Answer:
Gradient: 9
Y-intercept: -2
Step-by-step explanation:
The equation of a line is expressed in this format:
y = mx + c
Where m is the gradient (slope) of the line, and c is the y intercept.
The equation in the question is already in this format, meaning the values can be read directly from it without needing any rearranging.
m = 9, c = -2.
As Lucia fills her fish tank, she notices that it fills 8 cubic centimeters of water in 4 minutes.
How many cubic centimeters of water does it fill in 1 minute?
The cost of 12 oranges and 7 apples is $5.36. 8 oranges and 5 apples cost is $3.68. Find the cost of each.
Answer:
oranges €0·2б apples€0·32
Step-by-step explanation:
Answer:
apple $0.32 , orange $0.26
Step-by-step explanation:
let o and a represent the cost of an orange and apple, respectively , then
12o + 7a = 5.36 → (1)
8o + 5a = 3.68 → (2)
multiplying (1) by 8 and (2) by - 12 and adding will eliminate o
96o + 56a = 42.88 → (3)
- 96o - 60a = - 44.16 → (4)
add (3) and (4) term by term to eliminate o
0 - 4a = - 1.28
- 4a = - 1.28 ( divide both sides by - 4 )
a = 0.32
substitute a = 0.32 into either of the 2 equations and solve for o
substituting into (1)
12o + 7(0.32) = 5.36
12o + 2.24 = 5.36 ( subtract 2.24 from both sides )
12o = 3.12 ( divide both sides by 12 )
o = 0.26
the cost of an apple is $0.32 and the cost of an orange is $0.26
The annual tuition at a specific college was $20,500 in 2000, and $45,4120
in 2018. Let x be the year since 2000, and y be the tuition. Write an
equation that can be used to find the tuition y for x years after 2000. Use
your equation to estimate the tuition at this college in 2020.
y = 20500 + 24090(x - 1) can be used to find the tuition y for x years after 2000. The tuition at this college in 2020 was $5,02,300.
We assume that the rate of increase in the cost of tuition fee per year is linear and hence the tuition fees of subsequent years will be in an Arithmetic Progression. The formula for determining the nth term of an arithmetic sequence which is expressed as-
Tn = a + (n - 1)d
Where
a = first term of the sequence.
d = common difference.
n = number of terms in the sequence.
According to the question,
a = $20500 (amount in 2000)
From 2000 to 2018, the number of terms is 19, hence,
n = 19
Thus, T19 = 454120
Therefore,
4,54,120 = 20500 + (19 - 1)d
454120 - 20500 = 18d
18d = 433620
d = 433620/18
d = 24,090
Therefore, the equation that can be used to find the tuition y for x years after 2000, is as follows-
y = 20500 + 24090(x - 1)
Now, the number of terms between 2000 and 2020 is 21, hence
x = 21
y = 20500 + 24090(21 - 1)
y = 20500 + 481800
y = $502300
Therefore, the tuition at this college in 2020 was $5,02,300.
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- 8x9
8x (3+6)
(8 x) + (8 x.
8x9=
Answer:
72
Step-by-step explanation:
(x+12)+(4x-16)=6x-13
x+12+4x-16=6x-13
x+4x+12-16=6x-13
5x+12-16=6x-13 When there is a x and no number do you assume it is a 1?
5x-4=6x-13 Why did the + disappear? Was it for the (-4)
5x-4+4=6x-13+4 How do you know the 4 is supposed to be added and not subtract?
5x=6x-9 If its 13+4 why was the 4 subtracted?
5x-6x=6x-9-6x Why was the 6 subtracted and not the 9? How do you know which
one it is supposed to be?
-x=-9 Why did the -6x effect the 6x and not the 9?
-x/-1=-9/-1 How do you know you are supposed to divide with -1? Not another number? and not a positive?
x=9
The value of the variable x in the expression is 9.
How to solve for a variable in an expression?The mathematical expression is as follows:
(x+12) + (4x-16) = 6x-13
Therefore, let's open the brackets
(x+12) + (4x-16) = 6x - 13
x + 12 + 4x - 16 = 6x - 13
Combine the like terms
x + 12 + 4x - 16 = 6x - 13
x + 4x + 12 - 16 = 6x - 13
Do the arithmetic of the like terms on both sides
x + 4x + 12 - 16 = 6x - 13
5x - 4 = 6x - 13
Add 4 to both sides
5x - 4 = 6x - 13
5x - 4 + 4 = 6x - 13 + 4
5x = 6x - 9
subtract 6x from both sides
5x = 6x - 9
5x - 6x = 6x - 6x - 9
-x = -9
divide both sides by -1
Therefore,
x = 9
The value of the variable x in the expression is 9.
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Describe the transformation from the graph off to the graph of g. PLEASE HELP!
Answer: x=-3
Step-by-step explanation: Linear function of -3. This is because you subtract by 3 from f to g each time.
: A man whose wait was 90 pounds on weight scale on Earth was noticed to be 15 pounds only on the moon. Keeping this scientific fact in mind write the equations of proportionality between weight of a man on Earth and on moon. (Note: Y = weight on Earth, X = weight on moon)
Answer:
because the gravitational streanghts is much weaker on the moon
Rewrite without parentheses and simplify.
(u+6)²
Ú
Answer:
u² + 36 + 12uStep-by-step explanation:
(u + 6)² =
u² + 36 + 12u
Answer:
[tex]u^2+12u+36[/tex]
Step-by-step explanation:
[tex]\begin{aligned}& \textsf{Given}: & & (u+6)^2 \\\\& \textsf{Expand the square}: & & (u+6)(u+6)\\\\& \textsf{Distribute}: & & u(u+6)+6(u+6)\\\\& \textsf{Distribute}: & & u^2+6u+6u+36\\\\& \textsf{Combine like terms}: \quad & &u^2+12u+36\end{aligned}[/tex]
15 x 3 x 3 =
and i need to show work
Step-by-step explanation:
15×3×3=135
hope it helps you
The area of a triangular pendant on a necklace is 3/4 square inch. The height of the
triangle is 1 1/4 inches. What is the length of the base of the triangle?
The length of the base of the triangle is 1 1/5 inches
What are areas?The area of a shape is the amount of space on the shape
How to determine the length of the base of the triangle?The given parameters are
Area = 3/4 square inches
Height = 1 1/4 inches
The length of the base of the triangle is calculated as
Base = 2 * Area/Height
Substitute the known values in the above equation
This gives
Base = 2 * (3/4)/(1 1/4)
Evaluate
Base = 1 1/5
Hence, the length of the base of the triangle is 1 1/5 inches
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My friend iis bumped and so am I. Question : graph the function described by the equation y = 2x − 2.
the graph of the equation y = 2 x - 2 is being obtained.
We are given the equation:
y = 2 x - 2
We need to make the graph of the equation.
We will first find some points on this equation:
x y
0 -2
1 0
2 2
3 4
4 6
5 8
Now, we will plot these points on the graph and join them with a dark line to obtain the graph of the equation y = 2 x - 2.
Therefore, the graph of the equation y = 2 x - 2 is being obtained.
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find the circomference of the circle.
Answer:
d=23in
circumference= πd
= 23×3.14
=72.22 probably
A box turtle Marcos found is 0.115 of a meter long. What is this length in expanded form?
If a box turtle Marcos found is 0.115m long, then the length in expanded form is (0.1 + 0.01 + 0.005).
As per the question statement, a box turtle Marcos found is 0.115m long.
We are required to find out the expanded form of the length.
To solve this question, we need to know the procedure to convert a decimal into a fraction:
First, we will have to eliminate the decimal point and then, consider the digits in the same order as a complete number which will be our numerator. Secondly, we will use (10ⁿ) as our denominator where "n" is the number of digits on the right side of the decimal point in the original decimal number. Thus, 0.115 can be written as [tex]\frac{115}{1000}[/tex], since there are three digits after decimal point.
Now [tex]\frac{115}{1000}[/tex] can be written in the following manner as shown below.
[tex]\frac{115}{1000}=\frac{100+10+5}{1000}\\ or, \frac{115}{1000}=\frac{100}{1000}+\frac{10}{1000}+\frac{5}{1000}\\ or, \frac{115}{1000}=\frac{1}{10}+\frac{1}{100}+\frac{5}{1000}\\ or, \frac{115}{1000}=0.1+0.01+0.005[/tex]
Therefore, 0.115 can be written as (0.1 + 0.01 + 0.005) in its expanded form.
Expanded Form (of a number or decimal): This is a format of writing a number as a summation of its individual digits multiplied by their place values.
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1.
Tank A has a length, in feet, represented by 25x + 12 and a width, in feet, represented by 7x + 18. Write and simplify an expression used to determine the total amount of rubber stripping, in feet, needed for both rectangular tanks.
The value of the total amount of rubber stripping, in feet, needed for the rectangular tanks is 64x + 70.
How to calculate the perimeter?It should be noted that the perimeter of a rectangle is given as:
= 2(Length + Width)
= 2(25x + 12) + 2(7x + 18)
= 50x + 24 + 14x + 46
= 64x + 70
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Calculate the mean 24,27,31,21,27
Answer:
26
Step-by-step explanation:
add all the numbers up 24+27+31+21+27=130
divide 130/5=26
Answer:
26
Step-by-step explanation:
Means is the same as finding the average in a data set. You add up all of the values and then divide that by the number of terms you have in the data set.
24 + 27 + 31 + 21 + 27 = 130
130 ÷ 5 = 26
You have enough wallpaper to cover 500 square feet. If your walls are 5 feet high, what wall
length can your paper?
Answer:
the answer would be 100
Step-by-step explanation:
500÷5= 100
Answer: 100
Step-by-step explanation:
[tex]50 divided 500=100[/tex]
Solve for x
5x³-15x²-90x=0
Answer:x=0,6,−3
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero
Is 1 an unequal number
Answer:
Step-by-step explanation:
i 1=i i+i = 1 paulit ulit lg pag dalawa ung term i po sagot jan
What is perpendicular to x=0
Answer:
y=0
Step-by-step explanation:
The y-axis(x=0) and x-axis(y=0) are perpendicular.
g less than the quotient of 7 and 8
Answer:
"g - (7 • 8)" is correct. :)
1. Which of the following is a solution to the equation y = 3x - 1?
O (4,1)
0 (2,5)
O (4,3)
0 (0, -3)
Answer:
(2,5)
Step-by-step explanation:
i don't know how i did the solvings so sorry but if it is not correct please let me know
Use π = 22/7 to find the circumference and area of the following circle. r = 2 1/2 cm C = ____ A = ______
Answer:
c=12.57
Step-by-step explanation:
beacuse of the radius
Add 3/8+ 1/12 by using the LCM as the common denominator.What is the LCM of 8 and 12?
Enter your answer in the box.
Answer: 24
Step-by-step explanation: LCM(8, 12) = 24
12 x 2 = 24
8 x 3 = 24
Top and bottom needed
The length of the arcs are as follows
L = 1.94 pi cmL = 0.55 pi cmL = 2.50 pi cmL = 5.0 pi cmL = 4.44 pi cmL = 5.0 pi cmL = 4.88 pi cmGiven data
<BAC = 90 degrees
<BEA = 70 degrees
<DEA = 180 degrees
BE = radius = 5 cm
How to determine length of arcstop
Length of arc = ( ∅ / 360 ) * 2 * pi * r
1. length of arc AB
L = ( ∅ / 360 ) * 2 * pi * r
L = ( 70 / 360 ) * 2 * pi * 5
L = 1.94 pi cm
2. length of arc CD
L = ( ∅ / 360 ) * 2 * pi * r
∅ = 180 - 90 - 70 = 20
L = ( 20 / 360 ) * 2 * pi * 5
L = 0.55 pi cm
3. length of arc CB
L = ( ∅ / 360 ) * 2 * pi * r
L = ( 90 / 360 ) * 2 * pi * 5
L = 2.50 pi cm
4. length of arc CAD
∅ = 90 + 70 + 20 = 180
L = ( ∅ / 360 ) * 2 * pi * r
L = ( 180 / 360 ) * 2 * pi * 5
L = 5.0 pi cm
5. length of arc BCA
∅ = 90 + 70 =
L = ( ∅ / 360 ) * 2 * pi * r
L = ( 160 / 360 ) * 2 * pi * 5
L = 4.44 pi cm
6. length of arc DA
∅ = 180
L = ( ∅ / 360 ) * 2 * pi * r
L = ( 180 / 360 ) * 2 * pi * 5
L = 5.0 pi cm
Bottom
7. length of arc from off to volume 7
∅ = 110
r = 8
L = ( ∅ / 360 ) * 2 * pi * r
L = ( 110 / 360 ) * 2 * pi * 8
L = 4.88 pi cm
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A can of soup is composed of 40% solids and 60% water. If a can of soup is mixed with two cans of water, what percentage of the mixture is water?
Assuming that a can of soup which has 60% water is mixed with two cans of water, the percentage mixture that is water is 87%.
What percentage is water?Assuming the total quantity of a can is 100 ml, the quantity of water in the can of soup would be:
= 60% x 100
= 60 ml
If two more cans of water are added, the total amount of water is:
= 60 + 100 + 100
= 260 ml
The percentage of water is:
= 260 / (100 + 100 + 100)
= 87%
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-2x-y+10-x+7y-5 simplified please show steps
Answer:
-3x+6y+5
Step-by-step explanation:
The equation- -2x-y+10-x+7y-5
Next, combine all the x, y, and real numbers.
X's: (-2x)+(-x)= -3x
Y's: (-y)+(7y)=6y
Real Numbers: (10)+(-5)=5
insert back into an equation
-3x+6y+5
:-) hope this helps
Is 87 3 times as many as 29?
Answer:
Yes
Step-by-step explanation:
29 times 3 is 87
Hope It Helps
Sorry If I'm Wrong
5) Compare and Contrast. Which of the following jobs would be better? A job that
pays $13 a hour, or a salaried position that is paying $25,000. Explain your thinking.
Answer:
The job with a salaried position that is paying $25,000
Step-by-step explanation:
The 2nd option would be better because $13 an hour wouldn't be as much if you time it by one day. For example 13x24=$312 for just one day. But if it was more than one day, option 1 would be the best choice.
If you multiply two decimals that ares less then 1 can you predict whether the product will be less than or greater than either of the factors Explain.
Assume that each circle shown below represents one unit. Express the shaded amount as a single fraction and as a mixed number.
Answer: One fraction: 5/4. Mixed Number:
Step-by-step explanation: One fraction: you need to count the number of green squares on the top, and on the bottom you need to count how many are you each square.