Step-by-step explanation:
x = number of minutes
the cost function (in c) of the phone company is
cp(x) = 12x
and the cost function of the discount company is
cd(x) = x/2 + 4600 (R46)
we now need to calculate for what x this becomes the same cost :
12x = x/2 + 4600
24x = x + 9200
23x = 9200
x = 400 minutes
she would have to talk for at least 400 minutes long distance per month to make it an even or then better deal.
with 400 minutes being the break-even point.
so, to make it a better deal (not just equal), she has to talk for at least 401 minutes per month.
What formula to use for determining the probability that the mean stress level for a sample of 70 employees will fall above 52? (mean =50; STD 10)
Answer:
0.4207
Step-by-step explanation:
Determine z-score
[tex]z=\frac{\bar{x}-\mu}{\sigma/\sqrt{n}}\\ \\z=\frac{52-50}{10/\sqrt{70}}\\ \\z\approx1.6733[/tex]
Find P(Z>1.6733)
[tex]P(Z > 1.6733)=normalcdf(1.6733,\infty)\approx0.4207[/tex]
Therefore, the probability that the mean stress level for a sample of 70 employees will fall above 52 is 0.4207
sale price: $66.30 percent of discount: 65%
find the regular price
Answer:
$189.43
Step-by-step explanation:
P = regular price
65% as a decimal = [tex]\frac{65}{100}[/tex] = .65
Discount = .65
To get the amount of the discount we would multiply P * .65
To find the sale price we subtract the discount from the original price.
Now we write our equation:
P - P(.65) = $66.30
Solve for P
P - P(.65) = $66.30
1P - P(.65) = $66.30
1P - .65P = $66.30
.35P = 66.30 Divide each side by .35
.35P.35 = 66.30/.35
P = 66.30/.35
P ≈ $189.43
exercise 15 b i will mark u as brainlist
15b
10 balls...........200
15 balls.......... = 15x200 : 10 = 300
Rs 300 for 15 balls
Find 3 equivalent fractions to this number. 16/40
Answer:
[tex]\frac{8}{20}[/tex] , [tex]\frac{4}{10}[/tex] , [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
to find equivalent fractions multiply or divide the numerator and denominator by the same value.
[tex]\frac{16}{40}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{8}{20}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{4}{10}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{2}{5}[/tex] ← in simplest form
lewis can run a 40-yard dash in 4.8 seconds. On average, how many feet does he run per second?
over 5 seconds, a guy that runs a 4.4 runs about 5 extra yards further than a guy running a 4.9
Pls help I’ll give brainlisest it’s 7th grade math
Answer:
-2.3 to 2.9
Step-by-step explanation:
The range is kinda self explanatory, range is the space between the lowest value and the greatest value. You can solve it by subtracting 2.9 - (-2.3)
Hope that helps and have a great day!
A man won a lotto jackpot and he spent 2/5 of the money on luxury cars and 1/4 on buying a house. What fraction of his lotto earnings is remaining
spent : 2/5 + 1/4 = 8/20 + 5/20 = 13/20
remains = 7/20
The 7/20th fraction of his lotto earnings is remaining.
Let us say the man has $100
Money spent on luxury cars = 2/5 of the money
Money spent on luxury cars = 2/5 * 100 = $40
Money spent on buying a house = 1/4 of the money
Money spent on buying a house = 1/4 * 100 =$25
Money left with the man = 100-40-25 = $35
$35 is what fraction of $100?$35 is 35/100 fraction of $100.
35/100 = 7/20
So, the 7/20th fraction of his lotto earnings is remaining.
Hence, the 7/20th fraction of his lotto earnings is remaining.
To get more about fractions visit:
https://brainly.com/question/78672
lines M and N are parallel which angle has a measure of 110
a.1
b.2
c.3
d.4
Answer:
B. angle 2
Step-by-step explanation:
Angle 2 is opposite to the 110 degrees, and opposite angles are congruent
Hope this helps :)
Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
45°
60°
120°
135°
[tex]x + y = 90[/tex]
[tex]x = 3y[/tex]
[tex]3y + y = 90[/tex]
[tex]4y = 90[/tex]
[tex]y = 15[/tex]
[tex]x = 3(15) = 45[/tex]
Answer:
45 °
Step-by-step explanation:
Knowing that:
Supplementary Angle = 180 °
Angle x is 3 time the measure of angle y.
Solve:
Equation below:
x + y = 180
x = 3y
Substitute
3y + y =180
4y = 180
Divide both sides by 4
4y/4 = 180/4
y = 45
Value of x:
x = 3 × 45
x = 135
Therefore the measure of angle x is 135.
x = 45
y = 135
~Lenvy~
scott wants to rent a boat and spend at most $79. The boat costs 8 per hour, and Scott has a discount coupon for $9 off. What are the possible numbers of hours Scott could rent the boat?
Answer:
11 hours
Step-by-step explanation:
Using the $79 dollars, Scott can get up to 9 hours with the boat. Scott will be left with $7, adding the $7 to the $9 coupon, Scott will then have $16 which can give Scott an additional 2 hours summing the total hours up to 11 hours Scott can rent the boat for.
Express as a sum
a-5
(please give explanation too)
The sum is a+1*(-5) since you have a multiplication with different signs (+ -).
Multiplication Sign RulesThe rules to multiplication of numbers are:
+ + or - -The result presents a positive sign (+) because the signs are same.
+ - or - +The result presents a negative sign (-) because the signs are different.
The given function is a linear equation with one variable (a). You can rewrite the expression a-5 as a sum. See below.
a+ 1*(-5) =a-5 since when you have a multiplication with different signs (+ -).
Read more about rules for multiplication here:
https://brainly.com/question/16119150
find the multiplication inverse of 3/5.
Answer:
[tex] \frac{5}{3} [/tex]
Step-by-step explanation:
[tex]let \:the \: multiplicative \: inverse \: be : x \\ then \: \frac{3}{5 } \times x = 1 \\ \frac{3x}{5} = \frac{1}{1} \\ 3x \times 1= 5 \times 1 \\ 3x = 5 \\ x = \frac{5}{3} [/tex]
♨Rage♨
Find the height of the Eiffel Tower.
Answer:
The tower itself is 300 metres (984 feet) high. It rests on a base that is 5 metres (17 feet) high, and a television antenna atop the tower gives it a total elevation of 324 metres (1,063 feet).
When drawing a card, find the probability of drawing a spade or selecting a number less
than five.
Answer:
Therefore, there 16 chances of getting a spade OR a five.
Step-by-step explanation:
Please solve with explanation
Answer:
a) x=-a, x=a+b
b) x=5/2a, x=1/3b
c) x=1/2a, x=a/a-2
Step-by-step explanation:
a) (x-a)(x-a)-b(x+a)=0
(x+a)(x-a-b)=0
x=-a, x=a+b
b) 3x(2x-5a)-b(2x-5a)=0
(2x-5a)(3x-b)=0
x=5/2a, x=1/3b
c) (2a-4)x^2=a^2(x-1)
(2x-a)(ax-2x-a)=0
please help me asap
Answer: D. The moon is located perpendicular to Earth and the sun.
Step-by-step explanation: I studied astronomy. :)
8
9
10
TIME REMAINING
14:56
SERE
The National Weather Service keeps track of the temperature for a given day in a given city. It also keeps track of this
information at certain times during a given day. The following temperatures were recorded on a January day in New York
City.
Time of Day
10 AM 12 Noon 2 PM 4 PM 16 PM
SPM 10 PM
Temperature (°F) 30 35 36 36 34 30 28
a.
What is the average rate of change of temperature with respect to time over the evening hours from 6 PM to 10 PM?
Interpret this value in a complete sentence.
6°F degrees per hour; The temperature drops at an average rate of 6 degrees per hour from 6
PM to 10 PM
b. -6°F degrees per hour: The temperature drops at an average rate of 6 degrees per hour from 6
PM to 10 PM
C.
-1.5°F degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour
from 6 PM to 10 PM.
d. 1.5°F degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour from
6 PM to 10 PM
Mark this and return
Save and Exit
Nex
Submit
cript:void(0)
Answer:
D. 0.019 years of age per year
Step-by-step explanation:
Carlos is using a number line to add another integer to –4. He begins by showing –4 on the number line, as shown below. Carlos adds the other integer on the number line and says that the sum is negative.
A number line going from negative 5 to positive 5. The area between negative 4 to 0 is highlighted.
Which is true of the number Carlos added to –4?
The number must be a negative integer.
The number must be a positive integer.
The number could be 3 or any integer less than 3.
The number could be 4 or any integer greater than 4.
Answer:
The number must be a negative integer because -4+ any negative is a negative
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Simplify 6 - 23 + (-9 + 5) · 2.
6 - 23 + (-9+5) * 2
-17 + (-4)*2
-17 + (-8)
-17 - 8
-25
Answer:
-25
Step-by-step explanation:
follow the order for pemdas which is (parenthesis,exponent,multiplication/division, and then addition/subtraction)
What is the value of 3n at n = 11
Answer:
33
Step-by-step explanation:
replace n with 11 and multiply 3x11
find gradient for
xe^y + y e^x = 2e at (1,1)
Answer:
Step-by-step explanation:
Y
=
−
[
e
+
1
]
x
+
1
for the function f(x)=1/2(x-3)2 +6, what is the value of f(2)
so basically solve f(2)=1/2(x-3)2 +6
the third two is a small two btw next to x-3
Help please!!! Algebra 3, Find Tan 0
Answer:
Step-by-step explanation:
40% of 40
Percentage of whole numbers (10-100)
Hello
40% de 40
(40*40)/100 =>16
Iman had twice as much money as Daphne at first. After Iman had spent $128 of her money on a bag and Daphne had spent $40 of her money on a dress, they had an equal amount of money left. How much money did each of them have left? pls help me.
Step-by-step explanation:
x = Iman's money
y = Daphne's money
x = 2y
x - 128 = y - 40
now we use the first equation as identity in the second equation and get
2y - 128 = y - 40
y - 128 = -40
y = $88
x = 2y = $176
these were the starting values.
now, after spending, they have both left
176 - 128 = 88 - 40 = $48
Write an equation describing the relationship of the given variables.
y varies directly as the fourth power of x and when x=3, y=162.
y =
Answer:
[tex]y = 2x^4[/tex]
Step-by-step explanation:
The given statement can be represented as:
[tex]y\ \alpha\ x^4[/tex]
[tex]x =3; y = 162[/tex]
Given
Represent this as an equation
[tex]y\ \alpha\ x^4[/tex]
Convert variation to equation
[tex]y = kx^4[/tex]
Where k is a constant of variation.
Substitute [tex]x =3; y = 162[/tex]
[tex]162 = k * 3^4[/tex]
[tex]162 = k * 81[/tex]
Solve for k
[tex]k = 162/81[/tex]
[tex]k =2[/tex]
To get the equation, we have:
[tex]y = kx^4[/tex]
Substitute 2 for k
[tex]y = 2x^4[/tex]
The equation describing the relationship of the given variables is [tex]y=\frac{81}{162}x^4[/tex]
If y varies directly to the fourth power of x, this can be expressed as:
[tex]y \alpha x^4\\y=kx^4\\[/tex]
Given that x = 3 and y = 162, the equation becomes;
[tex]162 = k(3^4)\\162 = 81k\\k=\frac{81}{162}[/tex]
Substitute the value of k into the expression above to have:
[tex]y=kx^4\\y=\frac{81}{162}x^4[/tex]
Hence the equation describing the relationship of the given variables is [tex]y=\frac{81}{162}x^4[/tex]
Learn more on direct variation here: https://brainly.com/question/6499629
Coach Harns wanted to buy new basketballs. He has a $200 budget to purchase
basketballs. He found 40 basketballs for $300. Coach Cary gave him a coupon
for 45% off. What is his new price and can he purchase the 40 basketballs?
Original:
Discount:
New price:
Helppp me.
how do i write 2y+10x=-4 in slope intercept form
Can anyone help me on this question?
Answer:
B
Step-by-step explanation:
The definition of an inverse is a reflection over y=x.
match the google drive applications to its best use.
Answer:i need brainy answered sorry
Step-by-step explanation:sorry
Answer:
first google docs second google sheets
Step-by-step explanation:
first google docs second google sheets third google forms forth google drawing 5th google maps 6th google slides