Answer:
3 3/5 lawns
Step-by-step explanation:
First you have to figure out how much of a lawn he mows in 1 hour. He mows 0.6 of a lawn in one hour.
Next, you multiply 0.6 by 6 to get your answer.
Your answer is 3 3/5 lawns.
Answer:
4
Step-by-step explanation:
Solve this simultaneous e
x + y = 26
3x + y = 56
Answer:
x= 15 and y= 11
Step-by-step explanation:
The goal here is to solve
x + y =26 and
3x + y =56 for the variables x and y.
First, let's work on your first equation, x + y =26
After this initial survey of the equations, the system of equations we'll set out to solve is:
x+y = 26 and 3x+y = 56
Let's start by solving x+y = 26 for the variable x.
Move the y to the right hand side by subtracting y from both sides, like this:
From the left hand side:
y - y = 0
The answer is x
From the right hand side:
The answer is 26-y
Now, the equation reads:
x = 26-y
To isolate the x, we have to divide both sides of the equation by the other variables
around the x on the left side of the equation.
and this is the final solution to your equation.
Next, let's solve 3x+y = 56 for the variable y.
Move the 3x to the right hand side by subtracting 3x from both sides, like this:
From the left hand side:
3x - 3x = 0
The answer is y
From the right hand side:
The answer is 56-3x
Now, the equation reads:
y = 56-3x
To isolate the y, we have to divide both sides of the equation by the other variables
around the y on the left side of the equation.
and this is the final solution to your equation.
Now, plug the earlier result, x=26-y, in for x everywhere it occurs in
y=56-3x.
This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.
26-y evaluates to 26-y
Multiply 3 by 26-y
we multiply 3 by each term in 26-y term by term.
This is the distributive property of multiplication.
Multiply 3 and 26
1
3 × 26 = 78
Multiply 3 and -y
Multiply 1 and y
The y just gets copied along.
y
3 × -y = -3y
3*(26-y) evaluates to 78-3y
56 - 78 = -22
The answer is -22+3y
56-3*(26-y) evaluates to -22+3y
Move the 3y to the left hand side by subtracting 3y from both sides, like this:
From the left hand side:
y - 3y = -2y
The answer is -2y
From the right hand side:
3y - 3y = 0
The answer is -22
Now, the equation reads:
-2y = -22
To isolate the y, we have to divide both sides of the equation by the other variables
around the y on the left side of the equation.
The last step is to divide both sides of the equation by -2 like this:
To divide y by 1
The y just gets copied along in the numerator.
The answer is y
-2y ÷ -2 = y
-22 ÷ -2 = 11
The solution to your equation is:
y = 11
Lastly, to find the solution for x, we plug this answer for y into the earlier result that
x=26-y.
This gives x=26-(11). Now, simplify this.
26-(11) evaluates to 15
x= 15
So, the solutions to your equations are:
x= 15 and y= 11
Answer:
(15, 11 )
Step-by-step explanation:
Given the 2 equations
x + y = 26 → (1)
3x + y = 56 → (2)
Subtract (1) from (2) term by term to eliminate y, that is
2x = 30 ( divide both sides by 2 )
x = 15
Substitute x = 15 into either of the 2 equations and solve for y
Substituting into (1)
15 + y = 26 ( subtract 15 from both sides )
y = 11
solution is (15, 11 )
James borrows $4,200 to pay his college tuition. He signs a 5-year simple interest loan. If the monthly payments are $78.40, what is the interest rate on the loan?
Answer:
2.4%
Step-by-step explanation:
Total amount of payments:
5 years * 12 months/year * $78.40/month =
= $4704.00
Amount of interest paid in 5 years:
$4704 - $4200 = $504
Amount of interest paid in 1 year:
$504/5 = $100.80
Annual percent rate of interest:
$100.80/$4200 * 100% = 2.4%
Answer: 2.4%
If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?
Answer :
R = 6.25%
Solution,
Let P is the principal. It means interest will be :
I=3/8 P
The formula for the interest is given by :
[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]
Hence, the rate of interest is 6.25%.
possible number of extrema a 4th degree polynomial could have is:
A. 3 or 1 extrema
B. 4 or 2 extrema
C. 5 extrema
D. none
Answer:
A
Step-by-step explanation:
? QUESTION
Laura is saving money to buy a bike that costs $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money
to buy the bike?
Answer:
13
Step-by-step explanation:
125 - 60= 65
65/5= 13
itll take her 13 weeks
The length of a rectangle is 4 more than twice the width length. The perimeter is 28. What is the LENGTH?
Answer:
10[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Let the width length be x.
Width length = x
Length = 2x + 4
Perimeter = width + length + width + length
= x + 2x + 4 + x + 2x + 4
= 6x + 8
6x + 8 = 28
6x = 28 - 8
= 20
x = 20 ÷ 6
x = 3[tex]\frac{1}{3}[/tex]
Length (2x + 4) = 2(3[tex]\frac{1}{3}[/tex]) + 4
= 6[tex]\frac{2}{3}[/tex] + 4
= 10[tex]\frac{2}{3}[/tex]
There are 32 desks in a room,
If x represents the number of rows of desks, which expression would equal the number of desks in each row?
32 x
32-x.
32 +x
32/x
The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.
Given that, there are 32 desks in a room.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Now, x represents the number of rows of desks.
The number of desks in each row = Total number of desks in a room / The number of rows of desks
= 32/x
The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.
To learn more about an expression visit:
https://brainly.com/question/13947055.
#SPJ5
A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while travelling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.
Answer:
18 miles / hour
given that 16 ounces equal 1 pound , how many ounces are in 6.7 pounds
Answer:107.2
Step-by-step explanation:
Answer:
107.2
Step-by-step explanation:
6 x 16 = 96
.7 x 16 = 11.2
add them to get 107.2
which number line correctly graphs the numbers in the list?
Answer:
the first option
Step-by-step explanation:
2/3y + 1 =1/6y + 8
y = ?
Answer:
21
Step-by-step explanation:
solved it
Which of the following slopes of a line passes through points (2, 3) and (4,7) ?
5
2
3
O
Answer:
2
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (7 - 3)/(4 - 2)
slope = 4/2 = 2
Answer: 2
Can someone help with this please?
Answer:
n=11
Step-by-step explanation:
By inspection,we see that an output is obtained by subtracting 3 from an input and the next consecutive output will follow a pattern of a difference of odd numbers that is 9+5=14
so n=14 and 14-3=11
What does the arrow represent?
Bouncing a Ball Height ha 0 Time
a. the ball is hitting the ground for the first time
b. the ball has hit the ground for the third time and is rising
c. the ball has reaches the maximum height of the first bounce
d. the ball has been thrown and is traveling towards the ground
Answer:
b number is the correct answer of the question
Answer:its a
a
Step-by-step explanation:
PLS ITS A TEST ILL GIVE BRAINLIEST the equation is y = -3x + 2
y=x-6
which one of these is a rational number
A. square root of 9/2
B. square root of 13/16
C. square root of 34
D. square root of 49
What is the answer I need help pls
Answer:
The answers are,
-3, -7
-2, 4
0, 2
2, 8
3, 11
Step-by-step explanation:
You just plug in the domain values into the equation and solve for f(x), so your domain number is your x value and the y value(f(x) value) is the answer
A large pot of water is heating up on a stove at a constant rate. After three minutes of heating it had a temperature of 100 ℉. After nine minutes of heating the temperature was at 148 ℉. Let T be the temperature and n be the number of minutes. Write a linear equation for T in terms of n.
Answer:
Given function:
y=9.5x+62.1
We have to find the number of minutes x, when y=138.1°F
Put value of y in function.
138.1=9.5x+62.1
Subtract 62.1 from both sides.
76=9.5x
Divide both sides by 9.5.
8=x
or
x=8 minutes
Answer: After 8 minutes the temperature of water will be 138.1°
Step-by-step explanation:
Answer:
T= 8n+76
Step-by-step explanation:
First you need to find the average rate of change:
( 3, 100)
(9,148)
Subtract:
148-100= 48
9-3= 6
Then divide them:
48/6=8
This is your slope, now we must find our y- intercept by using the formula
y= mx+b:
y=mx+b
Plug in what you know:
y= 8x+b
To find your y-intercept use one of the 2 points above, either (3,100) or (9,148)
Plug in your x's and y's into your almost complete equation:
100= 8(3)+b
Then solve to get b:
You should get b=76
Hope this helps
Identify the slope and y intercept of the function y= -5x + 4.
A. The slope is 4.
The y-intercept is (0,5).
B. The slope is 4.
The y-intercept is (0, -5).
C. The slope is -5.
The y-intercept is (0,4).
D. The slope is 5.
The y-intercept is (0,4).
Formula of slope:
y=mx+b
Answer:
C.
Answer:C. The slope is -5.
The y-intercept is (0,4).
Step-by-step explanation:
A. The slope is 4.
The y-intercept is (0,5).
B. The slope is 4.
The y-intercept is (0, -5).
C. The slope is -5.
The y-intercept is (0,4).
D. The slope is 5.
The y-intercept is (0,4).
I GIVE BRANLILSET
Maddie prepared 24 kilograms of dough after working 6 hours. How many hours did Maddie work if she prepared 40 kilograms of dough? Assume the relationship is directly proportional.
Answer:
10 hours
Step-by-step explanation:
24kg dough/6 hours = 4kg dough/hour
4kg dough / 1 hour
*10 *10 (multiply both sides by 10)
---------------------------
40kg dough/10hrs
The price of a 40-inch television is $268 plus 8% sales tax rate. What is the amount of the sales tax for the television, in dollars and cents?
Whats the slope of the line?
Answer:
-4,5
Step-by-step explanation:
There are two ways you can figure it out.
One way is to choose any two distinct points (x1,y1) and (x2,y2) on the line then use the slope formula below to find the slope m.
m=y2−y1x2−x1. So your points are (-2,2) and (-2,3)
So you need to find the y and x coordinates-
Should I continue explaining? Or r u good?
These points are linear. Find the slope.
Answer:
5
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 10) and (3, 15).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{15-10}{3-2}[/tex]
= 5
Which graph best represents the equation y= 2/5x + 3
Answer:
I it is the one on the bottom.
Step-by-step explanation:
Use the following function rule to find f(-7).
f(x) = 9x - 7
O 70
O-56
0 -70
56
If the store paid $75 for a clarinet and sold it for $100, did the store mark up the price by 30%?
Answer:
No
Step-by-step explanation:
30% of $75 is $22.50 (0.3×75=22.5)
$75+$22.50=$97.50, not $100
So, the store did not mark up the price by 30% because the original price ($75) plus 30% more does not equal $100.
Answer:
no
Step-by-step explanation:
A decking company estimates how many gallons of stain each deck requires before starting construction. Apart from knowing the total area of each deck, which additional quantity will allow the decking company to make an accurate estimation
Answer:
Concept: Engineering Statistics
To make accurate estimations they need the total volume of the area.Hence they need the area coverage by the selected stain.Solution: Are covered by each gallon of stain This provides an accurate representation to a significant figure.HELP PLEASE THIS IS DUE TODAY 50 POINTS
Answer:
the answer is x over -2 × 14
Answer:-2,2 -7,7 -14,14 0,0
Step-by-step explanation:im not really good at this but i tried and i oped it worked
I need this done quick pls.
Answer:
58º
Step-by-step explanation:
The sum of a triangle's interior angles is 180º. We know two interior angles, and we can solve from there: 180-(65+57)=180-65-57=180-180-122=58.
For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 17
2. 12.7
3. 11
4. 12.2
Answer:
12.7
Step-by-step explanation:
[tex] \sin \: 42 \degree = \frac{x}{19} \\ \\ 0.6691306064 = \frac{x}{19} \\ \\ 0.6691306064 \times 19 = x \\ \\ x = 12.7134815 \\ \\ x \approx 12.7[/tex]