is less than or equal to 9, this means that r could be 9 or smaller
Only choice A applies.
Related Questions
Round 8,503 to nearest thousand
Answers
Answer:
9,000
Step-by-step explanation:
If x < 5, we round down.
If x ≥ 5, we round up.
Since 8,503, 500 is ≥ 5, we round up to 9. So,
8,503 ≈ 9,000
Answer:
9,000
Step-by-step explanation:
Look to the hundreds place. If the number is 4 or below we round down. If the number is 5 or above we round up.The number is 5, so we round up. The 8 in the thousands place becomes a 9, and the other places become 0s. Write out the newly rounded number: 9,000You're done! I hope this helps!
the midpoint of a horizontal line segment is at x=1 if the length of the line segment is 10.5. what absolute value equation could be used to find the x value of the endpoints
Answers
Answer: -4.25 ≤ x ≤ 6.25
Step-by-step explanation:
The midpoint of a segment is located at the same distance of each of the endpoints of the segment.
The midpoint is at x = 1.
The length of the segment is 10.5, if we divide it by two we have:
10.5/2 = 5.25
Now, if we want the endpoints to be at the same distance of the midpoint, then the endpoints will be:
Xmax = midpoint + 5.25
Xmin = midpoint - 5.25
Then the extremes are:
Xmax = 1 + 5.25 = 6.25
Xmin = 1 - 5.25 = -4.25
Then this segment can be written as:
Xmin ≤ x ≤ Xmax
-4.25 ≤ x ≤ 6.25
if point C is between points A and B, then AC+CB=______?
Answers
Answer:
AB
Step-by-step explanation:
Audrey Lorenz assembles gift baskets for a florist. The owner pays her $0.45 per small basket and $0.75 per large basket on Tuesday, she assembled 288 small baskets and 72 large ones what is her total pay?
Answers
Answer:
Step-by-step explanation:
(.45)(288)= $129.60
(.75)(72)= $54
$129.60 + 54 = $184.60 is Audrey's pay
By assembling 288 small baskets and 72 large ones she earned $183.6.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The owner pays her $0.45 per small basket and $0.75 per large basket and she assembled 288 small baskets and 72 large ones.
So, Her total pay can be obtained if we multiply pay per box by the no. of boxes and add them it will be her total pay which is,
= (0.45)(288) + (0.75)(72).
= $(129.6 + 54)
= $183.6
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Simplify the expression with the given variable’s ?! 3r-4s, when r= 5 and s= 2/3
Answers
Answer:
12.33
Step-by-step explanation:
3r-4s
3×5-4×2/3
15-8/3
12.333
On a number line, suppose point E has a coordinate of -2, and EG = 13. What are the possible coordinates of point G?
Answers
explanation -2. -1. 0 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.
you count from -2 to 13 on the number line
( 2r 2 - 16r + 29 ) ¸ ( r - 5 )
Answers
Answer:
-12r^2 + 89r - 145
Step-by-step explanation:
(2r(2)−16r+29)(r−5)
=(2r(2)+−16r+29)(r+−5)
=(2r(2))(r)+(2r(2))(−5)+(−16r)(r)+(−16r)(−5)+(29)(r)+(29)(−5)
=4r2−20r−16r2+80r+29r−145
=−12r2+89r−145
What is the solution to this system of equations using the linear combination method?
4x + y = 5
3x + y = 8
(0, – 3)
(-3, 17)
(0,5)
(2, -3)
Answers
Answer:
My answer is (-3, 17).
Step-by-step explanation:
You will use minus sign for the equation in other to eliminate one of the letters and use the other one to find the one eliminated later...Which means that 4x+y=5 (-) 3x+y=8..... the minus sign will eliminate +y and +y in each equation because the "+y" in the second equation will be turned to -y because + times(×) - will give us minus sign so the "y" will be eliminated to give space for the 'x" .After the x has been found which is x=-3 then you will substitute x=-3 into the any equation and then you will also find the "y" which is y=17.....Thank you
is square root of 140 a rational or irrational number ?
Answers
Answer: The square root of 140 is irrational.
Step-by-step explanation:
Take the square root of 140:
11.8321595662
This is an imperfect square root, and all imperfect square roots are irrational.
200+45655 iiiiii néed help plsssss¡
Answers
Answer:
45855
Step-by-step explanation:
45655
+200
=45855
Answer:
45855
Step-by-step explanation:
Clara is completing a math project.she has two ropes with length 126cm and 291cm.she wants to cut them into pieces of equal length without remainder.what is the greatest possible length of each smaller pieces of rope??this is my homework so pls kindly help me for the answer i would really appreciate it!✨
Answers
Answer:aw45
Step-by-step explanation:
w
Which expressions are equal to 0 when x = -1? Check all that apply.
4(x + 1) divided by
(4x + 5)
4(x - 1) divided by
(5 - 4x)
4(x - (-1) divided by
(4x + 5)
04.(X + (-1) divided by
(4x + 5)
0 4(x + 1) divided by
(5 - 4x)
Answers
Answer:
A C and E
Step-by-step explanation:
The volume, in cubic feet, of a right cylindrical silo of height and radius is [tex]V = \pi r^2h[/tex] The height of the silo is h(r) = 3.5r. Which statements are true regarding the functions described?
A. To get a volume of 100 cubic feet, the radius must be 2 feet.
B. The domain of [tex]V(h(r))[/tex] is restricted to values of r greater than 0.
C. The output of V is the input of h
D. [tex]V(h(r)) = 3.5\pi r^3[/tex]
E. The volume depends on the radius of the cylinder
Answers
1. The domain of [tex]V (h(r))[/tex] is restricted to values of r greater than 0.
2. [tex]V(h(r)) = 3.5\pi r^3[/tex]
3. The volume depends on the radius of the cylinder
State how many imaginary and real zeros the function has.
f(x) = x4 - 15x2 - 16
Answers
Answer:
2 real roots
2 imaginary roots
Step-by-step explanation:
So we have the function:
[tex]f(x)=x^4-15x^2-16[/tex]
And we want to find its zeros.
First, let u equal x². So:
[tex]0=u^2-15u-16[/tex]
Factor:
[tex]0=(u-16)(u+1)[/tex]
Zero Product Property:
[tex]u-16=0\text{ or }u+1=0[/tex]
Add 16; Subtract 1. Replace u:
[tex]x^2=16\text{ or }x^2=-1[/tex]
Take the square root:
[tex]x=\pm 4\text{ or }x=\pm i[/tex]
So, our solutions are 2 real roots and 2 imaginary roots.
3. What is the Kinetic Energy of a 100 kg object that is moving with a speed of 12.5 m/s?
Answers
Answer:
7812.5 J
Step-by-step explanation:
Kinetic energy is equal to 1/2 m v^2.
The mass of the object is 100 and the velocity is 12.5 m/s.
Therefore, the kinetic energy is 1/2 (100) (12.5)^2 = 7812.5 J.
Answer:
KE = ½ (100kg) (12.5 m/s)2
KE = ½ (100kg)(156.25)
KE = 7,812.5J
answer ^
Step-by-step explanation:
KE = ½ mv2
KE = ?
m = 100kg
v = 12.5m/s
56 points! Please help
Answers
Answer:
Segment bisector: JK
MN= 52
Step-by-step explanation:
The segment bisector basically means the point where the line is cut in half. If you study the figure, you can see the two small red lines intersecting The longer line. This means that the two small black segments are equal to each other. With this in mind, we now know that the segment bisector is line JK.
To find the length of MN, study the figure again. You can see that we are given the value of one line segment that is half the length of MN. So all we need to do is multiply that value by 2:
[tex]26*2=52[/tex]
The length of line segment MN is 52.
:Done
Answer:
MN = 52
Step-by-step explanation:
bisector is just a half of its length
looking through the graph
MN = 26 * 2 (just multiply ot by 2)
MN = 52
Find the area of a circle with diameter 15cm
Answers
Answer:
177 cm²
Step-by-step explanation:
Area of circle = [tex]\pi[/tex]r²
Radius = diameter/2 = 15/2 = 7.5
Therefore,
Area = 22/7 × 7.5 × 7.5
= 176.7 = 177 cm²
Answer:
The answer is
176.71 cm²Step-by-step explanation:
Area of a circle is given by πr²
where
r is the radius
From the question we were given the diameter
To find the radius using the diameter we use the relation
[tex]radius = \frac{diameter}{2} [/tex]
diameter = 15 cm
[tex]radius = \frac{15}{2} [/tex]
radius = 7.5 cm
Substitute the value into the above formula and solve for the area
Area = (7.5)²π
= 56.25π
= 176.714586
We have the final answer as
176.71 cm² to 2 decimal places
Hope this helps you
What is the product of the polynomials below?
(7x2+2x+4)(2x+5)
Answers
Answer:
This is a simple multiplication problem.
Here is my steps:
(14x^3 + 35x^2 + 4x + 10x + 8x + 20)
Combine like terms:
(14x^3 + 35x^2 + 22x + 20)
And that is your answer^^
Answer:
14x3+ 39x2 +8x +20
Step-by-step explanation:
Use the distributive property and/or the FOIL (front, outer, inner, last) method.
First:
Multiply (7x2)(2x)
=14x3
Then (7x) (5)
=35x2
Second:
Multiply (2x)(2x)
=4x2
Then (2x)(5)
=10
Third:
Multiply 4(2x)
=8x
Then (4)(5)
=20
You should get:
14x3 +35x2 +4x2 +10 +8x +10
Add all common numbers.
You should get:
14x3+ 39x2 +8x +20
ILL GIVE YOU BRAINLIST !
North Carolina entered the Union x years after Pennsylvania. Which expression shows the year North Carolina entered the Union?
A. 1845 + x
C. 1787 + x
B. 1845 - X
D. 1787 - X
Answers
Answer:
Option (C)
Step-by-step explanation:
State Year entered into Union
Pennsylvania 1787
Indiana 1816
Florida 1845
Texas 1845
West Virginia 1863
Since North Carolina entered the Union 'x' years after Pennsylvania, expression that represents the the year North Carolina entered the Union will be = (1787 + x)
Therefore, Option (C) will be the answer.
Answer:
The answer is C
"-8 is 12 less than a number."
Answers
Answer:
The answer would be x<4
Solve the problem
X/5 +4=17
Answers
Answer:
x = 65
Step-by-step explanation:
X/5 +4=17
Subtract 4 from each side
X/5 +4-4=17-4
x/5 = 13
Multiply each side by
x/5 *5 = 13*5
x = 65
Answer:
x=65
Step-by-step explanation:
x/5+4=17
solve for x by simplifying for both sides of the equation, then isolate the variable. x=65
The average natural gas bill for a random sample of 26 homes in the 19808 zip code during the month of March was $305.30 with a sample standard deviation of $46.50. The critical value for a 95% confidence interval around this sample mean is ________.
Answers
Answer:
2.06
Step-by-step explanation:
The formula for critical value = Margin of Error / Standard Error
Margin of Error = z × Standard deviation/√n
Mean for the month of March = $305.30
Standard deviation = $46.50
n = number of samples = 26 homes
z score for 95% confidence interval = 1.96
= 1.96 × $46.50/√26
= 17.874024556
Standard error = standard deviation/√n
= $46.50/√26
= 9.1194002839
Critical value = Margin of Error/Standard Error
= 17.874024556/9.1194002839
= 2.06
1.) 3.4 + .95 +89
2.) 5.9 +.85 +.832
Answers
Answer:
1.) 93.35
2.) 7.582
Step-by-step explanation:
Answer:
1. 3.4 + .95 +89 = 93.35
2. 5.9 +.85 +.832 = 7.582
Evaluate the expression. If necessary, round to the nearest hundredth. log3 1
Answers
Answer:
0
Step-by-step explanation:
The base is 3. You are taking the log base 3 of 1.
Since 3^0 = 1,
log_3 1 = 0
Choose all sets that contain the number –2.22.
Answers
Answer:
it is only the RATIONAL numbers who can contain that number
Answer:
rational and real numbers!!
Step-by-step explanation:
Solve the equation x+2/3=18
Answers
Answer: x=52/3
Step-by-step explanation:
x+2/3=18
x=18-2/3 ⇔ subtraction property of equality
x=54/3-2/3 ⇔ convert integer into fraction
x=52/3
Hope this helps!! :)
Answer:
see below
Step-by-step explanation:
( x+2)/3=18
Multiply each side by 3
(x+2)/3 *3 = 18*3
x+2 = 54
Subtract 2
x+2-2 =54-2
x = 52
or if
x+2/3=18
Subtract 2/3
x+2/3 -2/3 = 18-2/3
x = 17 +1 -2/3
x = 17 1/3
a dvd player that costs a store $28 is marked up by 80% what is the sale price
Answers
Answer:
$50.4
Step-by-step explanation:
Cost = $28
Mark up = 80%
Sale price is:
$28 + 80% = $28*1.8 =$50.4It’s going in a pattern I’m not doing it
Answers
Answer:
They keep adding 3x as much
Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. slope = -5, passing through (4,-2)
Answers
Answer:
Step-by-step explanation:
y + 2 = -5(x - 4)
y + 2 = -5x + 20
y = -5x + 18
Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading coefficient. If the function is not a polynomial, state why. f(x)=1050
Answers
Answer:
D
Step-by-step explanation:
The function f(x) = 1050 is a polynomial with degree zero option (A) this is a polynomial function of degree zero with a leading coefficient of 1,050 is correct.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
The question is incomplete.
The complete question is:
Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading coefficient. If the function is not a
polynomial, state why.
F(x) = 1,050
A. This is a polynomial function of degree zero with a leading coefficient of 1,050.B. This is not a polynomial. Horizontal lines can not be polynomials as there are no turning points.C. This is not a polynomial. Only vertical lines of the form x = b can be classified as a polynomial.D. This is not a polynomial because there are no variables.We have a function:
f(x) = 1050
We can write it as:
f(x) = 1050x⁰
x⁰ = 1
As we know from the definition of the polynomial:
The polynomial is a combination of the variable and constant with powers of x that are non-negative.
f(x) = 1050 is a polynomial function of degree zero with a leading coefficient of 1,050.
Thus, the function f(x) = 1050 is a polynomial with degree zero option (A) this is a polynomial function of degree zero with a leading coefficient of 1,050 is correct.
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