Answer:
$24Step-by-step explanation:
Step one:
given data
we are told that she earned $3 every 20minute for gutter cleanup
and for mow, she earns $3.6 every 20 minutes.
Step two;
1. For a 40 minutes gutter cleanup she will make
=3*40/20
=3*2
=$6
1. For a 2 hours mow she will make
2 hours is 120 minutes
=3.6*120/20
=3*6
=$18
So in total she earned 6+18= $24
The median of the set (n, n+5, n+6, n+9, n+15) is 9. What is the mean?
HELP ME
Answer: 10
Step-by-step explanation:
tbh its too long to explain i gtg now but plz just trust me
1. The circle C has centre (5,k), where k is a constant. The line y = 2x + 1 is tangent to C at point
A (3,7). Find the equation of C.
Answer:
[tex](x-5)^2+(y-6)^2=5[/tex]
Step-by-step explanation:
Equation of the Circle
A circle centered at (h,k) and radius r can be written with the equation:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We are given the center (5,k), thus:
[tex](x-5)^2+(y-k)^2=r^2[/tex]
We know the point (3,7) belongs to the circle. This means the distance between the center and this point is the radius.
Given two points (x1,y1) and (x2,y2), the distance between them satisfies:
[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Calculating the radius, we have:
[tex]r^2=(7-k)^2+(3-5)^2[/tex]
[tex]r^2=(7-k)^2+4\qquad\qquad [1][/tex]
Now we use the fact that the line y=2x+1 and the circle are tangent at (3,7). The radius and the line are perpendicular at that point. Two perpendicular lines with slopes m1 and m2 satisfy the condition:
[tex]m_1\cdot m_2=-1[/tex]
The line y=2x+1 has a slope of m1=2, thus the slope of the segment from (5,k) to (3,7) has a slope of -1/2:
The slope is calculated as:
[tex]\displaystyle \frac{7-k}{3-5}=-\frac{1}{2}[/tex]
Operating:
[tex]\displaystyle \frac{7-k}{-2}=-\frac{1}{2}[/tex]
Multiplying by -2
[tex]\displaystyle 7-k=1[/tex]
Solving:
k=6
From [1] the radius is:
[tex]r^2=(7-6)^2+4[/tex]
[tex]r^2=1+4[/tex]
[tex]r^2=5[/tex]
Finally, substituting into the equation of the circle:
[tex]\mathbf{(x-5)^2+(y-6)^2=5}[/tex]
The graph can be seen in the figure below.
Answer:
Step-by-step explanation:
During a 60-minute period, a traffic engineer counted 66 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 3:8. The equation 3 8 = t 66 − t 3 8 = t 66 − t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted?
Answer:
18
Step-by-step explanation:
t = Number of trucks counted
c = Number of cars
Ratio of trucks to cars = [tex]\dfrac{t}{c}=\dfrac{3}{8}[/tex]
Total number of cars and truck = 66
[tex]t+c=66[/tex]
Divide the left and right side by the number of cars
[tex]\dfrac{t+c}{c}=\dfrac{66}{c}\\\Rightarrow \dfrac{t}{c}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{3}{8}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{11}{8}=\dfrac{66}{c}\\\Rightarrow c=66\times \dfrac{8}{11}\\\Rightarrow c=48[/tex]
Total number of cars is 48
so
[tex]t=66-c\\\Rightarrow t=66-48\\\Rightarrow t=18[/tex]
Total number of trucks counted is 18.
The distance from Philadelphia to Harrisburg is 5 inches on the map. The actual distance is 100 miles. The distance from Allentown to Harrisburg is 4 1/20 inches on the map. What is the actual distance, in miles, from Allentown to Harrisburg?
A.) 81 miles
B.) 405 miles
C.) 65 miles
D.) 84 miles
Answer:
A. 81 miles
Step-by-step explanation:
No rush on this one:)
The price of a shirt decreases by 13$. Which integer represents the decrease in the shirt’s price?
Answer:
-13
Step-by-step explanation:
-13 since it's going down in price
Find the distance from point A(−1, 7) to the line y=3x. Round your answer to the nearest tenth.
Answer:
The distance from the point to the line is approximately 3.2 units
Step-by-step explanation:
Distance From a Point to a Line
Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.
If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is
[tex]\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]
The line is given by the equation:
y=3x. We need to transform it into the specified form.
Subtracting 3x:
y - 3x = 0
Comparing with the general form of the line, we have
a=-3, b=1, c=0
The point (xo,yo) is (-1,7), thus:
[tex]\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}[/tex]
[tex]\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}[/tex]
[tex]\displaystyle d= \frac{|10|}{\sqrt{10}}[/tex]
[tex]\displaystyle d= \frac{10}{\sqrt{10}}[/tex]
[tex]d\approx 3.2[/tex]
The distance from the point to the line is approximately 3.2 units
A certain cookie recipe calls for 2 cups of flour to make one batch of cookies. Which graph best
represents the relationship between the amount of flour and the number of batches of cookies that
can be made using this recipe?
Answer:
1 cup of flower makes 1/2 a batch of cookies
Step-by-step explanation:
2 divided by 2 is 1
1 divided by 2 is 1/2
A biker cycles 9 miles in 2 3 of an hour. b The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)
Answer:
27/2
Step-by-step explanation:
Hope this helps! Also dont add comments to get gems like bruh ;-;
Answer: 27/2
Step-by-step explanation:
[tex]9\cdot \:1=x\frac{2}{3}[/tex]
[tex]x\frac{2}{3}=9\cdot \:1[/tex]
[tex]x\frac{2}{3}=9[/tex]
[tex]3x\frac{2}{3}=9\cdot \:3[/tex]
2x= 27
x= 27/2
Add Me Brainliest!
Need help with this pls
Answer:
hi
Step-by-step explanation:
hi
빠IHO
4. Find 39% of 65.
What is the answer
URGENT! What is the value of x?
Enter your answer in the box.
(MAKE SURE IT’S THE CORRECT ANSWER)
Answer:
48 degrees
Step-by-step explanation:
Plz help!! Ty
A (2-7)
B. (1-6)
C. (5,0)
D. (0,-7.5)
Answer:
i have a feeling it is C because the lines intersect at (5,0)
b+b-1+b+b+10=___b+9
whats the blank spot??
The last time Aiden played baseball, he hit the ball 35% of the times he was at bat. Based on this information, how many times will Aiden hit the ball the next time he plays baseball if he is at bat 20 times?
Answer:
the number of times will Aiden hit the ball is 7
Step-by-step explanation:
The computation of the number of times will Aiden hit the ball is shown below:
She hit 35% of the times
i.e.
= Given percentage of number of times
= 35% of 20
= 35 ÷ 100 × 20
= 0.35 × 20
= 7
Hence, the number of times will Aiden hit the ball is 7
We simply applied the above formula so that the correct value could come
The same is to be considered
15. Which expression has the greatest value?
A. 142-(-172)
B. 1 12+ -1 12
C. -142 - (-14)
D. 142
Answer:
i think that its D
Step-by-step explanation:
hopes this helps
Pls help i will mark brainliest シ♡︎
Answer:
D:95 mm Hg
Step-by-step explanation:
Using the linear model, y=x+95, x represents the age and y represents the blood pressure.
For a newborn, x=0 this gives us
> y=0+95 = 95<
Answer: 1mm hg per year
Step-by-step explanation:
Guys can you plz help me Answer this QUESTION!!!!!!
Answer:
C - 9
Step-by-step explanation:
pls give branliest
What are some reasons to live I could use them right now
Answer:
mom will be sad
Step-by-step explanation:
YOU ARE A BEATIFUL AND AMAZING PERSON DONT DIE ON ME LIKE THIS
The temperature at midnight was −11°C. By midday, the temperature was 5°C.
What was the temperature during the morning?
Explain what method you used to find the temperature change.
Answer:
-3 celcius
Step-by-step explanation:
Answer:
6 ℃
Step-by-step explanation:
by substacring u will see it
Which of the following shows 2.736 correctly rounded to the tenths place?
2.74
2.7
2.8
3
Answer:
2.7
Step-by-step explanation:
The 3 does not round up the 7, so it stays as 2.7
Answer:
2.7
Step-by-step explanation:
the tenths place is the first number after the decimal. When rounding numbers 5 and higher can increase the number next to it by 1. So 2.736 becomes 2.74 then becomes 2.7 as the 4 is not able to round the number since it is below 5.
On your last math quiz, you got 15
out of 20 questions correct. What is
your percentage of correct answers?
Answer: 75%
Step-by-step explanation: So 15/20 simplified is 3/4 and 3 divided by 4 equals 0.75. To convert a decimal to a percentage, you multiply 0.75 by 100 to get 75%.
I have 1 word problem and a math problem. (word prob)A light-year is the distance that light travels in a year and is equivalent to 9.461 * 10^12. Write this distance in standard form.
(math prob) Order the list of numbers from least to greatest.
8.5*10^12,3.6*10^8,5.85*10^-3, 2.5*10^-1,8.5*10^8. ( This ^ means there are square roots for the numbers).
My math class is real soon. Pls, answer them. Thanks!!
Answer:
1. 9461000000000
move the desimal in 9.461 12 places to the right to get:
9461000000000
2.
5.85 x 10^-3,
2.5 x 10^-1,
3.6 x 10^8,
8.5 x 10^8,
8.5 x 10^12
the smallest exponent is the smallest. Since 8.5 x 10^8 and 3.6 x 10^8 have the same exponent, go to the desimal
Complete the following statement.
24 ft = in.
Answer:
288
Step-by-step explanation:
1 foot= 12 inches
24x12=288
Answer:288
Step-by-step explanation:24x12=288 hope this helps
HEELLLPP MEEEE PLZZZZ!!!!!
Use the distance formula to find base and height.
What is the formula for the area of this triangle?
Answer:
A = h b/2
Step-by-step explanation:
Answer:
J =6,L=5,K=3
Step-by-step explanation:
this is kinda hard to do bur I'll try to do it.
Evaluate each value expression for the given value of x : 22-x/5 , x=20
HURY!!!!!!!!!!!
Answer:
10 maybe sorry if wrong
Step-by-step explanation:
22-x x=20 so that should be 2 then u do 2x5 =10
You have put ₹ 2500 in your bank account. After some years, you observe that you have received interest and the amount now is ₹ 4100. What is the percentage of increase?
Answer:
64%
Step-by-step explanation:
The first step is to calculate the increase
= 4100-2500
= 1600
Therefore the percentage increase can be calculated as follows
= increase/original number × 100
= 1600/2500 × 100
= 0.64 × 100
= 64%
Hence the percentage increase is 64%
It takes Mark 1 hour to get to work each day. Mark drives from home 20 minutes to the train station at a constant rate of 42 mph. He then takes the train, traveling at a constant 60 mph, the remaining distance to work. How far does Mark live from his work place? A. 108 mi. B. 80 mi. C. 62 mi. D. 54 mi.
PLEASE HELP QUICK
Answer:D.54
Step-by-step explanation: it takes 20 minutes in the car which is 1/3 of an hr so 42/3= 14 then that leaves 40 minutes left for the train which is 2/3 of 60 and 60/3=20 and 20x2= 40 so 40+14=54
Answer:
D. 54
Step-by-step explanation:
Give the guy above brainliest
ANSWER ASAP PLEASE AND SHOW YOUR WORK!!!!
Algebraically determine whether the following function is Even, Odd, or Neither.
f(x)= x^3-2x
Answer:
f(-x)= -f(x) so, the given function [tex]f(x)= x^3-2x[/tex] is Odd
Step-by-step explanation:
We need to determine if the function [tex]f(x)= x^3-2x[/tex] is Even, Odd, or Neither.
Determining if a function f(x) is even or not we put x=-x and check
If f(-x)=f(x) the function is even
if f(-x)= -f(x) the function is odd
So, Putting x =-x and determining if the given function [tex]f(x)= x^3-2x[/tex] is Even, Odd, or Neither.
[tex]f(x)= x^3-2x\\Put \ x=-x\\f(-x)=(-x)^3-2(-x)\\f(-x)=-x^3+2x\\f(-x)=-(x^3-2x)\\f(-x)=-f(x)[/tex]
As f(-x)= -f(x) so, the given function [tex]f(x)= x^3-2x[/tex] is Odd
Which ordered pairs are NOT a solution of y = 2x + 1? Select all that apply. (3, 7) (3, 7) (0, 1) (0, 1) (-1, 1) (-1, 1) (-3, -5) (-3, -5) (-2, 3)
Answer:
The ordered pairs are;
(-1,1) and (-2,3)
Step-by-step explanation:
Here, we want to select which ordered pair is not a solution to the given equation
The one that will not be a solution will be a point at which if we insert the x-value into the equation, we do not get the y-value at that point
For (3,7
2(3) + 1 = 7
For 0,1
2(0) + 1 = 1
For (-1,1)
= 2(-1) + 1 = -2 + 1 = -1
This is wrong
(-3,-5)
= 2(-3) + 1 = -6 + 1 = -5
(-2,3)
= 2(-2) + 1 = -4 + 1 = -3
This is wrong also