Sophie earns a weekly retainer $355 , a commission of 10% sales then the Sophie total earning each week = 39.44$
Sophie earns a weekly retainer = $355
Commission = 10% sales
That means 10%x sales
Let us assume,
Sophie total earning for a week if she made the following sales = x
We can write,
Sophie earns a weekly retainer $355 + commission of 10% sales
x = $355 +10% x
10% means, 10/100 = 0.1x
Then,
x = $355 + 0.1x
We can calculate the product,
x - 0.1x = 35.5$
x(1-0.1) = 35.5$
We can subtract the values,
0.9x = 35.5$
x = 35.5$/0.9
x = 39.44$
The value of x from the equation is 39.44$
Therefore,
Sophie earns a weekly retainer $355 , a commission of 10% sales then the Sophie total earning each week = 39.44$.
To learn more about sales visit : brainly.com/question/7044009
#SPJ9
The formula to convert Celsius to Fahrenheit is F=9/5c+32. Convert 45F- to Celsius. Round to the nearest degree. O A. 49°C O B. 7°C O C. -1°C O D. 113°C
In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 10 hours. How many bacteria would there be after 12 hours, to the nearest whole number?
There will be roughly 12,000 bacteria after 12 hours.
What are mathematical operations?A mathematical "operation" is the process of calculating a value using operands and a math operator. The math operator symbol contains predefined rules that must be applied to the given operands or numbers. A mathematical expression is a collection of numbers and operations.So, there are 5300 bacteria and it gets doubles in 10 hours:
Then,
5300 + 5300 = 10,600 (In 10 hours)5300 × 1/5 = 1060 (In 2 hours)In 12 hours = 10,600 + 1060 = 11,660After rounding off: 12,000Therefore, there will be roughly 12,000 bacteria after 12 hours.
Know more about mathematical operations here:
https://brainly.com/question/20628271
#SPJ9
If COS theta =2√2/4, calculate the value of Sin theta
Answer: [tex]\frac{1}{\sqrt{2}}[/tex]
Step By Step Explanation:
[tex]=\frac{2\sqrt{2}}{2\cdot \:2}[/tex]
[tex]=\frac{\sqrt{2}}{2}[/tex]
[tex]=\frac{\sqrt{2}}{\sqrt{2}\sqrt{2}}[/tex]
[tex]=\frac{1}{\sqrt{2}}[/tex]
455 times 6 step by step
Answer: 2,730
Step-by-step explanation:
Explained in mental math proccess:
In 455, the one value will be multiplied by 6. 5x6= 30.
In 455, the tens value will be multiplied by 6. 50x6= 300.
In 455, the hundreds value will be multipled by 6. 400x6= 2,400.
Find the sums of all products multiplied by 6. 30+300+2,400= 2,730.
455x6= 2,700
DETERMINE WHETHER THE LINES ARE PARALLEL, PERPENDICULAR, OR NEITHER
5X+2y=14 AND y=-5x+9
The lines are neither, nor perpendicular
How to determine the relationship?The equations of the lines are given as
5x + 2y = 14
y = -5x + 9
Make y the subject in both equations
So, we have
y = -2.5x + 7
y = -5x + 9
The slopes of the above equations are
m1 = -2.5
m2 = -5
The above slopes are neither equal not opposite reciprocals
Hence, the lines are neither, nor perpendicular
Read more about lines at:
https://brainly.com/question/24644930
#SPJ1
A car dealership sells SUVs and passenger cars. For a recent year, 30 more SUVs were sold than passenger cars. If a total of 540 vehicles were sold, determine the number of each type of vehicle sold.
The number of each type of vehicle sold are :
SUVs : 300
Passenger cars : 270
Number of SUVs were sold more than passenger cars = 30
Total number of cars sold = 540
Let the number of Passenger car sold = x
Then, The number of SUVs sold = x + 30
So, Total number of cars sold = Number of Passenger car sold + Number of SUVs sold
540 = x + (x + 30)
2x + 30 = 540
2x = 540
x = 540/2
x = 270
We got, the number of Passenger car sold (x) = 270
The number of SUV's sold = x + 30
The number of SUV's sold = 270 + 30 = 300
To learn more about Car Selling visit :
https://brainly.com/question/14064966
#SPJ9
f(n) = -3(n - 1); -51
Answer: n=18
Step-by-step explanation:
f(n) = -3(n - 1); -51
-51=-3(n - 1)
-51/(-3)=-3(n - 1)/(-3)
n-1=17
n+1-1=17+1
n=17+1
n=18
please refer to the image below!!
The expression of f(x) = -2x² - 10 which is h(x) = -2x² - 6 would be vertically upward by 3 units, it becomes the graph of a function for f(x).
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function h is defined as follows.
h(x) = -2x² - 6
If the graph of his translated vertically upward by 3 units, it becomes the graph of a function for f(x)
To determine the expression for f(x).
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
Here h + 4 because adding 2 to the h coordinate would shift it up 2
⇒ h(f(x)) = ( x, y +4 )
⇒ f(x) + 4 = -2x² - 6
⇒ f(x) = -2x² - 6 -4
⇒ f(x) = -2x² - 10
Hence, the expression of f(x) = -2x² - 10 which is h(x) = -2x² - 6 would be vertically upward by 3 units, it becomes the graph of a function for f(x).
Learn more about the function here:
brainly.com/question/12431044
#SPJ1
In 1995, the standard bus fare in a city was $1. In 2022, the standard bus fare was $2.25. Find the percent
increase. (Round to the nearest tenth of a percent.)
Answer:
Submit Question
help me with this question
Answer:3
Step-by-step explanation:
solve the following equation for d. 4hd=3f-g3
The equation solved for 'd' gives d = 3f - g³/ 4h
What is subject of formula?
The subject of a formula is defined as the variable expressed in terms of the other variables.
It is also the variable that is worked out in a given equation or expression;
Given the equation;
4hd = 3f - g³
To solve for 'd'
Divide both sides by the coefficients of d, we have;
4hd/ 4h = 3f - g³/ 4h
We then have
d = 3f - g³/ 4h
Thus, the equation solved for 'd' gives d = 3f - g³/ 4h
Learn more about subject of formula here:
https://brainly.com/question/10643782
#SPJ1
Sachin can drive 110 more miles before he has to get gas.He has to drive 67 miles to his friends house and 32 miles to his moms.Use rounding to estimate whether he will have enough gas to go to both places
Rounding to an estimate, Sachin will have enough gas to go to both places before he runs out of gas.
What is an estimate?An estimate is an equivalent numerical value obtained by rounding off.
The result of an estimate is not an exact value. The value represents the nearest rounded value.
For instance, 75.9% can be estimated or rounded off to 76%. 32 minutes can be rounded off or approximated to ¹/₂ hour.
Data and Calculations:Driving distance before getting gas = 110 miles
The distance to his friend's house = 67 miles
The distance to his mom's house = 32 miles
The total distance to be covered on the available gas = 99 miles
Estimated distance to be covered = < 100 miles
Thus, using estimation, Sachin will still have more than 10 miles to drive before he gets gas.
Learn more about estimation at brainly.com/question/201331
#SPJ1
>
Suppose you want to have $300,000 for retirement in 35 years. Your account earns 10% Interest.
How much would you need to deposit in the account each month?
Answer: 79.02
Step-by-step explanation:
set present value to 0
set future value to 300000
set number of time periods to 35 * 12 = 420
set interest rate percent per time period to 10/12 = 0.833333.
Equation:
See attachment
find(-18)+(-15)+10 ..........
Answer:
-23
Step-by-step explanation:
Just add left to right
Find the smallest number by which 6300 must be multiplied to make it a perfect
square.
To get a perfect square, the smallest number to be multiplied by 6300 is 7.
Multiplication is the process of calculating the result when a number is taken times. Each of the numbers is referred to as a factor of the product, which is the outcome of a multiplication.
Consider the number 6300 which can also be written as:
6300 = 2 × 2 × 3 × 3 × 5 × 5 × 7
Now, 2, 3, and 5 are in pairs. Only 7 is not in pair.
Now, we will multiply 6300 by 7.
Then,
6300 × 7 = 44100
Therefore, the number 44100 is the number that makes the perfect square.
Let's say x² = 44100,
Taking square root on each side of the equation:
x² = 44100
√x² = √44100
x = √[ 21 × 21 × 10 × 10 ]
x = 210
Therefore the smallest number by which 6300 is multiplied to get a perfect square is 7.
Learn more about perfect square here:
https://brainly.com/question/27307830
#SPJ9
Evaluate x²-5xy for x = -3 and y = -2
Answer: -21
Step-by-step explanation:
x = -3 and y = -2
x²-5xy=
(-3)²-5(-3)(-2)=
9-5(-(-6))=
9-5(6)=
9-30=
-(30-9)=-21
Given g (x) =3^2+2x-4, find g(1.5)
Answer:
8
Step-by-step explanation:
[tex]g(x)=3^2+2x-4=5+2x \\ \\ g(1.5)=5+2(1.5)=8[/tex]
Need help with median question here
Answer:
36.5 is median Temperature for girls
Step-by-step explanation:
Let's first calculate the median Temperature for boys to show you how it is done;
Below are the Temperature, they are not in ascending order
37.0,36.1,37.1,37.3,36.3,36.4,36.7,36.7,36.7,35.8
Now let's arrange them in ascending order
35.8, 36.1, 36.3, 36.4, (36.7, 36.7, )36.7, 37.0, 37.1, 37.3
In the middle are 36.7 and 36.7 as seen in the bracket
to find median = 36.7+36.7/2
➟ 73.4/2
➟ 36.7
∴36.7 is median Temperature for boys
Now that I've shown you example with boys temperature let's go find the actual temperature which is girls
Below are temperature for girls
34.7,35.8,35.9,36.2,36.4,36.6,36.6,36.8,36.8,36.9
Let's arrange them in ascending order
34.7, 35.8, 35.9, 36.2,( 36.4, 36.6, )36.6, 36.8, 36.8, 36.9
In the middle are 36.4 and 36.6 as seen in the bracket
to find median = 36.4+36.6/2
➟ 73/2
➟ 36.5
∴36.5 is median Temperature for girls
What is the equation?
Answer:
Answer = (2)n+(2)
Step-by-step explanation:
As the first step try to examine the distribution on both sides carefully.And as a general rule of thumb, try calculating the difference between 2 consecutive terms on "OUT" side. (if the difference is the same for every 2 consecutive terms, then the distribution is arithmetic)In this case it is (-4) - (-2) = -2.After that, try writing the first OUT term in terms of both that difference (most of the time difference comes in multiplication with n) and the first term on IN side.If that cannot be achieved in one go, then either add or subtract a suitable amount of value. it is as follows,first difference = -2
Now, -2 = -2 × (n) + (0) if n = 1
or -2 = -2 × (n) + (-6) if n = -2
or -2 = |-2| ×(n) + 2 :::: -2 = 2n +2 if n = -2
Now all the 3 arrangements are okay but except for the third one, others do not comply with higher terms in the distribution.Therefore, the third one turns out to be the correct arrangement.A long year-end status report for work is 130 pages long. You need to print 17 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.44 each. S Give your answer to the nearest cent, only for the paper you use
Answer:
$17.20
Step-by-step explanation:
You need to print (130)(17) = 2210 pages.
This means you need 2210/500 reams, which rounds up to 5.
So, the cost is 5(3.44) = $17.20
Answer:
7602.40
Step-by-step explanation:
Based on the given conditions
Formulate:
3.44×30×17
447.2×17
7602.4
Round 7062.4
=7062.40
What value of x makes this equation true?
x/2 − 6 = 10
Drag and drop the number that correctly completes the equation.
x = blank
30 31 32 33 34
true or false?????????????????
The equation: 1/2 + 1/6 = 2/3
Is true.
Is the equation true or false?Here we have the equation:
1/2 + 1/6 = 2/3
First, we need to find a common denominator for the two fractions, if we multiply and divide the first one by 3 we get:
(3/3)*(1/2) = 3/6
Replacing that in the equation:
3/6 + 1/6 = 2/3
4/6 = 2/3
Now we can simplify the fraction in the left by dividing both numerator and denominator by 2:
4/6 = 2/3
2/3 = 2/3
Thus, the equation is true.
If you want to learn more about equations:
https://brainly.com/question/13763238
#SPJ1
5 3/8 as a whole number
Answer:
Exact Form: 43/8
Decimal Form: 5.375
Rounding to the Nearest whole number: 5
Consider the system of linear equations.
−4x+6y = 4
2x−3y = k
Determine the constant so that the system of linear equations has infinitely many solutions. (Hint: Graph the equations in the same coordinate plane. What should you see in order for the system to have infinitely many solutions?)
The value of the constant k such that the system has infinitely many solutions is; -2.
What is the value of k such that the system has infinitely many solutions?It follows from the task content that the system of equations given upon observation are multiples.
Hence, by multiplying the second equation by -2; we have;
-4x +6y = 4
-4x +6y = -2k
Hence, for the system to have infinitely many solutions; 4 = -2k.
Ultimately, k = -2 by dividing both sides of the equation above by -2.
Read more on infinitely many solutions;
https://brainly.com/question/27863602
#SPJ1
Given b = −14.
Which equation is true?
b/2 + 7.4 = 1.4
2b + 8 = 20
-28 +2b =53
b/7 + 18 =16
Answer:
D) b/7 + 18 =16
Step-by-step explanation:
Let's solve your equation step-by-step.
b/7+18=16
Step 1: Simplify both sides of the equation.
1/7b+18=16
Step 2: Subtract 18 from both sides.
1/7b+18−18=16−18
1/7b=−2
Step 3: Multiply both sides by 7.
7*(1/7b)=(7)*(−2)
b=−14
2. What does it mean if P(-4) for the polynomial function P(x) = x3 + 11x²
+34x + 24 equals zero?
Answer:
It means that the -4 is one of the solutions for this polynomial. In other words, -4 is a point in the x axis of the graph where the function touches said axis.
The value of the polynomial at P(-4) will be 0.
What is a polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
Given that the polynomial function is P(x) = x³ + 11x² + 34x + 24. The value of the function at P(-4) will be calculated as:-
P(x) = x³ + 11x² + 34x + 24
P(-4) = (-4)³ + 11(-4)² + 34(-4) + 24
P(-4) = -64 + 176 - 136 + 24
P(-4) = 200 - 200
P(-4) = 0
To know more about polynomials follow
brainly.com/question/2833285
#SPJ2
Express each fraction as an expression using a negative exponent organ than -1.
1/25=?
Answer:
A negative exponent flips the fraction and turns the exponent positive, and vice versa.
1/121 = 1/1211 = 121-1
As an example, 5-2 = 1/25, and 1/5-2 = 25.
if z=10, find the value of z raised to 3-3(z-10)
The value of the expression when z = 10 is 1000
How to evaluate the expression?The given parameters are
z = 10
z^3 - 3(z-10)
Substitute z = 10 in z^3 - 3(z-10)
So, we have
10^3 - 3(10-10)
Evaluate the expression
10^3 - 3(10-10) = 1000
hence, the value of the expression when z = 10 is 1000
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
what is 2,722 rounded to the nearest thousand
The 2,722 to the nearest thousand is 3000.
In the given statement is :
What is 2,722 rounded to the nearest thousand
Number is => 2722
Number at thousand place is = 2Now, we need to find the digit at the right side of thousand place = 77 is greater then or equal to 5, now we have to increase the thousand place digit by 1. => 2 + 1 = 3Now after rounding digit 3, all numbers at the right side becomes zero, then rewrite the numbers.Hence, the 2,722 to the nearest thousand is 3000.
Learn more about Rounded to the nearest thousand at:
https://brainly.com/question/23305792
#SPJ1
the circumference of earth is approximately 2.49x10^4 miles. If Philip traveled around the circumference of Earth 20 times, what would the approximate number of miles he traveled
The approximate no . of miles Philip traveled are 4 . 98 * ( 10 ^ 5 ) miles .
Given : the circumference of earth 2.49 x ( 10^4 ) miles
To calculate : the approximate number of miles Philip traveled
Philip traveled 20 times
⇒ 20 * circumference of circle
⇒ 20 * [ 2.49 x ( 10^4 ) ]
( 2 * 2.49 ) * ( 10 ^ 5 )
= 4 . 98 * ( 10 ^ 5 )
Hence , the approximate no . of miles Philip traveled are 4 . 98 * ( 10 ^ 5 ) miles .
To learn more on circumference of circle :
https://brainly.com/question/23986334
#SPJ9
