Answer:
around $9.0
Step-by-step explanation:
10% of 44 is 4.4 so if you multiply 4.4 by 2 that would be the same a 20% and 4.4 times 2 is $8.80 then I just rounded up to $9
If 6x=30, then x=5. If x=5, then 2x=10. Make a conclusion using the law of syllogism
Given:
[tex]\begin{gathered} \text{If 6x=30 then x=5} \\ \text{If x=5 then 2x=10} \end{gathered}[/tex]The law of syllogism states that,
[tex]\text{ If a=}b\text{ and b=c then a=c}[/tex]For the given data,
[tex]\begin{gathered} a\colon\text{ 6x=30} \\ b\colon x=5 \\ c\colon2x=10 \\ By\text{ the law of syllogism,} \\ 6x=30 \\ 3\cdot2x=3\cdot10 \\ \Rightarrow2x=10 \\ Therefore, \\ \text{If 6x=30 then 2x=10} \end{gathered}[/tex]Which set of ordered pairs does not represent a function?
O {(-6, -1), (-4, 6), (-8, 2), (3, -1)}
O {(7,4), (9,-8), (-5, -7), (-2,4)}
O {(-3,-3), (4, 5), (8,9), (0,5)}
O {(-1,8), (8,-4), (8, 3), (-5, -6)}
▸
Set of ordered pairs does not represent a function i
= {(2, 2), (0, -8), (2, 7), (-3, 8)}
What is a function?A function relates an input to an output. A function is generally denoted by f(x) where x is the input.
What is a set?
Any collection of objects , which are mathematical or not
Ordered pair are a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
From question given data is
{(4, 6), (9, -2), (3, -5), (6, 6)}
{(−1,−2),(−4,9),(8,−9),(1,2)}
{(-1, 9), (-7, 8), (3, -1), (4, -1)}
{(2, 2), (0, -8), (2, 7), (-3, 8)}
From the above options we can see that last option has same number in the x axis coordinate. Thus it does not represents a function.
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what's the length and width of the actual flower bed.
Answer:
length: 16ft
breadth:- 12ft
Question #6 Which scenario represents a unit rate of $2? A A 6-pack of hair bows costs $6. How much does 1 hair bow cost? B A 12-pound bag of cat food costs $24. How much does 1 pound of cat food cost? C A 24-pack of water bottles costs $12. How much does 1 water bottle cost? A 42-pound bag of fertilizer costs $21. How much does 1 pound of fertilizer cost ?
We will have that the $12 rate is given by:
B. A 12-pound bag of cat food cost $24, that is:
$24/12 = $2 per pound of food.
I need help on in the answer to this question
To find out the value of z we can use the formula
[tex]z=\frac{w+79}{2}[/tex]But we also have to find out the value of w, which be found using the equation
[tex]360=x+79+w+60[/tex]Which needs the value of x, which be found using
[tex]\frac{x+60}{2}=70[/tex]But instead of doing all that and finding the value of x, w and z. We can directly find z using the fact that
Because it's all angles opposite by a vertex, and the sum of them all will be 360º, then we can say that
[tex]\begin{gathered} z+70+z+70=360 \\ \\ 2z+2\cdot70=360 \\ \\ 2z+140=360 \\ \\ 2z=360-140 \\ \\ 2z=220 \\ \\ z=\frac{220}{2} \\ \\ z=110 \end{gathered}[/tex]Therefore, z = 110º.
A new bank customer with $4,500 wants to open a money market account. The bank is offering a simple interest rate of 1.6%.
a. How much interest will the customer earn in 20 years?
b. What will the account balance be after 20 years?
a. The customer will earn
in interest.
a. The customer will earn $1440 as a interest after 20 years.
b. The account balance will be $5,940 after 20 years.
What is the simple interest?
Simple interest is, by definition, the amount of interest paid on a specific principal sum of money when an interest rate is applied.
The formula of simple interest is I = Prt.
P = principal
r = rate of interest per year.
t = time.
Given that, a customer deposits $4,500 for 20 years.
According to question, P = $4,500, r =1.6% = 0.016, t = 20 year
Putting the value of P, r, and t in I = Prt:
I =4,500 × 0.016 ×20
I =4,500 × 0.016 ×20
I = 1440
The interest is $ 1440.
The account balance will be $(1440 + 4,500) = $5,940.
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help me..............
I need to find "S"
32 = s - 19
Add 19 in both sides
32 + 19 = s - 19 + 19
51 = s
Result
s = 51
10. A square pyramid is shown. The height of the pyramid is 14 centimeters. The area of the base of the square pyramid, B, is 64 square centimeters. 8 64 cm Which measurement is closest to the volume of the pyramid in cubic centimeters? F 900 cm G 450 cm M 300 cm ) 150 cm
ANSWER
The closest measurement is 300cm³
EXPLANATION
The volume of a pyramid is:
[tex]V=\frac{1}{3}Bh[/tex]where B is the ares of the base and h is the height.
In this problem, B = 64cm² and h = 14cm. The volume is:
[tex]V=\frac{1}{3}\cdot64\operatorname{cm}^2\cdot14\operatorname{cm}=298.\bar{6}cm^3[/tex]The one that's closest is 300cm³
A bike rental company charges $10 plus a charge per for the distance ridden. the total cost, t, can be represented by the equation t=10+cm , where c is the additional cost per mile and m is the number of miles ridden. solve the equation for c.
Answer:
[tex]c=\frac{t-10}{m}[/tex]
Step-by-step explanation:
[tex]t=10+cm[/tex]
Subtract 10 from both sides:
[tex]t-10=cm[/tex]
Divide both sides by [tex]m[/tex]:
[tex]\frac{t-10}{m}=c[/tex]
Placing [tex]c[/tex] on the left:
[tex]c=\frac{t-10}{m}[/tex]
For example, if the total charge is $27.50 and the distance ridden is 250 mi, we can calculate the additional cost per mile, as such:
[tex]c=\frac{27.50-10}{250}[/tex]
[tex]c=0.07[/tex]
y= ^2 -4x +6 y= -5^2 + 20x - 12 solve by elimination
The required solutions are x = 15/8 and y = 1/2 which is determined by the elimination method.
Given the linear system of equations as
y = 2 - 4x +6 or
4x + y = 8 …(i)
y= - 5² + 20x - 12 or
20x - y = 37 …(ii)
Equations (i) and (ii) constitute a system of two first-degree equations in the two variables x and y.
So, we have to find out the value of 'x’ and 'y’.
Add equation (i) and equation (ii), we get
4x + y + 20x - y = 8 + 37
24x = 45
x = 45/24
x = 15/8
Substitute the value of 'x’ into equation (i) and we get
4(15/8) + y = 8
60/8 + y = 8
y = 8 - 15/2
y = 1/2
Hence, the required solutions are x = 15/8 and y = 1/2.
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In the equation IX=b, if b<0, then how many solutions are there for x? Think about this: b is a number less than 0
If we assume x and b are real numbers:
|x| = √(x²)
So:
√(x²) = b
Where b<0
x will be always positive, because every number squared is positive
So, the left hand side of the equation will be positive. And since the right hand side of the equation will be always negative, because they tell us that b<0, we can conclude that it is absurd:
√(x²) ≠ b
Therefore, no solutions exist
The answer is Zero
Find the distance between the points (20, 15) and (20, 6).
Answer:
5,14
Step-by-step explanation:
You are at a grocery store and the cost of your groceries is $32.75. You need to add the sales tax, which is 6%. You have one $20 bill, two $10 bills, one $5 bill, five $1 bills, and some pennies.
How much is your total bill including tax?
How much should you give the cashier so you do not get back any pennies?
What denominations will you use for this?
1. The total bill including sales tax is $34.72.
2. The amount the purchaser should pay the cashier is $34.72.
3. The denominations for the payment should be one $20 bill, one $10 bill, four $1 bills, and 72 cents (pennies).
How is the total cost determined?The total cost payable to the grocery store cashier is the cost of the groceries plus the sales tax.
The cost for groceries = $32.75
Sales tax = 6%
Total cost = cost plus sales tax
= $34.72 ($32.75 x 1.06)
We can check the sum as follows:
Unit Bill Amount
1 $20 $20
1 $10 10
4 $1 4
Cents 0.72
Total $34.72
Thus, the grocery purchaser will be spending $34.72, including the sales tax.
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Graph for 6x - 2y > -11
To graph the inequality:
[tex]6x-2y>-11[/tex]We use the x and y-intercepts.
When x=0
[tex]\begin{gathered} 6x-2y>-11 \\ 6(0)-2y>-11 \\ -2y>-11 \\ \frac{-2y}{-2}<\frac{-11}{-2} \\ y<5.5 \end{gathered}[/tex]We have the point: (0, 5.5)
When y=0
[tex]\begin{gathered} 6x-2y>-11 \\ 6x>-11 \\ x>\frac{-11}{6} \\ x>-1.83 \end{gathered}[/tex]We have the point: (-1.83, 0)
We plot the points (0, 5.5) and (-1.83,0).
The points are joined using a broken line because of the inequality sign: >
The graph is shown below:
To determine which side is required, we use the origin test.
When x=0 and y=0
[tex]\begin{gathered} 6x-2y>-11 \\ 0>-11\text{ (TRUE)} \end{gathered}[/tex]This means the side of the line containing (0,0) is where we need. (Shaded above)
Find the value of k so that the remainder is 3(x^2-x+k) divided by (x-1)
Okay, here we have this:
Considering the provided polynomials, we are going to calculate the requested value, so we obtain the following:
So first we will perform the division assuming that k=0 to see what is the remainder that is obtained:
[tex]\begin{gathered} \frac{x^2-x}{x-1} \\ =\frac{x(x-1)}{x-1} \\ =x \end{gathered}[/tex]We obtain that the remainder when taking k=0, is zero, then it will mean that the k must be equal to the residue that we want:
In other words, if we want the remainder to be 3, k must be equal to 3, replacing:
[tex]\begin{gathered} \frac{x^2-x+k}{x-1} \\ \frac{x^2-x+3}{x-1} \\ =x+\frac{3}{x-1} \end{gathered}[/tex]Finally we confirm that for the remainder to be 3, the value of k must be equal to 3.
What are the coordinates of the vertex?What is the equation of the axis of symmetry?What is/are the x-intercept(s)?What is the y-intercept?
We will find the vertex of the parabola as follows:
*Given a quadratic function of the form:
[tex]y=ax^2+bx+c[/tex]We will have that the vertex is given by:
[tex](-\frac{b}{2a},\frac{b^2-4ac}{4a})[/tex]So, for the function given we will have the following vertex:
[tex](-\frac{(-8)}{2(-1)},\frac{(-8)^2-4(-1)(0)}{4(-1)})\to(-4,16)[/tex]So, the vertex for the function is given by the ordered pair (-4, 16).
We will have that the equation of the axis of symmetry is given by:
[tex]x=-4[/tex]So, the axis of symmetry is x = -4.
We will determine the x-intercepts as follows:
[tex]-x^2-8x=0\Rightarrow x=\frac{-(-8)\pm\sqrt[]{(-8)^2-4(-1)(0)}}{2(-1)}[/tex][tex]\Rightarrow\begin{cases}x=-8 \\ \\ x=0\end{cases}[/tex]So, we will have that the x-intercepts are located at x = -8 & x = 0.
From the previous point we can see that the point (0, 0) belongs to the parabola, thus the y-intercept is y = 0.
Write an equation for the line that passes through (3,-14) having slope 0. Give the answer in standard form
Slope intercept form:
y= mx + b
where:
m= slope
b= y intercept
m= 0
Replace (x,y) by the given point (3,-14) and solve for b
-14 = 0 (3)+ b
-14 = b
Slope intercept form:
y= - 14
Standard form:
Ax+BY = C
y = -14
Isabella needs to order some new supplies for the restaurant where she works. The restaurant needs at least 510 glasses. There are currently 231 glasses. If each set on sale contains 18 glasses, which inequality can be used to determine x x, the minimum number of sets of glasses Isabella should buy?
Minimum number of glasses needed by the restaurant be 15
What do you understand by inequality?
Inequalities define the relationship between two different values. Inequality implies not to be equal. The "not equal symbol is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine if they are less than or greater than. If an inequality has just one variable, it is said to be an open sentence.
It is given that the restaurant needs at least 510 glasses.
Currently there are 231 glasses.
Number of glasses each set contain = 18 glasses
x is the minimum number of sets of glasses Isabella should buy.
Number of glasses in x number of sets = 18x glasses
According to question:
231 + 18x ≥ 510
18x ≥ 510 - 231
18x ≥ 279
x ≥ 15.5
Minimum number of sets of glasses ,x = 15
Therefore, minimum number of glasses needed by the restaurant be 15
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PLS HELP ASAP THIS IS DUE TODAY!!!!!!
Are lines L1 and L2 Parallel? Are lines L1 and L4 perpendicular? Explain your thinking.
The lines L1 and L2 are parallel and the Line L1 and L4 are not perpendicular .
In the question ,
it is given that ,
there are four line on the graph ,
to check whether lines are parallel or perpendicular , we need slope,
the Line L4 passes through the points , (0,-5) and (-2,-5),
slope = (-5+5)/(-2)
= 0
the Line L1 passes through the points (-3,-2) and (-6,-8) ,
slope = (-8+2)/(-6+3)
= -6/(-3)
= 2 ,
for the lines to be perpendicular the product of slope should be -1,
but the product of slope of Line1 and Line 4 is 0 .
So , they are not perpendicular .
the line L2 passes through the points (3 , 3.5) and (0 , -2.5) ,
slope = (3.5+2.5)/3
= 6/3
= 2 ,
Since the slope of Line1 and Line2 are equal ,
So , they are parallel .
Therefore , The lines L1 and L2 are parallel and the Line L1 and L4 are not perpendicular .
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i need help with this question parts 3 - 7
Explanation
Question 3 wants us to determine the range of the function
The range will be
[tex](-\infty,1]\text{ U \lparen2,}\infty)[/tex]This is
∞
Ben paid $1200 for a sofa. The price of the sofa Juana purchased was ⅔ the price that Ben paid. How much did Juana pay for her sofa?
Answer:
800
Step-by-step explanation:
200 students were asked to name their favorite science class. The results are shown in the two-wayfrequency table. Use the table to answer the following question.
Explanation:
We're told from the question that 200 students took part in the exercise, so if the total number of girls is 100 then the total number of boys will be;
[tex]\text{Total number of boys =}200-100=100[/tex][tex]\text{Total number of boys that chose Biology}=100-44-37=19[/tex][tex]\text{Total number of boys and girls that chose Biology}=40+19=59[/tex][tex]\text{Total number of boys and girls that chose Chemistry}=39+44=83[/tex][tex]\text{Total number of boys and girls that chose Physics}=21+37=58[/tex][tex]\text{Total of the total row}=59+83+58=200[/tex]To find how many more girls than boys chose Biology, we'll have;
[tex]40-19=21[/tex]So 21 more girls than boys chose Biology.
$15,000 to invest and want to keep your money invested for 5 years. You are considering the following investment options. Choose the investment option that will earn you the most money.
A. 1.89% compounded monthly
B. 1.975% compounded quarterly
C. 1.99% compounded annually d.
D. 3.25% simple interest
Answer:
1) 15000*(1+0.0189)^(5*12) = 46130.16346
2) 15000*(1+0.01975)^(5*3) = 20113.9316
3) 15000*(1+0.0199)^5 = 16553.0954
4) 15000*(1+0.0325*5) = 17437.5
The first one is the best option.
Can y’all help me plssss
(a) Solve the inequality: n > 12
(b) The greatest amount of trips that Edwin can take up the mountain and still pay less than Rhea would be 63
What is Inequality?
Inequality of wealth in major cities Economic inequality comes in many forms, but two stand out above the rest: wealth inequality as measured by the distribution of wealth and income inequality as measured by the distribution of income.
Edwin and Rhea, two siblings, decide on distinct payment arrangements even though they are both going skiing.
In Edwin's proposal, rentals cost $45 and each lift up the mountain costs $5.25.
Rhea had an arrangement whereby her whole day would cost $108.
An inequaity that simulates the n trips up the mountain that Edwin will pay for out of pocket and Rhea won't.
45 + 5.25n > 108
45 is deducted from both sides.
-45 + 45 + 5.25n > 108 -45
5.25n > 63
5.25 times both sides.
n > 12
Also,
5.25 x 12
= 63
The most trips Edwin could make up the mountain and still make less money than Rhea is 63.
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Help
Which statement is true?
Answer:
This table does not show a probability distribution because probabilities cannot be negative, and they cannot be greater than 1.
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. Group of answer choices 2(x2 + 6x + 9) = –3 + 9 2(x2 + 6x) = 3 2(x2 + 6x + 9) = 3 + 18 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x) = –3
The steps that can be used are:
2(x² + 6x) = 3
2(x² + 6x + 9) = 3 + 18
Options B and C is the correct answer.
The solution for the quadratic equation is
x = (-12 + 2√42) / 4
x = (-12 - 2√42) / 4
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
2x² + 12x - 3 = 0
This is in the form of ax² + bx + c = 0
Now,
a = 2
b = 12
c = -3
We can solve this using the determinant formula.
Where,
D = -b ± √(b² - 4ac) / 2a
D = -12 ± √(144 +24) / 4
D = -12 ± √168 / 4
D = -12 ± √(4 x 42)/4
D = -12 ± 2√42 / 4
So,
x = (-12 + 2√42) / 4
x = (-12 - 2√42) / 4
The solution for the quadratic equation is
x = (-12 + 2√42) / 4
x = (-12 - 2√42) / 4
The following options are given:
2(x² + 6x + 9) = –3 + 9
2x² + 12x + 18 = -3 + 9
2x² + 12x + 18 + 3 - 9 = 0
2x² + 12x + 12 = 0
This is not true.
2(x² + 6x) = 3
2x² + 12x - 3 = 0
This is true.
2(x² + 6x + 9) = 3 + 18
2x² + 12x + 18 = 3 + 18
2x² + 12x - 3 = 0
This is true.
x + 3 = ± 21/2
Not true.
2(x² + 6x) = –3
2x² + 12x + 3 = 0
This is not true.
Thus,
The steps that can be used are:
2(x² + 6x) = 3
2(x² + 6x + 9) = 3 + 18
Options B and C is the correct answer.
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D what is the image pointof (3-4) after a translationleft 2 units and up 2 units?
Point = (3,-4)
After a translation left 2 units(-2) and 2 units up
(3-2,-4+2) = (1,-2)
ƒ (4) = -8, ƒ (-3) = 1
write a linear function
f(4) = -8 is another way of saying the point is (4 , -8)
f(-3) = 1 is another way of saying the point is (-3 , 1)
to get the equation of any straight line, we simply need two points off of it, so let's use those two provided
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{4}}} \implies \cfrac{1 +8}{-7} \implies \cfrac{ 9 }{ -7 } \implies - \cfrac{9 }{ 7 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{- \cfrac{9 }{ 7 }}(x-\stackrel{x_1}{4}) \implies y +8 = - \cfrac{9 }{ 7 } ( x -4) \\\\\\ y+8=- \cfrac{9 }{ 7 }x+\cfrac{36}{7}\implies y=- \cfrac{9 }{ 7 }x+\cfrac{36}{7}-8\implies {\Large \begin{array}{llll} y=- \cfrac{9 }{ 7 }x-\cfrac{20}{7} \end{array}}[/tex]
Could you Please show me how to do this Problem ?
Given:
Number of plants she has = 17
She will put 2 plants in some rows and i plant in other rows.
Let's determine the number of ways in which she plant the tomato plants.
Maximum number of rows with 2 plants = 17/2 = 8.5
There will be a maximum of 8 rows with 2 plants
To determine, let's solve using a table.
We have:
Rows with 2 plants: 1 2 3 4 5 6 7 8
Rows with plants: 16 13 11 9 7 5 3 1
Total plants: 17 17 17 17 17 17 17 17
We can see the maximum number of rows possible is 8 rows.
Therefore, Ms. Hernandez can plant the tomaoto plants 8 ways.
ANSWER:
8 Ways
which of the points plotted below satisfy the equation in the box? check all that apply point Apoint Bpoint Cpoint Dpoint Epoint F
The equation is:
[tex]y=-3x[/tex]so is in the form y = mx + c
this means that C = 0 so the intersection when x = 0 y = 0 so the first point is (0,0)
we also know that the slope is negative, so only points in the II and IV cuadrant can be part of the line so we evaluate them:
For point A
[tex]\begin{gathered} 9=-3(-3) \\ 9=9 \end{gathered}[/tex]point A is part of the line (-3,9)
For point D
[tex]\begin{gathered} -6=-3(2) \\ -6=-2 \end{gathered}[/tex]So D is part of the line
So the solution is: PointsIf you don’t need further explanation on this question, we can end the session. I’d really appreciate you letting me know how I did by rating our session after you exit. Thanks and have a great day! A, B, D
Answer:
correct answer: B and F
Step-by-step explanation: