Answer:
L = 150 - 15t
Step-by-step explanation:
Money borrowed by Ariana = $150
Money she returns each week = $15
Amount of borrowed money will decrease by $15 each week.
In 1 week she will return $15
in 2 week she will return $15*2 = $30
in 3 week she will return $15*3 = $45
...........................
similarly after t week
money she will return = Money she returns in 1 week* no of weeks
money she will return in t weeks = 15*t = 15t
where 15t unit is dollar
So, Amount of borrowed money will decrease by $15t in t week.
Amount of money she woes after t week = Money borrowed by Ariana - money returned in t weeks
Amount of money she woes after t week = 150 - 15t
Since L represents the amount Ariana owes ,her friend after t weeks
L = 150 - 15t is the correct answer
The unit rate of change of Y with respect to X is the amount Y changes for a change of one unit in X
The table below represents a proportional relationship with a constant unit rate of change of Y with respect to X
Which describes a greater unit rate of change of Y with respect X, the equation y=0.25x or the table?
Choose 1 answer:
A. The table
B. The equation
C. The unit rates are the same
By calculating the slope, we can say that the table best describes the change in Y with respect to X.
What is slope?Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Equation of line is y = mx + c where m is the slope.
Similarly, in y = 0.25x, 0.25 is the slope.
For the table, we need to calculate slope.
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
[tex]m = \frac{0.8-0.4}{2-1}[/tex]
m = 0.4
As we compare, it is clear that the slope calculated from the table is greater.
Learn more about slope here
https://brainly.com/question/3605446
#SPJ2
The jar's inner dimensions of the jar are approximately a cylinder with a height of 18
cm and a radius of 7 cm. The jar completely filled to the top with jelly beans. What is
the volume of the Jar?
[tex]v = \pi \times {r}^{2} \times h[/tex]
[tex]v = \pi \times 49 \times 18[/tex]
[tex]v = 2770.88[/tex]
Present age of Karthik and Aryan Aryan ratio for ratio 5:8 years from now the ratio of their ages will be 5:6 find the sum of their present age
Answer:
Step-by-step explanation:
Let the present age be X
Let the later be Y
5/8 of x + 5/6 of y
= 5/8+5/6= 35/24
Been having a lot of trouble with this please help!
Answer:
A
Step-by-step explanation:
The domain of a graph is the span of x-values (or t-values in this case) it covers.
From the graph, we can see that the graph stretches from t=0 to t=14.
Also, note that since the endpoints are closed circles, we will include them within our domain.
Therefore, our domain is all values greater than or equal to 0 and less than or equal to 14.
In set notation, this is:
[tex]\{t|0\leq t\leq 14\}[/tex]
So, our answer is A
:)
Answer:
A
Your answer is A.
Estimate the addition by rounding each number to the nearest hundred thousand. Then find the sum. Estimate: 229,275 +115,368 344633
Answer:
600,000
Step-by-step explanation:
When rounding to the nearest 100,000 if it's X50,000 you round up 1 for the X, if it's X49,999 or less you keep the X as is.
229,275 rounding to the hundred thousand would be 200,000
115,368 would be 100,000
344,633 would be 300,000
so 200,000+100,000+300,000 = 600,000
Solve the equation. Enter only the number into the box below.
22 = 18 + x
Answer:
x=4
Step-by-step explanation:
22 = 18 + x
Subtract 18 from each side
22-18 = 18-18 + x
4 =x
You order two tacos and a salad costs $2.50 you pay 8% sales tax and leave a $3 tip you pay a total of $13.80 how does one taco cost
Answer:
One taco costs $3.75.
Step-by-step explanation:
Let x = cost of taco
You order 2 tacos: 2x
You add a salad: 2x + 2.5
You pay 8% sales tax on 2x + 2.5, so you pay 1.08(2x + 2.5)
You leave a $3 tip, so the total you pay is: 1.08(2x + 2.5) + 3
The total you pay is $13.80
1.08(2x + 2.5) + 3 = 13.80
Subtract 3 from both sides.
1.08(2x + 2.5) = 10.8
Divide both sides by 1.08
2x + 2.5 = 10
Subtract 2.5 from both sides.
2x = 7.5
x = 3.75
One taco costs $3.75.
If Mary and Tom put their money together they have £36. If Mary's money were halved and Tom's money doubled they would have £42. How much does each of them have? If you're answering, could you please show working out, thanks so much.
Answer:
Mary: £20
Tom: £16
Step-by-step explanation:
Let x=the number of £ Mary has and y=number of £ Tom has.
x+y=36 ==>x=36-y
x/2+2y=42 ==> x+4y=84
36-y+4y=84
36+3y=84
3y=48
y=16
x+y=36, so x+16=36, so x=20
I NEED HELP PLEASE !!!!
Answer:5/9
Step-by-step explanation: because yeah
A survey found that 8 out of 10 parents approved of the new principals performance.If 14 parents names are chosen with replacement what is the probability they all approve of the principals performance
Answer:
The probability is 0.044
Step-by-step explanation:
Let p be the probability that the new principal’s performance is approved.
This is obtainable from the survey and it is 8/10 = 0.8
Let q be the probability that the new principal’s performance is disproved.
That will be;
1 - q = 1- 0.8 = 0.2
To calculate the probability that 14 parents names are chosen at random and they all
approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.
That will be;
14C14 * p^14 * q^0
= 1 * 0.8^14 * 0.2^0
= 0.043980465111 which is approximately 0.044
Simplify the expression: 5^2 - 3 * 6 A)7 B)24 C)132 D)144
Answer:
7
Step-by-step explanation:
5^2 = 5 x 5 = 25
3 x 6 is 18
25 - 18 is 7
also, use PEMDAS
Answer:
The answer is 7.
5^2-3×6.
25-18=7.
Ryan is riding on a bike course that is 80 miles long. So far, he has ridden 56 miles of the course. What percentage of the course has Ryan ridden so far?
Hi :)
To find percentage, divide 56 by 80 and multiply by 100
To remember this, know that since 56 is of 80, of/number x 100 56/80 x 100
You should get something like 70, which happens to be your answer, 70%
Hope this helps,
Jeron
P.S (brainliest? only if i helped)
∠1 and ∠2 are vertical angles. If the measure of ∠2 is 105°, find the measure of ∠1.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{105°}}}}}[/tex]
Step-by-step explanation:
Given, < 2 = 105°
To find : < 1
When two lines interest the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles are always equal to each other.
So,
<1 = 105 °
Hope I helped!
Best regards!
Answer:
[tex]\Huge \boxed{\angle 1 = 105 \° }[/tex]
Step-by-step explanation:
[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertical angles.
[tex]\angle 2= 105 \°[/tex]
Vertical angles are equal in measure.
[tex]\angle 1= \angle 2[/tex]
[tex]\angle 1= 105 \°[/tex]
Hii, so this was one of the questions on a previous CSAT exam (korean sat). I was curious and decided to look at a few questions. This question I found was particularly interesting and I am close to figuring it out but i keep getting stuck. Would anyone like to explain how this works and how to solve it?
Answer:
Step-by-step explanation:
Well you can calculate the area of the base side by the integration of cos - sin x over the limits x = 0 and x = π/6.
Then I think one side of the square would be cos π/6 - sin π/6.
So I think the required volume can be worked out as area of base * length of a side of the square.
I think that,s the way to do it, if i have interpreted the question correctly.
Given x =-2 and y = -1, evaluate the expression 3x^2 - 2y.
Answer:
13
Step-by-step explanation:
3(-2)^2-2(-1)
3(4)+2
12+1
13
Write the possible range of each measurement to the nearest tenth. Include unit measure. Round to the tenths place.
60 m ± 4.5%
__?__ - __?__
Answer:
60.0m≤60.1mStep-by-step explanation:
Given the interval for the measurement to be 60 m ± 4.5%, the posible range of each measurement is expressed as shown;
60 m ± 4.5% = 60 m ± 4.5/100
= 60 m ± 0.045
= (60 - 0.045, 60+0.045)
= (59.955, 60.045)
Hence possible range of each measurement to the nearest tenth is (60.0m≤60.1m)
Which expression is not equivalent to a ∙ c ∙ 5 ∙ 5? 1. 10ac 2. 25ca 3. 25ac
Answer:
3. 25ac
Step-by-step explanation:
[tex]a\cdot c\cdot \:5\cdot \:5\\=25ac[/tex]
A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 9), (2, negative 6), (negative 5, 4), (1, 2), (6, 0). What is the domain of the function shown in the mapping? {x | x = –5, –3, 1, 2, 6} {y | y = –9, –6, 0, 2, 4} {x | x = –9, –6, –5, –3, 0, 1, 2, 4, 6} {y | y = –9, –6, –5, –3, 0, 1, 2, 4, 6}
Answer:
{x | x = –5, –3, 1, 2, 6}
Step-by-step explanation:
The domain is the list of first-values of the ordered pairs:
{x | x = –5, –3, 1, 2, 6}
Answer:
{x | x = –5, –3, 1, 2, 6}
Step-by-step explanation:
took the test
a coordinate system or coordinate plane is used to locate a point and a two dimensional plane the horizontal number line is the
My answer is a Cartesian Coordinate System.
Need ASAP! Choose the numbers that are irrational. 1. 0. 87 repeating 2. 3.624 3. √2 4. 0. 6 repeating 5. -5 6. 1 over 3 7. Pi. I couldn't use the symbol
Answer:
1, 3, 7
Step-by-step explanation:
A rational number can be written as a ratio or fraction.
1) I wasn't able to determine a fraction for what I'm assuming you meant by 0.878787878787 going on and on so it must be irrational
2) 3.624 can be written as 3 78/125
3) The square root of two is irrational
4) 0.6666666 going on and on can be written as 1/3
5) -5.6 can be written as a fraction too
6) 1/3 is already a fraction
7) Pi is irrational
Hope that helps!
May I get some help? Please and thank you
Answer:V x 80 = 36 Original value is $0.45
Step-by-step explanation: V is the original value and your x it by 80
Three equivalent ratios are shown on the graph. On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted. Starting on one of the plotted points, how can you plot more equivalent ratio points? Move up one and right one and one-half. Move up one and one-half and right three. Move up two and right three. Move up one-half and right two
Answer:
Move up one half and right two.
Step-by-step explanation:
trust
Answer:
move on up one and right two
Step-by-step explanation:
The question I have is y=3bx-7x. It says to solve the literal equation for x.
Answer:
y/( 3b-7)=x
Step-by-step explanation:
y=3bx-7x
Factor out x
y=(3b-7)x
Divide each side by (3b-7)
y/( 3b-7)=(3b-7)x/ ( 3b-7)
y/( 3b-7)=x
Answer:
[tex]\huge \boxed{x= \frac{y}{3b-7} }[/tex]
Step-by-step explanation:
[tex]\sf y=3bx-7x[/tex]
Factor out x from the expression.
[tex]\sf y=x(3b-7)[/tex]
Divide both sides by (3b - 7).
[tex]\sf \displaystyle \frac{y}{3b-7} =x[/tex]
Help please!! i really don't get this question. (attached below) I will report any irrelevant answers, but I will give brainliest!
Answer:
9
Step-by-step explanation:
Rotational symmetry is when a shape has the same orientation after being rotated.
For example, an equilateral triangle rotated 120° will line back up with itself. A square rotated 90° will also return to its original orientation. Same with a pentagon rotated 72°.
Basically, an n-gon rotated by a multiple of 360°/n will return to its original position.
θ = k 360°/n
For the first rotation:
160° = k 360°/n
160 / 360 = k / n
4/9 = k/n
For the second rotation:
120° = k 360°/n
120 / 360 = k / n
1/3 = k/n
For the third rotation:
80° = k 360°/n
80 / 360 = k / n
2/9 = k/n
For the fourth rotation:
280° = k 360°/n
280 / 360 = k / n
7/9 = k/n
The total rotation angle is -160°.
160 = k 360/n
160 / 360 = k / n
4/9 = k/n
Comparing the denominators, n must be the smallest multiple of 3 and 9. Therefore, n = 9.
Answer:
R,732
Step-by-step explanation:
what is 6000 ÷ 93
thx you if help me
Answer:
64.51
Step-by-step explanation:
6000 divided by 93 = 64.51
Answer:
64.51 :D
No explanation- heh-
Select all the rational numbers
Help !
Answer:
all not negative
Step-by-step explanation:
every one not negative is a ratio
convert 18 celsius to Fahrenheit
Answer:
It's 64 degrees
Step-by-step explanation:
multiply the temperature in degrees Celsius by 2 then add 30 to get the estimated temperature
Water flows through a pipe at a rate of 10 milliliters every 8.5 seconds. Express this rate of flow in liters per minute. Round your answer to the nearest hundredth.
Answer:
0.07 litres/minuteStep-by-step explanation:
Given the amount of water in millilitres to be 10 ml
Time taken for the water to flow = 8.5 seconds
Rate of flow in ml/sec = amount of water (in ml)/Time taken(in secs)
Rate of flow in ml/sec = 10ml/8.5scs
To express the resulting value in litres per minute, we will use the following conversion:
1 millilitre = 10⁻³litres
60secs = 1 minute
Converting 10ml to litres:
If 1 millilitre = 10⁻³litres
10 millilitres = (10*10⁻³)litres
Converting 8.5secs to minute:
If 60secs = 1 minute
8.5secs = (8.5/60)minutes
8.5secs = 0.1417 minutes
10ml/8.5scs in litre/sec:
10ml/8.5scs = (10*10⁻³)litres/0.1417 minutes
10ml/8.5scs = (0.01/0.147)litres/min
10ml/8.5scs = 0.07litres/minute (to the nearest hundredth)
Hence the rate of flow in liters per minute to the nearest hundredth is 0.07litres per minute.
5. To the nearest percent, what is the
probability that a student who drives is a
senior?
A 21%
B 43%
C 69%
Help...!!!!!!!!!!!!!!!!!!!!!
Answer:
33b-8
Step-by-step explanation:
We want to find the perimeter
Add up all three sides
P = 12b-8 + 12b -8 + 9b+8
Combine like terms
P = 33b-8