13 * 5 = 65
So, he needs 65 stickers
65/10 = 6.5
He will need 7 sheets, but will only use 6 and a half sheets.
Kyle will need to buy 7 sheets of stickers to have enough for all 13 of his notebooks, given that each notebook requires 5 stickers and each sheet contains 10 stickers.
Explanation:Kyle needs a total of 65 stickers for his 13 notebooks, since he puts 5 stickers on each notebook. There are 10 stickers per sheet, so to find out how many sheets Kyle needs, we divide the total number of stickers by the number of stickers per sheet: 65 stickers ÷ 10 stickers/sheet = 6.5 sheets. Since Kyle cannot buy half of a sticker sheet, he will need to buy 7 sheets of stickers to have enough for all his notebooks.
Finley's pumpkin had a mass of 6.56.56, point, 5 kilograms (\text{kg})(kg)left parenthesis, start text, k, g, end text, right parenthesis before he carved it. After carving it, the pumpkin had a mass of 3.9\,\text{kg}3.9kg3, point, 9, start text, k, g, end text.
What was the percent decrease in the mass of the pumpkin?
The percent decrease in the mass of Finley's pumpkin after carving is approximately 40.55%.
To calculate the percent decrease in the mass of Finley's pumpkin after carving, use the following formula:
Percent Decrease = ((Original Mass - New Mass) / Original Mass) 100%
First, let's find the decrease in mass.
Decrease in Mass = Original Mass - New Mass = 6.56 kg - 3.9 kg = 2.66 kg
Then, calculate the percent decrease:
Percent Decrease = (2.66 kg / 6.56 kg) 100% = 40.55%
The percent decrease in the mass of the pumpkin after carving is approximately 40.55%.
I figured it out, its B A
If A = {4, 7, 10, 13, 17} and B = {3, 5, 7, 9}, then which of the following statements is false?
Ø A
B B
B A
Ralph’s annual income is about $32,000. Based on his expenses illustrated in the graph below, roughly how much should Ralph expect to pay in taxes this year?
The answer is $11200.
Answer:
$11,200 or its D
Step-by-step explanation:
got it right on edge
consider the equation y=16-x. which of the following statements is true
a. x is a function of y, but y is not a function of x.
b. y is a function of x, but x is not a function of y.
c. both x is a function of y and y is a function of x.
d. neither x is a function of y, nor is a function of x
Answer:
C. Both x is a function of y and y is a function of x
Step-by-step explanation:
A function is a relationship which assigns to each input (from the domain) value, a unique output (from the range).
y is a function of x means x is from domain, y is from range
x is a function of y means y is from domain, x is from range
1. Given [tex]y=16-x[/tex]
y is a function of x because for each x there is exactly one y corresponding to this x.
2. Rewrite [tex]y=16-x[/tex] expressing x in terms of y:
[tex]y-16=-x\\ \\-x=y-16\\ \\x=16-y[/tex]
x is a function of y because for each y there is exactly one x corresponding to this x.
Final answer:
In the equation y = 16 - x, both x and y are functions of each other since each variable can be expressed as having a unique output for each input of the other. The correct answer is c. both x is a function of y and y is a function of x.
Explanation:
To determine which statement is true regarding the equation y = 16 - x, we need to understand the concept of a function. A function, in mathematical terms, is a relationship between two sets that assigns to each element of the first set exactly one element of the second set. In simpler terms, for a variable to be a function of another variable, each input should give us exactly one output. This leads us to the vertical line test, which is a visual way to determine if a curve is a graph of a function of x.
Looking at the given equation, y is expressed in terms of x, implying that for each value of x, there is exactly one value of y. This satisfies the definition of a function, so y is a function of x. Conversely, if we solve the equation for x, we get x = 16 - y, which similarly means that for each value of y, there is exactly one value of x, so x is also a function of y.
Given these points, the correct answer is c. both x is a function of y and y is a function of x. This is because each variable can be expressed as having a unique output for each input of the other variable, therefore both variables are functions of each other.
One number is 5 times another number the difference between the two numbers is 1460 what is the two numbers
Answer:
The two numbers are -365 and -1825.
Step-by-step explanation:
5x=y
x-y=1460
--------------
x-5x=1460
-4x=1460
x=1460/-4
x=-365
-365-y=1460
y=-365-1460=-1825
Hassan keeps picking playing cards out of a standard deck of 52 cards, hoping that he will draw a queen. There are four queens in the deck. After looking at each card, he places it back in the deck. What is the probability that Hassan will draw a Queen in the first seven attempts?
A.) 43%
B.) 46%
C.) 57%
D.) 68%
Answer:43%
Step-by-step explanation:
just finished test
Answer:
C.) 57%Step-by-step explanation:
The events describe is about picking a card, and placing it back into the deck. This means that the total number of event won't change in each trial.
We know that there are 4 queens of 52 cards. So, the probability of picking a card and be a queen is
[tex]P=\frac{4}{52}=\frac{1}{13}[/tex]
However, in this case, we have to apply the experimental probability definition, because we have several attempts. This experimental probability is defined as the ratio between the time the event occurs (4) and the total number of trials (7). That is
[tex]P_{exp}=\frac{4}{7}=0.57 \ (or \ 57\%)[/tex]
Therefore, the right answer is C.
3.6792mm+2×10
[tex]36792mm + .2mm + .0133mm[/tex]
Answer:
36792.2133
Step-by-step explanation:
36792+0.2+0.0133=36792.2133
The telephone company offers two billing plans for local calls. Plan 1 charges $29 per month for unlimited calls and Plan 2 charges $19 per month plus $0.04 per call.If you have Plan 2 for 4 months and make 20 calls a month, how much will your total bill be?
Answer:
$79.20
Step-by-step explanation:
fixed charged of $19 x 4 months = $76.00
additional charged of $0.04 x 20 = $0.80 x 4 months = $3.20
Therefore, $76.00 + $3.20 = $79.20
A point p in the first quadrant lies on the parabola y=x^2. Express the coordinates of p as a function of the angle of inclination of the line joining p to the origin
Answer:
The coordinates of the point p are: [tex](x,xtan\alpha )[/tex]
Explanation:
1. Name the angle of inclination of the line joining p to the origin α.
2. Find the relation between the coordinates of the point (x,y)
When you draw a line from the origin to the parabola, the intersection point, p(x,y) will have coordinates (x,y).
As per the definition of the tangent trigonometric ratio you have:
[tex]tan\alpha =\frac{y}{x}[/tex]From which you can clear y:
[tex]y=xtan\alpha =>(x,y)=(x,xtan\alpha )[/tex]Which is the expression of the coordinates of p as a function of the angle of inclination of the line joining p to the origin.
A) Miss Brown is reading two books every three weeks she has read 12 Books so far how many weeks has she been reading so far ? B) If Miss Brown wants to finish reading 12 books in 15 weeks what would you tell her to change?
Ms. Brown has been reading for 18 weeks so far.
To find out how many weeks Ms. Brown has been reading so far, we can set up a proportion based on the rate at which she reads books.
Ms. Brown reads 2 books every 3 weeks, so we can write this as the ratio:
[tex]\[ \frac{2 \text{ books}}{3 \text{ weeks}} \][/tex]
Now, we can set up a proportion to find out how many weeks she has been reading to reach a total of 12 books.
Let ( x) represent the number of weeks she has been reading so far. So, we set up the proportion:
[tex]\[ \frac{2 \text{ books}}{3 \text{ weeks}} = \frac{12 \text{ books}}{x \text{ weeks}} \][/tex]
Now, we can solve for ( x ) by cross-multiplying:
[tex]\[ 2 \times x = 3 \times 12 \][/tex]
[tex]\[ 2x = 36 \][/tex]
Divide both sides by 2 to solve for ( x ):
[tex]\[ x = \frac{36}{2} \][/tex]
[tex]\[ x = 18 \][/tex]
So, Ms. Brown has been reading for 18 weeks so far.
complete question given below:
Ms. Brown is reading 2 books every 3 weeks. She has read 12 books so tar. How many weeks has she been reading so far?
On a recent day, 8 euros were worth $9 and 24 euros were worth 27.
This question is incomplete, here is the complete question:
On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.
The equation that represents the relationship between the number of euros and the value in dollars is y = 1.125 x
Step-by-step explanation:
On a resent day;
8 euros were worth $924 euros were worth $27We need to write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars
∵ The form of the equation is y = kx, where x is the number of
euros and y is the value in dollars
∵ 8 euros were worth $9
∴ (8 , 9) is an ordered pair belong to the equation
∵ 24 euros were worth $27
∴ (24 , 27) is another ordered pair belong to the equation
To find k substitute x and y in the equation by the coordinates of one of these two points
∵ x = 8 and y = 9
∵ y = kx
∴ 9 = 8k
- Divide both sides by 8
∴ 1.125 = k
- Substitute the value of k in the equation
∴ y = 1.125 x
To check the equation substitute x by the x coordinate of the 2nd point if it gives the same value of the y-coordinate of the point then the equation is true
∵ x = 24
∵ y = 1.125 x
∴ y = 1.125(24)
∴ y = 27 the same value of the y-coordinate of the point
∴ The equation is true
The equation that represents the relationship between the number of euros and the value in dollars is y = 1.125 x
Learn more:
You can learn more about the linear equation in brainly.com/question/4326955
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$132 in the ratio 2 : 3 : 6
Answer:
24:36:72
Step-by-step explanation:
multiply 2,3,and 6 by 12 and you got the ratio 24:36:72, which adds to 132
What is 3y-12=4x+8 in Point-Slope form and graphed but the line needs to pass through (-2,4)
Answer:
The equation of the line in point slope form is equal to
[tex](y-4)=\frac{4}{3}(x+2)[/tex]
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a line in point-slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]3y-12=4x+8[/tex]
Convert to point slope form
Factor 3 left side and factor 4 right side
[tex]3(y-4)=4(x+2)[/tex]
Divide by 3 both sides
[tex](y-4)=\frac{4}{3}(x+2)[/tex]
In this equation
the point is (-2,4)
the slope is [tex]m=\frac{4}{3}[/tex]
using a graphing tool
The graph in the attached figure
What is the equation to this graph????
Answer:
y=3x
Step-by-step explanation:
The slope of this graph is 3.
Shelly wanted to buy a shirt for $25 and a skirt for $20.When she got to the check out stand, they added 8% tax to her total. About how much tax did she pay?
Answer:
$3.60
Step-by-step explanation:
25+20=45 (because you need the tax of both)
0.8(45)=3.60 (finding the tax amount)
What is the percent of 108 is 81
Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the n^th term
5th term is 0;
50 term is - 135
Dustin always takes the same route when he walks his dog. First, he walks 6 blocks to the park. Then he walks 4 blocks to the elementary school. Finally, he walks 7 blocks to get back home. Dustin walks his dog 3 times each day. How many blocks does Dustin's dog walk each day?
Answer:
51
Step-by-step explanation:
add them altogether then times by 3
Find the inequality represented by the graph
Answer:
[tex]y\leq -\frac{1}{3}x+1[/tex]
Step-by-step explanation:
Given:
From the graph, the x and y intercepts are at the points (3, 0) and (0, 1) respectively.
Now, for a line with two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex], the slope is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, [tex](x_1,y_1)=(3,0)\ and\ (x_2,y_2)=(0,1)[/tex]. Therefore,
[tex]m=\frac{1-0}{0-3}=-\frac{1}{3}[/tex]
Now, y-intercept is [tex]b=1[/tex]
Therefore, the standard form of a line is of the form: [tex]y=mx+b[/tex]. So, the equation of the line on the graph is:
[tex]y=-\frac{1}{3}x+1[/tex]
Now, from the graph, the region is below the line including all the points on the line. Therefore, the inequality used is less than or equal to. This gives,
[tex]y\leq -\frac{1}{3}x+1[/tex]
Please find the answer and explain how you got it
Answer:
m∠NQP=74°
Step-by-step explanation:
we know that
The measure of the interior angles in a triangle must be equal to 180 degrees
In this problem
In the triangle NPQ
m∠N+m∠P+m∠Q=180°
we have
m∠N=(2x)°
m∠P=(34)°
m∠Q=(2x+2)°
substitute the values
[tex](2x)\°+(34)\°+(2x+2)\°=180\°[/tex]
solve for x
[tex](4x+36)\°=180\°[/tex]
[tex]4x=180-36[/tex]
[tex]4x=144[/tex]
[tex]x=36[/tex]
Find the measure of angle NQP
we know that
m∠NQP=m∠Q=(2x+2)°
substitute the value of x
m∠NQP=(2(36)+2)=74°
what are the constant of proportionality for these two tables
Solve
2x + 3y =2/3
3x - 4y = 18
Answer:
[tex]\displaystyle [3\frac{1}{3}, -2][/tex]
Step-by-step explanation:
{2x + 3y = ⅔
{3x - 4y = 18
¾[3x - 4y = 18]
{2x + 3y = ⅔
{2¼x - 3y = 13½
____________
[tex]\displaystyle \frac{4\frac{1}{4}x}{4\frac{1}{4}} = \frac{14\frac{1}{6}}{4\frac{1}{4}} \\ \\[/tex]
[tex]\displaystyle x = 3\frac{1}{3}[/tex][Plug this back into both equations above to get the y-coordinate of −2]; [tex]-2 = y[/tex]
I am joyous to assist you anytime.
The system of equations is solved using the elimination method. By multiplying the equations to align the coefficients and adding them to eliminate y, x is found to be 3.3333. Plugging x back into one of the original equations then gives y as -2.0000.
Explanation:To solve the system of equations:
2x + 3y = 2/33x - 4y = 18we can use the method of substitution or elimination. Let's use elimination in this case:
First, we multiply the first equation by 4 and the second equation by 3 so that the coefficients of y have the same magnitude but opposite signs:
(4)(2x + 3y) = (4)(2/3) → 8x + 12y = 8/3(3)(3x - 4y) = (3)(18) → 9x - 12y = 54Next, we add the two equations together to eliminate y:
8x + 12y + 9x - 12y = 8/3 + 54
17x = 54 + 8/3
17x = 54 + 2.6667
17x = 56.6667
Now we divide both sides by 17 to solve for x:
x = 56.6667 / 17
x = 3.3333
With x found, we can now substitute it back into one of the original equations to find y. We'll use the first equation for this example:
2x + 3y = 2/3
Substitute x:
2(3.3333) + 3y = 2/3
6.6666 + 3y = 2/3
3y = 2/3 - 6.6666
3y = -6.0000
Now divide both sides by 3 to solve for y:
y = -6.0000 / 3
y = -2.0000
The solution to the system is x = 3.3333 and y = -2.0000.
Please help!!
In the triangle below, what is the cosine of 60°?
30
Ο
-
-
Ο
Ο
-
Ο
ω
Answer:
C. 1/2
Step-by-step explanation:
SOHCAHTOA
Cosine is adjacent over hypotenuse. For the angle that is 60 the adjacent is 1 and the hypotenuse is 2.
How much change does he need to receive back
Answer:
Damien will receive a change of [tex]\$4.69[/tex]
Step-by-step explanation:
Given:
Pair of jeans = $33
Sales tax = 7%
Money paid as Sales tax = 7% of sale done on pair of jeans = [tex]\frac{7}{100}\times \$33 = \$2.31[/tex]
Total amount paid = 40
We need to find the amount he will receive back
Amount receive back can be calculated by Total amount paid minus Amount for pair of jeans minus money paid as Sales Tax
Change amount received = Total amount paid - Amount for pair of jeans - money paid as Sales Tax = [tex]\$40 - \$33-\$2.31 = \$ 4.69[/tex]
Hence Damien will receive a change of [tex]\$4.69[/tex]
find the equation of the line that has a slope of -1 and passes through the point (2,1)
Answer:
y-1=-x+2
Step-by-step explanation:
m=-1
y-1=-1(x-2)
y-1=-x+2
jay spent 3/8ths of his life working for a company, if jay has been working for his current company for 15 years, how old is he ?
Answer:
40
Step-by-step explanation:
if 3/8 equals 15 that means 1/8 equals 5 because 15/3=5. now if we multiply 5 by 8 then we get 40 years
If jay has been working for his current company for 15 years, then his age is 40 years.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, jay spent 3/8ths of his life working for a company and he has been working for his current company for 15 years.
Assuming Jay's age to be x years.
∴ (3/8) of x is 15 years.
(3/8)x = 15.
x = 15×(8/3).
x = 40.
So, Jay's age is 40 years.
learn more about fractions here :
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20 points for this question
Find the least common multiple of x-1 and 1-x
Good evening ,
Step-by-step explanation:
we know that, x-1 = (-1)×(1-x) and 1-x=(-1)×(x-1)
then each of 1-x and x-1 is a multiple of the other one,
if x>1 then x-1>0 and 1-x<0 then x-1>1-x
therefore in this case the least common multiple of x-1 and 1-x is x-1.
if x<1 then x-1<0 and 1-x>0 Then 1-x>x-1
therefore in this case the least common multiple of x-1 and 1-x is 1-x.
:)
Choose all that are correct given the equation: y=1/4 x + 9
A.y=7.25 when x = -7
B.y=7 when x = -8
C.y=8.5 when x =-4
D.y=10.25 when x = 5
Answer: Option A, Option B, Option D.
Step-by-step explanation:
Let's check each option.
A. Substitute [tex]x=-7[/tex] into the equation and evaluate in order to find the value of "y". This is:
[tex]y=\frac{1}{4}x + 9\\\\y=\frac{1}{4}(-7) + 9\\\\y=7.25[/tex]
B. Substitute [tex]x=-8[/tex] into the equation and evaluate in order to find the value of "y". Then:
[tex]y=\frac{1}{4}x + 9\\\\y=\frac{1}{4}(-8) + 9\\\\y=7[/tex]
C. Substitute [tex]x=-4[/tex] into the equation and evaluate to find the value of "y":
[tex]y=\frac{1}{4}x + 9\\\\y=\frac{1}{4}(-4) + 9\\\\y=8[/tex]
D. Substitute [tex]x=5[/tex] into the equation and then evaluate in order to find the value of "y". You get that this is:
[tex]y=\frac{1}{4}x + 9\\\\y=\frac{1}{4}(5) + 9\\\\y=10.25[/tex]
Then, the correct options are: Option A, Option B, Option D.
Juanita organizes her magazines into 3 equal piles. She has a total of 18 magazines. How many magazines are in each pile
Final answer:
Juanita has 18 magazines and wants to divide them into 3 equal piles. By dividing the total number of magazines (18) by the number of piles (3), we find that there will be 6 magazines in each pile.
Explanation:
The question asked by the student is a simple division problem in which Juanita needs to organize her magazines into 3 equal piles, and she has a total of 18 magazines. To find out how many magazines are in each pile, we divide the total number of magazines by the number of piles.
To solve this, we perform the following calculation:
Write down the total number of magazines: 18Write down the number of piles: 3Divide the total number of magazines by the number of piles: 18 \/ 3 The result is the number of magazines per pile.So, the calculation is 18 \/ 3 = 6 magazines per pile.
Assume that a varies directly as b. What is the constant of proportionality if a = 8 when b = 2?
k = 16
k = 4
k=1/4
k=6
Answer:
k = 4
Step-by-step explanation:
Given that a varies directly as b then the equation relating them is
a = kb ← k is the constant of variation
To find k use the condition a = 8 when b = 2
k = [tex]\frac{a}{b}[/tex] = [tex]\frac{8}{2}[/tex] = 4
Answer:
K = 4
Step-by-step explanation:
Given that varies a directly as b then the equation relating them is
Simply implies that a is directly proportional to b, that is increase in a will cause increase in, and decrease in a will cause decrease in b, and vice versa, where k remains constant.
a α b
a = kb, where k is constant
To find k use the condition a = 8 when b = 2, we make k the subject of the formular
K = a/b
K = 8/2
K = 4