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
Point S is on YB. YS:SB=4:1, Y(-10,6) and B(10,1). Find coordinates for point S
A.(-6,5)
B.(-2,4)
C.(2,3)
D.(6,2)
Answer:
The correct option will be: D. (6, 2)
Step-by-step explanation:
Point [tex]S[/tex] divides the line segment [tex]YB[/tex] in a ratio of [tex]4:1[/tex]
Given that, [tex]Y(-10, 6)[/tex] and [tex]B(10, 1)[/tex]
If a point [tex](x,y)[/tex] divides a line segment with endpoints as [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] in a ratio of [tex]m:n[/tex] , then...........
[tex](x, y)= (\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})[/tex]
Here, [tex](x_{1}, y_{1})=(-10,6)[/tex] and [tex](x_{2}, y_{2})=(10,1)[/tex]
Also, [tex]m:n=4:1[/tex]
Now plugging the values, we will get........
[tex]x=\frac{4(10)+1(-10)}{4+1}= \frac{40-10}{5}= \frac{30}{5}=6 \\ \\ \\ y=\frac{4(1)+1(6)}{4+1}= \frac{4+6}{5}= \frac{10}{5}=2[/tex]
So, the coordinates for point S will be: (6, 2)
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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If genie eat 1840 cal a day how many calories will she have eaten after 182 days
For this question, you need to multiply 1,840 by 182.
1,840/182 = 334,880.
:)
Of the students in sixth grade 3/5 pack their what percent of students pack their
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]
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
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.
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.
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?
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.
Determine if the rates $24 for 6 hours of work and $36 for 8 hours of work are equivalent. Explain your reasoning
The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and far admission. The price of the fair admission is the same for everyone. Use x to represent the number of tide tickets and y to represent the total cost.
(A) Find the cost of admission to the fair. Explain how you found the cost of admission.
(B) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.
(C) Explain what the coefficient on x and the constant of your linear equation represent.
To find the cost of admission to the fair, subtract the cost of the ride tickets from the total spent. The linear equation for cost of ride tickets and admission is y = 2.50x + 18. The coefficient represents the cost per ride ticket, while the constant term represents the cost of admission.
Explanation:(A) To find the cost of admission to the fair, we need to subtract the cost of the ride tickets from the total amount spent. Since Henry bought 15 ride tickets for $2.50 each, the cost of the ride tickets would be 15 * $2.50 = $<<15*2.5=37.5>>37.50. So, the cost of admission to the fair would be the difference between the total amount spent and the cost of the ride tickets: $55.50 - $37.50 = $<<55.50-37.50=18>>18.
(B) The linear equation to determine the cost of ride tickets and fair admission can be expressed as y = 2.50x + 18, where y represents the total cost and x represents the number of ride tickets.
(C) The coefficient on x, which is 2.50, represents the cost per ride ticket. The constant term of 18 represents the cost of fair admission.
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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.
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
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.
Can someone help me with Question 2?
The equation in undefined when the denominator is equal to 0.
The denominator is (x+5) (x+11)
Solve for the x's to make the equations equal 0:
x+5 = 0
Subtract 5 from each side:
x =-5
x+11 = 0
Subtract 11 from each side:
X = -11
There are two answers -5 and -11.
Which of the following equations is used to find the value of c (the distance to the foci) for an ellipse?
The equation of ellipse:
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]
The formula of c (the distance to the foci)
[tex]c^2=a^2-b^2\qquad|\text{add}\ b^2\ \text{to the both sides}\\\\c^2+b^2=a^2[/tex]
Answer: c² + b² = a²The value of {c} for an ellipse can be written as -
c = √(a² - b²).
What is ellipse?An ellipse has two focal points. The points on the ellipse are such that the the sum of the distance of the points from each foci remains the same.
Given is to find the equations to be used to find the value of {c} (the distance to the foci) for an ellipse.
We can write the expression for {c} in terms of the length of the semi - major and semi - minor axis of an ellipse as -
c = √(a² - b²)
or we can write -
c² = a² - b²
So, we can conclude that the value of {c} for an ellipse as -
c = √(a² - b²)
Therefore, the value of {c} for an ellipse can be written as -
c = √(a² - b²).
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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.
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
If three hats cost 24.30 how much is 1 hat
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.
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
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.
In germany vat is at 19% jeremy buys a calculator in germany for
€58.31 the price includes vat find out the amount of vat jeremy paid
Please Help! Graph f(x)=1/2x+2.
Replace X with a couple different numbers, solve the equation for the y value:
IF X = 2, then y would be 1/2(2) +2 = 1+2 = 3
so the first point would be on (2,3)
X = 4, y = 1/2(4) + 2 = 2+2 = 4
The second point would be on (4,4)
Plot those two points and then draw a line thought both points.
The graph of the function [tex]f(x) = \frac{1}{2}x + 2[/tex] is plotted below
The given equation is :
[tex]f(x) = \frac{1}{2}x + 2[/tex]
This can be written in the form:
f(x) = mx + c
Above is the slope-intercept form of the equation of a line with:
slope represented as m
y-intercept represented as c
Comparing [tex]f(x) = \frac{1}{2}x + 2[/tex] with f(x) = mx + c
m = 1/2, c = 2
Plot the graph when m = 1/2 and c = 2
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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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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)
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.