Answer:
B)3
Step-by-step explanation:
to find "x" intercept substitute 0 for y and solve
4x+3(0)=12
4x+0=12
divide by "4" on both sides:
4x/4=12/4
x=3
hope this helps!
Answer: B
Step-by-step explanation: I put it in a website and the answer is b
What is the measure of angle PQR
Answer:
30 degrees
Step-by-step explanation:
P+Q+R=180
80+70+Q=180
Q=30
PQR = angle Q
Answer:30 degrees!!
Step-by-step explanation:
happy Friday! :) hope this helps!
Help please K? cya gtg
Answer:
Pretty sure its Quadratic
Step-by-step explanation:
Linear, needs to be in a straight line.
Quadratic, involving the second and no higher power of an unknown quantity or variable.
Exponential, (of an increase) becoming more and more rapid.
ruben bought 2 large popcorn buckets and 4 small drinks for 20 dollars. lucia bought 2 large popcorn buckets and 2 small drinks for 14 dollars. how much did the large popcorn cost? the small drink
Answer:
4$ for large 3$ for a small
Step-by-step explanation:
Answer:
(A) cost of one large popcorn is $4.
(B) cost of one small drink is $3.
Step-by-step explanation:
Given information:
Let the cost one of large popcorn [tex]=P[/tex]
And the cost of one small drink [tex]= D[/tex]
Now according to the given information the equations that can be formed are:
[tex]2P+4D=20\\2P+2D=14\\[/tex]
Now solving the above equation by elimination method:
[tex]4D-2D=20-14\\2D=6\\D=3[/tex]
So, the cost of one small drink is $3
Now, find the cost of one large popcorn is;
[tex]2P+4 \times 3=20\\2P=20-12\\P=4[/tex]
So, the cost of one large popcorn is $4
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The area of a square living room is 1225 square feet. What is the perimeter of the room?
The area of a square is length*width and since a square has the same side measurements, √1225 or 35 is one side. (35 * 35 = 1225)
There are 4 sides so 35*4 = 140ft² as the perimeter
I hope this helps!
Answer:
140 ft
Step-by-step explanation:
Here, A = 1225 ft² = s², where s represents the length of one side of the room. Here, s = √( 1225 ft² ) = 35 ft.
Thus, the perimeter, P = 2L + 2W, is 4(35 ft) = 140 ft
solve using any method -x^2+x+12=0
Answer:
[tex]x_1=4\\x_2=-3[/tex]
Step-by-step explanation:
Multiply both sides of the equation by -1:
[tex](-1)(-x^2+x+12)=0(-1)\\x^2-x-12=0[/tex]
Now, you can Factor the quadratic equation to solve it:
Choose two number that when you multiply them you get -12 and when you add them you get -1. These numbers are: -4 and 3
Therefore, you get:
[tex](x-4)(x+3)=0\\x_1=4\\x_2=-3[/tex]
For this case we have the following quadratic equation:
[tex]-x ^ 2 + x + 12 = 0[/tex]
We can solve it by:
[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}[/tex]
Where:
[tex]a = -1\\b = 1\\c = 12[/tex]
Substituting:
[tex]x = \frac {-1 \pm \sqrt {1 ^ 2-4 (-1) (12)}} {2 (-1)}\\x = \frac {-1 \pm \sqrt {1 + 48}} {- 2}\\x = \frac {-1 \pm \sqrt {49}} {- 2}\\x = \frac {-1 \pm \sqrt {49}} {- 2}\\x = \frac {-1 \pm7} {- 2}[/tex]
We have two roots:
[tex]x_ {1} = \frac {-1 + 7} {- 2} = \frac {6} {- 2} = - 3\\x_ {2} = \frac {-1-7} {- 2} = \frac {-8} {- 2} = 4[/tex]
Answer:
[tex]x_ {1} = - 3\\x_ {2} = 4[/tex]
Mr.eldeb is designing a voting box for prom. The box must have a maximum surface area of 380 in2 with a height of 4.5 inches. If the box has a square base what is the largest width that the box could have in inches?
PLEASE HELLPP
Check the picture below.
now, we know the base is a square, thus the length = width, namely L = w, so
[tex]\bf SA=2(Lw+Lh+wh)\implies \stackrel{\textit{since we know that L=w}}{380=2(ww+wh+wh)} \\\\\\ \cfrac{380}{2}=w^2+2wh\implies 190=w^2+2wh \implies 0=w^2+2wh-190 \\\\\\ 0=(w+19)(w-10)\implies w= \begin{cases} -19\\ \boxed{10} \end{cases}[/tex]
since the units must be positive, we can't use -19.
Final answer:
To find the largest width for the voting box, we need to consider its surface area. By setting up an equation and differentiating it with respect to the width, we can find the maximum width. The largest width for the box would be approximately 58.46 inches.
Explanation:
To find the largest width of the voting box, we need to consider its surface area. The surface area of a square-based box is given by 2lw + lh + wh, where l is the length, w is the width, and h is the height. We are given that the height is 4.5 inches, and we need to find the maximum width. The maximum surface area is 380 in2, so we can set up the equation as follows:
2lw + lh + wh = 380
Substituting the given height and rearranging the equation:
2lw + (4.5)(w) + (w)(w) = 380
Simplifying the equation:
2lw + 4.5w + w2 = 380
Since we are trying to find the maximum width, we can differentiate the equation with respect to w and set the derivative equal to zero:
d(2lw + 4.5w + w2)/dw = 0
2l + 4.5 + 2w = 0
Solving for w:
w = (380 - 4.5l)/2
Since the width should be the largest possible, we can substitute the maximum value of the length. Given that the box has a square base, the length and width are equal. Therefore, we substitute l = w:
w = (380 - 4.5w)/2
Simplifying the equation:
2w = 380 - 4.5w
6.5w = 380
w ~ 58.46 inches
Therefore, the largest width that the box could have is approximately 58.46 inches.
Duke pays $111.60 for his yearly movie pass plus $4.00 for popcorn for each movie.Tenneshia pays $16.40 for a ticket to every movie but she doesn't buy food because she doesn't want to waste the money. In how many movies will they have paid the same amount?
Answer:
After 9 movies they will have paid the same amount
Step-by-step explanation:
We must write an equation for Duke's expenses and an equation to represent Tennessee's expenses.
For Duke expenses we have:
A fixed expense of $ 111.60 per year
A variable expense of $ 4.00 for each movie.
The equation that represents the expenses is a linear equation like the one shown below
[tex]C = 111.60 + 4.00x[/tex]
Where C represents the cost and x the number of movies.
For Tennessee expenses we have:
A variable expense of $ 16.40 for each film.
The equation that represents the expenses is a linear equation like the one shown below
[tex]C = 16.40x[/tex]
Where C represents the cost and x the number of movies.
To know after how many movies have paid the same amount, we equate both equations and solve the variable x
[tex]111.60 +4.00x=16.40x\\\\16.40x - 4x = 111.60\\\\12.40x =111.60\\\\x =\frac{111.60}{12.40}\\\\x =9[/tex]
After 9 movies they will have paid the same amount
what is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6
The equation of the parabola with vertex (2, -4) and directrix y = -6 is y = 0.25(x - 2)² - 4.
Explanation:The equation of a parabola in vertex form is y = a(x - h)² + k, where (h, k) is the vertex, and a is a constant that determines the shape and direction of the parabola. Given the vertex (2, -4) and the directrix y = -6, we can determine the value of a using the formula a = 1 / 4(c), where c is the distance from the vertex to the directrix. Since the vertex lies two units above the directrix, the constant c = 2; hence, a = 1 / 4(2) = 0.25 or 1/4.
Thus, the equation of the parabola is y = 0.25(x - 2)² - 4.
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Answer:
( X -2 ) ^2 = 8(y +4)
Step-by-step explanation:
Lorenzo went to the store with $20. He bought some cans of soup for $2 each and a gallon of milk for $3. He had $1 left over.
This equation gives s, the number of cans of soup that he bought.
2s + 3 = 20 - 1
How many cans of soup did he buy?
8
11
7
9
Answer:
8
Step-by-step explanation:
20-1=19
19-3=16
16/2=8
Answer:
S= 8 Cans Of Soup
Step-by-step explanation:
Starts With- $20
Ends With- $1
20-1=$19
$19 spent in all
Buys gallon/ Or Gallons of milk : 1 Gallon= $3
$19-$3= $16 S=Cans of soup 1 can=$2 $16 ÷ $2= S
2, 4, 6, 8, 10, 12, 14, 16 S= 8 cans $2×8=$16
1, 2, 3, 4, 5, 6, 7, 8
A person invests 7500 dollars in a bank. The bank pays 6% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 16200 dollars?
To determine how long to leave $7500 in the bank at 6% interest compounded semi-annually to reach $16200, use the compound interest formula. Solving for t, time in years, yields approximately 11.9 years for the investment to grow to the desired amount.
Explanation:To calculate how long the person must leave their money in the bank for it to grow from $7500 to $16200 with an interest rate of 6% compounded semi-annually, we'll use the formula for compound interest:
A = P(1 + \frac{r}{n})^{nt}
Where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of times that interest is compounded per year.t is the number of years the money is invested for.We are given:
A = $16200P = $7500r = 0.06 (since 6% must be converted to a decimal)n = 2 (because the interest is compounded semi-annually)Our goal is to solve for t, the time in years. Plugging the known values into the formula:
$16200 = $7500(1 + \frac{0.06}{2})^{2t}
Divide both sides by $7500:
2.16 = (1 + \frac{0.06}{2})^{2t}
Now take the natural logarithm of both sides:
ln(2.16) = ln((1 + \frac{0.06}{2})^{2t})
Use properties of logarithms to bring down the exponent:
ln(2.16) = 2t \cdot ln(1 + \frac{0.06}{2})
Divide both sides by 2ln(1 + \frac{0.06}{2}) to solve for t:
t = \frac{ln(2.16)}{2 \cdot ln(1 + \frac{0.06}{2})}
t = \frac{ln(2.16)}{2 \cdot ln(1.03)}
Using a calculator, we find t ≈ 11.9 years. Therefore, the person must leave the money in the bank for approximately 11.9 years to reach $16200.
To the nearest tenth of a year, the person must leave the money in the bank for approximately 13 years.
To find the time required for the investment to reach $16200, we can use the formula for compound interest:
[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]
Where:
- ( A ) is the amount of money accumulated after ( t ) years.
- ( P ) is the principal amount (the initial investment).
- ( r ) is the annual interest rate (in decimal form).
- ( n ) is the number of times interest is compounded per year.
- ( t ) is the time the money is invested for (in years).
Given:
- ( P = 7500 )
- ( A = 16200 )
- ( r = 0.06 ) (6% interest, converted to decimal)
- Interest is compounded semi-annually, so ( n = 2 )
Step 1 :We need to solve for ( t ):
[tex]\[ 16200 = 7500 \left(1 + \frac{0.06}{2}\right)^{2t} \][/tex]
[tex]\[ \frac{16200}{7500} = \left(1 + 0.03\right)^{2t} \][/tex]
[tex]\[ 2.16 = \left(1.03\right)^{2t} \][/tex]
Take the natural logarithm of both sides:
[tex]\[ \ln(2.16) = \ln\left(\left(1.03\right)^{2t}\right) \][/tex]
[tex]\[ \ln(2.16) = 2t \cdot \ln(1.03) \][/tex]
Step 2 :Now, solve for [tex]\( t \)[/tex]:
[tex]\[ t = \frac{\ln(2.16)}{2 \cdot \ln(1.03)} \][/tex]
[tex]\[ t \approx \frac{0.7693}{2 \cdot 0.0296} \][/tex]
[tex]\[ t \approx \frac{0.7693}{0.0592} \][/tex]
[tex]\[ t \approx 13 \][/tex]
So, to the nearest tenth of a year, the person must leave the money in the bank for approximately 13 years.
An item that cost $5.50 is marked up %60. What is the new price of the item after the markup? Show work please
Answer:
$8.80
Step-by-step explanation:
In order to find the new price, you need to add 60% of the original price (5.50) to the original price. You have two options:
1) multiply $5.50*0.6 to get 60% of the original price. You would get $3.30. Then add $3.30+$5.50, which equals $8.80. This way takes longer but shows you all the steps.
2) The shorter way is to simply multiply $5.50*1.6, which also equals $8.80. This works because the "1" automatically adds the 5.50 to 60% of the original price, this way you don't have to multiply then add.
If you don't understand how the second way works or your teacher taught you #1, just do it the first way.
Final answer:
To find the new price after a 60% markup, you need to calculate 60% of the original price and then add it to the original price.
Explanation:
To find the new price after a 60% markup, you need to calculate 60% of the original price and then add it to the original price.
Step 1: Calculate 60% of $5.50. 60% is equivalent to 0.60, so multiply 0.60 by $5.50 to get $3.30.
Step 2: Add $3.30 to $5.50 to find the new price. $3.30 + $5.50 = $8.80.
Therefore, the new price of the item after the 60% markup is $8.80.
Reduce to simplest form
the answers 11/6 which can't be reduced
What percent of 22 is 44?
Answer:50%
Step-by-step explanation:
Whenever you are trying to find the percentage Use this euation for exmaple based off your question it would be
22*100/44
What is the area of this figure?
Drag and drop the appropriate number into the box.
A = _____ cm²
Answer:
A = 102 cm^2
Step-by-step explanation:
This figure is a trapezoid. The area is given by
A = 1/2 (b1+b2) *h where b1 is the base and b2 is the top
b1 = 21 b2 = (6+7) and h = 6
A = 1/2 (21+13) *6
A = 1/2 (34)*6
A = 102 cm^2
How many times greater is the value of the 2 in 270,413 than the value of 2 in 419,427
Answer:
the 2 in 270,413 is in the thousandths place. The 2 in 419,427 is in the tenths place
Hopes this helps
Answer:
10,000
Step-by-step explanation:
I did the test
Bob bought a solid rubber doorstop to keep the air flowing between the rooms of his apartment.
sides: 1.5 cm, 2 cm, 2.5 cm, 5 cm
What is the minimum amount of rubber used to make the doorstop?
a) 5cm^2
b) 7.5cm^2
c) 32cm^3
d) 33cm^3
Answer: 5 cm
Step-by-step explanation: If you liked this answer check out my channel Saltygum and subscribe
Someone PLEASE HELP ME!!
Okay so, eight people were asked what the balance of their bank account at the beginning of the past week was and how much it increased or decreased by the end of the past week.
Create a scatter plot that represents the data that is shown in the table. The x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the bank account in hundreds of dollars.
oof did u ever find out the answer...
Answer:
The scatter plot that represents the data that is shown in the table is attached below.
Step-by-step explanation:
The given table represents the balance of bank account at the beginning of the past week was and how much it increased or decreased by the end of the past week.
In the scatter plot, x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the bank account in hundreds of dollars.
From the table, it is clear that the points of scatter plot are (4,7), (7,5), (2,3), (3,4), (1,6), (5,3), (6,1) and (4,2).
Therefore the scatter plot that represents the data that is shown in the table is attached below.
What is 5,560 round each number to thousands place
Answer:
6,000
Step-by-step explanation:
every number 5 and over, you round it one number up. if youre rounding the thousands place, look at the hundreds place. if its 5 or over you round the thousands number up one then add the zeros.
A line is drawn on a coordinate grid by the equation x = 6. Which of the following lines would represent a row parallel to it?
A. a line containing the point (6,2)
B. y = 6
C. y = 4
D. x = 3
Answer:
D, x = 3
Step-by-step explanation:
to know if a line is parallel, we need to know what kind of line x = 6 is
we can use the mnemonic VUX/HOY to determine the slope, the type of line, and which axis it corresponds to. VUX/HOY stands for:
Vertical line
Undefined slope
X axis
Horizontal line
0 is the slope
Y axis
according to this, the equation x = 6 is a vertical line
now we can start eliminating answer choices
A. a line containing the point (6,2)
the point lies on the line x = 6, as the x-coordinate in the ordered pair is 6. this is not parallel to the line
B. y = 6
this intersects x = 6 and is not parallel
C. y = 4
this intersects x = 6 as well and is not parallel
D. x = 3
this leaves us with x = 3, which is a vertical line as seen by the equation and therefore x = 3 is our answer
Answer:
D, x = 3
Step-by-step explanation:
to know if a line is parallel, we need to know what kind of line x = 6 is
we can use the mnemonic VUX/HOY to determine the slope, the type of line, and which axis it corresponds to. VUX/HOY stands for:
Vertical line
Undefined slope
X axis
Horizontal line
0 is the slope
Y axis
according to this, the equation x = 6 is a vertical line
now we can start eliminating answer choices
A. a line containing the point (6,2)
the point lies on the line x = 6, as the x-coordinate in the ordered pair is 6. this is not parallel to the line
B. y = 6
this intersects x = 6 and is not parallel
C. y = 4
this intersects x = 6 as well and is not parallel
D. x = 3
this leaves us with x = 3, which is a vertical line as seen by the equation and therefore x = 3 is our answer
Step-by-step explanation:
Classify each number as rational or irrational 0.329 127.5 -89 101
0.329 is rational, 127.5 is rational, -89 is rational rational
Which of the following could represent the scale factor of the larger figure to the smaller figure
Answer:
C. 3:2
D. 21:14
Step-by-step explanation:
The scale factor of the larger figure to the smaller figure is the factor
that gives the dimensions of the smaller figure from the larger figure.
Correct response:
The possible scale factor of the larger to smaller figure is 3:2Method used for the calculationThe possible dimensions given in the question as obtained from a similar question are;
Diameter of a smaller cylinder = 12 m
Diameter of a larger cylinder = 18 m
The scale factor of the larger figure to the small figure is given by ratio
of the diameter diameters is found by dividing the diameter of the larger
figure by the diameter of the smaller figure as follows;
[tex]\mathbf{\dfrac{Larger \ diameter}{Smaller \ diameter} } = \dfrac{18}{12} = \dfrac{3}{2} [/tex]The ratio is 3:2
Therefore;
The possible scale factor of the larger figure to the smaller figure is 3:2Learn more about scale factors here:
https://brainly.com/question/13862552
Use the vertical line test to determine if the graph is a graph of a function.
A) Yes
B) No
Answer:
Step-by-step explanation:
Yes. If the vertical line intersects the graph in only one place for each x value, the graph represents a function; if in two or more places, not.
What us 10.5 as a fraction
Answer:
10 1/2
Step-by-step explanation:\
dont change the whole number part
0.5 is the same as 1/2
so 10 1/2
Final answer:
To convert 10.5 to a fraction, express it as 105/10 and simplify it to 21/2.
Explanation:
When converting the decimal 10.5 to a fraction, we can view the number 10.5 as having one decimal place.
To express the decimal as a fraction, we put the decimal over its place value, which in this case is 10 since there is one decimal place (0.5 is in the tenths place).
Therefore, 10.5 can be expressed as 105/10.
However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
Thus, the simplified fraction for 10.5 is 21/2.
Equal to t In terms of w,r and v
Answer:
[tex]\frac{WR}{v^2} =t[/tex]
Step-by-step explanation:
[tex]W = \frac{v^2t}{R}\\\\W\cdot R = v^2t\\\\\frac{WR}{v^2} =t[/tex]
It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Adam should cover to get to the park?
Answer:
He will cover 120 miles.
Step-by-step explanation:
K so provided is a picture of my work. I drew a unit rate table thing. Then off the side i calculated how fast he would need to go in 1 hour. So i could add it correctly. I hope this makes sense, if it doesnt just ask me lol
Answer:
Step-by-step explanation:
Alright, lets get started.
Suppose the distance to the park is d.
Suppose the speed is s.
Adam takes 4 hours to drive to park.
Applying speed, time , distance formula
[tex]time=\frac{distance}{speed}[/tex]
[tex]4=\frac{d}{s}[/tex]
[tex]s=\frac{d}{4}[/tex] .......................... equation 1
If the speed is 45 faster, time is 2.5 times less, means
[tex]\frac{4}{2.5}=\frac{d}{s+45}[/tex]
[tex]1.6=\frac{d}{s+45}[/tex]
Cross multiply
[tex]1.6(s+45)=d[/tex]
Plugging the value of s from equation 1
[tex]1.6(\frac{d}{4}+45)=d[/tex]
[tex]1.6*\frac{d}{4}+1.6*45=d[/tex]
[tex]0.4d+72=d[/tex]
[tex]0.6d=72[/tex]
[tex]d=\frac{72}{0.6}[/tex]
[tex]d=120[/tex]
So the distance is 120 miles. : Answer
Hope it will help :)
Help meeee pleaseee!! Asapp
Answer:
First option: You start with $3 and save $1 each month.
In this case, the relationship is linear. So the corresponding equation is: y=x+3. Where 'x' represents the month. For example, the amount of money that you will have after 7 months is going to be: y = 7 + 3 = 10. (Ten dollars).
Second option: You save $3 the first month, and then each month the amount triples.
In this case, the relationship is exponential. If each month the amount triples, it means that the first month you have $3, the second month $9 and the third month $27. The equation that correctly models this situation is [tex]y=3^{x}[/tex]. For example, the amount of money that you will have after 7 months is going to be [tex]y=3^{7} = 2187[/tex] (2187 dollars)
Third option: Your total savings is 3 times the number of months multiplied by itself.
In this case, the relation is quadratic. So the equation that models this situation is: [tex]y=3x^{2}[/tex]. For example, the amount of money that you will have after 7 months is going to be [tex]y=3(7)^{2} = 147[/tex] (147 dollars)
✅✅✅✅ BONUS: The best option is the SECOND ONE ✅✅✅✅
What is the slope of this line?
The answer is 2/5. (or 0.4 if you need a decimal answer.)
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
We must find two points through which the line passes:
[tex](x_ {1}, y_ {1}) :( 2,3)\\(x_ {2}, y_ {2}}: (- 3,1)[/tex]
Substituting:
[tex]m = \frac {1-3} {- 3-2} = \frac {-2} {- 5} = \frac {2} {5}[/tex]
Answer:
[tex]m = \frac {2} {5}[/tex]
What is the value of the expression [36-9+(8x6)-21]divided by 3
Answer:
12-3+(2.7x2)-7
Step-by-step explanation:
you would have to divide each number in the equation by 3 which would look like this:
36 / 3 = 12
-9 / 3 = -3
8 / 3 = 2.6666 repeating, which would be rounded up to 2.7
6 / 3 = 2
-21 / 3 = -7
i hope this helps :)
Answer:
18
Step-by-step explanation:
using Pemdas
you would do the parentheses first
in the parentheses theres parentheses so 8*6 is 48
then do the rest of the parentheses so 36-9+48-21 which equals 54
then lastly divide by 3
which equals 18
Need Help For This Question
For this case we must find the inverse of the following function:
[tex]f (x) = x ^ 2-1[/tex]
For them we follow the steps:
We change f (x) to y:
[tex]y = x ^ 2-1[/tex]
We exchange variables:
[tex]x = y ^ 2-1[/tex]
We solve for "y":
[tex]y ^ 2-1 = x[/tex]
We add 1 to both sides of the equation:
[tex]y ^ 2 = x + 1[/tex]
We apply square root to eliminate the exponent:
[tex]y = \pm \sqrt {x + 1}[/tex]
We change y by [tex]f ^ {- 1} (x)[/tex]:
[tex]f ^ {- 1} (x) =\pm \sqrt {x + 1}[/tex]
Answer:
Option D
2 qt 1 cup = ____ fl oz
40
72
80
136
Answer:
A. 72
Step-by-step explanation:
Answer:
72fl
Step-by-step