Answer:
24 inches
Step-by-step explanation:
To find the longest possible length of the shorter pieces that Terri can saw, you need to find the greatest common factor (GCF) of the three original lengths: 30 inches, 48 inches, and 72 inches.
The GCF of 30, 48, and 72 can be found by finding the prime factorization of each number and taking the lowest exponent for each prime factor.
30 = 2 * 3 * 5
48 = 2^4 * 3
72 = 2^3 * 3^2
The GCF is 2^3 * 3 * 5, or 24 inches. Therefore, the longest possible length of the shorter pieces that Terri can saw is 24 inches.
Hello,
I hope you and your family are doing well!
To find the GCF is to use the Euclidean algorithm, which involves repeatedly dividing the larger of the two numbers by the smaller one until the remainder is 0. This can be a quicker method for finding the GCF of larger numbers.
For example:
72 / 30 = 2 with a remainder of 12
30 / 12 = 2 with a remainder of 6
12 / 6 = 2 with a remainder of 0
The last non-zero remainder is 6, so the GCF is 6.
Regardless of the method used, the GCF of 30, 48, and 72 is 6, so the longest possible length of the shorter pieces that Terri can saw is 6 inches.
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three less than the sum of x and y
Answer:
X+Y-3
Step-by-step explanation:
I don’t know what X/Y is, but “three less than” means you need to subtract 3 from the sum of X+Y
Which is a counterexample of the following conditional?
"If a number is divisible by seven, then it is odd."
28
21
7
1
28 is a counterexample of the conditional "If a number is divisible by seven, then it is odd." since 28 is divisible by 7 but is even.
Describe Odd numbers?Odd numbers are a type of integer that are not divisible by 2. They are characterized by having a remainder of 1 when divided by 2. Odd numbers can be represented by the formula 2n+1, where n is any integer.
Odd numbers continue indefinitely in both directions on the number line.
Odd numbers play an important role in many areas of mathematics, including number theory, algebra, and geometry. For example, they are often used in proving mathematical theorems and in constructing mathematical models.
Odd numbers also have some practical applications. For example, they can be used to represent the number of items in a group, such as the number of people in a room or the number of apples in a basket. Odd numbers are also used in some programming languages to control the flow of code and make decisions based on conditions.
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It took Jesse 195 minutes to write an essay for school.
How many hours did it take Jesse to write the essay for
school?
Answer: 3 hours and 15 minutes
Step-by-step explanation:
Answer:
Time taken by Rahm to write the essay and finish the science project = 12.5 hours
Step-by-step explanation:
Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.
Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours
I NEED HELP ASAP!! like now
Answer:
1) exponent
2) base
3) power
4) order of operations
5) algebraic expression
6) evaluating
7) like terms
8) variable
A carpenter builds a rectangular bookcase that is 115 cm long and 76 cm tall. The carpenter uses two braces along the diagonals to support the bookcase. What is the length of the one of the braces, to the nearest tenth of a centimeter? Enter your answer as a decimal in the box.
Therefore, one of the rectangle braces measures 137.3 cm to the closest tenth of a centimetre.
What is a rectangle ?A rectangle is a rectangle with four perpendicularly in the Euclidean plane. It is also known as an apparent equal-sided rectangle or an equiangular parallelogram. Another option for the trapezoid is a straight angle. A square has four edges that are the same length. Quadrilaterals that are rectangular have four identical sides and 4 90° edges. As a result, it is sometimes referred to as a "rectangular trapezoid".
Here,
the vertical brace serves as the hypotenuse of a right triangle, which has the bookcase's sides serving as its legs. The diagonal brace's length can be determined as follows:
length of diagonal brace
=> √(length² + height²)
When we enter the numbers from the problem, we obtain:
length of diagonal brace
= >√(115² + 76²) ≈ 137.3 cm
Using the closest tenth of a centimetre as a guide, we obtain:
diagonal brace length: 137.3 centimetres
As a result, one of the braces measures 137.3 cm to the closest tenth of a centimetre.
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Find the surface area
Check the picture below.
so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)
so now let's get the areas of those triangles and those rectangles.
\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)
7 cameras cost $308. The cost of each camera is the same. What is the cost of each camera?
Answer:
$44
Step-by-step explanation:
Hello!
It said that 7 cameras cost $308, right?
If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:
7x = 308.
If 7x = 308, it would be
308/7 =
44.
So, $44 is the answer.
Belinda is altering dance costumes for an upcoming recital. The number of costumes
she can alter varies directly with the amount of time spent working. If Belinda can
alter four costumes in one hour, find the number of costumes she can alter in four
and a half hours.
Answer: c
Step-by-step explanation: the equation asks for the divison of the two equal libruims and u subtract the numeriator by the scound stance
The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
The equation to show the perimeter of the rectangle is P = 2(2w + 5)
Writing an equation to show the perimeter of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Length = 5 more than the width
Also, we have
Perimeter = 58
This means that
P = 2(w + 5 + w)
P = 2(2w + 5)
Calculating the dimensions and the areaIn (a), we have
P = 2(2w + 5)
This gives
2(2w + 5) = 58
So, we have
2w + 5 = 29
2w = 24
w = 12
Next, we have
l = 12 + 5
l = 17
Lastly, we have
Area = 17 * 12
Area = 204
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Why should I probably get my first credit card from the same institution that has my checking and/or savings account?Because building a relationship with a financial institution makes good OA sense You should not. You should get your first card at one of those really cool OB. student websites. A better idea is to pick your credit card company based on which gift I like Oc the best. OD Because local institutions offer better gifts
I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
What is a credit card?The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.
However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.
Now, I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
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URGENT HELP ONLY ALLOW RIGHT ANSWER
Answer:
(2,9)
That's where the maximum is at making it the vertex
I'd appreciate it if you gave me branliest
pls help me giving brainless.
Answer:
five and three ninths
six and seven tenths
nine and one fifth
NO LINKS!! URGENT HELP PLEASE!!!
9. Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)
Answer:
y= -x²-4x+2
Step-by-step explanation:
write in vertex form
a(x-h)²+k
in our case h = -2 and k= 6
y=a(x+2)²+6
now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a
-3= a(1+2)²+6
-9=9a
a= -1
thus the formula is -(x+2)²+6
generally, teachers want things in standard form, so expand the exponent and simplify.
-(x²+4x+4)+6
y= -x²-4x+2
Answer:
\(y = -x^2 - 4x + 2\)
Step-by-step explanation:
The equation of a parabola in vertex form is:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex of the parabola.
In this case, the vertex is (-2, 6), so h = -2 and k = 6.
We also know that the parabola passes through the point (1, -3).
Plugging these values into the equation, we get:
\(-3 = a(1 - (-2))^2 + 6\)
\(-3 = a(3)^2 + 6\)
-9 = 9a
a = -1
Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:
\(y = -1(x + 2)^2 + 6\)
This equation can also be written as:
\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)
Choose the inverse of y = x2 – 10x.
Answer:
The inverse is 5±sqrt(x+25)
Step-by-step explanation:
y = x^2 - 10x
To find the inverse, exchange x and y and solve for y
x = y^2 -10y
Complete the square
x+25 = y^2 -10y +25
x+25 = (y-5)^2
Take the square root of each side
±sqrt(x+25) = y-5
Add 5 to each side
5±sqrt(x+25) = y
The inverse is 5±sqrt(x+25)
Answer:
\(y=\pm\sqrt{x+25}+5\)
Step-by-step explanation:
Given function:
\(y=x^2-10x\)
Rearrange to make \(x\) the subject.
First, complete the square by adding 25 to both sides and factoring:
\(y+25=x^2-10x+25\)
\(y+25=(x-5)^2\)
Square root both sides:
\(\pm\sqrt{y+25}=x-5\)
Add 5 to both sides:
\(x=\pm\sqrt{y+25}+5\)
Finally, swap \(x\) and \(y\) (since the inverse of a function is its reflection in the line \(y = x\))
\(y=\pm\sqrt{x+25}+5\)
Perform the indicated operation.
Answer:
√75 = 5√3 and √12 = 2√3 so √75 + √12 = 5√3 + 2√3 = 7√3.
Answer:
\( 7\sqrt{3} \)
Step-by-step explanation:
\( \sqrt{12} \: can \: be \: simplified \: as \: 2 \sqrt{3} \: and \: \sqrt{75} \: canbe \: simplified \: as \: 5 \sqrt{3} \\ after \: simplifying \: we \: can \: add \: them \: up \\ 2 \sqrt{3} + 5 \sqrt{3} = 7 \sqrt{3} \)
zoe has earned 650$ during the four weeks she worked at the rec center. the first 2 weeks she earned 220$ and 98$. the last 2 weeks she earned the same amount. how much money did zoe earn in the last 2 weeks
Answer:
The wording of this question was really confusing, but I believe the answer is 166 dollars.
Step-by-step explanation:
$220+ $98= $318
650-318=332
332/2=166
A net of a rectangular prism is shown.
A net of a rectangular prism with dimensions 7 centimeters by 3 and three-fifths centimeters by 2 and two-fifths centimeters.
What is the surface area of the prism?
Answer:
The surface area of a rectangular prism is calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width and h is the height.
In this case, the length is 7 cm, the width is 3 and three-fifths cm (or 3.6 cm), and the height is 2 and two-fifths cm (or 2.4 cm). Plugging these values into the formula gives us a surface area of 2(7) (3.6) + 2(7) (2.4) + 2(3.6) (2.4), which simplifies to 50.4 + 33.6 + 17.28, or 101.28 square centimeters.
So, the surface area of this rectangular prism is 101.28 square centimeters.
Received message. The surface area of a rectangular prism is calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is `2lw + 2lh + 2wh`, where `l` is the length, `w` is the width and `h` is the height. In this case, the length is 7 cm, the width is 3 and three-fifths cm (or 3.6 cm), and the height is 2 and two-fifths cm (or 2.4 cm). Plugging these values into the formula gives us a surface area of `2(7)(3.6) + 2(7)(2.4) + 2(3.6)(2.4)`, which simplifies to `50.4 + 33.6 + 17.28`, or **101.28 square centimeters**. So, the surface area of this rectangular prism is **101.28 square centimeters**.
Step-by-step explanation:
3v=4.8 what is v anwser
Answer:
1.6=v
Step-by-step explanation:
Answer:
v=1.6
Step-by-step explanation:
divide both sides by 3
Help me with this question please the answer that gets it right I will give brainliest
Answer:
1/10
Step-by-step explanation:
Please see the attached photo. Hope it helps! :D
Answer:
\( x = \dfrac{1}{10} \)
Step-by-step explanation:
\( 4^{\frac{3}{4}} \times 2^x = 16^{\frac{2}{5}} \)
\( (2^2)^{\frac{3}{4}} \times 2^x = (2^4)^{\frac{2}{5}} \)
\( 2^{2 \times \frac{3}{4}} \times 2^x = 2^{4 \times \frac{2}{5}} \)
\( 2^{\frac{3}{2}} \times 2^x = 2^{\frac{8}{5}} \)
\( 2^{\frac{3}{2} + x} = 2^{\frac{8}{5}} \)
\( x + \dfrac{3}{2} = \dfrac{8}{5} \)
\( 10x + 15 = 16 \)
\( 10x = 1 \)
\( x = \dfrac{1}{10} \)
I need help with my math
Answer:
Page 1 of 3
1. twenty
2. 16,49
3. option3
4.32
5. 40 tickets show your work--10= 1.00 40=4.00
Page 2 of 3
7, 14, 21, 28, 35, 42, 49, 56, 63
Page 3 of 3 (left to right)
56, 0, 21, 63, 42, 35, 14, 28, 7, 77, 84, 56, 14, 49, 63, 28, 70, 42, 21, 35, 84, 7, 77, 0, 70
Step-by-step explanation:
learn your times tables
it will help you in high school and college
which type of unemployment is characterized by a worker looking for a job when there is no reason that he or she should not find one
Answer:
Frictional unemployment
Step-by-step explanation:
If you have the following options:
A. Structural unemployment
B. Periodic unemployment
C. Frictional unemployment
D. Seasonal unemployment
Answer:
Frictional unemployment
Step-by-step explanation:
Just did test
Describe the slope of the line
Find the slope
m=??
Answer: 2.333333...
Step-by-step explanation:
If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)
What is the median of these figure skating ratings?
5.0 6.0 7.0 7.5 8.0 9.0 10.0
Answer:
5.0 6.0 7.0 7.5 8.0 9.0 10.0
arranging the following
5.0 , 6.0 , 7.0 , 7.5 , 8.0 , 9.0, 10.0
7.5 is the median..
Find the area of this composite figure
Answer:
23.9425 (Round if needed)
Step-by-step explanation:
This is 2 half circles so you can find the area of a circle and divide it by 2.
First circle has a diameter of 6 cm
6/2=3 cm
So, circle has radius of 3.
Area of circle= 3.14(pi) radius^2
3.14 x 3^2= 28.26
28.26/2=14.13 cm
Area of first half circle= 14.13
Repeat that process for the second circle.
3.14 x 2.5^2=19.625
19.625/2=9.8125
14.13+9.8215=23.9425
Area=23.9425
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
Step-by-step explanation:
Yes
Answer:
it's no
Step-by-step explanation:
6 = 5(2) - 4
7 = -1/2(2) + 8
they don't meet at (2,6)
Graph the function. f(x)=3/2(x-4)^2+3
Answer:
vertex - (4,3)
parabola - (6,9)
Step-by-step explanation:
Khan Academy Answer: plus I did it and it’s just the answer
The daily listening audience of an AM radio station is four times as large as that of its FM sister station. If 105,000 people listen to these two radio stations, how many listeners does the FM station have?
The number of listeners is given from the total number of listeners and
the ratio of the listeners between the two stations.
Required:
The FM sister station has 21,000 listenersHow is the given ratio of listeners used to find the number of listeners?Given:
The daily listening audience of the AM station = 4 × The audience of the FM sister station
The number of people that listen to the two stations = 105,000
Required:
The number of listeners of the FM station
Solution:
The ratio of the listeners is 1:4
Let x represent the number of listeners of the FM sister station, we have;
The number of listeners of AM radio station = 4·x
Which gives;
4·x + x = 105,000
5·x = 105,000
\(x = \dfrac{105,000}{5} = \mathbf{21,000}\)
The number of listeners of the FM sister station, x = 21,000The number of listeners of he radio station = 21,000 × 4 = 84,000
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a rectangle with a width of 30 centimeters has a perimiter of 100 centimeters to 160 centimeters graph a compound inequality
Answer:
5 ≤ L ≤ 35
Step-by-step explanation:
Let w represent the width of the rectangle.
The perimeter (P) of the rectangle is given by:
P = 2w + 2L
Where L is the length of the rectangle.
We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:
100 ≤ 2(30) + 2L ≤ 160
100 ≤ 90 + 2L ≤ 160
10 ≤ 2L ≤ 70
We can now divide both sides by 2 to solve for L:
5 ≤ L ≤ 35
Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is: 5 ≤ L ≤ 35
A positive; 1 student; $350
B negative; 1 student; $350
C positive; 1 student; $500
D negative; 1 student; $600
Type the correct answer in the box. Use numerals instead of words. Find the missing side length, x. 18° 18° 20 B D The value of the missing side length labeled as x is _____
Answer:
7.2
Step-by-step explanation:
20/12 = 12/x
20x = 144
x = 144/20
x = 7.2
Check to make sure your answer is right:
20/12 = 1.66666666667
12/7.2 = 1.66666666667