A vineyard owner hires 25 people to harvest grapes. The vineyard covers 30 acres. The harvest takes 9 days to complete. A neighbour has a vineyard measuring 20 acres and needs his harvest finished in 5 days. Assuming all people work at the same rate, how many people should he hire?
Please show working out.
The value of 4 in 3,492 is how many times the value of 4 in 704?
the slopes of two lines are 5/6 and 2/p determine the value of p that will make the lines parallel
8x-2y-5=11 write the equation in function form
How do i solve this equation: 4/5a + 3 = 1/3a - 8
Plzzzz help me ??!?!?!??
Pythagorean Theorem is for right triangles
right triangles have a 90 degree angle in them
D is a right triangle
Find the equivalent function to f(x) = 3(6)^2x
Answer:
f(x) = 3(36)x
f(x) = 182x
f(x) = 108x
f(x) = 9x(36x)
Step-by-step explanation:
Peter is 2 years older than Winnie. Peter's age is 16 years less than seven times Winnie's age. The equations below model the relationship between Peter's age (p) and Winnie's age (w):
p = w + 2
p = 7w − 16
Which is a possible correct method to find Peter's and Winnie's ages?
Solve w + 2 = 7w − 16 to find the value of w.
Solve p + 2 = 7p − 16 to find the value of p.
Write the points where the graphs of the equations intersect the x axis.
Write the points where the graphs of the equations intersect the y axis.
Describe how you can tell that a fraction corresponds to a repeating decimal and not a terminating decimal
Which set of side lengths forms a right triangle??
One side of the triangle is 8 in, and the other two sides are equal to a positive whole number of inches. What is the smallest possible perimeter of the triangle?
F. 9 in
G. 10 in
H. 11 in
J. 15 in
K. 17 in
1. Solve -2n + 5 > 7.
2. Kia experimental probability of striking out at baseball is 13%. Out of 30 times at bat about how many times will she strike out?
draw a diagram of eli's walking pattern
What is the constant of variation for the quadratic variation? 6y = 4x2
How does ray ab and ac form both a line and angle
Which statement best compares the rate of change of the two functions?
The rate of change of a function is reflected in the steepness of its graph. A function with a higher rate of change will have a steeper line. The correct comparison statement will depend on the specific slopes of Line A and Line B.
Explanation:In the context of this question, the rate of change refers to the steepness of the lines or the slopes of the functions represented by the lines. When comparing the rates of change of two functions, you look at how steep or flat each line is.
Let's consider the statements given:
Line A is a decreasing line while line B is an increasing line, with line B being much steeper than line A.Line A is a decreasing line while line B is an increasing line, with line A being much steeper than line B.Line B is a decreasing line while line A is an increasing line, with line A being much steeper than line B.Line B is a decreasing line while line A is an increasing line, with line B being much steeper than line A.To determine the best statement, analyze the steepness of the lines. For example, if Line A is decreasing and much steeper than Line B, then it would have a larger (but negative) rate of change.
Remember, the
rate of change
in a function can be understood as the rate at which the y-values are changing for each increment in the x-values. A higher rate of change means the function is increasing or decreasing more quickly.
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A social networking site recorded that 80% of the people who became members of the site one month were between 30 and 40 years old. The equation below represents this information, where x represents the total number of people who became members of the site that month: x = 0.8x + 72 How many people who became members of the site that month were between 30 and 40 years of age?
x = 0.8x + 72
when x is alone you can say it is 1x
Subtract 0.8x from both sides:
0.2x = 72
x = 72/0.2
x = 360
To solve the equation x = 0.8x + 72, subtract 0.8x from both sides and then divide by 0.2 to solve for x. The result is 360.
Explanation:To solve the equation x = 0.8x + 72, we need to isolate the variable x on one side of the equation. First, subtract 0.8x from both sides: x - 0.8x = 0.8x + 72 - 0.8x. Simplifying this gives 0.2x = 72. Then, divide both sides by 0.2 to solve for x: x = 72 ÷ 0.2 = 360. Therefore, 360 people who became members of the site that month were between 30 and 40 years of age.
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if the area of a square is 529 in 2 , what is the length of a side of the square
Paul has grades of 63 and 81 on his first two tests. What must he score on his third test in order to have an average of at least 70
Ali needs 4/10 yard of red ribbon and 5/10 yard of blue ribbon to make a tail for her kite. how much ribbon does Ali need in all?
The solution generated by the calculator is 5.779E–8. Describe how to interpret the solution.
the E-8 at the end means the number is multiplied by 10^-8
so 5.779E-8=
5.779 x 10^-8 =
a negative power means move the decimal place that many places to the left
so 5.779 x 10^-8 =
0.00000005779
Answer:
the E-8 at the end means the number is multiplied by 10^-8
so 5.779E-8=
5.779 x 10^-8 =
a negative power means move the decimal place that many places to the left
so 5.779 x 10^-8 =
0.00000005779
Step-by-step explanation:
Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 27 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Vanilla wafers cost $4 per packet
and chocolate wafers for $1 per packet
They spent a total of $45 .
This means that the equation that can be formed using this information is:
4x+y=45
and they buy a total of 27 packets of wafers.
i.e. the equation formed with the help of this information is:
x+y=27
PART A:
The system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival is:
4x+y=45-------------------(1)
and x+y=27----------------(2)
PART B:
We will use the method of substitution because with the help of this method we could easily substitute the value of one variable in terms of the other variable and obtain the answer.
Using equation (2) we have:
y=27-x-------------------(3)
On putting this value of y in equation (1) we have:
4x+27-x=45
i.e.
4x-x+27=45
i.e.
3x+27=45
i.e.
3x=45-27
i.e.
3x=18
i.e.
x=6
and on putting the value of x in equation (3) we have:
y=27-6
i.e. y=21
Hence, number of vanilla wafers purchased = 6
and number of chocolates wafers purchased = 21
Instructions:Select the correct answer. You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you construct using these measurements? 0 1 2 infinitely many
Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.
By calculation, the length of the 3rd side is calculated using cosine law:
c^2 = a^2 + b^2 – 2abcosθ
c^2 = 10^2 + 8^2 – 2(10)(8)cos40
c = 6.44 cm
ANSWER:
1 triangle
Select all of the following expressions that are equivalent to ab - 2 = c
a = c/b -2
b = c + 2/a
ab = c + 2
a - c/2 = b
b - 2/c = a
a = c + 2/b
Answer:
Option C.
Step-by-step explanation:
The given expression is ab - 2 = c
Option a : a = [tex]\frac{c}{b}[/tex] - 2
ab = c - 2b
Not equivalent to the original expression.
Option b : b = c + [tex]\frac{2}{a}[/tex]
ab = ac + 2 ⇒ [tex](\frac{ab-2}{a})[/tex] = c
Not equivalent
Option c : ab = c + 2
ab - 2 = c
Equivalent to original expression
Option d : a - [tex]\frac{c}{2}[/tex] = b
2a - c = 2b
Not equivalent
Option e : b - [tex]\frac{2}{c}[/tex] = a
bc - 2 = ac ⇒ c (b-a) = 2 ⇒ c = [tex]\frac{2}{b-a}[/tex]
Not equivalent
Option f : a = c + [tex]\frac{2}{b}[/tex]
ab = bc + 2
[tex](\frac{ab-2}{b} )[/tex] = c
Not equivalent
someone help me plz.
Jose and a group of friends bought concert tickets for $257. The booking agency also charged a fee, bringing the total cost to $274.99. The amount of change is $17.99. What is the percent increase in the cost due to the fee?
A.6%
B.7%
C.8%
D.9%
Answer:
A.6%
B.7%
C.8%
D.9%
The correct answer to the question *interquartile range
What are the solutions to the equation (2x-5)(3x-1)=0?
The answer is C. x = [tex]\frac{5}{2}[/tex] 0r x = [tex]\frac{1}{3}[/tex]
Find the length of the missing side. If necessary, round to the nearest tenth. side A = 38 side b =b side c = 34
A. 51
B. 36
C. 72
D. 17
The length of the missing side = side B = 17 (D) or 51(A)
Further explanationTriangles are flat fields bounded by 3 intersecting sides and 3 angles
This side can be the same length or different.
If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle
There is a hypotenuse in this triangle which is the sum of the two sides
[tex]\large{\boxed{\bold{C^2=A^2+B^2}}[/tex]
where c = hypotenuse
a and b = side/leg
This formula is known as the Pythagorean theorem which states that:
the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides.
or
the sum of the squares of the length of the two sides equals the square of the length of the hypotenuse
While the angle formulas used are
sin a = opposite / hypotenuse cos a = adjacent / hypotenuse tan a = opposite / adjacent
From the problem it is known that side A = 38 ,side b = b, side c = 34
There are 2 possible solutions to this problem because the image does not exist:
1. side A as the hypotenuse side (the longest side) 2. side B as hypotenuse sidePossible Solution no 1
A² = C²+B²(A=hypetenuse)
B² = A²-C²
B² = 38² - 34²
B² = 288
B = √288
B = 16.97, round to the nearest tenth ⇒ 17 (answer D)
Possible Solution no 2
B² = A²+C²(B=hypotenuse)
B² = 38² + 34²
B² = 2600
B = √2600
B = 50.99, round to the nearest tenth ⇒ 51 (answer A)
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Keywords: Pythagoras' theorem, the trigonometric, hypotenuse
ONLY THE CORRECT ANSWERS PLEASE!!!!
Which term best represents the intersection of two pages of an open book?
A. line
B. angle
C. plane
D. point