The system of equations is x + y = 16 & 6x + 4y = 76, then the amount x is 6 yards of regular quilting fabric and the amount y is 10yards of sateen fabric she purchased.
She bought 6 Sateen fabrics and 10 quilting fabrics.
She uses quilt to make two types of fabrics.
Let the amount of each sateen fabric = x
Let the amount of each quilting fabric = y
The Sateen fabrics cost $6 per yard.
Therefore, for x amount it will be as follows:
6x
The quilting fabrics cost $4 per yard.
Therefore, for y amount it will be as follows:
4y
A system of equations is a collection of two or more equations with a same set of unknowns.
According to the condition the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 6x and the price of then sateen fabric is 4y;
The 76$ she spends can be written as 4x+6y=76;
Total of 16 yards can be written as x+y=16;
So the required system of Equations is:
⇒4x+6y=76
⇒x + y=16
Therefore,
⇒x + y = 16
⇒6x + 4y = 76
⇒6x + 6y = 96
⇒6x + 4y = 76
⇒2y = 20
⇒y = 20 / 2
⇒y = 10
⇒x + y = 16
⇒x + 10 = 16
⇒x = 16 - 10
⇒x = 6
Therefore, the system of equations is x + y = 16 & 6x + 4y = 76, then the amount x is 6 yards of regular quilting fabric and the amount y is 10yards of sateen fabric she purchased.
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If a battery has a radius of 4 millimeters and a height of 32 millimeters, approximately what is the area of the surface to be covered by the label? Use 3.14 for and round to the nearest hundredth.
The surface area to be covered by the label is 904.32 mm²
Assuming the shape of the battery is cylindrical.
The dimensions of the cylindrical battery:
radius r = 4 millimeters
height h = 32 millimeters
We know that the formula for the surface area of cylinder is:
A = 2πrh + 2πr²
where r is the radius of the cylinder and h is the height of the cylinder
Using this formula of surface area of cylider, the surface area to be covered by the label would be,
A = 2πr(h + r)
A = 2π × 4 × (32 + 4)
A = 2 × 3.14 × 4 × 36
A = 904.32 mm²
Thus, the required area = 904.32 sq. mm.
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A car's odometer shows 12138 kilometres at the start of a journey and 12714 kilometres at the end of the journey. How far was the journey?
Answer:
Step-by-step explanation:
To find the distance traveled, we need to subtract the starting odometer reading from the ending odometer reading.
In this case:
Journey distance = 12714 km - 12138 km = 576 km
So the journey was 576 kilometers.
one fair die has faces 1, 1, 2, 2, 3, 3 and another has faces 4, 4, 5, 5, 6, 6. the dice are rolled and the numbers on the top faces are added. what is the probability that the sum will be odd?
The probability that the sum of the two dice will be odd is 2/3.
The probability of getting an odd number from the sum of two fair dice can be calculated as follows:
If both dice show an odd number (1 or 3), the sum will be even.
If both dice show an even number (2 or 4), the sum will be even.
If one die shows an odd number and the other an even number, the sum will be odd.
Since each die has a 1/3 chance of showing an odd number and a 2/3 chance of showing an even number, the probability of getting an odd number is 2/3 * 1/3 + 1/3 * 2/3 = 2/3.
Therefore, the probability that the sum of the two dice will be odd is 2/3.
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which of the following compound conditions are equivalent to the following nested conditionals? if (x > 200): if (y < 200): i. ((x > 200) and (y < 200)) ii. (x > 200 and y > 200) iii. not ((x
the expression are equivalent compound condition for the nested conditionals is (x > 200) and (y < 200).
ii. The equivalent compound condition for the nested conditionals is not (x > 200 and y > 200).
iii. The equivalent compound condition for the nested conditionals is not ((x ≤ 200) or (y ≥ 200)).
The equivalent compound conditions for the given nested conditionals are as follows:
i. The compound condition (x > 200) and (y < 200) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be true for the condition to be satisfied.
ii. The compound condition not (x > 200 and y > 200) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be false for the condition to be satisfied.
iii. The compound condition not ((x ≤ 200) or (y ≥ 200)) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be false for the condition to be satisfied.
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9. In June, Maxwell's father
comes to live in their home and
can count as Maxwell's
dependent. What steps does
Maxwell need to take next? *
Income
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rom all of these jo
married filing joint
(a) Us
There are no steps Maxwell needs to
take
DO O
are Information o
Submit a new W-4
also
Com
home for your
Add to Step 3 so that Maxwell claims
an additional $500 for a dependent
om with
- ON:
Verbally tell the HR department at Big
City Office Furniture
Maxwell's father comes to live with him in his house, and his number of dependents has now increased.
Maxwell can count his father as his dependent if his father is not able to earn his own livelihood. Maxwell should submit a new W4 form clearly mentioning his father as his dependent.
A W4 form is used to inform employers about withholding correct federal income tax on the employee pay.
This is based on the allowances deducted for the dependents and then the income left is subject to tax.
Maxwell can claim an allowance for his father. The correct option is to Submit a new W4 form.
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What is the measure of ABE
If <A = 51° then the measure of angle ABE be 39°.
What is meant by right angled triangle?The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side that faces the right angle and is also the side with the longest side in a right triangle, and the height and base are the two arms of the right angle.
It is 90 degrees at a right angle. Angles smaller than 90 degrees are considered sharp angles. More over 90 degrees is considered an obtuse angle. Additionally, these angles aid in categorizing the various triangular varieties.
ΔABE = 180 degree
Let the equation be
∠A + ∠B + ∠E = 180 degree
simplifying the above equation, we get
51° + ∠B + 90° = 180°
∠B = 180° - 90° - 51°
∠B = 39°
Therefore, the measure of angle ABE be 39°.
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Find an equation for the line that passes through the points (-2, 1) and (4, 3)
Answer: y=x/3 + 5/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
To find the equation of the line that passes through the points (-2, 1) and (4, 3), we can use the point-slope form of a line.
Point-slope form of a line: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.
Step 1: Find the slope:
We can use the two points to find the slope:
m = (y2 - y1) / (x2 - x1) = (3 - 1) / (4 - (-2)) = 2
Step 2: Use the point-slope form:
y - 1 = 2(x - (-2))
y - 1 = 2x + 4
y = 2x + 5
The equation of the line that passes through the points (-2, 1) and (4, 3) is y = 2x + 5. This is the standard form of the line.
Chloe has already read 50 pages of a book and reads 40 additional pages per hour. Write the equation of the line that represents the number of pages read y in x hours. Plus sign Minus sign Multiplication sign Division sign Big fraction Superscript (Ctrl+Up) Square root Root Equals sign Not equal to Less-than sign Greater-than sign Less-than or equal to Greater-than or equal to Parentheses Pi
In the given situation, the required equation will be 40x + 50 = P where P is the total pages read and x is the number of hours read.
What is an equation?A mathematical equation, such as 6 x 4 = 12 x 2, states that two amounts or values are equivalent a meaningful noun.
An equation is used when two or more factors must be considered jointly in order to understand or explain the whole situation.
So, in the question we have:
50 pages of the book already read by Chole.
He reads 40 pages every hour.
He reads for more x hours.
Then, accordingly, the equation will be:
40x + 50 = P
Where x is the number of hours read and P stands for the total pages read.
Therefore, in the given situation, the required equation will be 40x + 50 = P where P is the total pages read and x is the number of hours read.
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-A student is chosen randomly from the group. What is the probability that the student ONLY takes History Class?
-A student is chosen randomly from the group. What is the probability that the student takes BOTH History and Biology?
-A student is chosen randomly from the group. What is the probability that the student does NOT take History or Biology?
-A student is chosen randomly from the group. What is the probability that the student takes Biology class?
Help me, please
To find the probability that the student ONLY takes History Class, we need to divide the number of students taking only History (37) by the total number of students (150).
What is probability?Probability is the measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability can be used to analyze and make predictions about a wide range of situations, including games of chance, weather patterns, financial markets, and more.
Here,
Using the given numbers, we can calculate the probabilities as follows:
To find the probability that the student ONLY takes History Class, we need to divide the number of students taking only History (37) by the total number of students (150):
P(ONLY History) = 37/150 = 0.2467 or approximately 24.67%
To find the probability that the student takes BOTH History and Biology, we need to divide the number of students taking both (25) by the total number of students (150):
P(History AND Biology) = 25/150 = 0.1667 or approximately 16.67%
To find the probability that the student does NOT take History or Biology, we need to add the number of students taking neither History nor Biology (21) to the number of students taking only Biology (17), and then divide by the total number of students:
P(Neither History nor Biology) = (21 + 17)/150 = 0.2533 or approximately 25.33%
The complement of this event (i.e., the probability of taking either History or Biology) is:
P(History or Biology) = 1 - P(Neither History nor Biology) = 1 - 0.2533 = 0.7467 or approximately 74.67%
To find the probability that the student takes Biology class, we need to add the number of students taking both History and Biology (25) to the number of students taking only Biology (17), and then divide by the total number of students:
P(Biology) = (25 + 17)/150 = 0.2133 or approximately 21.33%
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Como despejar x en y = 10x - 1
Answer:
x= y+1/10
Step-by-step explanation:
y = 10x-1
y+1 = 10x
y+1/10 = x
y+1/10
Step-by-step explanation:
1. Add 1
2.divide by 10
x − y = 8 x + 4 y = 13
Answer:
x=9, y=1
Step-by-step explanation:
Give brainlist, please
If a two system of equation passes to the origin (0,0), How many solutions does it have?
A) One solution
B) infinity many solution
C) No solution
D) none of the above
Which equation represents a function?
Responses
A y = ±2x + 3y = ±2x + 3
B x2
+ y2
= 16x 2 + y 2 = 16
C y = ±3x+8−−−−−√
y = ± 3 x + 8
D y2
= -5x - 8y 2 = -5x - 8
E x = 4y + 7
Option (A) (y = ±2x + 3) represents a function. In this equation, for every value of x, there is only one corresponding value of y, which satisfies the equation.
A function is a relation between two variables where each input is associated with exactly one output. To determine if an equation represents a function, we can use the vertical line test.
Out of the given options, only equation A (y = ±2x + 3) represents a function. In this equation, for every value of x, there is only one corresponding value of y, which satisfies the equation. When plotted on a coordinate plane, a vertical line will intersect the graph at most once for every value of x.
Equations B[tex](x^2 + y^2 = 16)[/tex], C[tex](y = \pm3x + 8)[/tex], D [tex](y^2 = -5x - 8)[/tex], and E [tex](x = 4y + 7)[/tex] do not represent functions. In these equations, a vertical line will intersect the graph more than once for some values of x, meaning that there are multiple outputs for a single input, which violates the definition of a function.
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find length of segment bd round to tenths place
Answer:
BD = 2.4
Step-by-step explanation:
the answer can be easily found by using pythagoreans theorem.
BD = height (h)
3 = SqrRt ( 1.8² + h² )
3² = 1.8² + h²
9 - 1.8² = h²
5.76 = h²
h = 2.4
WILL GIVE brainliest HELP ASAP
Answer:
E,B are the answers.
Step-by-step explanation:
Fred's dog has been putting on weight and the veterinarian is concerned. At the dog's most recent veterinarian appointment in September the dog weighed 45 pounds. This was a 25% increase since the dog's last veterinarian appointment that was in March. How much did Fred's dog weigh at the veterinarian appointment in March?
The weight of Fred's dog at the veterinarian appointment in March is 36 pounds.
How much did Fred's dog weigh at the veterinarian appointment in March?Fred's dog weight in September= 45 pounds
Percentage increase= 25%
Fred's dog weight in March = x
45 = x + (25% of x)
45 = x + 0.25x
45 = 1.25x
divide both sides by 1.25
x = 45/1.25
x = 36 pounds
Hence, Fred's dog weighs 36 pounds in March.
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There are 750 calories in ten ounces of a certain ice cream. How many calories are there in three pounds?
1 pound = 16 ounces
How many ounces will you need to find the number of calories for?
There are 2880 calories in three pounds of the ice cream.
There are 750 calories in ten ounces of a certain ice cream.
Total calories=750
Number of ounces given=10
Ten ounces=750 calories1 ounce=75 caloriesFirst, we need to convert three pounds to ounces:
Since there are exactly 16 ounces in one pound, just multiply the number of pounds by 16 to make the conversion. Then answer will be in ounces.⇒1 pound=16 ounces
⇒3 pounds = 3 * 16 ounces = 48 ounces
So, we need to find the number of calories in 48 ounces of the ice cream.
Since there are 750 calories in ten ounces, then there will be
⇒[tex]750*\frac{48}{100}[/tex]750 = 2880 calories in 48 ounces.
Therefore, there are 2880 calories in three pounds of the ice cream.
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a bike tire was 1/2 full it took a small air compressor 3 1/3 seconds to fill it up how long would it have taken to fill a empty tire
Answer:7 seconds
Step-by-step explanation:
it would take 7 seconds second to fill in a inTIRE empty bike
3 1/2 *2=7
3. Write an exponential function for each set of points.
a. (0, 3), (1, 12), (2, 48), (3, 192), and (4, 768)
The exponential function for each set of points is y = 3 * 2ˣ,
What is the exponential function?
An exponential function is a Mathematical function in form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.
The exponential function can be described as y = 3 * 2ˣ,
where,
x is the input value
and y is the output value.
This function says that for every increase in x by 1 unit, the value of y will be multiplied by 2, starting from an initial value of 3.
For example, when x = 0, y = 3 * 2⁰ = 3, and when x = 1, y = 3 * 2¹ = 12.
Hence, the exponential function for each set of points is y = 3 * 2ˣ,
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Please help me with this math problem!! Will give brainliest!! :D 20 POINTS!!!
a) 100%
b) 19/50 or 38%
I want to build a rectangular garden so that the length is 45 meters more than twice the width. I have 1350 meters of fencing available. What dimensions should I make the garden?
Answer:
Step-by-step explanation:
Let's start by defining the variables for the problem. Let's say that:
w = the width of the rectangular garden (in meters)
l = the length of the rectangular garden (in meters)
We know that the length is 45 meters more than twice the width, so we can write:
l = 2w + 45
We also know that we have 1350 meters of fencing available to enclose the rectangular garden. The perimeter of the rectangular garden is equal to the sum of the lengths of all four sides. Since there are two sides of length w and two sides of length l, we can write:
Perimeter = 2w + 2l
Substituting the expression for l that we derived earlier, we get:
Perimeter = 2w + 2(2w + 45)
Perimeter = 6w + 90
We know that the perimeter of the rectangular garden is equal to 1350 meters, so we can write:
1350 = 6w + 90
Solving for w, we get:
6w = 1260
w = 210
Now that we know the value of w, we can use the expression for l that we derived earlier to find the length:
l = 2w + 45
l = 2(210) + 45
l = 465
Therefore, the dimensions of the rectangular garden should be 210 meters by 465 meters.
When switching x and y, the result is always an inverse ________(relation or function).
function is the answer of this question
(PLS HELP!!!)
The medians of ADEF are DK, EL, and FJ. They meet at a single point M.
(In other words, M is the centroid of ADEF.)
Suppose EL=24, DM = 12, and FM = 6.
Find the following lengths.
Note that the figure is not drawn to scale.
Answer:
DK = 18
MJ = 3
ML = 8
Step-by-step explanation:
In this problem, we need to use the Median of a Triangle Formula. This formula states that EM/EL = FM/JF = DM/DK = 2/3. To implement this into our question, we can write ML/EL = 1/3, so we get that ML = 24/3 = 8. We also know that MJ/FM = 1/2, so MJ = 6/2 = 3. Finally, DM/DK = 2/3, so DK = (12*3)/2 = 18. Hope this is correct.
(In a survey of a group of 180 students, 50 students like cricket game only, 30 students like basketball game only and 50 students do not like both games.): i)Represent the above information in a Venn-diagram. ii)Find the ratio of the students who like cricket game and basketball game.
Answer:
Ratio of cricket to basketball = 5:3
Venn diagram attached below
Step-by-step explanation:
Ratio =
50 people like cricket
30 people like cricket
50:30
simplified
= 5:3
Juan wants to buy a guitar. The regular price of the guitar is $329.99. The sales price of the guitar is 25% off of the regular price. Juan most Pat 7.25% sales tax in addition to the sales price of the guitar. What is the total amount Juan must pay for the guitar?
The supplied document states that Juan must pay $265.32 in total for the instrument.
By sales, what do you mean?Any transaction in which goods or services are exchanged for cash is referred to as a sale. In other words, a transaction is any activity that involves transferring ownership of a good or service to the buyer in exchange for cash.
The instrument costs $329.99 at standard pricing.
$329 * 25% = $82.50
The guitar's discount price is thus $329.99 less $82.50, or $247.49.
7.25% of the purchase price is used to compute sales tax.
Therefore, $247.49 * 7.25% = $17.83
As a result, we eventually tack on the taxation to the purchase price to determine Juan's final obligation to pay for the guitar.
$247.49 + $17.83 = $265.32
The total price that Juan shall pay for something like the guitar is thus $265.32.
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(x − 1)2 = −4 How many distinct real solutions does the given equation have? A) Exactly one B) Exactly two C) Infinitely many D) Zero
Answer:
It's exactly one
Step-by-step explanation:
You can test:
Op1:
x = -1
==> -1-1 = -2 then -2x2 = -4 (This's right)
Op2:
x = 1
==> 1-1=0 (this's wrong)
So ==> Ans is A) Exactly one
#JS1T
The given quadratic equation has exactly two solutions. Therefore, option B is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given quadratic equation is (x-1)²= -4.
Square root on both the sides we get
√(x-1)²=√(-4)
x-1=±2i
x=±2i+1
x=2i+1 and x=-2i+1
Therefore, option B is the correct answer.
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a) Complete the table of values for y = x^2 - 4 x
b) Which of the three curves drawn matches the graph of y = x^2 - 4x
On solving the provided question, we can say that from the graph[tex]y = x^2 - 4x[/tex], x = 0, y = 0 and x =2, y = 0
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.
from the graph,
[tex]y = x^2 - 4x[/tex]
so,
x = 0, y = 0
x = -1,
y = 5
and x =2, y = 0
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Which model shows and angle that appears to represent 45/360 of a circle
A protractor is a tool used for measuring and drawing angles. It is typically a semi-circular piece of plastic or metal with a degree scale marked along its curved edge.
The scale typically ranges from 0 to 180 degrees, which covers half a circle. To measure or draw an angle of 45 degrees, you would line up the protractor's baseline with one arm of the angle and use the degree scale to find 45 degrees. If you are drawing the angle, you would then use a straightedge to extend the other arm of the angle from the point where it intersects the 45-degree mark on the protractor.
It's important to note that the 45-degree angle represents 45/360 of a full circle, which is equal to one-eighth of a full rotation. This means that if you were to rotate the angle around its vertex, it would make one-eighth of a full circle before aligning with its original position.
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If $100 is increased by 15% it then becomes?
Answer:
$115
Step-by-step explanation:
If $100 is increased by 15%, it becomes $100 + 0.15 * $100 = $100 + $15 = $115.
Answer: 115
Step-by-step explanation:
100 x 0.15 = 15 so, 100 + 15 = 115
what is another term for the average value of a distribution?
The another term for the average value of a distribution is "mean."
The mean is a commonly used measure of central tendency that represents the average value of a set of data. It is calculated by summing up all the values in a dataset and dividing by the total number of observations. The mean is a useful tool for summarizing the general tendency of a dataset and is used as a basis for other statistical calculations such as variance and standard deviation.
However, the mean is sensitive to outliers, meaning that a few extreme values in a dataset can greatly affect the mean. For this reason, it's sometimes necessary to use other measures of central tendency, such as the median or mode, to get a better understanding of the central tendency of a dataset.
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