Answer:
7200
Step-by-step explanation:
1,200 x 6 = 7200
Lin and Han's families provide money for their school lunch accounts.
• Han starts with $100 in his account. He spends $15 each week on lunches.
• Lin starts with $25 in her account and does not spend any of it. Her family adds $10 each
week to her account.
1. At the end of 4 weeks, who has more money in their account?
2. After how many weeks will Han and Lin have the same amount of money in their lunch
accounts?
Answer:
1. Lin
2. 3 weeks
Step-by-step explanation:
Lin has more money in his account, and after 3 weeks Han and Lin will have the same amount of money in their lunch accounts.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Han starts with $100 in his account. He spends $15 each week on lunches.
Lin starts with $25 in her account and does not spend any of it. Her family adds $10 each week to her account.
For hen:
x be the number of weeks
Total amount left = 100 - 15x
Plug x = 4
Total amount left = $40
For Lin:
y be the number of weeks.
Total amount = 25 + 10y
Plug y = 4
Total amount = 25+40 = $65
Lin has more money in his account.
To have the same amount:
100 - 15x = 25 + 10y
x = y
100 - 15x = 25 + 10x
x = 3 weeks
Thus, Lin has more money in his account, and after 3 weeks Han and Lin will have the same amount of money in their lunch accounts.
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what is the y-intercept of each function? f(x)=7(-x+3)
Answer:
21
Step-by-step explanation:
You have to distribute the 7 in this case:
f(x) = 7(-x + 3)
f(x) = -7x + 21
The y-intercept is the number without the x with it. So, with this function it is 21.
I hope this helps!!
- Kay :)
30 % =30/50 =0.30
IT MEANS 30 %
Answer:
0.30 does mean 30%
Step-by-step explanation:
A box contains 90 discs numbered from 2 to 90. If one disc is drawn at a random, find the probability that it bears a two digit number
Step-by-step explanation:
Let E be the event of drawing a disc from the box of discs numbered from 1 to 90
Two digit numbers from 1 to 90=10,11,12,.....,90
No. of favorable outcomes=81
Total no. of possible outcomes =90
We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=9081=109
Therefore, the probability of a two digit numbered disc from the box of discs numbered from 1 to 90=109
hope it helps !
Jamaal converted the following conic equation from general form to standard form.
amaal converted the following conic equation from general form to standard form.
4x2 + 4y2 – 16x + 24y – 12 = 0
4x2 – 16x + 4y2 + 24y = 12
4(x2 – 4x) + 4(y2 + 6y) = 12
4(x2 – 4x + 4) + 4(y2 + 6y + 9) = 12 + 4 + 9
4(x – 2)2 + 4(y + 3)2 = 25
Jamaal identifies the center of the circle as
(2, –3) and the radius as r = Five-halves.
What error, if any, did Jamaal make ?
Jamaal misidentified the center. The center should be at the point (–2, 3).
Jamaal did not complete the square correctly; he should have added 16 and 36 inside the parentheses in step 4. The radius is r = StartRoot 55 EndRoot.
Jamaal added 4 and 9 to the right hand side in step 4; he should have added 16 and 36. The radius is r = 8.
Jamaal did not make an error.
Answer: C. Jamaal added 4 and 9 to the right hand side in step 4; he should have added 16 and 36. The radius is r=8.
Step-by-step explanation: edge 2020, i took one for the team boys :(
In the given conic equation, Jamaal added 16 and 36 on the left hand side. However, he added 4 and 9 on the right hand side. The radius is r = 8.
What is a general conic equation?
Ax² + Bxy + Cy² + Dx + Ey + F = 0, where x, y are variables and A, B, C, D, E, F are constant terms.
Given,
4x² + 4y² – 16x + 24y – 12 = 0
⇒ 4x² – 16x + 4y² + 24y = 12
⇒ 4(x² – 4x) + 4(y² + 6y) = 12
⇒ 4(x² – 4x) + 16 + 4(y² + 6y) + 36 = 12 + 16 + 36
⇒ 4(x² – 4x + 4) + 4(y² + 6y + 9) = 12 + 16 + 36
⇒ 4(x – 2)² + 4(y + 3)² = 64
⇒ 4(x – 2)² + 4(y + 3)² = (8)²
Therefore, the center is at (2, -3) and the radius is r = 8.
Jamaal must have added 16 and 36 on the rest hand side of the conic equation. That's the mistake Jamaal did. As a result, the value of the radius is wrong when Jamaal solved.
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If 45% of a number is 99 and 35% of the same number is 77, find 80% of that number.
Answer:
176 = 80% Extra: If you need 100% its, 220
Step-by-step explanation:
99+ 77 is 176
45% + 35% = 80%
Which equation represents a proportional relationship?
y = 7x =3
y = 150x
y = 2x + 1
9514 1404 393
Answer:
y = 150x
Step-by-step explanation:
If the relationship is proportional, there is no added constant. The relation that is proportional is ...
y = 150x
True/False;
This table represents a linear function.
True
False
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
HELP PLEASE IM GIVING 50 POINTS PLEASE HELP I HAVE NOT MUCH TIME
Answer:
2.25 inches
Step-by-step explanation:
Number of books: 12
Height of stack: 27 inches
27 divided by 12 = 2.25 inches
Answer:
9/4
Step-by-step explanation:
27/12 = 9/4 inch
= 2,25 inch
A mountain climber records her altitude and the surrounding temperature at various points as she ascends a mountain. She then plots the points on a scatter plot and draws a line of best fit. The equation of the line is y=−3.6x+59 , where x is the altitude in thousands of feet and y is the temperature in degrees Fahrenheit (°F). What does the slope of the equation represent in this scenario?
Answer:
-3.6
Step-by-step explanation:
The general equation of a straight line formula is represented as y = mx + c, where m is the gradient or slope of the line and c is called the intercept on the y-axis.
The equation of the line in the question above is y= −3.6x + 59 ,
Therefore comparing both equations together,
y = mx + c = y = −3.6x + 59
m = -3.6
Therefore, the slope of the equation represent in this scenario is -3.6
Question in image :)
Answer:
A
x=> -6 is the inequality that represents the answer best.
Anybody know the answer to these
Percentages are always out of 80
Answer:
False, percentages are out of 100
Stephanie's school is selling tickets to a play. On the first day of ticket sales the school sold 4 adult tickets and 10 student tickets for a total of $150. The school took in $105 on the second day by selling 1 adult ticket and 10 student tickets. What is the price each of one adult ticket and one student ticket?
Answer:
The price of
1 adult ticket = $15
1 student ticket = $9
Step-by-step explanation:
Let
The price of adult tickets be represented by a
The price of student tickets be represented by s
Therefore:
On the first day of ticket sales the school sold 4 adult tickets and 10 student tickets for a total of $150.
4a + 10s = $150.... Equation 1
The school took in $105 on the second day by selling 1 adult ticket and 10 student tickets.
a + 10s = $105.... Equation 2
a = $105 - 10s
Therefore, we substitute : $105 - 10s = a in Equation 1
4a + 10s = $150.... Equation 1
4($105 - 10s) + 10s = $150
$420 - 40s + 10s = $150
Collect like terms
- 40s + 10s = $150 - $420
-30s = -$270
Divide both sides by -30
-30s/-30 = -$270/-30
s = $9
We find a
a = $105 - 10s
a = $105 - 10($9)
a = $105 - $90
a = $15
Therefore, the price of
1 adult ticket = $15
1 student ticket = $9
The savings account offering which of these APRs and compounding periods
offers the best APY?
A. 4.0784% compounded monthly
B. 4.0792% compounded quarterly
C. 4.0730% compounded daily
D. 4.0798% compounded semiannually
Answer:
The answer is "Option C"
Step-by-step explanation:
The using formula[tex]= (1+\frac{r}{n})^n -1[/tex]
→r = rate
→ n = compounded value
In choice a:
When compounded is monthly [tex]4.0784\%[/tex]
[tex]n = 12[/tex]
[tex]\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403[/tex]
In choice b:
When compounded is quarterly[tex]4.0792\%[/tex]
[tex]n = 3\\\\\to (1+ \frac{0.040792}{12} )^{3} = 1.0102-1 = .0102[/tex]
In choice c:
Whenn compounded is daily [tex]4.0730 \%[/tex]
[tex]n = 365\\\\\to (1+ \frac{0.040730}{12})^{365} = 3.328-1 = 2.328[/tex]
In choice d:
When compounded is semiannually[tex]4.0798\%[/tex]
[tex]n = 2\\\\\to (1+ \frac{0.040798}{12})^{2} = 1.0066-1 = 0.0066[/tex]
What is the answer?
Can someone help me please
Answer:
The first one!
Step-by-step explanation:
The sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side.
Answer:
The answer is C.
Step-by-step explanation:
Hope this helped have an amazing day!
A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag?
Answer:
6
Step-by-step explanation:
brainest plz
Help me plz grades are almost due
Answer:
D. 348 square units
Step-by-step explanation:
D. 348 square units
Answer 432: B
Step-by-step explanation: You have to multiply
9 times 6 times 8.
Find the range for the domain {-3, 1,4.5} f(x) = 2x
Answer:
Step-by-step explanation:
f(x) = 2x2
Range = {f(-3), f(1), f(4), f(5)} = {18, 2, 32, 50}
How many solutions does this system have?
A None
B 11
C 22
D Infinitely many
Answer:
A. None
General Formulas and Concepts:
Algebra I
Perpendicular Lines/Intersecting Lines have 1 solution.2 identical Lines have infinitely many solutions.Parallel Lines have no solution.Step-by-step explanation:
According to the graph, we see that we have 2 parallel lines. Therefore, there will be no solution.
There are 32 marbles to share equally among 8 children. How many marbles does each child get?
Answer:
each child get 4
Step-by-step explanation:
Answer:
4 marbles
Picture:
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What is the solution to the equation 3x+1-6x=72
Answer:
hope this helps
Step-by-step explanation:
Answer:
=−71/3
Step-by-step explanation:3
+
1
−
6
=
7
2
{\color{#c92786}{3x}}+1{\color{#c92786}{-6x}}=72
3x+1−6x=72
−
3
+
1
=
7
2
{\color{#c92786}{-3x}}+1=72
−3x+1=72
2
Subtract
1
1
1
from both sides of the equation
−
3
+
1
=
7
2
-3x+1=72
−3x+1=72
−
3
+
1
−
1
=
7
2
−
1
-3x+1{\color{#c92786}{-1}}=72{\color{#c92786}{-1}}
−3x+1−1=72−1
3
Simplify
Subtract the numbers
Subtract the numbers
−
3
=
7
1
-3x=71
−3x=71
4
Divide both sides of the equation by the same term
−
3
=
7
1
-3x=71
−3x=71
−
3
−
3
=
7
1
−
3
−3−3x=−371
5
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=−71/3
x=-\frac{71}{3}
x=−371
The Questions above.
Answer:
b
Step-by-step explanation:
2 difference
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11. After serious negotiating, you got 25%
discount on a pair of Kobe Sneakers. If the
original price of the sneakers was $140, what
is your new price?
12. Lupe got a 12% discount on a new phone.
What was the new price if the original price
was $890?
Tax and Tip problems.
13. A bicycle is on sale for $189.50. The sales tax
rate is 10.1%. What is the total price?
14. Japree bought 3 shirts for $18 each and a pair
of slacks for $45. The sales tax rate is 9.5%.
How much did he pay?
15. Jasmin with to the salon. The cost of her
haircut was $35. She tipped the hairdresser
15%. What was the total cost?
16. The Smith family went to dinner at
Moctezuma's. Mr. Smith ordered a meal for
$10.25, Mrs. Smith ordered a meal for
$15.85; the 2 children ordered identical
dishes for $7.50. They left a 20% tip. How
much was their total?
Answer:
11: $35
12. $106.8 (This one is the one I'm the most skeptical about)
13. $208.26
14. $109.42
15. $40.25
16. $43.32
Heya! This was a lot for one question, but I went through and attempted to solve them all. My answers could be well off, but I thought it would at least be worth a try. I hope this helps at least a little bit!
2. Here are some equations that are related to `x-0.1x+2.70=56.70`. Each equation is a result of performing one or more moves on that original equation. Each can also be interpreted in terms of Noah's purchase.
Question isn't complete so we assume you wish to solve the equation above
`x-0.1x+2.70=56.70
Answer:
Step-by-step explanation:
To solve this equation
x-0.1x+2.70=56.70
We first find like terms and then subtract both sides of the equation
x-0.1x+2.70=56.70= 1x-0.1x+2.70=56.70
Add like terms
0.9x+2.70=56.70
Subtract both sides of equation
0.9x=56.70-2.70
Divide both sides
0.9x=54
x=54/0.9
x= 60
Mrs. Gildner brought everyone that passed their Math test to Cold Stone Creamery for a treat. The cost for everyone to ice cream was $154.00. If she leaves a 15% tip, how much tip will she leave?
A. $130.90
B. $177.10
C. $139.00
D. $23.10
You invest $1,000 in a fund. You check your statement at the end of April and you have lost 13%. When the statement for May comes, you see you have gained 13% in May. What is the value of your account? Round to the nearest dollar.
Answer:
You still would have $1,000
Step-by-step explanation:
In April, you lost 13% of your fund. So we will subtract it.
In May, you gain 13% back. The rate of change was 0%.
Therefore, you still have $1,000 dollars.
Answer: The answer is that you have $983.
Step-by-step explanation:
Please help me on this
Answer:
First choice
Step-by-step explanation:
The school is located 0.5 miles east of Raoul's house. The library is located 1.2 miles south of the school. What is the distance between Raou
house and the library?
miles
Answer:
1.7 miles
Step-by-step explanation:
Pythagoras' Theorem sets the relation between three sides of a right-angled triangle. The distance between Raoul's home and the library is 1.3 miles.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|² = |AB|² + |BC|²
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
The school is located 0.5 miles east of Raoul's house. The library is located 1.2 miles south of the school. Therefore, the distance between the home and the library is the hypotenuse of the triangle formed.
AC² = AB² + BC²
AC² = 0.5² + 1.2²
AC = 1.3 miles
Hence, the distance between Raoul's home and the library is 1.3 miles.
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