Answer:63
Step-by-step explanation:
Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?
Using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
Translate the situation into algebraic equations.
Let y = Total cost x = number of sessionsEquation for total cost of the first plan:
y = 41x + 55
Equation for the total cost of the second plan:
y = 46x + 50
To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.
41x + 55 = 46x + 50
Combine like terms together41x - 46x = - 55 + 50
-5x = -5
x = 1
For a session, both plans will yield the same cost.
The cost 1 session will yield for both:
41x + 55 = 46x + 50
Plug in the value of x41(1) + 55 = 46(1) + 50
96 = 96
Therefore, using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
Learn more about algebraic equations on:
https://brainly.com/question/10612698
How many solutions to a system does the graph below show?
This is not a graph of a system of equations. Infinite Solutions
One Solution
No Solutions
Answer: Check explanations
Step-by-step explanation: When lines are parallel, then there are infinite solutions (the answer), if they are intersecting there is only 1 solution, which is the point where the lines intersect, and if they aren't intersecting or parallel, then No solutions.
I NEED HELP WHAT IS 3 miles 440 yards + 6 miles 880 yards
(3 miles) + (440 yards) + (6 miles) + (880 yards)
= 9.75 miles
After adding all the given values in, the same unit will be equal to 9.75 miles.
What is Unit conversion?Multiplying or dividing by a numeric number, or more specifically, a correction factor, is a procedure comprising several steps known as conversion.
Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.
As per the given information in the question,
3 miles + 440 yards + 6 miles + 880 yards
Now, use unit conversion,
1 mile = 1760 yards
440 yards = 0.25 miles and,
880 yards = 0.50 miles
So, total distance is,
3 miles + 0.25 miles + 6 miles + 0.50 miles = 9.75 miles.
To know more about Unit conversion:
https://brainly.com/question/19420601
#SPJ2
What is the distance between 10 and 17 on the number line?
Find the difference:
17 - 10 = 7
So the distance between 10 and 17 is 7 on a number line.
i dont know how to do this stuff
im choosing brainliest
Answer:
5 - 15 = -10
Step-by-step explanation:
Answer:
5 - 15 = -10
Step-by-step explanation:
If you start with 5 and then subtract 15, you end up at -10.
PLEAZEEE HELP ME PLS WILL GIVE BRAINLIEST
Answer:
2q+7r+8
Step-by-step explanation:
(q+3)+(q+2)+(7r+3)
Brainliest is very apprieciated!
75% of 32 students are interested in Mathematics. How many are not interested in Mathematics ?
Answer:
The answer is 8!
Step-by-step explanation:
75% is 3/4 of 100 so you take 32÷4 and get 8, hope this helps:)
Alternative method:
Percentage of students who are interested in Mathematics = 75%Then, percentage of students who are not interested in Mathematics = (100 - 75)% = 25%Therefore, number of students who are not interested in Mathematics [tex] = 25\% \: \: of \: \: 32 \\ = \frac{25}{100} \times 32 \\ = \frac{1}{4} \times 32 \\ = 1 \times 8 \\ = 8[/tex]Answer:
8
Hope you could get an idea from here.
Doubt clarification - use comment section.
help with math asap!
ty in advance :)
Answer:
2.108*10^3
Step-by-step explanation:
What is the area of 30x40 rectangle in square units?? Will give BRAINLIEST if only correct!!!
Answer:
1200 units 30 times 40 is 1200
1200 sq units
hope this helps
Margie says the set of numbers, 0. 1, -1, -21 4 , 3, are in order from least to greatest. What is her error? She did not use the correct common denominator. The 3 is in the wrong place. She treated all the numbers as positive. The â€"1 should be the first number on the list.
Answer:
3 is in the wrong place
Step-by-step explanation:
:)
One of the errors made by Margie by saying the set of numbers 0, 1, -1, -21, 4, 3 is that the -21 should be the first number on the list.
The given set of numbers is:
0, 1, -1, -21, 4, 3.
Margie says that the set of numbers above is in order from least to greatest
Kindly note that:
The negative number with the highest magnitude is the lowest
The positive number with the highest magnitude is the highest
Arranging this number by carefully following the note above, the set of numbers above from the least to greatest is:
-21, -1, 0, 1, 3, 4
It is obvious that Margie made a mistake in arranging the numbers, and one of the mistake is that the -21 should be the first number on the list since it is the most negative
Learn more here: https://brainly.com/question/25874786
Someone please help me on both the questions!!!
Step-by-step explanation:
al nth term:
numerator:
[tex] = {n}^{2} [/tex]
denominator:
[tex] = n + 1[/tex]
so nth term :
[tex] = \frac{ {n}^{2} }{n + 1} [/tex]
b). 1; 11; 27; 49
first difference: 10; 16; 22
second difference :6
formula for 1st difference:3a+b
formula for 2nd difference:2a
Therefore:
2a=6
a=3
3a+b=10
sub in a
3(3)+b=10
9+b=10
b=1
sub into quadratic formula
[tex] {an}^{2} + bn + c[/tex]
[tex](3) {(1)}^{2} + (1)(1) + c = 1[/tex]
[tex]3(1) + 1 + c = 1[/tex]
[tex]3 + 1 + c = 1[/tex]
[tex]4 + c = 1[/tex]
[tex]c = - 3[/tex]
So Tn:
[tex]3 {n }^{2} + 1n - 3[/tex]
Step-by-step explanation:
a)
it is clearly a sequence of the square numbers over the numbers+1.
1/2 = 1²/(1+1)
4/3 = 2²/(2+1)
9/4 = 3²/(3+1)
16/5 = 4²/(4+1)
so, the nth term would be
n²/(n+1)
b)
an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)
since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :
n = 2
a×2² + b×2 + c = 11 = 4a + 2b + c
n = 3
a×3² + b×3 + c = 27 = 9a + 3b + c
n = 4
a×4² + b×4 + c = 49 = 16a + 4b + c
the first equation gives us
c = 11 - 4a - 2b
when we use this in the second equation, we get
27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11
b = 16 - 5a
now we use both of that in the third equation :
49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =
= 16a + 64 - 20a + 11 - 4a - 32 + 10a =
= 2a + 43
2a = 6
a = 3
b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1
c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3
9. The perimeter of the rectangle below is 65 inches.
2x
a. What is the value of x?
32x + 1
b. What are the dimensions of the rectangle?
65*2x=_________
32x+1=_________
x=65*2x=32x+1
`this is the solution `
There are 19 men and 31 women on an airplane. What is the ratio of the number of male passengers to the total number of passengers?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
19/50
Step-by-step explanation:
19 males and 50 people are in total
Answer:
19/50
Step-by-step explanation:
number of men=19
total passengers = 19+31=50
ratio of men to total people's = 19/50
Find the value of x.
X=
137°
(4x-17)
Answer:
x = 15°
Step-by-step explanation:
These angles form a linear
4x - 17 + 137° = 180°
4x - 17 = 43°
4x = 60°
x = 15°
Find the range and domain of the following set:
{(-5, -5), (-3, 4), (0, 1), (2, 5)}
Question options:
{(-5, -5), (-3, 4), (0, 1), (2, 5)}
{-5, 1, 4, 5}
{-5, -3, 0, 2}
{-5, 5}
Answer:
range: {-5, 1, 4, 5}domain: {-5, -3, 0, 2}Step-by-step explanation:
The range is the set of second numbers of the ordered pairs.
{-5, 1, 4, 5}
__
The domain is the set of first numbers of the ordered pairs.
{-5, -3, 0, 2}
__
Additional comment
It is generally convenient to write the elements of a set in sorted order.
What integer $x$ satisfies $\frac{1}{4}<\frac{x}{7}<\frac{1}{3}$?
If 1/4 < x/7 < 1/3, then
7/4 < x < 7/3
1.75 < x < 2.333…
so that x = 2.
Subtract and simplify your answer. 3/4 - 1/6
Answer:
7/12
Step-by-step explanation:
3/4 - 1/6
18/24 - 4/24 = 14/24
14/24 = 7/12
Answer:
[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}- \frac{1}{6}[/tex] ⇒ [tex]\frac{9}{12}- \frac{2}{12}[/tex]
[tex]=\frac{7}{12}[/tex]
Hope this helped! :)
After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.
Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
the right one. However, for every x he picks, the left side is always 3 more than the right side. What
value of b did Lois give Clark?
The value of b that Lois give Clark will be -7
Given the expression 2x + 7 - x = 4x + 2b – 3x - 3b.First, we need to find the value of b from the expression.Rearrange;
2x + 7 - x = 4x + 2b – 3x - 3b.
x + 7 = x + 2b - 3b
2b - 3b = 7
-b = 7
b = -7
Substitute b = -7 into the expression and find the value of x;
2x + 7 - x = 4x + 2(-7) – 3x - 3(-7)
x + 7 = 4x - 3x - 14 + 21
x + 7 = x + 7
Since for every x he picks, the left side is always 3 more than the right side, the equation becomes;
x + 7 = x + 3x + 7
x + 7 = 4x + 7
x - 4x = 0
-3x = 0
x = 0
Hence the value of b that Lois give Clark will be -7
Learn more on equations here: https://brainly.com/question/16450098
Morgan says that the absolute value of -8 is greater than the absolute value of 7. Do you agree with Morgan? Explain.
Answer:
Yes I agree with Morgan
Step-by-step explanation:
The absolute value of a number is its positive distance from 0. Therefore, -8 is 8 units away from 0 while 7 is 7 units away from 0. Since 8>7, then Morgan is correct in his statement.
a number card numbered from 1 to 30 is drawn randomly.what is the probability of getting the card having the number which is the multiple of 5 or 6
===================================================
Explanation:
A = multiples of 5 between 1 and 30
A = {5,10,15,20,25,30}
B = multiples of 6 between 1 and 30
B = {6,12,18,24,30}
There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}
The probability we want is 10/30 = 1/3
Repost* Can someone plz help? :(
Answer:
2.5
Step-by-step explanation:
4*2.5= 10
8* 2.5=20
how i got 2.5 is by doing 10 divided by 4
Answer:
2.5
4*2.5= 10
8* 2.5=20
how i got 2.5 is by doing 10 divided by 4
Step-by-step explanation:
What word phrase can you use to represent 5x+2
Answer:
five times a number plus two.
Question 1 (1 point)
What property is shown?
-d + (-e +(-f)) = (-d + (-e)) + (-f)
A:opposite of a sum
B:distributive
C:commutative
D:associative
31. What are the perimeter and area
of AXYZ?
Х
5
W
Y
m
12
12
9
greater than
and less than
Z
=
A P= 28; A = 540
B P=42; A = 84
© P= 50; A = 216
DP= 54; A = 57
Answer:
tbh idek bc the pen pen duck duck duck goose I don't know I'm doing this for the beginning part
How much will the taxi driver earn if he takes one passenger 4.8 miles in another passenger 7.3 miles explain your process
Answer:
12.1x+t
Step-by-step explanation:
since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving
Find the odds for and the odds against the event rolling a fair die and getting a 2, a 3, or a 5.
Answer:
The odds for are 50% and the odds against are 50%.
Step-by-step explanation:
On a die, there is 6 possibilities 2, 3, and 5, are 3 of them.
This means there is a 3/6 chance that it will land on one of those numbers, and there is also a 3/6 chance it will land on 1, 4, or 6.
3/6 is equivalent to 50% and 1/2.
Jemma and Debra work as consultants.
They both get hired for a job. Jemma
charges a fee of $15 plus an additional
$22 per hour. Debra charges $20 per
hour. Write an expression that
represents how much money their
employer will have to pay both of them
after x amount of hours.
Answer:
22x+15=20x
Step-by-step explanation:
Jemma requires 22 dollars per hour, plus a 15 dollar original fee. Debra requires a 20 dollar fee per hour.
Answer:22x+15=20x
Step-by-step explanation:
What is an equation of the line that passes through the points (3,4) and (-4, -3)?
Answer:
y=x+1
Step-by-step explanation:
1) Find the slope
m=-3-4/-4-3
m=-7/-7
m=1
2) Use y=mx+c
by using the point (3,4)
4=1(3)+c
4=3+c
c=1
3) The answer
y=x+1
please help me with math
Hi there! :)
5-2b when b=-1; 3.
5-2(-1)
5+2
7
5-2(3)
5-6
-1
3(x+8)
3x+24
Hope it helps!
~Answer given by
An Unknown Dreamer
Good luck.
Are two similar triangles necessarily congruent? Why?
if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle