Answer:
First dropbox: 7h + 43 = 64
Second dropbox: $3
Step-by-step explanation:
Here's what we know about the question so far:
$43 is the initial fee
The rototiller worked for 7 hours
$64 is the total cost (including initial fee)
h = hourly fee
The answer should be 7h + 43 = 64 because:
- It includes the initial fee of $43
- It sets the equation equal to $64, which is the total cost
- The hourly fee is being multiplied with 7 hours, which is correct since the h variable is hourly (not sure how to explain this part ;w; )
For the 2nd drop box, we will use basic algebra to solve for h:
7h + 43 = 64
(subtract both sides by 43)
7h = 21
(divide both sides by 7)
h = 3
There's your 2 answers!
Hope it helps (●'◡'●)
 Jack is a discus thrower and hopes to make it to the Olympics some day. He has researched the distance (in meters) of each men's gold medal discus throw from the Olympics from 1920 to 1964. Below is the equation of the line of best fit Jack found.
y
=
0.34
x
+
44.63
y=0.34x+44.63
When calculating his line of best fit, Jack let x represent the number of years since 1920 (so x=0 represents 1920 and x=4 represents 1924).
Using the line of best fit, estimate what the distance of the gold medal winning discus throw was in 1980.
44.63 meters
717.83 meters
65.03 meters
71.83 meters
X would be the number of years between 1920 and 1980:
1980-1920 = 60 years.
Replace x with 60 and solve:
Y = 0.34(60) + 44.63
Y = 20.4 + 44.63
Y = 65.03
Answer: 65.03 meters
gordon types 1,972 words in 29 minutes
Gordon types _______ words per minute
PLSSS HELPP ME
Answer:
68 words
Step-by-step explanation:
To find how many words Gordon types per minute :
1972 ÷ 29 = 68 #
Ray is making his reward winning lemonade recipe for a party he is comparison shopping for lemons at super pioneer supermarket he can buy 4 lemons for 1.60 ray visits keyfood and found 3 lemons cost 1.80 use the table below to compare the values
Step-by-step explanation:
Super Pioneer:
If at the Super Pioneer Store he can get 4 lemons for 1.6 dollars, 1 lemon should cost:
4: 1.6
1:. X
4x = 1.6
X = 1.6/4
X = 0.4
1 lemon costs 0.4 dollars
How many lemons could we get from $2.4?
1 : 0.4
X : 2.4
0.4x = 2.4
X = 2.4/0.4
X = 6
2.4 dollars would get you 6 lemons
8 lemons would cost= 8x0.4 = $3.2
Keyfood Supermarket
3 lemons cost 1.8$, so how mucb does 1 lemon cost?
3: 1.8
1 : X
3x = 1.8
X = 1.8/3
X = 0.6
If 1 lemon costs 0.6, how many lemons could you buy from $3?
1: 0.6
X : 3
3 = 0.6x
X = 3/0.6
X = 5
If 1 lemon cost 0.6$, 8 lemons would cost:
8 x 0.6 = $4.8
(I have also edited the answers on the table, but sorry if they seem a bit messy)
Answered by G a u t h m a t h
누가 좀 도와주세요 help
[tex] \sin(36) - \cos(54) \\ \tan(80) - \cot(10) [/tex]
Answer:
Step-by-step explanation:
Sin (90 - ∅) = Cos ∅
90 -54 = 36
Sin 36 = Sin (90 - 54)
= Cos 54 --------->(I)
Now, Sin (36) - Cos (54) = Cos 54 - Cos 54 {From 1}
= 0
2) tan (90-∅) = Cot ∅
Tan 80 = Tan (90 - 10)
= Cot 10 ----------(II)
Tan 80 - Cot 10 = Cot 10 - cot 10 -----------(from (II)}
= 0
Are you korean?
≧∇≦
ฅ'ω'ฅ
i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have. (Hint: one is the other simplified)
Answer:
(N)0.05 + (17-N)0.1 = M; M = amount of money I have.
Or 1.7-0.05N = M.
Step-by-step explanation:
What is the base area of the cone?
Answer:
Step-by-step explanation:
In order to find the area of the circle base, we need the radius, and we don't have it. We'll use the volume to find the radius, as follows:
[tex]V=\frac{1}{3}\pi r^2h[/tex] and fill in the givens:
[tex]75=\frac{1}{3}\pi r^2(5)[/tex] and solve that for r;
[tex]r=\sqrt{\frac{3(75)}{5\pi} }[/tex] so
r = 3.784698783 and plug that in for the radius to find the area of the circle base:
[tex]A=\pi r^2[/tex] so
[tex]A=\pi (3.784698783)^2[/tex] gives you that
A = 45 meters squared, exactly. No decimal.
Solve for x. Solve for x.
Answer:
4√3
Step-by-step explanation:
This is a right triangle. When two sides are given in a right triangle, we need to use the Pythagorean Theorem to solve for the third side.
Pythagorean Theorem: a² + b² = c²
The a here is 11, while the b is x. The c is always the hypotenuse (the longest side), which is 13.
Now we substitute:
11² + x² = 13²
121 + x² = 169
-121 -121
x² = 48
√x² = √48
x = √48 <-- We can simplify that.
√48 = 12 * 4 = 3 * 4 * 4 = 4√3
Hello !
Answer:
[tex]\boxed{\sf x=4\sqrt 3}[/tex]
Step-by-step explanation:
It is a right-angled triangle. To find the value of x, we will have to use the Pythagorean theorem which says that the lengths of the sides of a right-angled triangle satisfy the following equality :
[tex]\boxed{\sf c^2=a^2+b^2}[/tex]
Where :
c represents the length of the hypotenuse.a,b represents the lengths of the other two sides.In this triangle, we can consider a = 11, b = x, and c = 13.
Let's substitute the values of a, b, and c into the formula.
[tex]\sf 13^2=11^2+x^2[/tex]
Now we have to solve the equation to find the value of x.
Let's subtract 11² from both sides and calculate.
[tex]\sf 13^2-11^2=11^2-11^2+x^2\\x^2=13^2-11^2\\x^2=169-121\\x^2=48[/tex]
Reminder : if x² = a (a ≥ 0), then x = ±√a.
Let's apply that to our equation.
[tex]\sf x=\pm \sqrt{48}[/tex]
x represents a distance, it must be positive. The unique solution is:
[tex]\sf x=\sqrt{48}\\\boxed{\sf x=4\sqrt 3}[/tex]
Have a nice day ;)
Calculate using order of operations.
7.8+6.2×(4-1.5)×4
Answer:
I believe that the answer is 69.8
I need help ASAP!!! Please explain how to solve the answer.
Answer:
Does the answer help you?
Please choose my answer as a brainliest answer and please rate.
It take a few minutes to solve your question.
A heron can travel an average of 400 km in 10h. What is the rate of change of distance?
Rate of change of distance is also known as speed.
Given,
Distance (s) = 400km = 400 × 1000m = 400,000m
Time (t) = 10h = 10 × 3600s = 36,000s
We know that,
Speed (v) = Distance/Time
[tex]=> v = \frac{s}{t} \\ => v = \frac{400000m}{36000s} \\ => v = \frac{400m}{36s} \\ => v = \frac{100m}{9s} \\ => v = \frac{100}{9}m {s}^{ - 2} \\ [/tex]
A heron can travel an average of 400 km in 10 hours. Then the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].
What is the meaning of the term “distance”?Distance is a measurement of how far apart two things or locations are, either quantitatively or occasionally qualitatively. Distance in physics or common language can refer to a physical length or an estimate based on other factors.
The term is frequently used metaphorically to refer to a measurement of the amount of difference between two similar objects, or a degree of separation as exemplified by distance between people in a social network.
The concept of a metric space is used in mathematics to formalize the majority of such concepts of distance, both literal and figurative.
[tex]Distance (s) = 400km \\= 400 \times 1000m \\= 400,000mTime (t) = 10h \\= 10 \times 3600s \\= 36,000s\\\\Speed = Distance / Time\\= 400000 / 36000\\= 11.12 ms^{-2}[/tex]
Therefore, the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].
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chứng minh đường thẳng a là tiếp tuyến của ( O,R) tại điểm C
The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new model of cell phone supplied from the manufacturer are randomly chosen and the actual standby durations are recorded as below:
48.2 47.8 45.6 47.2 49.3
51.2 44.2 45.4 49.2 43.6
(a) Calculate the unbiased estimates of population mean and standard deviation of battery standby duration (in hours) of the new cell phone.
(b) The manufacturer claimed that this new model of cell phone has the mean battery standby duration of longer than 46.5 hours. Test at 1% significance level if this claim is true.
x = number of hours
want to find probability (P) x >= 13
x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.
P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
To convert that to percentage, multiply 100, to get 84.13%
The Yogurt Packaging company is now re-designing their factory. They are going to construct a building in
the shape of a square box. Their contractor has told them that the diagonal braces needed to make the roof
are 150 feet long.
What would be the floor plan of the building? Label the diagonal braces
Answer:
[tex]\sqrt{\frac{150^2}{2}}=75\sqrt{2}\quad \left(\mathrm{Decimal:\quad }\:106.06601 \right)[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} = 150^{2}[/tex]
a=b
[tex]2a^{2} = 150^{2}[/tex]
[tex]a =\sqrt{150^{2}/2 }[/tex]
Answer:
Step-by-step explanation:
We are using a top down view. We have a square building with side length s. The diagonal is 150 ft
Using the Pythagorean theorem
s^2 + s^2 = 150^2
2s^2 = 22500
s^2 =11250
Taking the square root of each side
sqrt(s^2) = sqrt(11250)
s = sqrt(6225*2)
s = 75 sqrt(2)
It’s 11 but I need help
A,12/15=4/5
B,20/25=4/5
C,25/30=5/6
D,28/35=4/5
=> C
Once upon a time there was a farmer whose family raised pigs and chickens. If you counted 24 heads and 80 feet, how many chickens were there? How many pigs were there?
Answer:
Number of chickens = 8
Number of pigs = 16
Step-by-step explanation:
Let the pigs = p
Let the number of chickens = c
Number of heads = 24
p + c = 24 ----------------(I)
p= 24 - c
Number of feet = 80
Chicken has 2 legs and pig has 4 legs
4p + 2c = 80 --------------(II)
Substitute p = 24 - c in equation (II)
4*(24 - c) + 2c = 80
4*24 - 4*c + 2c = 80
96 - 4c + 2c = 80 {Combine like terms}
96 - 2c = 80 {subtract 96 from both sides}
-2c = 80 - 96
-2c = -16 {Divide both sides by (-2)}
c = -16/-2
c = 8
Plugin c = 8 in equation (I)
p + 8 = 24
p = 24 - 8
p = 16
I need help ASAP!! Please explain how to solve the question
Answer:
318
Step-by-step explanation:
Let's divide this shape into 2 triangles & 3 rectangles.
Area of Triangle = 1/2 (bh)
(1/2 (9x6) ) x 2 = 54
Area of Rectangles = (9x11) + (8x11) + (7x11)
= 264
264 + 54 = 318km^2
Answered by g a u t h m a t h
pls helpppp
The length of the diagonal of a square is 12 cm. Let the side of the square = x cm. Make an equation in x and solve it to find the side length of the square. Hence calculate the area of the square in cm².
Answer:
2x²=12*12
x²=144/2
x=√72
x=8.48528137424
One side of square is 8.48528137424 cm
What is the sum of the angles 'a' and 'b' from the diagram below.
Answer:
90+ 135= 225
Step-by-step explanation:
a can be found with formula (n-2)×180/n, where n is number of sides
a= 135
b=90
Lai Yee and Khadijah have 60 stamps. When Lai Yee gives 5 stamps to Khadijah, the number of Lai Yee's stamps is twice the number of Khadijah's stamps. How many stamps does each of them have at first?
Answer:
Lai yee : 45
Khadijah : 15
Step-by-step explanation:
Here is the Explanation
What is the range of the function graphed below?
у
1
e
6
2
х
-6
8
2
-6-
-8
A. -< y < 2
B.
-00 < y < -2
C. -
D
-2 < y < 0
Answer:
-infinity < y ≤ 2
Step-by-step explanation:
A is correct. The largest value y can have is 2, whereas there is no smallest value. -infinity < y ≤ 2
The range of the given graph will be -∞ ≤ y ≤ 2. The correct option is A.
What is the range?The collection of all a function's outputs constitutes its range. Example: Let's take a look at the function f: AB, where f(x) = 2x and A and B each represents a collection of natural numbers. The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.
The range of the function is -∞ ≤ y ≤ 2. When we move towards the left side the value of y reaches negative infinity and when we move to the right the value of y reaches the value of 2.
It means that the range of the function is varying from negative infinity to a positive value of 2.
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The equation |ax + b| = c must have ? .
O only 1 solution
O 1 or 2 solutions
O 0, 1, or 2 solutions
O 0,1 or an infinite number of solutions
Answer:
O 0,1 or an infinite number of solutions
Step-by-step explanation:
Plz solve it
Factorize: no w
Answer:
here we can go for two solution
How many natural numbers are between 97 through 256?
Answer: go to this website https://en.wikipedia.org/wiki/256_(number) it may help you
Step-by-step explanation:
There are 156 natural numbers between 97 and 256.
What are the Natural Numbers?Natural numbers are defined as refer to a set of all the whole numbers excluding 0. We generally utilize these numbers in our speech and daily activities. Everywhere we look, numbers are used to count things, represent or exchange money, measure temperature, tell the time, etc. These numbers that are used for counting objects are called 'natural numbers'. For example, while counting objects 5 pencils.
Given data as :
The natural numbers are 97 and 256
To determine the numbers between the following, firstly subtract them and then subtract 2 to it.
97 and 256
⇒ 256 - 97
⇒ 158
Substract 2 from it.
= 158 -2
= 156
Thus, there are 156 natural numbers between 97 and 256.
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please answer! i need the answers in order to move on:)
Answer:
1) [tex](\sqrt{25})^{2}[/tex]
[tex]=25[/tex][tex]=5^{2}[/tex]------------
2)
[tex]\sqrt{3}=3^{1/2}[/tex][tex]\sqrt[4]{3} =3^{1/4}[/tex][tex]\sqrt[3]{2} =2^{1/3}[/tex][tex]\sqrt[5]{2} =2^{1/5}[/tex]-------------
3)
[tex](\frac{49}{64} )^{1/2}[/tex]
→ [tex][\frac{7^{2} }{8^{2} } ]^{1/2}[/tex]
→ [tex][\frac{7}{8} ]^{2\times 1/2}[/tex]
→ [tex]\frac{7}{8}[/tex]
------------
4)
[tex]\sqrt[3]{\frac{27}{125} }[/tex]
[tex]\frac{\sqrt[3]{27} }{\sqrt[3]{125} } =\frac{\sqrt[3]{3^{3} } }{\sqrt[3]{5^{5} } }[/tex]
[tex]=\frac{3}{5}[/tex]
--------------
5)
[tex]32^{1/5}[/tex]
[tex]=(2^{5} )^{1/5}[/tex]
[tex]=2^{5\times1/5}[/tex]
[tex]=2[/tex]
--------------
OAmalOHopeO
how do i solve this??
Answer:
10q^2+3q
Step-by-step explanation:
All you have to do is combine like terms I think
(I haven't done this stuff in ages so I'm most likely wrong)
Answer:
10q^2+3q
Step-by-step explanation:
2q^2 +3q +8q^2
Combine like terms
10q^2+3q
Convert 88° to radians and round to 2 decimal places.
Answer:
1.54
Step-by-step explanation:
88° = 88° × π ÷ 180
= 88° × 3.142 ÷ 180
= 88° × 0.0175
= 1.54
Can someone help me I don't understand
Answer:
Q'(3,1) R'(2,5) S'(4,3)
Step-by-step explanation:
Q (-4,-4) -4+7= 3 and -4+5=1 so (3,1)
R (-5,0) -5+7=2 and 0+5=5 so (2,5)
S (-3,-2) -3+7=4 and -2+5=3 so (4,3)
que es la razon de una figura semejante
Answer:
English for fast response
Is the expression x^3·x^3·x^3 equivalent to x^3·3·3? Why or why not? Explain your reasoning. Please show and explain all steps thoroughly. Thank you for your time and help. There is a screenshot of the problem in case my typed version of the problem is not as understandable.
The two expressions are not equivalent because one of the the rule of exponents is that when the bases of the exponents are the same (in this case, they're all x) then you can add the powers. Thus, the alternative expression should be x^(3+3+3).
graph the line that passes through the points (-3,-7) and (-2,-7) and determine the equation of the line
Answer:
y = -7
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - (-7) / -2 - (-3)
0/1
= 0
y = 0x + b
-7 = 0(-2) + b
-7 = 0 + b
b = -7