Answer:
6.96195
Step-by-step explanation:
Solve by multiplying
25.785
0.270
------------
6.96195
Two people worked on a car. The first person charged $ 85 per hour, and the second person charged $ 120 per hour. The people worked for a combined total of 15 hours, and together they charged a total of $ 1450. How long did each person work?.
The number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.
What is an equation?
An equation is formed when two equal expressions are equated so that the value of a variable can be found.
Let the number of hours for which the first person worked on the car is x
In order to solve the problem, we will make two equations. Now, since we know that the total number of hours for which the two-person worked on the car is 15, therefore, we can write it as,
[tex]x+y =15[/tex]
The amount charged by the first person is $85 per hour, while the amount charged by the second person is $120, and the total cost of the two is $1450 combined. therefore, the total cost can be written as
[tex]85x+120y = 1450[/tex]
As we got the two-equation solving the two-equation, to get our answer.
In the first equation, we will isolate y, in order to get the value of y in terms of x,
[tex]x+y = 15\\y = 15-x[/tex]
As we got the value of y, substitute the value in the second equation,
[tex]85x+120(15-x) = 1450\\85x+1800 - 15x = 1450\\70x = 350\\x = 5[/tex]
As we have the value of x, substitute the value in the first equation,
[tex]x+y=15\\(5)+y=15\\y=10[/tex]
Hence, the number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.
Learn more about Equation:
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Find the mean of:
1.8, 1.7, 1.3, 1.1, 1.2, 1.6, 1.8
Answer: D.
Step-by-step explanation:
Solve the following linear equations a) a+7 =15
Answer:
a = 8
Step-by-step explanation:
a + 7 = 15
a + 7 - 7 = 15 - 7 Subtract 7 from both sides.
a = 8
Answer is
A = 8
Because 8 + 7 = 15
The other way to explain we need to subtract 7 ( 7 -7 = 0 and 15 - 7 = 8 ) both sides so after subtracting you will get 8
y > x + 1
y < 2x
x 2 >5
Which points are solutions to the system of inequalities shown below?
Answer:A D F
Step-by-step explanation:
Answer:
Step-by-step explanation:
See attached image.
Help asap.
Find an equation for g(x) in terms of the function f(x). For example, g(x)=10 f(9x+8)+7.
g(x)=
Answer:
g(x) = 3f(-x/2)
Step-by-step explanation:
g(x) is 3 times the height of f(x), and 2 times its width. It is also reflected over the y-axis.
The relevant transformations are ...
g(x) = k·f(x) . . . . scales f(x) vertically by a factor of k
g(x) = f(-x) . . . . . reflects f(x) over the y-axis
g(x) = f(x/k) . . . . scales f(x) horizontally by a factor of k
__
The three transformations we described at the beginning mean that g(x) is ...
g(x) = 3f(-x/2)
Translate the sentence into an inequality.
The product of y and 7 is less than or equal to - 20.
Answer:
[tex]7y \leqslant - 20[/tex]
What are the solutions of 12 - x2 = 0?
O x=2,5 and x = -2/3
O x=373 and x = -312
O x= 4/5 and x = -4/3
* x= 6 and x = -6
[tex]12 - 2x = 0 \\ - 2x = 0 - 12 \\ -2x = - 12 \\ - x = - 12 \div 2 \\ - x = - 6 ( - can \: be \: cancelled \: if \: its \: in \: both \: side)\\ x = 6[/tex]
kindly swipe right to left for full solution.
the solutions for the quadratic equation are 3.46 and -3.46
How to solve the quadratic equation?
Here we have the equation:
12 - x^2 = 0
To solve this, first, we add x^2 on both sides:
12 = x^2
Now we can just apply the square root on both sides, to get:
±√12 = x
±3.46
So the solutions are 3.46 and -3.46
If you want to learn more about quadratic equations, you can read:
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What is the range of the absolute value function below?
help ill mark brainliest
Answer:
[tex]-2\frac{1}{2}[/tex]
Step-by-step explanation:
Rewriting our equation with parts separated
=[tex]2+\frac{5}{6} -5\frac{1}{3}[/tex]
Solving the whole number parts
[tex]2-5=-3[/tex]
Solving the fraction parts
[tex]\frac{5}{6} -\frac{1}{3}[/tex]
Find the LCD of 5/6 and 1/3 and rewrite to solve with the equivalent fractions.
LCD = 6
[tex]\frac{5}{6} -\frac{2}{6} =\frac{3}{6}[/tex]
Reducing the fraction part, 3/6,
[tex]\frac{3}{6} =\frac{1}{2}[/tex]
Combining the whole and fraction parts
[tex]-3+\frac{1}{2} =-2\frac{1}{2}[/tex]
Hence, the correct answer is -2 1/2
[RevyBreeze]
Your most trustful answer
If CS = 4 and AD = 10, what is the measure of CD? Round to the nearest hundredth. Show all your work.
The measure of the length of line segment CD is; 12.8
Pythagoras theoremPythagoras theorem States that the square of the hypotenus of a triangle is equal to the sum of the square of the opposite and square of the adjacent side.
From the task content, the center of the circle is at point S and since CS = 4;
It follows that CA = 4× 2 = 8.Hence, it follows from Pythagoras theorem that;
CD = √(8² + 10²)CD = √64+100CD = √164.CD = 12.8Read more on Pythagoras theorem;
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PLS HELP OF AREA ON TRIANGLE!!!
Answer:
Area for Triangle is: 1/2bh or bh/2
Area for Trapezoid (As shown in picture):
1/2h(b1+b2)
You’d have to do 1/2 x 18(15+37) for the quesyion in the picture
Hope this helped!
Answer:
[tex] area = (\frac{1}{2} (a + b) \times h) \\ \frac{1}{2} \times (15 + 37) \times 18ft \\ \frac{1}{2} \times 52ft \times 18ft \\ divide \: 52 \: by \: 2 \\ 26ft \times 18ft = 468 {ft}^{2} \\ answer = 468 {ft}^{2}[/tex]
Train 1 travels at a constant speed of 240 miles in 3 hours. Train 2 travels 490 miles in 7 hours. Which train is faster?
Answer:
Train 1
Step-by-step explanation:
Train 1 has constant speed: 240 miles / 3 hours = 80 mph.
Train 2 has constant speed: 490 miles / 7 hours = 70 mph.
So, Train 1 is faster.
12 and 300 as decimal
Answer:
12/300 as a decimal is 0.04.
Solve for x.
4 + 3x = 16
To solve this equation we must isolate the variable.
3x = [?]
First subtract 4 from both sides of the equation.
Calculate the new value of the right side of the equation.
Step-by-step explanation:
4 + 3x =16
subtracting 4 on both sides
4-4 + 3x =16-4
0+ 3x = 12
3x = 12
x = 12/3
x= 4
Pls help with this one
Answer:
1757.5
Step-by-step explanation:
10% of $1,850 is 185
5% of 185 is 92.5
1,850 minus 92.5 = 1757.5
please mark brainliest if this helped!
Answer:
b) $1,757.50
Step-by-step explanation:
15. 1,850 * 5
1,850 * 0.05 = 92.5 (how much was discounted)
1,850 - 92.5 = $1,757.50
Hope this helps!
What is the measure of ∠A ?
help plss i need ittttt
How do I solve this?
Answer:
By using your brain? XD
Here's the answer:
2:5 of 63
2+5=7
2/7 X 63=18
5/7 X 63= 45
Tina recieves 18/63 (2/7)
Please mark as Brainliest
The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diameter of each circle is 5 feet. Approximately how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth.
15.7 square feet
19.6 square feet
42.8 square feet
78.6 square feet
Answer:
(b) 19.6 square feet
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
If the diameter is 5 feet, the radius is 2.5 feet, so the area is ...
A = (3.14)(2.5 ft)² ≈ 19.625 ft² ≈ 19.6 ft²
The area of a base circle is about 19.6 square feet.
Answer:
19.6 square feet
Step-by-step explanation:
Included in the definition of an elliptic curve is a single element denoted O and called the point at infinity or the ____ .
Answer:
Zero Point
Step-by-step explanation:
Simplify. please help!
Answer:
-3y
Step-by-step explanation:
Take the square root of each term inside the radical to get rid of the radical. The square root of 9 is 3 and the square root of y^2 is y, so the square root of 9y^2=3y. Put the negative back in front and you get -3y.
can you pls answer 1 and 2 ?? ( i am clueless how to do this )
Answer:
1: M'N'P'Q is NOT the dilation
2. UVW is the dilation
A large health care system gave all nurses a flat wage increase. A union representative sampled 50
nurses and found that the mean increase in total wages was 5.2%
with a standard deviation of 1.61.
Using a 95% confidence interval, which statement from the union best describes the wage increase for all nurses in the system?
A. The average wage increase for nurses in the system was between 3.6%
3.6% and 6.8%.
B. The average wage increase for nurses in the system was 5.2%.
C. The average wage increase for nurses in the system was 5.205%.
D. The average wage increase for nurses in the system was between 4.76%
4.76% and 5.65%.
Answer:
NOT The average wage increase for nurses in the system was between 3.6% and 6.8%.
Step-by-step explanation:
which one of the following rules describes this transformation?
Find the value of x. Round your answer to the nearest tenth.
Answer:
The value of x is 12.24
Step-by-step explanation:
Given;A right angled-triangleTo Find;The value of xNow,
tan 36 = x/17
0.72 = x/17
x = 17 × 0.72
x = 12.24
Thus, The value of x is 12.24
-TheUnknownScientist 72
I'm struggling with this question on quadratic equations and would like somebody to explain it to me. Thank you!
Hello, sorry for taking half an hour to respond.
a) If x represents the number of students in her class, we have :
The cost of a calculator on website C : 480 : x
The cost of a calculator on website D : 480 : (x+4)
b) We call the price of a calculator on website C as a, and the price on website D is a-6
Let's also call the amount of calculators if we buy on website C as d, and the amount of calculators if we buy on website D as d + 4
We have :
a.d = (a-6)(d+4)
Break the brackets out : ad = ad-6d + 4a - 24
=> -6d + 4a - 24 = 0
Divide both sides by 2
=> -3d + 2a - 12 = 0
=> 2a = 3d + 12
So, d is divisible by 3, and a is divisible by 2 => ad is divisible by 6.
And ad x the amount of students = 480
So, we can conclude that the amount of students is a factor of 80
Let's list out all of them : 1,2,4,5,8,10,16,20,40,80.
If there was 20 students :
The price of each calculator would be : 480 : 20 = 24
If it's 6 cheaper, it would be 24-6 = 18
And she would've gotten 480 : 18 (not divisible)
If you keep replacing like that, you'll eventually get the answer. I don't have time left, so the answer is 16 students. Hope it helps.
The bag contains 20 red marbles, 30 white marbles, and 40 blue marbles.
What is the ratio of red to blue marbles?
What is the ratio of white to red marbles?
Answer:
Red : Blue = 20: 40 = 1 : 2
White: Red = 30 : 20 = 3 : 2
Geometric mean between 9 and 25
Answer:
the answer is 15
The geometric mean of 25 and 9 is 15 . Example 2: ... So, the geometric mean of the three numbers is the cube root of their product.
Answer:
15
Step-by-step explanation:
the geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then
geometric mean of 9 and 25 is
[tex]\sqrt{9(25)}[/tex] = [tex]\sqrt{225}[/tex] = 15
Mike owns a skate shop. He is preparing the cash flow statement for his first year of operation. He had a beginning cash balance of $4,800, $103,000 in total cash sales, $3,500 for utilities, $2,600 in loan payments, and $5,500 for marketing cost. What is Mike's ending cash balance? Ending Cash Balance = Beginning Cash Cash Inflow – Cash Outflow Hint: Do not forget to include the comma to separate the digits and to type the $ symbol! Example: $32,100.
Mike's ending cash balance of the cash flow statement for his first year of operation is $95,400.
What is cash flow?Cash flow is defined as the report which shows the total inflow and outflow of the business for a particular financial period.
Given
Mike owns a skate shop. He is preparing the cash flow statement for his first year of operation.
He had a beginning cash balance of $4,800, $103,000 in total cash sales, $3,500 for utilities, $2,600 in loan payments, and $5,500 for marketing cost.
Total cash inflow = $4,800 + $103,000 = $107,800
Total cash outflow = $3,500 + $2,600 + $5,500 = $11,600
Then the cash flow will be
[tex]\rm Cash\ flow = \$ 107,000 - 11,600\\\\Cash\ flow = \$ 95,400[/tex]
More about the cash flow link is given below.
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A high definition radio station charges $200 membership fee for one year in addition to $50 per month for the first 6 months to receive its broadcast. The total cost for the services is determined by the number of months
Answer:
300.00$
50$ per month
6 months
50x6