Answer:
The age of Hannah, Jeremy and Delmon are 20 years , 25 years and 25 years respectively
Step-by-step explanation:
Let H , J and D be the age of Hannah, Jeremy and Delmon respectively.
We are given that Hannah noticed that the sum of their ages was 70.
H+J+D=70---1
Now we are given that Delmon, the youngest, burst out, "The difference between me and the oldest is more than 10 years!"
J-D>10
Now we are given that Hannah then realized that the difference between her age and each of the guys was more than 5 years.
So, D-H>5
J-H>5
D-H=5---2
J-H=5
So, D=J
Substitute in 1
2D+H=70 --3
Substitute the value of H from --3 in 2
D-70+2D=5
D=25
So, J = 25
Substitute values in 1
H+25+25=70
H=20
Hence the age of Hannah, Jeremy and Delmon are 20 years , 25 years and 25 years respectively
The Esteban family will order one T-shirt for each person who attends their family reunion. The cost is $6.50 per T-shirt plus a one-time printing fee of $35.00. This can be represented by the equation c= 6.5n+35, where c represents the total cost of the shirts and n represents the number of shirts ordered. If the family can spend no more than $2,000.00 on T-shirts, what is the maximum number they can order?
Answer: 302
Step-by-step explanation:
A jacket costs $34.85 plus sales tax. After sales tax, the jacket costs $37.29.
What is the approximate sales tax rate?
Answer:
the approximately sales tax rate is 7%
Which of Talia's steps is incorrect? Step 1 is incorrect because it uses a point that is not on the line. Step 2 is incorrect because it uses a point that is not on the line. Step 3 is incorrect because it shows an incorrect ratio for the slope. Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step-by-step explanation:
The correct question is:
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .
Step 4: Substitute those values into the point-slope form.
y – y1 = m(x – x1)
y – 3 = (x – 1)
Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.
Step 2 is also correct.
Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.
Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2
Therefore the correct point-slope form is:
y – y1 = m(x – x1)
y – 3 = 2(x – 1)
Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
c
Step-by-step explanation:
took the quiz!!
The number of hours, H, that milk stays fresh is a function of the surrounding temperature, T. In degrees centigrade, this relationship is shown by the formula H(T) = 180 ∙ 10(−.04T) . How many hours will newly pasteurized milk stay fresh when stored at 8°C?
Answer:
The number of hours that the milk will stay fresh is 86.2 hours
Step-by-step explanation:
Given the following function;
[tex]H(T) = 180*10^{(-0.04T)}[/tex]
where;
T, is the temperature in degrees centigrade
H is the number of hours
At 8°C the number of hours that the milk will stay fresh is given by;
[tex]H(T) = 180*10^{(-0.04T)}\\\\H(8) = 180*10^{(-0.04*8)}\\\\H(8) = 180*10^{(-0.32)}\\\\H(8) = 180*0.4786\\\\H(8) = 86.2 \ hours[/tex]
Therefore, the number of hours that the milk will stay fresh is 86.2 hours.
A recipe for servings of pudding calls for 2/3 cups of cream. How much cream is needed for 18 servings of
pudding?
Plz help
HELP GEOMETRY TRIANGLES
Answer:
x=21
Step-by-step explanation
PLEASE ANSWER WILL GIVE BRAINLIEST!!!
What does a correlation coefficient of 0.76between two assets indicate?
Only one of the assets is profitable.
As one asset increases, the other decreases.
The two assets are weakly correlated.
The two assets are highly correlated.
How are lines KL and MN related?
O The lines intersect at point K.
O The lines are parallel.
O The lines are perpendicular.
O The lines do not have slopes,
The lines KL and MN perpendicular to each other.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
If a line passes through two points, then the slope of the line is
m = y2-y1/x2-x1
From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).
The slope of line KL is
m = 0
The slope of line KL is 0, it means it is a horizontal line.
From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).
The slope of line MN is
m = 1/0
The slope of line MN is 1/0 or undefined, it means it is a vertical line.
We know that vertical and horizontal lines are perpendicular to each other.
Therefore the lines KL and MN perpendicular to each other.
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What is faster? 15 meters per minute or 15 kilometers per hour?
Answer:
15 kilometers
Step-by-step explanation:
15 kilometers is in conversion with miles
I need help with this pls help
Answer:
Step-by-step explanation:
A mobile dealer sells a mobile at a discount of 25% on its marked price and earns a profit of 10%. If the marked price of the mobile is 8800, what will be the cost price of the mobile? 6075
Discount = 25% .
Profit = 10%.
Marked price of mobile = Rs.8800.
Find :Cost Price of the mobile
Solution :As we know that, their is no direct relation between Mark price and cost price . so we have to work on selling price of the mobile.
So,
→ MP of mobile = Rs.8800
→ Discount = 25% .
than,
→ SP of mobile = MP * (100 - discount%) / 100
→ SP of mobile = 8800 * (100 - 25) / 100
→ SP of mobile = 88 * 75
→ SP of mobile = Rs.6600 .
Now,
→ SP of mobile = Rs.6600
→ Profit % = 10% .
than,
→ CP of mobile = SP * 100 / (100 + Profit%)
→ CP of mobile = 6600 * 100 / (100 + 10)
→ CP of mobile = (6600 * 100) / 110
→ CP of mobile = 60 * 100
→ CP of mobile = Rs.6000 . (Ans.)
Hence , Cost Price of the mobile is Rs.6000.
I hope it will help you.
Regards.
A percentage is a way to describe a part of a whole. The cost price of the mobile phone is 6,000.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
Let the cost price of the mobile be represented by x.
Given that dealer earn profit of 10% on its cost price, therefore, we can write the selling price of the mobile as,
Selling price = Cost price + Profit
= x + 10% of x
= 1.10x
Also, given that the mobile dealer sells a mobile at a discount of 25% on its marked price. Therefore, we can write the selling price as,
Selling price = Marked price - Discount
= Marked price - 25% of marked price
= 8,800 - 25% of 8,800
= 8,800 - 0.25(8,800)
= 8,800 - 2,200
= 6,600
Now, Comparing the sales price we got from above two equation, therefore, the cost price of the mobile can be written as,
1.10x = 6,600
x = 6,600/1.10
x = 6,000
Hence, the cost price of the mobile phone is 6,000.
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You and your friend share a paper route. You can deliver 4 papers in one minute and your friend can deliver 3 papers in one minute. Seventy-five papers have to be delivered each day on the route. Let n be the number of papers you deliver. A) use the verbal model to write an equation that you can use to find out how long it will take the two of you working together to deliver the papers.
Answer:
[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]
Step-by-step explanation:
Given that:
4 papers are delivered by first person in one minute.
Rate of delivering one paper
or
Time taken to deliver one paper can be calculated by the formula:
[tex]\dfrac{\text{Total Time taken}}{\text{Number of papers delivered}}[/tex]
Time taken to deliver one paper by first person = [tex]\frac{1}{4}[/tex]
3 papers are delivered by second person in one minute.
Time taken to deliver one paper by second person = [tex]\frac{1}{3}[/tex]
Total number of papers = 75
Number of papers delivered by first person = [tex]n[/tex]
So, number of papers delivered by second person = ([tex]75-n[/tex])
Time taken to deliver [tex]n[/tex] newspapers = Number of newspapers delivered multiplied by Time taken to deliver one newspaper
Time taken by first person = [tex]n\times \frac{1}{4}[/tex]
Time taken by second person = [tex](75-n)\times \frac{1}{3}[/tex]
So, Total time taken can be written as:
[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]
joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours then which of the following quantities is an appropriate representation of the number of minutes joe and his friends spent watching movies
the number of minutes joe and his friends spent watching movies are 4920 minutes.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours.
Assume that the number of minutes joe and his friends spent watching movies is given by [x]. Then, we can write -
[x] = 41 x 2 x 60
[x] = 41 x 120
[x] = 4920 minutes.
Therefore, the number of minutes joe and his friends spent watching movies are 4920 minutes.
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x/-8 = -3
help!!! needed urgently
If x/ -8 = -3,
Just multiply by -8 on both sides.
x = 24
Hope this helps!
If x/ -8 = -3,
Just multiply by -8 on both sides.
x = 24
Hope this helps!
Caleb starting playing video games as soon as he got home from school. He played video games for 50 minutes. Then Caleb helped clean the kitchen for 1 hour. After the kitchen was clean, it took Caleb 1 hour and 55 minutes to finish his homework. When Caleb finished his homework, it was 7:40 P.M. What time did Caleb get home from school?
Answer:
Caleb had gotten home at 3:55 pm
Answer:
Caleb got home around 3:55
Step-by-step explanation:
Can you please answer this my homework is due ✨
Find the value of x.
in this problem x equals 10
Step-by-step explanation:
jd
Answer:
13
Step-by-step explanation:
7s+5c=181.40
9s+1c=132.80
Answer:
s=12.7
c=18.5
hope this helps :)
Which linear function has the steepest slope?
A. y = negative 8 x + 5
B. y minus 9 = negative 2 (x + 1)
C. y = 7 x minus 3
D. y + 2 = 6 (x + 10)
Answer:
Step-by-step explanation:
Option A
Answer:
Option A
Step-by-step explanation:
would you rather drive a car at the rate of 40 kilometers per hour or drive a car at a rate of 15 meters per second, and why? which one is correct
Answer: 15 meters per second
Step-by-step explanation: Kilometers are 1,000 times larger than meters
Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5\,\text{cm}18.5cm18, point, 5, start text, c, m, end text long by 15\,\text{cm}15cm15, start text, c, m, end text wide. Martene put 3885\text{ cm}^33885 cm 3 3885, start text, space, c, m, end text, cubed of water in the aquarium. How deep is the water in the aquarium? \text{ cm} cm
Answer:
[tex]Depth = 14[/tex]
Step-by-step explanation:
Given
[tex]Length = 18.5cm[/tex]
[tex]Width = 15cm[/tex]
[tex]Volume = 3885cm^3[/tex]
Required
Determine the deep of the aquarium
Volume is calculated as thus:
[tex]Volume = Length * Width * Depth[/tex]
Substitute values for Volume, Length and Width
[tex]3885 = 18.5 * 15 * Depth[/tex]
[tex]3885 = 277.5 * Depth[/tex]
Solve for Depth
[tex]Depth = 3885/277.5[/tex]
[tex]Depth = 14[/tex]
Hence;
the depth is 14cm
Answer:
14
Step-by-step explanation:
Got it right in Khan
Solve for x:
−2(x + 3) = −2(x + 1) − 4.
A. 2
B. 3
C. All real numbers
D. No solution
Answer:
C
Step-by-step explanation:
Any value of x makes the equation true.
Find three consecutive odd integers whose sum is -45. Find the largest
integer
x = the first integer.
x + 2 = the second integer.
x + 4 = the third integer.
x + x + 2 + x + 4 = -45
Combine like terms.
3x + 6 = -45
Subtract 6 from both sides.
3x = -51
Divide both sides by 3
x = -17
x + 2 = -17 + 2 = -15
x + 4 = -17 + 4 = -13
The largest integer is -13
Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.
WILL GIVE BRAINIEST IF RIGHT :)
A three and one fourth + 2x ≤ 6
B three and one fourth + 2x ≥ 6
C three and one fourthx + 2 ≤ 6
D three and one fourthx + 2 ≥ 6
Answer:
option 2 is correct-three and one fourth + 2x ≥ 6.
solving equations with variables on both side! due today
Answer:
x=5
Step-by-step explanation:
2-3x = -x-8
Add 3x to each side
2-3x+3x= -x+3x-8
2 = 2x-8
Add 8 to each side
2+8 = 2x-8+8
10 =2x
Divide by 2
10/2 =2x/2
5 =x
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.
Answer:
5% solution needed = 5.7 liters
40% solution needed = 4.3 liters
Step-by-step explanation:
Let the amount of 5% solution is needed = x liters
And the amount of 40% solution is needed = y liters
Concentration of the final solution = 20%
5x + 40y = 20(x + y)
x + 8y = 4(x + y)
4y = 3x
x = [tex]\frac{4}{3}y[/tex] -------(1)
Total volume of the final solution needed = 10 liters
Therefore, x + y = 10 --------(2)
Now substitute the value of x from equation (1) to equation (2).
[tex]\frac{4}{3}y+y=10[/tex]
[tex]\frac{7}{3}y=10[/tex]
y = 4.3 liters
From equation (2),
x + 4.3 = 10
x = 5.7 liters
I WILL GIVE CROWN WHO ANSWERS CORRECTLY
In the past month, Kaitlin rented 3 video games and 6 DVDs. The rental price for each video game was $2.60. The rental price for each DVD was $3.30. What is
the total amount that Kaitlin spent on video game and DVD rentals in the past month?
Kaitlin rented 3 video games and 6 dvds.
2.60 x 3 = 7.50 (dollars and cents)
3.30 x 6 = 19.80 (dollars and cents)
add them together to get the total cost in the past month.
(to find the answer you know the price for a single video game/DVD so what you do is multiply those prices times how much they bought)
ex: $2.60 x 3 <-- the amount of games she bought.
i hope this helps you.
Answer:
Kaitlin spent $27.60 on video games and DVDs in the past month.
Step-by-step explanation:
We know the price of one video game, one DVD, and the amount that was rented in the past month.
To find the total cost of the video games, multiply:
$2.60 x 3
= $7.80 spent on video games in the past month
To find the total cost of the DVDs, multiply:
$3.30 x 6
= $19.80 spent on DVDs in the past month
To find the total cost, add the total cost of video games and DVDs together:
$7.80 + $19.80 = $27.60
Conclusion: Kaitlin spent $27.60 in the past month on video games and DVDs.
What is the equation of the line passing through the points (2, -1) and (5, -10) in slope intercept form
Answer:
-3x+5
Step-by-step explanation:
y2-y1/x2-x1
-13 (q + 4) = 7 q + 16
Answer:
q=3.4
Step-by-step explanation:
-13q+-52=7q+16
-52=20q+16
-68=20q
-68/20 is -3.4