Writing and solving an inequality to model the situation, it is found that Deondra could buy 14 sets of glasses for the restaurant to have enough glasses.
There are currently 344 glasses.In each set bought, there are 20 glasses.Hence, the total of glasses after s sets are bought is given by:
[tex]T(s) = 344 + 20s[/tex]
The restaurant needs at least 624 glasses, hence:
[tex]T(s) \geq 624[/tex]
[tex]344 + 20s \geq 624[/tex]
Solving the inequality:
[tex]344 + 20s \geq 624[/tex]
[tex]20s \geq 280[/tex]
[tex]s \geq \frac{280}{20}[/tex]
[tex]s \geq 14[/tex]
Deondra could buy 14 sets of glasses for the restaurant to have enough glasses.
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A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of swar to water
in the mixture?
Step-by-step explanation:
Ounces of water = 56 - 14 = 42 ounces
Ratio of sugar to water
56 : 42
8 : 6
4 : 3
What is the area of a square whose perimeter is 12x cm?
Answer:
9
Step-by-step explanation:
12/4=3
3*3= 9
Filler and more filler
The area of the square is 9 [tex]cm^{2}[/tex].
What is area?The space occupied by a flat shape or the surface of an object is called area.
Formula for the area of square?[tex]Area = a^{2}[/tex]
Where, a is the length of the side of a square
What is perimeter?Perimeter is the total length of the sides of a two-dimensional shape.
Formula for the perimeter of squarePerimeter of a square = 4a
Where, a is the side of a square
According to the given question
Perimeter of a square is 12cm.
Let a be the length of the side of a square.
Therefore,
Perimeter of the square = 4a
⇒ 12 = 4a
⇒ a = 12/4
⇒ a = 3cm
So, the area of square = 3cm × 3cm = 9 square cm
Hence, the area of the square is 9 [tex]cm^{2}[/tex].
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A hybrid car can go 400 miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?
Answer:
50 miles
Step-by-step explanation:
Take the number of miles and divide by the number of gallons
400 miles / 8 gallons
50 miles per gallon
Answer:
50 miles
Step-by-step explanation:
if for each 8 gallons it can go to 400 miles
so the 8 will be divided to 8 and get 1
and also divide the 400 into 8 you will get 50 miles per 1 gallon
Need a little help on this
Answer:
Step-by-step explanation:
This is an isosceles triangle. You can tell because 2 of the sides are equal and the third is not equal to either of the other two.
x + x + 56 = 180 Combine the left
2x + 56 = 180 Subtract 56 from both sides.
2x = 180 - 56
2x = 124 Divide by 2
x = 124/2
x = 62
flying against the wind, an airplane travels 5220 kilometers in 9 hours. flying with the wind, the same plane travels 6560 kilometers in 8 hours. what is the rate of the plane in still air and what is the rate of the wind?
a.
The rate of the plane in still air is 700 km/h
Let V = rate of plane in still air and v = rate of wind.
When flying against the wind, an airplane travels 5220 kilometers in 9 hours, we have that since distance = speed × time
(V - v) × 9 = 5220
V - v = 5220/9
V - v = 580 (1)
Also, flying with the wind, the same plane travels 6560 kilometers in 8 hours, we have that since distance = speed × time
(V + v) × 8 = 6560
V + v = 6560/8
V + v = 820 (2)
Adding equations (1) and (2), we have
V - v = 580 (1)
+
V + v = 820 (2)
2V = 1400
V = 1400/2
V = 700 km/h
So, the rate of the plane in still air is 700 km/h.
b.
The rate of the wind is 120 km/h
Substituting V into (1), we have
V - v = 580 (1)
700 - v = 580
v = 700 - 580
v = 120 km/h
So, the rate of the wind is 120 km/h
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Please help derivitive
Please dont comment if you dont know …
[tex]\lim \limits_{x \to 0^{+}} \left( \csc x + \dfrac 1x \right)\\=\lim \limits_{x \to 0^{+}} \csc x + \lim \limits_{x \to 0^{+}} \dfrac 1x\\\\=\infty[/tex]
Plsss helpp no links plss
Answer:
arrange them: -9x^3+2x^3-4x^2+x^2-6x-5x
the simplified is: -7x^3-3x^2-11x
three less than a number is -18
Answer:
-15
Step-by-step explanation:
work in reverse
-18 is three less than something
that means that something is 3 more than -18
so
add 3 to -18
-18+3= -15
ALOT OF POINTS FOR THIS ONE
Admission to the state fair is $12, and each ride ticket costs $3.50. Write an
expression to represent the situation and explain what the variable means.
3.50t + 12 where t represents the number of ride tickets
3.50a + 12 where a represents the cost of admission
12a + 3.50 where a represents the cost of admission
12t + 3.50 where t represents the number of ride tickets
Answer:
Step-by-step explanation:
12a + 3.50t x 6rides
What is 25% of 50?
Need answers :)
Answer:
12.5
Step-by-step explanation:
Answer: 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ooooooooooooooooooooooooo0oo00o00oo0oo0o0o0o0o0oooooooooooooooooo
Answer:
wat?
Step-by-step explanation:
merry christmas....yey!!
Simplify
O A. 6^16
O B. 6
O C. 6^4
O D. 1/6
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answer:
A (2,2) B (2,4) C (3,2) D (3,3)
Step-by-step explanation:
K = 1/2
K is the scale factor so the distance between points will be cut in half
A 4,4 new 2,2
B 4,8 new 2,4
C 6,4 new 3,2
D 6,6 new 3,3
Answer:
A = (2,2)
B = (2,4)
C = (3,2)
D = (3,3)
Step-by-step explanation:
Leave a brainliest if this helped
Given f(x)=1/4(5−x)2 what is the value of f(11)?
Answer:
-3
Step-by-step explanation:
Substitute the value of 11 into x within the function so it would be f(11) = 1/4(5-11)2 which is - 3.
Need help need help need help need help need help need help need help
Answer:
10 to 11 would be correct
Answer:
10 to 11
Step-by-step explanation:
If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
Answer:
Step-by-step explanation:
a+√b
a-√b
Company A makes 20 notebooks in 4 hours. Company B make 28 notebooks in
3 hours. Write a statement comparing the number of notebooks made per
hour.
right answers only plz and thank you :)
The required value of "k" is 8. Option B is correct
Given the polynomial function
[tex]P(x) =2x^3-4x^2+kx-3[/tex]
What is remainder theorem?
The remainder theorem is a formula used to find the remainder when a polynomial is divided by a linear function.
If this polynomial has a factor of x - 1 and remainder of 3, hence x = 1 and P(x) = 3. This means that P(1) = 3
[tex]P(1) =2(1)^3-4(1)^2+k(1)-3\\3 = 2-4+k-3\\6 = -2 + k\\k = 8\\[/tex]
Hence the required value of "k" is 8
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Zayden has a total of 20 bills in his wallet. Also, his wallet only contains $50 and $100 bills. If the numbers of $50 and $100 bills are interchanged, the total amount of money in Zayden’s wallet would be $500 more than it originally was. Find the original amount of money in his wallet.
$
Step-by-step explanation:
x = number of $50 bills
y = number of $100 bills
x + y = 20
50x + 100y + 500 = 100x + 50y
50y + 500 = 50x
y + 10 = x
now we use that in the first equation :
y + 10 + y = 20
2y = 10
y = 5
x = y + 10 = 5 + 10 = 15
so, he has 15 $50 bills and 5 $100 bills = $750 + $500 = $1250 in his wallet
Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups
The required equation that represents the graph is y = x + 30
The standard linear equation is given as y = mx + b
m is the slope b is the y-interceptUsing the coordinates (20, 50) and (40, 70)
Get the slope of the line:
m = 70-50/40-20
m = 20/20
m = 1
Since the line cuts the y-axis at y = 30, hence the y-intercept is 30.
The required equation that represents the graph is y = x + 30
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QUESTION 15 PLEASE HELP ME ASAPP
Answer:
The line shifted up 8 units
Step-by-step explanation:
Function h gives the height of a tennis ball, in feet, t seconds after it is tossed straight up in the air. The equation h(t) = -16t2 +12t+10 defines function h
How do I get the answer for exponents? Please explain step by step to get marked!
Answer:
4900
Step-by-step explanation:
70^2 means 70*70
70*70=4900
Answer:
you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.
plss help me... with explanation
(20 pnts)
Answer:
B. slope
Step-by-step explanation:
Solve using substitution.
y = -9x - 8
y = -6x – 2
Please help
Answer:
y = 10; x = -2
Step-by-step explanation:
Because both are equal to y, you can set them equal to each other.
-9x - 8 = -6x - 2
- 6 = 3x
x = -2
y = -9(-2) - 8 = 10
Johnny has a box filled with 10 black marbles and 5 purple marbles what are the odds he pulls to black marbles in a row?
Answer:
3/7
Step-by-step explanation:
The first black marble is 10/15 and the second is 9/14. Multiply them together to get 3/7 after you simplify it.
Find two consecutive whole numbers that 60 lies between.
Answer: Benchmark numbers can be used to state that the square root of 60 is between 6 and 7.
Answer: 50 and 100
Step-by-step explanation:
( sorry if this is not what you meant ;-; )
Pls look at photos I’ll give 30 points
Work out m and c for the line: y = 8 − x
m=-1 and c=8 for the line y = 8 − x
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is y = 8 − x
This equation we can write in the form of slope intercept form
y=-x+8
y=(-1)x+8
Now compare the above equation with slope intercept form
m=-1 and c=8
Hence, m=-1 and c=8 for the line y = 8 − x
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