Answer:
$100
Step-by-step explanation:
To find out how much money Gayle initially had, we solved the two equations provided by the problem: G + 20 = 2(J + 20) and J + 20 = G + 20 - 50. Solving these equations, it was found that Gayle initially had $90.
Explanation:The question is asking us to figure out how much money Gayle had before their mother gave them each $20. Let's denote the amount of money Jerry initially had as J and the amount of money Gayle initially had as G. According to the problem, after the mother gave them $20 each, Gayle had twice the amount of Jerry's, which mathematically translates to G + 20 = 2(J + 20). Likewise, Jerry had $50 less than Gayle, which can be written as J + 20 = G + 20 - 50. Thus we are given a system of two equations that we can solve simultaneously.
Both equations can be simplified to G = 2J + 20 and J = G - 50. By substituting J = G - 50 in the first equation, we can solve for G to get G = 2(G - 50) + 20 which further simplifies to G = $90. Thus, Gayle initially had $90.
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If the coordinates of the points D,E,F,G, and H are -3,-6,8,11 and 13 respectively which segment is the longest
To determine the longest segment, we calculate the distances between the given points using the distance formula. The longest segment is DE with a distance of approximately 21.43 meters.
Explanation:To determine which segment is the longest, we need to find the distance between each pair of points. Using the distance formula, we can calculate the distance between points D and E, points E and F, points F and G, and points G and H. By comparing these distances, we can determine which segment is the longest.
D = sqrt((-3 - 8)^2 + (-6 - 11)^2) = sqrt(169 + 289) = sqrt(458) ≈ 21.43
E = sqrt((8 - 13)^2 + (11 - 13)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39
F = sqrt((13 - 8)^2 + (13 - 11)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39
G = sqrt((8 - -3)^2 + (11 - 13)^2) = sqrt(121 + 4) = sqrt(125) ≈ 11.18
H = sqrt((13 - -3)^2 + (13 - 11)^2) = sqrt(256 + 4) = sqrt(260) ≈ 16.12
The longest segment is DE with a distance of approximately 21.43 meters.
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What is the value of u, v, w, x, and y?
Answer: The required values are
u = 140, v = 28, w = 40, x = 40 and y = 20.
Step-by-step explanation: We are given to find the values of u, v, w, x and y from the figure shown.
We see that
the lines AB and CD are parallel to each other and PS is a transversal.
So, we must have
[tex]u^\circ=140^\circ~~~~\textup{[alternate interior angles]}\\\\\Rightarrow u=140.[/tex]
Now, we also have
[tex]u^\circ=5v^\circ~~~~~\textup{[vertically opposite angles]}\\\\\Rightarrow u=5v\\\\\Rightarrow 140=5v\\\\\Rightarrow v=\dfrac{140}{5}\\\\\Rightarrow v=28.[/tex]
Now, from the property of linear pair, we get
[tex]u^\circ+x^\circ=180^\circ\\\\\Rightarrow u+x=180\\\\\rightarrow 140+x=180\\\\\Rightarrow x=180-140\\\\\Rightarrow x=40.[/tex]
Since angles of measure w° and x° are alternate interior angles, so
[tex]w^\circ=x^\circ=40^\circ\\\\\Rightarrow w=40.[/tex]
Again, by using the property of linear pair, we get
[tex]2y^\circ+140^\circ=180^\circ\\\\\Rightarrow 2y+140=180\\\\\Rightarrow 2y=40\\\\\Rightarrow y=\dfrac{40}{2}\\\\\Rightarrow y=20.[/tex]
Thus, the required values are
u = 140, v = 28, w = 40, x = 40 and y = 20.
A sample of a population of 100 students is collected. Five students playing dodge ball at recess are asked if they prefer playing outdoors or indoors. Which of the following is not true of the sample?
The sample is not large enough.
The question is biased.
The sample is not random.
The students are not part of the population.
Answer:
D. The students are not part of the population
Step-by-step explanation:
The first three options are true of this sample. D is the only option that is not true.
Answer:
The students are not part of the population.
Step-by-step explanation:
Need help please brainliest and 50 points
The slope is 2/-2, so -1. The y-intercept is 2. So, y=-x+2
Determine the ordered pair that satisfies the equation, 7x-1y=8
The ordered pairs that satisfy the equation 7x - y = 8 include (1,-1) and (9/7, 1).
Explanation:To find an ordered pair that satisfies the equation 7x - y = 8, we can choose a value for either x or y and then solve the equation for the other variable. For example, if we choose x = 1, we substitute this into the equation to find the corresponding y value: 7(1) - y = 8 which simplifies to y = -1. Thus, the ordered pair (1, -1) is a solution to the equation. Another solution could be found by choosing y = 1 and solving the equation for x: 7x - 1 = 8, which gives x = 9/7. Thus, the ordered pair (9/7,1) is also a solution to the equation.
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To determine the ordered pair that satisfies the equation, rearrange the equation to solve for y. Plug in different values for x to find corresponding values for y.
Explanation:To determine the ordered pair that satisfies the equation 7x-1y=8, we need to solve for y.
Rearranging the equation, we get y=7x-8. This equation represents a linear relationship, where the value of y depends on the value of x.
By plugging in different values for x, we can find corresponding values for y.
For example, when x=0, y=(-8).
So the ordered pair that satisfies the equation is (0, -8).
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Find x and y. Please write your answer in simplified radical form.
Answer:
see explanation
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex]
Multiply both sides by y
y × sin30° = 6 ( divide both sides by sin30° )
y = [tex]\frac{6}{sin30}[/tex] = [tex]\frac{6}{\frac{1}{2} }[/tex] = 12
---------------------------------------------------------------------------------------
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex]
Multiply both sides by y ( y = 12 )
12 × cos30° = x
x = 12 × [tex]\frac{\sqrt{3} }{2}[/tex] = 6[tex]\sqrt{3}[/tex]
a number cube is rolled and a coin is tossed what is the probability that a number greater than four is rolled and the coin comes up heads
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
In probability, "AND" means "multiplication" and "OR" means "addition".
Here, we are looking for probability of number greater than 4 "AND" probability of heads
so we find the individual probabilities and "multiply".
There are 6 numbers in a cube and number greater than four are 5 & 6, so 2 numbers. Hence
Probability of number greater than 4 is 2/6 = 1/3
Now,
In coin there is only head and tail, so probability of coming up heads is 1/2
Now we multiply both:
1/3 * 1/2 = 1/6
Hence
probability that a number greater than four is rolled and the coin comes up heads is 1/6
A turkey costs $12.75. You have 10$. How many much more do you need ?
Answer:
$2.75
Step-by-step explanation:
I hope this helps you
You need an additional $2.75 to purchase the turkey. In the bat and ball problem, the ball costs $0.05 and the bat costs $1.05.
To determine how much more money is needed to purchase the turkey, you need to subtract the amount of money you have from the cost of the turkey. Since the turkey costs $12.75 and you have $10, you simply calculate $12.75 - $10.00 which equals $2.75. Therefore, you need an additional $2.75 to buy the turkey.
Let's now look at a similar problem. If a bat and ball cost $1.10 in total and the bat costs $1.00 more than the ball, we can set up the equation to find the price of the ball. Let x be the cost of the ball in dollars. Then the bat would cost x + $1.00. Since together they cost $1.10, the equation would be:
x + (x + $1.00) = $1.10.
Solving for x gives:
2x + $1.00 = $1.10
2x = $1.10 - $1.00
2x = $0.10
x = $0.10 / 2
x = $0.05.
So, the ball costs $0.05 and the bat costs $1.05, which is $1.00 more than the ball.
What is the value of x
Answer:
Step-by-step explanation:
30, the angle is worth 180 and 180-40=140. 140-20=120. 4*30=120
Answer:
x=30
Step-by-step explanation:
4x+20+40=180
4x+60=180
4x=180-60
4x=120
4x/4
120/4
=30
PLZZZZZ make me brainliest!!
6. Alex wants to buy a shirt that
costs $35.00.
• The store is having a 30%-off
sale.
• The sales tax for clothing is 6%.
How much will Alex pay for the
shirt?
Answer: 25.97
Explanation:
First you take 100-30=70
Then 70/100= 0.70
Multiply 0.70 by 35 give you 24.5
Than take 6% this time you will just divide by 100 so will be 6/100=0.06 how you are adding have put 1 in front that will result 1.06
Than take 24.5 multiply by 1.06 and get 25.97
Answer:
Hello, thank you for choosing Brainly to ask your question.
First, we have to find out what would 30% of 35 is.
To answer that, just use a common calculator or find out what 10% of it is and keep adding up.
So, 30 percent of 35 is 10.5.
Next, we have to find out what 6% of 24.50 is.
To find out the answer, you have to really use a calculator to find out. It would be way simpler and easier.
So, open your calculator. Then do "24.50 multiplied by 6%"
We are left with 1.47.
Now add 1.47 to 24.50. Your final answer is 25.97.
Have a good day and I hope I helped.:D
Please Help , Is It A,B,C Or D
Answer:
Im Gonna Have to Say B
Step-by-step explanation:
Which equation represents a proportional relationship? A) y = 3x 4 B) y = 3 4x C) y = 3x 4 + 1 D) y = 3 4x + 1
Answer:
A. y = 3x/4
Step-by-step explanation:
a proportional relationship between x and y is a straight line passing through the origin (0, 0).
The equation must be in the form y = kx.
y = 3x/4
y = 3/4x
Answer:
y=3x/4
Step-by-step explanation:
Mrs. Montoro's class is participating in the Math Olympics. Each week of the quarter, a challenging math question is posted, and the students individually try to correctly answer the question. The results of the Math Olympics are shown in the dot plot below.
Which of the following statements describe the distribution in the dot plot?
(choose all that is correct)
1. The mean is 5 questions answered correctly
2. most students answered between 3 and 6 questions correctly
3. the median is 5 questions answered correctly
4. the median is 4.5 questions answered correctly
5. most students answered between 5 and 7 questions correctly
6. the mean is 4.5 questions answered correctly
7. the students answered between 1 and 9 questions correctly
Answer: The correct answers are 1, 2, 4, 7
Step-by-step explanation:
Work for each problem:
1.) 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9 Median: 5 * 2 = 10 / 2 = 5
2.) Correct: The most answers were answered between the numbers 3 and 5.
3.) 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9 (add all) = 108 / 24= 4.5
Answer:
the correct answers are
2. most students answered between 3 and 6 questions correctly
3. the median is 5 questions answered correctly
6. the mean is 4.5 questions answered correctly
7. the students answered between 1 and 9 questions correctly
Step-by-step explanation:
for #2-the shape of the data, more than half of the data lies between #3 and #6..so Most students answered between 3 and 6 questions correctly.
for #7-the lowest # of questions answered correctly is 1 and the highest # of questions answered is 9; so it makes Students answered between 1 and 9 questions correctly
Find the area of the Diameter 5 minutes
Answer:
A= 19,63 units.
Step-by-step explanation:
The area of a circle is given by π r^2. Where "r" represents de radius.
In this case we know that de diameter is 5 units. Given that the radius is half of the diameter, then r=5/2 = 2.5 units.
Then the area of a circle is:
A= π r^2 = π (2.5 units)^2 = 19,63 units.
What is the average rate of change of the function over the interval x = 0 to x = 8?
f(x)=3x+4
2x+7
Answer:
if f(x) = 3x+4, the rate of change is 4.
if f(x) = 2x+7, the rate of change is 2.
Step-by-step explanation:
We know that the average rate of change over the interval x=0 to x=8 is:
(f(x2) - f(x1))/x2-x1
Where:
x2 = 8
x1 = 0
if f(x) = 3x+4
so f(8)=3(8)+4 = 28
f(0)=3(0)+4 = 4
Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3
On the other hand, if f(x) = 2x+7
f(8) = 2(8)+7 = 23
f(0) = 2(0)+7 = 7
Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2
Omari is dividing 5 by 6. If he continues the process, what will keep repeating in the quotient?
Answer:
0.833333333333
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
Dividing 5 by 6 not possible, add zero to to 5 to make it 50
so your quotient becomes 0. 8, you then multiply 8 by 6, it gives 48, you subtract 48 from 50, then you get 2 add zero at th back of 2, to make it 20.
Divide 20 by 6 again, then you will get 3, your quotient becomes 0.83, multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2, add 0 at the back of 2 to make it 20.
Divide 20 by 6, you will get 3, your quotient becomes 0.833. Multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2.
Add zero add the back of 2 to make it 20 and repeat the process.
You will keep getting 3
From the sum of 5 – 9i and -4 + 7i, subtract 14 – 3i. A. -13 + i B. -13 – 5i C. 13 – i D. 13 + 5i E. 13 – 5i
Answer:
A because the sum of 5 - 9i and -4 + 7i is 1 - 2i. And if you subtract 14 - 3i out of that, then you get -13 + i.
Which ordered pair is not a solution of y=-12x-3?
A) (-3,33)
B) (8,-98)
C) (-9,105)
D) (3,-39)
Answer:
B. (8,-98
Step-by-step explanation:
because : x=8.....y=-12(8)-3 =-99
Find the volume of a rectangular prism that is 8 inches high, 12 inches long, and 5 inches wide.
A
360 in.³
B
480 in.³
C
420 in.³
D
240 in.³
Answer:
B 480 in.³
Step-by-step explanation:
Volume of a rectangular prism is given by
V = l*w*h
V = 8*12*5
V =480 in ^3
I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fill? Do not round your answer.
Answer:
[tex]72\pi\ in^{3}[/tex]
Step-by-step explanation:
step 1
Calculate the volume of the cylinder (flower vase)
The volume is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=6/2=3\ in[/tex] -----> the radius is half the diameter
[tex]h=12\ in[/tex]
substitute the values
[tex]V=\pi (3)^{2}(12)=108\pi\ in^{3}[/tex] ------> exact value
step 2
Calculate 2/3 of the volume
[tex]V=(2/3)108\pi=72\pi\ in^{3}[/tex]
HWKAGDAW WJQWIUHYEWLAHC AIUOLHAJLSIA
Answer:
BVLJFBGEJOOEUUUUUUUUVWRBTOUGNJWWHBH
Step-by-step explanation:
Match the measureable quantity giving by its formula with the appropriate unit(s)
volume =(length)(width)(height)
area = (length)(width)
speed= distance/time
perimeter=2 (length)+2 (width)
cubic centimeters
square meter
meter per second
meter
Answer:
See explanation
Step-by-step explanation:
Volume is three dimensional so it is measured in cubic units
Volume =(length)(width)(height) [tex]\to[/tex] cubic centimeters
Area is two dimensional, it is measured in square units.
Area = (length)(width) [tex]\to[/tex] square meter
Speed is derived from two basic quantities (length and time). It is measured is meters per seconds.
Speed= distance/time [tex]\to[/tex] meter per second
Perimeter is distance around an object. It is measured in meters
Perimeter=2 (length)+2 (width) [tex]\to[/tex] meter
Matching Quantities with Units
give me a list of factors for 50?
Answer:
1, 2, 5, 10, 25, 50
Step-by-step explanation:
Given: circle k(O)
m∠OFQ = 52°, m FQ = (5x+1)
Find: x
Answer:
x=15°
Step-by-step explanation:
step 1
Find the measure of arc QD
we know that
The inscribed angle is half that of the arc it comprises.
so
m∠OFQ=(1/2)[arc QD]
substitute the given value
52°=(1/2)[arc QD]
104°=[arc QD]
arc QD=104°
step 2
Find the value of x
Remember that the diameter divide the circle into two equal parts
so
arc FQ+arc QD=180°
we have
arc QD=104°
arc FQ=(5x+1)°
substitute
(5x+1)°+104°=180°
5x=180°-105°
x=15°
Don’t understand this question pllsss helppp
Answer:
A. -50
Step-by-step explanation:
The question is asking you to find the Y point as they gave you the X.
(0,-50). -50 on the y-axis explains the x of 0. If you though it was 14 or -6, it is not because they have the x of -6 and the y of 0.
Answer:
C. 14
Step-by-step explanation:
The given graph represents a polynomial function r(x).
We want to find an x-value that satisfies
r(x)=0.
The solution to the function whose graph is shown are the x-intercepts of the graph.
We can read from the graph that, the x-intercepts are;
[tex]-6[/tex] and [tex]14[/tex].
Hence the solutions are x=-6 and x=14.
From the given options a solution to r(x) is 14.
The correct choice is C
Janie has 12 pieces of 8 pieces of fruit are bananas
Answer:
2/3 of the fruits are bananas. :)
Step-by-step explanation:
What is the area of the trapezoid below? 30 POINTS!!!
Answer:
180 units²
Step-by-step explanation:
Let's find the length of the dashed line (which is the length of the trapezoid). Use the Pythagorean Theorem:
7² + h² = 25², or h² = 625 - 49 = 576. Thus, h = √576 = 24.
The average width of the trapezoid is:
(7+4) + 4
w = ---------------- = 15/2
2
The area of a trapezoid is (average width of trapezoid)(length of trapezoid), and here that comes to:
15
A = -------- * 24 = 180 units²
2
Hope this help!!!
Have a nice day!!!
which functions have a range of all real numbers ? check all that apply. A. y=csc x B. y=sec x C. y=tan x D. y= cot x
None of these. All of these functions are defined as ratio of trigonometric functions.
Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.
Specifically, we have:
[tex]\csc(x) = \dfrac{1}{\sin(x)}[/tex]
which is undefined at
[tex]\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}[/tex]
[tex]\sec(x) = \dfrac{1}{\cos(x)}[/tex]
which is undefined at
[tex]\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}[/tex]
[tex]\tan(x) = \dfrac{\sin(x)}{\cos(x)}[/tex]
which is undefined at
[tex]\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}[/tex]
[tex]\cot(x) = \dfrac{\cos(x)}{\sin(x)}[/tex]
which is undefined at
[tex]\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}[/tex]
Which expression can be used to determine the reference angle for an angle, x, measuring 150°?
Answer:
To find the reference angle measuring x for angle in Quadrant II the formula is:
180° - x = 180° - 150° = 30°
Answer: the reference angle is 30°
The expression we can use to determine the reference angle for an angle, x, measuring 150° is 180°-X=150°
⇒ X=180°-150°
What is the angle? In geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. angles mean “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex.An angle is formed when two straight lines or rays meet at a common endpoint.Learn more about angle here:-https://brainly.com/question/25716982
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Jana has to solve a system of equations that contains an exponential function and a linear function. She decides to solve graphically and the graph she obtained is shown.
Is the complete solution shown? Why or why not?
A) Yes, since one of the equations is linear the two functions can only intersect once and the intersection point is shown.
B) Yes, since the slope of the line is not as great as the rate of change of the exponential the y-values will be greater and they will only intersect one time.
C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.
D) No, even though the line has a smaller rate of change initially than the exponential, eventually the exponential will have to have a smaller rate of change than the linear since they are the fastest growing functions. Given that there must be at least one more intersection point somewhere near y = -1.
Answer:
If this is USATestPrep the answer is C
Step-by-step explanation:
Answer:
Option C is right.
Step-by-step explanation:
Jana has to solve a system of equations that contains an exponential function and a linear function.
C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.
Exponential will eventually exceed all other functions as they are the fastest growing functions.