Answer:
1.) -11x 2.)-2x
joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 5050 total rooms. Joe had already reserved and paid for 16 1616 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 88 rooms and costs $ 900 $900dollar sign, 900. Let B BB represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? Choose 1 answer: Choose 1 answer: (Choice A) A 16 + 8 B ≤ 50 16+8B≤5016, plus, 8, B, is less than or equal to, 50 (Choice B) B 16 + 8 B ≥ 50 16+8B≥5016, plus, 8, B, is greater than or equal to, 50 (Choice C) C 16 + B ≤ 50 16+B≤5016, plus, B, is less than or equal to, 50 (Choice D) D 16 + B ≥ 50 16+B≥5016, plus, B, is greater than or equal to, 50 2) What is the least amount of additional money Joe can spend to get the rooms they need? dollars
The inequality expression is :
16 + 8B ≥ 50
Least amount that could be spent = $4500
The total number of rooms required should be atleast 50
Already booked = 16
Number of rooms per block = 8
If the number of blocks = B
Summing together :
Then we have :
16 + 8B ≥ 50
The leat additional amount to be spent:
(50 - 16) / 8
34/8 = 4.25
Least number of blocks, B = 5
Least amount = $900 * 5 = $4500
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Inequalities are used to represent unequal expressions.
The inequality that represents the scenario is: [tex]8B + 16 \ge 50[/tex].The least additional amount is $4500Given that:
[tex]Room = 50[/tex] at least
[tex]Reserved = 16[/tex]
[tex]Rate = 8[/tex] per block
A. The inequality
Let the number of blocks be B.
"At least" means, greater than or equal to. So, we have:
[tex]Rate \times B + Reserved \ge 50[/tex]
Substitute known values
[tex]8 \times B + 16 \ge 50[/tex]
[tex]8B + 16 \ge 50[/tex]
So, the inequality that describes the scenario is:
[tex](b).\ 8B + 16 \ge 50[/tex]
B. The least amount
Solve for B in: [tex]8B + 16 \ge 50[/tex]
[tex]8B \ge 50 - 16[/tex]
[tex]8B \ge 34[/tex]
Divide both sides by 8
[tex]B \ge 4.25[/tex]
The number of blocks cannot be a decimal. So, we round 4.25 to the smallest integer greater than 4.25
This gives:
[tex]B \ge 5[/tex]
The least number of block is 5.
Given that:
[tex]Cost = \$900[/tex] per block
The least amount is calculated as follows:
[tex]Least = B \times Cost[/tex]
So, we have:
[tex]Least = 5 \times \$900[/tex]
[tex]Least = \$4500[/tex]
Hence, the least additional money is: $4500
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23891-18939 answer pls thanks
Merhaba ;))
Answer:
4.952
#Başarılar
Answer:
4952Step-by-step explanation:
[tex]\begin{matrix}\space\space&2&3&8&9&\textbf{1}\\ -&1&8&9&3&\textbf{9}\end{matrix}\\\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:\\Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}\\\mathrm{Borrow\:}1\mathrm{\:from\:}9\mathrm{.\:\:The\:remainder\:is\:}8\\\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{8}&10\\ \space\space&2&3&8&\textbf{\linethrough{9}}&1\\ -&1&8&9&\textbf{3}&9\end{matrix}[/tex]
[tex]\begin{matrix}\space\space&\space\space&\space\space&\space\space&8&\textbf{11}\\ \space\space&2&3&8&\linethrough{9}&\textbf{\linethrough{1}}\\ -&1&8&9&3&\textbf{9}\end{matrix}[/tex]
[tex]\frac{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{8}&11\\ \space\space&2&3&8&\textbf{\linethrough{9}}&\linethrough{1}\\ -&1&8&9&\textbf{3}&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{5}&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&8&11\\ \space\space&2&\textbf{3}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&\textbf{1}&10&\space\space&8&11\\ \space\space&\textbf{\linethrough{2}}&3&8&\linethrough{9}&\linethrough{1}\\ -&\textbf{1}&8&9&3&9\end{matrix}}{\begin{matrix}\space\space&\textbf{\space\space}&\space\space&\space\space&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&\textbf{13}&\space\space&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{3}}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&\textbf{12}&10&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{13}}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&12&\textbf{18}&8&11\\ \space\space&\linethrough{2}&\linethrough{13}&\textbf{\linethrough{8}}&\linethrough{9}&\linethrough{1}\\ -&1&8&\textbf{9}&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{\space\space}&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&12&\textbf{18}&8&11\\ \space\space&\linethrough{2}&\linethrough{13}&\textbf{\linethrough{8}}&\linethrough{9}&\linethrough{1}\\ -&1&8&\textbf{9}&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{9}&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&\textbf{12}&18&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{13}}&\linethrough{8}&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{4}&9&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&\textbf{1}&12&18&8&11\\ \space\space&\textbf{\linethrough{2}}&\linethrough{13}&\linethrough{8}&\linethrough{9}&\linethrough{1}\\ -&\textbf{1}&8&9&3&9\end{matrix}}{\begin{matrix}\space\space&\textbf{0}&4&9&5&2\end{matrix}}\\\\=4952[/tex]
How do you tell when the slope is negative?
If the line goes downhill as you read from left to right, then the slope is negative.
The slope is positive when you go uphill, reading from left to right.
A slope of 0 means the line is completely horizontal or level
If the line is completely vertical, then the slope is undefined.
PLEASE HELP! What is the equation of the given quadratic function? (I'll put a picture of the graph)
Answer:
f(x)=x^2+8x+24
Step-by-step explanation:
The reason that it is the 4th one is because there is an x^2 which indicates a quadratic and it is negative because the quadratic is going down
Select the statement that is true about the temperatures -9°F and -7°F.
A
-7°F,< -9°F because -7°F is colder than -9°F.
B
-7°F > -9°F because -7°F is colder than -9°F.
C -7°F >-9°F because -7°F is warmer than -9°F.
D -7°F <-9°F because -7°F is warmer than -9°F.
Answer:
C. -7f > -9 because -7f is warmer than -9f
Step-by-step explanation:
Process of Elimination
You can rule out B and D because the answer contradicts itself.
Previous Knowledge
We know -7f is warmer than -9f because its closer to 0 so we can rule out A
Therefore through the process of elimination you can conclude the answer is C
X - 25 is a factor of 4x^2 -100?
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Answer : [tex]\boxed{(2x + 5 ) (2x - 5)}[/tex]
[tex]4x^2-25[/tex]
Rewrite [tex]4x^2[/tex] as [tex](2^x)^2[/tex].
[tex](2x)^2 - 5^2[/tex]
Rewrite [tex](2x)^2[/tex] as [tex]5^2[/tex].
[tex](2x)^2 - 5^2[/tex]
Since both terms are perfect squares, factor using the difference of squares formula, [tex]a^2 - b^2 = ( a + b ) ( a - b )[/tex] where [tex]a = 2x[/tex] and [tex]b = 5[/tex].
[tex](2x + 5 ) (2x - 5)[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Which of the following interpretations for the given expression is correct?
Answer:
Step-by-step explanation:
Hello friend!!!!!
Third option is the correct answer.
Hope this helps
plz mark as brainliest!!!!!!!
Step-by-step explanation:
Hey, there!!
Option 3 is the correct answer.
here,
when we cube the sum of 5 and 3 times y^2 it looks like,
=[tex] {(5 + 3 {y}^{2}) }^{3} [/tex]
now, when we divide it by cube of the product of 4 and y we get,
=[tex] \frac{ {(5 + 3 {y}^{2}) }^{3} }{ {4y}^{3} } [/tex]
so, answer is option 3.
Hope it helps..
Find the value of x.
2549
What are the roots of the equation x ^2+ 6x + 8 = 0?
Hi there! :)
Answer:
[tex]\huge\boxed{x = -4, -2}[/tex]
x² + 6x + 8 = 0
Factor the equation by finding two numbers that sum up to 6 and multiply into 8:
4 + 2 = 6
4 ×2 = 8
Rewrite in factored form:
(x + 4) (x + 2) = 0
Find the roots using the Zero-Product Property:
x + 4 = 0
x = - 4
x + 2 = 0
x = -2.
Therefore, the roots of this equation are at x = -4 and -2.
Drag each expression to the correct location on the solution. Not all expressions will be used.
Answer:
Hey there!
[tex]8x^3+2x^2-20x-5[/tex]
[tex](8x^3+2x^2)+(-20x-5)[/tex]
[tex]2x^2(4x+1)+(-5)(4x+1)[/tex]
[tex](2x^2-5)(4x+1)[/tex]
Let me know if this helps :)
The solution of the expression are,
⇒ (4x + 1) (2x² - 5)
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;
The expression is,
⇒ 8x³ + 2x² - 20x - 5
Now, We can simplify as;
⇒ 8x³ + 2x² - 20x - 5
⇒ (8x³ + 2x² ) + (- 20x - 5)
⇒ 2x² (4x + 1) - 5 (4x + 1)
⇒ (4x + 1) (2x² - 5)
Thus, The solution of the expression are,
⇒ (4x + 1) (2x² - 5)
Learn more about the mathematical expression visit:
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What is the decimal equivalent of each fraction, and/or the fraction equivalent of each decimal? A. 1/4 B. .625 C. 2 7/8
Answer:
A. 0.25 B. 625/1000 C. 0.875
there are infinite number of correct answers just make sure you identify what
The Diplodocus dinosaur is believed to have become extinct approximately 1.38 x 108 years ago.
The Oviraptor is believed to have become extinct approximately 7 x 10 years ago. How many
years were there between the extinction of these two dinosaur types?
big boy points for big boy question
Answer:
36[tex]\sqrt{3}[/tex] + 72
Step-by-step explanation:
The length of the rectangle = diameter of 2 circles = 4 × 3 = 12 mm
The width of the rectangle = 2 radii + distance d between radii ( lower to upper )
Using the right triangle formed by joining the 3 centres with legs 3 and d and hypotenuse 6
Using Pythagoras' identity, then
d² + 3² = 6²
d² + 9 = 36 ( subtract 9 from both sides )
d² = 27 ( take the square root of both sides )
d = [tex]\sqrt{27}[/tex] = 3[tex]\sqrt{3}[/tex]
Thus width of rectangle = 3 + 3[tex]\sqrt{3}[/tex] + 3 = 6 + 3[tex]\sqrt{3}[/tex]
Hence
area = length × width
= 12 × (6 + 3[tex]\sqrt{3}[/tex] ) = 36[tex]\sqrt{3}[/tex] + 72 mm ²
36 [tex]\sqrt{3}[/tex]+ 72
The length of the rectangle = diameter of 2 circles = 4 × 3 = 12 mm
The width of the rectangle = 2 radii + distance d between radii ( lower to upper )
Using the right triangle formed by joining the 3 centres with legs 3 and d and hypotenuse 6
Using Pythagoras' identity, then
d² + 3² = 6²
d² + 9 = 36 ( subtract 9 from both sides )
d² = 27 ( take the square root of both sides )
d = = 3
Thus width of rectangle = 3 + 3 + 3 = 6 + 3
Hence
area = length × width
= 12 × (6 + 3 ) = 36 + 72 mm ²
convert 12500 euros into cedis at rate of 1 euro is equal to 4.9 cedis
Answer:
12,500 euro = 61,250 cedis
Step-by-step explanation:
1 euro = 4.9 cedis
12500 euro = 4.9 * 12500 cedis
12,500 euro = 61,250 cedis
Please help 100 points please ASAP :(((
Answer:
1. line
2. line segment
Answer:
mark the other girl brainiest
Step-by-step explanation:
Subtract 2 5
3 — — —
9 9
Answer:
2 2/3 or 24/9
Step-by-step explanation:
3 2/9 - 5/9 = 24/9 = 2 6/9
3*9+2 = 29/9
29/9 - 5/9 = 2 6/9
2 6/9 turns into 2 2/3
2 2/3 is equal to 24/9
Answer:
2 2/3
Step-by-step explanation:
What you do is make 3 2/9 into an improper fractions --> 9 * 3 + 2 = 29/9
29/9 - 5/9 = 24/9
So, now you're going to make 24/9 into a mixed number which is 2 6/9 --> 2 2/3
use the graph to determine the domain and range of the relation and state whether the relation is a function
Answer:
the domain is {0, 1, 2, 3, 4... to positive infinity}
The range is {-1, -3, 0, -4 and so on}
this is not a function
Step-by-step explanation:
domain is a set of all x values, so just write the x values based on the graph
range is a set of all y values, so just write y values based on the graph
not function because it doesnt satisfy with the vertical line test.
i hop it help u
What is the degree of
5x^2 -4x+2x^3
Answer:
This is a third-degree trinomial.
Step-by-step explanation:
To find the degree of a polynomial, simply look at the term with the highest power. In the case of this polynomial, the term with the highest power is 2x^3 which is a third power. Hence, this is a 3rd degree trinomial.
Cheers.
brainliest for anyone that answers correctly
Answer:
Hey there!
Your answer is close- but not quite! You chose y=10x, however, if you look closely, the cost is 10 at 2 sandwiches. Thus, the slope should be 5, and correct answer would be y=5x.
Let me know if this helps :)
Answer:
the answer should be C
if m<FHI=142, what are m<FHG and m<GHI
angle FHG = 42 degrees
angle GHI = 100 degrees
=========================================================
Explanation:
FHI is the largest angle. It is split into two pieces FHG and GHI which have measures of (3x+6) and (9x-8) degrees respectively.
Put another way, those two smaller angles (FHG and GHI) combine to form the larger angle (FHI)
This is the angle addition postulate.
------------------
(angle FHG) + (angle GHI) = angle FHI
(3x+6) + (9x-8) = 142
3x+6+9x-8 = 142
(3x+9x) + (6-8) = 142
12x - 2 = 142
12x-2+2 = 142+2 ... adding 2 to both sides
12x = 144
12x/12 = 144/12 .... dividing both sides by 12
x = 12
------------------
Use that x value to find the angles we're after
angle FHG = 3x+6 = 3*12+6 = 36+6 = 42
angle GHI = 9x-8 = 9*12-8 = 108-8 = 100
Note how
(angle FHG) + (angle GHI) = 42 + 100 = 142
which is the measure of angle FHI. This confirms the answers.
Theresa runs 2/7 of a mile in 1/4 of an hour. How fast does she run per hour?
Answer:
15/28
Step-by-step explanation:
please help me on this geometry!!!
Answer:
∠ PQR = 143°
Step-by-step explanation:
∠ PQR and ∠ SQR are adjacent angles and are supplementary, thus
∠ PQR = 180° - 37° = 143°
What is the point of comparing prices?
Answer:
To know which is better to pay.
Step-by-step explanation:
Good Luck
Esteban finds 12 baseball cards on Monday and 24 more baseball cards on Tuesday. He gives some baseball cards to his sister, and now he has 13 baseball cards left. How many cards did he give to his sister?
Answer: 23
Step-by-step explanation: he had 12 and 24 which makes 36
then he had 13 which means he gave 23 because adding them together gives the original amount
In a class of 40 students, 30 read chemistry and 20 read physics. If all the students read at least one if the subjects, find the probability that a student selected at rand from the class reads only chemistry
hi
40 students
30 read chemistry
20 read physics
so logical deduction is that 10 read chemistry and physics.
So only 20 read only chemistry and only 10 read only physics.
So read only chemistry is 20/40 = 1/2
Answer as a fraction = 1/2
Answer in decimal form = 0.5
Answer in percent form = 50%
All three represent the same idea, but in a different form.
=======================================================
Work Shown:
30 read chem, 20 read physics
30+20 = 50 read either one, but this is over 40, so 50-40 = 10 students must read both
From that,
30-10 = 20 read chem only
20-10 = 10 read physics only
This makes the venn diagram you see below
Divide the number of people who read chemistry only (20) over the total number of people (40). This gives 20/40 = 2/4 = 1/2
Then you would use your calculator to find 1/2 = 0.5 = 50%
Read the paragraph. Replace each underlined noun by writing a pronoun above it.
Then, read the new paragraph.
Answer:
Step-by-step explanation:
She
She
Her
He
Their
They
They
Their
We
They
Him
what is the value of y in the equation 6.4x+2.8y=44.4,when x=3?
Answer:
y = 9
Step-by-step explanation:
6.4x + 2.8y = 44.4
6.4(3) + 2.8y = 44.4
19.2 + 2.8y = 44.4
2.8y = 25.2
y = 9
Point E has a positive y-coordinate
please help me with this problem :))
Answer:
ONE IS DA ANSWR 1
Step-by-step explanation:
so 5/12 +5/6 simpify 5/6 you get 5/12 + 10/12 = 15/12 and 15/12 is 1 and 3/12 1/3