Answer:
T = $19.50 + $0.25(m - 200)
Step-by-step explanation:
Using the information provided we can create the following equation. This equation subtracts 200 from the total number of minutes and multiplies this by the cost per minute. Then it adds the fixed cost for the initial 200 minutes to get the total of the bill (T).
T = $19.50 + $0.25(m - 200)
Now that we have the equation we can plug-in you total for last month's bill and solve for m to calculate how many minutes you used last month.
$29.50 = $19.50 + $0.25(m - 200) ... distribute 0.25
$29.50 = $19.50 + $0.25m - 50 ... combine like terms
$29.50 = $0.25m - $30.5 ... add 30.5 on both sides
$60 = $0.25m ... divide both sides by 0.25
240 = m
Finally, we can see that you used a total of 240 minutes last month.
-5x + 10 > -15 can someone solve this?
Answer:
x<5
Step-by-step explanation:
Answer:
x<5
Step-by-step explanation:
First, subtract 10 from both sides which will give you −5x>−25.
Then just divide both sides by -5 and you should get the same answer x<5
I hope this helps :)
PLEASE HELP ME WITH THIS I NEED HELP ASAP
Answer:
25:10
Step-by-step explanation:
a middle school has 520 students, 75% of the students ride the bus to school. How many students do not ride the bus to school?
Answer:
130 students do not ride the bus to school.
Step-by-step explanation:
520 * .75 = 390
390 students ride the bus to school.
520-390=130
130 students do NOT ride the bus to school.
Hope this helps! :)
A new cars salesperson, sold an average of $28,000 per day for the first 5 days she worked.
The next 3 days she worked, she sold an average of $42,000. How much did she sell on average
per day over the entire 8 days?
Answer: 15
Step-by-step explanation:
The average number of cars sold for entire 8 days is $33250.
What is the average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, a new cars salesperson, sold an average of $28,000 per day for the first 5 days she worked.
So, number of cars sold for 5 days =28,000×5
= 140000
The next 3 days she worked, she sold an average of $42,000.
Number of cars sold for 3 days
= 42,000×3
= 126000
So, average of 8 days =(140000+126000)/8
= 266000/8
= 33250
Therefore, the average number of cars sold for entire 8 days is $33250.
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Decrease 40 by ratio of 4:5
A decrease in the ratio 4:5 implies that :
New quantity:Old quantity = 4:5
Let the new quantity be [tex] \bf \: x[/tex]
[tex] \bf∴ x : 40 = 4:5[/tex]
[tex] = > \bf \frac{x}{40} = \frac{4}{5} [/tex]
[tex] \bf = > 40 \times \frac{x}{40} = 40 \times \frac{4}{5} [/tex]
[tex] \bf = > x = 8 \times 4[/tex]
[tex] \bf = > x = 32[/tex]
So, the new quantity is 32
Given f(x)=-2x-3 and Range={-5,-1,-3} find Domain
{1,3,5}
{-1,0,1}
{2,3,1}
{0,-2,3}
Answer:
the answer is the 2nd option
domain = { -1, 0, 1 }
While in Canada, Renita bought a souvenir that is 15 centimeters long. She knows that 1 inch equals 3 centimeters. What is the length of the souvenir in inches?
Answer: 5 inches
Step-by-step explanation:
Length of souvenir = 15 cm
If 1 inch = 3 centimeters
Length of souvenir in inches :
To obtain the length of souvenir in inches :
Divide the number of inches by 3
Length of souvenir / 3
15 / 3 = 5
Hence, the length of souvenir in inches = 5 inches
What is an equation in point line slope form of the line that passes through the point (4,-1) and had slope 6
Answer:
y+1=6(x-4)
This is if you want it in point slope for,.
Step-by-step explanation:
Then, if you simplify it.
y+1=6x-24
y=6x-25
Now, it is in slope intercept form.
Arrange the decimal fractions in descending order.
1.3 0.13 3.1 0.31
Answer:
0.13 0.13 3.1.3
Step-by-step explanation:
Hope it's answer you plz mark as Brainlist
How do I find the 5 roots of 1^(1/5) using De Moivre's Theorem?
Do you mean the 5th roots of 1? Or the 5th roots of 1^(1/5), i.e. the 5th roots of the 5th roots of 1?
I assume you mean the former. To begin with,
1 = exp(0°i ) = cos(0°) + i sin(0°)
Take the 5th root, i.e. (1/5)th power of both sides, so that by DeMoivre's theorem,
1^(1/5) = [ cos(0°) + i sin(0°) ]^(1/5)
1^(1/5) = cos((0° + 360°n)/5) + i sin((0° + 360°n)/5)
where n = 0, 1, 2, 3, or 4. Then 1^(1/5) has the 5 possible values,
• cos(0°/5) + i sin(0°/5) = 1
• cos(360°/5) + i sin(360°/5) = cos(72°) + i sin(72°)
• cos(720°/5) + i sin(720°/5) = cos(144°) + i sin(144°)
• cos(1080°/5) + i sin(1080°/5) = cos(216°) + i sin(216°)
• cos(1440°/5) + i sin(1440°/5) = cos(288°) + i sin(288°)
If you wish, or are required to, you can go on to write these in terms of radicals by expanding cos(5x) and sin(5x) (where x = 72° so that 5x = 360°). For example,
cos(5x) = cos⁵(x) - 10 cos³(x) sin²(x) + 5 cos(x) sin⁴(x)
cos(5x) = cos⁵(x) - 10 cos³(x) (1 - cos²(x)) + 5 cos(x) (1 - cos²(x))²
cos(5x) = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)
which follows from the expansion
(cos(x) + i sin(x))⁵ = cos(5x) + i sin(5x)
due to DeMoivre's theorem and equating the real parts. Then cos(5x) = 1, and you can try to solve for cos(x) :
1 = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)
Actually, it would be easier to find sin(x) first, since sin(5x) = 0. The expansion in terms of sin(x) will look quite similar to the one shown here.
write the equation of the line in slope- intercept and point-slope form.
Answer:
Step-by-step explanation:
As we move from the x-intercept (-2, 0) to the y-intercept (0, 4), x increases by 2 (this is the run) and y by 4 (this is the rise). Thus, the slope of this line is
m = rise/run = 4/2 = 2.
Given the y-intercept (0, 4) and the slope (2), the slope-intercept form of the equation of this line is y = 2x + 4.
From this we get the point-slope form:
y = 2x + 4 becomes y - 4 = 2(x - 0), or just y - 4 = 2x.
Pls help soon!
Find the distance between the points (-4, -5) and (3, -1).
Answer:
[tex]\sqrt{65}[/tex]
Step-by-step explanation:
Please see work attached.
hit the heart button :)
Answer: [tex]\sqrt{65}[/tex]
Step-by-step explanation:
distance formula is [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^{2}}[/tex]
take the 2points in the given (-4,-5) as ([tex](x_{1},y_{1} )[/tex]) and (3,-1) as [tex](x_{2},y_{2})[/tex]
and just substitute to get [tex]\sqrt{65}[/tex]
Hiii I neeeeedddddd helpppppppppppppp
Answer: 9.4
a² + b² = c²
5² + 8² = c²
25+64=c²
89 = c²
√89 = √c²
9.4 = c
Step-by-step explanation:
Answer: 9.4
a² + b² = c²
5² + 8² = c²
25+64=c²
89 = c²
√89 = √c²
9.4 = c
A rectangular block of metal is 25cm long, 13cm wide and 10cm high.
The metal block is melted down and all of the metal is used to make a cube.
Work out the length of each side of the new cube formed.
Give your answer rounded to 1DP.
Answer:
14.8 cm
Step-by-step explanation:
Volume of the block: 25 × 13 × 10 = 3250
Side length of the cube: [tex]\sqrt[3]{3250}[/tex] ≈ 14.8
Answer:
14.8
Step-by-step explanation:
Volume of box = volume of cube
4.
What is the slope of the line with the equation y = 4x + 12
a) 4
b) 1/4
C) -4
d) -1/4
Convert 7 gallons to cups
Answer:
112 cups
Step-by-step explanation:
multiply the gallons by 16 to get 112 cups
Answer:
112 U.S Cups
Step-by-step explanation:
y^2 + 18y - 41 = 0
Y=
Y=
Answer:
y= -9+√122, or -9 - √122
Step-by-step explanation:
You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.
after solved, I got the answer as decimal,
y = 2.0453610.....
i simpler form : y = 2.05
Also, an answer can be y= -9+√122, or -9 - √122
A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12 more feet to get a better look at a coral reef.
Complete question :
A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12
more feet to get a better look at a coral reef.
What is the scuba diver's final position relative to sea level?
Answer:
- 22 feets
Step-by-step explanation:
Given that:
Starting position of scuba diver = 10 feets below sea level = - 10 feets
Then a further descent of 12 feets in other to get a better look of the coral Reef
Further descent = - 12 feets (below sealevel)
Hence, Final position of the scuba diver will be:
Starting position + depth of further descent
(-10 + - 12) feets
-22 feets
Anyone know the answer?
Answer:
-62
Step-by-step explanation:
Answer
46
Step-by-step explanation:
6(32)−8
=(6)(9)−8
=54−8
=46
Someone Please explain how to do this. HURRY
You are given parallelogram ABCD and side AB is congruent to side DC.
Prove segment AM is congruent to segment CM.
*Upload a picture of your markings along with your proof
Given triangle RPQ is isosceles and C is the midpoint of line RQ.
Prove that angle RPC is congruent to angle QPC.
*Upload a picture of your markings along with your proof
ABM=CDM-DMC=BAM alternate interior angles
AMB=CMD verticle angles
triangle AMB=CMD by ASA
A=c CPTC
ABD=BDC, BAC=ACD, ADB=DBC by CPCTC
AM=CM def of a Parallelogram
2.
△
RPQ is an isosceles triangle. C is the midpoint of line RQ- Given
RPC=QPC- construction
PC=PC reflective property
∠
RPC= QPC- SAS
Find the Triangle’s angles
PLEASE HELPP! The diameter of a decorated plate is 20 centimeters. There is a flower painted every 15.7 centimeters around the edge of the plate. How many flowers are painted on the plate? Use 3.14 for
Answer:
4 flowers
Step-by-step explanation:
First we need to calculate the circumference of the plate.
C = πd
Given
diameter d = 20cm
C = 3.14(20)
C = 62.8 cm
If there is a flower painted every 15.7 centimeters around the edge of the plate, the amount of flower on the plate will be;
Number of flower = Circumference of the plate/length of flower
Amount of flower = 62.8/15.7
Amount of flower = 4
Hence there are 4 flowers painted on the plate
Answer:
4
Step-by-step explanation:
Find the equation of the line that is parallel to the given line and passes through the given point.
y=-6x + 9; (8,9)
The equation is y =
Answer:
y = -6x - 39
Step-by-step explanation:
A parallel line will have the same slope so m= -6, but it will have different points.
So we have y= -6x + b and the points are (8,9)
Substitute that in
9 = -6*-8 + b
9 = 48 + b
subtract 48 on both sides
9-48 = 48 - 48 + b
-39 = b
so equation is
y = -6x -39
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Answer:
y=-6x+9
0=-6x+9
6x=9
x=9/3
x=3/2
Which would be used to solve this equation? Check all that apply.
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
PLSSSS HELPPPP
Answer:
whats the equation??
Step-by-step explanation:
i need to know what the equation looks like to answer
The exterior angle of a regular polygon is 36º.
How many sides does the polygon have?
Answer:
10
Step-by-step explanation:
The sum of the measures of the exterior angles in a convex polygon is 360°. And each exterior angle measure 36 degrees so Number of side will be 10.
The candle burned at a rate of 0.75 inches per hour and its initial length was 9 inches. Write an equation for L, in terms of t,t, representing the length of the candle remaining in inches, t hours after the candle was lit.
some one please help me
93% marked up 35? i need it like nowwwww
Answer:
How do you calculate a 35% markup?
Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage.
Which of the following is the multiplicative inverse of 4?
16
-4
1/4
-1/4
Lucy did 8 laps of an 800m derek did 12 laps of a 1.5km track on his bike who went further and by how munch
Answer:
Derek; by 11600 m.
Step-by-step explanation:
Convert 1.5km into m.
1.5 is 1500m.
1500 * 12 = 18000 m
8 * 800 <= Lucy
6400 m <= Lucy's distance
18000-6400=11600m
Based on the information, Derek went further by 11600m.
Lucy did 8 laps of an 800m. The total distance will be:
= 8 × 800m
= 6400m
Derek did 12 laps of a 1.5km track. The total distance will be:
= 12 × 1500m
= 18000m
Therefore, the difference will be:
= 18000m - 6400m
= 11600m
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