If each couple rests for [tex] k [/tex] minutes every hour, the time spent resting, [tex] r [/tex], after [tex] h [/tex] hours is given by
[tex] r = kh [/tex]
We know that a couple spent 25 minutes resting in 5 hour. So, the rate is
[tex] 25 = 5k \iff k = \dfrac{25}{5}=5 [/tex]
So, every couple rests 5 minutes per hour.
This means that, after 8 hours, the couples rest
[tex] r = 5\cdot 8 = 40 [/tex]
minutes.
Please help on this one
D, passes horizontal line test
this is simple graphing if you have a graphing calculator is easy put in the numbers and it is 1/11
Jason and his 3 roommates share the cost of the electric bill ece
The fare for a taxi cab is a $2 flat fee plus an additional $1.50 for each mile. Which equation represents the total cab fare in dollars?
WILL GIVE 5 STARS, PLEASE HELP!! multiple choice
Solve f^2i=−f^2t+h for f.
Answer: D
Step-by-step explanation:
f²i = -f²t + h
+f²t +f²t
f²i + f²t = h
f²(i + t) = h
[tex]\frac{f^{2}(i + t) }{i + t} = \frac{h}{i + t}[/tex]
[tex]f^{2}= \frac{h}{i + t}[/tex]
[tex]\sqrt{f^{2} } = \sqrt{\frac{h}{i + t} }[/tex]
f = +/- [tex]{\sqrt{\frac{h}{i + t} }[/tex]
If three hats cost 24.30 how much is 1 hat
Solve the systems by eliminations 3x-3y+4z=11
Helppp !!! A hot dog d costs $1 more than one half the cost of a hamburger h. Write a function.
The function would be 1+(1/2)h=d
This is because 1 more means addition and then 1/2 of the cost of a hamburger.
b: hamburger/ h: hotdog
B/2+1=h
Of the students in sixth grade 3/5 pack their what percent of students pack their
Elisa withdrew $20 at a time from her bank account and withdrew a total of $140.Francis withdrew $45 at a time from his bank account and withdrew a total of $270.Who made the greater number of withdrawals?Justify you answer
Divide the total amount withdrawn by the amount of each withdrawal for both people.
Elisa : 140 / 20 = 7 withdrawals.
Francis : 270 / 45 = 6 withdrawals.
Elisa made the most withdrawals because seven is greater than six.
While hiking, Mr.Finds burns 808 Calories in 8 hours. At this rate, how many Calories does he burn in 60 minutes?
Answer:
Mr Finds burns 101 calories in 60 minutes.
Step-by-step explanation:
We were given that Mr Finds burns [tex]808[/tex] calories in [tex]8[/tex] hours.
So we can write the ratio,
[tex]808:8[/tex]
At the same rate we want to find how many calories he burns in [tex]60[/tex] minutes.
This is equivalent to asking how many calories he burns in an hour.
Let [tex]x[/tex] represent the number of calories he burns in an hour. Since this should obviously be less than 808, we divide by 8 to get,
[tex]x=\frac{808\times 1}{8}[/tex]
[tex]\Rightarrow x=101[/tex]
Therefore Mr Finds burns 101 calories in 60 minutes.
Answer:
101 calories.
Step-by-step explanation:
We are told that while hiking, Mr.Finds burns 808 Calories in 8 hours.
To find calories burn by Mr. Finds in 60 minutes let us find calories burn per hour as 1 hour equals 60 minutes.
[tex]\text{Calories burn in 1 hour}=\frac{808\text{ Calories}}{8\text{ Hours}}[/tex]
[tex]\text{Calories burn in 1 hour}=101\frac{\text{ Calories}}{\text{ Hour}}[/tex]
Therefore, Mr. Finds will burn 101 calories in 1 hour or 60 minutes.
Forty-eight pounds of sand are used to fill 12 bags.
Miranda uses the five-step problem-solving plan. After completing the Solve step, how many pounds of sand should she find each bag will hold?
Enter you answer in the box.
lb
A babysitter is trying to determine the ages of three children: Jerome, Keenan, and Leitha. She knows the following facts about their ages: the sum of Jerome’s and Keenan’s ages is 18 years; the sum of Jerome’s and Leitha’s ages is 19 years; and the sum of Keenan’s and Leitha’s ages is 21 years. How old is Keenan?
Answer:
10 years.
Step-by-step explanation:
Let Jerome, Keenan, and Leitha have ages of x,y and z respectively,.
Then given that x+y =18 ... i
x+z =19 ... ii
y+z = 21 ... iii
From the above information we are to find out y and i.e.Keenan age.
Add all the 3 equations
Left side becomes x+y+y+z+z+x = 2(x+y+z)
and right side becomes = 18+19+21 = 58
In other words, 2(x+y+z) = 58
Divide by 2
x+y+z =29 ... iv
From the equation iv subtract ii
x+z =19
We get y = 10
Hence Kennan age = 10 years
The regular nonagon has rotational symmetry of which angle measures? Check all that apply. 40° 45° 120° 240° 260° 320°
central angle of 360° is divided into 9 equal angles each with a measure
360°/9=40°
question answered by
(jacemorris04)
Get-down electronics buys mp3 players with an invoice date of june 29, and terms of sale of 4/20 eom. Calculate the discount date.
Answer:
August 20.
Step-by-step explanation:
1. The problem says that the invoice date is June 29 and terms of sale of [tex]\frac{4}{20}[/tex] EOM. This means that if the payment is made 20 days from the end of the month, a percent of 4% may be taken as cash discount.
2. If the number of days in that month is greater than 25, you must add another month. Therefore, you must add July and 20 days of August.
3. Therefore, the discount date is August 20.
what is the range of the middle 50% of data
a. 2
b. 3
c. 6.5
d. 8
The correct option is: b. 3
Explanation
Middle 50% data means the "Interquartile Range" which is measured as the difference between the third quartile[tex](Q_{3})[/tex] and the first quartile[tex](Q_{1})[/tex] in a data set.
In the given box plot, we can see that: [tex]Q_{1}= 4[/tex] and [tex]Q_{3}= 7[/tex]
So, the Interquartile range, [tex]IQR= Q_{3}-Q_{1} = 7-4= 3[/tex]
Thus, the range of the middle 50% of data will be 3.
Expand by using the distributive property: (a + bc)2x
2xa + 2xbc (just multiply both units in the paranthesis by whats on the outside.)
(a + bc)2x
= 2x*a + bc*2x
= 2ax + 2bcx
Determine if the rates $24 for 6 hours of work and $36 for 8 hours of work are equivalent. Explain your reasoning
You are making balloons arrangements for a brithday party. There are 16 white balloons and 24 red balloons each arrangement must be identical what is the greatest number of arrangements you can make using every ballon
Answer: 8
Step-by-step explanation:
Find the GCF of 16 and 24
16: 2 x 2 x 2 x 2
24: 2 x 2 x 2 x 3
GCF = 8
NOTE: Each basket will contain 2 white and 3 red ballons.
A fair was attended by 834,009 people. Round the number to the nearest ten thousand.
A fair was attended by 834,009 people
Rounding up this number of people to nearest ten thousand.
9 has a 'ones' value
Going to the right from left:
Second last zero has a 'tens' value.
Third from last zero has a 'thousands' value
4 has 'ten thousands' value
Round up 4 and because it is less than five it converts to zero
This gives an answer of 830,000.
How many cases of 12 do you need to fill 159
You need a total of 14 cases of 12 to fill 159 items. This involves dividing 159 by 12 and rounding up the result. The division results in 13.25, which means you need 14 cases.
To determine how many cases of 12 are needed to fill a total of 159 items, you can use division:
Divide the total number of items by the number of items per case: 159 ÷ 12 ≈ 13.25Since you can't have a fraction of a case, you need to round up to the next whole number. Therefore, you need 14 cases.So, you need a total of 14 cases to completely fill 159 items.
24 times 10 times 90 equals 90 times 2,400
WRONG!
24 x 10 x 90
(24 x 10) x 90
240 x 90
That is NOT the same as 2400 x 90
The sides of a ladder are parallel. Since the rungs are perpendicular to one side of the ladder, what conclusion can be made?
- The sides are parallel to the rungs.
- The rungs are parallel to the sides.
- The sides are perpendicular to each other.
- The rungs are perpendicular to the other side.
- The rungs are perpendicular to the other side.
Answer:
The rungs are perpendicular to the other side.
Step-by-step explanation:
Given
The sides of ladder are parallel.Rungs is perpendicular to one side of the ladder.
Let [tex]a\parallel b[/tex]
[tex]a\perp c[/tex]
When two lines are parallel then the slopes of two lines are equal.
We can say [tex]m_1=m_2[/tex]
Where [tex]m_1[/tex]= slope of line a( side of ladder)
[tex]m_2[/tex]= solpe of line b( side of ladder)
When two lines are perpendicular then slopes of two lines are opposite reciprocal to each other.
We can say [tex]m_2=-\frac{1}{m_3}[/tex]
Where [tex]m_2[/tex]= Slope of line b
[tex]m_3 [/tex]=Slope of line c (rung)
By transitive property of equality we get
[tex]m_1=-\frac{1}{m_3}[/tex]
Hence, the slope of side of ladder a and rung c are opposite reciprocal to each other.Therefore , the rungs are perpendicular to the other side.
Paul's gross weekly salary is $456. What is the maximum monthly rent he can afford?Round to the nearest dollar.
Answer:
Weekly Salary of Paul = $ 456
Monthly salary of Paul (Considering there are 30 days in month)
[tex]=456 \times 4 + 2 \times \frac{456}{7}[/tex]
= $1954.2857
= $ 1954.30 (approx)
[tex]\frac{28}{36}[/tex] Rule states that 28 % of your income should be spent on housing finances.
So, 28 % of $ 1954.30
[tex]\frac{28}{100}\times 1954.30=547.20[/tex]
Option (C) $ 553 is true.
Answer:
553 is your answer
More than one quarter of the netherlands lies below sea level.Lucas visits a museum located at an elevation of 7m and bicyclesto the neighborhood of purmerend which has an elevation of -16m. What is the change of elevation for his trip?
The function is f(x) = 72+4x.
evaluate the function for f(9)
For solving a question like this where you have to find a function for a particular value, just put the given number in place of the unknown variable i.e. x in this case. Lets solve this function now.
We are to solve for f(9), so we will put 9 in place of x:
f(x) = 72+4x
f(9) = 72 + 4(9)
f(9) = 72 + 36
f(9)= 108
so, your function for the value 9 is 108.
Maria buys a dress that is 15% off. She then uses a coupon to get an additional 10% off the sale price. She pays $91.80 for the dress. What was the original price of the dress? PLZ INCLUDE STEPS SO I KNOW HOW TO DO IT!!
Answer:
$120
Step-by-step explanation:
First add the 10% back, to do so make it a decimal by moving the . over to the left twice.
Now setup the equation OP= New price/(1-discount)
91.80/(1-.10)=102
So the price before the 10% discount is $102
Now set it up again with the new numbers.
102/(1-.15)=120
So the original price before all discounts was $120
*Let p = original price
So firstly, how would we get the price when it's 15% off? You would find multiply the price by 0.15 (15% in decimal form) and then subtract the product from the original price. This can be represented as [tex](p-p\times0.15)[/tex]
Next, we would have to use the 10% off when the dress is already 15% off. The process is similar: Multiply 0.10 (10% in decimal form) with 15% off dress, then subtract the product from the 15% off price. This can be represented as [tex](p-p\times0.15)-0.10(p-p\times0.15)[/tex]
Now since the price is equal to $91.80, we would equal the prior expression to 91.80 as such: [tex](p-p\times0.15)-0.10(p-p\times0.15)=91.80[/tex] From here we can solve for p.
Firstly, solve the multiplication inside of the parentheses:
[tex](p-0.15p)-0.10(p-0.15p)=91.80[/tex]
Next, distribute -0.10 to (p - 0.15p):
[tex]p-0.15p-0.10p+0.015p=91.80[/tex]
Next, combine like terms:
[tex]0.765p=91.80[/tex]
Lastly, divide both sides by 0.765:
[tex]p=120[/tex]
Answer:The original price of the dress was $120.
Select ALL the correct answers.
Todd is at the grocery store purchasing ingredients for homemade granola. He needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. The total cost of the other ingredients is b dollars. The following expression represents the total amount of money that Todd will spend on all of the granola ingredients.
Todd later finds almonds in the bulk section that are half the price of those in the baking section. If he purchases the almonds in the bulk section, which of the following statements are true about the given expression?
The value of x will change because that is the price of the almonds
Therefore mx will change
And the value of mx+b will decrease because the price is cheaper
Answer:
The correct statements are :
1. The value of mx will change.
2. The value of m will change.
3. The value of mx+b will decrease.
Step-by-step explanation:
Todd needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. So, price of x ounces becomes = mx
The total cost of the other ingredients is b dollars.
Hence, total cost is given as = [tex]mx+b[/tex]
Now, Todd later finds almonds in the bulk section that are half the price of those in the baking section.
So, now price is :[tex]\frac{m}{2}[/tex]
And total price for 'x' ounce will become: [tex]\frac{mx}{2}+b[/tex] dollars.
Therefore, if Todd purchases the almonds in the bulk section, the total cost will decrease.
The correct statements are :
1. The value of mx will change.
2. The value of m will change.
3. The value of mx+b will decrease.
An adult sleeps about 480 minutes per day. An infant sleeps about 820 minutes per day. About how many more minutes does an infant sleep than an adult. in one week? Solve. the problem two different ways.
An infant sleep more than 2,380 minutes to adult sleep.
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
An adult sleeps about 480 minutes per day.
An infant sleeps about 820 minutes per day.
Now,
An infant sleeps in a week = 7 x 820
= 5,740
And, An adult sleep in a week = 7 x 480
= 3,360
So, An infant sleeps more than adult in a week = 5,740 - 3,360
= 2,380 minutes.
Thus, An infant sleep more than 2,380 minutes to adult sleep.
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Factor the expression over the complex numbers.
x^2+25
-i^2 = 1
so
x^2+25 = x^2 - 25i^2
= (x + 5i)(x - 5i)
The expression over complex numbers will be (x + 5i)(x - 5i).
What are complex numbers?Every complex number may be represented in the form a + bi, where a and b are real numbers.
A complex number is an element of a number system that extends the real numbers with a specific element labelled I sometimes known as the imaginary unit, and satisfies the equation i² = 1.
The given expression is x²+25.
i² = -1
x²+25 = x² - 25i²
x²+25 = (x + 5i)(x - 5i)
Therefore, the expression over complex numbers will be (x + 5i)(x - 5i).
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a building that is 20 meters tall casts a shadow that is 5 meters long. at the same time a tree casts a shadow that is 8 meters long. how tall is the tree?
That tree would be a whopping 32 meters tall. Hope this helps
The height of the tree will be 32 meters.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A building that is 20 meters tall casts a shadow that is 5 meters long. at the same time a tree casts a shadow that is 8 meters long.
Let the height of the tree will be H.
We know that the ratio of the height and shadow cast will be constant. Then the equation will be
H / 8 = 20 / 5
H = 8 x 20 / 5
H = 8 x 4
H = 32 meters
The height of the tree will be 32 meters.
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