Answer:
1. -2x + 6y - 4
2. -6y - 1
3. -10x - 2y - 7
4. -2x - 6
5. 2x - 12y - 4
Step-by-step explanation:
1. 2x+3y-6-4x+3y+2
(2x-4x) + (3y+3y) + (-6+2)
-2x + 6y - 4
2. 4x-3y-3-4x-3y+2
(4x-4x) + (-3y-3y) + (-3+2)
-6y - 1
3. -8x+2y-8-2x-4y+1
(-8x-2x) + (2y-4y) + (-8+1)
-10x - 2y - 7
4. -X+Y-3-X-Y-3
(-x-x) + (y-y) + (-3-3)
-2x - 6
5. 4x-8y-6-2x+4y+2
(4x-2x) + (-8y-4x) + (-6+2)
2x - 12y - 4
Jane invested her savings in two investment funds. The amount she invested in Fund A was $6000 less than the amount she invested in Fund B. Fund A returned a 8% profit and Fund B returned a 2% profit. How much did she invest in Fund B, if the total profit from the two funds together was $1220 ?
Answer:
Jane invested $37,000 in Fund B.
Step-by-step explanation:
Let;
IA = Amount invested in Fund A = $6,000
IB = Amount invested in Fund B = ?
PA = Amount of profit from Fund A = IA * 8% = $6,000 * 8% = $480
PB = Amount of profit from Fund B = IB * 2%
Therefore, we have:
Total profit = PA + PB = $1220 ........................ (1)
Substitute the relevant values into equation (1) and solve for IB, we have:
$480 + (IB * 2%) = $1220
IB * 2% = $1220 - $480
IB * 2% = 740
IB = 740 / 2%
IB = $37,000
Therefor, Jane invested $37,000 in Fund B.
There are 15 people in a room. Each person ate 2/3 of a pizza. There was no pizza remaining. How many pizzas were in the room?
Answer:
10 i think
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
15 x 2 = 30
30/3 = 10
the graph is of a function in the form p(t)=a times b^t. what is the function?
9514 1404 393
Answer:
p(t) = 5×2^t
Step-by-step explanation:
You are given a couple of points, so can find the values of 'a' and 'b' in the function.
p(0) = 5
p(0) = a×b^0 = a
a = 5
__
p(1) = 10
p(1) = 5×b^1
10 = 5b
2 = b . . . . divide by 5
__
Now you know the function is ...
p(t) = 5×2^t
can you plz answer this for me its graded
Answer:
Kaylynn=$270
Amanda=$250
Step-by-step explanation:
Kaylynn=8.25x32.5=268.125 but since its estimated we round it up to 270.
Amanda=8.75x28.5=249.375 but since its estimated we round up to 250.
Dan deposited $700 in a savings account. At the end of 3 year, he had earned $115.50 in simple interest. What interest rate did he receive?
Answer:
17
Step-by-step explanation:
but not for sure
Approximately how long will it take for $700 to double if it is invested at 4% annual
interest, compounded continuously?
Round your final answer to the nearest whole year and do not label units.
Answer: 17 years
Step-by-step explanation:
Exponential equation for compund amount( compunded continuously):
[tex]A=Pe^{rt}[/tex] , where P= Principal value , r= rate of interest , t= time.
Given: A= 2P
r =4%= 0.04
To find : t
Substitute all values in the formula , we get
[tex]2P=Pe^{0.04t}\\\\\Rightarrow\ 2=e^{0.04t}[/tex]
Taking natural log on both sides
[tex]\ln2=\ln e^{0.04t }\\\\\Rightarrow\ 0.693147=0.04t\\\\\Rightarrow\ t=\dfrac{ 0.693147}{0.04}\\\\\Rightarrow\ t=17.3286\approx17[/tex]
hence, it will take 17 years (approx).
❗️Help needed please ❗️
Answer:
prove it by S.S.S axiom bro
Step-by-step explanation:
statement reason
1.in triangle ADB and ADC
a. AB=AC a.given
b.BD=CD b. radii of same circle
c. AD=AD c. common side
2. ∵triangle ADB is congurent to 2. by S.S.S axiom
ADC
Answer:
AD cuts BC at I => I is the midpoint of BC => BI = CI
ΔAIB and ΔAIC have:
AB = AC
BI = CI
m∠ABC = m∠ACB ( because ΔABC is a isosceles triangle)
=> ΔAIB ≅ ΔAIC (sas)
=> m∠BAD = m∠CAD
ΔADB and ΔADC have:
m∠BAD = m∠CAD
AB = AC
AD is the common edge
=> ΔADB ≅ ΔADC (sas)
Step-by-step explanation:
what is the slope of the line through the given points:
(-2, -4,) and (1, -1)
the slope of this line is __.
Answer: slope is 1
equation: 1x-2 or x-2
I hope this is good enough:
Answer:
5
Step-by-step explanation:
-4 -1 -5
__ - ___ = ___ = 5
-2 1 -1
Jasmine makes balloon animals at community events. In 240 minutes, she uses 144 balloons to make 48 animals. How many balloons are used for each animal?
Answer:
he uses 23 balloons for every 28 events.
Help me please for gods sake :(
Answer:
Step-by-step explanation:
15:60
your ratio would be a 1:4
15 18 21 27
60 72 84 108
Answer:1560
Step-by-step explanation: i just copied the other guy
Which of the following expressions are equivalent to
-1/2?
A.1/-2
B.-1/-2
C.None of the above
Answer:
A
Step-by-step explanation:
-1 / 2 = -0.5
1/-2 = -/0.5
Answer:
b
Step-by-step explanation:
both the top and bottom are negative so there fore the whole fraction is negative.
5/6 divided by 4/6 pls answer
Answer:
5/4 or 1 1/4
i think this is right...
Robin asked her mom, "How many 3/4-cup servings are in 2/3 of a cup of soup?" Select the response that correctly displays BOTH the equation Robin could use, AND the correct answer to her question.
A
34÷23= 98 servings
B
23÷34= 89 servings
C
23×34= 612 servings
D
43×32= 126 servings
Answer:
the answer is C.
Step-by-step explanation:
It is C because you are already dividing the numbers so you are going to multiply them and your answer for the division should be the same answer on the multiplication.
Help ASAP plsssssssssssssssssssssss
Answer:
Less than 7 is the correct answer
Adjust the window so you can find all of the points of intersection for the system of equations. What are the roots of the original polynomial equation? Check all that apply. –6 0 6 –4 3 8
Answer:
Your answer would be 6, -4, and 3
Step-by-step explanation:
The roots of the original polynomial equation are 6, -4 and 3
How to determine the root of the polynomial?The polynomial equation is given as:
P(x) = (x - 6)(x + 4)(x - 3)
Set the polynomial to 0
(x - 6)(x + 4)(x - 3) = 0
Split the equation
(x - 6) = 0, (x + 4) = 0 and (x - 3) = 0
Solve for x in each split
x = 6, x = -4 and x = 3
Hence, the roots of the original polynomial equation are 6, -4 and 3
Read more about polynomial equation at:
https://brainly.com/question/2833285
#SPJ2
Fifty minus two plus the quantity three divided by six
Answer:
48.5
Step-by-step explanation:
Please mark B R A I N L I E S T
Zachary has a taxable income of $70,000. How much did he pay in Medicare tax this year?
The required medicare tax paid this year is given as $1015.
Given that,
Zachary has a taxable income of $70,000. and paid 1.45 medicare tax,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Medicare tax paid = 70000 × 1.45 / 100
medicare tax paid = $1015
Thus, the required medicare tax paid this year is given as $1015.
Learn more about simplification here:
https://brainly.com/question/1369388
#SPJ5
Factor the linear expression 50x - 30 using the greatest common factor of
the terms
A. 5(10x+6)
B. 50(x-3)
C. 10(5x+3)
D. 10(5x - 3)
Answer:
The answer is D.
Step-by-step explanation:
hope this helps
Mitchell swims several times per week in a lake near his home. Last summer, the average water temperature was 20 degrees Celsius. This summer, the average water temperature was 21 degrees Celsius. What was the percent of increase in the temperature?
Answer:
5% increase
Step-by-step explanation:
last Summer was 20° , this Summer is 21° so is 1° more so the question is what is the increase 1° of 20
20° is to 100% as
1° is to ?%
cross multiply
?% *20 =1*100
divide by 20 both sides
?%= 100/20 = 5
Write this ratio as a fraction in simplest form without any units.
45 days to 5 weeks
Stock in Company ABC went from $26 a share to $14 a share. What is the percent of change in the price of a share of stock in the company? Round your answer to the nearest tenths place.
Answer:
i think it could be a 12 percent change in decrease, aka 0.12
Step-by-step explanation:
:) have a good day
The figures are similar. Find the missing length.Round to the nearest thousandth
Answer:
The missing x = 0.675 m
Step-by-step explanation:
In similar triangles, the corresponding sides are proportion (means their ratios are equal)
In the given figure
∵ The two triangles are similar
∴ Their corresponding sides are proportion
∵ The sides of lengths 1.8 m and x are corresponding sides
∵ The sides of lengths 8.0 m and 3.0 are corresponding sides
∴ [tex]\frac{1.8}{x}[/tex] = [tex]\frac{8.0}{3.0}[/tex]
→ By using cross multiplication
∴ x × 8.0 = 1.8 × 3.0
∴ 8x = 5.4
→ Divide both sides by 8
∵ [tex]\frac{8x}{8}[/tex] = [tex]\frac{5.4}{8}[/tex]
∴ x = 0.675
→ No rounding because there is no digit after the thousandth digit
∴ x = 0.675 m
(c) Evaluate P P(0). What might this stand for?
Alonso brings \$21$21dollar sign, 21 to the market to buy eggs and avocados. He gets eggs that cost \$2.50$2.50dollar sign, 2, point, 50. Then, he notices that the store only sells avocados in bags of 333 for \$5$5dollar sign, 5. He wants to buy as many avocados as he can with his remaining money. Let BBB represent the number of bags of avocados that Alonso buys.
Answer:
B ≤ 3.7
Step-by-step explanation:
Total money with Alonso = $21
Cost of Eggs = $2.50
Cost of Avocados in bags of 3 = $5
Let
B = number of bags of avocados that Alonso buys.
The inequality is:
Cost of Eggs + Cost of Avocados in bags of 3 ≤ Total money with Alonso
2.50 + 5B ≤ 21
5B ≤ 21 - 2.50
5B ≤ 18.5
B ≤ 18.5/5
B ≤ 3.7
The number of bags of avocados Alonso bought can be represented by B ≤ 3.7
Answer:
1) The inequality that describes this scenario is 2.50+5B≤21
2) Alonso can afford at most 9 avocados.
Write an equation in slope-intercept form of a line that passes through the point (8,-0) and is perpendicular to the line x - 3y = 15.
y = 3x −24y = 3x −24
y = 3x + 24
y = -3x + 24
y = -3x - 24
Step-by-step explanation:
let eqn be y = mx + b.
3y = x - 15
y = 1/3x - 5
perpendicular means product of grad = -1
hence m = -3.
sun (8, 0):
8 = -3(0) + b
b = 8
therefore, equation if the line is y = -3x + 8
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
can someone PLEASE help I have a 32% in algebra 2:(
Answer:
Step-by-step explanation:
i can't see teh prob
If you have a positive x coordinate and a negative y coordinate (2,-3) and you have to reflect it across the x axis is the -3 going to stay the same or become positive? If you could answer the question fast I would be grateful.
Answer:
The -3 would become positive.
Step-by-step explanation:
When reflecting over the x or y-axis, the x-coordinate and y-coordinate will always flip to it's opposite.
2 will become -2
-3 will become 3
WILL GIVE BRAINLIEST! What is the speed, in miles per hour, of this plane? Note: This is what you would have in the table where the red As are located.
Answer: 610 miles per hour. Your welcome. :)
What is the equation of the circle with center (16, - 12) and a radius of 5
Answer:
x^2+y^2-32x+24y+375=0
Step-by-step explanation:
Equation of circle with given centre (h,k) and radius=r is
(x-h)^2+(y-k)^2=r^2
Given centre are=(16, - 12) and radius= 5
So equation of circle=
(x-16)^2+(y- -12)^2=5^2
x^2-32x+256+y^2+24y+144=25
x^2+y^2-32x+24y+375=0
Answer
Yesterday, grace drove 41.5
miles. she used
1.25 gallons of gasoline.
What is the unit rate for miles per gallon?
Answer:
33.2 mpg
Step-by-step explanation: