Answer:
A) 4*4x-4*3 and 16x-12
B) 12y+15y and 27y
Step-by-step explanation:
For A when you do the distributive property, you get:
4(4x-3)
4*4x-4*3 (which is one of the choices)
16x-12 (which is one of the choices)
For B when you combine like terms, you get:
12y+5y+10y
12y+15y (which is one of the choices)
27y (which is one of the choices)
There are 40 students playing dodge ball in a high school gym that is 100 feet long by 60 feet wide. There are 12,000 balls available in the gym to throw. What is the population density of the balls in the gym (balls per square foot)?
Answer:
I've never done this before, but if it is balls per square foot, then i can figure it out. It is 2 balls per square foot
Step-by-step explanation:
If the gym is 100 ft by 60 ft, it will be 6,000 square ft. Since there are 12,000 balls, you divide it by 6,000 (12,000/6,000), which is 2, so it would be 2 balls per square foot
The population density of the balls in the gym is calculated by dividing the total number of balls (12,000) by the gym's area (6,000 square feet), resulting in 2 balls per square foot.
The question asks for the population density of the balls in a gym that measures 100 feet in length and 60 feet in width, with a total of 12,000 balls available. First, we must calculate the total area of the gym to determine how many balls there are per square foot. The formula for the area is length × width, so the area of the gym is 100 feet × 60 feet = 6,000 square feet.
Next, to find the population density of the balls, we divide the total number of balls by the total area of the gym. Therefore, the population density is 12,000 balls ÷ 6,000 square feet = 2 balls per square foot. This calculation offers a simple way to visualize how densely the balls are distributed throughout the gym's space.
20 POINTS PLEASE ANSWER
Use the relationships between the angles to find the value of x
Answer:
x = 25 degrees
Step-by-step explanation:
So we know that the 4x, 2x + 10°, and x - 5° and the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180°.
Using this, we can conclude that the sum of 4x, 2x + 10°, and x - 5° is equal to 180°.
We can write this information as the equation:
4x + (2x + 10) + (x - 5) = 180
We can use this equation to find the value of x. To find the value of x by using the equation, we need to solve for x (put the equation into the form x = _).
Solve for x:
4x + (2x + 10) + (x - 5) = 180
4x + 2x + 10 + x - 5 = 180
Combine like terms.
7x + 5 = 180
Subtract 5 from both sides to get rid of the +5 on the left side.
7x = 180 - 5
Simplify.
7x = 175
Divide both sides by 7 to get rid of the coefficient of 7 on the left side.
x = 175 ÷ 7
Simplify.
x = 25.
x would be equal to 25°.
x = 25 degrees
I hope you find this helpful. :)
A card is chosen at random from a deck of 52 cards. It is replaced and a
second card is chosen. What is the probability both cards will be an Ace? a. 1/169 b. 2/13 c. 1/26 d. 1/13
Answer:
A [[tex]\frac{1}{169}[/tex]]
Step-by-step explanation:
The probability that the first card is an Ace is [tex]\frac{4}{52}[/tex], or [tex]\frac{1}{13}[/tex], since there are 4 Aces in a 52-card deck. To pull another ace, the probability would be [tex]\frac{4}{52} \times \frac{4}{52}[/tex], which equals [tex]\frac{16}{2704}[/tex], or [tex]\frac{1}{169}[/tex].
Simplify 1260g:5400g
Answer:
7 : 30
Step-by-step explanation:
Simplifythis can be simplified by looking for a number that is common
we can first divide by 10 as this is common
1260/10 = 126
5400/10 = 540
we now have 126 : 540
we can divide by 2 as it is also common
126/2 = 63
540/ 2 = 270
we can also divide by 9 as its also common
63/9 = 7
270/9 = 30
the simplified answer is :
7 : 30At a local movie theater sodas cost 4.50 and bags of popcorn cost 1.50. If Kirk buys three times as many bags as popcorn as sodas and pays a total of 36 determine how many of each item Kirk bought
Answer:
12 bags of popcorn and 4 sodas
Step-by-step explanation:
Quantity: Popcorn =3x Sodas=x
Value: Sodas - $4.50, Popcorn - $1.50
Total Value: $36
3x(1.5)+4.5x=36
4.5x+4.5x=36
9x=36
x=4
Therefore, 12 bags of popcorn and 4 sodas
The number of sodas and popcorn Kirk bought is 4 and 12 respectively.
let
Number of sodas bought = xNumber of popcorn bought = 3xCost of soda = 4.50cost of popcorn = 1.50Total cost = 36How to solve equation(4.50×x) + (1.50×3x) = 36
4.50x + 4.50x = 36
9x = 36
x = 36/9
x = 4
Therefore, the number of sodas bought,x is 4 and the number of popcorn bought, 3x = 3 × 4 = 12
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The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order?
City Altitude (feet)
Snowvale
Highbridge
Westsilver
Springmoor
ow
A. 58, 13,-35-51
B. 51, -35, 13, 58
C. -35.-51, 13,58
D. 58, 13.-51.-35
Reset
Reset
Next
Next
Answer:
A. 58, 13,-35,-51
Step-by-step explanation:
Start with the greatest positive number, 58. Then use the next greatest positive number, 13. When it comes to negative numbers, the number with the smaller absolute value is greater.
|-35| = 35
|-53| = 53
-35 has a smaller absolute value than -53, so -35 is greater than -53.
Answer: A. 58, 13,-35,-51
Answer:
A
Step-by-step explanation:
I am just smart U-U
With this diagram, what could be the values of c and d?
None of the options is true about the values of c and d
What could be the values of c and d?From the question, we have the following parameters that can be used in our computation:
The diagram
Where, we have
c = integers
Also, we have
d = Whole numbers, positive integers and zero
Using the above as a guide, we have the following:
None of the options is true
This is so because the options do not define the possible values of c or d or both
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What is the sum of -6 4/5 and 6 4/5?
A) 12 4/5
B) 29/5
C) 0
D) -12 4/5
Answer:
Option C, 0
Step-by-step explanation:
Step 1: Create improper fractions
-6 4/5 = -6*5/5 - 4/5 = -30/5 - 4/5 = -34/5
6 4/5 = 6 * 5/5 + 4/5 = 30/5 + 4/5 = 34/5
Step 2: Add
-34/5 + 34/5
0
Answer: Option C, 0
Answer:
Answer is C: 0
Step-by-step explanation:
A model rocket is launched from the ground with an initial velocity of 100 feet per second. How many seconds later does the rocket hit the ground?
Enter your answer as a number rounded to the nearest tenth, such as: 42.5
Answer:
6.3
Step-by-step explanation:
The rocket hits the ground at the same speed it left, only the velocity is downward, rather than upward. That is, the change in velocity is from +100 ft/s to -100 ft/s, a total change of 200 ft/s. The change in velocity is brought about by the acceleration due to gravity, 32 ft/s/s. The time required for the observed change in velocity is ...
(200 ft/s)/(32 ft/s²) = 6.25 s
Rounded to tenths, it takes the rocket 6.3 seconds to hit the ground.
_____
The equation for the ballistic motion of the rocket is ...
h(t) = -1/2·gt² +v0·t
where g is 32 ft/s² and v0 is 100 ft/s. A graph of this equation shows the rocket hits the ground at 6.25 seconds, as above.
8. What is the equation 2x + y = 9 written in slope-intercept form
Answer:
y=-2x+9
Step-by-step explanation:
slope formula
y= mx+ b
so 2x+y=9 can be rewritten by moving 2x to the other side of the equation:
1.
y=9-2x
2. (reorder)
Y= -2x+9
there you go
The triangles shown are similar. Find MV.
Answer:
9 units
Step-by-step explanation:
The complete question in the attached figure
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
[tex]\frac{MT}{CS}=\frac{MV}{CI}[/tex]
substitute the given values
[tex]\frac{3}{2}=\frac{MV}{6}[/tex]
solve for MV
Multiply in cross
[tex]2MV=3(6)\\MV=9\ units[/tex]
12. Kareem asks the 30 people in his physics class whether they enjoy eating lunch in the
cafeteria, and 18 of them say yes. Kareem knows there are 860 students in his high school, so
he estimates the total number of students who enjoy eating lunch in the cafeteria. How many
students are there?
Answer:
504
Step-by-step explanation:
just an estimate, 860/30 is roughly 28 so 28x18=504
PLEASE HELP QUICK :(((
solve all, SHOW YOUR WORK
1. 2x + 8 = 16
2. 3a + 2 = 17
3. 3c – 4 = 14
4. 3a – 5 = 7
please answer, ill give brainliest to the correct answer
MARK BRAINLIEST PLZZZ :))))))
Answer:
1. x=4
2. a=5
3. c=6
4. a=4
Step-by-step explanation:
#1. 2x+8+16
subtract 8 from both sides
Divide both numbers by 2
x=4
#2. 3a+2=17
subtract 2 from both sides
Divide both numbers by 3
a=5
#3. 3c-4=14
add both numbers by 4
Divide both numbers by 3
c=6
#4. 3a-5=7
add both numbers by 5
divide both numbers by 3
a=4
Use the information given to correctly complete the sentence.
A scientist observes that a zebra ran 54 yards in 135 seconds.
The zebra ran at a rate of
feet per minute.
Answer:
72feet/min
Step-by-step explanation:
The following were obtained from the question:
Distance = 54 yards
But: 1yard = 3feets
Therefore, 54 yards = 54 x 3 = 162feets
Time = 135secs
Recall: 60secs = 1mins
Therefore, 135secs = 135/60 = 2.25mins
The rate of the Zebra = Distance /time
The rate of the Zebra = 162/2.25 = 72feet/min
Number Sense Which product is greater, 9×15 or 9×17? Explain how you can tell without finding the products.
simplify (-3e^-5x)^2
Answer:
25x^2 + 30e^5x + 9 e^10
Step-by-step explanation:
What is the measure of angle PQR?
m∠PQR = °
What is the measure of angle QNP?
m∠QNP =
Answer:
40 and 60
Step-by-step explanation:
the answers are 40 and 60
Answer:
First column is 40, and the second one is 60
Step-by-step explanation:
Got it right on edge:)
The mean weight of the packages Joan shipped was 2.5 pounds. If Joan mailed four packages and three of them had weights of 1.8, 3.2 and 2.7 pounds, then what did the other package weigh?
2.8
2.3
3.3
Answer:
2.3 is the answer
Step-by-step explanation:
Name the unknown package n
[1.8 + 3.2 + 2.7 + n]/4 = 2.5
[7.7 + n] = 2.5 × 4
7.7 + n = 10
n = 10 - 7.7
n = 2.3
Please help. I’ll mark you as brainliest if correct!
Nicole is hosting a large bridal shower for her friend and has $332 in her budget to rent a facility. The facility she chose for the party requires an $74 deposit plus $59 per hour. If there is no damage to the facility, one-half of the deposit is refunded. If Nicole expects to get the deposit refund, for how many hours can she rent the facility for the bridal shower?
Answer:
Nicole can rent the facility for 3 Hours.
What can you multiply to get 64 and add to get -12
what system of equation represents this situation?
Answer:
It's choice A.
Step-by-step explanation:
Kevin is 3 years older than Daniel gives:
k = d + 3.
2 years ago kevin is aged k - 2 and daniel d - 2 years.
So:
k - 2 = 4(d - 2).
The library carries a total of 750 biography, mystery, fantasy, and science
fiction books. There are 3 times as many science fiction books as fantasy books, twice as many mystery books as
fantasy books, and four times as many biographies as fantasy books. Write an equation that describes the
number of each type of book in the library. How many of each genre is there in the library?
Answer: 3F+2F+4F+F=750
science fiction=225
mystery=150
biographies=300
fiction=75
Step-by-step explanation: To find the equation, read through the question and write down any important information, such as there are 2 twice as many mystery book as fiction books (2*fiction books=mystery books). Once you have all the information written down place it in an equation set equal to the total (750).
After you have found the equation, solve for the fiction books (F) by isolating the variable. 3F+2F+4F+F=750, 10F=750, F=750/10, F=75.
After that you plug 75 into the equation. Which would get you 3*75= 225 science fiction books 2*75= 150 mystery books and 4*75=300 biographies
To solve the problem, fantasy books (F) are used as the variable. The equation F + 3F + 2F + 4F = 750 is solved to find F = 75, leading to 75 fantasy books, 225 science fiction books, 150 mystery books, and 300 biographies.
The student is tasked with determining the number of books in each genre in a library, given certain ratios between the numbers of books in different genres. Let's use fantasy books (F) as our variable since all other genres are described in relation to fantasy books. According to the problem, there are three times as many science fiction books as fantasy books, twice as many mystery books as fantasy books, and four times as many biographies as fantasy books. The total number of books is 750.
The equation that represents the number of each type of book can be defined as:
F + 3F + 2F + 4F = 750
Combining like terms, we get:
10F = 750
Dividing both sides by 10, we find:
F = 75
Now that we have the number of fantasy books, we can calculate the numbers for other genres:
Science fiction books: 3 × 75 = 225
Mystery books: 2 × 75 = 150
Biographies: 4 × 75 = 300
In the diagram, the measure of angle 5 is (10x -9), and the measure of angle 7 is (9x)". What is the measure of angle 6, to
the nearest degree?
What is the measure of angle 6, to the nearest degree?
81 degrees
90 degrees
99 degrees
105 degrees
Option C: 99° is the measure of angle 6
Explanation:
It is given that the measure of ∠5 is (10x-9)°
The measure of ∠7 is (9x)°
We need to determine the measure of ∠6
Since, from the diagram it is obvious that the angles 5 and 7 are vertical angles.
And, we know that the vertical angles are always equal.
Thus, we have,
[tex]\angle 5 = \angle 7[/tex]
[tex]10x-9=9x[/tex]
[tex]10x-9x-9=0[/tex]
[tex]x-9=0[/tex]
[tex]x=9\\[/tex]
Thus, the value of x is 9.
Substituting [tex]x=9\\[/tex] in ∠5 and ∠7, we have,
[tex]\angle 5= (10x-9)^{\circ}[/tex]
[tex]= (10(9)-9)^{\circ}[/tex]
[tex]= (90-9)^{\circ}[/tex]
[tex]= 81^{\circ}[/tex]
[tex]\angle 7=(9x)^{\circ}[/tex]
[tex]=(9(9))^{\circ}[/tex]
[tex]=81^{\circ}[/tex]
The measure of [tex]\angle 5 = 81^{\circ}[/tex] and [tex]\angle 7= 81^{\circ}[/tex]
Since, from the diagram we can see that the angles 6 and 7 are in a straight line.
And the angles in the straight line add up to 180°
Thus, we have,
[tex]\angle 6+\angle 7=180^{\circ}[/tex]
[tex]\angle 6+81^{\circ}=180^{\circ}[/tex]
[tex]\angle 6=180^{\circ}-81^{\circ}[/tex]
[tex]\angle 6 =99^{\circ}[/tex]
Thus, the measure of angle 6 is 99°
Therefore, Option C is the correct answer.
Answer:
C:99
Step-by-step explanation:
t is given that the measure of ∠5 is (10x-9)°
The measure of ∠7 is (9x)°
We need to determine the measure of ∠6
Since, from the diagram it is obvious that the angles 5 and 7 are vertical angles.
And, we know that the vertical angles are always equal.
Thus, we have,
\angle 5 = \angle 7∠5=∠7
10x-9=9x10x−9=9x
10x-9x-9=010x−9x−9=0
x-9=0x−9=0
\begin{lgathered}x=9\\\end{lgathered}
x=9
Thus, the value of x is 9.
Substituting \begin{lgathered}x=9\\\end{lgathered}
x=9
in ∠5 and ∠7, we have,
\angle 5= (10x-9)^{\circ}∠5=(10x−9)
∘
= (10(9)-9)^{\circ}=(10(9)−9)
∘
= (90-9)^{\circ}=(90−9)
∘
= 81^{\circ}=81
∘
\angle 7=(9x)^{\circ}∠7=(9x)
∘
=(9(9))^{\circ}=(9(9))
∘
=81^{\circ}=81
∘
The measure of \angle 5 = 81^{\circ}∠5=81
∘
and \angle 7= 81^{\circ}∠7=81
∘
Since, from the diagram we can see that the angles 6 and 7 are in a straight line.
And the angles in the straight line add up to 180°
Thus, we have,
\angle 6+\angle 7=180^{\circ}∠6+∠7=180
∘
\angle 6+81^{\circ}=180^{\circ}∠6+81
∘
=180
∘
\angle 6=180^{\circ}-81^{\circ}∠6=180
∘
−81
∘
\angle 6 =99^{\circ}∠6=99
∘
Thus, the measure of angle 6 is 99°
Therefore, Option C is the correct answer.
The graph shows the tip amount that 14 different customers left, based on the their bill. A trend line has been drawn for the data. The equation for the line is: y = 0.14x + 2.5. Which BEST interprets the slope of the linear model? .
A) A $1 increase in the bill is associated with a $2.50 increase in tip amount.
B) A $2.50 increase in the bill is associated with a $1 increase in tip amount.
C) A $0.14 increase in the bill is associated with a $1 increase in tip amount.
D) A $1 increase in the bill is associated with a $0.14 increase in tip amount.
Answer:
D) A $1 increase in the bill is associated with a $0.14 increase in tip amount.
Step-by-step explanation:
Slope is 0.14
= change in tip/change in bill
When change in bill is $1, change in tip is $0.14
The correct interpretation of the slope in the equation y = 0.14x + 2.5 is: C) A $0.14 increase in the bill is associated with a $1 increase in tip amount. The slope (0.14) represents the rate of change, indicating that for each dollar increase in the bill x, the tip amount y increases by $0.14.
The linear model's equation y = 0.14x + 2.5 signifies that for each dollar increase in the bill x, the tip amount y rises by $0.14. The slope, 0.14, represents the rate of change in the tip amount concerning the bill.
This implies that a $1 increase in the bill corresponds to a $0.14 increase in the tip. Option C, "A $0.14 increase in the bill is associated with a $1 increase in tip amount," accurately captures this relationship.
The slope provides insights into the proportional change between the bill and tip, highlighting the linear association in the data.
Find all complex solutions for the following equation by hand: 1+3/x=6/x^2
Answer:
x=-4.37 or 1.37
Step-by-step explanation:
The equation whose solution is to be found is;
[tex]1 + \frac{3}{x}= \frac{6}{ {x}^{2} } [/tex]
we now multiply through by
[tex]{x}^{2} [/tex]
This implies that;
[tex]( {x}^{2})1 +({x}^{2} \times \frac{3}{x})= {x}^{2} \times \frac{6}{ {x}^{2} }[/tex]
[tex] \implies{x}^{2}+3x=6[/tex]
Subtracting - 6 from both side we obtain;
[tex] {x}^{2} + 3x - 6 = 6 - 6[/tex]
[tex] \implies{x}^{2} + 3x - 6 =0[/tex]We now obtain a quadratic equation.So, let us use quadratic formula to find the solutions.
Comparing the equation ,
[tex]{x}^{2} + 3x - 6 = 0[/tex]
to the general quadratic formula,
[tex]a {x}^{2} + bx + c = 0[/tex]
we can say that,
a=1,b=3 and c=-6
putting this in to the quadratic formula,
[tex] \implies x = \frac{ -b\pm \sqrt{{b}^{2} - 4ac} }{2a} [/tex], we obtain
[tex]x = \frac{-3\pm \sqrt{ {3}^{2} - 4(1)(-6)} }{2(1)} [/tex]
Simplifying we obtain,
[tex] x = \frac{ -3\pm \sqrt{9+24}}{2} [/tex]
[tex] \implies x = \frac{-3-\sqrt{33} }{2}or \frac{-3+\sqrt{33}}{2} [/tex]
x=-4.37 or 1.37
Which measurement is most accurate to describe the amount of time it would take to drive to a city 100 miles away?
55 seconds
35 minutes
2 hours
70 minutes
Answer:
2 hours.
Step-by-step explanation:
There is no way a car can travel 100 miles away in minutes or seconds, and 70 minutes seems ridiculous. Although there are some exceptions, the best answer is two hours.
Factor -8x^3-2x^2-12x-3 by grouping. What is the resulting expression?
Answer:
(-2x^2-3)(4x+1)
Step-by-step explanation:
factor out -2x^2 from the first two terms, and -3 from last two terms
-2x^2(4x+1)-3(4x+1)
now factor out (4x+1)
(-2x^2-3)(4x+1)
Answer:Answer:
(-2x^2-3)(4x+1)
Step-by-step explanation:
factor out -2x^2 from the first two terms, and -3 from last two terms
-2x^2(4x+1)-3(4x+1)
now factor out (4x+1)
(-2x^2-3)(4x+1)
Step-by-step explanation:
Arithmetic number sequence definition
Answer:
An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
Step-by-step explanation:
Final answer:
An arithmetic number sequence is a sequence of numbers with a constant difference between consecutive terms, known as the common difference.
Explanation:
Arithmetic Number Sequence Definition
An arithmetic number sequence is a sequence of numbers in which the difference between consecutive terms is always the same. This fixed difference is often referred to as the common difference. For example, in the sequence 2, 5, 8, 11, ..., the common difference is 3, since each term is obtained by adding 3 to the previous term. The first term in an arithmetic sequence is usually denoted by a1, the common difference by d, and the n-th term can be expressed as [tex]a_{n}[/tex]= [tex]a_{1}[/tex] + (n - 1)d.
Arithmetic sequences are a fundamental topic in algebra and are utilized to solve various real-world problems. They also form a basis for understanding more complex patterns in mathematics, such as geometric sequences and series.
Quick Question!
What is 13×27÷6+8-17÷0×45×67×0×334?
The answer is right in front of you guys.
Also, does anybody know that Beanos meme?
Answer:
Undefined
Step-by-step explanation:
13×27÷6+8-17÷0×45×67×0×334 would equal undefined because you are dividing by 0. Anything divided by 0 is undefined.
If this answer is correct, please make me Brainliest!
It is unidentifiable, because nothing can be divided by 0
7. A soccer ball has a radius of 11 cm. Using * = 314, what is the approximate volume of the soccer ball in cubic
centimeters?
1520
4772
5572
3135
HELP
Answer:
5572
Step-by-step explanation:
The shape of the ball is the same as a sphere, applying the formula for find the volume of sphere we found the answer as
Volume = 5576cm^3
Given Data
Radius r = 11cm
Applying the expression for the volume of a sphere we have
Volume of sphere = 4/3*π*r^3
Substitute our given Data into the expression we have
Volume of sphere = 4/3*3.142*11^3
Volume of sphere = 4/3*3.142*1331
Volume of sphere = 16728.008/3
Volume of sphere = 5576.00
Hence the volume of the ball is 5576cm^3
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