Answer:
1.) C
2.) A
3.) D
4.) C
Step-by-step explanation: Given that the
$8,008 for tuition and fees each year.
Room and housing are an additional $8,392 per year.
Total = 8008 + 8392 = $16400
1.) Scholarship - $1,000
Grant - $1,000
Student Loan - $4,500
Months - 42
Yearly = 42/12 = 3.5 years
Total support = 1000 + 1000 + 4500
= $6500
Savings = 16400 - 6500 = 9900
First year savings = 9900/3.5
= 2828.57 dollars
2. Scholarship - $6,000
Grant - $500
Student Loan - $4,500
Months - 24
Yearly = 24/12 = 2
Support = 4500 + 6000 + 500
= $11000
Savings = 16400 - 11000
= 5400 dollars
First year savings = 5400/2
= 2700 dollars
3.) Scholarship - $10,000
Grant - $2,000
Student Loan - $0
Months - 18
Yearly = 18/12 = 1.5
Support = 10000 + 2000 = $12000
Savings = 16400 - 12000
= 14400 dollars
First year savings = 4400/1.5
= 2933.33 dollars
4.) Scholarship - $3,000
Grant - $2,000
Student Loan - $4,500
Months - 39
Yearly = 39/12 = 3.25
Support = 3000 + 2000 + 4500
= 9500 dollars
Savings = 16400 - 9500 = $6900
First year savings = 6900/3.25
= $2123.08
BC=
im not sure on how i am supposed to do this
Answer:
BC=15.01
Step-by-step explanation:
Line segment BC can also be represented by '?'. To solve for BC, find the value of '?'
Use the tangent ratio:
[tex]tangentX=\frac{opposite}{adjacent}[/tex]
Because you need the value opposite the given angle and you are given the length of the side adjacent the given angle (hypotenuse does not count as the adjacent side, EVER (btw)). Let 65° be X and let x replace'?'.Insert the appropriate values:
[tex]tan65=\frac{x}{7}[/tex]
Solve by isolating x. Multiply 7 to both sides:
[tex]7*(tan65)=7*(\frac{x}{7})\\\\7*tan65=x\\\\x=7*tan65[/tex]
Insert this equation into a calculator:
[tex]x=15.0115...[/tex]
Round to the nearest hundredth:
[tex]x=15.01[/tex]
So, BC is 15.01
Finito.
Factorise
4m - 8mn + 6m2
Answer: 2m(3m - 4n + 2)
Step-by-step explanation: Factor 4m - 8mn + 6m^2
6m^2 - 8mn + 4n
= 2m(3m - 4n + 2)
1. Triangle JKL is dilated by a scale factor of 1.5 with
the origin as the center of dilation. Look at each
ordered pair. Does the ordered pair represent a
vertex of the image?
Select Yes or No for A-C.
A. (-3, -4.5) O Yes No
B. (1.5,-6) O Yes O No
C. (3,0) o Yes O No
Answer:
A. yes
B. yes
C. no
Step-by-step explanation:
The coordinates of each point are (x, y).
J (-2, -3)
K (0, 2)
L (1, -4)
After being scaled by 1.5 about the origin, the coordinates are (1.5x, 1.5y).
J (-3, -4.5)
K (0, 3)
L (1.5, -6)
PLEASE HELP
and the other option is
180
270 clockwise
or 270 counterclockwise
90⁰ counterclockwise
Five metal cubes with sides of 7 cm are melted and then casted into a spherical ball.
Find the radius of the sphere that is formed. Round your answer to the nearest
hundredth.
To find the radius of the sphere formed by melting five metal cubes with 7 cm sides, calculate the combined volume of the cubes and equate it to the volume of the sphere; then solve for the radius, which is approximately 7.24 cm.
To find the radius of the sphere formed by melting five metal cubes, we need to equate the total volume of the cubes to the volume of the sphere. The volume of a cube with a side length of 7 cm is found by the formula V = s³, where s is the side length of the cube. For one cube, this is V = 7 cm x 7 cm x 7 cm = 343 cm³. Since there are five cubes, the total volume is 5 x 343 cm³ = 1715 cm³.
The volume of a sphere is given by the formula V = 4/3 * π * r³, where r is the radius of the sphere. We must solve for r when the volume is 1715 cm³. Setting the volumes equal gives 4/3 * π * r³ = 1715 cm³. Solving for r yields:
r³ = (1715 cm³) / (4/3 * π)
r = (1715 cm³) / (4.14159)^√(1/3)
r ≈ 7.24 cm
Therefore, the radius of the sphere is approximately 7.24 cm.
Pls help with this
Answer:
under 7 is 35 and the next box is 9 on top and 45 on the bottom
Step-by-step explanation:
you have to multipy the books Jillian read by how many times 3 can go into 15, which is 5 times. You can also divide 15 by 3 to find out if its multiplied by 5.
What is the quotient?
Answer:
4 x 10^12
Step-by-step explanation:
4,000,000,000,000
The quotient is 4*10^12.
(6*10^8) / (1.5*10^-4) = 4*10^(8-(-4)) = 4*10^12
6 divided by 1.5 is 4. When the base is the same, and you're dividing, you subtract the exponents. They both have a base of 10, so 8-(-4) gives you 12. So, it would be 10^12.
Find The surface area of the prism enter your answer in the box someone please help!
Answer:
[tex]252 \: {m}^{2} [/tex]
Step-by-step explanation:
Two Squares area:
[tex]2 \times (6 \times 3) = 36 \: {m}^{2} [/tex]
1 Square perimeter:
[tex]2 \times (6 + 3) = 18 \: m[/tex]
Lateral area:
[tex](18 \times 12) = 216 \: {m}^{2} [/tex]
Total area:
[tex](216 + 36) \: = 252 \: {m}^{2} [/tex]
The surface area of the prism is 252 m².
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given is rectangular prism with dimensions, 12m × 6m × 3m, we need to find its surface area,
The surface area of a rectangular prism with dimensions, L × W × H, is given by = 2(LH+LW+WH)
Therefore,
SA = 2(12×3+12×6+6×3)
= 2(36+72+18)
= 2 × 126
= 252 m²
Hence, the surface area of the prism is 252 m².
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Mrs. Henry bought books during the summer. She bought 5 books for $12.00, 6 books for $10.00, and 4 books for $8.00. What is the average (mean) amount she spent for each book?Answer options with 5 optionsA.$4.00 per bookB.$3.25 per bookC.$3.00 per bookD.$2.75 per bookE.$2.00 per book
Answer: $60.00 (5 books), $60.00 (6 books), $32.00 (4 books) is the data set. The answer, when used in a calculator, is 3.3777777777. From this result, I would say B or $3.25 per book.
The correct answer is option B) $2.75.
How to find mean?
The mean formula is given as the average of all the observations. It is expressed as Mean = {Sum of Observation} ÷ {Total numbers of Observations}.
By applying the formula
= 40/15
≅ 2.75
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.
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What number is 86% of 50?
Answer:
43
Step-by-step explanation:
Answer:
Answer is 43.
Step-by-step explanation:
First off the "of" in the question implies that the two are multiplying but before you do that your expected to get 86 percent into decimal form which is .86 once that is done you can multiple that by 50 giving you 43
PLEASE HELP ASAP!!
Divide.
2 1/3 ÷ 2/5
A) 9 15
B) 4 5
C) 14 15
D) 55 6
what is 5/8+96
solve
Answer:
96 5/8
Step-by-step explanation:
because 96+5/8 is 96 5/8
PLEASE HELP WILL MARK BRAINLIEST
Answer:
133/3= 147/5 =
44 29.7
44-29.7
14 pies can be made.
133/4 147/2
33.25 73.5
73.5-33.25
40 jars of apple sauce can be made
(I rounded my decimals)
Step-by-step explanation:
3x+4y=133
5x+2y=147
3x+4y=133
-10x-4y=-294
-7x=-161
x=23
3(23)+4y=133
69+4y=133
64=4y
y=16
23 pies and 16 jars of apple sauce
Use a formula to find the surface area of the cylinder . Use 3.14 for π.
Answer:
I am so sorry
Step-by-step explanation:
I dont really know what it is but I think it is 21.98 you do 7 times 3.14
Find the exact length of the third side
Answer:
c = 4.24
Step-by-step explanation:
again, you have a^2+b^2=c^2
this time, all you have to do is substitute.
3^2+3^2=c^2
9+9=c^2
18=c^2
take the square root of both sides, you get c=(18)^1/2 or about 4.24.
A circle has the equation (x+11)2+(y+6)2=324.
What are the coordinates of the center and the length of the radius?
The coordinates of the center are (11,6), and the length of the radius is 18 units.
The coordinates of the center are (−11,−6), and the length of the radius is 324 units.
The coordinates of the center are (11,6), and the length of the radius is 324 units.
The coordinates of the center are (−11,−6), and the length of the radius is 18 units.
Answer:
The centre is (-11, -6) and the radius = 18 units.
(Option 4).
Step-by-step explanation:
If we compare this with the standard form
(x - h)^2 + (y - k)^2 = r^2
- we see that the center is (-11, -6) and the radius id √324.
The center of the circle is at (−11, −6) and the radius is 18 units.
Explanation:The equation of a circle in general form is (x - h)^2 + (y - k)^2 = r^2 where (h, k) are the coordinates of the center of the circle and r is the radius. Given the equation (x + 11)^2 + (y + 6)^2 = 324, we can see that it is in a similar form but with a positive sign in the brackets. This implies that the center of the circle is at (−11, −6) and that the radius is the square root of 324, which is 18 units.
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i need help on this please
Answer:
615,079
Step-by-step explanation:
I hope this is correct! This is the one I can asnwer! I hope this helps. Also if you use The desmos scientific calculator it may help you with a lot of questions you may have!
PLEASE HELPPP!!!!!
Write the first four terms of the recursive sequence: If a1=8 and an=a(n-1) -6
Is the recursive sequence arithmetic or geometric? Explain.
Answer:
8, 2, -4, -10.
Step-by-step explanation:
Each term (except the first one) is obtained by subtracting 6 from the previous one - that is what an = a(n -1) -6 means.
First term = a1 = 8 , so the second term = 8-6 = 2.
The first 4 terms are 8, 2, -4, -10.
This is an arithmetic sequence as there is a common difference of -6.
Help please I need answers for all of questions of my math help please
1. decimal point 2. decimal 3. hundredth 4. 0.4 5. 1, 0.03 6. 80/100 0.80 7. 0.50 50/100 8. 60/100 0.60 the rest are easy
ms knight wants to throw a pizza party for all the 7th graders.in a random sample 13 ou of 20 7th graders preferred peperonie pizza the other 7 preferred cheeze. Based on the data out of 400 total 7th graders aproaxmently how many prefer peperoni
To estimate how many out of 400 seventh graders prefer pepperoni based on the sample, a proportion is used, resulting in approximately 260 students preferring pepperoni pizza.
Explanation:Ms. Knight wants to throw a pizza party for the seventh graders, and in a random sample, 13 out of 20 seventh graders preferred pepperoni pizza. To estimate how many out of 400 seventh graders would prefer pepperoni, we use a proportion. The proportion of students who prefer pepperoni in the sample is 13/20. To find the number who would prefer pepperoni out of 400, we set up a cross-multiplication:
13/20 = x/400Solving this equation for x (the number of 7th graders who prefer pepperoni out of 400) gives us:
20x = 13 * 40020x = 5200x = 5200 / 20x = 260So, approximately 260 seventh graders would prefer pepperoni pizza out of 400 based on the sample data.
Don has an album that holds 500 stamps. Each page of the album holds 5 stamps. If 13% of
the album is empty, how many pages are filled with stamps?
pages are filled with stamps?
Answer:
87 pages are filled with stamps.
Step-by-step explanation:
We need to know how many stamps are in the album. Since it can hold 500 but is missing 13%, we can say that it is 87% (100-13=87) complete.
500*0.87=435
The album has 435 stamps.
A page can hold 5 stamps. Thus, 435/5=87
To find out how many stamp album pages are filled, calculate the total number of album pages, determine the number of empty stamps at 13%, and subtract the number of empty pages from the total to get 87 filled pages.
The mathematics problem presented asks how many pages of a stamp album are filled with stamps if 13% of the album is empty. To solve this, we need to calculate the total number of stamps that can fit in the album and determine how many stamps equivalent to 13% of the album are missing. With 500 stamps able to fit in the album and each page holding 5 stamps, we can first find out the total number of pages in the album.
Total number of pages = Total stamps / Stamps per page = 500 / 5 = 100 pages
Next, we calculate 13% of the total number of stamps to find out how many stamps are missing:
Number of empty stamps = Total stamps [tex]\times[/tex] 0.13 = 500 [tex]\times[/tex] 0.13 = 65 stamps
Now, we find out the number of empty pages:
Number of empty pages = Empty stamps / Stamps per page = 65 / 5 = 13 pages
Thus, the number of filled pages:
Total pages - Empty pages = 100 - 13 = 87 filled pages.
in the diagram below chords AB and CD intersects at E. If mAC=72 and mAEC=58. how many degrees are in mDB?
Answer:
44°
Step-by-step explanation:
∠ DEB and ∠ AEC are vertical and congruent
Thus ∠ DEB = 58°
The measure of the chord- chord angle DEB is half the sum of the measures of the arcs intersected by the angle and its vertical angle, that is
[tex]\frac{1}{2}[/tex] (DB + AC ) = 58° ( multiply both sides by 2 )
DB + AC = 116°, that is
DB + 72° = 116° ( subtract 72° from both sides )
DB = 44°
Answer:
Hey, and also, The Answer to Your question is 44 Degrees.
Step-by-step explanation:
∠ DEB and ∠ AEC are vertical and congruent
Thus ∠ DEB = 58°
The measure of the chord- chord angle DEB is half the sum of the measures of the arcs intersected by the angle and its vertical angle, that is
(DB + AC ) = 58° ( multiply both sides by 2 )
DB + AC = 116°, that is
DB + 72° = 116° ( subtract 72° from both sides )
DB = 44°...... Stay safe Guys.
2(b+c)
5(7h+3m)
e(f+g)
The diagram represents the factorization of x2 - 9x + 18. It is partially completed.
Х
-3
х
x2
?
-6
?
18
Which two terms are missing from the diagram?
-x and 8x
-2x and -7x
-3x and -6x
-4x and -5x
Answer:
c would be your answer :-)
Step-by-step explanation:
Trust me bro I just know things
Answer:
The answer C
Step-by-step explanation:
what is -3 - 15. can you please solve this for me.
Answer:
-18
Step-by-step explanation:
-3-15 = -3 + -15
= -18
Answer:
-18
the universe hates me
Craig bought 96 rolls or toilet paper for 48 dollars. What is the cost of a single
roll of toilet paper?
dollars
Check
Explain
HELP ME PLEASE
Final answer:
The cost of a single roll of toilet paper is $0.50, calculated by dividing the total cost of $48 by the number of rolls which is 96.
Explanation:
To find the cost of a single roll of toilet paper, we need to divide the total cost by the number of rolls. Craig bought 96 rolls of toilet paper for $48.
To calculate the cost per roll, we use the formula:
Cost per roll = Total cost / Number of rolls
So,
Cost per roll = $48 / 96 rolls
Cost per roll = $0.50 per roll
Therefore, the cost of a single roll of toilet paper is $0.50.
Solve the equation
(16+ 12x) = 28 by first using the distributive property.
1
The equivalent equation is found by distributing the
to get
4
The first step is
The second step is
The answer is
Answer: 1
Step-by-step explanation:
(16+12x)=28
Since 4is a common factor in both terms we take out 4
4(4+3x)=28
Now take 4 to the other side
4+3x = 28/4 = 7
Similarly
3x = 7-4 =3
We end up with 3x=3
So X = 1
Is 5.39 a repeating decimal
Answer:
No.
Step-by-step explanation:
Unless you see a bar over one or more of the numbers (specifically 9 or 39), then it is not a repeating decimal, but rather a terminated decimal.
If there is a bar over the number, it means that specific set of numbers are repeated. Another way to tell if it is repeated is if there are dots at the end.
~
PLZ HELP ME WILL GIVE BRAINLIST TO THE QUICKEST AND RIGHT ANSWER
A function is represented by the graph.
Complete the statement by selecting from the drop-down menu.
The y-intercept of the function y=2x−2 is the y-intercept of the function represented in the graph.
Graph of a line passing through the point begin ordered pair 0 comma negative 2 end ordered pair and the point begin ordered pair 2 comma 1 end ordered pair.
the y int of the function y = -2x + 8 is 8 or (0,8) because in y = mx + b form, the b represents the y int.
the graph...the y int is where the line crosses the y axis...and that is (0,8) or 8
Zak drank 21 cups of water every week. How many ounces of water did Zak
drink every week?
Answer:
1 cup = 8 ounces
21 x 8 = 168
168 ounces
Step-by-step explanation:
Answer:
168
Step-by-step explanation:
1 cup equals 8 fluid ounces
Just multiply 21 by 8 and you get your answer