Answer:
The measurement which Jane finds to be 10 meters is the length of the banner.
Step-by-step explanation:
The measurement of 10 meters which Jane found after measuring how long the banner is before painting is the LENGTH of the banner.
This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.
It is possible to find the AREA, or PERIMETER, or LENGTH.
But what she finds is the LENGTH of the banner. If it was Area or Perimeter, the unit would have been square meters.
Answer:
length
Step-by-step explanation:
for answer above: TYSM I NEEDED THAT SO BADLY i struggled with math my entire life and hardly understand when people teach math that really helped explain that problem tysm!!!
It costs 100 dollars for 20 cookies. +
What is the price of one cookie?
Answer:
$5
Step-by-step explanation:
First you divide the 2 numbers you know.
100/20= 5
And if your not sure then you can multiply it.
5x20=100
A butcher shop sells ground meat in 3/4 pounds packages. If the shop has 24 pounds of meat available to sell, how many packages of ground meat are for sale ?
32 packages of ground meat are for sale
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that A butcher shop sells ground meat in 3/4 pounds packages
the shop has 24 pounds of meat available to sell,
We need to find the number of packages of ground meat are for sale .
To find this we have to divide 24 by 3/4
24/(3/4)
The denominator is multiplied to numerator by rationalising.
24×4/3
Twenty four times of fraction four by three.
32
Hence, 32 packages of ground meat are for sale
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There are 32 packages of ground meat for sale.
Explanation:To find the number of packages of ground meat for sale, we need to divide the total pounds of meat available by the weight of each package.
Given that each package weighs 3÷4 pounds and the shop has 24 pounds of meat available, we can divide 24 by 3÷4 to find the number of packages.
Dividing 24 by 3÷4 is the same as multiplying 24 by the reciprocal of 3÷4, which is 4÷3. Therefore, there are 24 × (4÷3) = 32 packages of ground meat for sale.
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X² - 24x + c
Find the answer for C.
Answer:
[tex]c=-x^{2} +24x[/tex]
Step-by-step explanation:
Subtract on both sides to isolate c.
[tex]x^{2} -24x+c\\x^{2} -24+c-c=-c\\x^{2} -24+0=-c\\x^{2} -24x=-c\\-c=x^{2} -24x[/tex]
Have c be in positive form.
[tex]-c=x^{2} -24x\\(-)(-c)=(-)(x^{2} -24x)\\c=-x^{2} +24[/tex]
f(n) = 45 • (4/5) ^n-1
The calculated common ratio of the sequence is 4/5
How to determine the common ratio of the sequence
From the question, we have the following parameters that can be used in our computation:
[tex]F(n) = 45 \cdot (\frac45)^{n - 1}[/tex]
By definition:
A geometric sequence is represented as
[tex]F(n) = ar^{n-1}[/tex]
Where, the common ratio is r
By comparison and using the above as a guide, we have the following:
r = 4/5
Hence, the common ratio of the sequence is 4/5
Question
A sequence is defined by F(n) = 45 • (4/5) ^n-1.
What is its common ratio
A teacher works for a textbook company during the summer. She makes $35 per page to write the material and $25 per page to type it. The teacher would like to earn at least $3200, but does not want more than 120 pages of work. Let "x" represent the number of pages written and "y" represent the number of pages typed. Write a system of inequalities to represent this situation.
Answer:
$35 x + $25 y ≥ $3200 x ≤ 120
Step-by-step explanation:
Because she needs to write before type the page, so that y≤x
∴ x≤120
$35 x + $25 y ≥ $3200 x ≤ 120
Final answer:
The system of inequalities for the teacher's summer work with the textbook company is 35x + 25y \\( ext{≥}) 3200, x + y \\( ext{≤}) 120, x \\( ext{≥}) 0, and y \\( ext{≥}) 0, where x is pages written and y is pages typed.
Explanation:
The system of inequalities to represent the situation where a teacher works for a textbook company during the summer, earns $35 per page for writing the material and $25 per page for typing, wants to earn at least $3200, and does not want more than 120 pages of work would be:
35x + 25y \\( ext{≥}) 3200
x + y \\( ext{≤}) 120
x \\( ext{≥}) 0
y \\( ext{≥}) 0
Here, x represents the number of pages written and y represents the number of pages typed. The first inequality ensures the teacher earns at least $3200, the second inequality ensures the total number of pages does not exceed 120, and the last two inequalities represent that the teacher cannot write or type a negative number of pages.
Mishka is on a long road trip, and she averages 75 mph for 2 hours while she's driving on the highway. While she's driving on side roads for 1 hour, she only averages 45 mph. What is the total distance that she covers on her road trip?
A.
120 miles
B.
195 miles
C.
240 miles
D.
75 miles
If she goes 75 mph for 2 hours, that's 150 miles altogether. 45 mph for 1 hour is 45 miles, so 150 + 45 is 195 miles.
The total distance that Mishka covers on her road trip is 195 miles.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To calculate the total distance covered on the road trip
we need to add the distances traveled on the highway and side roads.
Distance on the highway = speed × time
= 75 mph × 2 hours
= 150 miles
Distance on side roads = speed × time
= 45 mph × 1 hour
= 45 miles
Total distance covered = Distance on the highway + Distance on side roads = 150 miles + 45 miles
= 195 miles
Therefore, the total distance that Mishka covers on her road trip is 195 miles.
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(x+7)(x+3) polynomial standard form
Answer:
[tex] {x}^{2} + 10x + 21[/tex]
Step-by-step explanation:
[tex](x + 7)(x + 3) \\ = x(x + 3) + 7(x + 3) \\ = {x}^{2} + 3x + 7x + 21 \\ \purple{ \bold{= {x}^{2} + 10x + 21}}[/tex]
Can someone help me please?
Answer:
64°
Step-by-step explanation:
In circle with center P, AD is diameter.
[tex] \therefore m\angle DPE + m\angle APE = 180\degree \\
\therefore (33k-9)\degree + 90\degree = 180\degree \\
\therefore (33k-9)\degree = 180\degree -90\degree \\
\therefore (33k-9)\degree = 90\degree \\
\therefore 33k-9 = 90\\
\therefore 33k= 90+9\\
\therefore 33k= 99\\
\therefore k= \frac{99}{33}\\
\therefore k=3\\
m\angle CPD = (20k +4)\degree \\
\therefore m\angle CPD = (20\times 3 +4)\degree \\
\therefore m\angle CPD =(60+4)\degree \\
\therefore m\angle CPD =64\degree \\
m\overset {\frown}{CD} = m\angle CPD\\
\therefore m\overset {\frown}{CD} = 64\degree
[/tex]
what’s the probability of p(7)
Answer:
The question not complete
A set of data with 100 observations has a mean of 267. There are six outliners in the data set, which have a mean of 688 if the six outliners are removed, what is the mean of the new data set?
Answer:
272.04
Step-by-step explanation:
We must make a weighted average, as follows:
Each mean will have its weight, which would be the number of observations, therefore, the initial mean has a weight of 100.
And the final mean that we do not know its value but if its 94 (100 - 6) and the other mean that it is 688 and its weight is 6, we have the following equality:
100 * 297 = 688 * 6 + 94 * x
x would be the final mean, solving:
x = (29700 - 4128) / 94
x = 272.04
average after removing those 6 is 272.04
write 7/128 as a percentage
Answer:
0.0546875 or if we are rounding 5.47%
Step-by-step explanation:
Answer:
5.46875%
Step-by-step explanation:
To answer this, we need to find 7 divided by 128. Using a calculator, we find that it is 0.0546875. To convert a decimal to a percentage, multiply the number by 100 and put a percent sign next to it. We get 5.46875%.
Find the perimeter of the rectangle. The drawing is not to scale.
29 ft
66 ft
Answer: 190
Step-by-step explanation: The perimeter is the measurement of every side. So multiply 29 by 2 To get 58 since there is two sides with that length. You'd then multiply 66 by 2 to get 132 For the same reason, and then finally add both of those together to get 190
How many solutions are there for quadratic graphed below:
Group of answer choices
1 solution
Infinite Solutions
No solutions
2 solutions
Answer:
No solutions
Step-by-step explanation:
The graph does not contact the x axis
There are no real answers for this reason.
What is 3x+2y=15 y=6x
Final answer:
The solution to the system of equations is x = 1 and y = 6.
Explanation:
The given equations are:
3x + 2y = 15
y = 6x
To solve this system of equations, we can substitute the value of y from the second equation into the first equation:
3x + 2(6x) = 15
3x + 12x = 15
15x = 15
x = 1
Substituting the value of x into the second equation to find y:
y = 6(1)
y = 6
So, the solution to the system of equations is x = 1 and y = 6.
Which statement compares the median wind speeds for the data in the two box plots? The median wind speed for country A is greater than the median wind speed for country B. The median wind speed for country B is greater than the median wind speed for country A. The median wind speed for country A is about 7 miles per hour, and the median wind speed for country B is about 9 miles per hour. The median wind speed for each country is about 4 miles per hour. Mark this and return
Answer:
C
Step-by-step explanation:
I took the test
Ryan is using tiles in his bathroom. He chooses 1" x 2" tiles for the border and would like tiles that are similar to the border as the interior tiles. Interior tiles will be larger by scale factor of 3.5. What are the dimensions of the interior tiles?
Answer:
The area of the interior tiles must be 7 inches ² with dimensions 1.871" x 3.742".
Step-by-step explanation:
Since the interior tiles must be 3.5 larger then the border tiles to calculate the dimensions of the interior tiles we first need to find the area of the border tiles. This is shown bellow:
area border = 1*2 = 2 inches²
The area of the interior tiles is 3.5 larger than that, so we have:
area interior = 2*(area border) = 2*3.5 = 7 inches²
In order to maintain the same proportions as the border tiles we must find a width that is two times the height, so we have:
area interior = width*height = 2*height*height = 2*height²
7 = 2*height²
height² = 3.5
height = sqrt(3.5) = 1.871
width = 2*height = 2*1.871 = 3.74166
The area of the interior tiles must be 7 inches ² with dimensions 1.871" x 3.742".
The interior tiles that Ryan wants to use in his bathroom will have dimensions of 3.5 inches by 7 inches.
Ryan is using 1" x 2" tiles for the border of his bathroom and wants to use similar tiles for the interior that are larger by a scale factor of 3.5.
To calculate the dimensions of the interior tiles, you simply multiply the dimensions of the border tiles by the scale factor. Therefore, the dimensions of each interior tile will be:
2 inches (width of border tile) x 3.5 = 7 inches (width of interior tile)
Albert has £500 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 5 years. How much interest will he have earned after 5 years?
Answer:
He'll earn 125 in interest after 5 years.
Step-by-step explanation:
Since it's a simple interest rate, we can use the formula to calculate the amount of interest he'll earn in those years. We have:
C = P*i*t
Where C is the amount of interest earned, P is the initial amount invested, i is the interest rate and t is the total time elapsed. For this case we have:
C = 500*0.05*5
C = 2500*0.05
C = 125
He'll earn 125 in interest after 5 years.
Please Help! Determine the number of solutions to each system of equations.
The solution is
The equations with one solution is
y = 0.5x - 2 ; y = -0.5x + 4
y = 2x + 1 ; y = 4x + 1
The equations with no solution is
y = 0.5x + 5 ; y = 0.5x + 1
y = -x - 3 ; y = -x + 3
The equations with infinite number of solutions is
y = 3x + 2.5 ; y = 3x + 2.5
y = -x - 2 ; y = -x - 2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
y = 0.5x - 2 be equation (1)
y = -0.5x + 4 be equation (2)
On simplifying both the equations , we get
0.5x - 2 = -0.5x + 4
Adding 0.5x on both sides of the equation , we get
x - 2 = 4
Adding 2 on both sides of the equation , we get
x = 6
Substitute the value of x in equation (1) , we get
y = 1
The value of x is 6 and value of y is 1
b)
y = 0.5x + 5 be equation (1)
y = 0.5x + 1 be equation (2)
On simplifying both the equations , we get
0.5x + 5 = 0.5x + 1
Now , the equations are contradictory and there are no solution
c)
y = 2x + 1 be equation (1)
y = 4x + 1 be equation (2)
On simplifying both the equations , we get
2x + 1 = 4x + 1
Subtracting 2x on both sides of the equation , we get
2x + 1 = 1
Subtracting 1 on both sides of the equation , we get
2x = 0
x = 0
Substitute the value of x in equation (1) , we get
y = 1
Therefore , the value of x is 0 and value of y is 1
d)
y = 3x + 2.5 be equation (1)
y = 3x + 2.5 be equation (2)
On simplifying both the equations , we get
3x + 2.5 = 3x + 2.5
Therefore , the equations are similar and there are infinite number of solutions
e)
y = -x - 3 be equation (1)
y = -x + 3 be equation (2)
On simplifying both the equations , we get
-x - 3 = -x + 3
Now , the equations are contradictory and there are no solution
f)
y = -x - 2 be equation (1)
y = -x - 2 be equation (2)
On simplifying both the equations , we get
-x - 2 = -x - 2
Therefore , the equations are similar and there are infinite number of solutions
Hence , the system of equations are solved
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having some trouble helppp.
Answer:
3/5
Step-by-step explanation:
Answer:
The slope is 3/5.
Step-by-step explanation:
First remember that the formula for slope is the difference in ys / difference in xs.
m = y2 - y1 / x2 - x1
Plug in the coordinates of the two points you're given, keeping in mind that coordinates are (x,y).
m = -5 - 1 / -5 -5
m = -6 / -10
m = 6/10 = 3/5
Idk how to answer this question
Answer:
It's z^11
Step-by-step explanation:
To multiply exponents with the same base (z), you add the exponents so in this case you add 5 and 6 to get z^11
Answer:
[tex]z^{11}[/tex]
Step-by-step explanation:
[tex]z^{a} *z^{b}= z^{a+b} \\z^{5} *z^{6}= z^{5+6} = z^{11}[/tex]
The perimeter of a rectangle is 48 feet. If the length measures 16 feet, which is the width?
A. 5ft
B. 8ft
C. 10ft
D. 16ft
Answer:
B. 8ft
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w) where l is the length and w is the width
Substituting in the given values
48 = 2(16+w)
Divide each side by 2
48/2 = 2/2(16+w)
24 = 16+w
Subtract 16 from each side
24-16 =16+w-16
8 =w
What is the constant of proportionality x 1 and y 0.5
Answer:
k = 0.5
Step-by-step explanation:
Constant of Proportionality is k = y/x
k = 0.5/1 = 0.5
Jessica is buying several bunches of bananas to make desserts for a fundraiser. She can buy 10 pounds of bananas at Smiths for $14.90 or 8 pounds at Walmart for $12.08. How much would the cost per pound be at Smiths?
Answer:
$1.49 per pound of bananas at Smiths
Step-by-step explanation:
1. 10 pounds is $14.90
2. Find how much one pound costs by dividing 14.90 by 10
3. 14.90/10= 1.49
4. $1.49 per pound of bananas at Smiths
What equation represents a circle with a center at (-3, -5) and a radius of 6 units
Answer:
(x+3)^2 + (y +5)^2 = 36
Step-by-step explanation:
We can write the equation of a circle with the formula
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -3)^2 + (y - -5)^2 = 6^2
(x+3)^2 + (y +5)^2 = 6^2
(x+3)^2 + (y +5)^2 = 36
Answer:
D; (x + 3)^2 + (y + 5)^2 = 36
Step-by-step explanation:
correct on edge
The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \cos(\theta_1)=\dfrac{3}{8}cos(θ 1 )= 8 3 cosine, (, theta, start subscript, 1, end subscript, ), equals, start fraction, 3, divided by, 8, end fraction . What is the value of \sin(\theta_1)sin(θ 1 )sine, (, theta, start subscript, 1, end subscript, )? Express your answer exactly.
Answer:
[tex]\sin(\theta_1) =\frac{\sqrt{55} }{8}[/tex]
Step-by-step explanation:
The angle [tex]\theta_1[/tex] is located in Quadrant I and [tex]\cos(\theta_1)=\frac{3}{8}[/tex]
From Trigonometric ratio, In the First Quadrant
[tex]\cos \theta=\frac{Adjacent}{hypotenuse}[/tex]
Adjacent =3, Hypotenuse =8
Using Pythagoras Theorem
[tex]Hypotenuse^2=Opposite^2+Adjacent^2\\8^2=Opposite^2+3^2\\Opposite^2=64-9=55\\Opposite=\sqrt{55}[/tex]
Therefore:
[tex]\sin(\theta_1)=\frac{Opposite}{Hypotenuse}\\\sin(\theta_1) =\frac{\sqrt{55} }{8}[/tex]
What is the square root of negative 64?
Answer: 8 i
Step-by-step explanation: The square root of negative 64 is 8 i. Whenever you are finding a negative square root you need to find what times what will equal that number. 8 x 8 = 64. So the square root is 8. But, since we are finding a negative square root, the answer will be 8 i. i states that 8 is the negative square root of 64.
So the answer is 8 i.
Always add i after the number when finding negative square roots.
Pls help! I need to know if this is right! 50 points!
A small delivery company can deliver only in a small part of the city. Write an equation for the boundary where the company delivers. and find its radius.
Select the appropriate response:
A) (x+1)2+(y-1)2= 25 radius = 5 miles
B) (x-1)2+(y+1)2= 25 radius = 5 miles
C) (x+1)2+(y-1)2= 25 radius = 10 miles
D) (x-1)2+(y+1)2= 25 radius = 10 miles
Answer: B) (x-1)2+(y+1)2= 25 radius = 5 miles
Step-by-step explanation:
In order to get this answer you see that you are adding a negative to x in the first part then multiplying it by 2. Second, you add y+1 then multiplying it by 2. You get the radius of 25 which equals 5 miles. Look at the graph to also check your answers to the problem.
Answer:
B) (x-1)2+(y+1)2= 25 radius = 5 miles
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
(h,k) = (1, -1)
r = 5
(x - 1)² + (y - -1)² = 5²
(x - 1)² + (y + 1)² = 25
Identify which type of sampling is used. The name of each contestant is written on a separate card, the cards are placed in a bag, and three names are picked from the bag.
A) Stratified
B) Systematic
C) Convenience
D) Cluster
E) Simple Random
Answer: E simple random
Step-by-step explanation:
A simple random sample in a statistics is a subset of individuals chosen from a larger set. Each individual is chosen randomly and entirely by chance, such that each individual has the same probability
The type of sampling used in this scenario is simple random sampling(E), where each member of the population has an equal chance of being chosen.
Explanation:The type of sampling used in this scenario is simple random sampling(option E).
In simple random sampling, each member of the population has an equal chance of being chosen.
In this case, since the cards are placed in a bag and three names are picked, each card has an equal probability of being selected, making it simple random sampling.
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Dr. Don offers a tutoring service for college students. He charges $40 as a fixed rate for the first hour plus $20 for each additional hour. What is the minimum and maximum number of hours of tutoring a student can get if he or she can afford to spend between $140 and $200? (Express your answer as an inequality)
Answer: 6 ≤ h ≤ 9
Step-by-step explanation:
Hi, since He charges $40 as a fixed rate for the first hour plus $20 for each additional hour, the cost of the tutoring service is equal to the fixed rate(40) plus, the product of the additional hours (h-1) and the cost per additional hour (20).
40+20(h-1)
40+20h-20
20+20h
Since a student can spend between $140 and $200, the previous expression must be greater o equal than 140, and less or equal than 200.
140≤20+20h≤200
Subtracting 20
140-20 ≤20-20+20h ≤200-20
120 ≤ 20h ≤ 180
Dividing by 20
120/20 ≤ 20h/20 ≤ 180/20
6 ≤ h ≤ 9
Final answer:
The minimum and maximum number of hours of tutoring a student can get if they can spend between $140 and $200 is 5 and 8 hours, respectively.
Explanation:
To determine the minimum and maximum number of hours of tutoring a student can get, we need to set up an inequality based on the pricing information provided. Let's denote the number of additional hours beyond the first hour as x.
The total cost of tutoring will be $40 for the first hour plus $20x for each additional hour. The student can afford to spend between $140 and $200, so the inequality is:
140 ≤ 40 + 20x ≤ 200
To find the solution, we need to isolate x. First, subtract 40 from all parts of the inequality:
100 ≤ 20x ≤ 160
Next, divide all parts of the inequality by 20:
5 ≤ x ≤ 8
Therefore, the minimum number of hours is 5 (including the first hour) and the maximum number of hours is 8 (including the first hour).
HELP ME PLEASE
Match each transformation or sequence of transformations to an equivalent transformation or sequence of transformations.
a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin
arrowRight
a reflection across the x-axis and then a
reflection across the y-axis
arrowRight
a 90° clockwise rotation about the origin
and then a rotation 180° about the origin
arrowRight
A 90° counterclockwise rotation is the same as a 270° clockwise rotation. A 180° rotation is the same as a reflection across both axes. A 90° clockwise rotation is the same as a 270° counter-clockwise rotation. Two separate rotations of 90° counter-clockwise and then 180° are the same as rotations of 90° clockwise and then 180°.
Explanation:In mathematics, especially in geometry, transformations involve changing the position, size or shape of a figure. The question is about matching specific transformations or sequence of transformations to its equivalent transformation.
A 90° counterclockwise rotation about the origin is equivalent to a 270° clockwise rotation about the origin because they both result in the same final position.A 180° rotation about the origin is equivalent to a reflection across the x-axis and then a reflection across the y-axis. Both of these transformations result in the figure being flipped over the origin.A 90° clockwise rotation about the origin is equivalent to a 270° counterclockwise rotation about the origin as they both result in the same final position.A 90° counterclockwise rotation about the origin and then a 180° rotation about the origin is equivalent to a 90° clockwise rotation about the origin and then a rotation 180° about the origin because they both result in the same final position.Learn more about Geometry Transformations here:https://brainly.com/question/30165576
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