The expression 20x + 10y represents the profit and the maximum profit is N 470, and the greatest number of packets she buys is 50.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
A shopkeeper orders packets of soap powder. The cost price of a large packet is N180 and that of a small packet is N80.
Let's suppose the number of the large packets is x
The number of small packets is y.
The greatest number of packets she buys = 4000/80 = 50
The maximum amount can be spent = N 4000
180x + 80y ≤ 4000
Profit will be:
= 20x + 10y
The arrangements gave maximum profit:
x y Cost Profit
10 27 3960 470
11 25 3980 470
12 23 4000 470
The maximum profit = N 470
Thus, the expression 20x + 10y represents the profit and the maximum profit is N 470, and the greatest number of packets she buys is 50.
Learn more about the inequality here:
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help me pls asap
Draw models to demonstrate that multiplying by a fraction
less than one will result in a product less than the whole number you
started with.
Answer: B
Step-by-step explanation:
in 2010, haiti was hit by a devastating earthquake, which registered at 7.0
Answer:Richter scale measures intensity of earthquake as power of 10. The intensity of the Chilean earthquake( year 1960) was approx 316.23 times greater than the earthquake in Haiti (year 2010)How to measure the greatness of earthquakes from Richter scale's intensities?Suppose that the first measured earthquake was of intensity (on Richter scale)Suppose the second measured earthquake was of intensity(on Richter scale).It is a fact that each unit of the the Richter scale measurement increases as the power of 10.So if b = a + 1, then the second earthquake was 10 times greater than the first earthquake.If we have b = a + x, then we have:Second earthquake was times greater than the first earthquake.As it was given that the earthquake in Haiti was of 7.0 intensity on Richter scale, and that the Chilean earthquake was about 9.5 intensity on Richter scaleThe difference is 9.5 - 7 = 2.5
Step-by-step explanation:
Factor completely 8x5 2x4 4x2. Prime 2(4x5 x4 2x2) 2x(4x4 x3 2x) 2x2(4x3 x2 2).
The complete factor of the expression [tex]\rm 8x^5 + 2x^4 + 4x^2[/tex] is [tex]\rm 2x^{2} (4x^3 + x^2 + 2 )[/tex]correct option is D.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is [tex]\rm 8x^5 + 2x^4 + 4x^2[/tex].
To solve the expression properly we have to take common (2x²). Then we have
[tex]\rm 8x^5 + 2x^4 + 4x^2\\\\2x^{2} (4x^3 + x^2 + 2 )[/tex]
The factor is [tex]\rm 2x^{2} (4x^3 + x^2 + 2 )[/tex].
More about the factorization link is given below.
https://brainly.com/question/6810544
two segments are divided proportionally. If the ratio of the two parts of the first segment is 3:5, what is the length of the longer part of the second segment if the shorter measures 21 cm?
a. 30 cm b. 33cm c. 35 cm d. 37 cm
Answer:
C.35 cm
Step-by-step explanation:
[tex] (\frac{21}{3} ) \times 5 = \\ 7 \times 5 = 35[/tex]
The length of the longer part of the second segment is 35cm.
What is proportion ?"Proportion is explained majorly based on ratio and fractions. A fraction, represented in the form of a/b, while ratio a:b, then a proportion states that two ratios are equal. Here, a and b are any two integers."
"Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion"
Given here,
length of the shortest line segment is 21cm.
and ratio in which the length segment are been divided is 3:5
the length of the longest segment will be 21/3 * 5 = 35
Hence the length of the longest side will be 35cm.
To know more about proportions here
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Look at the table on texts assigned to students. A 4-column table with 3 rows titled texts assigned to students. The first column is blank with entries fiction, non-fiction, total. The second column is labeled poetry with entries 0. 2, a, 0. 18. The third column is labeled prose with entries 0. 8, 0. 9, 0. 82. The fourth column is labeled total with entries 1. 0, 1. 0, 1. 0. Which value for a completes the conditional relative frequency table by row? 0. 01 0. 02 0. 1 0. 2.
Answer:maybe 9 but if not is 8 and the seond is 321
Step-by-step explanation:
What are all of the x-intercepts of the continuous function in the table?
The chart
x | f(x)
____
-4| 0
-2| 2
0 | 8
2 | 2
4 | 0
6 | -2
choices
A.(0,8)
B.(-4,0)
C.(-4,0),(4,0)
D.(-4,0),(0,8),(4,0)
Answer:
C. (-4,0), (4,0)
Step-by-step explanation:
A function has an x-intercept at the point where the function value is zero. The given chart lists two values of x where f(x)=0: x=-4 and x=4. The x-intercepts are ...
(-4, 0), (4, 0)
hich ratio expresses the scale used to create this drawing? The camping site has dimensions of 15 meters by 60 meters.
Answer:
D. 1 square/ 4 meters = 12 square/48 meters
Step-by-step explanation:
You scale down by simplifying the fraction of 12/48. You would divide both 12 and 48 by 12, since it is the highest divisor. And once you divide the two you get 1/4.
Please answer soon (40 Points)
Answer:
2m/3-4n
Step-by-step explanation:
Which of the following would NOT be considered a financial asset?
F.furniture
G.owning a home
H. student loan
J. savings
YALL I NEED HELP, x+y=300 and 12x+15y=4,140.
LIKE WTH IS THIS
please help i’m so bad at graphs
Answer:
If the mother (red line) cycles at 12 mph, it means that in half an hour (x=0.5) she cycled for 6 miles.
The daughter (blue line) walks at 1/3 of her speed, or 4 mph. It means that in half an hour she traveled 2 miles, and 4 miles after an hour.
Assuming that they start at the same point at distance zero, it's just joining the dots.
What is 6,010,499,999 rounded to the nearest billion?
Answer:
6000000000
Step-by-step explanation:
Given the following question:
[tex]6,010,499,999[/tex]
Find the billions place value:
[tex]billions=6[/tex]
Round to the nearest billion:
[tex]6,010,499,999[/tex]
[tex]0<5[/tex]
[tex]6000000000[/tex]
Your answer is "6000000000."
Hope this helps.
Sreya bought shoes for $37.57 and x pairs of socks for $1.95 each. Which expression shows the total money spent?
37.57x + 1.95
37.57x + 1.95x
37.57 + 1.95 + x
37.57 + 1.95x
Answer:
The answer is D
Step-by-step explanation:
the only one that makes sense
The table shows the breakdown of the points scored in last week's basketball game.
a. Write a linear expression in simplest form to represent the total field goal points scored in the first two quarters.
b. Write a linear expression in simplest form to represent the total points scored in the game
Answer:
a. Total field goal points scored in the first two quarters, in simplest linear expression form is: 3x - 4.
b. The total points scored in the game, in simplest linear expression form is: 6x - 1.
a. The goal points scored in the first two quarters are expressed in linear forms as: 2x - 6 and x + 2.
The total field goal points in the first two quarters = 2x - 6 + x + 2
Add like terms
3x - 4
b. The total points scored in the game = 2x - 6 + x + 2 + 2x + x - 6 + 9
Add like terms and simplify the expression
2x - 6 + x + 2 + 2x + x - 6 + 9
6x - 1
Step-by-step explanation:
if a men's shirt cost R299 now and R450 before the sale with what percentage did the price of the shirt decrease
A rectangle measures 3 1/3 inches by 2 1/2 inches what is its area ? Find the area of the last part .
Answer:
1/6
Step-by-step explanation:
since area is l*w=a that means 3 1/3*2 1/5 is teh same as 3.333333*2.5 which is 8.33333333333 or 8 1/3 since you are multiply using the square method we just need to do 1/2 *1/3 this gives us 0.166666666667 or 1/6
hope this helps this is 100% correct
NEWD HELP ASAP ASAP ASAP
Answer:
x = 17
Step-by-step explanation:
2x = 5x - 51
51 = 5x - 2x
51 = 3x
x = 51/3
x = 17
2x = 5x -51
2x + 5x = -51
7x = -51
7x ÷ 7 = -51 ÷7
x = -7.2
sin a/a = sin b/b evaluate sin b given that sin a = 1 , a = 10 and b = 9 . give your answer in its simplest form.
Work Shown:
[tex]\frac{\sin(a)}{a}=\frac{\sin(b)}{b}\\\\\frac{1}{10}=\frac{\sin(b)}{9}\\\\\frac{\sin(b)}{9} = \frac{1}{10}\\\\\sin(b) = 9*\frac{1}{10}\\\\\sin(b) = \frac{9}{10}\\\\[/tex]
For more info, check out the law of sines.
please help with my fractions
Answer:
first you find the common denominator, it is 6.
so the numbers would stay the same. now that our denominators are the same we shall add.
1+2 = 3
3/6.
You can simplify by thinking what multiplication table is 3 and 6 in? its 3 so simplify
3/6 divide both by 3
you get 1/2 so your final answer shall be 1/2
Which 2 numbers multiply to 36 and add up to -15?
Let the numbers be: x and y
Now, we will set up the equation with the variables and given info..
[tex]x \times y = 36 \\ x + y = - 15[/tex]
Solve using the substitution method
[tex]x \times y = 36 \\ x = - 15 - y[/tex]
[tex]( - 15 - y)\times y = 36[/tex]
[tex]y = - 12[/tex]
[tex]x = - 15 - ( - 12)[/tex]
[tex]x = - 3[/tex]
➪ Therefore, The two numbers are: -12 and -3
PLEASE HELP 8th grade
Answer:
Answer is 6.40 units
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
fill in the sides for a and b
4^2 + 5^2 = c^2
simplify
16+25 = c^2
41 = c^2
Sqrt both sides
c = 6.4
Answer:
6.40 units
Step-by-step explanation:
You can use the equation a^2+b^2=c^2 for this. C is the unknown and the hypotenuse.
In this case, 4^2+5^2=c^2.
16+25=c^2
41=c^2
sqrt{41}= c
Approximately 6.40312
If each person gets 1/2 gallons of water,then how many people can share 64 gallons of water?
Answer:
128 people can share
Step-by-step explanation:
hope this helps! have a great rest of ur day :)
Find the value of x, y, and z in the rhombus below.
Answer:
x = 20
y = -7
z = -11
Step-by-step explanation:
Sum of interior angles of a rhombus = 360°
The opposite angles of a rhombus are equal to each other.
The adjacent angles are supplementary (add up to 180°)
Therefore,
66 + (6x - 6) = 180
⇒ 66 + 6x - 6 = 180
⇒ 6x = 180 - 66 + 6
⇒ 6x = 120
⇒ x = 120 ÷ 6
⇒ x = 20
66 + (-10z + 4) = 180
⇒ 66 - 10z + 4 = 180
⇒ -10z= 180 - 66 - 4
⇒ -10z = 110
⇒ z = 110 ÷ -10
⇒ z = -11
(6x - 6) + (-10y - 4) = 180
⇒ 6x - 6 - 10y - 4 = 180
⇒ 120 - 6 - 10y - 4 = 180
⇒ -10y = 180 - 120 + 6 + 4
⇒ -10y = 70
⇒ y = 70 ÷ -10
⇒ y = -7
After the party there was 2/3 of a tray of cookies left. The next day Jesse divided the tray of cookies evenly between him and his 3 friends. What fraction of the tray of cookies did each person get?
Answer : 2/9
◊ YusuCr ◊
Hope This Helps. :)
What is the perimeter of the square if it’s diagonal is 5?
Answer:
P≈14.14
Step-by-step explanation:
Diagonal
5
Using the formulas
P=4a
d=2a
Solving forP
P=22d=2·2·5≈14.14214
Answer:
About 14
Step-by-step explanation:
The diagonal BD is the hypotenuse of the triangol ΔBCD. You can find the lenght of the side BC (BC = BD × cos α = 5 × cos 45° = 3.54) or the lenght of the side CD (CD = BD × sin α = 5 × sin 45° = 3.54). Now you can multiply 3.54 by four to find the perimeter (P = 3.54 × 4 = 14.16).
Answer: 14.16 (I don't know the unit of measurement).
I hope I helped you :D
A store offers a 30% off coupon. The tax rate is 8.25%. If an item is listed as $88, how much does it cost after the coupon and tax have been applied? Show your calculations in textboxes in the provided sketch area.
Answer: $66.682
Step-by-step explanation: I think this is there answer. Correct me if I’m wrong
The lines below are parallel. If the slope of the green line is -2 what is the slope of the red line?
Answer:
-2
Step-by-step explanation:
When 2 lines are parallel that means they have the same slope but diffrent y-intercepts. You can also double check this by counting what the slope is on the graph itself, the red line's equation is y=-2x + 2 while the green line's in y = -2x - 4.
Hope this helps!! :)
(Sorry if this is a bit in-depth, I'm just really passionate about people understanding slope)
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST (last answer is 8)
Answer:
question 8 = 6cm
Step-by-step explanation:
[tex]formula (perimeter)= \\ sum \: of \: all \: sides \\ \\ 3x + 3x + x + x = 48 \\ 3(6) + 3(6) + 6 + 6 = 48 \\ 18 + 18 + 6 + 6 = 48[/tex]
please help im stuck need help
Answer:3
Step-by-step explanation:
250-3= 247,
If each classmate has to get a whole cookie then
247/3= 3.38
You cannot give more than you have (she can’t give 3.38 cookies because those aren’t whole cookies, she cannot also give 4 cookies because she doesn’t have enough to give 4 one person will probably get only 3 or something) so the only option is to give 3 cookies to each classmate.
What is an equation of the line that passes through the points (5,-3) and
(-3, -3)?
Answer:
y=-3
Step-by-step explanation:
First, you want the slope.
The slope is
[tex]\frac{-3-(-3)}{-3 - 5} = \frac{0}{-8}\\[/tex]
0/-8 = 0, so the line is horizontal.
the y-intercept must be -3 because it never changes.
So the equation must be
y=-3
Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{-3+3}{-3-5}=0[/tex]
Equation of line in point slope form
[tex]\\ \rm\hookrightarrow y+3=0(x-5)[/tex]
[tex]\\ \rm\hookrightarrow y+3=0[/tex]
[tex]\\ \rm\hookrightarrow y=-3[/tex]
