Answer:
6 visits will it take for the costs to be the same
Step-by-step explanation:
The form of the linear relation is y = m x + b, where
m is the rate of changeb is the initial amountAssume that the number of visits is x, and the total cost is y
∵ Alice’s Athletic Arena requires members to pay $20 to join
→ That means there is an initial amount of $20
∴ b = 20
∵ The members must pay $1.50 for each time they come to work out
→ That means there is a cost for every visit (rate of change)
∴ m = 1.5 dollars/visit
∵ The number of visits = x
∵ The total cost is y
→ Form the linear equation for this situation
∴ y = 1.5x + 20 ⇒ (1)
∵ Roy’s Romper Room requires members to pay $5 to join
∴ b = 5
∵ The members must pay $4 for each time they come to work out
∴ m = 4 dollar/visit
→ Form the linear equation for this situation
∴ y = 4x + 5 ⇒ (2)
∵ The costs to both are the same
→ That means, equate the right sides of (1) and (2)
∴ 1.5x + 20 = 4x + 5
→ Subtract 20 from both sides
∴ 1.5x + 20 - 20 = 4x + 5 - 20
∴ 1.5x = 4x - 15
→ Subtract 4x from both sides
∵ 1.5x - 4x = 4x - 4x - 15
∴ -2.5x = -15
→ Divide both sides by -2.5
∴ x = 6
∴ 6 visits will it take for the costs to be the same
Help plssssssssssssssssss
Answer:
I believe is 3 4/6
Step-by-step explanation:
22/5 : 6/5
22/5 * 5/6
22/6
11/3
3 4/6
Answer:
11/3 or 3and2/3
Step-by-step explanation:
To change a mixed number into a fraction, you multiply the whole number by the denominator and add it to the numerator.
4 and 2/5 = 22/5
1 and 1/5 = 6/5
To divide fractions, flip one upside down and then multiply top by top, bottom by bottom
(22/5) / (6/5) = (22/5) x (5/6) = (22x5)/(5x6) = 110/20 = 11/3 or 3and2/3
You have a piggy bank with $4 in it. Every month you get an allowance and add $5 to the piggy bank. Which of the following equations represent the amount of money in the bank after "x" months?
write 2350 milliion in standard form
Answer:
2,350,000,000
Step-by-step explanation:
Answer:The number form of 2350 million is 2350000000. It can also be abbreviated as 2350M.
Step-by-step explanation:
What civilization did Buddhism begin in?
Answer:
Buddhism arose in the eastern part of Ancient India, in and around the ancient Kingdom of Magadha (now in Bihar, India), and is based on the teachings of Siddhārtha Gautama.
Alyson has 46 beads to make bracelets. Each bracelet has 5 beads.
How many more beads does Alyson need so that all the beads she has
are used?
Answer:
4
Step-by-step explanation:
46+4 = 50
50/5 = 10
What is the solution to the system shown below?
Find the measure of each angle.
19)
x
80°
A) -115°
C) -80°
B) -100°
D) -170°
Answer:
Step-by-step explanation:
- 100°
Steven earns extra money babysitting he charges $33 for 4 hours and $57.75 for 7 hours entering an equation to represent the relationship let x represent the number of hours Stephen babysits and let y represent the amount he charges the equation is y =
Answer:
y = 8.25x
Step-by-step explanation:
Linear Modeling
Some events can be modeled as linear functions. If a situation comes where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:
[tex]y=mx+b[/tex]
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Let's use linear modeling to represent Steven's earnings he makes babysitting. Call y the money he charges by x hours of work.
We know he charges y1=$33 for x1=4 hours, and y2=$57.75 for x2=7 hours. The ordered pairs are (4,33) and ( 7, 57.75)
Computing the equation of the line we have:
[tex]\displaystyle y-33=\frac{57.75-33}{7-4}(x-4)[/tex]
Operating:
[tex]\displaystyle y-33=\frac{24.75}{3}(x-4)[/tex]
[tex]y - 33 = 8.25( x - 4 )[/tex]
[tex]y = 8.25x - 33 + 33[/tex]
y = 8.25x
There is a proportional relationship.
5 • (- 10) x = 100 Esse número apagado foi
(A) 2
(B) 20
(C) -5
(D) -257*
An airplane travels 780 miles in 4 hours. Make a table and graph to show the mileage for 2,8, and 12 hours. Is there a direct variation? Explain.
PLS HELP ME ON THIS QUESTION!!
Answer:
Please check the explanation.
Step-by-step explanation:
As an airplane travels 780 miles in 4 hours.
We need to determine the table and graph to show the mileage for 2,8 and 12 hours.
as
The airplane covers the distance in 4 hours: 780 miles
so
The airplane covers miles in 1 hour will be: 780/4 = 195 miles
Hence, the table can be calculated as:
Hours Distance Mileage in Miles
[tex]2[/tex] [tex]2\times195\:=\:390[/tex] miles
[tex]8[/tex] [tex]8\times195 = 1560[/tex] miles
[tex]12[/tex] [tex]12\times195 = 2340[/tex] miles
It is clear from the table that it is a direct variation as the constant is 195 miles per hour.
Please check the attached graph. The graph clearly indicates a direct variation.
Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons. What is the correct portion to solve this problem?
Answer:
3/4=n/8
Step-by-step explanation:
An equation to represent the given scenario is 3/4 = n/8. Therefore, option A is the correct answer.
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, mix 3 liters of water with 4 lemons to make lemonade.
Let n be the number of liters of water mixed with 8 lemons.
So, an equation is 3/4 = n/8
3/1 = n/2
n=6
Therefore, option A is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Find the slope of a line that is perpendicular to the line
y = -1/8x +3
Answer:
The slope of a line that is perpendicular to the line
y = -1/8x +3 will be: 8
Step-by-step explanation:
Given the equation
y = -1/8x +3
comparing the equation with the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is -1/8.
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-1}{8}}=8[/tex] ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]
Therefore, the slope of a line that is perpendicular to the line
y = -1/8x +3 will be: 8
There are 38 students involved in planning the homecoming parade. Of these students,
15 are boys and 23 are girls. If three members are selected to lead the parade, find the
probability that all three are girls.
Answer:
60.5% chance
Step-by-step explanation:
it is 23/38, since there are 23 girls and 38 ppl in total
If three members are selected to lead the parade, 23/38 is the probability that all three are girls.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
The number of students involved in planning the homecoming parade are thirty eight 38.
Among these thirty eight students, there are fifteen number of boys 15 and Twenty three number of girls (23).
Given a condition that If three members are selected to lead the parade,
We need to find the probability of all three girls.
The number of students =P(B)=38
The number of girls=P(A)=23
The probability of all three girls is P(A)/P(B)
23/38
Hence 23/38 is the probability that all three are girls.
To learn more on probability click:
https://brainly.com/question/11234923
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A truck’s position relative to a car’s position is -60 feet. The car and the truck move in the same direction, but the car moves 5 feet per second faster for 8 seconds. What operations could be used to find the truck’s relative position after 8 seconds? Explain
Answer:
I think its false
Step-by-step explanation:
the car went 8 second faster
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
25 = 10 + w
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Plz mark as brainliest!!!
What does the X in the tall rectangle mean in math?
Answer:
What does the vertical rectangle with intersecting lines in the shape of an "x" mean? A rectangle which has an X inside means there is a Unicode character or emoji that is meant to show there, but your system doesn't support it.
Step-by-step explanation:
go to google
To make a long distance call, your phone company charges
$1.50 to make the connection, and an additional $0.10 for
every minute that you are on the line once connected.
A) Write an equation for the price of a long-distance call, p, in
terms of the length of the call in minutes, m
B) You lost your August bill, but you know how much you paid for
the month. Write a function that will help you determine the length
of the long-distance call based on the total cost of your bill.
Helpppppppppppppppppp
Answer:
43°
Step-by-step explanation:
1. You need to create an equation: 3c+64+5c+82=90°
(Why 90°?)- this is a right triangle as you can see the little square
2. Then combine like terms
8c+146=90°
3. Subtract 146 from both sides
4. 8c=-56
5. Then divide 8 from both sides
C= -7
6. Then plug in -7 in 3c+64 and solve!
7. The final answer is 43
Ariel has decided to survey a random sample of teenagers in her community about the community recreation center. There are 94 teenagers in her community. Which of the following sample sizes would best represent the preferences of all the teenagers in her community?
A. 13 teenagers
B. 32 teenagers
C. 9 teenagers
D. 26 teenagers
Answer:
26
Step-by-step explanation:
x² – 3x-7
x+2
Divide the following using synthetic division
Answer:
x-5+ [tex]\frac{3}{x+2}[/tex]
Step-by-step explanation:
If x+2 is a factor, -2 is a zero. So we can put -2 in the left-hand corner of your synthetic division, bring the coefficients down so you'll have a set up like this:
-2 | 1 -3 -7
____________
1. bring down the 1:
-2 | 1 -3 -7
____________
1
2. multiply that by -2 and enter the result underneath 3:
-2 | 1 -3 -7
-2
___________
1
a. then, add through:
-2 | 1 -3 -7
-2
___________
1 -5
3. Do the same for -5 (multiply by the zero -2), enter that underneath -7 and add through:
-2 | 1 -3 -7
-2 10
___________
1 -5 3
Now, reassign the coefficients to their x. Because we already factored out an x with the zero, the 1 is assigned to 'x' rather than back to '[tex]x^{2}[/tex]'. The '-5' will not have an x attached. '3' is your remainder and cannot be divided out any further, so it will be written as [tex]\frac{3}{x+2}[/tex]. Finally, just put them back together to get x-5+[tex]\frac{3}{x+2}[/tex].
Hope this helped!
Help me do not understand
Answer:
The slope is 4/60. Simplified is 1/15
Step-by-step explanation:
Rise over run :)
4. Lizette said this is correct. Is she right? Explain your answer to this question for
full credit! *
63 x 36
36 = 18
Your answer
Answer:
Please check the explanation!
Step-by-step explanation:
Given the expression what Lizzet said was correct
[tex]6^3\times \:\:3^6=18^8[/tex]
No, she is not right. Let me solve the expression
Let us solve the expression
[tex]6^3\times \:\:3^6[/tex]
[tex]=\left(3\times \:2\right)^3\times \:3^6[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\:\:\:\left(ab\right)^c=a^cb^c[/tex]
[tex]=3^3\times \:2^3\times \:3^6[/tex] ∵ [tex]\left(3\times \:2\right)^3=3^3\times \:2^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\:\:a^b\times \:\:a^c=a^{b+c}[/tex]
[tex]=2^3\times \:3^{3+6}[/tex] ∵ [tex]3^3\times \:3^6=\:3^{3+6}[/tex]
[tex]=2^3\times \:3^9[/tex]
Therefore, the correct expression will be:
[tex]6^3\times \:\:3^6=2^3\times \:\:3^9[/tex]
which can be further simplified such as:
[tex]6^3\times \:\:3^6=2^3\times \:\:3^9[/tex]
[tex]=8\times \:19683[/tex]
[tex]=157464[/tex]
Please help me ASAP!!!!!!!!!
What is the slope of the line shown below?
Answer:
[tex]m=-\frac{2}{3}[/tex]
Step-by-step explanation:
Taking any two points on the line to find the slope
(6, -3)(-6, 5)Let us find the slope between the two points we took from the line graph
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(6,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-6,\:5\right)[/tex]
[tex]m=\frac{5-\left(-3\right)}{-6-6}[/tex]
[tex]m=-\frac{2}{3}[/tex]
[tex] \frac{2}{4} + \frac{1}{3} [/tex]
I'm not sure how to do it
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{2}{4}+\frac{1}{3}\\Find a common denominator\\2*3=6\\4*3=12\\1*4=4\\3*4=12\\\frac{6}{12}+\frac{4}{12}\\6+4=10\\\frac{10}{12}=\frac{5}{6}[/tex]
Anyone know this question.
I need help quick.
Thanks.
1. Graph the equation y=-3/2x+1 2. Write the equation of the line in slope intercept form
Answer:
The equation is already in slope intercept form, -3/2 is the slope and 12 is the y intercept.
Is this a trick question?
Step-by-step explanation:
May I have brainliest please? :)
(8x − 5)(2x2 − 5x − 6)
Answer:
(-5x - 2)(8x - 5)
I hope this helps!
Show two different ways to factor −4x −28.
Step-by-step explanation:
-4x - 28 = -4(x + 7) or 4(-x - 7)
Topic: Algebraic factorization
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Branist will be rewarded.15% of 290 is what
Answer:
43.5
Step-by-step explanation:
Hope this helps! Consider Brainiest!
Answer:
43.5
Step-by-step explanation:
15%= 15/100
=0.15 × 290
= 43.5