Problem 1
x = number of weeks
y = amount left on gift card (in dollars)
He starts with $100. Then each week he spends $4.99 which means we subtract 4.99x from the 100 mentioned. We form the expression 100 - 4.99x which is the same as -4.99x + 100
The equation y = -4.99x + 100 is in slope intercept form with m = -4.99 as our slope and b = 100 as the y intercept.
Answer: y = -4.99x + 100=======================================================
Problem 2
The y intercept is 100 because it's the starting amount. Mark the point (0,100) on the graph.
We need one more point to form a straight line. Let's say we picked something like x = 4 to plug into the equation found earlier
y = -4.99x + 100
y = -4.99*4 + 100
y = -19.96 + 100
y = 80.04
After x = 4 weeks, Mark has y = 80.04 dollars left on the card. We'll plot the point (4, 80.04). Then we connect those points with a straight line.
Check out the diagram below.The location of (4, 80.04) can be visually marked as (4,80) since it's close enough in my opinion.
2x+7y=5
2x-7y=19
elimanation or substution
Answer:
(6, -1)
Step-by-step explanation:
4x = 24
x = 6
2(6) + 7y = 5
12 + 7y = 5
7y = -7
y = -1
Plz helpp
23% of the mix was cadmium. The total weight is 3000 grams. What is the weight of the other constituents?
Answer:
690
Step-by-step explanation:
23% of 3000 is 690 (love your username btw; 2️⃣ Set
please help this is a hard question and i just cant figure it out
Answer:
y=x+6.
Step-by-step explanation:
the slope-interception form is: y=s*x+i, where s - slope, i - interception.
according to the data in the graph i=6, s=1, then finally,
y=x+6.
find two positive numbers A and B with A less than or equal to B whose sum is 52 and whose product is mazimized
Answer:
26 and 26
Step-by-step explanation:
Let's call the two numbers x and 52-x.
Their product is [tex]p(x) = x(52-x)=52x-x^2[/tex]. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point [tex]x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26[/tex] The two numbers are, then 26 and 52-26=26.
The total length of 5 belts and 3 shoe laces is 4.2 m. The total length of 3 shoe laces is equal to the length of 2 belts
a) Find the length of a belt
b) Find the total length of 7 belts and 2 shoe laces
Answer:
a= 0.84m
b= 7m
i tried my best but im not sure of the answer
Step-by-step explanation:
5x+3y=4.2
2x=3y
x = 4.2-3y/5
2*(4.2-3y/5) = 3y
=1.68/3 = 0.56
y=0.56
2x = 3*0.56
x = 0.84
a) The length of one belt (b) is 0.6 meters, or 60 centimeters.
b) The total length of 7 belts and 2 shoe laces is: 5 meters.
Let the length of one belt be "b" meters, and the length of one shoe lace be "s" meters.
a) Find the length of a belt:
According to the given information, the total length of 5 belts and 3 shoe laces is 4.2 meters. We can express this information as an equation:
5b + 3s = 4.2
b) Find the total length of 7 belts and 2 shoe laces:
The total length of 3 shoe laces is equal to the length of 2 belts. We can express this information as another equation:
3s = 2b
Now, we can use these two equations to solve for the values of "b" and "s."
Step 1: Solve the second equation for "s":
3s = 2b
Divide both sides by 3:
s = (2/3)b
Step 2: Substitute the value of "s" from the second equation into the first equation:
5b + 3((2/3)b) = 4.2
5b + 2b = 4.2
7b = 4.2
Step 3: Solve for "b":
b = 4.2 / 7
b = 0.6
Now that we have the value of "b," we can find the value of "s" using the second equation:
s = (2/3)b
s = (2/3) * 0.6
s = 0.4
To know more about length:
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solve pls brainliest
Answer:
a) -5 meters
b)160°C
Step-by-step explanation:
Sarah is paid $20 an hour at her new job. She wishes to graph her total pay y, as a function of the
number of hours, x. She wants to be sure her graph shows her pay for 10 and 20 hours of work.
Answer:
see image; 200; 400
Step-by-step explanation:
y=20x
graph
Given: Circle A externally tangent to Circle B.
How many possible common tangents to circles A and B can exist?
2
3
4
there are only 2 possible common tangents to circles A and B can exist
ok done. Thank to me :>
Answer:
3
Step-by-step explanation:
please help me with mathhhh.
Answer:
B
Step-by-step explanation:
You can't multiply only one side of an equation by anything. That would make it unbalanced, and math is all about balancing equations.
What is the greatest integer that satisfies the inequality below?
Answer:
Step-by-step explanation:
- 2x > 17
x < 17 ÷ ( - 2 )
x < - 8.5
x ∈ ( - ∞ , - 8.5 )
The greatest integer that satisfies the inequality is ( - 9 )
3) Postcards: Marcie wants to make a box to hold her postcard collection from a piece of
cardboard that is 10 inches by 18 inches. The box will be formed by making cuts as shown in
the diagram and folding up the sides.
a) Write a function that models the volume of the box.
b) What are the dimensions of the box with the maximum volume? Round to the nearest tenth.
el
at
c) What is the maximum volume of the box?
The volume of the box is the amount of space in it.
The dimension of the postcard is:
[tex]\mathbf{Length = 10}[/tex]
[tex]\mathbf{Width = 18}[/tex]
Let x represents the length of the cut.
So, the dimension of the box is:
[tex]\mathbf{Length = 10 -2x}[/tex]
[tex]\mathbf{Width = 18 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
(a) The function that represents the volume of the box
This is calculated as:
[tex]\mathbf{V(x) = Length \times Width \times Height}[/tex]
So, we have:
[tex]\mathbf{V(x) = (10 - 2x) \times (18 - 2x) \times x}[/tex]
Expand
[tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
Hence, the volume function is: [tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
(b) The dimension that maximizes the volume
We have:
[tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
Differentiate
[tex]\mathbf{V'(x) = 180- 112x + 12x^2}[/tex]
Set to 0
[tex]\mathbf{180- 112x + 12x^2 = 0}[/tex]
Using a calculator, we have:
[tex]\mathbf{x = 7.3,2.1}[/tex]
The value x = 7.3 is greater than the dimension of the box.
So, we have:
[tex]\mathbf{x = 2.1}[/tex]
Recall that:
[tex]\mathbf{Length = 10 -2x}[/tex]
[tex]\mathbf{Width = 18 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
So, we have:
[tex]\mathbf{Length = 10 -2 \times 2.1 = 5.8}[/tex]
[tex]\mathbf{Width = 18 -2 \times 2.1 = 13.8}[/tex]
[tex]\mathbf{Height = 2.1}[/tex]
Hence, the dimension that maximizes the volume is 5.8 by 13.8 by 2.1
(c) The maximum volume
This is calculated as the product of the dimension of the box
So, we have:
[tex]\mathbf{Volume = 5.8 \times 13.8 \times 2.1}[/tex]
[tex]\mathbf{Volume = 168.1}[/tex]
Hence, the maximum volume of the box is 168.1 cubic inches
Read more about volumes at:
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Given the net of dimensions below find the volume of the shape
Answer:
140cm^3
Step-by-step explanation:
4*5*7 = 140
HELP ASAP. Dilation scale=2, center (5,4)
Graph the new points
Answer:
3.5
Step-by-step explanation:
A piano teacher has 4 1/2 hours available to teach each night. One lesson will last 3/4 of an hour. How many lessons can the teacher schedule each night?
Step-by-step explanation:
4 1/2 = 9/2
so, the calculation is simply how often 3/4 fits into 9/2.
and that is done by division :
9/2 / 3/4
and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.
so,
9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6
so, without any breaks the teacher can schedule 6 lessons each night.
hi i need the answer to this now plz
2 divided by 3
plz explain how you got answer like show work
can someone help me please
Answer:
3: 55 degrees
4: 128 degrees
Step-by-step explanation:
A straight line is 180 degrees and so you do 180-125 to get 55 degrees
180-58 is 128 degrees
a) Solve the system by substitution.
y = 5x – 3
-X – 5y = -11
Answer:
Step-by-step explanation:
the answer 4x-5y +2 = 0. 5y =-4x-2. y = -4x/5 -2/5 slope = -4/5
Answer:
{y,x} = {2,1}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 5x - 3
// Plug this in for variable y in equation [2]
[2] -5•(5x-3) - x = -11
[2] - 26x = -26
// Solve equation [2] for the variable x
[2] 26x = 26
[2] x = 1
// By now we know this much :
y = 5x-3
x = 1
// Use the x value to solve for y
y = 5(1)-3 = 2
(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.
Answer:
lllllllllllllll
Step-by-step explanation:
its is 15 large tables
$6.00 for 3 chocolate bars how many did he pay per bar
Answer:
$2.00
Step-by-step explanation
To solve this problem, divide $6 by 3 bars which is $2 a bar
Answer:
One bar= $2
Step-by-step explanation:
6 is the amount paid, 3 is the amount of bars he got. so to find the amount for one bar you divide, 6÷3= 2
Can someone help me with this please
Answer:
2vx
20ce
30a^2
30xw^2
42m^3n^2
24a^2c^2x^3
7n
8x
6wx
3ac^2
6wx^2
6a^2c
instead of writing ^2/^3 (which means to the power of 2/3), use symbol input which it tells you in the question
Plz Help!!! Fast!!
A statue is made of gold and silver in the ratio of 2:5. If the weight of the silver in the statue is 140 pounds, what is the weight of the gold?
Show all work!
Answer:
if the gold in this ratio is the 2 out of the 2:5 then the answer is 56 but if its the 5 then its 350
Step-by-step explanation:
The weight of gold is 56
Step-by-step explanation:
gold= 2
sliver = 5
weight of gold = x
weight of silver = 140
2/5 = x/140 solve for x
280=5x
x=280/5
x= 56
A mixture of paint calls for 1/3 cups of red paint and 1/2 cup of yellow paint. How many cups of red paint would be needed for every 1 cup of yellow paint?
Step-by-step explanation:
1 cup of yellow paint = 2×1/2 cup.
and that requires then also 2×1/3 Co red paint.
so, 1 cup of yellow paint mixes with 2/3 cups of red paint.
2 and 3 have a smallest common multiple (smallest number that is divisible by both numbers without remainder) of 6.
so, we need to get 6 units of each for a whole number ratio :
6×1/2 = 3 cups of yellow paint mix with 6×1/3 = 2 cups of red paint.
help me with this please! :)
Answer:
108 - 9y
Step-by-step explanation:
9(12 - y)
9(12) - 9(y)
108 - 9y
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
PLEASE HELP I need the answer please
17. <
18.=
19.>
20.>
21.3.021,3.12,3.121,3.21
22. 1.03,1.03,1.3,1.39
23.
15.
(05.04 MC)
Estimate and solve 4,298 ÷ 56 = ________. (1 point)
76 r 42
76 r 8
78 r 42
82 r 8 pls help asap!
Answer:
82 r 8
Step-by-step explanation:
i took the flvs test and its right!
help me brain pt Part 1
mike bought a 24 pack of mountain dew for $8.40. write and solve an equation to calculate how much each indivdual can soda cost
Answer:
$0.31
Step-by-step explanation:
You need to take the amount of money each pack costs and divide it by the number of cans to find the unit rate. Hope this helps!!
One theme in “Thank You, Ma’am” is that respectful treatment encourages mutual respect. Which passages from the story support this theme?
Select all that apply.
Thank You, Ma’am
He did not trust the woman not to trust him. And he did not want to be mistrusted now.
He did not trust the woman , not, to trust him. And he did not want to be mistrusted now.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
“Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink.
Answer:
Either B. 'The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him' or A. 'He did not trust the woman not to trust him. And he did not want to be mistrusted now.'.
Step-by-step explanation:
Brainliest Please!The passages from the story "Thank You, Ma'am" that support the theme that respectful treatment encourages mutual respect are: "The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him." "The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next." and "Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink." Correct options are 2, 3 and 4.
These passages highlight how the woman treats the boy, Roger, with kindness and respect despite his attempt to steal her purse. Her understanding and respectful treatment lead Roger to reflect on his actions and ultimately decide to follow her guidance. This illustrates how respectful treatment encourages mutual respect between the characters.
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Write numbers in the number grid to make it correct. 4 9 35
Write the standard form of the equation of the circle with a radius of 7 and center (2,-4).
(x+2)2+(y-4)2=49
(x-2)2+(y+4)2=49
(x+2)2+(y-4)2=7
(x-2)2+(y+4)2=7
( x - 2 )² + ( y + 4 )² = 49
.........................................