Answer:
15x+100(3) ≥ $1500
x ≥ 80 pages
Step-by-step explanation:
Let x represent the number of pages.
Manuel receives $15 per page = 15x
Plus $100 per month. Manuel would like to work for 3 months = 15x+100(3)
He wants to make at least $1500 during the summer
Thus the inequality we get is:
15x+100(3) ≥ $1500
Now solve the equation to find minimum number of pages:
15x+300 ≥ $1500
Combine the like terms:
15x ≥ 1500-300
15x ≥ $1200
Divide both sides by 15
15x ≥ $1200/15
x ≥ 80 pages
The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.
The answer is f(x)=5(x+8)-80f ( x ) = 5 ( x + 8 ) − 80
Find x and y in the figures below
Answer:
There are no figures below...
Step-by-step explanation:
Norma's credit card has an APR of 16%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. Her credit card record for the last 7 months is shown in the table
below.
Norma's credit card balance at the end of the 7th month is $1,487.22.
How to solveCalculate the interest for each month.
Interest = (Previous month's balance * APR) / 12
Calculate the new balance for each month.
New balance = Previous month's balance + Purchases + Interest - Payments
Here's the calculation for each month:
Month 1:
Interest: 0 (No interest on the first month)
Balance: $500 + $0 = $500
Month 2:
Interest: ($500 * 0.16) / 12 = $6.67
Balance: $500 + $200 + $6.67 - $10 = $696.67
Month 3:
Interest: ($696.67 * 0.16) / 12 = $9.29
Balance: $696.67 + $300 + $9.29 - $20 = $986.29
Month 4:
Interest: ($986.29 * 0.16) / 12 = $13.15
Balance: $986.29 + $100 + $13.15 - $20 = $1079.44
Month 5:
Interest: ($1079.44 * 0.16) / 12 = $14.39
Balance: $1079.44 + $150 + $14.39 - $10 = $1233.83
Month 6:
Interest: ($1233.83 * 0.16) / 12 = $16.45
Balance: $1233.83 + $0 + $16.45 - $15 = $1235.28
Month 7:
Interest: ($1235.28 * 0.16) / 12 = $16.47
After all the computations, taking into consideration the amount spent and paid earlier,
Norma's credit card balance at the end of the 7th month has amounted to $1,487.22.
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Norma's credit card has an APR of 16%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the month after the first purchase. Her credit card record for the last 7 months is shown in the table below.
Month Purchases Payments
1 $500 $0
2 $200 $10
3 $300 $20
4 $100 $20
5 $150 $10
6 $0 $15
7 $250 $15
Calculate Norma's credit card balance at the end of the 7th month.
Answer: 389.46
Step-by-step explanation:
Add all payments received.
trust
The expression above can also be written in the form of
Answer:
a= 7
b=9
c=4
Step-by-step explanation:
Answer:
a= 7
b=9
c=4
Step-by-step explanation:
lol
x + (-y)= -y + x
What’s the property
hm
Step-by-step explanation:
I'd go with associative because its re grouping
Answer:
Step-by-step explanation:
the property is : a+b= b+a comutative for +
What is the image point of (-6, -9) after translation left 1 unit and down 5 units?
The original point (-6, -9) is shifted 1 unit to the left and 5 units down to reach the new position (-7, -14).
To find the image point after translating the point (-6, -9) left 1 unit and down 5 units, we subtract the translation values from the coordinates of the original point.
For the horizontal translation (left 1 unit), we subtract 1 from the x-coordinate:
New x-coordinate = -6 - 1 = -7
For the vertical translation (down 5 units), we subtract 5 from the y-coordinate:
New y-coordinate = -9 - 5 = -14
Therefore, the image point after the translation is (-7, -14).
This means that the original point (-6, -9) is shifted 1 unit to the left and 5 units down to reach the new position (-7, -14).
This translation is a geometric operation commonly used in mathematics and computer graphics to move objects or points in a coordinate plane.
Write the equation in slope intercept form.
[tex]\bf y+2=\cfrac{1}{3}(x-6)\implies y+2=\cfrac{1}{3}x-2 \\\\\\ y=\cfrac{1}{3}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Answer:
[tex]y = \frac{1}{3} x - 4[/tex]
Step-by-step explanation:
Given equation :-
[tex]y + 2 = \frac{1}{3} (x - 6)[/tex]
• Slope intercept form is
y = mx + c
where , m is slope of the straight line
and c is y intercept of the line !
Solving and simplifying the given equation ,
[tex]3y + 6 = x - 6 \\ \\ 3y = x - 6 - 6 \\ \\ 3y = x - 12[/tex]
[tex]y = \frac{1}{3} x - \frac{12}{3 } \\ \\ y = \frac{1}{3} x - 4[/tex]
So, m = 1/3 and c = ( -4 )
hence , the required slope intercept form of the equation is
[tex]y = \frac{1}{3} x - 4[/tex]
The product of 9 and x is less than or equal to -17
Answer:
9+x< -17
(make sure there's a line under the less than sign to make it work to)
Step-by-step explanation:
the product of 9 and x describes an addition problem, so it would be 9+x. after you put the less then or equal to sign and then -17.
Hope this helps
To solve the inequality 9x ≤ -17, divide both sides by 9 to find x ≤ -17/9, meaning x can be any value less than or equal to approximately -1.888.
The student's question pertains to an inequality in mathematics involving a variable x and requires an understanding of algebraic inequalities. To solve the inequality 9x ≤ -17, we need to isolate the variable x. We can do this by dividing both sides of the inequality by 9, which gives us x ≤ -17/9. It is important to note that dividing by a positive number does not change the direction of the inequality sign.
The value of x must satisfy this inequality, so any number less than or equal to -17/9 is a solution to the inequality. That means x could be -2, -3, or any other value that is less than or equal to approximately -1.888... (since -17/9 is a decimal approximation of -1.888...).
How do you solve number eight?
44 + 37 + x = 180
x + 81 = 180
x = 180 - 81
x = 99
n + 99 = 180
n = 180 - 99
n = 81
I’d like for you to Show work please:)
What is the slope of (5,3) and (5,-9)
The slope is the change in Y over the change in X.
A point is written as ( X,Y), where the first number is the X and the second number is the Y.
You have:
(5,3) and (5,-9)
The change in Y is -9 - 3 = -12
The change in X is 5-5 = 0
The slope becomes -12/0
Because you have a 0 on the bottom of the fraction the slope is undefined because you cannot divide by 0.
The slope is undefined.
|-17|= how do you do this
Answer:
17
Step-by-step explanation:
anything in absolute value brackets is going to be positive. Absolute value is the distance of that specific number on the number line from 0. so ex: -3 is 3 units away from 0 so therefore, the answer is 3.
What is the surface area of a sphere with a radius of 9 units?
The surface area of a sphere with a radius of 9 units is given by the formula 4 (pi) (r)2, resulting in an area of 324 (pi) square units, or approximately 1017.88 square units when using 3.14159 for (pi).
Calculating the Surface Area of a Sphere
To find the surface area of a sphere, you will need to use the formula: surface area = 4 (pi) (r)2, where r is the radius of the sphere. For a sphere with a radius of 9 units, you would calculate the surface area as follows:
Surface Area = 4 (pi) (92)
Surface Area = 4 (pi) (81)
Surface Area = 324 (pi)
So, the surface area of the sphere is 324 (pi) square units. If you use the approximate value of (pi) = 3.14159, then the surface area would approximately be 1017.88 square units.
a cone has a radius of 5 m and a height of 3 m.What is the volume of the cone?
Answer:
78.54 [tex]m^3[/tex]
Step-by-step explanation:
Use the formula for the volume of a cone of circular base with radius "R" and height "H", using the given values for the radius R (5 meters), and the cone's height (3 meters)
[tex]Volume= \pi R^2 \frac{H}{3} \\Volume = \pi 5^2 \frac{3}{3} m^3 = 78.539816.... m^3[/tex]
And we round the answer to two decimals:
Volume = 78.54 [tex]m^3[/tex]
the sum of 21and 4 doubled
Answer:
50
Step-by-step explanation:
21 + 4 = 25
25 × 2 = 50
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Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select three options. y = –Two-fifthsx – 2 2x + 5y = −10 2x − 5y = −10 y + 4 = –Two-fifths(x – 5) y – 4 = Five-halves(x + 5)
The three linear equations that represent the line perpendicular to the line 5x - 2y = -6 and passing through the point (5, -4) are: y = -2/5x - 2, 2x + 5y = -10, and y + 4 = -2/5 * (x - 5).
Explanation:Firstly, to find a line perpendicular to another line, we need to find the negative reciprocal of the slope of the original line. The equation 5x - 2y = -6 can be rewritten in slope-intercept form (y = mx + b) as y = 2.5x + 3, so its slope is 2.5. The negative reciprocal of 2.5 is -2/5. Therefore, the slope of the line we are looking for is -2/5.
Secondly, a line passes through a given point (5, -4), so we can use the point-slope form of the equation, which is y - y1 = m(x - x1). By substituting the values, we get y - (-4) = -2/5 * (x - 5), which simplifies to y + 4 = -2/5 * (x - 5).
Lastly, to find other representations of the same line, the standard form of a linear equation is Ax + By = C. Converting y + 4 = -2/5 * (x - 5) to standard form gives us 2x + 5y = -10. So, the three equations that represent the line are: y = -2/5x - 2, 2x + 5y = -10, and y + 4 = -2/5 * (x - 5).
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solve for x
2x+9=35
Hey!
---------------------------
Solution:
2x + 9 = 35
2x + 9 - 9 = 35 - 9
2x = 26
2x/2 = 26/2
x = 13
---------------------------
Answer:
x = 13
---------------------------
Hope This Helped! Good Luck!
Answer:
x = 13
Step-by-step explanation:
Given
2x + 9 = 35 ( isolate 2x by subtracting 9 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13
The sum of the numbers as a product of their GCF is ? The numbers are18+48
Answer:
Step-by-step explanation:
18=2×3×3
48=2×2×2×2×3
G.C.F.=2×3=6
18+48=66
6×11=66
Find the length of segment CD with points C(2,2) and D (-1,8)
A. 8.1
B. 5.2
C. 4.3
D. 6.7
Answer:
D
Step-by-step explanation:
Calculate the length using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = C(2, 2) and (x₂, y₂ ) = D(- 1, 8)
CD = [tex]\sqrt{(-1-2)^2+(8-2)^2}[/tex]
= [tex]\sqrt{(-3)^2+6^2}[/tex]
= [tex]\sqrt{9+36}[/tex] = [tex]\sqrt{45}[/tex] ≈ 6.7 → D
Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y
Answer:
Well, there are x amounts of white flower and 6 cups of wheat flower.
So the total flower is x + 6
Given that is the total, the equation you would use is:
y=x+6
The constraints are as follows:
y can only be > 6
And if y=0, x would have to be -6 (which is impossible)
Answer:
D) y=x+6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.
Step-by-step explanation:
Got it right on my test
-7 1/3 written as a fraction is
- 10/3
- 21/3
- 22/3
Answer:
-22/3
Step-by-step explanation:
Multiply the whole number by the denominator, and then add the numerator to get the improper fraction.
What is the slope of the line in the graph?
Answer:
The slope is 1
Step-by-step explanation:
Slope is change in y over change in x.
You have point (1,2) and point (0,1)
change in y = 2-1 = 1
change in x = 1-0 = 1
change in y over change in x = 1/1 = 1
Evaluate a + b for a = 43 and b = -29.
HELP ME I ONLY HAVE 1 hourrr
Answer:
14
Step-by-step explanation:
Substitute the given values for a and b into the expression and evaluate
a + b = 43 + (- 29) = 43 - 29 = 14
Answer:
Step-by-step explanation:
a + b = 43 +(-29) =43-29 = 14
What’s the answer to this problem?
In order to get the answer to this question you will have to figure out how much 120 US dollars gets you in Canadian dollars.
[tex]120=158.36[/tex]
[tex]158.36-20=138.36[/tex]
[tex]138.36=104.87[/tex]
[tex]=104.87[/tex]
Therefore your answer is "104.87."
Hope this helps.
Answer:
130
Step-by-step explanation:
the answer is $130 because I really need points to ask a question, I recommend googling the question or googling the currency
One positive number is 3 times another number. The difference between the two numbers is 62. Find the numbers
Answer:
31
93
Step-by-step explanation:
Let the larger number = y
Let the smaller number = x
y = 3x
y - x = 62
3x - x = 62
2x = 62
2x/2 = 62/2
x = 31
y = 3x
y = 3*31
y = 93
Final answer:
To find two positive numbers where one is 3 times the other and their difference is 62, let one number be x, then solve the equation 3x - x = 62 to find the numbers 31 and 93.
Explanation:
To find the numbers:
Let one number be x, then the other number is 3x.
Form an equation: 3x - x = 62.
Solve for x: 2x = 62, x = 31.
So, the two numbers are 31 and 93.
Which of the following is equal to the expression when x does not equal -2 or 3?
Answer:
at first we should simplify each equation by find its roots
(x^2+5x+6) =
(x+2) (x+3)
(x^2-x-6)=
(x-3) (x+2)
sox^2+5x+6÷x^2-x-6=
(x+2)(x+3)÷(x-3)(x+2)=
A(x+3) ÷(x-3)
Answer:
x+3/x-3
Step-by-step explanation:
Place the following in order from least to greatest. 74.6, -74.69,-74.069, 74.59
Answer:
-74.069, -74.69, 74.59, 74.6
Step-by-step explanation:
negative numbers are smaller than positives
Answer:
-74.69, -74.069, 74.59, 74.6
Step-by-step explanation:
Write .46 as a fraction
Simplify the expression -3/8 -1/10
The answer would be "-3/8 + -1/10."
Simplify means to reduce so in this case we aren't solving the question we are reducing it into simpler terms.
[tex]-\frac{3}{8} -\frac{1}{10}[/tex]
According to the rules of KCC (Keep Change Change) you would have to turn the subtraction sign into a addition sign and make the positive 1/10 into a negative.
[tex]-\frac{3}{8} +-\frac{1}{10}[/tex]
The equation cannot be reduce no further therefore that would be your answer.
Hope this helps.
The rule for pattern is ad 6.The first term is 5. The first term is 5.Write the first Five terms in the patterns
Answer:
5, 11, 17, 23, 29
Step-by-step explanation:
5+6=11+6=17+6=23+6=29