Answer:
$11.5
Step-by-step explanation:
Subtract 30 from 64.50 to get rid of the cost of shirts. (3 shirts costing 10 dollars) to get 34.50. DIvide 34.50 by 3 for the number of shorts. Your final answer is 11.5
Alan invests a total of $16,500 in three different ways. He invests one part in a mutual fund which in the first year has a return of 11%. He invests the second part in a government bond at 7% per year. The third part he puts in the bank at 5% per year. He invests twice as much in the mutual fund as in the bank. The first year Alan's investments bring a total return of $1,425. How much did he invest in each way?
Answer:
>> $9000 invested in mutual fund
>> $3000 invested in government bond
>> $4500 put in the bank
Step-by-step explanation:
Let us denote the money invested in each case by a letter. Thus;
a = the money that he invested in a mutual fund
b = the money that he invested in a government bond
c = the money that he put in the bank
We are told that he invested a total of $16,500. Thus;
a + b + c = 16500 - - - (eq 1)
He invested twice as much in the mutual fund as he did in the bank. Thus;
a = 2c - - - (eq 2)
From the percentage given and the return of $1,425 from the first year investments, we have;
0.11a + 0.07b + 0.05c = 1425 - - - (eq 3)
Let's put 2c for a in eq (1) and eq (3)
Thus;
2c + b + c = 16500
b + 3c = 16500 - - - (eq 4)
Also,
0.11(2c) + 0.07b + 0.05c = 1425
0.07b + 0.27c = 1425 - - - (eq 5)
From eq 4, b = 16500 - 3c
Putting this in eq(5) gives;
0.07(16500 - 3c) + 0.27c = 1425
1155 - 0.21c + 0.27c = 1425
0.06c = 1425 - 1155
0.06c = 270
c = 270/0.06
c = $4500
b = 16500 - 3(4500)
b = 16500 - 13500
b = $3000
Since a = 2c, then;
a = 2(4500)
a = $9000
Please help me...
Worth 13 points. anyone who is good at angles
Answer:
93°
Step-by-step explanation:
360 - 244 - 23 = b
b = 93
Answer:
224-23= 201
So it an obtuse angle it over 90 degrees
Step-by-step explanation:
A bus travels at a rate of 55 miles per hour. The distance between Chicago and San Francisco is 2130 miles. How long would it take for the bus to travel from Chicago to San Francisco?
Answer:
About 38.72 hours
Step-by-step explanation:
Since the bus goes 55 miles per HOUR. You have to divide the total distance by the mph. Therefore, you would do 2130/55. So, the answer would be about 38.72 hrs. Hope this helped!
The bus travel from Chicago to San Francisco in 38.h2 hrs
It is given that Rate = 55 miles/hr
Distance = 2130 miles
We have to find the time
What is the formula for Distance?
Distance = Rate × Time
2130=55×t
38.72=t
Therefore 38.72 hrs is taken by the bus to travel from Chicago to Francisco
To learn more about distance problems click here : https://brainly.com/question/23774048
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A small painting has an area of 400 cm2. The length is 4 more than 2 times the width. Find the dimensions of the painting. Solve by completing the square. Round answers to the nearest tenth of a centimeter.
PLEASE HELP! I WILL MARK AS BRAINLIEST!
400 = 8x * x
400 = 8x^2
400 / 8 = x^2
root/50 = x
7.1cm = x
1. Simplify (45) - (+14) .
Step-by-step explanation:
45 - ( +14 )
= 45 - 14
= 31
Hope it helps
which inequality is graphed below?
Ben earned $ 400 mowing lawns this month. Of his earnings, he plans to spend 18% repairing
lawn equipment, deposit 20% in his savings, and use 35% for clothes. He will spend the rest.
How much will Ben have left to spend Show your work. help ill mark brainlessly
Answer:
K 110
Step-by-step explanation:
Find the amount to be spent for each item/service
18% of $400= $72
20% of $400= $80
35% of $400= $140
Now, add all his expenditures and subtract it from his income
$400 - ($72+$80+$140) = $400 - $290 = $110
help answer both plz!
Answer:
3.6666 (I didn't round)
Repeating decimal
Step-by-step explanation:
We know that
2/3
is the same as
2÷3
Therefore:
3 2/3 = 3+(2÷3) = 3 + 0.6666 =3.6666
A repeating decimal is one that keeps going and repeats a pattern. This is decimal keeps going and repeats a pattern so it is a repeating decimal.
A terminating decimal is one that terminates or ends. This decimal does not terminate or end. It keeps going.
Hope this helped.
1.
a.
A cookie recipe uses 3 cups of flour to make 15 cookies. How many cookies can you make
with this recipe with 4 cups of flour? (Assume you have enough of the other ingredients.)
b.
A teacher uses 36 centimeters of tape to hang up 9 student projects. At that rate, how
much tape would the teacher need to hang up 10 student projects?
Answer:20 cookies
Step-by-step explanation:
HELPPPPP !!!!!!!! PLSSSS AWNSERRR!! i'm not looking for "X"! Unit 7: Polygons & Quadrilaterals Homework 3: Rectangles i'm looking for the answers of 11, 12, 13, 14.
Answer:
11) 5x + 8 = 7x - 16
24 = 2x
x = 12
7(12) - 16 = 68
90 - 68
m<GJK = 22
12) 4x + 15 + 13x + 7 = 90
17x + 22 = 90
17x = 68
x = 4
4(4) + 15 = 31
90 + 31 + ADE = 180
m<ADE = 59
13) 5x - 12 + 2x - 3 = 90
7x - 15 = 90
7x = 105
x = 15
5(15) - 12 = 63
VWZ + 63 = 90
m<VWZ = 27
14) 9x + 3 = 14x - 27
30 = 5x
x = 6
9(6) + 3 = 57
14(6) - 27 =57
90 - 57 = 33
33 + 33 + DHG = 180
m<DHG = 114
Measure of angles of polygons and quadrilaterals:
1) ∠GJK = 22°
2) ∠ADE = 59°
3) ∠VWZ = 27°
4) ∠DHG = 114°
11)
5x + 8 = 7x - 16
24 = 2x
x = 12
Now substitute the value of x,
7(12) - 16 = 68
90 - 68
∠GJK = 22°
12)
4x + 15 + 13x + 7 = 90
17x + 22 = 90
17x = 68
x = 4
Now substitute the value of x,
4(4) + 15 = 31
90 + 31 + ADE = 180
∠ADE = 59°
13)
5x - 12 + 2x - 3 = 90
7x - 15 = 90
7x = 105
x = 15
Now substitute the value of x,
5(15) - 12 = 63
∠VWZ + 63 = 90
∠VWZ = 27°
14)
9x + 3 = 14x - 27
30 = 5x
x = 6
Now substitute the value of x,
9(6) + 3 = 57
14(6) - 27 =57
90 - 57 = 33
33 + 33 + DHG = 180
∠DHG = 114°
Know more about quadrilaterals,
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choose equation that will be used to solve this problem
Hugo sold blank tattoos
Answer:
It looks like the equataion is 2x(hugo)-10+y=137
Step-by-step explanation:
Hugo sold twice as many as italia but fewer 10.
The angle which is less than 90 degrees is called?
A. Acute angle
B. Obtuse angle
C. Right angle
D. Straight angle
Answer:
An acute angle is an angle less than 90°
Answer:
A. Acute angle
Step-by-step explanation:
The angle which is less than 90 degrees is known as the acute angle.
plssssssssssss help I need to pass
Answer:
x = 24
Step-by-step explanation:
We can tell by two ways: We already know the value of one of the angles; 66 degrees. We can tell the value of the other one, because it has the right angle symbol, meaning it's 90 degrees. Remember that every triangle's degrees always add up to 180. We can find x by adding 90 and 66 together, which results in 156. Subtract 156 from 180 and you get 24. Therefore, the value of x is 24 degrees.
Answer:
24 degrees
Step-by-step explanation:
The total of a triangle is 180 degrees and a right angle is 90 degrees ( you can tell it's a right angle if it forms the shape of a straight capital "L" or if it has the square in that corner).
So to simplify this , add 90 and 66 which equals 156.
Now we subtract 156 from 180 ----> 180 - 156 = 24
So 24 degrees is your answer.
Name the diameter for the circle
Answer:
DH
Step-by-step explanation:
Brainly plssss someone!!!!!!
Answer:
15
Step-by-step explanation:
Answer:
C. 15Step-by-step explanation:
As per intersecting chords theorem, we have following:
HA*HC = HB*HD3x*8 = 12*1024x = 120x = 120/24x = 5HA = 3x = 3*5 = 15Correct choice is C
Plz, answer this question plz!
Answer:
third option down I'm 99% sure
6 people share equally a restaurant bill of £92·88. How much should each person pay?
Answer:
£15.48
Step-by-step explanation:
just divide 92.88 by 6 to find how much they should each pay
92.88÷6= 15.48
hope this helps chu <3
Answer = 15.48
Step-by-step explanation:
92.88:6 = 15,48
To prove it 15,48×6 = 92,88
Pedro has a budget of $50 to spend on his mom for her birthday. He bought her a necklace for $21. He also wants to buy her new scarves that are on sale for $3 each. What is the most number of scarves he can buy her for her birthday?
Answer:
9 scarfs
Step-by-step explanation:
Answer:
9 scarves
Step-by-step explanation:
50 - 21 = 29
29/3 = 9 R2
So that is 9 scarves because you can't buy a fraction off a scarf
There are 300 pets in the pet store. 25% of the pets are dogs. How many dogs are in the pet store?
Step-by-step explanation: If there are 300 pets in the pet store and 25% of the pets are dogs then there is 225. How did I get this I subtract ... Hope this is right...
Estimate to the the place
Answer:
16.8
Step-by-step explanation:
A family wants to enclose a rectangular playground for their toddler with an area of 24 square yards. The length of the garden is to be 5 yards more than its width. What should the dimensions of the playground be?
Answer:
3 × 8 yards
Explanation:
possible lengths & widths for the given area of 24 square yards:
1 and 24, 2 and 12, 3 and 8, 4 and 6
of these four options, only 3 and 8 fit the requirement of the length of the garden being 5 yards more than the width of the garden. thus, the answer is 3 × 8 yards.
i hope this helps! :D
Suppose the are 50 eighth-graders in one school in Boone. If 1/10 of the eighth graders are home with the flu and 2/3 of the remaining school students are on a field trip, how many are in school?
Answer:
15
Step-by-step explanation:
1/10 of 50 = 5
50 -5 = 45
2/3 of 45 =30
45-30=15
A veterinarian predicted that the weight of a newborn puppy would be 1.5 pounds. When the dog gave birth, the newborn weighed 2 pounds. What is the zookeepers percent error?
Answer:
i wanna be christen
Step-by-step explanation:
howww
I really need help please!
As we know that angle of semi circle is 180°.
Here,
FLG = 40°
GLH = ?
HLJ = 60°
FLG + GLH + HLG = 180°
40° + GLH + 60° = 180°
GLH + 100° = 180°
GLH = 180° - 100°
GLH = 80°
Now,
FLH = 40° + 80° = 120°
[tex] \sf \: Length \: of \: an \: arc \: of \: GHF = \dfrac{ \theta}{360} \times 2 \pi \: r[/tex]
[tex] = \dfrac {120}{360} \times 2 \times \dfrac{22}{7} \times r[/tex]
[tex] = \frac{1}{3} \times \frac{44}{7} \times r[/tex]
[tex] = \frac{44}{21} \times r[/tex]
[tex] = 2.09r[/tex]
If x - 8 = -10, then find the value of 4x - 12
Answer:
60 is your answer.
Step-by-step explanation:
x - 8 = 10
add 8 to both sides,
x = 18
substitute 18 for x in the second equation:
4(18) - 12 = 72 - 12 = 60
Please lmk if you have questions.
20
5. A cook needs 10 pounds of flour. He wants to spend the least amount of money. A 2-
pound bag costs $1.59 and a 5-pound bag costs $2.89, which should he buy in order to spend
less money? *
Answer:
He should buy two of the 5-pound bag.
Step-by-step explanation:
The cook needs 10 pounds of flour.
He wants to spend the least amount of money.
First option is a 5-pound bag for $2.89 each.
He can get 2 of the 5-pound bag which equals 10 pounds of flour for 2 x $2.89 = $5.78
Second option is a 2-pound bag for $1.59 each.
He can get 5 of the 2-pound bag which equals 10 pounds of flour for 5 x $1.59 = $7.95.
Second option is $2.17 costlier than the first option.
So, he should go for 2 of the 5-pound bag in order to spend the least amount of money while shopping for 10 pounds of flour.
help me with this math equation.
Please help me. Find mQ, mR, and mS please
Step-by-step explanation:
since they are angles and there are three of them. Assume that they are part of a triangle. That is all I can do until you give more information about the problem. lmk down in the comments on the side length or whatever the problems asks for.
have a good day :)
does anyone know this one
Answer:
x + 3y = 14
-4 + 3y = 14
+4 +4
3y = 18
y = 6
Wayne answered 58 out of 65 questions on a test correct. What was the percentage he answered incorrectly?
A)91%
B)89%
C)11%
D)9%
Answer:
To find the percentage, take the answers right divided by the total. 58/65 is 89 percent
Answer:
C) 11%
Step-by-step explanation:
Subtract 65-58 , then divide that answer by 65(number of questions). Then multiply by 100 and round