Paul is making picture frames. He wants to make at least 8 picture frames and needs 24.5 inches of material for each frame.
Write an inequality that can be used to determine how much material, x, Paul should buy.
Answers
An inequality that can be used to determine how much material, x, Paul should buy is x ≥ 196.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other.
Given:
Paul is making picture frames.
He wants to make at least 8 picture frames and needs 24.5 inches of material for each frame.
To find the total material for 8 frames:
Multiply by 8 to material for one form
24.5 x 8
= 196 inches
To write an inequality that can be used to determine how much material, x, Paul should buy:
x ≥ 196 inches.
To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more.
You must flip the inequality sign if you multiply or divide either side by a negative number.
Therefore, the inequality is x ≥ 196.
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Related Questions
How do i draw a growth triangle for the problem y= 2x-3? I have to find M and B
Answers
Using the equation y=Mx+B
One root of the equation x^2-px+q=0 is the square of the Other. Show that p^3-q(3p+1)-q^2=0
Answers
For given roots of equation x^2-px+q=0, the condition q(3p+1)-q^2=0 is proved.
What is the meaning of the term root of the equation?The values of x that satisfy the following quadratic equation ax2 + bx + c = 0 are known as its roots. They are, in other words, the values of the parameter (x) that satisfy the equation. The roots of such a quadratic function are indeed the x-coordinates of the function's x-intercepts. Because the degree of such a quadratic equation is two, it can only have two roots.For the given equation;
x^2-px+q=0
Let one roots of the equation be 'α'.
Then, other roots is the square of first; 'α²'.
The relation sum between the roots is;
α + α² = -coefficient of x
α + α² =-(-p)
α + α² = p .....eq1
And, the product of roots is,
α×α² = constant
α³ = q .....eq 2
From eq 1.
α + α² = p
Then, for the proof; p^3-q(3p+1)-q^2=0
α³ (α³ - 1 - 3(α² + α)) = 0
p^3 - q(3p+1) - q^2 = 0
Thus, for given roots of equation x^2-px+q=0, the condition q(3p+1)-q^2=0 is proved.
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Cassandra has a rectangular Panto in her backyard the painter is 12.74 m long and 5.45 m wide round the length and width to the nearest whole number then estimate the perimeter of cosines is Pantel write an equation to model your work
Answers
The perimeter of the rectangular Panto will be 38 meters.
How to calculate the perimeter?It is important to note that the perimeter of a rectangle is calculated as:
= 2(length + width)
In this case, Cassandra has a rectangular Panto in her backyard the painter is 12.74 m long and 5.45 m wide.
We are told to convert the dimensions to the nearest whole numbers. This will be 13m and 6m. Therefore, the perimeter will be:
= 2 (length + width)
= 2 13 + 6)
= 2(19)
= 38m.
The perimeter is 38m.
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During science class, groups measure out different volumes of vinegar. The line plot below shows the amount of vinegar used by 12 1212 groups, rounded to the nearest 1 2 mL 2 1 mLstart fraction, 1, divided by, 2, end fraction, start text, space, m, L, end text. 4 4 4 1 2 4 2 1 5 5 5 1 2 5 2 1 6 6 6 1 2 6 2 1 7 7 7 1 2 7 2 1 8 8 A line plot labeled 4 to 8 with tick marks every one-half unit labeled with a tick mark and number. Above tick mark four and one-half there is a column of two dots. Above tick mark 5 there is a column of three dots. Above tick mark six and one-half there is a column of two dots. Above tick mark 7, there is a column of two dots. Above tick mark seven and one-half, there is a column of three dots. What is the total amount of vinegar, in milliliters, used by the 3 33 groups that used the most? mL mL
Answers
Answer:
22 1/2
Step-by-step explanation:
The store is selling a shirt that costs $32. You have a couponfor 10% off. How much will the shirt cost after you use thecoupon?
Answers
The cost of the shirt = $32
Reduction percentage = 10%
Therefore, the reduction is,
\(\frac{10}{100}\times32=3.2\)The cost of the shirt is
\(32-3.2=28.8\)The cost of the shirt after using the coupon is $ 28.8.
ls x=5 a linear function?
Answers
Function cannot be a vertical line; do vertical line test
10 points plssssss!!!
Answers
Answer:
A. rectangle
B. any of triangle, quadrilateral, pentagon, hexagon
Step-by-step explanation:
A. A plane perpendicular to the base will intersect 2 adjacent or 2 opposite lateral faces, as well as the two bases. Each plane intersected will result in an edge of the cross sectional figure. The figure will have two pairs of parallel edges, so is a rectangle.
__
B. If the intersecting plane is not constrained to be perpendicular to the base(s), it can intersect 3, 4, 5, or all 6 faces of the prism. Hence, the shape of the cross section can be any of ...
trianglequadrilateralpentagonhexagonExpress 50grams into ounces
Answers
Answer:
1.7637
Step-by-step explanation:
Welcome to 50 grams to ounces. If you have been wondering about how many ounces in 50 grams, then you are perfectly right here. 50 grams can also be written as 50 g, and the symbol for ounces is oz. In other words, this article is about the conversion of 50 g to oz, to the unit international avoirdupois ounce to be exact, but we also explain you the conversion into the international troy ounce. Read on to learn everything about 50 grams in ounces.
To change 50 g to oz divide the mass in grams by 28.349523125. The 50 grams to ounces formula is [oz] = [50] / 28.349523125. Thus, we get (all results rounded to 2 decimals):
50 g to oz = 1.76 oz
50 g to ounces = 1.76 ounces
50 grams to ounces = 1.76 oz
Fifty grams to ounces equal 1.76 international avoirdupois ounces, the unit used to measure grocery products (mass) in retail stores in the United States for example.
The result also applies to 50 g in oz for dry foods in bulk, but is not valid for liquids, whose volumes are measured in fluid ounces: 50 grams to ounces ≠ 50 grams to fluid ounces.
Finally, 50 grams to troy ounces results in 1.61 oz as the formula is [troy oz] = [50] / 31.1034768. Thus, 50 gram gold to ounces is 1.61 international troy ounces when converted.
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You randomly select 500 students and observe that 85 of them smoke. Estimate the probability that a randomly selected student smokes.
a. 0.27
b. 0.50, since there are two possible outcomes for every student surveyed. smoke, don't smoke
c. 0.17
d. 1.2
Answers
Option C is the correct answer. 0.17 is the probability that a randomly selected student smokes out of 500 students, given 85 smoke.
By dividing the total number of students observed (500) by the number of students who smoke (85) in this scenario, it is possible to estimate the probability of smoking among the 500 students.
This results in a ratio of 0.17, or 17%. The estimated likelihood that a randomly chosen student smokes is therefore 0.17, meaning that roughly 17 out of every 100 students in the population smoke. It is crucial to remember that this is only an estimate, and the true probability could change slightly depending on the size and sampling method.
The estimated probability does, however, have a tendency to converge to the true probability when the sample size is sufficient.
Hence, the probability that a randomly selected student smokes is 0.17
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The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answers
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
please please please help me my teacher has no idea how to reach and i desperately need to know this :D
Answers
The completed blanks in Nyala's solution that is used to prove that the measure of angle x is 40° is as follows;
If we perform a 180° rotation about the point O the following happens
Ray \(\overleftrightarrow{EF}\) maps unto ray \(\overleftrightarrow{GH}\)
Ray \(\overleftrightarrow{GH}\) maps unto ray \(\overleftrightarrow{FE}\)x
\(\overleftrightarrow{FG}\) maps unto itself
Therefore, the image of angle x will be exactly where the pre-image of 40° was. Since rotation preserve angle measure, the measure of angle x must be 40°.
What is the measure of an angle?The measure of an angle is the degree of rotation between the initial side and the terminal side of the angle.
The details of the method Nyala used to prove that the measure of the angle x is 40° can be found as follows;
The rotation of a line 180° about the center of the line maps onto itself, and the rotation of a line about a non colinear point, is parallel to the original line.
Whereby the center of rotation of the line \(\overleftrightarrow{EF}\) is equidistant from both the line \(\overleftrightarrow{GH}\) which is parallel to the line \(\overleftrightarrow{EF}\), the image of the line \(\overleftrightarrow{EF}\) maps to the line \(\overleftrightarrow{GH}\) following a 180° rotation about the point O, and the rotation of the line \(\overleftrightarrow{FG}\) about the point O maps unto itself, such that the angle x maps to the angle 40°, therefore;
∠x ≅ 40° (A rotation transformation is a rigid transformation)
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Tigran drove
2/5
of a 150 mile trip in the first hour of driving. In the second hour of
5/6
of the remaining miles. What part of the whole trip did Tigran
travel during these two hours?
driving, he traveled
Answers
The required Tigran traveled 9/10 of the whole trip during these two hours.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
Here,
In the first hour, Tigran drove 2/5 * 150 miles = 60 miles.
The remaining distance after the first hour is 150 miles - 60 miles = 90 miles.
In the second hour, Tigran drove 5/6 * 90 miles = 75 miles.
So in total, Tigran traveled 60 miles + 75 miles = 135 miles during these two hours.
To find the fraction of the whole trip that Tigran traveled during these two hours, we divide the total distance traveled by the whole trip distance:
135 miles / 150 miles = 9/10
Therefore, Tigran traveled 9/10 of the whole trip during these two hours.
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I need help on this one
Help asp please
Answers
2: (-3,5)
3: (4,-2)
Answer:
(-2, -4)
(-3, 5)
(4, -2)
Step-by-step explanation:
Have a wonderful day! :)
Some please help me!!!!!!!!!!:(
Answers
Answer:
ad fk kcfj dlajk jk djkfa ejk fks e
Step-by-step explanation:
Twenty five more than twice a number is fifty five. What is the number?
Answers
25 + 2x = 55
2x = 30
x = 15
The number is 15
Answer:
Step-by-step explanation:
If the number is 15 then twice is 30 then add 25 = 30 + 25 = 55
(F.LE.5} The function f(x) = 7.75x models the amount of money that Jimearns for each hour of work. What does the value "x" stand for?A. There is no initial amount of money he gets paid prior to startingB. His hourly wageC. His total amount he gets paid for the day D. The number of hours Jim has worked
Answers
Explanation
Given the model
\(f(x)=7.75x\)The value of x signifies the number of hours Jim has worked.
Answer: Option D
Solve....3(x+3)=-4x+30
Answers
Answer:
x=3
Step-by-step explanation:
Hey there!
In order to solve this equation, we must first distribute the 3
3x + 9 = -4x + 30
Now we combine like terms
7x = 21
Then we divide both sides by 7 to get x by itself
x = 21/7
x = 3
Answer: x=3
Step-by-step explanation:
To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.
3(x+3)=-4x+30 [distribute]
3x+9=-4x+30 [add both sides by 4x]
7x+9=30 [subtract both sides by 9]
7x=21 [divide both sides by 7]
x=3
Therefore, we get x=3.
Solve the equation 5x-8=57
Answers
Answer:
X = 13
1. Add 8 to both sides of the equation
5
add 8 to both sides
5x=65
divide both sides by 5
x=13
The midpoint of \overline{\text{AB}} AB is M(7, -7)M(7,−7). If the coordinates of AA are (8, -6)(8,−6), what are the coordinates of BB?
Answers
Using the formula for the midpoint of the line with given points A and B as the end points of the line, the coordinates of the point B is (6,-8).
How do you find the midpoint of a line segment?To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.
What is the formula for finding the midpoint of a line segment?
The formula for finding the midpoint of a line segment is:
Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )
Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.
Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line, and using the midpoint formula for a line AB,
Midpoint(M) = \((\frac{x1+x2}{2},\frac{y1+y2}{2} )\)
where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B
so , (7,-7) = \((\frac{8+x2}{2} , \frac{-6+y2}{2})\)
equating the corresponding points,
7 =(8+x2)/2
therefore, x2 = 6
and , -7 = (-6+y2)/2
therefore , y2 = -8
Hence the coordinates of B is , (x2,y2 ) = (6,-8)
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The graph of a power function in the form y = abˣ is shown below. Which of the following must be true about the values of a and b
a < 0 and b is odd
a > 0 and b is odd
a < 0 and b is even
a > 0 and b is even
Answers
Answer:
sorry i dont know this answer
If function f has zeros at -3 and 4, which graph could represent function f?
Answers
What is the value of y when x = 2?
Answers
Answer:
where the problem tho?
Step-by-step explanation:
The value of y when = 2 will be 16.
This is an incomplete question as you didn't provide the complete expression. Therefore, an equation will be provided to solve the question. For example, let's say the equation will be:
y = 2x³
Now based on the information given, let's say x = 2. Then m, we'll put the value of x into the equation and this will be:
y = 2x³
y = 2 × 2³
y = 2 × 8
y = 16
Therefore, the value of y when x = 2 is 16.
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ITS TIMED HELP ASAP PLES
What is the following product?
45
0 )
(2)
0 (-)
Answers
Answer:
Step-by-step explanation:
it's c
3^3 * 2^3*5
A rectangle with a perimeter of 40 inches has a width that is 3 times the length. What is the length And the width
Answers
The Length is 5 inches and the Breadth is 15 inches
What is Perimeter?
A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.
Solution:
Perimeter of Rectangle = 2*(Length + Breadth)
According to the question
Breadth = 3*Length
Perimeter = 40
40 = 2*(Length + 3*Length)
20 = 4*Length
Length = 5 inch
Breadth = 15 inch
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Which has a greater effect on the volume-changing the radius by a given amount or changing the height by the same amount? Why?
Answers
Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.
What is the y-intercept of function f?
A. 1
B. -1
C. -2
D. 5
Answers
Answer:
1
Step-by-step explanation:
The y intercept is when x =0
We need to use the second equation
-x+1 since -2 < 0 <3
0+1
The y intercept is 1
May i have some help please?
Answers
Answer:
a+b=5/2a, a+b=5/3b
Step-by-step explanation:
1.2a=0.8b
6/5a=4/5b
6a=4b
b=3/2a, a=2/3b
a+b=3/2a+a
a+b=5/2a
a+b=2/3b+b=5/3b
what is the price of a 12 dollar game 30% off
Answers
Answer:
$8.40
Step-by-step explanation:
12x.30=3.6
12-3.6=$8.40
Answer:
8.4
Step-by-step explanation:
30% of 12 = 3.6
12 - 3.6 = 8.4
Cesar, Carlos, David, and Edwin decided to have a push-up contest. The following table describes the push-up speeds of the four boys. Which boy has the fastest speed?
Answers
Answer:
Edwin (55 push-ups per minute)
Step-by-step explanation:
We need to find the actual number of pushups per one minute in order to compare them on the same base (per ONE minute). So we do"
Cesar: 200 / 4 = 50 pu/min
Carlos: 240 / 5 = 48 pu/min
David: 150 / 3 = 50 pu/min
Edwin: 110 / 2 = 55 pu/min
Therefore, Edwin is the fastest since he does more pushups per minute.
Rewrite 2/5 : 1/15 as a unit rate
6.1
Answers
Answer:
Step-by-step explanation:
\(\frac{2}{5} : \frac{1}{15}\\\)
LCM of the denominator = LCM ( 5 , 15 ) = 15
∴ Now we have to multiply LCM by both the fractions , we get ,
\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)