Single bookcase units with two sides, top and bottom should be no wider than 36 inches without a center support.
How wide should shelves be?For most shelves made from 3/4 inch stock, a practical span is 30 to 36 inches. Shelf depth is determined by the size of the items to be stored, generally within the range of 6 to 24 inches. Shelf depth for a general purpose bookshelf is usually 10 to 12 inches. Landon is building new bookshelves for his book store.Plywood for shelves should be 3/4 inch thick or thicker. Standard sheets of plywood come in 1/4-inch, 3/8-inch, 1/2-inch, 5/8-inch, and 3/4-inch thicknesses. Plywood panels over 3/4 inch in thickness are usually special order products.I cut 1 1/2″ strips of plywood and secured three strips to each shelf, including the top and bottom of the bookshelf. The plywood strips are attached on edge, or on their sides, providing the most rigidity.Plywood is the go-to material used for pantry shelves. It's versatile, available in virtually any species of hardwood, and can easily be cut using any table saw. Plywood is ideal for pantry shelves because its edges can be finished with wood trim or iron-on veneer bandingEach shelf can hold 33 books
There are 1221 mystery books
Therefore the number of shelves he will need to build can be calculated as follows
= 1221/33
= 37
Hence Landon will need to build 37 shelves,
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If you flip a coin 300 times,how many times would you expect it to land on tails (same question for heads) Heads Frequency:35 Tails frequency:65
I flip a coin 300 times.
So the possibility of head :
The formula for probability is
Probability=
\frac{number of total events}{number of favorable events}
From the given data in the question,
The coin is tossed total 300 times,
We got head 35 times in 300 times,
So the probability of getting a head is =
[tex] \frac{300}{35} [/tex]
Same do as Tails
Victoria depoited $15,000 into a aving account that earn an annual imple interet rate of 0. 2%. To the nearet tenth of a year, how long will it take for the account to reach $15,500?
At an interest rate of 0.2% per year, $15500 will be reached from $15000 in 16.67 years.
What is percent?In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
Here,
Principal=15000
Rate of interest=0.2%
Interest amount per year=15000*0.2%
=$30
Let n be the number of years,
15500=15000+30n
500=30n
n=50/3
n=16.67 years
It will take 16.67 years to reach the amount of $15500 from $15000 at the interest rate of 0.2% per year.
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Please help it's urgent!
part a) says write an equation and solve for x
Answer: look at explanation
Step-by-step explanation:
1. Since those are congruent you equal them to eachother: 6x-8=4x+2
2. Then you solve (steps are shown below)
a) 6x-8=4x+2
b) 2x-8=2
c) 2x=10
d) x=5
3. Answer should be x=5
hope this helps!
-35+12=
Could someone help me pls
Answer: -23
Step-by-step explanation:
When you're adding to a negative the negative number decreases, so if you're adding 12 from negative 35, you're taking away 12 negative numbers, hence why the answer is -23
hope that helped :)
Suzanne has 12 jars of beads. some of her jars have 15 beads, and the others have 9 beads. she has 126 beads in all. How many of her jars have 9 beads?
A 3 jars
B 6 jars
C 9 jars
The number of Suzanne jars that have 9 beads is 9.
How to find the number of jars that have 9 beads?Suzanne has 12 jars of beads. some of her jars have 15 beads, and the others have 9 beads. she has 126 beads in all.
The number of jars that have 9 beads can be calculated as follows:
let
the number of jars that have 15 beads = x
the number of jars that have 9 beads = y
Hence,
x + y = 12
15x + 9y = 126
multiply equation(i) by 15
15x + 15y = 180
15x + 9y = 126
subtract equation(i) from equation(ii)
6y = 54
divide both sides by 6
y = 54 / 6
y = 9
Therefore,
jars with 9 beads = 9
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The ratio of the angles in a triangle is 3:5:8 what is the measure of the largest angle
The measure of the largest angle is 96 degrees.
What is a ratio?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3
The measure of the largest angle in the triangle is 96 degrees.
To find the measure of the largest angle, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.
Let's call the measures of the three angles x, y, and z, where x is the measure of the smallest angle, y is the measure of the middle angle, and z is the measure of the largest angle.
We are given that the ratio of the angles is 3:5:8, which means that x:y:z = 3:5:8.
We can set up the following equation to represent the sum of the measures of the angles in the triangle:
x + y + z = 180
We can also set up the following equation to represent the ratio of the angles:
x : y : z = 3 : 5 : 8
We can use these two equations to find the measure of the largest angle.
First, let's multiply the second equation by 3, 5, and 8 to get:
3x = 15y = 24z
Then, we can substitute these equations into the first equation to get:
15y + 24z = 180
Solving for z, we get:
z = 180 / (15+24) = 180 / 39 = 96
Therefore, the measure of the largest angle is 96 degrees.
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BASED ON BEN’S WORK SHOWN, HOW WOULD HE RESPOND?
The point IS a solution to the system. Only one of the equations resulted in anidentity.
The point isNOT a solution to the system. Both equations resulted in identities.
The point is NOT a solution to the system. Only one of the equations resulted in an identity.
The point IS a solution to the system. Both equations resulted in identities.
The point is NOT to fix the system. There was just one equation that produced an identity. The right answer option 3
Equation: What is it?An equation is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
X = 6 and Y = -8 are the points in BEN'S WORK SHOWN's 2x + y = 4 equation, and after solving it, we have the verification.
However, for x + 3y = -20, the points x = 6 and y = -8 are not solved, and since points here only fulfill one equation,
The point is NOT a solution to the system. Only one of the equations resulted in an identity.
if both the solution would have been then we can say that point is a solution to the system. but this is not true as one equation is not satisfy
The point is NOT a solution to the system. Both equations resulted in identities. this is also not true as one is identities not both.
The point IS a solution to the system. Both equations resulted in identities. this is also not true as both are not identities as only one is identities.
Thus option 3 is correct
The point is NOT a solution to the system. Only one of the equations resulted in an identity.
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On Wednesday 28% of the customers who bought gas at a gas station made additional purchases. There were 300 customers who bought gas. How many of these 300 customers made additional purchases?
Answer:70 i think srry if its wrong
Step-by-step explanation:
In this triangle, what is the value of x?
Answer: 4.46cm
Step-by-step explanation:
Use [SOH CAH TOA]
We have two sides that are labeled. Use 85cm and x.
Using the angle 63 degrees would mean you are using SOH.
SOH = Opposite/Hypotenuse.
If the above is true, then: Sin63 = x/85
Since we don't know what x is, you want to move 85 to the other side.
85(Sin63) = x
Now, you can find x. Multiply 85 and Sin63. Your answer should be 4.46 (if rounded to 2 decimals).
In chemistry class, Charlie records the volume of a liquid as 13.3 milliliters. The true volume is 13.6 milliliters. What is his percent error? Round to the nearest percent
please help i have to make a discussion topic doesn’t have to be long just simple but still answering the question
You would add 5x + 2x = 7x
Substitute 5 for x and that = 5(5)= 35 +2(5)= 10= 45
and do it for 7(5)= 35-1 = 34 too
You can't make them equal
Following the pattern in (5)(3)+(2)(3) = (5+2)(3), we could do the same thing with 5x+2x = (5+2)x. We're basically un-distributing the common factor from each term.
And now with (5+2)x, we can add the 5 and 2 to get 7x.
If we substitute different values into 5x+2x, it works out to add up to 7 times that same substituted value. For example:
(5)(9)+(2)(9)=45+18=63
(7)(9)=63
If we substitute 9 into 7x-1, then we end up with 63-1 = 62.
In fact, any number we put into 5x+2x will always be one more than 7x-1. So, no, there doesn't seem to be any value of x that would make these equal. Since 5x+2x=7x, then 7x-1 will always be one less than 7x.
The length of a rectangle is 15 cm. What width will make the area at least 315 cm^2
Answer:
At least 16 cm
Step-by-step explanation:
315cm/15 = 16cm
One weekend, a shop had 850 customers. 375 were men and the rest were women. What is the ratio of men to women customers in its simplest form?.
When there were 375 men and 475 women, the simple ratio of men to women clients was 15/19.
What is ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Here,
Total customers=850
Total number of men=375
Total number of women,
=850-375
=475
The ratio of men to women customers,
=375/475
Divide both terms by the GCF 25,
375 ÷ 25 = 15
475 ÷ 25 = 19
=15/19
The ratio of men to women customers in its simplest form is 15/19 when there were 375 men and 475 women.
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Which of the following is equal to the square root of the cube root of 6? (4 points)
A. 6 to the power of one sixth
B. 6 to the power of one third
C. 6 to the power of two thirds
D. 6 to the power of three halves
Answer:
A. 6 to the power of one sixth
Step-by-step explanation:
To find the square root of the cube root of 6, you need to first find the cube root of 6, which is equal to 2. Then, you need to take the square root of 2, which is equal to 1.4142135623730951. Therefore, the square root of the cube root of 6 is equal to 1.4142135623730951.
To express this value using exponents, you can use the property that the square root of x is equal to x to the power of one half. Therefore, the square root of the cube root of 6 is equal to 6 to the power of one half of one third, which simplifies to 6 to the power of one sixth.
Workers are loading boxes onto a truck. So far, they have loaded 48 boxes onto the truck. According to their inventory, they still need to load 96% of the boxes on the truck. What is the total number of boxes the workers are loading on the truck?
The total number of boxes of inventory which is loading on the truck by the workers are 1,200 boxes.
What is percentage of a number?
Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.
Workers are loading boxes onto a truck . So far, they have loaded 48 boxes onto the truck.
According to their inventory, they still need to load 96% of boxes on the truck. There must be 100% box at the start of the loading. Thus, the percentage of boxes they have load,
p=100-96 = 4%
Thus the percentage of boxes they have load in the truck is 4%. This is equal to the 48 boxes they have loaded.
Let suppose there is x number of total boxes. Thus the 4 percent of x will be equal to the 48.
(4/100)x=48
x = 4800/4 = 1200
Thus, the total number of boxes of inventory which is loading on the truck by the workers are 1,200 boxes.
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A rectangular poter ha an area of 504 quare centimeter. The width of the poter 14 centimeter. How long i the poter? Write equation to how your work
Answer:
36 cm.
Step-by-step explanation:
In the question, we have been given ,
Area of the rectangle=504cm2
The width of the rectangle=14cm
The length of the rectangle=?
The formula for the area of the area of the rectangle is L×B. Thus A=L×B(W).
So 504cm2= L×14.
Now divide both sides by 14
504cm2/14=14L/14
Therefore L= 36cm
Help me please unit plsss
The possible elevation of Salton city will be;
⇒ x < - 2 feet
Where, x is the elevation of Salton city.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
New Orleans is 2 feet below sea level.
And, Salton City has an elevation that is lower than New Orleans.
Now,
New Orleans is 2 feet below sea level.
And, Salton City has an elevation that is lower than New Orleans.
Let the elevation of Salton city = x feet
Thus, We get;
The possible elevation of Salton city will be;
⇒ x < - 2 feet
Where, x is the elevation of Salton city.
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Sinx+1 =cos x
Hint: square both sides
Answer:
1 – cos²x = Sin²x
Step-by-step explanation:
Sinx + 1 = cos x
by squaring both sides
(Sinx + 1)² = (cos x )²
Sin²x + 1 = cos²x
1 – cos²x = Sin²x
i hope this helped
Help pls high points given
(35 POINTS!!)
The height of a hot air balloon over time is given in the following table.
The height of a blimp over time is given by y = 250x, where y represents the height in feet and a represents the time in minutes.
How fast is the hot air balloon rising? How fast is the blimp rising?
Hot air balloon: (?) feet per minute.
Blimp: (?) feet per minute.
The hot air balloon is rising at 600 feet per minute and the blimp are rising at 250 feet per minute
How to determine how fast the hot air balloon and the blimp are rising?How fast is the hot air balloon rising?
From the question, we have the following parameters that can be used in our computation:
The height of a balloon over time is represented by the graph
On the graph, we have the following points
(x, y) = (0, 0) and (2, 1200)
The rate is calculated as
Rate = (1200 - 0)/(2 - 0)
Evaluate
Rate = 600
Hence, the rate of rising is 600 feet per minute
How fast is the blimp rising?
From the question, we have the following parameters that can be used in our computation:
The height of a blimp over time is given by y = 250x
The above equation is a linear equation
A linear equation can be represented as
y = mx + c
Where
slope = m
This means that the slope of y = 250x is 250
The slope represents the rate
Hence, the rate of rising is 250 feet per minute
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1. Which expression is equivalent to 10x – 5 + 8x - 7?
Answer: 18x-12
Step-by-step explanation:
Add 10x +8x (because they both have x at the end so its fine to add them
then do -5-7= -12
Need help with this question
The value of the angle m∠BDC is 105°.
What is third angle theorem?If the other two sets are both congruent, then the third angles are equal.The third pair of angles must be congruent if two angles in one triangle are congruent with two angles in another triangle. The Third Angle Theorem refers to this.The Triangle Sum Theorem can be thought of as an extension of the Third Angle Theorem. The Triangle Sum Theorem states that once two angles in a triangle are known, you automatically know the third. This indicates that if you have two triangles with two pairs of congruent angles between them, you will receive the same result both times when you apply the Triangle Sum Theorem to each triangle to determine the third angle. The third pair of angles must therefore likewise be similar.Let separate the triangles and find missing angle in triangle with given angles.
CAD = 45°
CDA = 30°
Then, CAD+CDA+ACD = 180°
45°+30°+ACD=180°
ACD=180°-75°
=105°
by applying third angle theorem,
∠CAD=∠DBC=45°
∠ADC=∠BCD=30°
Then, ∠DBC+∠BCD+∠BDC=180°
45°+30°+BCD=180°
BCD=180°-75°
=105°
Hence, The value of the angle m∠BDC is 105°.
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triangle A"B"C" is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin. Which equation explains the relationship between BC and B"C"
Answer:
the equation that explains the relationship between BC and B"C" is:
BC = 2 * B"C"
This equation states that the length of BC is equal to twice the length of B"C".
Step-by-step explanation:
If triangle A"B"C" is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin, then the coordinates of the vertices of triangle A"B"C" can be expressed as follows:
A" (x+1, y+1)
B" (3x+3, 3y+3)
C" (3x+6, 3y+6)
To find the equation that explains the relationship between BC and B"C", we can use the distance formula to find the length of both segments. The distance formula is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using the distance formula, we can find the length of BC as follows:
BC = √((3x - x)^2 + (3y - y)^2)
= √((2x)^2 + (2y)^2)
= √(4x^2 + 4y^2)
= 2√(x^2 + y^2)
We can also find the length of B"C" as follows:
B"C" = √((3x+6 - 3x-3)^2 + (3y+6 - 3y-3)^2)
= √((3)^2 + (3)^2)
= √(9 + 9)
= √(18)
= 3√(2)
How can you show that these two circles are similar?
well, similarity on circles is a phony business
in essence, all circles are similar by definition, I mean, hell they're all circular, what's so unsimilar about that?
however, the silly proof asks to translate it about and then dilate it to be superimposed on the other.
Select one of the four properties—commutative, associative, identity, distributive—to explain how you remember the rule for multiplication and division. Then, explain how the rule is similar or different with addition and subtraction.
Changing the order of the factors does not change the product, according to the commutative property of multiplication.
What is cumulative property?Changing the order of the factors does not change the product, according to the commutative property of multiplication. Here's an illustration: 4 × 3 = 3 × 4 4 x 3 = 3 x 4, or 4 x 3 = 3 x 4.
The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true. For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication.
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Two trains, Train A and Train B, weight a total of 301 tons. Train A is heavier than Train B. The difference of their weights is 217 tons. What is the weight of each train?
Answer:
Train A = 259
Train B = 42
Step-by-step explanation:
Answer:
Train A's weight is 259 tons
Train B's weight is 42 tons
Step-by-step explanation:
Let x represent train A's weight, and y represent train B's weight.
Since they both weigh 301 tons
The equation is: x+y = 301
The difference in their weight is 210, and train A is heavier
So equation is: x - y = 217
x+ y =301
x- y = 217
2x = 518
x = 259 tons
Now find train B
301 - 259 = 42 tons
At the DeBartolo Building, 3 out of every 7 employees use public transportation. There are 9,800 employees at the building. How many employees do not use public transportation? Type in the number only.
Step-by-step explanation:
At the DeBartolo Building, 3 out of every 7 employees use public transportation. There are 9,800 employees at the building. How many employees do not use public transportation? Type in the number only.
3 out of every 7 employees use public transportation so 4 out of every 7 employees do NOT use public transportation.
9,800 / 7 = 1,400
1,400 * 4 = 5,600
Find the length of AB.
8 m
80°
AB =[? ]m
Round your answer to the nearest hundredth.
Answer:11.17
Step-by-step explanation:
pi x D x angle /360
pi x 8x2x80/360
=11.170
2X-3Y=4
X+Y=6
please explain each step
Answer:
Step-by-step explanation:
Rewrite equations: x+y=6;2x−3y=4
Solve x+y=6 for x: x+y+−y=6+−y (Add -y to both sides)
x=−y+6
Substitute −y+6 for x in2x−3y=4: 2x−3y=4
2(−y+6)−3y=4
−5y+12=4 (Simplify both sides of the equation)
−5y+12+−12=4+−12 (Add -12 to both sides)
−5y=−8
−5y/−5=−8/−5 (Divide both sides by -5)
y=8/5
Substitute 8/5 for y in x=−y+6:
x=−y+6
x=−8/5 +6
x=22/5 (Simplify both sides of the equation)
Answer: x=22/5 and y=8/5
9th grade math need help asp
Answer:
10
Step-by-step explanation:
look at where the 2 lines meet and then look at the minutes