Answer:
x=2,y=-3
Step-by-step explanation:
y=x-5....(1)
5x+2y=4...(2)
Let's substitute (1) into (2)
5x+2(x-5)=4
5x+2x-10=4
7x-10=4
Add 10 to both sides
7x=14
Divide both sides by 7
x=2
Substitute the value for x into (1)
y=x-5
y=2-5
y=-3
Therefore x is 2,y is-3
Answer:
x = 2, y = -3
Step-by-step explanation:
y= x - 5
5x + 2y = 4
5x + 2(x - 5) = 4
5x + 2x - 10 = 4
7x = 14
x = 2
y = 2 - 5
y = -3
A recipe requires 5/6 of a cup of sugar. If Mrs. Marina is going to make on half of the recipe, then how much sugar does she need?
Answer:
5/12
Step-by-step explanation:
Let the unknown number of sugar requires by 1/2 recipe be x
1 recipe requires 5/6 cup of sugar
1/2 recipe requires x cup of sugar
Cross multiply
x=1/2×5/6
x=5/12
So the amount of sugar requires to make 1/2 recipe is 5/12
Elena said, “I think this line is a good fit because half of the points are on one side of the line and half of the points are on the other side.” Do you agree?
Final answer:
While Elena's method of dividing the points equally on either side of a line might be a rough starting point for finding a 'line of best fit,' accurate data analysis requires more sophisticated methods, like least squares regression, to determine how well a line truly fits a set of data points.
Explanation:
Elena's consideration that a line is a good fit because half of the points are on one side and half are on the other may indicate an attempt at balancing data around a potential 'line of best fit' when visually estimating in scatter plots. However, a good fit in the context of data analysis typically relates to how closely the line follows the trend of the points, which is better determined by methods such as least squares regression, rather than just the number of points on either side of the line.
Statistical measurements, such as the correlation coefficient, are used to quantify how well a line fits the data in question. Therefore, while Elena's observation might be useful as an initial, rough estimation, more rigorous statistical methods would provide a more accurate assessment of a good fit for the data.
please help fast please really fast 10 points
Answer:
A
Step-by-step explanation:
L.C.M. fo 3,2,3=6
multiply by 6
4x-3=2+5x
4x-5x=2+3
-x=5
x=-5
Answer:
x=-5
Step-by-step explanation:
-2+x≤3
Please help me. I don't do well on this.
Answer:
x≤5
Step-by-step explanation:
-2+x≤3
Add 2 to each side
-2+2+x≤3+2
x≤5
Solve for p.
9(p - 4) = -18
Answer:
p=2
Step-by-step explanation:
9(p - 4) = -18
Divide each side by 9
9/9(p - 4) = -18/9
p-4 = -2
Add 4 to each side
p-4+4 = -2+4
p = 2
Please answer this!
Tony opens a savings account. The graph represents the amount of money in dollars that Tony expects to deposit in his account in terms of the number of years since opening the account.
We have been given that a graph that represents the amount of money in dollars that Tony expects to deposit in his account in terms of the number of years since opening the account.
We are asked to find the rate of change and initial value from our given graph.
We know that initial value is the point, where, graph intersects y-axis that is when x is equal to 0.
We can see that graph starts at 5000 on y-axis, therefore, initial value is $5000.
The rate of change will be equal to slope of line. Let us find slope of line using points (0,5000) and (1,7500).
[tex]m=\frac{7500-5000}{1-0}[/tex]
[tex]m=\frac{2500}{1}[/tex]
[tex]m=2500[/tex]
Therefore, the rate of change is $2500 per year.
The equation [tex]y=2500x+5000[/tex] represents the amount of money in dollars that Tony expects to deposit in his account.
The equation [tex]\rm y = 2500x+5000[/tex] represents the amount of money in dollars that Tony expects to deposit in his account.
The rate of change is $2500 per year.
Given that,
Tony opens a savings account.
The graph represents the amount of money in dollars.
Tony expects to deposit in his account in terms of the number of years since opening the account.
We have to determine,
The equation represents the amount of money in dollars that Tony expects to deposit in his account and rate of change per year.
According to the question,
The graph that represents the amount of money in dollars that Tony expects to deposit in his account in terms of the number of years since opening the account.
The rate of change and initial value from our given graph.
The initial value is the point, where, graph intersects y-axis that is when x is equal to 0.
The equation represents the amount of money in dollars that Tony expects to deposit in his account is,
[tex]\rm y = 2500x+5000[/tex]
The graph starts at 5000 on y-axis, therefore, initial value is $5000.
The rate of change will be equal to slope of line.
Let us find slope of line using points (0,5000) and (1,7500).
Therefore,
The slope of line is,
[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{7500-2500}{1-0}\\\\m = 2500[/tex]
Hence, the rate of change is $2500 per year.
For more details refer to the link given below.
https://brainly.com/question/17521208
A student claimed 7 and -7 are the two cube roots of 343.
Do you disagree or agree
Answer:
i think disagree ._.
Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 58 dash m-by-58 dash m square. Val says the area is 1 comma 917.48 msquared. Find the area enclosed by the figure. Use 3.14 for pi. What error might Val have made?
Answer:
We need to find the area of the semicircles + the area of the square.
The area of a square is equal to the square of the lenght of one side.
As = L^2 = 58m^2 = 3,364 m^2
Now, each of the semicircles has a diameter of 58m, and we have that the area of a circle is equal to:
Ac = pi*(d/2)^2 = 3.14*(58m/2)^2 = 3.14(27m)^2 = 2,289.06m^2
And the area of a semicircle is half of that, so the area of each semicircle is:
a = (2,289.06m^2)/2 = 1,144.53m^2
And we have 4 of those, so the total area of the semicircles is:
4*a = 4* 1,144.53m^2 = 4578.12m^2
Now, we need to add the area of the square 3,364 m^2 + 4578.12m^2 = 7942.12m^2
This is nothing like the provided anwer of Val, so the numbers of val may be wrong.
Answer:
The answer is 4,112.00 m
Step-by-step explanation:
Val subtracted the square's area from area of the semicircles when it should be added to it.
The parking space shown at the right has an area of 150 ft. A custom truck has
rectangular dimensions of 11.7 ft by 6.1 ft. Can the truck fit into the space? Justify you
answer.
Answer: The truck can fit into the parking space since the area of the parking space is greater than the area occupied by the truck.
Step-by-step explanation:
Hi, to answer this question, first, we have to calculate the rectangular area occupied by the truck, by multiplying its dimensions:
Area = length x width
11.7 ft x 6.1 ft = 71.37 ft2
Now, we have to compare it with the available parking space:
150 > 71.3
The truck can fit into the parking space since the area of the parking space is greater than the area occupied by the truck.
Find the sale price of a $90 item after a 30% discount.
The sale price is $
Answer:
$63
Step-by-step explanation:
100%-30% = 70% of original price.
Thus .7 *90 = $63
Scientists are making an aerial study of a volcano. Their helicopter is circling at
an 8 km radius around the volcano's crater, and one of the scientists notices a
new vent that is 45° east of due north from the crater. What is the position of the
new vent relative to the crater?
Answer:
(x + 5.66, y + 5.66) where (x, y) is the location of the crater
Step-by-step explanation:
Locating volcano's crater at (0, 0), the new vent is at angle equal to 45° respect x-axis, and at distance of 8 km from the crater. In polar coordinates that is radius (r) = 8, angle (α) = 45°. We are asked to transform these polar coordinates into rectangular coordinates. To do it, we have to use the following formulas:
x = r*cos α = x = 8*cos 45 = 5.66
y = r*sin α = 8*sin 45 = 5.66
If the crater is at position (x, y) then the vent would be translated at position (x + 5.66, y + 5.66)
Final answer:
The new vent's position relative to the crater, with the helicopter circling at an 8 km radius, is described by polar coordinates as (8 km, 45°) east of due north. This grants a clear visualization of the vent's specific location in relation to the volcano's crater, emphasizing its displacement and direction.
Explanation:
The position of the new vent relative to the crater, given that the helicopter is circling at an 8 km radius around the volcano's crater and that the new vent is located 45° east of due north from the crater, can be described using polar coordinates (r, θ) where r is the radius and θ is the angle from a reference direction. In this case, the reference direction is due north, and the angle is measured towards the east, meaning that the position of the new vent can be represented as (8 km, 45°). This means the vent is 8 km away from the crater at an angle of 45° east of due north. To visualize this, imagine the crater at the center of a circle, with the helicopter moving along the boundary of this circle. The new vent is located on the circumference of this circle, such that if you draw a line from the center (crater) to the vent, this line makes a 45° angle with the northward direction.
Which two lines are parallel?
Which two lines are perpendicular?
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
All the equations given are in slope- intercept form
y = 2x + 1 → with m = 2
y = [tex]\frac{1}{2}[/tex] x - 4 → with m = [tex]\frac{1}{2}[/tex]
y = x + 1 → with m = 1
y = - [tex]\frac{1}{x}[/tex] x - 3 → with m = - [tex]\frac{1}{2}[/tex]
y = 10 + x → y = x + 10 → with m = 1
Thus
y = x + 1 and y = 10 + x are Parallel since both have m = 1
y = 2x + 1 and y = - [tex]\frac{1}{2}[/tex] x - 3 are Perpendicular since 2 × - [tex]\frac{1}{2}[/tex] = - 1
What is the value of x, the height of the prism?
volume = 1/2 x a x b x X
1152= 1/2 x 12x 12 x X
12*12 = 144
1152 = 1/2 x 144 x X
1152/ 1/2 = 2304
2304 =144 x X
X=2304/144 = 16
check 1/2*12*12*16 = 1152
x=16cm
Does the quadratic function y=-2x+3x^2+5 open upward or downward? Explain
Answer:
It would open upward.
Step-by-step explanation:
If you see on the equation, there is a positive (+) sign on the [tex]3x^2[/tex]. If you see the positive sign on anything that is squared, and it is asking for a quadratic function, then it will always open upward. If you see a negative sign on anything that is squared, and is asking for a quadratic function, then it will open downward.
Answer:
Upwards
Step-by-step explanation:
The reason is this quadratic function has a positive coefficient which is 3. The reason 3 is the coefficient is that 3 is the one with the X with a square in it. if 3 would have been negative, well the answer would be the opposite.
Hope That Helped
is 62784 divisible by 4
Answer:
yes it is the answer is 15696
Katie wants to measure the length from the pitcher mound to home plate on the softball field. Should she use inches or feet to to measure it?
Answer: Feet
Step-by-step explanation:
Well, Katie can use whatever unit of measure she prefers. However, in this case she must take into account the measuring instrument that she is going to use and the unit of measurement that is generally used or according to the established rules.
On the other hand, a softball field has an average area of [tex]225 ft^{2}[/tex], which is quite a lot. Therefore Katie needs to use a convenient unit of measure (let's assume she uses a measuring tape, which gives her the option to measure in feet or inches) to quickly measure the distance between the pitcher mound and home plate.
So, if we have to choose between feet and inches, we must consider the following:
[tex]1 ft=12 in[/tex]
This means [tex]ft[/tex] as a unit of distance is greater than [tex]in[/tex]. Hence, Katie should use feet instead of inches.
In addition, according to the Softball rules, generally the dimensions are given in feet. So, it is better for Katie to use feet to measure the distance from Pitchers Mound to Home Plate.
Suzi is designing a path with parallelogram-shaped pavers as shown in the diagram. The area of the path is 120 square feet. About how many pavers will she need to cover the path?
40
60
120
160
Answer:
120
Step-by-step explanation:
I am taking the test rn
If area of the path is 120 square feet then 120 pavers will she need to cover the path
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that Suzi is designing a path with parallelogram-shaped pavers as shown in the diagram.
The area of the path is 120 square feet.
A parallelogram has a base of 2 feet and height of 0.5 feet.
Area of parallelogram 2×0.5
which is 1 square feet
Now let us find the number of pavers she need to cover the path
120×1
120
Hence, if area of the path is 120 square feet then 120 pavers will she need to cover the path
To learn more on Areas click:
https://brainly.com/question/20693059
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Compare the perimeter and area of the original figure to the perimeter and area of the reduced figure using the scale factor. A smaller rectangle has a length of 3 and width of 1. A larger rectangle has a length of 6 and width of 2. Which statements are true about the comparison between the two figures? Check all that apply. The scale factor is 2. The scale factor is One-half The perimeter of the model is the product of the scale factor and the perimeter of the original rectangle. The area of the reduced figure is half the area of the original figure. The area of the reduced figure is (One-half) squared, one-fourth times the area of the original figure.
Answer:
- The scale factor is one-half
- The perimeter of the model is the product of the scale factor and the perimeter of the original rectangle
-The area of the reduced figure is (1/2)^2 = 1/4 times the area of the original figure
Step-by-step explanation:
The ratio of the length of the original rectangle to that of the reduced rectangle is 6 to 3, or a factor of 1/2. The ratio of the width of the original rectangle to that of the reduced rectangle is 2 to 1, or, again, a factor of 1/2. So, because this ratio of 1/2 is constant, we know the total scale factor is 1/2, making B correct.
The perimeter of a rectangle is: [tex]P=2l+2w[/tex], where l is the length and w is the width. The perimeter of the reduced figure is: P = 2 * 3 + 2 * 1 = 6 + 2 = 8 units. The perimeter of the original figure is: P = 2 * 6 + 2 * 2 = 12 + 4 = 16 units.
Notice that 16 * (1/2) = 8, which means that the perimeter of the scale-factored, reduced rectangle is "the product of the scale factor (which is 1/2) and the perimeter of the original rectangle (which is 16)". So, C is correct.
The area of a rectangle is: [tex]A=lw[/tex], where l is the length and w is the width. The area of the reduced figure is: A = 3 * 1 = 3 units squared. The area of the original figure is: A = 6 * 2 = 12 units squared.
Notice that 12 * (1/4) = 3, which means that E is correct, but D is wrong.
Hope this helps!
Answer:
Statement 2: The scale factor is One-half
Statement 3: The perimeter of the model is the product of the scale factor and the perimeter of the original rectangle.
Statement 5: The area of the reduced figure is (One-half) squared, one-fourth times the area of the original figure.
Step-by-step explanation:
A smaller rectangle has a length of 3 and width of 1
Perimeter: 2(3+1) = 8
Area: 3×1 = 3
A larger rectangle has a length of 6 and width of 2
Perimeter = 2(6+2) = 16
Area = 6×2 = 12
Comparing areas:
Smaller : larger
3 : 12
1 : 4
Comparing perimeters:
Smaller : larger
8 : 16
1 : 2
Which statements are true? Check all that apply
mCB = 120°
MCB = 60°
mZCOB = 2(m_CAB)
m_COB = 120
mzCOB = 1 (m_CAB)
600
Answer:
A,C,D
Step-by-step explanation:
Snap
Jona_Fl16
The correct statements are mCB = 120°, m∠COB = 2(m∠CAB), m∠COB = 120°
What is a circle?A circle is the locus of a point such that its distance from a fixed point known as the center is always constant.
From the diagram:
mCB = 2 * m∠CAB (angle at center is twice angle at circumference)
mBC = m∠COB = 2(60) = 120°
The correct statements are mCB = 120°, m∠COB = 2(m∠CAB), m∠COB = 120°
Find out more on circle at: https://brainly.com/question/24375372
Trina uses One-half cup of sugar and Three-fourths cup of flour in a recipe. How many cups of sugar would she need if she uses 3 cups of flour?
Answer:
2 cups
Step-by-step explanation:
Answer: 4 1/2 cups of sugar
Step-by-step explanation: Math
(HURRY PLEASE) What is the rate of change of the function represented by the table?
Answer:2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
y values are getting less negative so ROC has to be positive. numbers are not going up by 1. They are going up by 2.5
Plot -3/2 and 1/4 on the number line
link attached with answer
hope this helps :)
Answer:
Answer is below
Step-by-step explanation:
<-----|---------------|-----------|------->
-3/2 0 1/4
A circle has a diameter of 11cm
A square has a side length of 7cm
Use pythagoras’ theorem to show that the square will fit inside the circle without touching the edge of the circle.
Pleas help
Answer:
The diagonal length of the square equals:
diagonal ^ 2 = 7^2 + 7^2
diagonal ^ 2 = 49 + 49
diagonal ^ 2 = 98
diagonal = 9.899 cm
The diagonal is smaller than the circle's diameter and so it will ft inside the circle.
Step-by-step explanation:
What is the area of the triangle?
8 cm
14 cm
Answer:
The answer is 56 cm2
Step-by-step explanation:
You have to multiply the height times the base then divide that answer by two.
8x14= 112
112/2= 56
Answer:
Step-by-step explanation: Area = 1/2 b.h
= 1/2 8cm.14cm
= 1/2 112 Square cm
= 112/2
= 56 Square cm.
What is the MAD for tamika: (10, 9, 5, 20, 12, 4) points in tmr basketball game
Answer:
4
Step-by-step explanation:
The probability of drawing a silver ball out of a certain bag is
1 third. What is the probability of not drawing a silver ball?
The probability of not drawing a silver ball, when the probability of drawing a silver ball is 1/3, is 2/3.
Explanation:The probability of not drawing a silver ball can be found by subtracting the probability of drawing a silver ball from 1, since the sum of the probabilities of all possible outcomes must equal 1. If the probability of drawing a silver ball is 1/3, then the probability of not drawing a silver ball is 1 - 1/3 = 2/3.
Describe a Positive Correlation on a Scatter Plot.
Answer:
A positive correlation on a scatter plot would show the points closer tog.ether heading in an upward direction
Step-by-step explanation:
Choose the best description for the real number 4 point 6 repeating
Answer:
irrationanal
Step-by-step explanation:
What is the radius of the circle given by the
equation (x + 4)2 + (y − 3)2 = 4?
A. 16
B. 4
C. √4
D. 12
Answer:
C sqrt (4) or 2
Step-by-step explanation:
(x + 4)^2 + (y − 3)^2 = 4
We know that the equation for a circle can be written in the form
(x -h)^2 + (y − k)^2 = r^2 where (h,k) is the center and r is the radius
Rewriting the above equation
(x - -4)^2 + (y − 3)^2 = 2^2
The center is (-4,3) and the radius is 2
In this line of circles
OOOO
the ratio of red circles to blue circles is 1:3
How many more red circles would
need to be added to make the ratio of red to blue 3: 1?
Answer:
3 red circles
Step-by-step explanation:
You require three red circles and blue circles reduced by two.