Answer:
9.375, or 10 bags, since he cant buy a part of a bag. Hope this helps!
Step-by-step explanation:
A playing card has a perimeter of 28 centimeters. Its area is 45 square centimeters. What are the dimensions of the playing card?
Step-by-step explanation:
A playing card is in the form of a rectangle whose perimeter is equal to 28 cm and area is 45 cm².
If l and b are length and breadth of the rectangle.
Area,
[tex]A=lb[/tex]
[tex]45=lb\\\\l=\dfrac{45}{b}\ .....(1)[/tex]
Perimeter,
[tex]P=2(l+b)\\\\28=2(l+b)\\\\14=(l+b)\ ....(2)[/tex]
Put the value of l from equation (1) to equation (2). So,
[tex]14=\dfrac{45}{b}+b\\\\14=\dfrac{45+b^2}{b}\\\\14b=45+b^2\\\\b^2-14b+45=0\\\\b^2-9b-5b+45=0\\\\b(b-9)-5(b-9)=0\\\\b=5\ cm, 9\ cm[/tex]
Put the value of b in equation (1),
If b = 5 cm
[tex]l=\dfrac{45}{5}=9\ cm[/tex]
If b = 9 cm
[tex]l=\dfrac{45}{9}=5\ cm[/tex]
So, the dimensions of the playing card is 9 cm by 5 cm.
7% of a batch of chocolates were mis-shapes.If there were 2200 chocolates made, how many were mis-shapes?
Answer:
154
Step-by-step explanation:
To find the percentage, we can set up a percentage proportion, where x is 7% of 2200.
[tex]\frac{x}{2200} = \frac{7}{100}[/tex].
Now we can cross multiply to find the value of x.
[tex]2200\cdot7=15400\\\\15400\div100=154[/tex]
Hope this helped!
Part A A high school athlete ran the 100 meter sprint in 13.245 seconds. Round the time to the nearest tenth.Part B Explain how you arrived at the answer. Include any rules that you followed.
Answer:
t = 13.2 s
Step-by-step explanation:
Given that,
An athlete ran the 100 meter sprint in 13.245 seconds. We need to round off the time to the nearest tenth.
Here, t = 13.245 s
In order to round off to the nearest tenth, thousandths place and hundredth place gets eliminated.
So, t = 13.2 s
So, time is 13.2 seconds.
Answer: 13.2
Step-by-step explanation: hope you made it
Which of these numbers is irrational?
Answer:
[tex] \sqrt{5} [/tex]
Step-by-step explanation:
decimal repeats without a pattern
64^1-3n • 16^3n-3 = 64^-3n-3
The answer is
2^6(1-3n)×2^4(3n-3)=2^6(-3n-3).
2^(6-18n)×2^(12n-12)=2^(-18n-18).
(6-18n)×(12n-12)=(-18n-18).
6-18n×12n-12=18n-18.
6-12×-18n-12n=18n-18
-6×-30n=18n-18.
-6×18=-18+30
-108=48n.
n= -108/48.
n=-2.25.
would you rather have cheez its to cover a rectangle with a length of 9 and a perimeter of 22 or a length of 5 and a perimeter of 20
Answer:
A length of 5 and a perimeter of 20
Step-by-step explanation:
Personally, I'm lactose intolerant so I wouldn't take any Cheez-Its, but oh well.
Everyone wants the most Cheez-its, right? So we need to find the rectangle with the greatest area.
Let's look at the first one, a rectangle with a length of 9 and a perimeter of 22.
The perimeter of a rectangle can be expressed as [tex]2l+2w[/tex], where l is the length and w is the width.
We know the length and area, so let's solve for w (the width).
[tex]2\cdot9+2w=22\\\\18+2w=22\\\\2w=4\\\\w=2[/tex]
So the width is 2. The area of a rectangle is the length times the width.
[tex]9\cdot2=18[/tex]
So the first rectangle has an area of 18.
Using the same concept for the second statement, a length of 5 and a perimeter of 20, we can find the area.
[tex]2l+2w=20\\\\2\cdot5+2w=20\\\\10+2w=20\\\\2w=10\\\\w=5\\\\5\cdot5=25[/tex]
So the area of the second one is 25.
The greatest area is 25, so you'd want this one.
Hope this helped!
Answer:
The second one
Step-by-step explanation:
yaaaaaaaa
An object is moving at a speed of 850 miles per hour. Express this speed in meters per minute. Round your answer to the nearest whole number.
Answer:it would be 1385
Step-by-step explanation:because 850 miles per hour converted into meter per min would be 22799.04 meters per sec and then u would Find the number in the whole number place
4
and look one place to the right for the rounding digit on the right side of the decimal point
7
.Round up if this number is greater than or equal to
5
and round down if it is less than
5
1385
The speed in meters per minute is 22799.
Given that,
An object is moving at a speed of 850 miles per hour.Based on the above information, the calculation is as follows:
We know that
1 miles per hour = 26.822 meters per minute
So for 850 it should be 22799.
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what number is between 0.40 and 0.47 as a fraction
Use the following function rule to find f(16.36).
f(x) = 0.77x + 8.64
Write your answer as a decimal or whole number.
f(16.36) =
20 points to whoever gets the correct answer uwu
Answer:
Angle EFG = 104 degrees
Angle GFH = 76 degrees
Step-by-step explanation:
Angle EFG and Angle GFH are a linear pair, which means that they add up to 180 degrees.
Angle EFG = 4n + 20 and Angle GFH = 2n + 34, so 4n + 20 + 2n + 34 = 180.
We can then combine like terms, getting 6n + 54 = 180.
Then, we can subtract both sides by 54, getting 6n = 126.
Lastly, we can divide both sides by 6, getting n = 21.
EDIT - solve for EFG and GFH:
Angle EFG = 4n + 20 = 4(21) + 20 = 104 degrees
Angle GFH = 2n + 34 = 2(21) + 34 = 76 degrees
Answer:
∠EFG = 104°
∠GFH = 76°
Step-by-step explanation:
∠EFG + ∠GFH = 180
(4n + 20) + (2n + 34) = 180
6n + 54 = 180
6n = 180 -54
n = 126 / 6
n = 21
plug in values to ∠EFG
∠EFG = 4(21) + 20
∠EFG = 104°
plug in values to ∠GFH
∠GFH = 2(21) + 34
∠GFH = 76°
What is the value of the following expression? 6p + 5 when p = 9
Answer:
I think the answer is 59
Step-by-step explanation:
6p+5
6(9)+5
54+5=59
The values in the x column represent a specific number pattern, while the values in the y column represent a different pattern. Which graph provides visualization of these two patterns?
Answer: The answer is the top right question
Step-by-step explanation:
Answer:
the awnser is the top right one
Step-by-step explanation:
if you look at the x and y and look at the chart it says x 2 y 1 the first point is on x 2 and on y 1 and i did the test awnser was right
Rita needs to solve 3/4 divided by 2/3, she plans to multiply 3/4 times 3/2 will Rita’s strategy work
Answer:
Yes, I think so!
Step-by-step explanation:
3*3=9
4*2=8
So i will be 9/8
Hope this helps!
(pls mark brainiest!)
James is learning to type at the end of the first month games could type 9 words per minute at the end of the second month of practice James could type 18 words per minute after another month of practice James could type 27 words per minute James continued to practice at the end of five months how many worlds could James type per minute?
36?
45?
54?
52?
Find 1 3/4 divided by 1 1/6 write the answer in simplest form
Answer: 3/2
Step-by-step explanation:
1 3/4 ÷ 1 1/6
STEP 1. convert into improper fraction
1 3/4=7/4
1 1/6=7/6
--------------------------------------------
STEP 2. to the operation
1 3/4 ÷ 1 1/6
=7/4 ÷ 7/6
=7/4 × 6/7
=6/4
=3/2
Hope this helps!! :)
Please let me know if you have any question
Answer:
1.5
Step-by-step explanation:
First find 1 3/4 and 1 1/6 as an improper fraction. 1 3/4 = 7/4 because 1 times 4 plus three. 1 1/6 = 7/6 because 1 times 6 plus 1, so now you have 7/4 divided by 7/6. You change 7/6 to it's reciprocal, which is 6/7. Now it's like multiplication with fractions. 7*6=42. 4*7=28, so it's 42/28.
Now we want to simplify. It can be simplified to 1 1/2, which is also 1.5. Hope this helps.
|1-12| simlify tthe expression
Answer:
11
Step-by-step explanation:
|1 - 12| = |-11| = 11
Answer:
11
Step-by-step explanation:
Complete the missing parts of the paragraph proof.
By the definition of angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles is 180 degrees. By the property, mAngle1 + mAngle2 = mAngle3 + mAngle2. Subtract the measure of angle from each side. You get mAngle1 = mAngle3, or Angle1 Is-congruent-to Angle3, by the definition of congruence
Answer: Supplementary, 3 and 2, substitution, 2.
Step-by-step explanation: just did it .
The ∠1 is congruent to ∠3 by definition of congruency.
What is an angle?An angle is formed from the intersection of two lines. Types of angles are acute, obtuse and scalene.
m∠1 + m∠2 = 180° (given)
m∠2 + m∠3 = 180° (given)
Hence:
m∠1 + m∠2 = m∠2 + m∠3 (equality property)
Subtract m∠2 from both sides to get:
m∠1 = m∠3
The ∠1 is congruent to ∠3 by definition of congruency.
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Which number Producing we are rational number When multiplied 0. 25
Answer
So changing 1/4 by multiplying top and bottom by 9 gives 9/36 and changing 2/9 by multiplying top and bottom by 4/4 gives 8/36 and adding 9/36 to 8/36 gives 17/36 - a rational number.
Step-by-step explanation:
Which diagram represents the postulate that states exactly one line exists between any two points?
Answer:
C with points A and B on the line
The diagram that supports the postulate is line option (c).
What are lines and points?Lines and points are both undefined terms in geometry.
The given postulate states that;
Exactly one line exists between any two points.
This means that the line must pass through the two points.
From the given options, Only option (c) is true because the line passes through points A and B.
Hence, the diagram that supports the postulate is line option (c).
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Rectangle ABCD has a length of 8n – 8 and a width of 3n - 1.
Find the Area of Rectangle ABCD. Write the answer in Standard
Form.
a lightbulb manufacturer would like to increase production from 1.4 million to 3.9 million lightbulbs per year. find the percent increase of the production expectation. ( round your answer to one decimal place)
Answer:
The percentage increase of the production expectation to 1 decimal place is 178.6%
Step-by-step explanation:
Here in this question, we are interested in finding the percentage increase in the production capacity of the hypothetical company;
We can make or have a formula for this to make our workings easier;
% increase = (new value - old value)/old value * 100%
From the question;
The old value is the former productive capacity which is 1.4 million
The new productive capacity is 3.9 million
Thus;
The percentage increase in the production capacity would be;
(3.9 million - 1.4 million)/1.4 million * 100%
= 2.5 million/1.4 million * 100% = 178.57%
But the question asks we should have our answer in one decimal place;
Thus; 178.57% becomes 178.6%
Which statements about segmented and side-by-side bar graphs are true? Choose two correct answers. Segmented and side-by-side bar graphs summarize the data distribution for a single categorical variable. Segmented and side-by-side bar graphs summarize the data distribution for two or more categorical variables. Segmented and side-by-side bar graphs can summarize conditional relative frequencies. Segmented and side-by-side bar graphs summarize the data distribution for associated categorical variables only. Segmented and side-by-side bar graphs never show an association between categorical variables.
Answer: Segmented and side-by-side bar graphs summarize the data distribution for two or more categorical variables.
Segmented and side-by-side bar graphs can summarize conditional relative frequencies.
Answer:
ANSWERS ARE B & C
B. Segmented and side-by-side bar graphs summarize the data distribution for two or more categorical variables
C. Segmented and side-by-side bar graphs can summarize conditional relative frequencies.
Step-by-step explanation:
Hannah has a small square shaped garden with an area of 196 square feet. If she wants to put a fence around the garden, how many feet of fencing will she need?
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
A square is a quadrilateral that has the same length on every side.
The area of the garden is 196 square feet. To find the area of a garden, you have to multiply the length times the width. Since you know that both widths are the same, you can simply just calculate the square root of 196. The square root of 196 is 14. So you know that one side is 14 feet in length.
Now you will need to find the perimeter. The perimeter of any polygon is the lengths of all sides added up. Since there are 4 sides on a square, and each side is the same length, you can just add 14, 4 times. 14+14+14+14 equals 56. So the perimeter of the garden is 56 feet.
Hannah will need 56 feet of fencing.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
she needs to put 56 feet of fencing materials around ground
What is square?A quadrilateral which has four equal sides and four equal angles is known as a square.
According to the question,
To find the fencing material means to calculate the length around the square garden, or the perimeter of the square shaped garden.
Area , A is given as 196 square feet.
Formula for Area of a square (A )= Side × side
196 = side × side
This can be written as
Side × Side = 196
[tex]side^{2}[/tex] = 196
Take the square root of both sides,
[tex]\sqrt{side^{2} }[/tex] = [tex]\sqrt{196}[/tex]
side = 14 feet
The perimeter of a square can be calculated, P = 4(s), because all the four
sides are equal
P = 4 × side
= 4 × 14
= 56 feet
Hence, she needs 56 feet of fencing materials.
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c=97, b=72, a=? Find a
A. 35
B. 75
C. 65
D.54
Answer:
65
Step-by-step explanation:
c^2-b^2=a^2
The angle of elevation of the top of a tower from a point 100m away is 45 degrees. What is the height of the tower to the nearest metres?
===========================================
Explanation:
If you draw out the diagram, then you'll find that a 45-45-90 triangle forms. The nice thing about this type of triangle is that the two legs are always the same length. The horizontal leg is 100 meters, so the vertical leg must also be 100 meters.
Side note: this type of triangle is an isosceles right triangle.
---------
You could use the tangent rule to get the same thing
tan(angle) = opposite/adjacent
tan(45) = 100/x
1 = 100/x
1*x = 100
x = 100
In this case, the opposite leg is the vertical leg since it is furthest from the angle of elevation.
Answer:
[tex]\Huge \boxed{\mathrm{100 \ meters}}[/tex]
Step-by-step explanation:
The base of the right triangle created is 100 meters.
The angle between the base and the hypotenuse of the right triangle is 45 degrees.
We can use trigonometric functions to solve for the height of the tower.
[tex]\displaystyle \mathrm{tan(\theta) = \frac{opposite }{adjacent} }[/tex]
[tex]\displaystyle \mathrm{tan(45) }= \frac{x }{100}[/tex]
Multiplying both sides by 100.
[tex]\displaystyle \mathrm{100 \cdot tan(45) }= x[/tex]
[tex]\displaystyle \mathrm{100 }= x[/tex]
The height of the tower is 100 meters.
which one is it ?
substitution property of equality
reflexive property of equality
transitive property of equality
symmetric property of equality
n/3 - 2 = 4 2, 6, 14, or 18?
Answer:
Step-by-step explanation: all yu need to do is plug in each number option you have to replace in for until you get what it equals aka 4
for ex.
18/3-2=4 so that means 18 is your answer
Answer:
n = 18Step-by-step explanation:
In algebra, there is always an orderly progression of steps. Once we get an answer for the value of x, we must test it in the original question to make sure it is correct.
___________________________________________________Step 1: Add 2[tex]\frac{n}{3} - 2 + 2= 4 + 2 \\\\ \frac{n}{3} = 6[/tex]___________________________________________________Step 2: Multiply by 3n/3 × 3 = 6 × 3
n = 18
___________________________________________________Step 3: Check18/3 - 2 = 4
6 - 2 = 4
4 = 4 ✓
___________________________________________________I AM ALWAYS HAPPY TO HELP :)Write an absolute value inequality to represent each situation:
A friend is planning a trip to Alaska. He purchased a coat that is recommended for outdoor temperatures from -15°F TO 45°F. Let t represent the temperature for which the coat is intended. Please show all steps too, please \(^v^)/
Answer:
I forgot about this app
Find the difference: 3.45 - 0.12 =
Answer:
3.33
Step-by-step explanation:
3.45
- 0.12
______
3.33
Manny owns a home with a front and back lawn. The front lawn is ⅓ the size of the back lawn. If she mows ½ of her front lawn and ⅔ of her back lawn, what fraction of her entire lawn was left unmowed?
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
The computation of the fraction of her overall lawn remaining unmowed is shown below:
Let us assume that the back lawn be x
So the front lawn would be
[tex]= \frac{1}{3}\times x\\\\ = \frac{x}{3}[/tex]
So, the total lawn is ................... (i)
[tex]= x + \frac{x}{3}\\\\ = \frac{4x}{3}[/tex]
The back lawn mowed is [tex]\frac{2x}{3}[/tex]
Front lawn moved is [tex]\frac{x}{6}[/tex]
So, the total mowed is ....................(ii)
[tex]= \frac{2x}{3} + \frac{x}{6}\\\\ = \frac{5x}{6}[/tex]
So, the total unmowed is
[tex]= \frac{4x}{3} - \frac{5x}{6} \\\\= \frac{x}{2}[/tex]
Now the fraction is
[tex]= \frac{x}{2} \times \frac{3}{4x} \\\\ = \frac{3}{8}[/tex]
The fraction of the entire lawn unmoved is 3 / 8
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts. The computation of the fraction of her overall lawn remaining unmowed is shown below:
Let us assume that the back lawn is x
So the front lawn would be
[tex]=\dfrac{1}{3}\times x[/tex]
[tex]=\dfrac{4x}{3}[/tex]
So, the total lawn is ................... (i)
[tex]=x+\dfrac{x}{3}[/tex]
The back lawn mowed is
The front lawn moved is
So, the total mowed is ....................(ii)
[tex]=\dfrac{2x}{3}+\dfrac{x}{6}[/tex]
[tex]=\dfrac{5x}{6}[/tex]
So, the total unmowed is
[tex]=\dfrac{4x}{3}-\dfrac{5x}{6}[/tex]
[tex]=\dfrac{x}{2}[/tex]
Now the fraction is
[tex]=\dfrac{x}{2}\times \dfrac{3}{4x}[/tex]
[tex]=\dfrac{3}{8}[/tex]
Therefore the fraction of the entire lawn unmoved is 3 / 8
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