Kyle has $4 more than twice as much money as Lana. Lana has x dollars. Kyle does not
have enough money to buy a video game that costs $56, but he has enough money to buy a
textbook that costs $38.
Part A: Write a compound inequality that represents all the possible amounts of money Kyle
could have in terms ofx.
A. 2x + 4 S 56
B. 2x + 4 > 38
C. 38 < 2x + 4 5 56
D. 38 5 2x + 4 < 56
2.19.
Part B: What is the least amount of money Lana could have?
A. 17
B. 18
C. 21
part a - b
part b- a
so ya thats all
The compound inequality that represents all the possible amounts of money Kyle could have in terms of x are :
4 + 2x < 56
4 + 2x ≥ 38
The least amount of money Lana could have is 17 dollars
How to write a compound inequality ?Lana has x dollars.
Therefore,
Lana money = x dollars
Kyle has $4 more than twice as much money as Lana.
Kyles money = 4 + 2x
Kyle does not have enough money to buy a video game that costs $56, but he has enough money to buy a textbook that costs $38.
Therefore,
4 + 2x < 56
4 + 2x ≥ 38
Hence, the least amount of money Lana could have is as follow:
4 + 2(17) ≥ 38
4 + 34 ≥ 38
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how do you solve -10+2y=7
Answer
y = [tex]\frac{17}{2}[/tex]
Step-by-step explanation:
-10 + 2y = 7
Add 10 to both sides of the equation
2y = 7 + 10
Add 7 and 10
2y = 17
divide each term in 2y=17 by 2
[tex]\frac{2y }{2} = \frac{17}{2}[/tex]
Divide y by 7
y = [tex]\frac{17}{2}[/tex]
Hope this helps
Wendy is deciding which summer job she should take.The two different pay options she may choose from are either $62 per day or $304 per week.Which is the best deal for Wendy?
Answer:
$62 per day
Step-by-step explanation:
$62 a day equals $434 a week witch turns out to be $22,568 a year
$304 a week equals $15,808 a year
A conical glass flower vase has a base that is 6 inches in diameter and a vase that holds approximately 113 in.³ of water what is the height of the vase?
To find the height of the vase, use the formula for the volume of a cone (V = (1/3)πr^2h) and solve for h. Given the base diameter and the volume of the vase, substitute the values into the formula to find the height. The height of the vase is approximately 4 inches.
Explanation:To find the height of the vase, we can use the formula for the volume of a cone which is V = (1/3)πr^2h, where V is the volume, r is the radius of the base, and h is the height. Given that the base of the vase has a diameter of 6 inches, the radius is half the diameter, which is 3 inches. We also know that the volume of the vase is approximately 113 in.³. We can substitute these values into the formula to find the height:
V = (1/3)π(3^2)h
113 = (1/3)π(9)h
113 = (3/3)π(9)h
113 = (π)(9)h
h = 113 / (π)(9)
h ≈ 4 inches
Therefore, the height of the vase is approximately 4 inches.
How many soution does this system have ?
Y=3/4x-5
-3x+4y=-20
Answer:
There is no solution
Step-by-step explanation:
1. y = 3/4x - 5
2. -3x + 4y = -20
-3x + 4(3/4x - 5) = -20
-3x + 3x - 20 = - 20
-20 = -20
True or False: If you shift one of the lines incorrectly and the other correctly, you will receive credit for the correctly shifted line. True
Final answer:
In logic and truth tables, shifting one line correctly while the other is shifted incorrectly will result in credit for the correctly shifted line.
Explanation:
True or False: If you shift one of the lines incorrectly and the other correctly, you will receive credit for the correctly shifted line. True
The statement is true in the context of logic and truth tables. When dealing with truth tables and logical operations, if one line is shifted correctly and the other incorrectly, credit is given for the line that was correctly shifted.
A triangle with an area of 3 mm squared is dilated by a factor of 6. What is the area of the dilated triangle?
By definition, the area of a triangle is given by:
A = (1/2) * (b) * (h)
Where,
b: base
h: height
The area of the original triangle is 3 mm² and is dilated by a factor of 6. We have then
A = (1/2) * (6b) * (6h)
A = (1/2) * (b) * (h) * (6) * (6)
A = 3 * (6) * (6)
A = 108 mm²
answer
The area of the dilated triangle is 108 mm²
When a triangle with an original area of 3 mm squared is dilated by a factor of 6, the new area is found by multiplying the original area by the square of the dilation factor. This results in a new area of 108 mm squared.
The question asks about the effect of dilation on the area of a triangle. Specifically, it asks for the new area if a triangle with an original area of 3 mm² is dilated by a factor of 6. When dealing with dilation, the area of a shape changes by the square of the dilation factor. This means that if the dilation factor is 6, the new area will be 62 times the original area. This calculation can be performed as follows:
Original area = 3 mm²
Dilation factor = 6
New area = Original area × (Dilation factor)2 = 3 mm² × 62
New area = 3 mm² × 36 = 108 mm2
Therefore, the area of the dilated triangle is 108 mm²
Order the numbers from greatest to least.
332 233 323
Answer:
Step-by-step explanation:
332 323 233
Answer:
233, 323, 332.
Step-by-step explanation:
Starting from 200 and count by 10 (200, 210, 220, 230.) 233 is the smallest number, repeat with each number.
Mischa wrote, “Anderson has ten trading cards. He gives some to Desai.” This describes a possible context for the expression x minus 10. Which explains the accuracy of what Mischa wrote?
Answer:
It is inaccurate. Her words translate to 10 minus x
Step-by-step explanation
she minuses x and gives it to desai
It is not correct. Her words translate to 10 minus x
Given that,
Mischa wrote, “Anderson has ten trading cards. He gives some to Desai.”Information regarding context:Since anderson does have 10 trading cards, So here the context should be that it minuses x and then it provides to the desai.The given context mentioned in the question is wrong.Learn more about the expression here: https://brainly.com/question/13947055?referrer=searchResults
Given the point A(-3,-2) and B(6, 1), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1.
Answer:
P: (3,0)
Step-by-step explanation:
AB = (9,3)
⅔(9,3) = (6,2)
(-3,-2) + (6,2) = (3,0)
the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1 is (3,0).
What is the ratio formula for line segment?P=(mx2+nx1/m+n,my2+ny1/m+n).
The formula can be derived by constructing two similar right triangles, as shown below. Their hypotenuses are along the line segment and are in the ratio m : n m:n m:n.
Here, given that,
Given the point A(-3,-2) and B(6, 1),
Let, (x.y) is the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1.
Using the formula we get,
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
P=(3,0)
hence, the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1 is (3,0).
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10+20= answer and explanation please
Answer:is 30
Step-by-step explanation:
So u can say 5+5=10, well if the answer is 10 then 10+10= 20 and then if u add 10 to 20 you will get 30
The Tran family uses up a 1/2 gallon jug milk every 3 days. At what rate do the drink milk
Answer: 1/6 of a gallon per day
Step-by-step explanation: divide 1/2 by 3 and you get 1/6 .
The Tran family drinks milk at a rate of 1/6 gallon per day.
To find the rate at which the Tran family drinks milk, we can calculate the amount of milk consumed per day. First, determine how much milk they consume in 3 days: 1/2 gallon every 3 days. To find the daily consumption, divide the amount consumed in 3 days by 3:
\[\frac{1/2}{3} = \frac{1}{6} \text{ gallons per day}.\]
This means the Tran family drinks 1/6 of a gallon of milk every day. To express this rate in a more common unit, there are 128 ounces in a gallon. Therefore, the Tran family drinks:
\[\frac{1}{6} \times 128 = 21.\overline{3} \text{ ounces of milk per day}.\]
So, the Tran family drinks milk at a rate of approximately \(21.\overline{3}\) ounces per day.
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you pick a card at random what is p(3 or even)
The probability of drawing a 3 or an even card from a 52-card deck is calculated by adding the probability of drawing a 3 (1/13) and the probability of drawing an even card (5/13), resulting in a total probability of 6/13.
Explanation:In a standard 52-card deck, there are four 3's and twenty even cards (2, 4, 6, 8, 10 in each of four suits: hearts, diamonds, clubs, and spades). Therefore, the probability, p, of drawing a 3 or an even card is calculated by adding the probabilities of these two independent events.
First, calculate the probability of drawing a 3: P(3) = 4/52 = 1/13, as there are 4 cards with a 3 and 52 total cards.
Next, calculate the probability of drawing an even card: P(even) = 20/52 = 5/13, because there are twenty even cards in the deck.
Finally, add these probabilities: p(3 or even) = p(3) + p(even) = 1/13 + 5/13 = 6/13.
Note: We can add these probabilities directly because these are mutually exclusive events -- a card cannot simultaneously be a 3 and an even number.
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Felix scored an 80% on his last test. He missed five problems. How many problems were on the test?
Answer:
25 Questions
Step-by-step explanation:
100% - 80% = 20%
20/5 = 4
Each question is worth 4 points.
100/4 = 25
if you multiply 4 points by 25 questions you get 100 points or 100%.
Hope it helps : )
Write an exponential function in the form of y=ab^x that goes through points (0,6) and (2,96)
Final answer:
The exponential function that goes through the points (0,6) and (2,96) is y = 6 * 4^x, where 6 is the initial value (a) and 4 is the base growth rate (b).
Explanation:
The student is asking for an exponential function in the form y = ab^x that passes through the points (0,6) and (2,96).
To find this function, we must determine the values of 'a' and 'b'. Since the function passes through the point (0,6), if we substitute x = 0, we get y = a * b^0. Since any number raised to the power of 0 is 1, it simplifies to y = a. Therefore, a = 6.
Next, we substitute the second point (2,96) into the original equation with our known value for 'a': 96 = 6 * b^2. To solve for 'b', we divide both sides of the equation by 6, resulting in 16 = b^2. Finding the positive square root of 16 gives us b = 4.
Therefore, the exponential function is y = 6 * 4^x.
The exponential function that goes through the points [tex]\((0, 6)\)[/tex] and [tex]\((2, 96)\)[/tex] is [tex]y = 6 \times 4^x[/tex]
To find the exponential function in the form [tex]\( y = ab^x \)[/tex] that goes through the points [tex]\((0, 6)\)[/tex] and [tex]\((2, 96)\)[/tex], we need to determine the values of [tex]\(a\)[/tex] and [tex]\(b\)[/tex].
1. Use the point [tex]\((0, 6)\)[/tex]
When [tex]\( x = 0 \), \( y = 6 \).[/tex]
[tex]\[6 = ab^0\][/tex]
Since [tex]\( b^0 = 1 \)[/tex]
[tex]\[6 = a \times 1\][/tex]
Therefore, [tex]\( a = 6 \).[/tex]
2. Use the point [tex]\((2, 96)\)[/tex]
When [tex]\( x = 2 \), \( y = 96 \)[/tex]
[tex]\[96 = 6b^2\][/tex]
Solving for [tex]\( b^2 \)[/tex]
[tex]\[b^2 = \frac{96}{6} = 16\][/tex]
Taking the square root of both sides:
[tex]\[b = 4\][/tex]
Thus, the exponential function is:
[tex]\[y = 6 \times 4^x\][/tex]
To verify, we can check both points:
For [tex]\((0, 6)\)[/tex]
[tex]\[y = 6 \times 4^0 = 6 \times 1 = 6\][/tex]
For [tex]\((2, 96)\)[/tex]
[tex]\[y = 6 \times 4^2 = 6 \times 16 = 96\][/tex]
Help with #15, please show all work, will mark brainliest!
Measure of ∠B is 110°
Step-by-step explanation:
Step 1: Find ∠B of the parallelogram.In a parallelogram, opposite angles are equal.
⇒ ∠B = ∠D
⇒ ∠B = (5x + 10)°
Step 2: Use theorems of quadrilaterals to form equations to find x and y.Now, angles in a parallelogram are equal to 360°.
⇒ ∠A + ∠B + ∠C + ∠D = 360°
⇒ (3x + y)° + (5x + 10)° + (5y + 20)° + (5x + 10)° = 360°
⇒ 13x + 6y + 40° = 360°
⇒ 13x + 6y = 320° ------ (1)
Also, adjacent angles in a parallelogram are supplementary.
⇒ ∠A + ∠D = 180°
⇒ (3x + y)° + (5x + 10)° = 180°
⇒ 8x + y = 170° ----------- (2)
Step 3: Solve the 2 equations to find x and y.13x + 6y = 320
48x + 6y = 1020 (After multiplying eq. 2 with 6 to make coefficients equal)
Subtract (2) from (1)
⇒ -35x = -700
∴ x = 20
⇒ (5x + 10)° = 100 + 10 = 110°
Answer:
110°
Step-by-step explanation:
Angle A = Angle C
3x + y = 5y + 20
3x = 4y + 20
Angle C + Angle D = 180
5y + 20 + 5x + 10 = 180
5x + 5y = 150
x + y = 30
x = 30 - y
3(30 - y) = 4y + 20
90 - 3y = 4y + 20
7y = 70
y = 10
x = 30 - 10
x = 20
Angle B = Angle D
= 5(20) + 10
= 110°
What is the value of x?
30
45
(3x)
55
-20
Answer:45 Degrees
Step-by-step explanation:
3x+x= 180
4x=180
x=45 Degrees.
Line with a slope of -4 and y intercept of -3
Answer:
y = -4x - 3
Step-by-step explanation:
Step 1: Plug into slope-intercept form
y = mx + b
y = (-4)x + (-3)
y = -4x - 3
Answer: y = -4x - 3
Please Help, it’s needed.
Answer:
A: She earns 10 dollers per houer
B: x*2=y
Step-by-step explanation:
Answer:
Step-by-step explanation:
Manuela makes 10 dollar for each hour she/he works.
Every number the line goes through the multiple of 10. (Ex. 2, 4, 6, 8, are all met up with 20, 40, 60, 80 on the Y axis.)
The blue line and the yellow line trains just arrived at the station.
When will they next arrive at the station at the same time?
Blue arrives very 10 minutes and yellow arrives every 12 minutes
Answer:
After 60 minutes. Least common multiple I think is the reason
Step-by-step explanation:
In Practing Partial Products Multiplictaion What im Going to do to 65 × 32 ?
Answer:
2080
Step-by-step explanation:
Step 1: Multiply
65 × 32
60*30 + 60*2 + 5*30 + 5*2
1800 + 120 + 150 + 10
2080
Answer: 2080
Answer:
2080
Step-by-step explanation:
6 less than the product of 8 and a
number n is 34
Answer:
8n-6 = 34
Step-by-step explanation:
6 less than the product of 8 and a number n is 34
less than means subtract from the next thing
-6
product means multiply
8n
Now we have 8n-6
is means equals
8n-6 = 34
the value of n is 5.
Step-by-step explanation:
Given,
6 less than the product of 8 and a number n is 34
To find the value of n
According to the problem,
n×8 - 6 = 34
or, 8n = 34+6
or, 8n = 40
or, n = 40÷8
or, n= 5
Hence, the value of n is 5.
Last year, 2376 people attended a summer music festival. This year the attendance was 2950. What was the percent of change in attendance to the nearest whole percent?
The percent change in attendance from last year to this year is approximately 24% after rounding to the nearest whole percent.
Explanation:To calculate the percent change in attendance, you can use the formula for percent change which is (new value - original value)/original value × 100%.
Last year, the attendance was 2376 people, and this year, it increased to 2950 people. Let's plug these numbers into the formula to find the percent change:
(2950 - 2376)/2376 × 100% = 574/2376 × 100% ≈ 24.16%.
When we round to the nearest whole percent, the percent change in attendance is approximately 24%.
The coefficient of 9(14)P is
09
14
126
Answer:
126
Step-by-step explanation:
The coefficient of 9(14)P = 9*14 = 126
The cafeteria director at Great Minds School wants to know what percent of the students would choose vegetarian entrees if they were available. Which of the following survey methods will allow the director to make a valid conclusion about the percentage of students who would choose vegetarian entrees?
Answer:
Sort a list of the students into a random order, then ask the first 353535 students on the list.
Step-by-step explanation:
Answer:
Sort a list of the students into a random order, then ask the first 353535 students on the list.
Is -2 1/6 greater or less than -2 5/6
Answer: -2 1/6 is greater than -2 5/6
Step-by-step explanation:
To know the greater value, convert the mixed fraction to a decimal, this gives:
-2 1/6 = -2.1667
-2 5/6 = -2.833
Please note that a less negative number is always greater than a more negative number.
-2.1667 is greater than -2.833
Therefore, -2 1/6 is greater than -2 5/6
I hope this helps, thank you.
What is the solution to the problem 2y+3=4y+2
Answer:
y = 1/2
Step-by-step explanation:
Step 1: Solve for y
2y + 3 = 4y + 2
2y + 3 - 2 - 2y = 4y + 2 - 2 - 2y
1 / 2 = 2y / 2
1/2 = y
Answer: y = 1/2
Step-by-step explanation:
2y + 3 = 4y + 2
-2y + 3 = 2
-2y = -1
2y = 1
y = 1/2
y = 0.5
The perimeter of a triangle below is 58 units. Find the value y
Answer:
1
Step-by-step explanation:
88+(-39)
show how you got the answer please
Answer:
49
Step-by-step explanation:
88+(-39) is the same as 88-39 given the distributive property, so 88-39=49
Can someone please help me ?
Answer:
The first picture will have a solution a (3,4)
The second will have no solutions
The third picture will have a solution at (-4,-3)
Step-by-step explanation:
The solution is when the lines intersect you can tell in the first and third picture when they will and the second picture has parrell lines meaning they will never intersect