Answer: D
Step-by-step explanation:
On USA test prep the answer is D.
Answer:
They are incorrect. The answer is actually 36.9
Step-by-step explanation:
need the anwser please
Answer:
A=60
Step-by-step explanation:
what do i multiply 5/6 by to get 10/12
Answer:
2
Step-by-step explanation:
you get 2 because 5 times 2 equals 10 and 6 times 2 equal 12. so you get 10/12
Step-by-step explanation:
[tex]\frac{5}{6} = \frac{5\times 2}{6\times 2} = \frac{10}{12} \\ \\
[/tex]
Therefore, answer is 2.
express each fraction as the sum of two or three equal fractional parts. rewite each as a multiplication equation. show part a on a number line.
See the explanation
Explanation:Hello! remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any fraction so I'll give you a fraction in order to illustrate this problem such that the fraction can be rewritten as the sum of two equal fractional parts and that that fraction can also be rewritten as a multiplication equation:
CHOSEN FRACTION:
[tex]\frac{16}{15}[/tex]
1. Written as the sum of two equal fractional parts:
[tex]Let's \ divide \ this \ fraction \ by \ 2: \\ \\ \frac{16}{15}\div 2=\frac{8}{15} \\ \\ \\ So: \\ \\ \frac{16}{15}=\frac{8}{15}+\frac{8}{15}[/tex]
2. Written as a multiplication equation:
[tex]We \ can \ write: \\ \\ 16=4\times 4 \\ \\ 15=3\times 5 \\ \\ \\ So: \\ \\ \frac{16}{15}=\frac{4}{3}\times \frac{4}{5}[/tex]
The addition problem is shown below in the number line.
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10
Driving. In an emergency, the distance,
d m, it takes for a car moving at a
speed of v m/s to stop completely is
given by d = 0.15v2 + v.
(i) When the car has only 80 m to stop,
show that 3v2 + 20v – 1600 < 0.
(ii) Solve the inequality in part (i) to
find the maximum speed of the car.
Answer:
i) The proof is belowii) The maximum speed is 20m/s
Explanation:
(i) When the car has only 80 m to stop, show that [tex]3v^2+20v-1600<0.[/tex]
The distance, [tex]d[/tex] [tex]m[/tex], it takes for a car moving at a speed of [tex]v[/tex] [tex]m/s[/tex] to stop completely is given by [tex]d=0.15v^2+v[/tex]
The car must stop before the 80 m, so the distance to stop is less than 80 m:
[tex]d<80[/tex]
Substitute:[tex]0.15v^2+v<80[/tex]
Multiply both sides by 20:[tex]20\times 0.15v^2+20\times v<20\times 80\\\\3v^2+20v<1600[/tex]
Subtract 1600 from both sides:[tex]3v^2+20v-1600<0[/tex]
Which is the expression you wanted to prove.
(ii) Solve the inequality in part (i) to find the maximum speed of the car.
To solve the inequality you need to factor the left side:
Put 20v as 80v - 60v[tex]3v^2+80v-60v-1600<0[/tex]
Use commutative property of addition[tex]3v^2-60v+80v-1600<0[/tex]
Use associative property[tex](3v^2-60v)+(80v-1600)<0[/tex]
Factor each binomial:[tex]3v(v-20)+80(v-20)<0[/tex]
Common factor [tex](v-20)[/tex][tex](v-20)(3v+80)<0[/tex]
There are two possible solutions: 1) the first factor is positive and the second negative, and 2) the first factor is negative and the second positive.
1. First tentative solution
[tex]v-20>0\\\\v>20\\\\3v+80<0\\\\3v<-80\\\\ v<-80/3\\\\v<-26.26[/tex]
The speed cannot be greater than 20m/s and less than - 26.26 m/s at the same tine, thus, there are not solutions for this assumption.
2. Second tentative solution
[tex]v-20<0\\\\v<20\\\\3v+80>0\\\\3v>-80\\\\ v>-80/3\\\\v>-26.26[/tex]
You are looking for an upper bound, thus the solution is that the speed is less than 20m/s.
Write a function (f) that determines the value of the house (in thousands of dollars) in terms of the number of years (t) since Kyle purchased the house
To determine the house's value over time, a function can be created using the initial value and an annual growth rate. Specific details about the growth rate are needed for an accurate function, but a generic formula with a constant rate can still be provided.
Explanation:Creating a Function for House Value Over Time
To write a function that determines the value of a house in thousands of dollars based on the number of years since purchase, we would need additional information about how the house's value appreciates or depreciates over time. This could involve a fixed annual appreciation rate, market trends, renovations, or depreciation.
Without specific data, a generic function can still be proposed, assuming a constant annual percentage increase. Let's call the annual growth rate 'r' (in decimal form) and the original value of the house 'V'. The function would then be:
f(t) = V × (1 + r)^t
For example, if Kyle bought the house at a value of $100,000 (or 100 in thousands of dollars) and the annual growth rate is 3% (or 0.03), the function defining the future value of the house would be:
f(t) = 100 × (1 + 0.03)^t
Using this formula, we can calculate the future value of Kyle's house after any number of years 't'.
a server brings 9 bread sticks to a table with 4 people. How many bread sticks each persons gets ?
Answer:
2 1/4
Step-by-step explanation:
Each person gets 2 1/4 bread sticks.
9÷4= 2 1/4
Answer:
each person gets
2 1/4 (= 2.25) bread sticks
Step-by-step explanation:
total number of breadsticks = 9
total number of people = 4
assuming everyone gets the same amount of breadsticks
dividing 9 bread sticks by 4 people
= 9/4
= 2 1/4 (= 2.25) bread sticks
The sum of two numbers is 90. The larger number 14 more than 3 times the smaller number. Find the numbers.
The numbers are 71 and 19
Solution:
Let "x" be the larger number
Let "y" be the smaller number
Given that,
Sum of two numbers is 90
Therefore,
x + y = 90 ------ eqn 1
The larger number 14 more than 3 times the smaller number
Larger number = 14 + 3(smaller number)
x = 14 + 3y ------ eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
14 + 3y + y = 90
14 + 4y = 90
4y = 90 - 14
4y = 76
Divide both sides by 4
y = 19
Substitute y = 19 in eqn 2
x = 14 + 3(19)
x = 14 + 57
x = 71
Thus the numbers are 71 and 19
Staci has 90 to buy clothes . She spends 78 at a department store and wants to buy socks that cost 4 per pair. how many pairs of socks can Staci buy?
Answer:
3 pairs
Step-by-step explanation:
After spending 78 out of 90, Staci has 12 left.
12/4 = 3
Answer:
3
Step-by-step explanation:
90-78=12
4x3= 12
12-12= 0
On its first visit to the vet, Emma's kitten weighed 30 ounces. On its second visit, the kitten had gained 8 ounces. On its third visit,the kitten had gained another 6 ounces. What is the percent increase, rounded to the nearest percent, of the kitten's weight since its first visit?
Answer: 14.6 % increase
Step-by-step explanation: 44 divided by 30 = 1.46
To decimal = 14.6 percent
Answer:
14.6
Step-by-step explanation:
Laurie buys four bags of candy with ten pieces of candy in each bag then her father gives her five more pieces of candy Laurie wants to give as much of her candy as she can to each of her six friends and she wants to make sure they get a equal number of pieces how many pieces will be left over if any after Laurie gives her friends the candy
Answer:
The answer is 7 candies for each friend with a remainder of 3. If you are taking or have taken decimals i suggest you write 7.5 because candy can be split in half.
Step-by-step explanation:
First, multiply 4 by 10. The product is 40. Then, add 5. The sum is 45. Divide 45 by 6. The quotient is 7 with a remainder of 3.
Tyler plans to snowboard for 7 days. A daily ticket costs $50, but there is a
discount of $40 off the total if you ski for 7 or more days. If Tyler goes to the
ticket counter with $340, how much change does he get back?
Which of the following sets of equations correctly represents this situation?
Answer:
Step-by-step explanation:
$8.75
Tyler gets $30 in change after buying a 7-day snowboarding ticket with a discount, having gone to the ticket counter with $340.
To calculate the change Tyler gets back, we must first determine the total cost of his 7-day snowboarding trip with the discount.
Tyler plans to snowboard for 7 days. A daily ticket costs $50. Since he is going to snowboard for 7 or more days, he gets a discount of $40 off the total.
Without the discount, the cost for 7 days would be 7 days * $50/day = $350.Applying the discount, the total cost becomes $350 - $40 = $310.Tyler goes to the ticket counter with $340. To find out how much change he gets back, we subtract the total cost from the amount he has:
$340 - $310 = $30
Therefore, Tyler will receive $30 in change.
Divide 645 by 3 to get your answer
Answer:
645/3 = 215
Step-by-step explanation:
You can use long division to find the answer.
Decide which variable to isolate. Then substitute for this variable, and solve the system x=y+4, 3x +y=16
x = y + 4 is already done so we will substitute that into the other equation!
3(y + 4) + y = 16
Distribute.
3y + 12 + y = 16
Add the terms.
4y + 12 = 16
Give y its own side.
4y = 4
Divide by 4.
y = 1
Substitute this back into one of the equations.
x = 1 + 4
x = 5
The point for these 2 equations is (5, 1)
⭐ Answered by Hyperrspace (Ace) ⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
To solve the equation, isolate and substitute variable 'y' in the first equation with 'x - 4'. This leads us to find 'x = 5'. Substituting 'x' in the first equation gives us 'y = 1'. Therefore the solution is 'x = 5, y = 1'.
Explanation:The subject at hand is an algebra problem involving a system of two equations. First, we can select which variable to isolate. In our case, isolating 'y' in the first equation would be easier than it might seem. That would leave us with 'x = y + 4'.
Next, we can substitute 'y' with 'x - 4' in the second equation, giving us '3x + (x - 4) = 16'. We simplify this equation to '4x = 20'. Solving this gives us 'x = 5'. Lastly, we replace 'x' in the first equation with '5', which gives us the value of 'y = 5 - 4', so 'y = 1'.
The solution to the system of equations 'x = y + 4 and 3x + y = 16' therefore is 'x = 5, y = 1'.
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How do I solve for n in this equation:
-6n-20=-2n+4(1-3n)
Answer:
-6n-20=-2n+4(1-3n)
Solution
The bracket should be expanded
-6n-20=-2n+4-12n
Then we collect the like terms
-6n + 2n+12n = 20+4
8n=24
Now divide both sides by 8
8n/8 =24/8
n = 3
You can now insert 3 into anywhere you see n and see how it goes
-6n-20= -2n + 4(1-3n)
-6(3) - 20 = -2(3) + 4[ 1-3(3)]
-18 -20= -6 + 4(1-9)
-38= -6 -32
-38= - 38
That's all
Step-by-step explanation:
what is 4/3 times 3.14 times 8 cubed divided by 2
Answer:
1071.8 to 1 decimal point
Step-by-step explanation:
The first thing you would do is multiply the 4/3, 3.14 and the 8^3
So we know that 8^3 is 8X8X8 which is 512
So the first thing you do I 4/3 X 3.14 X 512 = 160768/75 (2143.6 1DP)
Then you would divide this by 2
2143.6/2 = 1071.8
imagine a warehouse that has a rectangular floor and that contains all of the boxes of breakfast cereal bought in the united states in one year if the warehouse 10 feet tall what could the side lengths of the floor be
Answer:
see the explanation
Step-by-step explanation:
The complete question in the attached figure
step 1
Find the volume of a typical cereal box
[tex]V=LWH[/tex]
substitute the given values
[tex]V=(2.5)(7.75)(11.75)=227.65625\ in^3[/tex]
Convert to cubic feet
Remember that
[tex]1\ ft=12\ in[/tex]
so
[tex]1\ ft^3=1,728\ in^3[/tex]
so
[tex]227.65625\ in^3=(227.65625/1,728)\ ft^3[/tex]
step 2
Find the volume of all of the boxes of breakfast cereal bought in the united states in one year
Multiply the volume of one box by 2.7 billion boxes
[tex](227.65625/1,728)(2,700,000,000)=355,712,890.625\ ft^3[/tex]
step 3
If the warehouse is 10 feet tall what could the side lengths of the floor be?
Divide the volume by the height to obtain the area of the rectangular base
[tex]A=(355,712,890.625)/10=35,571,289\ ft^2[/tex]
If the floor were a square, the dimensions would be
5,964 ft by 5,694 ft approximate
The area of the warehouse's floor can be calculated by dividing the total volume of cereal boxes by the height of the warehouse, which is given to be 10 feet. The exact dimensions of the floor (length and width) cannot be determined from the information given. Many combinations of length and width can yield the same area.
Explanation:Given the problem, it is implied we must estimate the size of the warehouse able to contain the volume of all the cereal boxes purchased in the United States in one year. The shape mentioned is a rectangular prism (a box), with known height 10 feet. The area of the warehouse floor (base) would be the total volume divided by the height of the warehouse.
However, the information needed to calculate the exact dimensions of the warehouse's base (length and width) is not provided in the question. Essentially, many combinations of length and width could yield the same area. For example, if the area was 200 sq ft, it could be 20 ft by 10 ft, or 40 ft by 5 ft, and so on.
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Urgent!!!
What kind of triangle is this?
Obtuse
Acute
Supplementary
Right
Please help!!!?!!
Option D:
Right triangle
Solution:
Let us first define obtuse, acute right triangle and supplementary.
Obtuse angled triangle:
If any one of the angle in the triangle is more than 90°, then the triangle is an obtuse angled triangle.
Acute angled triangle:
If all the angles of the triangle are less than 90°, then the triangle is an acute angled triangle.
Right angled triangle:
If any one of the angle in the triangle is exactly 90°, then the triangle is a right angled triangle.
Supplementary:
If sum of the angles is 180°, then the angles are supplementary angles.
But this is not a kind of triangle.
In given triangle one of the angle is 90°.
Therefore, this is a kind of right triangle.
Option D is the correct answer.
Which value is equivalent to 48 ÷ ((2 + 6) × 2) − 1?
Answer:
1
Step-by-step explanation:
use PEMDAS=
2+6=12
12x2=24
48/24=2
2-1= 1
Answer:
2
Step-by-step explanation:
first you do things that are in perrinthes so that would be 2+6 is 8 times 2 because there is another perrinthes so thats 16 then divide 48 by 16 so then you get 3 minus 1 is 2( yeah im bad at spelling)
A biking track has a length of 0.8 miles mi. How long is this in feet ft?
I need help, this question is confusing because I dont remember learning it! Thanks♡
Answer:
you want to divide 2¾ by ¼to find how many pieces leah cut.
hope this helps.
Step-by-step explanation:
show work. step by step instructions.
solve for p
4(p+2)=28
We can use the distributive property for this:
4 (p+2) = 28
4p + 8 = 28.
4p = 28 - 8.
4p = 24.
Divide by 4 on both sides:
p = 6
if EF=FG, then F is the midpoint of EG
what property if equality is that
In geometry is defined as the equality between the two line segments are said to be congruent when they have the same length.
Given that, if EF=FG, then F is the midpoint of EG.
What is the midpoint of a line segment?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.
Congruent line segments are 1-dimensional geometrical figures having equal measures. The word "congruent" with respect to congruent lines in geometry is defined as the equality between the two line segments. Two lines are said to be congruent when they have the same length.
Here, F is the midpoint of EG it bisects the line EG, which is EF=FG
Therefore, in geometry is defined as the equality between the two line segments are said to be congruent when they have the same length.
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Marrero is in a hot-air balloon that is 600 feet above the ground, where he can see two people.
b. If the angle of depression from his line of sight to the person at C is 20˚, how far is the person from the point on the ground below the hot-air balloon?
Round your answer to the nearest feet (whole number).
Answer: The distance from the person on the ground to the bottom of the hotair balloon is 1,649 ft
Step-by-step explanation: Please refer to the attached diagram
From the diagram, the hotair balloon is labelled B. If Marero looks down and forms an angle of depression of 20°, that means he is forming an angle of 70° to point C where one of the two persons are standing. Point B is an angle of 70° (point A cuts point B at a perpendicular, that is, 90°)
With these we can now use the trigonometrical ratio of tangent to calculate the distance marked x on the diagram.
Tan B = opposite/adjacent
Tan 70 = x/600
When we cross multiply, we now have
Tan 70 × 600 = x
2.7475 × 600 = x
1648.5 = x
Rounded to the nearest feet
x = 1,649 feet
Final answer:
To determine the distance of the person from the ground point below the hot-air balloon, we use the angle of depression and the tangent trigonometric ratio. The calculation yields approximately 1648 feet when rounded to the nearest whole number.
Explanation:
To solve for the distance of the person at point C from the point on the ground directly below the hot-air balloon, we need to use trigonometric ratios. To find this distance, which we'll call 'd', we'll use the tangent of the angle of depression. The angle of elevation from the person looking up to the hot-air balloon would also be 20° because alternate interior angles created by a transversal intersecting two parallel lines are congruent. The relationship we use is:
tangent of angle = opposite/adjacent
In this case:
tan(20°) = 600/d
To isolate 'd', we take:
d = 600 / tan(20°)
Using a calculator, we find:
d ≈ 600 / 0.3640 ≈ 1648.35 feet
Rounded to the nearest whole number, the person at C is approximately 1648 feet from the point on the ground below the hot-air balloon.
I will give brainliest if right!!!!!!!!
Answer:
Its 6 dollars, because the unit price is $4 per popover while the unit price for a bannock burger is $10 per burger. You see... If you did your math correctly, you should have a result of $6 from subtracting 4 from 10.
Have a good day!~
28 and 65 thousands as a decimal help asap Iready question 2 does anybody have a answer key for all the iready questions plz help
Answer:
28.065
Step-by-step explanation:
Helena said that 12 ÷ 1/3 is 4. Draw a model and use words to explain why halina statement is not reasonable.
What is the equation of the line that has a slope of 4 and passes through the point (3,-10)
Answer:
y=4x-22
Step-by-step explanation:
y-y1=m(x-x1)
y-(-10)=4(x-3)
y+10=4x-12
y=4x-12-10
y=4x-22
(Score for Question 3: __of 12 points)
3. The area of a rectangle is 45x^8y^9square yards. If the length of the rectangle is 5x^3y^4 yards,
which expression represents the width of the rectangle in yards?
Answer:
Answer:
The expression for the width of the rectangle is [tex]9x^{5}y^{5}[/tex].
Step-by-step explanation:
The formula to compute the area of a rectangle is,
[tex]Area=length\times width[/tex]
Given:
Area = [tex]45x^{8}y^{9}\ square\ yards[/tex]
Length = [tex]5x^{3}y^{4}\ yards[/tex]
Determine the expression for the width of the rectangle as follows:
[tex]Area=length\times width\\45x^{8}y^{9}=(5x^{3}y^{4})\times width\\width = \frac{45x^{8}y^{9}}{5x^{3}y^{4}} \\=\frac{45}{5}\times [x^{8-3}]\times [y^{9-4}]\\ =9x^{5}y^{5}[/tex]
Thus, the width is [tex]9x^{5}y^{5}[/tex].
A rectangle has a perimeter of 48 feet the length and width are scale by a factor of 1.5 what is the perimeter of the resulting rectangle
Answer: I believe it is 6
Step-by-step explanation:
The formula of perimeter is
P=2(l+w)
so plug in 1.5 for length and width
P=2(1.5+1.5)
your answer should be 6.
How to solve for m in -2/9m + 12 = -8
Final answer:
To solve the equation -2/9m + 12 = -8 for m, subtract 12 from both sides, then multiply by -9/2. The solution is m = 90.
Explanation:
To solve the equation -2/9m + 12 = -8 for m, start by isolating the term involving m. Subtract 12 from both sides of the equation to get:
-2/9m = -8 - 12
-2/9m = -20
Next, multiply both sides by -9/2 to solve for m:
m = (-20) * (-9/2)
m = 180/2
m = 90
Therefore, the solution to the equation is m = 90.