for each value of y , determine whether it is a solution to 3y<24.
Answer:
1) No
2) Yes
3)No
4)Yes
Step-by-step explanation:
1) 3(8) is simplified to 24
But 24 < 24 is not a true statement because they are both equal.
2) 3(5) is simplified to 15
15 < 40 is a true statement because 15 is less than 24
3) 3(11) simplifies to 33
33 < 24 is not a true statement because 33 is more than 24
4) 3(6) simplifies to 18
18 < 24 is a true statement because 18 is less than 24
Hope this helped.
With Big Phone Company, you pay $0.39 for the connection and $0.03 per minute
With LittlePhone Company, you pay $0.25 for the connection and $0.07 per minute
If you plan on making a call that will take at least 4 minutes, which company offers the better
deal?
A. Both companies will charge the same amount.
B. There is not enough information.
C. BigPhone company offers the better deal for this call.
D. LittlePhone company offers the better deal for this call
Big Phone Company offers a better deal for this call.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Big Phone Company:
Cost after 4 minutes.
= 0.39 + 4 x 0.03
= 0.39 + 0.12
= $0.51
LittlePhone Company
Cost after 4 minutes.
= 0.25 + 4 x 0.07
= 0.25 + 0.28
= $0.53
Thus,
The Big Phone Company charges less as compared to the LittlePhone Company after using it for 4 minutes.
Learn more about expressions here:
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Abigail’s parents pay her $5 an hour for weeding the yard and pay her little sister $3 an hour for raking leaves.
Write an expression in two different ways to represent the amount their parents will pay Abigail and her sister for working the same number of hours
I dont get help me
Answer: (MAKE ME BRAINLIST PLEASE)
Answer: For Abigail W = $5t
For her younger sibling W= $3t
Bit by bit clarification:
How about we address the compensation with W
t as the time spent on work in hours
Abigail will be paid $5 every hour, her all out compensation will be
W(abg) = $5t
Her younger sibling will be paid $3 every hour, her complete compensation will be
W(lts) = $3t
Two plumbers charge an initial fee and an hourly rate.
The equation y = 100 + 30x models plumber A's fee, where y is the total charge, in dollars, and x is the number of
hours worked
The table shown represents plumber B's total charge for different numbers of hours.
Plumber B
Hours Total Charges ($)
1
105
2.
160
3
215
2.
Part A: Which plumber charges more money per hour? Explain how you know.
Part B: Which plumber charges a higher initial fee? Explain how you know.
Part C: Which plumber charges less money for working 5 hours? Show your work to justify your answer.
Answer:
A) Plumber B charges 55 dollars per hour (105=50+55(1)) because for 1 hour the total is 105, meaning that 105 is y and 1 is x. 50+55=105
B) Plumber A charges more because he charges 100 dollars vs Plumber B's 50 dollars.
C) Plumber A: 250=100+30(5) Plumber B: 325=50+55(5)
Plumber A charges less money for working 5 hours.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that,
Two plumbers charge an initial fee and an hourly rate.
The equation y=100+30x -----(I) models plumber A's fee, where y is the total charge, in dollars, and x is the number of hours worked.
Part A:
From the table, we have (1, 105) and (2, 160)
Now, m=(160-105)/(2-1)
= 55
Substitute m=55 and (x, y)=(1, 105) in y=mx+c, we get
105=55(1)+c
c=60
Substitute m=55 and c=60 in y=mx+c, we get
y=55x+60 -----(II)
By comparing (I) and (II), we can conclude that plumber B charges more hourly fee.
Part B: By comparing (I) and (II), we can conclude that plumber A charges more initial fee.
Part C: Substitute x=5 in y=100+30x, we get
y=$250
Substitute x=5 in y=55(5)+60, we get
y=$335
Plumber A charges less money for working 5 hours.
Therefore, plumber A charges more initial fee.
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Solve each equation by completing the square. n^2 - 6n + 6 = -2
[tex]( {n}^{2} - 6n) + 6 = - 2[/tex]
Find the constant that makes the expression able to be squared. You have to subtract the separated constant by new constant as well.[tex]( {n}^{2} - 6n + 9) + 6 - 9 = - 2 \\ {(n - 3)}^{2} - 3 = - 2 \\ {(n - 3)}^{2} = 1[/tex]
Square Root both sides to get rid the squared expression. Make sure to write plus or minus.[tex] \sqrt{ {(n - 3)}^{2} } = + \sqrt{1} \\ \sqrt{ {(n - 3)}^{2} } = - \sqrt{1} \\ n - 3 = 1 \\ n - 3 = - 1[/tex]
[tex]n - 3 = 1 \: \: \: or \: \: \: n - 3 = - 1 \\ n = 1 + 3 \: \: \: or \: \: \: n = - 1 + 3 \\ n = 4 \: \: \: or \: \: \: n = 2[/tex]
Answer[tex] \large \boxed {n = 4,2}[/tex]
What is the equivilent of +367 on a numberline?
Answer:
367
Step-by-step explanation:
367 because it is positive
Teresa is running the hurdles for the track team. The race times are measured in hundredths of seconds. Teresa’s best time is 19.42 seconds. She needs to run in 18.87 seconds to win the race. If Teresa wins the race, how many seconds better will her new time be? *
a,38.29
b.27.29
c.0.55
d.0.45
help please !! thank you!
Answer:
.5
Step-by-step explanation:
if you put ur mouse on -2 then move to the right 1.5 you will get .5
Hope this Helps!!!
Answer:
-.5
Step-by-step explanation:
1.5 +-2 is -.5 hope this helps
please help me !!!!!
Answer:
The answer is A
Step-by-step explanation:
So there are 12 game pieces 4 pieces are the colors he wants so the fraction would be 4/12 and if u simplify the faction you'll get 1/3
Simplify the expression:
4b - 24 + 19
4p - 5p - 30p
4.2v - 5 - 6.5v
-4w + 4 = 12
help math ahh
Answer:
[tex] - 4w + 4 = 12 \\ - 4w = 12 - 4 \\ - 4w = 8 \\ w = - \frac{8}{4} \\\boxed{w = - 2}[/tex]
w=-2 is the right answer.What is the slope of the line that passes through the points (-6,8) and (-16,33)? write your answer in the simplest form
Answer:
slope or m= -5/2
Step-by-step explanation:
A mathematics class consists of 55 boys and 65 girls .what is the ratio of girls to the total numbers of students? *
11:13
13:11
13:24
11:24
Answer:
I think it's maybe 11:55
Answer:
11:13
Step-by-step explanation:
Just simplify 55:65, by dividing by 5
Need help asap! What is x and y?
Answer:
C
Step-by-step explanation:
I THINK THAT IS THE ANSWER.
Square CDFG below contains several angles. Which pairs of angles in square CDFG are complementary? Select all that apply. С C D 27° 63° | М 64° 26° G F UL Angles DCM and MCG Angles MGF and MGC Angles FGM and MCD Angles DCM and DMC
Answer:
angles FGM and MCD, angles DCM and DMC
Step-by-step explanation:
Answer:
angles FGM and MCD, angles DCM and DMC
Step-by-step explanation:
Write the equation of the line that passes through the point (1,4) and is parallel to y=5
Answer:
The equation of the desired line is thus y = 4
Step-by-step explanation:
A line parallel to y = 5 is a horizontal line. The x-coordinate of every point on this line can take on any x-value; the y-coordinate is always 5.
The line that passes through the point (1, 4) has the constant y-coordinate 4, whereas x can take on any value.
The equation of the desired line is thus y = 4; this line passes through (1, 4) as required and is parallel to y = 5.
Please hurry it’s 100 points
Answer:
I Believe B
Step-by-step explanation:
Hope this helps:)
Answer:
B
Step-by-step explanation:
Its B
help please!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
a) $336
b) $1036
Step-by-step explanation:
a) The interest is computed using the formula ...
I = Prt
where P is the amount invested at rate r for t years.
I = $700·0.08·6 = $336
The interest earned is $336.
__
b) The balance of the account is the sum of the original amount and the interest earned:
balance = $700 +336 = $1036
The balance of the account is $1036.
Are x+x^2 and u+u^2 the same function? If x and u are for all real numbers? A- these are the same function B- If x and u are two different numbers, the functions are different C- there is not enough information to answer this question.
Answer:
(a) These are the same function
Step-by-step explanation:
Given
[tex]x + x^2[/tex] and [tex]u + u^2[/tex]
Required
Are they the same?
Yes, they are the same function and this is proved below.
[tex]x + x^2[/tex]
Represent as a function:
[tex]f(x) = x + x^2[/tex]
[tex]u + u^2[/tex]
Represent as a function
[tex]f(u) = u + u^2[/tex]
Let x = u
Substitute u for x in [tex]f(x) = x + x^2[/tex]
[tex]f(u) = u + u^2[/tex]
This implies that:
[tex]f(x) = f(u)[/tex]
[tex]x + x^2 =u + u^2[/tex]
PS: The information that x and u are real numbers are for all real numbers; So, we can not assume that x and u are different numbers
Hence:
(b) and (c) are wrong
Pls help, I know the answer but what I wrote in the box isn't correct
How do I show the answer?
Answer:
AC=11.38 cm
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:
[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]
[tex]AC^2=289+169-442*0.7431[/tex]
[tex]AC^2=129.53[/tex]
[tex]AC=\sqrt{129.53}[/tex]
AC=11.38 cm
from the adjoining figure, find the value of x
Answer:
x = 2°
Step-by-step explanation:
x + 2x + 30 = 180°
3x + 30 = 180°
3x = 180°/30°
3x = 6°
x = 6°/3°
x = 2°
what is the answer ?
Answer:
4
......................
Dan made 90 free throws in 30 minutes Alex made 60 free throws in 20 minutes compare the unit rates
A) Dan made more free throws per minute
B) Alex made more free throws per minute
C) they made the same free-throw‘s per minute
Answer:
A is the answer ..........
Step-by-step explanation:
A cube is cut in to three parts by vertical slices find the volume of the shaded area The length and width of original is 20 cm and cut part is 10 cm
Answer:
4000 cm^3
Step-by-step explanation:
Note that no image was attached for reference purposes
Step one:
We are given that the original length and width of the cube is 20cm
if the cut part is 10cm
hence the dimension of the cut part is
lenght = 20cm
Width= 20cm
Hieght= 10cm
Step two:
the volume of the cut part will be
Volume= 20*20*10
Volume= 4000 cm^3
Suppose that Omar's marginal utility for cups of coffee is constant at 1.5 utils per cup no matter how many cups he drinks. On the other hand, his marginal utility per doughnut is 10 for the first doughnut he eats, 9 for the second doughnut he eats, 8 for the third he eats, and so on (that is declining 1 unit for each additional doughnut consumed). Suppose that coffee costs $1.00 per cup and doughnuts $1.00 each, and Omar has a budget that he can spend only on doughnuts and coffee. How large would his budget need to be before he would spend a dollar on coffee?
Answer:
$6.5
Step-by-step explanation:
The marginal utility per dollar of a commodity is obtained by:
Marginal utility of coffee = 5.5
Price of coffee = $1
The marginal utility of doughnut declines by 1 per additional unit of donut consumed :
10 / 1, 9 /1..... 1/1
Therefore , before a dollar can be spent on coffee, then the marginal. Utility of coffee should be greater than doughnut.
5.5 doughnuts will be purchased, at this time marginal utility of doughnut will be 5.5/1, the 6th doughnut will have a marginal utility of 5 which is less than that of coffee.
Cost of 5.5 donuts = $5.5
Cost of coffee = $1
Total = $(5.5 + 1) = $6.5
when you spin a 2D triangle, it looks like a 3D pyramid. true or false
Answer:
False
Step-by-step explanation:
Solve |x – 4| + 6 = 17.
A. X= 15 and x = -15
B. x= -15 and x= 7
C. x = 15 and x= -7
D. x = -15 and x = -7
Answer:
[tex]\mathrm{C)\:}x=15,\:-7[/tex]
Step-by-step explanation:
For [tex]|a-b|=c[/tex], there are two possible cases:
[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]
Solving for both cases, we get:
[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]
Solve this triangle using the law of sines
Answer:
answer is 6√3
it's right answer
:-))
Substitute y=-2x+5 into 2y=2x-8 and solve for x
(help me asap please)!!
Answer:
x = 3
Step-by-step explanation:
2y = 2x - 8
2(-2x + 5) = 2x -8
-4x + 10 = 2x - 8
+4x +4x
10 = 6x - 8
+8 +8
18 = 6x
divide both sides by 6
x = 3
Hope this Helps!!!
1 - 2k + 5k <_ -4 + 3k
Answer:
No solution.
Step-by-step explanation:
1-2k+5k<-4+3k Combine like terms on each side wherever you can.
1+3k<-4+3k Subtract -3k on both sides (it's less confusing when you get
-3k -3k rid of the variable first).
1<-4 1 is not less than or equal to -4, so there is no solution.
I hope this helped you out!! Have a great day (*^3^)╭