By solving a system of equations we can see that each goat costs $30 and each sheep costs $25.
How to find the cost of each animal?Let's define the variables:
x = cost of a goat
y = cost of a sheep.
We can write the system of equations with the given info:
6*x + 5*y = 305
2*x + 9*y = 285
If we subtract 3 times the second equation from the first one, we get:
(6*x + 5*y) - 3*(2*x + 9*y) = 305 - 3*285
-22*y = -550
y = -550/-22 = 25
Now that we know the value of y we can try to find the value of x:
2*x +9*25 = 285
2*x = 285 - 9*25 = 60
x = 60/2 = 30
These are the costs of each animal.
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The vertices of a figure are J(-4,1), K(-2,1), and L(-4,-3). Rotate the figure 90° clockwise about the origin. Find
the coordinates of the image.
ill add a graph if needed !! :)
The coordinates of figure and the coordinates of the image after rotation is as below
preimage image
J(-4,1) J' (1, 4)
K(-2,1) K' (1, 2)
L(-4,-3) L' (-3, 4)
What is rotation ?Rotation is one the movements involve in transformation
In rotation, the objects moves about an axis in a circular direction
The transformation rule for 90 degrees clockwise rotation is
(x, y) → (y -x)
applying the rule gives the new coordinates of the image as
Image
J' (1, 4)
K' (1, 2)
L' (-3, 4)
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A hardware store was charging $4.51 for a screwdriver but raised the price 17%. The new price after the increase is $5.28. Enter an expression to show how the new price was calculated.
please help asap! This is for a test and I need it to raise my grade.
An arts and crafts store sells sheets of stickers. Use the table to write an equation you can use to find the total cost y in dollars for x sheets of stickers.
The equation that can be use to find the total cost y in dollars for x sheets of sticker is y = 2.55x.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, it should be noted that a proportional relationship exist between the figures that are given.
Therefore, the constant will be:
= Cost / Number of sheet
= 12.75 / 5
= 2.55
Therefore, the equation is y = 2.55x
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c + 9 = -15. No se cual es la respuesta.
10 is the geometric mean between 23 and what other value? Round your answer to the tenths' place.
10 is the geometric mean between 23 and 4.35.
What is geometric mean?The geometric mean is a type of average, generally used for growth rates. Let c is the geometric mean of a and b, then c=[tex]\sqrt{ab}[/tex].
Given that,
The geometric mean of 23 and other value is 10.
Let the other value is x.
Use the geometric mean property,
G.M.=[tex]\sqrt{ab}[/tex] (1)
Substitute the given values in equation (1)
10=[tex]\sqrt{23x}[/tex]
⇒x=100/23
⇒x=4.347
The geometric mean of 23 and 4.35 is 10.
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now there are ten nucleotides floating around: a,a,a,a,t,c,c,c,g,g . at random, one is picked to go in the first position, and then another is picked to go in the second position, and then another is picked to go into the third position. what are the chances that the resulting sequence is cat ?
There will be 0.84% chances that resulting sequence in cat to occur.
Total number of nucleotides floating around = 10
Let the event of picking cat be "A"
Number of cat in group = 3
Probability of picking cat is picked at first position = P(A1) = 3 / 10
= 0.3
Probability of picking cat is picked at second position = P(A2) = 2 / 9
= 0.223
Probability of picking cat is picked at third position = P(A3) = 1 / 8
= 0.125
so , probability of picking cat in first position and again in second position and again in third position will be = P(A1) . P(A2) . P(A3)
= 0.3 × 0.223 × 0.125
= 0.0084 required probability
There will be 0.84% chances that resulting sequence in cat
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In a study of cell phone usage and brain hemispheric dominance, an internet survey was e-mailed to subjects randomly selected from an online group involved with ears. There were surveys returned. Use a 0. 01 significance level to test the claim that the return rate is less than 20%. Use the p-value method and use the normal distribution as an approximation to the binomial distribution.
The statistics z is -1.878 and the p value is 0.0302
Given,
Number of random sample selected, n = 6967
Number of surveys returned, x = 1331
Estimated proportion of return rate;
p = 1331/6967 = 0.192
Significance level, ∝ = 0.01
z would represent the statistic
We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:
Null hypothesis, p₀ ≥ 0.2
Alternative hypothesis, p₀ < 0.2
The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)
That is,
z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878
Using the alternative hypothesis and the following probability, we can now get the p value:
p value = p(z < - 1.878) = 0.0302
We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.
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What is the value of x?
Round to the nearest
tenths place.
13 ft
X
15 ft
Answer:
7.5 feet
Step-by-step explanation:
We can use the Pythagorean therom
x=square root of 15^2-13^2
x= square root of 225-169
x=square root of 56
x=7.5
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What is the slope of the line
Answer:
The answer to this question is undefined or c
Step-by-step explanation:
A horizontal line has a slope of 0 because it does not go vertically and a vertical line has a slope of undefined because it does not go horizontally
D. Are the points on the line included in the solution set to the inequality 2y-x>1? Why or why not?
[No/Yes]. The point (-7,-3), which is on the lone,[is/is not] a solution to the inequality
For given inequality 2y-x>1 point (-7,-3) is not the solution set of given inequality.
Inequality:
Inequalities are mathematical sentences formed by relating two expressions to each other.
Different inequality sign are:
x>y ,
x is greater than y
x≥y
x is greater than or equal to y
x<y
x is less than y
x≤y
x is less than or equal to y
Given inequality is,
2y - x > 1
In the given inequality
L.H.S (Left hand Side) = 2y - x
R.H.S (Right Hand Side) = 1
and the given point is (-7,-3)
Left hand Side at point (-7,-3)
L.H.S = 2y - x
= 2 (-3) - (-7)
= -6 + 7
= 1
and
Right Hand Side = 1
Here we can see both L.H.S and R.H.S are equal,but in the given inequality there is no equality,so the point (-7,-3) is not the solution set.
Thus we conclude,
(-7,-3) is not the solution set of given inequality.
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write a system of linear equations containing 2x+y=0 and that has the solution (2,-4)
The linear equation y = 5 · x - 14 is a possible equation that intercepts the line 2 · x + y = 0 at point (x, y) = (2, - 4),
What is the remaining equation of a system of linear equations?
To generate a system of linear equations, we need to derive an additional that intercepts the line 2 · x + y = 0 at point (x, y) = (2, - 4). We need to find an equation of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.Please notice that there are more than a single choice. First, choose the slope of the line:
m = 5
Second, substitute the slope and the independent and dependent variables:
b = y - m · x
b = - 4 - 5 · 2
b = - 14
Third, write the resulting linear equation:
y = 5 · x - 14
The linear equation y = 5 · x - 14 is a possible equation of the system of equations.
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if f(x)=-3x+9, find the value of 3f (2)-2f(0)
im gonna cry some1 pls help me
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 4. If there were 8085 total votes, how many no
votes were there?
There are 2940 no votes.
From the question, we have
there were 8085 total votes
ratio= 7 :4
No votes = 4/11*8085
=2940
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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Possible values for the area A of the rectangle shown are 12 ≤ A ≤ 36.
The rectangle sides are 2x+1 and 3
A compound inequality for this situation is 12 ≤
Choose...
≤ 36.
The solution to the compound inequality in Part A is
≤ x ≤
.
The compound inequality is 12 ≤ 6x + 3 ≤ 36. and the solution is 1.5 ≤ x ≤ 5.5
How to determine the compound inequality?The compound inequality is represented as
12 ≤ A ≤ 36.
Such that
A represents the area of the rectangleThe sides of the rectangle are 2x+1 and 3The area of the rectangle is calculated as
A = Product of the sides
So, we have the following representation
A = (2x + 1) * 3
Evaluate
A = 6x + 3
Substitute A = 6x + 3 in 12 ≤ A ≤ 36.
So, we have
12 ≤ 6x + 3 ≤ 36.
The solution to the inequalityIn (a), we have
12 ≤ 6x + 3 ≤ 36
This gives
9 ≤ 6x ≤ 33
Divide by 6
1.5 ≤ x ≤ 5.5
So, the result is 1.5 ≤ x ≤ 5.5
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state police set up a roadblock to estimate the percentage of cars with up-to-date registration, insurance, and safety inspection stickers. it would be too inconvenient and costly to check every vehicle that passes through a checkpoint, so they decide to stop about 1/20 of the vehicles. why would a simple random sample be unreasonable for this situation? responses if the police used a list of registered automobiles, they would have to track down each of those owners and the unregistered owners would not be on the list. if the police used a list of registered automobiles, they would have to track down each of those owners and the unregistered owners would not be on the list. randomly picking cars wouldn't be fair to the people who ride the bus. randomly picking cars wouldn't be fair to the people who ride the bus. police might choose cars based on how they look. police might choose cars based on how they look. if they randomly picked cars at a grocery store it wouldn't be a good sample size. if they randomly picked cars at a grocery store it wouldn't be a good sample size.
The set up a roadblock to estimate the percentage of cars with up-to-date registration, insurance, and safety inspection stickers is given as below as
Cars, Are cars up to date, Select the car to check, Stopped cars, Convenience sampling ,The cars that are not stopped might be having more problems
Given that,
The Population
The Population parameter of interest
The Sampling frame
The Sample
The Sampling Method, Including whether or not randomization was employed.
Any potential source of bias you can detect any problems you see in generalizing to the population of interest.
To find : The set up a roadblock
A. Cars
B. Are cars up to date
C. Select the car to check
D. Stopped cars
E. Convenience sampling
F. The cars that are not stopped might be having more problems
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What is the solution to |x-9| -3 < 1
Answer:
[tex]x < 13[/tex] and [tex]x > 5[/tex]
Step-by-step explanation:
Take a look at the attachments...
Hope this helps! :)
HELP ME PLEASE, NEEDED ASAP
Answer:
a x=10
b x=7
Step-by-step explanation:
(a) 2(x+3) = x - 4
2x+6 = x - 4
2x+6-6= x-4-6
2x=x-10
2x-x=x-10-x
x=10
(b) 4(5x-2) = 2(9x+3)
20x-8 =18x+6
20x-8+8=18x+6+8
20x=18x+14
20x-18x =18x+14-18x
2x=14
/2 /2
x = 7.
HELP ASAP!! Josephine was building a community playground. The playground had to be fenced. The perimeter of the fence is 54 feet, and the width of the playground is 12 feet. Use the perimeter formula to find the length of his rectangular yard in inches: P = 2L + 2W. (1 foot = 12 inches)
15 in.
30 in.
42 in.
180 in.
Answer:
It is C
Step-by-step explanation:
Help please thank you.
The equation of straight line plotted on the graph are all attached below
Graph of Straight LineThe general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept. It is the most common form of the equation of a straight line that is used in geometry. The equation of a straight line can be written in different forms such as point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a two-dimensional geometrical entity that extends on both its ends till infinity.
For straight line graphs there is a linear relationship between the x and y values and so the line is straight and must be drawn with a ruler. The gradient determines how steep the line is and the y-intercept tells us the location where the straight line intersects the y-axis.
Linear means straight and a graph is a diagram which shows a connection or relation between two or more quantity. So, the linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.
Question 1;
The point is (-2, 5) and it has a slope of 2/3
We can find the y-intercept of the graph and then plot it's coordinate.
y = mx + c
5 = 2/3(-2) + c
c =19/3
The equation of the line is y = 2/3x + 19/3 or 3y = 2x + 19
We can proceed to use a graphing calculator to plot this.
Question 2;
The two given which the line pass across are (-2, -1) and (-3, 3)
Using a graphing calculator, the graph is attached below.
Question 3;
The equation 4x - 5y = 20 can be plotted as a straight line graph which is attached below.
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9t(t-2) + 10(t-2) factor
Answer: (9t + 10)(t - 2)
Step-by-step explanation:
9t (t − 2) + 10(t − 2)
9t^2 − 8t − 20
= (9t + 10)(t − 2)
Sarah used 2. 5 cups of cheese in a dish that serves 10 people. Amyn used 1. 6 cups of cheese in a dish that serves 8 people. How much more cheese is in one serving of sarah’s dish?.
Answer: In one serving of Sarah's dish 0.05 more cheese than in one serving of Amyn's dish.
Given: Sarah used cups of cheese in a dish that serves people and Amyn used cups of cheese in a dish that serves people.
Now, the amount of cheese served by Sarah for a people is.
And the amount of cheese served by Amyn for a people is
Therefore, the difference between the amount of cheese served by Sarah and Amyn is calculated as
Cheese served by Sarah's in one serving cheese served by Amyn's in one serving
Hence, 0.05 more cheese is in one serving of Sarah's dish.
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Step-by-step explanation:
Identify the vertical asymptotes and horizontal asymptote of each.
Vertical asymptotes is x = -4 and horizontal asymptote is y = 1
What is an Asymptote?
An asymptote is a line that a curve approaches but never touches. A line where the graph of a function converges is known as an asymptote.
There are 3 types of asymptotes.
Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k.Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k.Slanting asymptote (Oblique asymptote) - It is a slanting line and hence its equation is of the form y = mx + b.The given expression,
f(x) = (x² - 3x) / (x² + x - 12)
First, find Horizontal asymptote
so,
Horizontal asymptote (y) = (leading coefficient of numerator) / (leading coefficient of denominator)
leading coefficient of numerator = 1
leading coefficient of denominator = 1
y = 1/1
y =1 (Horizontal asymptote)
Now, find Vertical asymptote
so, let's simplify the expression f(x) = (x² - 3x) / (x + x - 12)
f(x) = (x(x - 3) ) / (x² + 4x - 3x - 12)
f(x) = (x(x - 3) ) / (x(x + 4) - 3 (x + 4) )
f(x) = (x(x - 3) ) / ( (x -3) (x + 4) )
f(x) = x / (x + 4)
Now, put the denominator = 0
x + 4 = 0
x = -4 ( Vertical asymptote )
Hence, Vertical asymptotes is x = -4 and horizontal asymptote is y = 1
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A car travels at 80km/h. How many km does the car travel in 27 minutes
wallpaper is sold on rolls that are 27 inches wide. Tazio needs to cover a wall that is 80 square feet. To figure out how many feet of wallpaper to buy, she will divide 80 by the width of the wallpaper roll in feet. how wide is the roll in feet?
please help asap tysm<3
The length of the wallpaper of 27 inches wide required is 35.56 feet
How to determine the length of the wallpaper requiredThe problem requires conversion of the dimensions to have similar unit
To convert 80 square feet to square inches. we multiply by 144
80 * 144 = 11520 square inches
area = length * wide
11520 = length * 27
length = 11520 / 27
length = 426.667 feet
to get the length in inches we divide the unit in feet by 12
length = 426.667 inches / 12
length = 35.56 feet
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Jada has 12 library books checked out and Han has 13less than that. How many books does Han have checked out?
Answer:
-1
Step-by-step explanation:
Jada = 12 books
Han = 13 less books than Jada
12-13= -1
Han would have negative 1 books but in this situation it would not be possible.
Please help me ASAP!!! Answer both questions for example: 1= C and 2= A
Answer:
x+4x=25
A: 0<x<=25 0<y<=75
Step-by-step explanation:
(ITS DUE TODAY)Find the slope of the line that passes through Point A (3,-7) and Point B (0,-3), using the formula m= y2-y1/x2-x1.
Given RWS~TUV find the values of x and y
For the given measurement of the congruent triangles RWS and TUV, the value of x = 4° and y = 10 units.
As given in the question,
For the given congruent triangles,
ΔRWS ≅ ΔTUV
⇒ RWS ↔ TUV
⇒RW ≅TU , RS ≅TV , WS ≅ UV
And ∠W ≅ ∠U , ∠R ≅ ∠T , ∠S ≅ ∠V
Given measurements are :
m ∠W = 90°
m ∠R = ( 8x + 26)°
m ∠V = 32°
∠S ≅ ∠V
⇒ m ∠S = 32°
m ( ∠R + ∠W + ∠S ) = 180°
⇒ 8x° + 26° + 90° + 32° = 180°
⇒8x° = 180° -148°
⇒ x° = 32°/8
⇒ x= 4°
RS ≅TV
⇒30 = 2y + 10
⇒2y = 20
⇒y= 10 units
Therefore, for the given measurement of the congruent triangles RWS and TUV, the value of x = 4° and y = 10 units.
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please help i is super stuck!!!!!!!!!!!!!!!!!!!!!
There are a couple ways to solve this but I will show you the way I think is easiest:
You should make the fraction parts of the numbers have an equivalent denominator. Right now, the denominators are 10 and 5. It would be best to make both denominators equal 10.
In - 2 [tex]\frac{3}{5}[/tex], 3/5 x 2 = 6/10
So now the fractions are [tex]-10\frac{7}{10} - 2[/tex][tex]\frac{6}{10}[/tex]
Remember the sign rules!
The answer is - 13[tex]\frac{3}{10}[/tex]
I hope this helps!
Answer:
[tex]-\frac{133}{10}[/tex]
Step-by-step explanation:
[tex]-10\frac{7}{10}[/tex] = [tex]-\frac{107}{10}[/tex] (10x(-10)+7)
[tex]-2\frac{3}{5}[/tex] = [tex]-\frac{13}{5}[/tex] (5x(-2)+3)
lcm of 10 and 5 is 10:
[tex]-\frac{107}{10} -\frac{13}{5}[/tex]
[tex]\frac{-107-26}{10}[/tex]
[tex]-\frac{133}{10}[/tex]
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Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs ...
a) The hypothesis are given as follows:
Null: [tex]H_0: \mu_d \leq 0[/tex]Alternative: [tex]H_1: \mu_d > 0[/tex]b) The significance level is of α = 0.1.
c) The test statistic is of: t = 4.86.
d) The p-value is of: 0.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence that the mean level is greater at the bottom of the surface, that is, if the mean is not positive, hence:
[tex]H_0: \mu_d \leq 0[/tex]
At the alternative hypothesis, it is tested if there is enough evidence that the mean level is greater at the bottom of the surface, that is, if the mean is positive, hence:
[tex]H_1: \mu_d > 0[/tex]
As stated in the problem, the significance level is of:
α = 0.1.
How to calculate the test statistic?
The test statistic is calculated by the formula presented as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The variables of this formula are listed as follows:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null and at the alternative hypothesis.s is the standard deviation of the sample.n is the sample size.From the table, the sample is composed by the differences and given as follows:
0.015, 0.028, 0.177, 0.121, 0.102, 0.107, 0.019, 0.066, 0.058, 0.121.
The above sample is inserted into a calculator, to obtain the parameter values given as follows:
[tex]\overline{x} = 0.0814, \mu = 0, s = 0.053, n = 10[/tex]
Hence the numeric value of the test statistic is given as follows:
t = (0.0814 - 0)/(0.053/sqrt(10))
t = 4.86.
What is the p-value?Using a t-distribution calculator, considering a right-tailed test, as we are testing if the mean is greater than a value, with 10 - 1 = 9 df and t = 4.86, the p-value is of 0.
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