Answer:
P(3 , 0)
Step-by-step explanation:
(x₁, y₁) = A(-3,-3) ;(x₂ , y₂) B(5, 1)
m : n = 3 : 1
[tex]P \left( \dfrac{mx_{2}+nx_1}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\P \left (\dfrac{5*3+(-3)*1}{3+1},\dfrac{3*1+1*(-3)}{3+1} \right)\\\\\\=P \left(\dfrac{15-3}{4},\dfrac{3-3}{4} \right)\\\\\\= P \left(\dfrac{12}{4},\dfrac{0}{4} \right)\\\\\\= P\left(3 , 0 \right)[/tex]
Petra invests $10,800. After 4 years she has earned $3240 in interest.
At what annual rate of interest did she invest her money?
Answer:
Rate =interest*100/principal*time
Rate = 7.5%
Step-by-step explanation:
At 7.5 % annual rate of interest did she invest her money.
What is rate of interest?The percentage usually on an annual basis that is paid by the borrower to the lender for a loan of money is called rate of interest.
Given
Principal P = $10800
Time t = 4 years
I = 3240
Interest = [tex]\frac{P\times r \times t}{100}[/tex]
[tex]3240 = \frac{10800\times r \times 4}{100}[/tex]
[tex]r= \frac{3240\times 100}{10800\times 4}[/tex]
r = 7.5 %
At 7.5 % annual rate of interest did she invest her money.
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School for Jan started at 9.00 a.m. and finishes at 3.00 p.m. If Jan knew she was 2∕3
of the way through the school day, what time was it then? Put in either am or pm
Answer:
it's 1 pm
you have to count the hours between 9 am and 3 pm = 6 then you divide 6 by 3 = 2 then 2*2= 4
hcf of x^2 - y^2 + 4y - 4
Answer:
[tex](x - y + 2) \times (x + y - 2)[/tex]
Step-by-step explanation:
[tex] {x}^{2} - {y}^{2} + 4y - 4[/tex]
➡️ [tex] {x}^{2} - ( {y}^{2} - 4y + 4)[/tex]
➡️ [tex] {x}^{2} - (y - 2 {)}^{2} [/tex]
➡️ [tex](x - (y - 2)) \times (x + (y - 2))[/tex]
➡️ [tex](x - y + 2) \times (x + y - 2)[/tex]
Construct 45° by using set square
Place 45
∘
set-square and make an angle of 45
∘
by drawing the rays BD and BC
Arrange 7/ 10 , 3/5 , 17/ 20 , 11/ 15 in descending order
Answer:
17/20 , 11/15 , 7/10 , 3/5
Help me pls i have to finish my homework i have more questions to post too
Step-by-step explanation:
16)(a²-b)÷6
subtitute a and b above:
={(5)²-1}÷6
=(25-1)÷6
=24÷6
=4
18)y-(4-x-y÷2)
subtitute x and y above:
=2-(4-3-2÷2)
=2-(4-3-1)
=2-(4-4)
=2-0
=2
Note:if you need to ask any question please let me know.
i need help im timed plzz right anwsers only
Answer:
the second option is correct
if (x+30°) and (180°-2x) are vertically opposite angles . Find the value of x .
Answer:
50
Step-by-step explanation:
x + 30 = 180 - 2x [vertically opposite angles]
x = 180 - 30 - 2x
x = 150 - 2x
x + 2x = 150
3x = 150
x = 150/3
x = 50
Please help I only have 15 minutes to complete this last one
Answer:
the slope of MN= -5-1/3-(-6)=-2/3
two lines are parallel>> slopes are equal
equation of line = (y-y'=m(x-x'))
therefore, y-1= -2/3(x-6)
y-1 = -2/3x + 4
y+2/3x=5
A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder
Answer:
C. 640π cubic units
Karma spends two fifth hours every day learning music.how maby hours does she spends learning music in a week?
Answer:
17.5
Step-by-step explanation:
Together, Sala and Terry saved $10.00. Sala. saved D dollars. Write an expression for the amount Terry saved.
Let Terry Saved be T dollars .
The Expression will be
[tex]\\ \rm\longmapsto Sala+Terry=\$10.00[/tex]
[tex]\\ \rm\longmapsto D+T=\$10.00[/tex]
Answer:
T = 10 - S
Step-by-step explanation:
The only useful information is that they saved $10 together. We are just going to add the money Sala and Terry saved to equal 10.
S + T = 10
They want an expression for how much Terry saved so we can solve for T.
T = 10 - S
Best of Luck!
Write as an algebraic expression five times the sum of a number and 4
Answer:
5(x+4)
Step-by-step explanation:
It's basically asking for the sum of a number and four to be multiplied by 5. Since the sum is made up of the unknown number and four, you'd put four and the unknown number in parenthesis while putting five on the outside, making it 5(x+4).
7−2t≤21 write the solution in
Answer:
t≥-7
Step-by-step explanation:
7−2t≤21
Subtract 7 from each side
7-7−2t≤21-7
−2t≤14
Divide each side by -2, remember to flip the inequality
-2t/-2 ≥14/-2
t≥-7
20 Points!! Please help me with these, I need them done SOON!! Thanks <3
Answer:
f(x) = ∣x∣
A.)
f(x) = 3√x
E.)
Fist one is A and second is E
Step-by-step explanation:
Have a nice day! :-)
3 Five friends shared 8 1/3 pounds of apples equally. How many pounds of apples did each person get?
Answer:
a fruit seller buys 712 fruits ,of which 3/4 are apples. of all apples that he bought 1/3 were found to be rotten. if he sold all the good apples at Rs.5 1/4 each.
Solve for p.
8 − 4(2p − 2) = 7 + p + 9
p =
p = 0
Step-by-step explanation:[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]
➡️ [tex]8 - 8p + 8 = 16 + p[/tex]
➡️ [tex]16 - 8p = 16 + p[/tex]
➡️ [tex] - 8p = p[/tex]
➡️ [tex] - 8p - p = 0[/tex]
➡️ [tex] - 9p = 0[/tex]
➡️ [tex]p = 0[/tex]
Factorize:a^2+2ab+b^2-c^2
Answer:
(a + b)^2 — c^2
(a+b+c) ( a + b — c )
A company needs two loads of sand to make an indoor beach area for an employee picnic. One load of sand weighs 5 tons and the second load weighs 7,000 pounds. What is the total weight of the sand, in pounds, used for the beach area? *college mathematics*
Answer:
17000 pounds
Step-by-step explanation:
5 tons = 1 load
7000 pounds = 2 load
5*2000 = 10000 pounds
10000 + 7000 = 17000 pounds
raise the quotient of y and 5 to the 2nd power
Answer:
I'm guessing y is numerator and 5 is denominator. so y^2/25
Step-by-step explanation:
so if you have the fraction y/5 and you need to square it or raise to the second power you get (y/5)^2. now using the properties of exponents when you get a fraction and need to raise it to a power you square the denominator and numerator which gets you y^2/25. now let's check if it works we can use 5 for y so (5/5)^2 is equal to 25/25 = 1. or (10/5)^2 which is 2^2 = 4. or 100/25 which is 4. so the equation works for the expression.
please help i don’t really understand.
Answer:
It shows that RT and PQ are the same because the are at one point and they are vertically opposite angles
Which expression has the same value as -5, + (-4)?
Submit Answer
0 -5 8 3 - 4 2 3
O 4; -(-5%)
O 5+(-4)
O-52-(-41)
2. When a number n is subtracted from 18
and the difference is divided by n, the
result is 2. What is the value of n?
(A) 4
(B) 6
(C) 8
(D) 10
(E) 14
Answer:
e) 14
Step-by-step explanation:
(18-n)/2 = 2
18-n = 4
-n = -14
n = 14
The value of n when n is subtracted from 18 and the difference is divided by n, the result is 2 is 6.
What is Algebra?The representation of mathematical statements as solutions to problems is the focus of the branch of mathematics known as algebra. Mathematical operations like addition, subtraction, multiplication, and division are combined with variables like x, y, and z to produce a meaningful mathematical statement.
Given:
When a number n is subtracted from 18
=(18- n)
and, the difference is divided by n
=(18 - n)/n
so, result is 2
(18 - n)/n = 2
18 - n = 2n
3n = 18
n= 18/3
n= 6
Hence, the value of n is 6.
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Can someone plz help me?
Answer:
c
Step-by-step explanation:
[tex] \frac{1}{6} mile = 1hour \\ \frac{1}{5} mile = xhour \\ \frac{1}{6} x = \frac{1}{5} \\ x = \frac{1}{6} \div \frac{1}{5} \\ \frac{1 }{6} \times \frac{5}{1} = \frac{6}{5} [/tex]
pls mark brainliest
tell whether the two fractions form a proportion 3/4 and 16/20
Answer:
check by cross multiplication
3*20 = 4*14
60 ≠ 56
no does not form a proportion
Step-by-step explanation:
What is the volume of a crystal in the shape of a pyramid with a base (b) measuring 4 cm and a height (h) of 5 cm?
Answer:
2 (L+B)
2 (4+5)CM
2×9
18cm
The diameter of a regulation soccer ball is about 85 inches. This number was graphed on a number line.
g the graph of the diameter of the ball?
Answer:
Point D
8 3/5 = 40+3= 43
43÷5 = 8,6
........
Erik bought a mattress that was marked down 70% from an original price of $500. If the sales tax in Oak Grove is 8%, what was the total cost of the mattress?
Answer:
Btw the result are this: 70% = 0.7500 = 0.78% = 0.08 In Oak Grove
Step-by-step explanation:
The total cost of the mattress is $162 after markdown 70% and sales tax 8%
Given :
Erik bought a mattress that was marked down 70% from an original price of $500
Original price is 500 dollars
marked down that is discount percentage is 70%
Lets find the discount amount using original price
markdown percentage times original price
[tex]discount = \frac{70}{100} \cdot 500=350[/tex]
cost of mattress after discount is 500-350= 150 dollars
sales tax is 8%
now we find the tax amount for 150 dollars
[tex]tax=150 \cdot \frac{8}{100} \\tax = 12[/tex]
tax is 12 dollars
the total cost of the mattress= cost of mattress +tax
the total cost of the mattress=150+12=162
the total cost of the mattress is $162
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Find FH? this is 10th-grade geometry
Answer:
7
plss mark me brainlestt
Step-by-step explanation:
22-15=7
A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment FH is 7 units.
What are a line and line segment?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
A line segment is also a line but a line with finite length and fixed endpoints.
Given that the length of the line segment HG is 15 units and the length of line segment FG is 22 units.
Since the line segment, FG is made from FH and HG. Therefore, we can write,
FG = FH + HG
22 units = FH + 15 units
FH = 22 units - 15 units
FH = 7 units
Hence, the length of the line segment FH is 7 units.
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what is the value 36x-8y to the second power when x=3 and y= -6?
Answer:
If they do , then the values of y yo does not satisfy R ' = 0 , : ' y is ... be an equation of the second degree , - R ' = ( - 3 y ' + 8y - 5y ) x + 2y + + ...
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Recent problems solved by 'mrduffner' - See tutors' answers!
3. Again combine. +3x+%2B+8=+-x+-+8+ 4. Isolate the variable. +2x+=+-16+ 5. Divide & solve. x+=+-8 ... Y to the second power is just that, y%5E2 .
IT IS ONE