represent the days as a variable
days= x
remeber that 80c is the same as $0.80
write an equation that models this situation
[tex]0.80x>25.50[/tex]solve the equation for x
[tex]\begin{gathered} \text{0}.80x=25.50 \\ x>\frac{25.50}{0.80} \\ x>31.875 \end{gathered}[/tex]according to this, after 31.875 days he will have enoght for the hat
Answer:
32 days
Step-by-step explanation:
25.50 / (.80 /day)= 31.875 days <=== so after 32 days he will have enough
find the area and perimeter
Area: (4 * 2) + (4 *2) = 16cm^2
Perimeter: (4 + 2 )+ 6 + (2 + 2 + 4) = 20
A number n plus 4.1 is less than or equal to 7 . Write this word sentence as an inequality.
Answer:
The word sentence you are looking for is:
n + 4.1 ≤ 7
Step-by-step explanation:
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Consider the equation, x2 3x + 4, where x represents a real number.a. Are the expressions x2 and 3x + 4 algebraically equivalent?b. The following table shows how we might "sift” through various values to assign to the variable symbol x in the hunt for values that would make the equation true.
(a)
The expression are equivalent to each ohter if both expressions give same value for all assign values of x. From the table it can be observed that both expression do not give same value for all values of x. Thus expression
[tex]x^2[/tex]and 3x + 4 are not eqivalent to each other.
(b)
From the table, it can be observed that values of the expression are equal for x = 4. So equation
[tex]x^2=3x+4[/tex]holds true for x = 4.
A coordinate plane with a graphed system of inequalities. The x- and y-axes both scale by one. There is a dashed line representing an inequality that goes through the plotted points (0,5) and (3,1). The shaded region for the inequality is below the line. Find the inequality represented by the graph.
The linear inequality that represented by the graph is given as follows:
y < -4x/3 + 5.
How to obtain the inequality?The inequality is represented by a line, which has the following format:
y = mx + b.
In which the coefficients of the equation of the line are listed as follows:
m is the slope, representing the rate of change, that is, by how much y changes when x increases by one.b is the y-intercept, representing the value of y when x = 0.The two points of the line are given as follows:
(0,5) and (3,1).
Hence the intercept is:
b = 5.
The slope is given by the change in y divided by the change in x, hence it is of:
m = (1 - 5)/(3 - 0) = -4/3.
Hence the line is:
y = -4x/3 + 5.
The inequality is below the shaded line, hence it is:
y < -4x/3 + 5.
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Answer:
y < -4/3x + 5.
Step-by-step explanation:
Line f passes through 4, 0) and is parallel to a line that passes through (7, -3) and (-10. -2)
A straight line can be written in the form of a two variable linear equation.
The equation of line passing through point (4,0) is y = -1 / 17 x + 4.
How to represent a straight line on a graph?To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.
Given that,
The line is passing through the point (4,0).
It is parallel to the line passing through (7, -3) and (-10. -2).
The slope of the line passing through (7, -3) and (-10. -2) is
m₁ = (-2-(-3)) / (-10 - 7)
m₁ = - 1 / 17
Since the slope of two lines parallel to each other is equal, the slope of the line passing through point (4,0) is - 1 / 17.
Thus, the equation of line passing through point (4,0) can be written as,
(y - 4) / (x - 0) = - 1 / 17
=> y = -1 / 17 x + 4
Hence, the equation of the given line is y = -1 / 17 x + 4.
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PLS SOMEONE HELP FIND THE ANSWERS
Answer:
6. 24
Step-by-step explanation:
A) Use pythogaras theoram
8x8 - 5x5 = axa - bxb = c
64-25= 39
39 square root =6.24
Factor the expression using the GCF.
18−12
Answer:
you mean greatest common factor?
What i the equation of a line that pae through the point (4,−17) and i perpendicular to y=x/7−3? Enter your anwer in the box
The equation of the line that is passing through the point (4,−17) and is perpendicular to y=x/7−3 is 7x -y = -30.
The line is passing through the point (4,-17) and is perpendicular to the line y = x/7-3
Now, the slope of the given line y = x/7-3 is,
M = 1/7
If the other line is perpendicular to it and has slope m, then the, we can write,
Mm = -1
So, putting values,
(1/7)m = -1
m = -7
Now, we have the slope m = -7 of the line and the point (4,-17) of the line,
So, the equation of the line will be,
m = [y-(-17)]/[x-4]
-7 = y+17/x-4
7x+47 = y+17
7x -y = -30
So, the equation of line is 7x -y = -30.
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Can anyone do this equation of a straight line problem?
The required equation for line M will be 4x+72=y as in the form of y=ax+b because line L is perpendicular to line M.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign. Typically, it has a single variable and an equal sign. A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Here,
If x-intercept=B and y-intercept=E
Point B=(16,0)
Point E=(0,4)
point A=(-16,4+4)
=(-16,8)
line M is perpendicular to line L,
slope of L=-4/16
=-1/4
slope of M=-1/-1/4=4
The equation of line M will be,
point=(-16,8)
slope=4
y-8=4(x+16)
y-8=4x+64
4x-y+72=0
Line L is perpendicular to line M, so the required equation for line M will be 4x+72=y in the form of y=ax+b.
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Rey wrapped 6 presents every 10 hours. At that rate, how long, in hours, will it take to wrap 18 presents? label optional
Data
Rey wrapped 6 presents every 10 hours.
will it take to wrap 18 presents?
Procedure
[tex]18\text{ presents }\cdot\frac{10\text{ hours}}{6\text{ presents}}=30\text{ hours}[/tex]
It will take 30 hours
Answer: it will take 30 hours to wrap 18 gifts
Step-by-step explanation:
I cant really explain it so i will show you.
() = h (hours)
| = g (gifts)
( | | | | | | ) }-6
( | | | | | | ) }-6
( | | | | | | ) }-6
10h + 10h + 10h = 30h
6g + 6g + 6g = 18g
I hope this helped
In the word BALLOONS, the ratio of vowels to all letters is
3/5
5:3
8/5
3 to 8
Pls show me step by step
The ratio of vowels to all letters in the word is 3 to 8
Given,
The word BALLOONS
We have to find the ratio of vowels to all letters in this word.
Ratio;
Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.
So,
The number of letters in BALLOONS = 8
The number of vowels = 3
The ratio of vowels to all letters in the word = 3 to 8
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1 print is equal to 2 cups or 16 fulid ounces how many fulid onces are in 4 prints 3 cups
Answer:
There would be 88 fluid ounces in 4 prints and 3 cups.
Step-by-step explanation:
So, if 1 print is equal to two cups, and we have 4 prints, that would mean we can multiply 4 x 2, which equals 8 cups. Now that the prints are out of the way, we add the 3 cups still remaining, to get 11 cups. Now, it wants us to find the fluid ounces, which 16 fluid ounces are in 2 cups, so, 11 divided by 2 = 5.5. So, 5.5 x 16 = 88 fluid ounces.
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Answer:
88
Step-by-step explanation:
16x4=64
8x3=24
64+24=88
Suppose both factors are multiples of 10 . Explain why the number of zeros may be different in factor than product
By using the concept of factors and multiples, it can be inferred that
Product of a and b i.e. ab has atleast (m + n) trailing zeroes which is greater than both m and n
What are factors and multiples?
Suppose the number is k. Factors of k are those numbers that divide k.
For example: Factors of 6 are 1, 2, 3 and 6
Multiples of k are those numbers which are divided by k.
For example Multiples of 6 are 6, 12, 18, ....
Since the factors are of multiple of 10, then the factors will have atleast one trailing zero. Let the factors be a and b
Suppose a has m trailing zeroes and b has n trailing zeroes.
Product of a and b i.e. ab has (m + n) atleast trailing zeroes which is greater than both m and n
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When we apply the concept of factors and multiples, we concluded that the product of a and b i.e. ab has at least (m + n) trailing zeroes that are greater than both m and n.
What are factors and multiples?
A multiple is a number that, up to a given number of times, can be divided by another number without leaving a leftover.
A factor is a pair of integers or more that divide a given number by itself without leaving a residue.
Here,
the factors are of multiple of 10, then the factors will have at least one trailing zero.
We let the factors be a and b
Suppose a has m trailing zeroes and b has n trailing zeroes then, the Product of a and b i.e. ab has (m + n) at least trailing zeroes which are greater than both m and n.
Hence, we concluded that the product of a and b i.e. ab has at least (m + n) trailing zeroes that are greater than both m and n.
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Given a line segment that contains the points A,B, & C in order, and given that B is the midpoint of AC, if AB = 3x + 6, and BC = X + 14,find x.
Since B is the midpoint of AC.
AB = BC
3x + 6 = x + 14
Solve for x :
3x - x = 14 - 6
2x = 8
x= 8/2
x= 4
can you plsss help me due now
Answer:
D
Step-by-step explanation:
I'll try to be brief
Let's plug in our 'y' variable (2x)
2x + (2x) = 20
4x = 20
x = 5
Now, plug in our 'x' variable to get our 'y' variable:
y = 2(5)
y = 10
So, our answer in (5, 10)
Or, D
Please Help!
Solve the inequality for y. y+15 less than 14Simplify your answer as much as possible.
im in accelerated algebra
Answer:
y < - 1
Step-by-step explanation:
y + 15 < 14 ( isolate y by subtracting 15 from both sides )
y < - 1
Answer: y < - 1
Step-by-step explanation:
y + 15 < 14 (isolate y by subtracting 15 from both sides)
y < - 1
soving equations variable on both sides 3x=2x+50
Answer:
x = 50
Step-by-step explanation:
Solve the equation:3x = 2x + 50
Subtract 2x from both sides,
3x - 2x = 2x -2x + 50
x = 50
How much interest will Harley earn in 3 years if she deposits $1,200 into a savings account that pays 6% simple interest?
For f(x)=2^x, find for for f(5) and f (-6)
It order to find f(5) and f ( -6 ) we just replace x on the equation with
x = 5 and x = -6
In the first case, x = 5
[tex]\begin{gathered} f(x)=2^x \\ f(5)=2^5 \\ =2\cdot2\cdot2\cdot2\cdot2 \\ =32 \end{gathered}[/tex]In the second case, x = -6
[tex]\begin{gathered} f(x)=2^x \\ f(-6)=2^{-6} \\ =\frac{1}{2^6} \\ =\frac{1}{2\cdot2\cdot2\cdot2\cdot2\cdot2} \\ =\frac{1}{64} \end{gathered}[/tex]Answer: f(5) = 32 and f(-6) = 1/64Marcus can choose between a monthly salary of $1,500 plus 5.5% of sales or $2,600 plus 2% of sales. He expects sales between $5,000 and $10,000 a month. Complete the explanation to show which salary option he should choose based on how much he could make.
Marcus should choose $2400 plus 3% of sales.
His salary is composed of a fixed salary and a variable salary.
Fixed Salary + Variable Salary = Monthly Salary
2400 150 (3% of 5k) = 2350 - minimum salary he'll receive
2400 300 (3% of 10k) = 2700 - maximum salary he'll receive
VS
Fixed Salary + Variable Salary = Monthly Salary
1500 275 (5.5% of 5k) = 1775 - minimum salary he'll receive
1500 550 (5.5% of 10k) = 2,050 - maximum salary he'll receive
As you can see, despite the high percentage of sales offered, it is not a good option because the fixed salary is low as compared to the other option. Even the maximum salary he'll receive under the option of $1500 is way lower than the minimum salary he'll receive under the option of $2400.
Fixed salary means that each employee receives exactly the same pay and fairness as any other employee in the same pay grade. The level is determined by years of experience and position. For example, all analysts are paid exactly the same all directors are paid the same and all executives are paid the same.
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Consider the line 8x-2y=-5.
Find the equation of the line that is parallel to this line and passes through the point (-4, 3).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 3).
Answer:
4x - y = - 19 and x + 4y = 8
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
8x - 2y = - 5 ( subtract 8 from both sides )
- 2y = - 8x - 5 ( divide through by - 2 )
y = 4x + [tex]\frac{5}{2}[/tex] ← in slope- intercept form
with slope m = 4
• Parallel lines have equal slopes , then
y = 4x + c ← is the partial equation
to find c substitute (- 4, 3 ) into the partial equation
3 = - 16 + c ⇒ c = 3 + 16 = 19
y = 4x + 19 ← equation of parallel line in slope- intercept form
subtract y from both sides
0 = 4x - y + 19 ( subtract 19 from both sides )
- 19 = 4x - y , that is
4x - y = - 19 ← equation in standard form
----------------------------------------------------------------------
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex] , then
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
to find c substitute (- 4, 3 ) into the partial equation
3 = 1 + c ⇒ c = 3 - 1 = 2
y = - [tex]\frac{1}{4}[/tex] x + 2 ← equation of perpendicular line in slope- intercept form
multiply through by 4 to clear the fraction
4y = - x + 8 ( add x to both sides )
x + 4y = 8 ← equation in standard form
6.Which of the quadratic functions has the narrowest graph?O y = -2x2O y = -3x2°yapx?00H
To understand the question, let us draw the graphs of each one
The red graph represents A
The blue graph represents B
The green graph represents C
The purple graph represents D
Let us find the narrowest
The blue graph is the narrowest because it is closed to the y-axis more than the other graphs
The correct answer is B
what does this equal
-5/6+(-5/6)=
Answer:
-5/3
Step-by-step explanation:
Use the partial quotients strategy to solve the following equations. Show your work. 1. 70.4 ÷ 11 = 2. 43.2 ÷ 16 =
Answer:
70.4/11 = 6.4
Step-by-step explanation:
At a real estate agency, an agent sold a house for $344,000. The commission rate is 4.5% for the real estate agency and the commission rate for the agent is 25% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
Commission - $15,480 | Money the agency made - $86,000
Step-by-step explanation:
4.5% of $344,000 is $15,480
25% of $344,000 is $86,000
What does n stand for in the expression?If there are 60 sides, what is the difference between the perimeter and π?
a. The expression represents the perimeter of a polygon:
[tex]n\cdot\sin (\frac{360}{2n})[/tex]n represents the number of sides of the polygon.
b. If we have 60 sides, then n = 60.
We can calculate the approximation given by the expression as:
[tex]\begin{gathered} n\cdot\sin (\frac{360}{2n}) \\ 60\cdot\sin (\frac{360}{2\cdot60}) \\ 60\cdot\sin (\frac{360}{120}) \\ 60\cdot\sin (3) \\ 60\cdot0.0523 \\ 3.138 \end{gathered}[/tex]We can then calculate the difference with π using a calculator as:
[tex]|3.138-\pi|=0.0036[/tex]The difference is approximately 0.0036.
A dance studio charges an application fee and a monthly rate for dance classes. This is represented by the equation, C=50x+75. In this function, x represents the
Responses
number of dance classes taken each month
cost per dance class
application fee
total cost of dance classes each month
In linear equation, 50x is the total cost of dance classes each month.
What is a linear equation example?
Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5.Finding both intercepts of an equation in this format is rather simple (x and y).C = 50x + 75, where 75 is the application fee. When they take out the application fee, it will become:
C = 50x +75 (-75)
C = 50x
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Decimals into frictions -13.25=
Answer:-53/4
Step-by-step explanation:
Answer: -53/4
Step-by-step explanation:
[tex]\displaystyle\\-13.25=\\\\-13\frac{25}{100}=\\\\-13\frac{25(1)}{25(4)}=\\\\-13\frac{1}{4} =\\\\-\frac{13(4)+1}{4} =\\\\-\frac{52+1}{4}=\\\\-\frac{53}{4}[/tex]
9 more than the quotient of a number and 6 is 3
The expression "a number" can be represented with any letter. Use, for instance, the letter n.
Then, the expression "The quotient of a number and 6" can be represented as:
[tex]\frac{n}{6}[/tex]9 more than the quotient of a number and 6 can be expressed as:
[tex]9+\frac{n}{6}[/tex]If that expression is equal to 3, then:
[tex]9+\frac{n}{6}=3[/tex]Which is an algebraic expression for "9 more than the quotient of a number and 6 is 3".
13) Solve the following quadratic equations by completing the square: X^2 + 16x + 5 = 0
We want to solve the following equation
x² + 16x + 5 = 0
↓
x² + 16x = 5
We want to rewrite the equation so its left side is
(x + a)²
We know that
(x + a)² = x² + 2ax + a²
where a is a number, then, we want that the left side look something like
x² + 2ax + a²
Then we first want to find which must be the number a in this case.
Finding aSince 2 · 8 = 16, then the left side is
x² + 16x = x² + 2 · 8x
then, in this case a would be 8
a = 8
Completing the square with a²We want that the left side of our equation looks like:
x² + 2ax + a²
Since it has the first two terms
x² + 16x = 5
we have to add a² = 8² = 64
We add it both sides of the equation:
x² + 16x + 8² = 5 + 64
x² + 2 · 8x + 8² = 69
Now, we can write it as (x + a)²
x² + 2 · 8x + 8² = 69
↓ since (x + a)² = x² + 2ax + a²
(x + 8)² = 69
Solving the equationIn order to solve the equation, we want to "leave x alone" on the left side:
(x + 8)² = 69
↓ squaring root both sides
(x + 8) = ±√69
x + 8 = ±√69
↓ taking 8 to the right side
x = - 8 ±√69
SolutionsWe have two solutions:
x₁ = - 8 -√69
x₂ = - 8 + √69
Since