The solution to the inequality [tex]\frac{r}{16}\geq 8[/tex] is r≥128.
Step-by-step explanation:
Given inequality is;
[tex]\frac{r}{16}\geq 8[/tex]
We will solve the inequality for r.
Therefore;
Multiplying both sides by 16
[tex]\frac{r}{16}*16\geq 8*16\\x\geq 128[/tex]
Therefore;
The solution to the inequality [tex]\frac{r}{16}\geq 8[/tex] is r≥128.
his season, Lisa's lacrosse team has won $\frac 23$ of their home games (games played at Lisa's school), but just $\frac 25$ of their away games (games played at other schools). In total, Lisa's team has won $26$ games out of $49$ games they have played. How many home games has Lisa's team played?
Answer:
24 Home games
Step-by-step explanation:
let [tex]x[/tex] denote the number of home games played, and [tex]y[/tex] denote the number of home games played. We are given the total number of games played as 49
and total wins as 26.
The problem can be expressed in equation form as:[tex]\frac{2}{3}x+\frac{2}{5}y=26[/tex]...[tex]eqtn1[/tex]
Total games is expressed as [tex]x+y=49[/tex]...[tex]eqtn2[/tex]
Rewrite equation 1 to remove fractions:
[tex]\frac{2}{3}x+\frac{2}{5}y=26\\=>5x+3y=195\\[/tex]
Solve for x to obtain total home games played.
Making [tex]x[/tex] the subject in eqtn 2:
[tex]x=49-y[/tex]
Substitute for [tex]x[/tex] in eqtn1:
=>
[tex]5(49-y)+3y=195\\-5y+3y=195-245\\-2y=-50\\y=25[/tex]
To obtain [tex]x[/tex], replace y value in eqtn2:
[tex]x+y=49\\y=25\\Therefore\\x=49-25\\x=24[/tex]
Home games played is 24
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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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 : )
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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j divided by 9 is 5.
Solve for j.
j=
Answer:
j = 45
Step-by-step explanation:
j/9 = 5
Multiply both sides by 9: j = 45
The required value of j will be 45 when j divided by 9 is 5.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
For example, 62÷31 = 2
To solve for j, we are trying to find the value of j that makes the equation "j / 9 = 5" true.
We can start by setting up the equation:
j / 9 = 5
This equation says that the result of dividing j by 9 is equal to 5.
To solve for j, we can multiply both sides of the equation by 9, the denominator of the fraction on the left-hand side:
j = 9 × 5
= 45
This shows that j = 45 is the solution to the equation. In other words, if we substitute 45 for j in the equation "j / 9 = 5", the equation becomes true:
45 / 9 = 5
Therefore, the value of j that makes the equation "j / 9 = 5" true is 45.
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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
i need help with thissss!!
Answer: D
Step-by-step explanation:
Paul's Current score is 42, x = paul's awaiting score
Paul's score has to be greater than 174
Current score plus awaiting score must be greater than 174
Answer:
d. 42 + p > 174
Step-by-step explanation:
Since Paul needs to score more than 174, the sign needs to be > and not ≥ because he does not want to equalize the score of 174.
Since he currently has a score of 42, he needs to add another score. Assuming the next score he needs is p,
42 + p is the equation.
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.
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
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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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:
Oxnard Petro Ltd. is buying hurricane insurance for its off-coast oil drilling platform. During the next five years, the probability of total loss of only the above-water superstructure ($320 million) is .30, the probability of total loss of the facility ($820 million) is .30, and the probability of no loss is .40. Find the expected loss. (Input the amount as a positive value.) Expected Loss
Answer:
Expected loss = $342 million.
Step-by-step explanation:
The formula to compute the expected loss is:
[tex]E(Loss)=\sum Loss\ amount\times P (Loss)[/tex]
Given:
P (Loss) Amount of loss
0.30 $320 million
0.30 $820 million
0.40 $0
Compute the expected loss as follows:
[tex]E(Loss)=\sum Loss\ amount\times P (Loss)\\=(0.30\times320)+(0.30\times820)+(0.4\times0)|_{in\ millions}\\=96 +246+0\\=\$342\ million[/tex]
Thus, the expected loss is $342 million.
Six people are running for class president. Assuming there are no ties, in how
many different ways can first and second places be awarded?
A ball is thrown in the air from a ledge. Its height in tesspresented by
R -16(x^2
- 5x-6), where x is the number of seconds since the ball has
been thrown. The height of the ball is 0 feet when it hits the ground.
How many seconds does it take the ball to reach the ground?
Answer:
6 .74 seconds
Step-by-step explanation:
The height of the ball is given by the equation:
[tex]R(x) = - 16( {x}^{2} - 5x - 6)[/tex]
When the ball hit the ground, then;
[tex]R(x) = 0 \\ - 16( {x}^{2} - 5x - 6) = 0 \\ {x}^{2} - 5x - 6 = 0 \\ x = -0.74 \: Or \: 6.74[/tex]
We discard x=-0.74 since time is not negative.
Therefore the ball hit the ground after 6.74 seconds.
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
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
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.)
Multiply (x^2 + 2x + 3)(4x^2 - 2x + 1)
Answer:
4x^4 + 6x^3 + 9x^2 − 4x + 3
Step-by-step explanation:
Simplify the expression. 4x^4 + 6x^3 + 9x^2 − 4x + 3
Answer:
4x^4 + 6x^3 + 9x^2 - 4x + 3
Step-by-step explanation:
Distribute (x^2 + 2x + 3)(4x^2 - 2x + 1)
You will get 4x^4 - 2x^3 + x^2 + 8x^3 - 4x^2 + 2x + 12x^2 -6x + 3
Then you need to combine like terms
And you will get the answer:
4x^4 + 6x^3 + 9x^2 - 4x + 3
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.
Select all expressions that are equivalent to (2n+6)(n+3)
The expressions equivalent to (2n+6)(n+3) are Options C and F, E, F.
To determine which expressions are equivalent to (2n+6)(n+3), we can first expand this expression using the distributive property (also known as the FOIL method for binomials). This gives us:
[tex]2n \times n = 2n^2\\2n \times 3 = 6n\\6 \times n = 6n\\6 \times 3 = 18[/tex]Combining like terms (6n + 6n) gives us the expression [tex]2n^2 + 12n + 18[/tex]. Therefore, option C is equivalent to (2n+6)(n+3).
Looking at option F, [tex]2(n+3)^2[/tex] is indeed the same as (2n+6)(n+3) because if we expand[tex](n+3)^2[/tex], we get [tex]n^2 + 6n + 9[/tex], and multiplying the whole expression by 2 yields [tex]2n^2 + 12n + 18[/tex], which matches our previous result.
Option B, [tex]2n^2+6n+18[/tex], is not equivalent because it lacks the combined coefficient for the n terms that should be 12n rather than 6n. Option A is also correct. Option E, 2(n+3)(n+3), is just a different way of writing option F and is therefore equivalent. Option D, 12n+18, doesn't have the [tex]n^2[/tex] term, so it's not equivalent to the original expression.
please help 100points and BRAINLYEST!!!!!!!!
Drag each value to the correct location on the table.
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
Answer:
sqrt of 7 goes between 2 and 3
Square root of 20 goes between four and five
Square root of 90 goes between nine and 10
The 101 goes between 4 &5
The 3 90 goes between 4&5
The 3 20 goes between two and three
And 3 800 goes between 9&10
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
Using Algebra or Arithmetic to Solve
A triangular flag has 2 sides with lengths 2 x and 1 side with length x.
A flag is the shape of an isosceles triangle, with two equal sides and a base. Sara has enough fabric to make a flag with a perimeter of 46.8 cm. She knows the flag needs a base that is half the distance of one of the sides.
What is the base of the largest triangular flag Sara can make?
cm.
Answer:
9.36
Step-by-step explanation:
did the test
Answer:
9.36 just did it! :)
Step-by-step explanation:
YESSSSSSSSSSSSSSS
create a pattern for the rule a x 3+2
it is 3+2 = 5 plus a = 5a
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.
John and Liz are sharing a large pizza. John ate 1/3 of the pizza, and Liz ate 1/4 of the pizza. How much of the pizza is left?
Answer:
5/12
Step-by-step explanation:
Final answer:
After John ate 1/3 of the pizza and Liz ate 1/4, we convert these fractions to have a common denominator of 12, resulting in 4/12 + 3/12 = 7/12 eaten. Subtracting this from the whole gives us 5/12 of the pizza remaining.
Explanation:
John and Liz are sharing a large pizza. To determine how much of the pizza is left after John has eaten 1/3 and Liz has eaten 1/4, we need to add those fractions together and subtract the sum from the whole pizza, which is 1 (representing the entire pizza).
First, we find a common denominator, which in this case is 12, so we convert 1/3 to 4/12 and 1/4 to 3/12. Adding these fractions, we get 4/12 + 3/12 = 7/12.
Now we subtract the portion eaten from the whole pizza: 1 - 7/12 = 5/12 of the pizza is left.
Which expression is equivalent to 2(a+2b)- a-2b
Answer:
a + 2b
Step-by-step explanation:
Perform the indicated multiplication.
This results in 2a + 4b - a - 2b, whiin in turn reduces to
a + 2b
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%.
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
4. A health club manager wants to determine
whether the members would prefer a new
sauna or a new steam room. The club surveys
50 of its 600 members. What is the population
of this study?
Answer: 600 members of the club
Step-by-step explanation:
In a statistical study , a population is a large group of observations by the researcher's point of view regarding the objective of the study.A sample is a subset of the population that represents the entire population.
Here , we are given that ,
The club surveys 50 of its 600 members.
Clearly , Population = 600 members of the club
Sample = 50 members
Hence, the population of this study is "600 members of the club " .