PLEASE HELP ASAP, I HAVE 10 MINUTES ;
Arianna and her children went into a grocery store where they sell peaches for $1 each and mangos for $0.50 each. Arianna has $9 to spend and must buy at least 13 peaches and mangos altogether. If x represents the number of peaches purchased and y represents the number of mangos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer:
Step-by-step explanation:
when 13 bought we find these inequalities
x + 12y < 7 no
2x + 11y < 7.5 no
3x + 10y < 8 no
4x + 9y < 8.5 no
5x + 8y > 9 yes
When 14 bought we find these inequalities
x + 13y < 7.5 no
2x + 12y < 8 no
3x + 11y < 8.5 no
4x + 10y > 9 yes
We want to find and solve a system of inequalities to determine some possible solutions to Arianna's situation.
The possible solution is:
x = 2
y = 12
And the graph can be seen at the end.
Now let's see how to solve this.
First, we need to write the system of inequalities, the information given is:
Price of each peach = $1.Price of each mango = $0.50Arianna has $9.Arianna must buy at least 13 fruits.Now we can define the variables:
x = number of peaches that she buysy = number of mangos that she buysThen we must have:
x + y ≥ 13 (this means that she buys at least 13 fruits)
x*$1 + y*$0.50 ≤ $9 (this means that she can't spend more than $9)
Now we just need to graph these two lines, we can rewrite them as:
y ≥ 13 - x
y ≤ $9.00/$0.50 - x*$1/$0.50 = 18 - x*2
Then we just need to graph the two lines, and shade the region above the first one, and the region below the second one, the graph can be seen below:
Any point inside the double shaded region in the first quadrant is a possible solution. (we restrict only to the first quadrant because we can not use negative values for x nor for y).
Then a possible solution that we could choose is:
x = 2
y = 12
This means that she buys 2 peaches and 12 mangos.
If you want to learn more, you can read:
https://brainly.com/question/19526736
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Answers
Answer:
40.72units^2
Step-by-step explanation:
Given data
Radius= 3.6 units
The area is given as
A=πr^2
substitute
A=3.142*3.6^2
A=3.142*12.96
A=40.72units^2
Hence the area is 40.72units^2
Select the correct answer from each drop-down menu.
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The -blank-
is -blank-
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Answers
Answer:
hey im not completely sure but i think its the RADIUS is 1/3 times the AREA time the circumference
Step-by-step explanation:
solve the equation
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Answers
Answer to second one is X = 35
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Answers
Answer:
probably D
Step-by-step explanation:
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Answers
Answer:
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Angle 2 is ?
Angle 3 is 135
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B. 80
C. 90
D. 180
Answers
Answer:
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Step-by-step explanation:
di ko po alam kung tama ba
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Answers
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Evaluate the expression 2y + 3.5. Evaluate the expression for y=1.8, y=4, y=6.9. (there should be three answers)
Answers
Answer:
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3. 24.2
Step-by-step explanation:
you use P.E.M.D.A.S. for all the equations.
so you do thr multiplication and then the addition
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2. 2(4)+3.5= 8+3.5=11.5
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A store sells graph paper in packages of 100 sheets. During a sale, they offer a package that has 25% more sheets for no additional cost. How many sheets are in the sale package?
Answers
Answer: 125
Step-by-step explanation:
25% of 100 = 25
25 + 100
125
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Answers
Answer:
15m/s
Step-by-step explanation:
Given data
DIstance= 55.5 miles
time= 3.7 hours
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the speed
We know that
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Substitute
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399
509
908
Answers
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Answer:
In a certain sport, teams receive 3 points for each win, 1 point for each draw, and no points for losses. In a five-team tournament in this sport, in which each of teams G, H, J, K, and L played each other team exactly once, did team L finish the tournament with the highest point total?
Step-by-step explanation:
-2x-4=16
Show each step of your work.
Answers
Answer:
x= -10
Step-by-step explanation:
PEMDAS
First you multiply- -2x?
You don't know what x is so you subtract 4 for 16
16-4=12
2-12= -10
The measure of an angle is 39.3°. What is the measure of its complementary angle
Answers
i’m not sure but i think it’s 51 degrees
Question 5
Calculate the perimeter of the sector
4cm
285
Answers
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Perimeter of sector = arc length + 2 radii = (19/3)π + 8 ≈ 27.9 cm
The arc length of the sector will be 19.89 centimeters.
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The radius of the sector is 4 cm. And the central angle is 285°.
Then the perimeter of the sector is given as,
Arc = (285° / 360°) x 2 x 3.14 x 4
Arc = 19.89 cm
The arc length of the sector will be 19.89 centimeters.
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How many grams are in 1 pound (on Earth)? Round to the nearest tenth.
Answers
Answer:
453.6, or 453.59237
Step-by-step explanation:
Answer:
28.35 grams is equivilent to 1/16 lb., which is 1 oz. So, 28.35 x 16= 453.6
Step-by-step explanation:
First you must convert ounces to grams
Then, you must convert the ounces to pounds
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Knowing that 28.35 grams are in 1 oz
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Answers
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Answers
Step-by-step explanation:
4(n^3 - 6)
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Answers
Answer:
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-ilovejiminssi♡
In ΔRST, r = 52 cm, s = 55 cm and ∠T=48°. Find the length of t, to the nearest centimeter.
Answers
Answer:
44
Step-by-step explanation:
delta math
The length of t is approximately 43.60 cm, to the nearest centimeter.
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2. The sum of the length of the two sides of a triangle is greater than the length of the third side.
3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
To find the length of side t in triangle RST, we can use the law of cosines, which relates the lengths of the sides and the cosine of one of the angles in a triangle:
[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]
where c is the length of the side opposite the angle C, and a and b are the lengths of the other two sides.
In this case, we know that:
r = RS = 52 cm
s = ST = 55 cm
∠T = 48°
So, we want to find the length of t, which is the side opposite the angle T.
Let's call the length of t "c". Then, applying the law of cosines, we have:
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Taking the square root of both sides, we get:
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<550.45
O $60.45 ca
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
Ten minutes.
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Solve the following inequality for w 8w+8>-10w-5
Answers
Answer:
Step-by-step explanation:
8w+8 > -10w-5
18w + 8 > -5
18w > -13
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What integer does the arrow indicate?
+
-8
+ +
-6 -5
+
3
+
4
+
7
- 10 -9
-7
-4
-3
-2
-1
0
1
2
5
6
8
9
10
0-14
0-3
06
Answers
Answer:
-9
Step-by-step explanation:
Given
See attachment for number line
Required
What does the arrow integer
Represent the value of the arrow with x.
The arrow is on number -9.
This number is what the arrow represents.
Hence:
[tex]x = -9[/tex]
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Answers
Prove that the value of the expression 7^8–7^7 +7^6 is divisible by 43.
Answers
Step-by-step explanation:
1. if to evaluate the given experssion, then
7⁶(7²-7+1)=7⁶*43.
2. if to divide this evaluated expression by 43, then
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Find the value of x.
(will give brainliest to correct answer)
30°
15x
A. 4
B. 2
C. 12
D. 10
Answers
Answer:
It might be D but im srry if wrong
Step-by-step explanation:
An urn contains b black balls and r red balls. One of the balls is drawn at random, but when it is put back in the urn c additional balls of the same color are put in with it. Now suppose that we draw another ball.
Required:
Show that the probability that the first ball drawn was black given that the second ball drawn was red is b/(b r c).
Answers
Answer:
Please see the explanation below for proof
Step-by-step explanation:
Probability of choosing black ball from the bag
[tex]\frac{b}{b+r}[/tex]
Probability of choosing red ball from the bag
[tex]\frac{r}{b+r}[/tex]
After the addition of c balls of correspondent color –
P (R2/B1) [tex]= \frac{r}{(r+b+c)}[/tex]
P (R2/B2) [tex]=\frac{r+c}{(r+b+c)}[/tex]
B1 and B2 are mutually exclusive event
P (B1/R2) = [tex]\frac{\frac{r}{(r+b+c)} *\frac{b}{b+r}}{\frac{r}{(r+b+c)}*\frac{b}{b+r} + \frac{r+c}{(r+b+c)}* \frac{b}{b+r}}[/tex]
P (B1/R2) [tex]=\frac{b}{(r+b+c)}[/tex]
Hence, Proved
Which of the following expressions is equivalent to (3x - 2)(4x + 5) ?
A. 4x2 + 7x − 10
B. 4x2 + 10x − 7
C. 12x2 + 7x − 10
D. 12x2 + 23x − 10
Answers
C. 12x2+7x-10