Answer:
20 months.
Step-by-step explanation:
Let the number of months be represented as x
Apartment A is $1200 per month and requires a security deposit of $1000.
= $1200 × x + $1000
1200x + 1000
Apartment B is $1175 per month and requires a security deposit of $1500.
= $1175 × x +$1500
1175x + 1500
Apartment A = Apartment B
1200x + 1000 = 1175x + 1500
Collect like terms
1200x - 1175x = 1500 - 1000
= 25x = 500
x = 500/25
x = 20
Therefore, the costs for both apartment A and B will be the same after 20 months.
George earns $9.50 per hour and $35.00 commission per sale, but he pays $12.00 in license fees each week. Mary earns $13.50 per hour and $11.25 for every defect she corrects, but she must pay $37.00 for tool rentals each week. The expressions below represent their individual earnings for every two-week pay period. George: 9.5h+35s−2(12) Mary: 13.5h+11.25d−2(37) where: h = the number of hours worked s = the number of sales George makes d = the number of defects Mary corrects
Answer:
23h+35s+11.25d-98Step-by-step explanation:
the question is incomplete here is the complete question
"George earns $9.50 per hour and $35.00 commission per sale, but he pays $12.00 in license fees each week. Mary earns $13.50 per hour and $11.25 for every defect she corrects, but she must pay $37.00 for tool rentals each week. The expressions below represent their individual earnings for every two-week pay period. George: 9.5h+35s−2(12) Mary: 13.5h+11.25d−2(37) where: h = the number of hours worked s = the number of sales George makes d = the number of defects Mary corrects if George and mary work the same hour each period, which expression represents their combined earning for one day earning period"
given
week pay period.
George: 9.5h+35s−2(12)
Mary: 13.5h+11.25d−2(37)
their combined earning is the sum of the individual earning
9.5h+35s−24
+13.5h+11.25d-74
23h+35s+11.25d-98
The expression is 23h+35s+11.25d-98
What is the slope of the line whose equation is y-4=5/2(x-2)
Answer:
m=5/2
Step-by-step explanation:
To find the slope, use the formula y=mx+b. m is the slope. The line with the equation y-4=5/2(x-2) gives us a slope of m=5/2. Hope it helps!
The seventh term of an arithmetic progression is equal to twice the fifth term. The sum
of the first seven terms is 84. Find the first term.
Answer:
a₁ = - 24
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₇ = 2a₅ , then
a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )
- a₁ - 2d = 0 → (1)
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
Given [tex]S_{7}[/tex] = 84 , then
[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84
3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )
2a₁ + 6d = 24 → (2)
Thus we have 2 equations
- a₁ - 2d = 0 → (1)
2a₁ + 6d = 24 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate d
- 3a₁ - 6d = 0 → (3)
Add (2) and (3) term by term to eliminate d
- a₁ = 24 ( multiply both sides by - 1 )
a₁ = - 24
5(n-3)????????????!!!!!!!!
Answer:
5n-15Step-by-step explanation:
[tex]5(n-3)[/tex]
Expand
[tex]5\times n = 5n\\\\5\times -3 =-15\\\\5n -15[/tex]
In City A, the temperature rises 7 degrees F from 8AM to 9AM. Then the temperature drops 6 degrees F from 9AM to 10AM. In City B, the temperature drops 2 degrees F from 8AM to 9AM. Then the temperature drop 4 degrees F from 9AM to 10AM. Write an expression that represents the change in temperature from 8AM to 10AM for each city. Simplify and interpret each sum.
Answer:
is there like a image of this eqation?
Step-by-step explanation:
Chris P. Bacon owns 13 animals. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal does Chris own?
it would be helpful to get the system for the equation as well.
Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $1.25, and the total was $18.20, what was the price of one hot dog
Your answer is 1.65.
(may have a hard time explaining it)
SO, there are 8 hotdogs and 4 bags of chips, 4 times 1.25 is 5, and 18.20 minus 5 is 13.20, so the chips are out of the equation. Now all we must do is divide what's left (13.20) by 8:
13.20/8=1.65
Hope this helps, if not, comment down below please!!!
Paul runs 4.8 km every morning. How many feet are in 4.8 km?
Answer:
15748 feet
Step-by-step explanation:
There are 3280.8 feet in 1 km, and if we multiply that by 4.8, we get a result of about 15748 feet. Hope it helps!
Please help! Will give BRAINLIESTwith to the first correct answer!
∠ABC and ∠DBC are complementary angles. If ∠ABC = 6x + 13 and ∠DBC = 4x − 3 what is the value of x?
Answer:
x=8
Step-by-step explanation:
PLEASE HELP ME OUT I ONLY HAVE 5 MIN TO TURN THIS IN!!!
WILL MARK BRAINLIEST!!!
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.
Equation: y-intercept of 1, 3x – y = 5
Answer:
The equation is [tex]y=-\frac{1}{3}x+1[/tex]
Step-by-step explanation:
You have the y-int, so you just need to find the slope, which is the negative reciprocal of A/B since it is perpendicular. Plugging in the numbers gets you the above equation.
BRAINLIEST ANSWER IF CORRECT *ALOT OF POINTS*
Evaluate the piecewise function for f(-3)
Answer:
C should be correct man or cuz
Step-by-step explanation:
Answer:
C: 6
Step-by-step explanation:
You are going to evaluate the part of the piecewise function that contains -3 within its boundaries. -3 is less than -1, so you will use the first equation.
-2x
-2(-3)
6
what is the sum of the 18 and 42 as a product of their GCF.
Answer:
The answer is 6
Step-by-step explanation:
Find the points of the equation 3x – 7y= 21 which intersects the x - axis and y-axis.❤THANKS YOU
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
To find the x-intercept ;
Just need to put 0((zero)) instead of y in the equation.
Let's do it....
3x - 7y = 21
3x - 7(0) = 21
3x - 0 = 21
3x = 21
Divided sides by 3
3 / 3 × x = 21 / 3
x = 7
Thus the x-intercept is 7 .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
To find the y-intercept ;
Just need to put 0((zero)) instead of x in the equation.
Let's do it....
3x - 7y = 21
3(0) - 7y = 21
0 - 7y = 21
-7y = 21
Divided sides by -7
-7 / -7 × y = 21 / -7
y = - 3
Thus the y-intercept is -3.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A farmer stores bags of seed in 4 rows. There are 4 bags
in each row. How many bags of seed are there in all?
Answer:
16 bags in all
Step-by-step explanation:
4x4=16
Answer:16
Step-by-step explanation:
4*4 or 16/4 = 16
A tree surgeon reduces the height of a beech tree by 32%.
The tree is now 4.42 m tall.
How tall was it before it was reduced?
Answer:
55
Step-by-step explanation:
4.42 x 32%
Linda watched a video. The introduction is 2 minutes, and the video is 7 minutes. What percentage of the video is the introduction? Explain.
Answer:
22.222222%
Step-by-step explanation:
all together the entire video is 9 min and 2 of those are the intro so 2/9 and that as a percent is the answer
Answer: 22.23% (Infinitely Long)
Step-by-step explanation:
9 = 100%
9 (100%) - 7 (77.78%) [Also Infinitely Long] = 2 (22.23%) [Infinitely Long]
There ya go. :)
Can someone please help me
Answer:i think 8
Step-by-step explanation:
Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees.
6. Claire buys DVDs online. Each DVD that she orders costs $15 and shipping for her order is $10.
Claire can spend no more than $100. How many DVDs can she buy?
Answer:
5 dvds
Step-by-step explanation:
15 per dvd
15x+10 and then it has to be less then 100
What is are SLOPE and EQUATION of the image?
Answer:
3
y=3x
Step-by-step explanation:
y=mx+b
y=3x+0
y=3x
Left after party and you want to split it into four pieces what fraction of the original cake is each slice? A) 1/8. B) 1/4. C) 1/2. D) 2/1
Answer:
1/4
Step-by-step explanation:
because you are spitting it into fourths
Answer:
1/8
Step-by-step explanation:
Find the mean of:
1.8,1.7,1.3,1.1,1.2,1.6,1.8
Answer:
A.1.6
Step-by-step explanation:
put them in order
1.1, 1.2, 1.3, 1.6, 1.7, 1.8, 1.8
theirs seven numbers cross out the lowest numbers n the highest numbers and you should get 1.6
Simplify: 23x - 11x
Enter the original expression if it cannot be
simplified.
Answer:
23x-11x= 12x :)
Step-by-step explanation:
Answer: 12x
Step-by-step explanation: 23x-11x= 12x
Hi, i really need help!
Look at the images below:
(there is 2 images per question)
Answer: the last one
Step-by-step explanation:
When an angle is rotated, its angle measure is equivalent to the angle measure of the original angle.
Find the value of x in the triangle shown below.
Answer:
55
Step-by-step explanation:
I believe it's 55 because the triangle has to equal 180
so I subtracted 70 from 180 and x can't be 70 because they don't have the same lengths
subtracting 70 from 180 gave me 110 then I divided by 2 since both the top angle and x would have the same angle in degrees xD
4 in.
5 in.
2 in.
4 in.
5 in.
5 in.
Answer:
I need to see the whole question but I believe you just add the numbers
The batting Wang Xiu Ying uses to fill quilts has a thermal conductivity rate of 0.030.030, point, 03 watts (\text{W})(W)left parenthesis, start text, W, end text, right parenthesis per meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis per degree Celsius (^\circ\text{C})( ∘ C)left parenthesis, degrees, start text, C, end text, right parenthesis.
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
the batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius. what is the batting thermal conductivity when w/cm•c
Given
K = 0.03W/m°C
Required
Convert K to W/cm°C
Since 1m = 100cm,
K = 0.03w/1×100cm°C
K = 3×10^-2w/10² cm°C
K = 3 × 10^-2w/10² cm°C
K = 3w× 10^{-2-2}cm°C
K = 3w×10^-4cm°C
K = 0.0003w/cm°C
Answer:
0.0003
Step-by-step explanation:
DID IT ON KHAN
and Since 1m = 100cm,
K = 0.03w/1×100cm°C
K = 3×10^-2w/10² cm°C
K = 3 × 10^-2w/10² cm°C
K = 3w× 10^{-2-2}cm°C
K = 3w×10^-4cm°C
K = 0.0003w/cm°C
wich equation shows 5 is a factor of 45
Answer:
5 times 9
Step-by-step explanation:
Table function rule of y=4x+1
Answer:
y=5
Step-by-step explanation:
y equals 5 because x is 1 when you get it alone
Zoe and Hannah share tips in the ratio 3:7. Last week, Zoe received £24. How much did Hannah receive last week?
Answer:
hannah gets £56
Step-by-step explanation:
z : h
3 : 7
24 : ?
24/3 = 8
8 x 7 = 56
£56
hope this helps
brainliest plz?
x
making sure my answer is correct. 2/7 + 7/14
Answer:
9 /14
Step-by-step explanation:
Answer:
I got 11/14
Step-by-step explanation:
I found a common demoninator of 14 I multplied 2/7 by two to get 4/14 then added the two fractions together
4/14+7/14 would equal 11/14