A. The number of beds that are at the hostel will be 700 beds.
B. The planned capacity will be 105 beds.
C. The box of silver is heavier.
How to illustrate the information?A. In a hostel , 30% of the beds are vacant and T
there are 210 guest beds at the hostel currently. The number of beds will be:
= 30% of x = 210
0.3x = 210
x = 210/0.3
x = 700
The number of beds is 700.
B. The planned capacity will be:
= 15% × 700
= 0.15 × 700
= 105 beds.
C. When the jeweler is trying to determine which box has the greatest weight and a box of gold weighs 0.55 kilograms and a box of silver weighs 14/25 kilograms. It should be noted that 14/25 = 0.56. Therefore, the silver is heavier.
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Which of these is the best approximation for square root 7?172.63.012.2
one forth of the villains nabbed by the Second-Rate Superheroes were jaywalkers. One-ninth of those were illegal double parkers. What fraction of the villains were both jay walkers and illegal double parkers.
Answer:
1/36
Step-by-step explanation:
You want the fraction of villains that are both jay walkers and double-parkers, given that 1/9 of jay walkers are double-parkers and 1/4 of villains are jay walkers.
Doubly-bad villainsThe fraction of villains that both jay walk and double park is 1/9 of 1/4 of all villains.
1/9 × 1/4 = 1/(9×4) = 1/36
1/36 of all villains are both jay walkers and double parkers.
Choose the best answer
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:-\dfrac{1}{\sqrt{3-2x}} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
We newd to find the derivative of given function :
[tex]\qquad \tt \rightarrow \: y = \sqrt{3 - 2x} [/tex]
[tex]\qquad \tt \rightarrow \: y = (3 - 2x) {}^{ \frac{1}{2} } [/tex]
[tex]\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{d}{dx} (3 - 2x) {}^{ \frac{1}{2} } [/tex]
[tex]\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{1}{2} \sdot(3 - 2x) {}^{ - \frac{1}{2} } \sdot( - 2)[/tex]
[tex]\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{1}{ \cancel2} \sdot\frac{1}{(3 - 2x) {}^{ \frac{1}{2} } }\sdot( - \cancel2)[/tex]
[tex]\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ - 1}{ \sqrt{ (3 - 2x) {}^{ }} }[/tex]
Correct option : B
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Tell if each pair of triangles are either 1. Similar By SSS similarity 2.Similar by AA similarity3.Similar by SAS similarity 4.not similar Pls label the triangle also so it’s easy to tell which one you are talk about thank you
We have the following:
1. Similar By SSS similarity
4/2= 2
7.3.5 = 2
6/3 = 2
2. Similar by AA similarity, same angles, 90°, 70° and 50°
3. Similar by SAS similarity
, same angles and related sides.::
4/2 = 2
6/3 = 2
4. Similar by SAS similarity, same angles and related sides:
12/6 = 2
8/4 = 2
0.0379 rounded to the nearest whole number ?
Answer: 0
Step-by-step explanation: We have to 2 answers to choose between, 0 and 1. 0.0379 is closer to 0 because if your decimal was more than 0.5 it would round to 1 as its nearest whole number. Hope this helps!
Simplify 3.5p(4 − 0.3p).
14 − 1.05p2
14 − 0.3p2
14p − 1.05p2
14p − 0.3p2
The correct explanation for the expression 3.5p(4 − 0.3p) will be;
⇒ 14p - 1.05p²
Option C is true.
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called the Mathematical expression.
Given that;
The mathematical expression is;
⇒ 3.5p(4 − 0.3p)
Now, Solve the expression as;
The mathematical expression is;
⇒ 3.5p(4 − 0.3p)
Hence,
⇒ 3.5p(4 − 0.3p) = 3.5 x 4p - 3.5p x 0.3p
= 14p - 1.05p²
Thus, After simplify we get;
⇒ 3.5p(4 − 0.3p) = 14p - 1.05p²
Therefore, The correct explanation for the expression 3.5p(4 − 0.3p) will be;
⇒ 14p - 1.05p²
Option C is true.
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Write the sentence as an inequality.
A number r is no less than -1.5 and fewer than 9.5
Inequality:
Answer:
-1.5 ≤ r < 9.5
Step-by-step explanation:
All you have to do is just insert the numbers
we use ≤ as it says in the question "no less"
You ask a deli clerk for x pounds of ham and x pounds of cheese. You end up getting 4 extra ounces of ham and
3 fewer ounces of cheese. The ham costs $6.24 per pound, and the cheese costs $4.80 per pound. You spend twice
as much on ham as you do on cheese. How much do you spend in total?
If the ham costs $6.24 per pound, and the cheese costs $4.80 per pound. You spend twice as much on ham as you do on cheese. The amount spent in total is: $187.20.
Total costLet number of ham bought = x + 4
Let number of cheese bought = x - 3
Price of ham = $6.24
Price of cheese = $4.80
Hence,
Amount spent on ham = (x+4)×6.24
Amount spent on ham =6.24x + 24.96
Amount spent on cheese = (x−3)×4.80
Amount spent on cheese =4.80x−14.40
So,
6.24 x + 24.96 = 2 (4.80 x - 14.40)
6.24x + 24.96 = 9.60 x - 28.80
Combine like terms
24.96 + 28.80 = 9.60 x - 6.24 x
3.36 x = 53.76
Divide both side by 3.36x
x = 53.76/3.36
= 16x
Now let find the total money spent where x is 16
Total amount = 6.24(16) + 24.96+ 4.80(16) - 14.40
Total amount = $187.20
Therefore the amount of $187.20 was spent in total.
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The population of City A is 8.59 x 104. The population of City B is 3.2 x 103. Select all of the values that show the difference in population of City A and City
B.
8.27 x 104
5.39 × 10¹
2.748 x 107
82,700
7.8 x 104 + 4.7 x 10³
The difference between the population in City A and City B is 8.27 x [tex]10^{4}[/tex] and 82,700.
What is the difference in the population?The numbers are written in scientific notation. Scientific notation is a method that is used in mathematics to compress large numbers. In order to write a number in scientific notation, the number is written as a decimal number between 1 and 10 and multiplied by a power of 10. For example, 3 x 10² is equivalent to 300
Subtraction is the mathematical operation that is used to determine the difference between two or more numbers.
8.59 x [tex]10^{4}[/tex] - 3.2 x 10³
(0.859 x [tex]10^{4 - 1}[/tex]) - ( 3.2 x 10³)
(0.859 x 10³)- (3.2 x 10³)
0.827 x 10³
8.27 x [tex]10^{4}[/tex] = 82,700
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An individual wants to bring multiple copies of two comic books to a convention this week. There are 15 copies of the comic book the individual wants to sell (S), and 8 copies of a comic book the individual wants appraised (A), with a combined weight of 49.9 oz. The individual can only fit 40 oz. of comics in a bag. If the individual brings 10 copies of the comic book he wants to sell (S), 4 copies to be appraised (A), the combined weight would be 30.2 oz. Calculate how much each comic (S) weighs.2.3 oz.2.25 oz.2.1 oz.
Let x represent the weight of the comic book to be sold
Let y represent the weight of the appraised book to be appraised
There are 15 copies of the comic book the individual wants to sell (S), and 8 copies of a comic book the individual wants appraised (A), with a combined weight of 49.9 oz. It means that
15x + 8y = 49.9 equation 1
If the individual brings 10 copies of the comic book he wants to sell (S), 4 copies to be appraised (A), the combined weight would be 30.2 oz, it means that
10x + 4y = 30.2 equation 2
Multiplying equation 2 by 2, it becomes
20x + 8y = 60.4 equation 3
Subtracting equation 3 from equation 1, it becomes
20x - 15x + 8y - 8y = 60.4 - 49.9
5x = 10.5
x = 10.5/5
x = 2.1
Substituting x = 2.1 into equation 2, it becomes
10(2.1) + 4y = 30.2
21 + 4y = 30.2
4y = 30.2 - 21 = 9.2
y = 9.2/4
y = 2.3
Weight of the comic(S) to be sold = 2.1 oz
the value of 2 [3 (x^2 - 5) + 5y] when x = 9 and y = 3. A. 729.
[tex] = 2(3( {(9})^{2} - 5) + 5(3)) \\ = 2(3(81 - 5) + 15) \\ = 2( 3(76) + 15) \\ = 2(228 + 15) \\ = 2(243) \\ = 486[/tex]
ATTACHED IS THE SOLUTION
YOU DID NOT PROVIDE FULL OPTIONS THEREFORE I WON'T BE ABLE TO CHOOSE.
GOODLUCK .
I need help with this practice problem I will send an additional pic that goes along with this, it’s a graph, use the graph to answer
It is given that,
[tex]\begin{gathered} a^-=\langle-3,-5\rangle \\ b^-=\langle1,4\rangle \end{gathered}[/tex]By using parallelogram method,
[tex]a^-+b^-=\langle-2,-1\rangle[/tex]The graph is as shown below:
Suppose that the relation S is defined as follows.
s={(3, 0), (1, 2), (4, -1), (3, 9)}
Give the domain and range of S.
Write your answers using set notation.
The most appropriate choice for relation, domain and range will be given by-
Domain of S = {3, 1, 4}
Range of S = {0 , 2, -1, 9}
What is relation, domain and range?
A relation over set A and B is the subset of the cartesian product A x B.
Domain of a relation is the set of values for which the relation is defined.
Range is the set of solution obtained on putting the values of domain.
The relation S is defined as follows
S = {(3, 0), (1, 2), (4, -1), (3, 9)}
Now the set of values for which the relation is defined is the domain of the relation
For each ordered pair, the first number gives the values to be put in S. So the first number of every ordered pair is the domain.
So domain of S = {3, 1, 4}
Now, the second number gives the solution after putting the numbers in S.
So the second number of every ordered pair represents the range.
So, range of S = {0 , 2, -1, 9}
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You have 40 stickers. Twenty-four of the stickers glow in the dark. What fraction of stickers, in fifths, do not glow in the dark?of the stickers
If 24 out of our 40 stickers glow in the dark, we would have 16 that don't
As a fraction relative to our total 40 stickers, those 16 would be:
[tex]\frac{16}{40}[/tex]Simplifying,
[tex]\frac{16}{40}\rightarrow\frac{2}{5}[/tex]hereby, 2/5 of the sticketrs don't glow in the dark
One boat sails 30 miles west and 22 miles north. Another boat sails 55 miles west and 40 miles north. Which boat traveled in the direction closest to due north?
The boat that sailed in the direction closest to due north is the both that has lesser angle to the vertical ,which is the boat that that sailed 30 miles west and 22 miles north.
How to find the boat that traveled in the direction closest to due northGiven data
One boat sails 30 miles west and 22 miles north
Another boat sails 55 miles west and 40 miles north
Say boat A sail 30 miles west and 22 miles north while boat B sails 55 miles west and 40 miles north
Boat A
let the angle boat A made with the vertical be a. This is given as
tan a = 30 / 22
a = arc tan ( 30 / 22 )
a = 53.746 degrees
Boat B
let the angle boat B made with the vertical be b. This is given as
tan b = 55 / 40
b = arc tan ( 55 / 40 )
b = 53.973 degrees
Comparing angle a and angle b shows that angle a is lesser hence boat A is the boat that sailed in the direction closest to the north
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A submarine was situated 800800 feet below sea level.
If it ascends 275275 feet, what is its new position relative to the sea level?
If a submarine was situated 800 feet below sea level. If it ascends 275 feet, its new position relative to the sea level is: -525 feet.
New position relative to the sea levelGiven :
Initial position of the submarine = 800ft below sea level
Ascending =275ft.
Hence, the New position relative to the sea level is calculated as:
New position relative to the sea level = (-800+ 275)
New position relative to the sea level = - 525 feet
Therefore the new position is: -525 feet.
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Kingston Federal Bank supervises all banks in Jamaica. One Jamaican dollar is equal to 0.0071 US dollars. If Usain Bolt made a $ 3,000 deposit with Kingston Federal Bank with a 5% growth rate, how much money would Usain Bolt have after two years? (dont use advanced math please)
Principal = $3000
Rate = 5%
time = 2
Amount after 2 years =
[tex]\begin{gathered} =p(1+r)^t \\ =\text{ 3000( 1 + }\frac{5}{100})^2 \end{gathered}[/tex][tex]\begin{gathered} =3000(1+0.05)^2 \\ =\text{ 3000( 1.05)2} \\ =\text{ 3000 }\times\text{ 1.05 }\times\text{ 1.05} \end{gathered}[/tex]= $3307.5
Option D is the correct answer
The store manager put 7 belts in sale. The belts were originally $16. The manager marked down the price of the belts by 40% how much money did the store receive for selling all 7 belts
Original price: $16
Discount: 40%
First, multiply the original price by the percentage discount in decimal form (divided by 100)
16 x 40/100 = 16 x 0.4 = $6.4 ( discount amount)
Subtract the discount amount to the original price
16-6.4 = $9.6 new price
multiply by 7 :
9.6 x 7 = $67.2
solve the equation. (x + 4)^2 = 15 - 2x^2.
Quadratic Formula
The equation has two solutions [tex]x_{1}[/tex] = [-4 + 2√13]/3] and
[tex]x_{2}[/tex] = [-4 - 2√13]/3]
Given the question:
(x + 4)^2 = 15 - 2x^2.
To solve the above Equation by using Quadratic Formula:
Solving Steps of Equation:
[tex](x+4)^2 = 15 -2x^2[/tex]
Expand the expression
[tex]x^{2} +8x+16=15-2x^2[/tex]
Move the expression to the left
[tex]x^{2} +8x+16-15+2x^2[/tex] = 0
Collect like terms
[tex]3x^{2} +8x+1=0[/tex]
Use the Quadratic formula:
x = [-b ± √(b2 – 4ac)]/2a
x = [-8 ± √(8^2 – 4x3x1)]/2x 3
Multiply and evaluate :
x = [-8± √(64 – 12)]/6]
Calculate:
x = [-8± 2√13]/6]
Separate the solutions
[tex]x_{1}[/tex] = [-4 + 2√13]/3]
[tex]x_{2}[/tex] = [-4 - 2√13]/3]
Hence, The equation has two solutions [tex]x_{1}[/tex] = [-4 + 2√13]/3] and
[tex]x_{2}[/tex] = [-4 - 2√13]/3]
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WILL GIVE BRAINIEST TO THE FRIST CORRECT ANSWER I SEE!!!!!!!!!!!!!!!
Five friends ate lunch and spent a total of $63.75. They each bought the same meal for $9.75, and they each bought the same dessert.
Write and solve an equation to determine the cost of the dessert, d.
5(9.75)d = 63.75; d = 1.31
5(9.75 + d) = 63.75; d = 3.00
5d + 9.75 = 63.75; d = 10.80
5(9.75) + d = 63.75; d = 15.00
The written and solved equation to determine the cost of the desserts, d is 5(9.75 + d) = 63.75; d = 3.00
How to write and solve equations?Five friends ate lunch and spent a total of $63.75.
They each bought the same meal for $9.75, and they each bought the same dessert.
The equation to determine the cost of the dessert, d can be represented as follows:
They are 5 friends,
Hence,
5 (9.75 + d) = 63.75
48.75 + 5d = 63.75
Therefore, let's use the equation to solve for d.
48.75 + 5d = 63.75
63.75 - 48.75 = 5d
15 = 5d
divide both sides by 5
15 / 5 = 5d / 5
d = 3
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can someone please explain how to do this? it’s urgent!
The measure of the angle b is 61°.
In Euclidean geometry, an angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. The plane that contains the rays contains the angles created by two beams.
Vertical Angles (Vertically Opposite Angles): The opposing angles created by the junction of two lines are known as vertical angles or vertically opposite angles. A pair of angles that are vertically opposed to one another are always equal.
The figure describes two angles 61° and b.
Now, from the figure the angles 61° and b are vertically opposite angles.
Therefore, the angles are equal.
b = 61°
Hence, the measure of angle b is 61°.
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Round all answers to 4 decimal places.
a. A bag contains 4 white marbles, 10 blue marbles, and 3 red marbles. If a marble is drawn from
the bag, replaced, and another marble is drawn, what is the probability of drawing first a white
marble and then a red marble?
b. A bag contains 10 green marbles, 3 red marbles, and 4 blue marbles. If two different marbles
are drawn from the bag, what is the probability of drawing first a green marble and then a blue
marble?
The probabilities are (a) 0.4228, and (b) 0.8382
Define probability?
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. The greater the likelihood of an occurrence, the more probable it will occur. Tossing a fair (unbiased) coin is a basic example. Because the coin is fair, the two possibilities ("heads" and "tails") are equally likely; the chance of "heads" equals the probability of "tails," and because no other outcomes are possible, the probability of either "heads" or "tails" is 1/2.
(a) probability of drawing first a white marble and then a red marble
= 4/(4+10+3) x 3(3+10+3) = 4/17 + 3/16 = 0.4228
(b) probability of drawing first a green marble and then a blue marble
= 10/(10+3+4) x 4(9+3+4) = 10/17 + 4/16 = 0.8382
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The ratio of the number of miles run to the number of miles biked is equivalent for each row in the table
When the ratio of the number of miles run to the number of miles biked is equivalent for each row in the table, the value for A is C. 2 3/4.
How to illustrate the information?It should be noted that based on the information, the table has been given and the appropriate figures have been put into it.
The constant rate will be:
7 / 3 1/2 = 2
Now we can then write the relationship and this is illustrated as:
B = 2R
where B is the distance biked
R = the distance that's run.
We want to find the missing value of A. This is illustrated as:
5 1/2 = 2 × A
2A = 5 1/2
A = 2 3/4
Therefore, based on the information given, the correct option is C.
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The ratio of the number of miles run to the number of miles biked is equivalent for each row in the table.
Complete the table for A
A 2 1/4
B 2 2/4
C 2 3/4
D 3 3/4
1. Solve the inequality.
6x2 – x<2
Please show your work using methods learned in unit 1:
1) Factor
2)Discover the interval or intervals as learned in this unit.
3) Use a number line to graph.
4)State your answer in interval notation.
The solution of the inequality expression in interval notation is;
-1/2 < x < 2/3 and the number line is attached
How to solve the Inequality?We are given the Inequality expression as;
6x² - x < 2
To express the function in quadratic form, we subtract 2 from both sides to get;
6x² - x - 2 < 0
We now factorize this expression to get;
(2x +1)(3x - 2) < 0
This means that we have two inequalities solution which are expressed as; (2x + 1) < 0 and (3x - 2) < 0
For (2x + 1) < 0, add 1 to both sides to get;
2x < 1
divide both sides by 2 to get;
x < 1/2
Similarly, for (3x - 2) < 0;
Add 2 to both sides and then divide by 3 to get;
x < 3/2
Thus, the solution to the inequality is x = -1/2 and x = 3/2
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1=0.76r-9-0.36r[tex]1 = 0.76r - 9 - 0.36r[/tex]
Do you have a picture of your question?
Send it please
ok, ready
1 = 0.76r - 9 - 0.36r
1 + 9 = 0.76r - 0.36r
Simplify like terms
10 = 0.4r
Solve for r
r = 10/0.4
r = 25
Result
r = 25
b)
[tex]\begin{gathered} \text{ -5 = }\frac{1}{4}z\text{ - 20 + }\frac{1}{2}z \\ \text{ -5 + 20 = }\frac{1}{4}z\text{ + }\frac{1}{2}z \\ \text{ 15 = }\frac{1\text{ + 2}}{4}z \\ \text{ 15 = }\frac{3}{4}z \\ \text{ 15x4 = 3z} \\ \text{ 60 = 3z} \\ \text{ z = }\frac{60}{3} \\ \text{ z = 20} \end{gathered}[/tex]Result
z = 20
Pls answer also
Indicate which property is illustrated in Step 2.
Distributive property is illustrated in Step 2.
What is a distributive property ?The distributive law, which states that in elementary algebra, equality is always true, is generalized by the distributive principle of binary operations.A, B, and C are the operands in the formula for the distributive property, which is written as a (b + c) = (a b) + (a c). Here, each phrase included in a bracket multiplies the number outside of it, and the results are added.According to the associative property, any three terms in an expression can be combined together to solve it. The arrangement of the numbers will never alter the outcome of their computation. For addition and multiplication, the associative property holds true.To learn more about : Distributive law
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The length of the shadow of a 4 ft stick can be found by comparing its shadow to the shadow of a 32 ft tall building. The building had a shadow 6 ft long. How long would the stick's shadow be at that time?
The shadow of the 4 feet stick is 3/4 feet or 0.75 feet.
It is a question of ratio and proportion.
It is given in the question that the 32 feet tall building had a shadow 6 feet long.
We have to find the length of the shadow of a 4 ft stick.
Let the length of the shadow of a 4 ft stick be x.
We know that length and shadow of a 4 feet stick and a 32 feet building will be in proportion.
Hence, we can write,
Length of building/Length of stick = shadow of building/shadow of stick
32/4 = 6/x
8 = 6/x
x = 6/8 feet = 3/4 feet = 0.75 feet
x = 0.75 feet.
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Which set of ordered pairs does not represent a function?O {(2,9), (2,-5),(-6,3), (4, -7)}O {(-7,5), (3,9), (0, 1), (6,5)}O {(0,7), (-5,3), (-9, -1), (1,7)}o {(-1,-8), (2,8), (0,6), (-6, -1)}Submit Answer
{(2,9), (2,-5),(-6,3), (4, -7)} this pair doesn't represent a function
A mathematical function is a relationship that is established between two sets, through which each element of the first set is assigned a single element of the second set or none at all. The initial set or starting set is also called the domain; the final set or arrival set is called the rank.
Since in this set two elements of the range are associated with the same element of the domain [(2,9) and (2,-5)], we can conclude that it is not a function
Answer the following:
a) 3 x √25 =
b) √(2 x 50)
=???
After evaluating, we get
3 *√25 = 15√(2 * 50) = 10In the given question, we are given two expressions that include numerical in Roots. We have to calculate their values for each.
These are examples of Products. Product is when two numbers or terms are multiplied together.
The first expression is represented by:
=> 3 *√25, Calculating this expression we get
=> 3 * 5
=> 15
The second expression is represented by:
=> √(2 * 50), calculating this expression we get
=> √(100)
=> 10
Hence, after calculating both A. and B. expressions we get values 15, and 10 respectively
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Add the polynomials?