Kerry will earn $244.50 in total.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Kerry charges $25.50 per lawn to cut grass on Saturdays
and $28.50 per lawn to cut grass on Sundays.
If 4 lawns cuts in Saturday then the charges would be
=25. 50 x 4
=102
and, If 5 lawns cuts in Sunday then the charges would be
=28. 50 x 5
=142.5
Hence, the total she will earn 244.50.
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Randy is four times as old as Kenneth and Randy is 36 years older than Kenneth
i) How old is Kenneth?
ii) How old is Randy?
Answer:
Kenneth: 12 years old
Randy: 48 years old
Step-by-step explanation:
For this problem, we can use system of equations to solve. Let's use r for Randy and k for Kenneth.
Equation 1
r=4k
This equation comes from the first part, where Randy is four times as old as Kenneth.
Equation 2
r=36+k
This equation comes from the second part, where Randy is 36 years older than Kenneth.
Since we have r=, we can use substitution method.
4k=36+k [subtract both sides by k]
3k=36 [divide both sides by 3]
k=12
Now that we have found k, we can plug that into any equation to find r.
r=4(12) [multiply]
r=48
Now, we know that Randy is 48 years old and Kenneth is 12 years old.
How do I rewrite a quadratic into graphing form
Step-by-step explanation:
Standard form of a quadratic is f(x) = ax² + bx + c.
To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).
Then, plug back into the equation to find the y-coordinate of the vertex. k = f(h).
Finally, the leading coefficient is the same as the standard form, a.
f(x) = a(x − h)² + k
Another method is to complete the square.
Find the distance between each pair of points (-6,-10) , (-2,-10)
Answer:
4 units
Step-by-step explanation:
Use the distance formula, d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex], where (x1, y1) and
(x2, y2) are 2 points
Plug in the points given
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
d = [tex]\sqrt{(-6 + 2)^2 + (-10 + 10)^2}[/tex]
d = [tex]\sqrt{(-4)^2 + (0)^2}[/tex]
d = [tex]\sqrt{16 + 0}[/tex]
d = [tex]\sqrt{16}[/tex]
d = 4
So, the distance between the points is 4 units
The distance between each pair of points (-6,-10) , (-2,-10) is 4 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The points are (-6,-10) , (-2,-10)
Using distance formula:
[tex]\rm d=\sqrt{(-2-(-6))^2+(-10-(-10))^2}[/tex]
d = √16
d = 4 units
Thus, the distance between each pair of points (-6,-10) , (-2,-10) is 4 units after using the distance formula.
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can someone help me? help
Answer:
Step-by-step explanation:
Remove the brackets
3x*x^2 - 5x*3x + 3x*1 - 2x^2+3x -7
Combine
3x^3 - 15x^2 + 3x - 2x^2 + 3x - 7
3x^3 17x^2 +6x - 7
Find k so that the line through(k-1,k+2) and (4,-1) is perpendicular to the line through (-3,2) and (2,5).
Answer:
k = 2
Step-by-step explanation:
Perpendicular lines have slopes opposite reciprocalFormula to find a slope:
m = (y₂-y₁)/(x₂-x₁)Coordinates of the first line:
(k-1, k+2) and (4, -1)Coordinates of the second line:
(-3, 2) and (2, 5)Slopes of the lines:
m₁ = (-1 - k -2)/(4 - k + 1) = - (k + 3)/-(k -5) = (k + 3)/ (k - 5)m₂ = (5 - 2)/ (2 + 3) = 3/5Since m₁ = - 1/m₂, we have:
(k + 3)/ (k - 5) = - 5/33(k + 3) = -5(k - 5)3k + 9 = - 5k + 253k + 5k = 25 - 98k = 16k = 2So the answer is 2
Classity 2 and 1 using all relationships that apply.
Supplementary
Vertical
Complementary
Adjacent
Linear Pair
7
Pls help
Answer:
Vertical Angles
Step-by-step explanation:
Vertical Angles are the angles opposite each other when two lines cross.
It is found that angle 2 and angle 1 are vertically opposite angles.
What is vertically opposite angles?The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Thus, Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
Also, When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.
WE have to Classity 2 and 1 using all relationships that apply.
Therefore, we can see that angle 2 and angle 1 are vertically opposite angles.
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P + 4 Solve for p
--------- = 5
6
Answer:
p = 26
Step-by-step explanation:
(p+4)/6 = 5
Multiply each side by 6
(p+4)/6 *6 = 5*6
p+4 = 30
Subtract 4 from each side
p+4-4 = 30-4
p = 26
Find the missing term in the pattern. 2,8, 27, 85, 260, ___, 2365
Answer:
260 x 3 + 6 = 786Step-by-step explanation:
2 x 3 + 2 = 8
8 x 3 + 3 = 27
27 x 3 + 4 = 85
85 x 3 + 5 = 260
and so on..........
A diver descends 90 feet in 5 minutes. What is the
diver's change in depth per minute?
Answer:
18 feet/min
Step-by-step explanation:
Divide 90/5 to find the diver's change in depth per minute 18 feet per minute is the answerConvert 10 mL/sec to L/min
Step-by-step explanation:
1000 mL = 1 L
10 mL = 1/1000 × 10 = 0.01 L/sec
60 sec = 1 min
1 sec = 1/60 min
0.01 L/sec
= 0.01 L × 60
= 0.6 L/min
10 mL/sec = 0.6 L/min
Is this a function yes or no
Answer:
yes
Step-by-step explanation:
I think so
A local church has a rectangular fellowship room that it will expand by increasing the
length by 20 feet to form a larger rectangle. If the current dimensions of the room
are unknown, write an algebraic expression for the perimeter of the new room.
Answer:
perimeter of new room = 2[(l+20)*b]
Step-by-step explanation:
Write the word phrase for the equation 7x + 10 = 14 divided by x
Step-by-step explanation
ten plus x multiplied by seven is equal to fourteen divided by X
Javier used the expression below to represent his score in a game of mini-golf.
3x + x + 5 – 2x
If he simplifies the expression, which statements are true about the parts of the simplified expression? Select three options.
Answer:
I don't get it
Step-by-step explanation:
Which fraction has a decimal equivalent that is a repeating decimal?
a
141/47
b
19/3
c
13/65
d
11/19
Answer:
b.......19/3...I. guess
A line with a slope of 1/7 passes through the points seven and one what is it equation in slope intercept form
Answer:
y=1/7x
Step-by-step explanation:
Plug into Point slope form:
y - 1= 1/7( x -7)
y -1 = 1/7 x -1
y -1 +1 = 1/7x -1 +1
y= 1/7x
8. Why is it NOT useful to view science as a set of facts?
This is my honest opinion
Science is not just facts. Science, to me, is full of theories and hypotheses that can be proved wrong. Yes, a majority of it is actually factual, but in the future it may or may not be true.
I hope it helps.
Please help it would help out alot
Answer:
p = 2mr+q
Explanation:
You have to get p by itself. Multiply each side by r. Then add q to each side. You should get 2mr + q = p.
The sum of two numbers is 4 and the difference is -6. What is the product of the two numbers?
Answer: 4
Step-by-step explanation:
the sum of two numbers is 4
the two numbers are 2
2+2=4-6
hope this helps
plz mark brainliest
16x^3
And divide
10x^1
Answer:
8x^3/5
Step-by-step explanation:
Evaluate the exponent
16x^3/10
Factor 2 out of 16x^3
2(8x^3)/10
Cancel the common factors
Factor 2 out of 10
2(8x^3)/2(5)
Cancel the common factor
(8x^3)/5
Rewrite the expression
8x^3/5
I hope this helps! :)
How does a whale fall community affect ocean sediment? The decomposition of the whale enriches the sediment. The remains of the whale pollute the sediment. The sediment is transformed into food for mussels and crabs. The bacteria that are attracted break down the sediment nearby.
Answer:
The decomposition of the whale enriches the sediment.
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
I just took the test and it was correct
hopefully this helps you :)
pls mark brainlest ;)
38503.45 in standard form
Hey there!
ANSWER:[tex]38503.45[/tex]EXPLANATION:38503.45 in standard form.
The decimal 38503.45 is already in standard form. Try multiplying [tex]38503.45[/tex] by [tex]10^0[/tex].
[tex]38503.45*10^0=38503.45\\38503.45(ANSWER)[/tex]
The answer is the same as the decimal. That is because it was already in the standard form.
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Plzzz help!!!! DUE TODAY!!!!! IM DESPERATE!!! WILL GIVE BRAINLIEST!!!!!! Use the values x=−0.5, 0, 1 to prove your solution to the equation 5+x−12=2x−7. In your final answer, include all of your calculations.
5+x-12=2x-7
x=0.5
5+0.5-12=2(0.5)
In which expression should the exponents be multiplied? (4 points)
25 PTS: This is pretty simple, I tried to ask my maths teacger for help but she was very vague and i am still stuck.
Answer:
Both RSA and AST measure 27.1
Step-by-step explanation:
Since SA, "bisected" (split in half by equal parts) angle RST, the RSA and AST is equal
therefore 54.2 / 2 =27.1
Bisect- means the segment halved/split the angle into 2 equal parts
(7x7x7x7x7x7x7)-3x-3x-3
Answer:
823516
Step-by-step explanation:
hope this helps
Answer:
7^7 times -3^3, or -22235661
Step-by-step explanation:
A scale drawing of a school bus has a scale of 1 inch to 10 feet. If the length of the school bus is 2 1/2 inches on the drawing, what is the actual length of the bus?
Answer: 25 feet
Step-by-step explanation:
Answer:
25 feet
Step-by-step explanation:
10 times 2 is 20 and half of 10 is 5 so 20 and 5 = 25
Determine the slope of a line containing the points
C (1,8) and D (3, 3). Write your answer in the form of a
fraction.
Answer:
The answer is
[tex] - \frac{5}{2} [/tex]Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{y _{2} -y _{1}}{x _{2} - x _{1}} [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C (1,8) and D (3, 3)
The slope is
[tex]m = \frac{3 - 8}{3 - 1} = \frac{ - 5}{2} [/tex]We have the final answer as
[tex] - \frac{5}{2} [/tex]Hope this helps you
Answer:
-5/2
Step-by-step explanation:
the answer is
Linear function that are proportional always pass through what point
Answer: Directly proportional relationships they always pass through the origin (0,0). There are other linear relationships that dont pass through the origin.
Two angles are supplementary and have equal measures. What must
the measure of each angle be?
Answer:
These angles are called angle pairs. ... Supplementary angles are two angles whose sum is equal to \begin{align*}180^\circ\end{align*}. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees.
Step-by-step explanation:
Hope this helps you <3