Answer:
48 months
Step-by-step explanation:
Brandon estimates that he will need $18,000 each year to attend a 4-year college.
His family can pay $5,000 a year and he can get a student loan for $10,000 each year.
This means that, each year, $15000 out of the $18000 has been covered. That is the sum of the money from his parents and the loan:
$5000 + $1000 = $15000
That means the amount he still needs to cover per year is:
$18000 - $15000 = $3000
In 4 years, he will need to cover:
4 * $3000 = $12000
He saves $250 a month. Therefore, the number of months he will need to save $12000 is:
[tex]\frac{12000}{250} = 48 months[/tex]
He will need to save for 48 months to save the rest of the money he will need for College.
Answer: It will take him 48 months.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
the amount his family can pay per year (5000) multiplied by 4 (since is a 4 year college) ; plus the amount of the loan he gets per year (1000) also multiplied by 4 ; plus the amount he saves per month (250) multiplied by the number of months (m) must be equal to the amount he will need per year for college (18000) multiplied by 4.
Mathematically speaking
18000 x 4 = (5000 x 4) + (10000x 4) + 250 m
Solving for m
72000= 20,000+ 40,000+ 250m
72,000-20,000-40,000 = 250m
12,000= 250m
12,000/250 = m
48 =m
Feel free to ask for more if needed or if you did not understand something.
21 = 1/4x what is x.
Answer:
84
Step-by-step explanation:
Hello there!
We could solve this with an equation, but just think about it. The given expression shows that 21 is 1/4 of x. So just multiply 21 by 4 and get 84.
;)
Lin is planning a birthday party at a restaurant. She has $566.25 to spend on the party. It costs $225 to rent a private room at the restaurant and $16.25 per person for the meal. How many people can Lin invite to the party?
Answer:
21
Step-by-step explanation:
first do 566.25 - 225. then divide that answer by 16.25
a right triangle with an angle of approximately 53.1 is inscribed in the first quadrant of the unit circle with a horizontal length of 3/5 and a vertical length of 4/5 complete the table for the following trigonometric functions
In a right triangle with an angle of 53.1 degrees, and sides 3/5 and 4/5, the sine is 4/5, the cosine is 3/5, and the tangent is 4/3. aThese methods and results are a fundamental part of understanding trigonometric functions in Mathematics.
Explanation:In this scenario, you were given a right triangle inscribed in the first quadrant of the unit circle. The angle of the triangle is given as 53.1 degrees, the horizontal length (adjacent side) is 3/5, and the vertical length (opposite side) is 4/5. We can calculate the trigonometric functions based on this. Trigonometry revolves around the relationship between side lengths of triangles and the angles they form.
Sine (sin) of an angle is defined as the ratio of the length of the side that is opposite the angle to the length of the longest side of the triangle (hypotenuse). Here, sin(53.1) = Opposite/Hypotenuse = 4/5.
The Cosine (cos) of an angle is defined as the ratio of the length of the adjacent side of the angle to the hypotenuse. So, cos(53.1) = Adjacent/Hypotenuse = 3/5.
The Tangent (tan) of an angle is the ratio of the sine of the angle to the cosine of the angle, which also equals the ratio of the opposite side to the adjacent side. Tan(53.1) = Sin(53.1)/Cos(53.1) = (4/5) / (3/5) = 4/3.
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The sine, cosine, and tangent of an angle in a right triangle inscribed in the first quadrant of the unit circle are respectively equal to the ratios of opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent sides. So, in your case where the triangle has an angle of 53.1 degrees, horizontal length 3/5, and vertical length 4/5, sinθ = 4/5, cosθ = 3/5, and tanθ = 4/3.
Explanation:In the right triangle you mentioned, the hypotenuse is the radius of the unit circle which is 1, the horizontal length (adjacent side, often represented as x) is 3/5, and the vertical length (opposite side, often represented as y) is 4/5. The quoted angle, usually symbolized as θ, is 53.1 degrees. With this information, we can calculate the trigonometric functions as follows:
Sine (sin) of θ is defined as the ratio of the opposite side to the hypotenuse. So, sinθ = y/h = 4/5 Cosine (cos) of θ is the ratio of the adjacent side to the hypotenuse. So, cosθ = x/h = 3/5 Tangent (tan) of θ is the ratio of the opposite side to the adjacent side. So, tanθ = y/x = (4/5) / (3/5) = 4/3 Learn more about Trigonometric Functions here:
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The absolute value of three, written as |3| because ?
Answer:
Then people will know anything inside those lines is positive.
Step-by-step explanation:
Hope this helps:)
Answer:
because there is 3 sides
Step-by-step explanation:
find the limit of the function by using direct substitution as X approaches one lim(x^2-8x -2)
Answer:
[tex] lim_{x \to 1} x^2 -8x -2 =-9[/tex]
Step-by-step explanation:
For this case we want to find the following limit:
[tex] lim_{x \to 1} x^2 -8x -2 [/tex]
And we can find the limit distirbuting into each term like this:
[tex] \lim_{x \to 1} x^2 -8 lim_{x \to 1} x -lim_{x \to 1} 2 [/tex]
And replacing we got:
[tex] 1^2 - 8*1 -2 = 1-8-2 = -9[/tex]
So then the final answer for this case is:
[tex] lim_{x \to 1} x^2 -8x -2 =-9[/tex]
Marco has 1/5 of his clothes in the laundry. What percent of his clothes are in the laundry
Answer:
20%
Step-by-step explanation:
1/5=.2
.2*100=.20%
PLZ HELP THIS IS HARD I WILL FIVE BRAINLIEST
Answer:
[tex]2\frac{1}{3}\: ft[/tex]
Step-By-Step Explanation:
[tex]Height\: of \:sail = 1\frac{1}{6}\: ft = \frac{7}{6}\: ft\\Base\: of \:sail = 4\: ft \\Area\: of \:sail =\frac{1}{2} \times base \times height\\=\frac{1}{2} \times \frac{7}{6} \times 4\\= \frac{7}{6} \times 2\\=\frac{7}{3}\\=2\frac{1}{3}\: ft[/tex]
A cylinder has a height of 5 centimeters and a radius of 2.3 centimeters. What is the volume of this cylinder?
A 3.32 cm3
16.62 cm
С
83.10 cm3
o o
D
180.64 cm
Answer:
c 83.10
Step-by-step explanation
3.14 times 2.3 times 5
[tex]q^{6}[/tex]÷[tex]q^{5}[/tex]
Answer:
q
Step-by-step explanation:
q^6 / q^5
Division by exponents is done by subtraction
a^b / a^c = a^(b-c)
q^6 /q^5 = q^(6-5) = q^1 = q
Miss Quinn made 4 loaves of bread for a dinner party. She cut one loaf in half and put a piece in her freezer. She then divided the remaining full loaves of bread into sixths. Her guests ate 7 pieces. How much bread does Miss Quinn have left?
Answer:
2 5/6
Mrs Quinn has 2 full loaves of bread and 5 pieces of the 1/6 portions of the bread.
Step-by-step explanation:
Mrs Quinn had 4 loaves of bread
1 loaf was divided into two halves
1/2 was kept in the freezer
3 loaves was divided into 1/6 pieces
Step 1
How many 1/6 pieces can we find in 3 loaves?
1 loaf of bread = 6 pieces of 1/6 portions of bread
3 loaves of bread =
3× 6 pieces = 18 pieces of 1/6 portions of bread in total.
From the question, her guests ate 7 pieces
The number of pieces left = 18 - 7
= 11 pieces left.
Step 2
We are asked how many loaves of bread does Mrs Quinn have left?
This is calculated by adding up the 11 pieces of 1/6 portions of the bread with the first loaf of bread that she divided into 2
The total would be
= 1 loaf + 11 pieces of 1/6 sizes of bread
= 1 loaf + 11( 1/6)
= 1 + 11/ 6
= 1 + 1 5/6
= 2 5/6
Therefore Mrs Quinn has 2 full loaves of bread and 5 pieces of the 1/6 portions of the bread.
Final answer:
After dividing and serving bread at her dinner party, Miss Quinn has 11 pieces of bread plus the half loaf she initially put in her freezer left.
Explanation:
Miss Quinn made 4 loaves of bread for a dinner party. She cut one loaf in half and put a piece in her freezer. She then divided the remaining full loaves of bread into sixths. Her guests ate 7 pieces. How much bread does Miss Quinn have left?
First, let's figure out how many pieces of bread Miss Quinn had after cutting and dividing the loaves. She had 4 loaves of bread total. After cutting one loaf in half and storing one half, she was left with 3.5 loaves. She then divided the 3 full loaves into sixths, resulting in 18 pieces (3 loaves × 6 pieces), plus the half loaf she did not cut into sixths. Therefore, before the guests ate, Miss Quinn had 18 pieces + 1 half loaf (considered as 1 unit here), for a total of 19 units of bread.
Her guests ate 7 pieces of the bread divided into sixths, leaving Miss Quinn with 18 - 7 = 11 pieces of the sixths and the half loaf in the freezer. Therefore, Miss Quinn has 11 pieces of bread + 1 half loaf left after her guests have eaten.
Mr. Akmal owns a bakery, he bought 100 eggs this week.15 out of them cracked. Find the percentage of cracked eggs.
Answer:
Step-by-step explanation:
[tex]\frac{15}{100}[/tex]×100 = 15%
What is an equation of a line through the points (-3,-2) and(3,6)? Put your answer in fully reduced form.
Answer:
m=6+2/3+3=8/6=4/3
y-y1=m(x-x1)
Y+2=4/3(x+3)
Y=4x/3 +4-2
y=4/3 x+2
Step-by-step explanation:
You have a tree in your yard 4 ft to the left of and 5 ft in front of the corner of your porch. A circular fence 3 ft in radius has its center at the tree. If the corner of your porch is the origin and forward is the positive y direction, what equation represents the circle formed by the fence in your yard?
Answer:
[tex](x+4)^2+(y-5)^2=9[/tex]
Step-by-step explanation:
If the corner of your porch is the origin
4 ft to the left, x=-45 ft in front, y=5The tree's location is at (-4,5).
A circular fence 3 ft in radius has its center at the tree(-4,5).We want to determine the equation of a circle with center (-4,5) and radius 3 ft.
The equation of a circle center (h,k) with a radius of r is given as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h,k)=(-4,5), r=3
The equation formed by the fence therefore is:
[tex](x-(-4))^2+(y-5)^2=3^2\\\\$Simplifying we obtain:\\\\(x+4)^2+(y-5)^2=9[/tex]
Select the correct answer. Use the discriminant to determine the number of real solutions to the quadratic equation given below. two real solutions one real solution infinite solutions no real solutions
Answer:
where is the equation
Step-by-step explanation:
b^2-4ac>o 2 real #zeros 2 x-intercepts
b^2-4ac=0 1 real number zeros 1 x-intercepts
b^2-4ac<0 0 real number zeros 0 x-intercepts
larry purchsed 3 pairs of pants for 24 each and 5 shirts for 18 each. how much larry spend
Answer:
162
Step-by-step explanation:
24 x 3 = 72
5 x 18 = 90
90 + 72 = 162
Answer:
162
Step-by-step explanation:
3*24=72 and 5*18=90 then add them together and they equal 162
At the present time, Daniel is 8 years older than his cousin William. In two years' time, Daniel will be 3 times older than William is at the present time. How old is Daniel at the present time?
Answer:
Daniel is 10 years old presently
Step-by-step explanation:
Since we do not know the ages of both people, we assign variables.
Let Daniel’s present age be d while Willam’s present age is w
Daniel is 8 years older;
Mathematically;
d = w + 8 •••••••••••(i)
In two years time Daniel’s age will be d + 2 while William’s age will be w + 2
We know that Daniel will be 3 times as old as Williams will be in these two years time
Mathematically;
d + 2 = 3(w + 2) ••••••• (ii)
From equation 1, we have w = d-8
we substitute this into equation ii
d + 2 = 3(d-8+2)
d + 2 = 3(d-6)
d + 2 = 3d - 18
3d - d = 18 + 2
2d = 20
d = 20/2
d = 10 years
Given that Lorenzo paid more than $30 for a ticket, what is the probability that he purchased the ticket at the box office?
This question is incomplete and it also lacks an attached diagram.
Find attached to this answer the appropriate diagram.
Complete Question:
The conditional relative frequency table was generated using data that compared the cost of one ticket for a performance and the method by which the ticket was purchased.
Given that Lorenzo paid more than $30 for a ticket, what is the probability that he purchased the ticket at the box office? Express the answer in decimal form
Answer:
0.14
Step-by-step explanation:
From the attached diagram, we were given a table that contained known values:
The number of tickets that were purchased online we have 2 categories
a) Not more than $30 = 0.7
b) More than $30 = 0.86
The number of tickets that were purchased at the box office also had 2 categories.
a) Not more than $30 = 0.3
b) More than $30 = 0.14
The probability that the ticket Lorenzo paid more than $30 for was purchased at the box office
= P( more than $30 at the box office)
= 0.14
Answer: A or 0.14
Step-by-step explanation:
Trust me sir
Geometry Question!!!
Answer:
EB = 20
Step-by-step explanation:
Given 2 chords intersecting inside a circle, then
Th product of the parts of one chord is equal to the product of the parts of the other chord, that is
10x = 8(x + 5) ← distribute
10x = 8x + 40 ( subtract 8x from both sides )
2x = 40 ( divide both sides by 2 ), thus
x = EB = 20
Item 16 A scale drawing of a triangular sign has a scale factor of 1:8. Which statements are true? The ratio of the area of the scale drawing to the area of the sign is 1:8. The ratio of the area of the scale drawing to the area of the sign is 1:16. The ratio of the perimeter of the scale drawing to the perimeter of the sign is 1:8. The ratio of the area of the scale drawing to the area of the sign is equal to the square of the scale factor.
Answer:
The correct option is;
The ratio of the area of the scale drawing to the area of the sign is equal to the square of the scale factor
Step-by-step explanation:
Here we have a scale factor of 1:8
Therefore area of drawing = 1/2×base, b×height, h = 1/2×b×h
Hence, the area of the triangular sin will be given by 1/2×8×b×8×h
Area of triangular sign = 64 × 1/2×b×h
Hence the ratio of the area of the scale drawing to the area of the triangular sign is equal to the square of the scale factor.
Answer:
the scale factor is 2
the area of the scale drawing is 3.75
and the last one is square
Step-by-step explanation:
edge 2021
Which decimal is equivalent to the fraction 115?
Answer:
115 is not a fraction, but it's 1.15 if you meant 115%
The cost for a pizza at Pizza Palace depends on the size of the pizza and the number of toppings for a large pizza the cost in dollars, C, with t numbers of toppings can be determined with the equation C = 2 t + 18 what does 2 represent in the equation
Answer:
C = 2 t + 18
This equation satisfy the general formula from a linear model:
[tex] y= mx +b[/tex]
Where m represent the slope and b the intercept.
And for this case the number 2 represent the slope for the model and is telling to us that if we increase the number of toppings by 1 unit we would expect an increase in the cost of 2 dollars.
The 18 is a fixed cost and represent the intercept for the model
Step-by-step explanation:
For this case we know that the cost in dollars, C for a pizza based, with t numbers of toppings can be determined with the equation
C = 2 t + 18
This equation satisfy the general formula from a linear model:
[tex] y= mx +b[/tex]
Where m represent the slope and b the intercept.
And for this case the number 2 represent the slope for the model and is telling to us that if we increase the number of toppings by 1 unit we would expect an increase in the cost of 2 dollars.
The 18 is a fixed cost and represent the intercept for the model
A plane flies 1640 miles in 4 hours . What is the average speed of the plane ??
Answer:
410 miles
Step-by-step explanation:
total distance covered (d) = 1640 miles
total time taken (t) = 4 hrs
average distance per hour= d/t
= 1640/4
= 410 miles
Answer:
410 mph
Step-by-step explanation:
[tex]average \: speed \\ = \frac{1640}{4} \\ = 410 \: mph[/tex]
Harry's Electronics kept track of how many customers bought a newly released gaming system during the first month it was available. The following box plot was created from this data.
Which of the following properly describes the data?
The correct statement is
The data is skewed right.
What is Box and whisker plot?The lower and upper quartiles are shown on the left and right sides of a box and whisker plot, respectively. The interquartile range, which contains 50% of the data, is covered by the box. The median is the vertical line that divided the box in half.
We have a box and whisker plot.
Based on the position of the median value in the box plot, we may decide if a distribution is skewed or not. The distribution is right-skewed (or "positively" skewed") when the median is closer to the bottom of the box and the whisker is shorter on the lower end of the box.
A right-skewed distribution with a positive skewness is one in which the median is smaller than the mean. The median of a left-skewed distribution is bigger than the mean when the skewness is negative, on the other hand.
Here, the data is shorter on the lower end of the box.
Thus, the plot is positively skewed.
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Wulaliguld prisms
What is the volume of the rectangular prism?
5 cm
8 cm
1 cm
Answer:40
Step-by-step explanation:
us 40
A circle has a circumference that is greater than 8 meters. The inequality 3.14 d greater-than 8 can be used to determine the possible lengths of the diameter of the circle. What are the possible values of d, the length of the diameter in meters?
Answer:
The possible values of d, the length of the diameter is d > 2.55 meters.
Step-by-step explanation:
The circumference of a circle is:
[tex]C=2\pi r=\pi\ d[/tex]
Here,
C = circumference
r = radius
d = diameter
It is provided that the circumference is greater than 8 meters.
That is,
[tex]C>8\\\pi\cdot d>8[/tex]
Use the value of π as 3.14.
Compute the range of values of d as follows:
[tex]\pi\cdot d>8\\\\3.14\times d>8\\\\d>\frac{8}{3.14}\\\\d>2.55[/tex]
The diameter of the circle is greater than 2.55 meters.
Thus, the possible values of d, the length of the diameter is d > 2.55 meters.
Answer:
To simplify the answer above, D
Step-by-step explanation:
30 POINTS! PLEASE ANSWER I SM VERY CONFUSED! Solve the equation 1 4 (16 + 12x) = 28 by first using the distributive property. The equivalent equation is found by distributing the One-fourth to get . The first step is . The second step is . The answer is .
Answer:
x=8.
Step-by-step explanation:
Distribute the 1/4 to get:
4+3x= 28.
Now, subtract both sides by 4, giving you:
3x= 24.
Divide both sides by 3, resulting in:
x=8.
Answer:
x=8.
Step-by-step explanation:
Distribute the 1/4 to get:
4+3x= 28.
Now, subtract both sides by 4, giving you:
3x= 24.
Divide both sides by 3, resulting in:
T= M (4+FG) solve for F
Answer:
f= t/mg - 4/g
Step-by-step explanation:
So the final solution for [tex]\( F \)[/tex]is:
[tex]\[ F = \frac{T - 4M}{MG} \][/tex]
To solve the equation [tex]\( T = M(4 + FG) \)[/tex] for [tex]\( F \)[/tex], you would follow these steps:
Step 1: Distribute the [tex]\( M \)[/tex]to terms inside the parentheses:
[tex]\[ T = 4M + MFG \][/tex]
Step 2: Move the term containing [tex]\( F \)[/tex] to one side of the equation:
[tex]\[ MFG = T - 4M \][/tex]
Step 3: Divide both sides by [tex]\( MG \)[/tex] to isolate [tex]\( F \)[/tex]:
[tex]\[ F = \frac{T - 4M}{MG} \][/tex]
Complete correct question:
How do you solve [tex]T=M(4+FG)[/tex] for [tex]F[/tex] ?
I need to figure this out
Answer:
A+ B is the radius of the circle
When we draw line AE it is also a radius of the circle
Line EC^2 = AE^2 -AC^2
Line EC^2 = 8^2 -5^2
Line EC^2 = 64 -25
Line EC^2 = 39
EC = square root of 39 = 6.2449979984
EC = 6.245 rounded.
Step-by-step explanation:
If a sample of 2.00 moles of NO gas was reacted with excess
oxygen, how many moles of nitrogen dioxide gas would be
produced?
Answer:
2 moles
Step-by-step explanation:
first you have to balance the equation:
2NO + O2⇒2NO2
then set up your mole to mole ratio
2 mol NO2/2 mol NO
multiply by the given 2.00 mol NO gas
and you should get 2 mol NO2
Final answer:
Starting with 2.00 moles of nitrogen monoxide (NO) and reacting it with excess oxygen (O2) will produce 2.00 moles of nitrogen dioxide (NO2) based on the 1:1 mole ratio from the balanced chemical equation.
Explanation:
The student is asking about the stoichiometry of a chemical reaction involving nitrogen monoxide (NO) and oxygen (O2) to produce nitrogen dioxide (NO2). In the balanced chemical equation, the reaction is typically represented as 2NO + O2
ightarrow 2NO2. Following the mole ratio from the balanced equation, 1 mole of NO reacts with 1/2 mole of O2 to produce 1 mole of NO2. Consequently, if you start with 2.00 moles of NO, you would also produce 2.00 moles of NO2 given that oxygen is in excess and will not limit the reaction.
This is because the balanced chemical equation shows the NO and NO2 in a 1:1 mole ratio. Therefore, the number of moles of reactants you start with will directly determine the number of moles of products formed, assuming you have an excess of the other reactants.
Area of the 8 ft by 5 ft rectangle
Answer:
40 sq ft.
Step-by-step explanation:
Area is l x w, where 8 is the length and 5 is the width. so you multiply 8 x 5, and you get 40 sq ft.
Answer:
40 sq ft
Step-by-step explanation: