Given:
Initial savings in Katie's account = $230
Additional savings = $5 per month
To find:
The expression that represents the money Katie will have in her savings account after x months.
Solution:
Let x be the number of months.
Additional savings for 1 month = $5
Additional savings for x months = $5x
Now,
Total savings = Initial saving + additional savings for x months.
[tex]\text{Total savings}=230+5x[/tex]
Therefore, the required expression is [tex]230+5x[/tex].
Help plz!!! (20 points)
(07.03 LC)
How many solutions does the equation 6y − 3y − 7 = −2 + 3 have? (1 point)
Group of answer choices
None
Infinitely many
Only one
Two
9514 1404 393
Answer:
Only one
Step-by-step explanation:
Taking the question at face value, the equation simplifies to ...
y(6 -3) -7 = 1
3y = 8 . . . . . . . add 7
y = 8/3 . . . . . . .divide by 3
There is exactly one solution.
i really need help this timed
Which of the following representations of ADAL would allow someone to construct a triangle NOT congruent to ADAL?
You are an office manager. You have been asked to research the cost of an online messaging service. The service charges $3.25 per employee each month. However, if you sign up for a full one-year subscription, the charge drops to $2.80 per employee per month. Your office has 20 employees.
Answer:
The final cost for the service that offers the better deal is $56 per month, in total for the whole year it's $672.
The cost for the one that offers the worse deal is $65 per month.
Step-by-step explanation:
All we need to do is multiply the amount of money by the number of employees.
So:
20 × $2.80 = $56
(Calculations for worse deal)
20 × $3.25 = $65
Answer: $108.00
Step-by-step explanation:
$3.25 per employee, per month (3.25 x 20 x 12) = $780/ mo
$2.80 per employee, per month (2.80 x 20 x 12) = $672/mo
subtract the two, which equals $108.00 will be saved each year with the one-year subscription.
The company plans to have the tanks painted after they are installed. Describe the effect that doubling the diameter has on the amount of paint needed to paint the tanks. What happens when the diameter is increased by a factor of 3?
Answer:
The effect of doubling the diameter is increased the area to paint as 4 times. So, paint needed is 4 times than it was before. And the area is increased by 9 times when the diameter is increased by a factor of 3. So, paint needed is 9 times than before.
Step-by-step explanation:
Please remember the concept
If side lengths are in the ratio a : b
Then the area are in the ratio of a^2 :b^2
The volume are in the ratio of a^3 :b^3,
When diameter is doubled, the area ratio becomes [tex]x^{2} :(2x)^{2}[/tex] which is simplified to [tex]x^{2} :4x^{2}[/tex]
So, the area is increased by 4 times.
According to this concept , the diameter is increased by the scale factor 3.
Let the diameter of tank is 'x', so the diameter becomes "3x"
So, it's area ratio would be [tex]x^{2} :(3x)^{2}[/tex]
If we simplify it we get [tex]x^{2} :9x^{2}[/tex]
We conclude that area to be increased by 9 times.
If
A. Acute
B. Obtuse
C. Right
D. Straight
Answer:
This question does not make sense. Is their an image that needs to be included?
Step-by-step explanation:
Answer:
Angle EAT is acute
Step-by-step explanation:
A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water? (1 point)
{(1, 6.7), (2, 6.4), (3, 6.1)}
{(1, 7.0), (2, 6.7), (3, 6.4)}
{(6.7, 1), (6.4, 2), (6.1, 3)}
{(7.0, 1), (6.7, 2), (6.4, 3)}
Answer:
The correct ordered pairs are:
{(1, 6.7), (2, 6.4), (3, 6.1)}
Option A is correct.
Step-by-step explanation:
A watering can dispenses water at the rate = 0.3 gallon per minute
The original volume of water in the can = 7 gallons.
Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water?
First making the function:
The the volume of water in the can in gallons is represented by y and time in minutes is represented by x. Initially the volume is 7 gallons, after than water dispense at rate of 0.3 gallon per minute so, the function will be:
y=7-0.3(x)
Now, putting values to find ordered pairs
So, when time is 1 minute i.e x = 1
y=7-0.3(1)
y=7-0.3
y=6.7
So, when x=1, y=6.7 the ordered pair is: (1,6.7)
when time is 2 minutes i.e x = 2
y=7-0.3(2)
y=7-0.6
y=6.4
So, when x=2, y=6.4 the ordered pair is: (2,6.4)
when time is 3 minutes i.e x = 3
y=7-0.3(3)
y=7-0.9
y=6.1
So, when x=3, y=6.1 the ordered pair is: (3,6.1)
So, the correct ordered pairs are:
{(1, 6.7), (2, 6.4), (3, 6.1)}
Option A is correct.
A shop sells flower fertiliser in 25kg bags and in 50kg bags.
One week, the shop has two special offers for the fertiliser.
Offer A:
Offer B:
25 kg
50 kg
2 bags for £35
3 bags for £92.50
Which offer (A or B) is the best value for money?
You must show how you get your answer.
Offer A is correct sir
Step-by-step explanation:
!
can someone help me !
On average, cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this place.
A: 1 hour 3 minutes
B: 1 hour 16 minutes
C: 1 hour 35 minutes
D: 2 hours 30 minutes
Answer:
Step-by-step explanation:
C is the correct answer
What is the answer
Answer:
∠B = 60°
Step-by-step explanation:
They are supplementary angles, which means they add up to 180°.
∠B + ∠A = 180
? + 120 = 180
? = 180 - 120
? = 60°
VIRAL MATH PROBLEM
6÷2(1+2)=
Answer:
9
Step-by-step explanation:
6 ÷ 2 ( 1 + 2 )
= 3 ( 3 )
= 9
Harold and his friend Bill each collect vintage action figures. Harold already has
18 action figures and adds 3 more figures to his collection each month. Bill
already has 24 action figures and adds 2 more to his collection each month. Let x
represent the number of months, and y represent the number of action figures.
Which equations can be used to find how long it will take before the friends each
have the same number of action figures?
Harold: y = 3x + 18
Bill: y = 2x+24
Hope this helps with your mid-term too guys !
2. Water bottles are sold in cases of
24. Select the expressions that can
represent the total number of water
bottles in c cases.
24 XC
24 = 0
24 + c
24 – C
24c
Geometry - Unit 4 - Lesson 8
Answer:
Ok
Step-by-step explanation:
Ok
need help math question
My answer is 8 . Please check the answer.
Solve the equation for all real solutions:
16n^2-10n-5=6n
Answer:
5/4 and - 1/4
Step-by-step explanation:
16n^2-10n-5=6n
16n^2-16n-5=0
(4n+1)(4n-5)
4n=-1 4n=5
n= -1/4 n= 5/4
roger has a nail that is 12 centimeters long. he measures and records the length of the nail as 15 centimeters. what is the % error in Rogers measurements
pleaseeee help pleaseee
Step-by-step explanation:
you can do it using the formula of ratio
Answer:
large dogs = 32
Step-by-step explanation:
small dogs to large dogs = 4: 3
total ratio = 7
large dogs = 4/7
total dogs = 56
large dogs = 4 x 56
7
large dogs = 32
What is the leading coefficient? - 3x3 + 8x2 + 9x - 4
A.
-4
B.
-3x3
C.
-3
D.
3
If you answer this I'll give you brainliest
Answer:
c
Step-by-step explanation:
the highest exponent is 3 so the leading coefficient is -3
work out the area of this semi circle
Answer:
39.27
Step-by-step explanation:
The area of a semi-circle is pi times the radius squared divided by 2. So basically standard area of a circle formula (pi times the radius squared) but then you add in the extra step of dividing it by 2.
The formula looks like this:
π × r² ÷ 2
The radius is half the diameter of the circle. So basically think of it as a line to the middle of the circle. Our diameter is 10, (the diameter is the entire length of the circle. It gives us this already. If you need diameter and only have the radius add the radius together twice or multiply it by 2 to get the diameter. Fun fact..?)
and it tells us to substitute pi for 3.142.
So, plugging our numbers in we get:
3.142 x 5^2 ÷ 2 = 39.275.
Cut out the 3rd decimal place (5) as it tells us to only include the first 2 decimal places, and we finally end up with 39.27.
Hope this helps and have a nice day!
What is the measure of angle x?
which number line show the solution of 2x - 8 > -4
Answer:
x=2
Step-by-step explanation:
1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Answer:
a) X + 2x = 36
Step-by-step explanation:
A) x refers to Kim's sister age
B) x = 12
When Kim is 24,his sister is 12
How many solutions does 3(2.4x +4) = 7.2x + 12 have?
Answer: 0
Step-by-step explanation:
rewrite 6x - 5 in standard form
Answer:
I'm pretty sure the answer is still 6x-5.
Step-by-step explanation:
Can somebody please help me? :)
Answer:
33ft
Step-by-step explanation:
12ft + 4ft + 7ft + 10ft = 33ft
what is inverse function of f(x) = -3x+27
Answer:
y=9-x/3
Step-by-step explanation:
swap the variable y=27-3x becomes x=27-3y
now solve the equation x=27-3y for Y
y=9 - x/3
and done:)
HOPE IT HELPS ♡
Solve 6(3 + n) < 48.
Show your work.
Answer:
N<5
Step-by-step explanation:
Check out the pic
HELP ASAP TIMED !!!! What is the exact value of cos(c + d), given Sine c = StartFraction 24 Over 25 EndFraction for c in Quadrant II and Cosine d = negative three-fourths for d in Quadrant III?
Negative StartFraction 47 Over 100 EndFraction
Negative 1 and StartFraction 3 Over 100 EndFraction
StartFraction 21 minus 24 StartRoot 7 EndRoot Over 100 EndFraction
StartFraction 21 + 24 StartRoot 7 EndRoot Over 100 EndFraction
9514 1404 393
Answer:
D
Step-by-step explanation:
In the second quadrant, ...
c = 180° -arcsin(24/25) ≈ 106.26°
In the third quadrant, ...
d = 360° -arccos(-3/4) ≈ 221.41°
Then cos(c+d) = cos(327.67°) ≈ 0.84498
This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:
[tex]\dfrac{21+24\sqrt{7}}{100}\approx 0.84498[/tex]
_____
Perhaps you want to work this out using the trig identities.
cos(c) = -√(1 -sin(c)²) = -7/25
sin(d) = -√(1 -cos(d)²) = -(√7)/4
Then the desired cosine is ...
cos(c+d) = cos(c)cos(d) -sin(c)sin(d)
cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)
cos(c+d) = (21 +24√7)/100 . . . . matches choice D
Answer:
D
Step-by-step explanation:
