Answer:
dots?.............................................................................................................................................................................................................................................................
Step-by-step explanation:
1. John is going to join a gym. He must pay a one-time membership fee of $75 and a monthly fee of $30. Let m = the number of months John has his membership. Write an expression to represent this situation How much will John pay for 6 months of membership?
2. Madison is having a party. She went to the store and bought a cake for $18.50 and 20 balloons. Her total bill was $63.50. How much did each balloon cost if they all cost the same? Write and solve an equation. Please look over these again. Webmail your answers to get your points back.
John's membership in the gym and Madison's party are illustrations of linear equations.
1. John's equation
The given parameters are:
[tex]\mathbf{Base = 75}[/tex]
[tex]\mathbf{Monthly = 30}[/tex]
The monthly expression is:
[tex]\mathbf{f(m) = Base + Monthly \times m}[/tex]
So, we have:
[tex]\mathbf{f(m) = 75+ 30 \times m}[/tex]
[tex]\mathbf{f(m) = 75+ 30m}[/tex]
For 6 months, we have:
[tex]\mathbf{f(6) = 75+ 30 \times 6}[/tex]
[tex]\mathbf{f(6) = 255}[/tex]
Hence, the expression that represents the situation is [tex]\mathbf{f(m) = 75+ 30m}[/tex], and the amount for 6 months of membership is $255
2. Madison's party
The given parameters are:
[tex]\mathbf{Cake = 18.50}[/tex]
[tex]\mathbf{Balloon = 20}[/tex]
[tex]\mathbf{Total = 63.50}[/tex]
Let n represent the cost of each balloon.
So, the equation is:
[tex]\mathbf{Cake + Balloon \times n = Total}[/tex]
This gives:
[tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex]
Subtract 18.50 from both sides
[tex]\mathbf{ 20 \times n = 45}[/tex]
Divide both sides by 20
[tex]\mathbf{ n = 2.25}[/tex]
Hence, the expression that represents the situation is [tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex], and the cost of each balloon is $2.25
Read more about linear equations at:
https://brainly.com/question/11897796
How can you tell if you are finished solving a polynomial division problem?
The polynomial division problem can be concluded finished if; their is no remainder or the Divisor is larger than the remainder.
According to the question:
We are required to determine when a polynomial division problem is finished.In polynomials, the division of a polynomial NY the Divisor gIves a quotient and a remainder.
Read more:
https://brainly.com/question/12520197
The equivalent ratios are 6 : 2, 3 :
,
: 4, 15 :
.
Answer:
Hi freind just it
Step-by-step explanation:
There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?
Answer:
32
Step-by-step explanation:
Trust me its hard to explain.
Can someone help me on these two questions? NO LINKS!
Answer:
6. a 7. c
Step-by-step explanation:
6. 72 is multiple of 24 and has 18 as a factor
7. 56= 32= 88
8(7+ 4)
=) 56+ 32= 88
OR
=) 8(11)= 88
plz help! so hardddddddd
Answer: The average temperature on Earth has risen.
Step-by-step explanation:
If you look at the graph, you can see that the average for temperature on Earth has risen since 1800s through 2000s
A family on a trip budgets $1,338 for meals and gasoline. If the price of a meal for the family is $90 and if gasoline costs $2.80 per gallon, then how many gallons of gasoline can the family buy if they buy 13 meals
’creating a system linear equation, the number of possible gallons of gasoline that can be purchased is 60 gallons
Given the Parameters :
Total budget = 1338Meal cost = $90Gasoline cost = $2.80 per gallon Number of meals = 13 Number of gallons of gasoline = gHence, we have :
90(13) + 2.80g = 13381170 + 2.80g = 1338
2.80g = 1338 - 1170
2.80g = 168
g = 168/2.80
g = 60
Therefore, only 60 gallons of gasoline can be purchased.
Learn more : https://brainly.com/question/18796573
7.
Fit a quadratic function to these three points:
(−1, −11), (0, −3), and (3, −27)
y = −4x^2 − 4x + 3
y = −4x^2 − 4x − 3
y = −4x^2 + 4x − 3
y = 4x^2 − 4x − 3
Answer:
y = −4x^2 + 4x − 3
Step-by-step explanation:
what is the value of x?
a)
[tex]2 \sqrt{10} [/tex]
b)
[tex]2 \sqrt{2} [/tex]
c)
[tex]2 \sqrt{5} [/tex]
d)
[tex]2 \sqrt{3} [/tex]
Answer:
A
Step-by-step explanation:
using pythagoras theorem
h²=p²+b²
Belvedere goes to the store and buys a garden statue for $30. The store has a sales tax rate of 7.8%. How much tax will Belvedere have to pay?
Answer:
$2.34
Step-by-step explanation:
30x0.078=2.34
URGENT PLEASE HELP WILL MARK BRAINLIEST
Answer:
The correct answer will be option D.
Step-by-step explanation:
They both have a pretty fair chance of winning.
How to solve this? If u can ols sho step by step
for example, the line is y = ax + b (1)
we have the line go through the point ( 0 ; 3 ) so y = 3 (2)
we also have the line go through the point ( 0 ; 5 ) so x = 5 (3)
And look at the picture we also have b= 3 (4)
Put (2)(3)(4) in (1) we gonna have a= -3/5
so the line gonna be y = -3/5x + 3
P/s: if you don't understand, you can try this:
we have the line go through the point ( 0 ; 3 ) so y = 3
we also have the line go through the point ( 0 ; 5 ) so x = 5
so put it in the answer :
+) -3x -5y = 15
when x = 0 => y = -3 but y = 3 so it's wrong
+) y = -3/5x + 3
when x = 0 => y = 3
when y = 0 => x = 5 it's right :))
+) 3x + 5y = 15
when x = 0
when y = 0 => x = 5 it's right :)) but write improperly :'))
+) y = -3/5 ( x - 5 )
when x = 0 => y = 3
when y = 0 => x = 5 it's right :)) but write improperly :'))
so we choose y = -3/5x + 3
ok done. Thank to me :>
Evaluate each expression for a=7,b=4,and c=-3.
3a-5b =________
7-3a+5a+15 =________
15a^2-17〖bc〗^2 =________
Pls help me
Answer:
Step-by-step explanation: 3a-5b= 3(7)-5(4)
=21-20
=1
7-3a+5a+15=7-3(7)+5(7)+15
=7-21+35+15
=-14+50
=36
15a^2-17(bc)^2=15(7)^2-17(4)(-3)^2
=105^2-204^2
=210-408
=-198
test the following statements to see if it’s reversible if so choose the true biconditional
Answer:
the statement is not reversible
Step-by-step explanation:
Hi there!
We are given the statement "if x=3, then x²=9"
In this case, the hypothesis (p) is x=3, while the conclusion (q) is x²=9
Reversing the statement would make it so that q is first, then p is after.
In other words, if the statement was originally "if p, then q", then the reverse of that statement would be "if q, then p"
This is known as the CONVERSE of the statement. Sometimes, the converse is true, but not always. If both the statement and the converse are true, then it's known as a BICONDITIONAL, where it works both ways
So we'll need to test if the following statement "if x²=9, then x=3" is true
If you subtract 9 from both sides, x²=9 becomes this equation:
x²-9=0
Using the square of differences formula, where x is a and 3 (square root of 9) is b:
(x-3)(x+3)=0
Now using zero product property:
x-3=0
Add 3 to both sides
x=3
AND:
x+3=0
Subtract 3 from both sides
x=-3
We see that the answers from this equation are x=3 and x=-3.
*if you plug 3 and -3 back in the equation, we can see they both work. Remember that x² is equal to x*x, or (x)²:
If x=3:
(3)²=9
(3)(3)=9
9=9
If x=-3:
(-3)²=9
(-3)(-3)=9
9=9
Hence, the statement doesn't work in the converse
The option "the statement is not reversible" is not the answer.
Hope this helps!
0.011 divided by 0.25
Answer:
0•044 is the correct answer
Answer:
0.044
Step-by-step explanation:
what is the gcf of 8 and 11?
To find the greatest common factor, line both numbers up and continue adding that specific number until you find two factors that correlate with both numbers.
With that being said, let's begin.
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88
Simply add 8.
11: 11, 22, 33, 44, 55, 66, 77, 88
Simply add 11.
The greatest common factor of 8 and 11 is 88.
Choose yes or no to tell if the digit in the tens place is 1/10 of the value of the digit in the hundreds place 54,450
Answer:
No
Step-by-step explanation:
54,450
Digit in tens place = 5
value = 50
54,450
Digit in hundreds place = 4
value = 400
1/10 value = 40
No the digit in the tens place is more than 1/10 the value of the digit in the hundreds place
50 is greater than 40
each ball has a diameter of 60mm
which has the smallest surface area?
How much would it cost to buy three medium sodas and two hotdogs
Answer:
depends how much they cost each
Ruth wants to purchase a new video game that costs $59.00 and several bags of chips that sell for $1.99 each. She can spend no more than $75.00. Which inequality and its solution represents her possible purchase?
Answer:
1.99c + 59 ≥ 75, where c ≥ 8.04
Step-by-step explanation:
The data points in the table show minutes on phone calls Identify the missing values in the table.
per day, x, and text messages sent per day, y. The least-
squares regression line for the data is j = 100 - 0.5x.
Use this table to answer the question.
A=
B=
C =
D =
Answer:
A= 5
B= 0
C= 50
D= -5
Step-by-step explanation:
Just did it on EDGE
PLEASE HELP ME AND NOT JUST ANSWER FOR POINTS!!!
can you answer number four please
Answer:
l = 104/3
w = 40/3
Step-by-step explanation:
l = 2*w + 8
P = 2(l + w) = 96
48 = l + w
2w + 8 + w = 48
3w = 40
w = 40/3
l = 2*40/3 + 8
= 80/3 + 8
= 80 + 24 / 3
= 104/3
Find the perimeter. Simplify your answer.
Answer:
3a+ 16
Hope this helps!
NEED HELP FAST WILL GIVE BRAINLIEST
Consider w = 4(cos(pi/2)+i sin(pi/2) and z=3(cos(3pi/2) +i sin(3pi/2)). What is w +z expressed in polar form?
A. Cos(0) + sin(0)
B. Cos(pi/2)+ isin (pi/2)
C. Cos(pi)+ isin (pi)
D. Cos(3pi/2) +isin (3pi/2)
Answer:
B. cos(pi/2) +i·sin(pi/2)
Step-by-step explanation:
You can convert to rectangular and back, or you can use the trig function relations directly.
w = 4·cis(π/2) = 4i
z = 3·cis(3π/2) = -3i
Then the sum is ...
w +z = 4i -3i = i = cis(π/2) . . . . matches choice B
__
An alternative representation of z is ...
z = -3·cis(π/2)
Then ...
w +z = 4·cis(π/2) -3·cis(π/2) = cis(π/2)
_____
Additional comment
In the above, we have used cis(α) to represent (cos(α) +i·sin(α)).
Measure these angles.
a)
b)
Find each indicated length if A is the midpoint of XZ and B is the midpoint of YZ (please help asap!!)
Answer:
Step-by-step explanation:
We have to think that the median and the side is parallel to are one small and one big, and that the small one is half of that big one and that the big one is the small one doubled.
AB = 8 ( the small one ) then XY = 2* 8 = 16 ( the big one)
AB = 3 then XY = 2* 3 = 6
AB = 2.5 then XY = 2*2.4 = 5
XY = 18 ( the big one) then AB = 18/2 = 9 ( the small one)
XY = 4 then AB = 2/2 = 2
XY = 9 then AB = 9/2 = 4.5
Gina Wilson all things algebra unit 4 homework 3 questions 12-15
Step-by-step explanation:
the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.
therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.
from there we get really all 4 answers.
the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.
12.
3x + 18 + 7x - 58 + 2x - 8 = 180
12x - 48 = 180
12x = 228
x = 19
angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees
angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees
angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees
13.
8x - 17 + 19x + 4 + 5x + 1 = 180
32x - 12 = 180
32x = 192
x = 6
angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees
angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees
angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees
14.
KL = 9x - 14
LM = 7x - 37
KM = 3x + 23
angle K = angle L
so, the sides LM and KM must be equally long. that gives us
7x - 37 = 3x + 23
4x = 60
x = 15
KL = 9x-14 = 9×15 - 14 = 135-14 = 121
LM = 7x-37 = 7×15 - 37 = 105-37 = 68
KM = 3x+23 = 3×15 + 23 = 45+23 = 68
15.
XY = 13x - 21
YZ = 8x - 6
XZ = x + 4
angle X = angle Z
so, the sides XY and ZY (or YZ) must be equally long. that gives us
13x - 21 = 8x - 6
5x = 15
x = 3
XY = 13x-21 = 13×3 - 21 = 39-21 = 18
YZ = 8x-6 = 8×3 - 6 = 24-6 = 18
XZ = x + 4 = 3+4 = 7
What is the value of x?
Answer:
x=23
Step-by-step explanation:
3x+4x+19=180 is the equation you would set up because the two angles added up would be 180 degrees.
:))
What is the value of x?
Answer:
x = 21
Step-by-step explanation:
The angles are supplementary
therefor
(3x + 2) + (5x + 10) = 180
Combine like terms
8x + 12 = 180
subtract 12 from both sides
8x = 168
Divide both sides by 8
x = 21
Answer:
x = 21
Step-by-step explanation:
The angle adjacent to 3x + 2 corresponds to 5x + 10 and are congruent.
The 2 adjacent angles then lie on a straight line and sum to 180° , then
5x + 10 + 3x + 2 = 180
8x + 12 = 180 ( subtract 12 from both sides )
8x = 168 ( divide both sides by 8 )
x = 21