we have
2x-9y = 13
solve for y
That means -----> isolate the variable y
step 1
subtract 2x both sides
-9y=-2x+13
step 2
Divide by -9 both sides
y=(-2/-9)x+(13/-9)
y=(2/9)x-13/9late the variable ystep 1
subtract 2x both sides
-9y=-2x+13
step 2
Divide by -9 both sides
y=
Please help! Which point represents-2 3/8
Answer:B
Step-by-step explanation:
What is the area of this triangle?
150 cm²
210 cm²
315 cm²
420 cm²
Answer:
\(area = \frac{1}{2} (base)(height) \\ area = \frac{1}{2} (35cm)(12cm) \\ area = \frac{1}{2} (420 {cm}^{2} ) \\ area = 210 \: {cm}^{2} \)
The area of the triangle with height 12 cm and base 35 cm is A = 210 cm²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the base of the triangle is AB = 35 cm
The height of the triangle is BC = 12 cm
And , the area of the triangle = ( 1/2 ) x Length x Base
On simplifying , we get
Area of the triangle A = ( 1/2 ) x 12 x 35
Area of the triangle A = ( 6 x 35 )
Area of the triangle A = 210 cm²
Hence , the area of the triangle is 210 cm²
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15 mm
4. You are decorating the Red Cross logo
shown for a float in a parade.
a) The Red Cross logo consists of 5 congruent
squares. Find the area of the Red Cross logo.
+
b) You estimate that on average a red carnation
will cover 2 square inches and a red rose will cover
3 square inches. How many roses do you need to
cover the logo on the float?
36 in
c) You are on a budget. Carnations cost $1.00 and
roses cost $1.50. Should you cover the logo with
carnations or roses? Justify your answer.
I am lost on this question i found both but it keeps on telling me i am incorrect
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
What is the area of the circle shown below?
A.
25.1 cm2
B.
804.2 cm2
C.
50.3 cm2
D.
201.1 cm2
Answer:
A = 201.0619298 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi ( 8) ^2
A = 64 pi
Letting pi = pi button
A = 201.0619298 cm^2
Answer:
The answer is option DStep-by-step explanation:
Area of a circle is πr²
where r is the radius
From the question r = 8cm
So the area of the circle is
π(8)²
= 64π
= 201.061
= 201. 1cm²Hope this helps you
Can you solve the problems
Las ecuaciones de la demanda y la oferta de cierto producto están dadas por espacio 4 q al cuadrado más p al cuadrado igual 1405 y p igual q más 10 donde p está en dólares por unidad y q está en unidades. Para un precio de 27 dólares por unidad, determine el gasto real del consumidor.
The actual consumer spending at a price of $27 per unit is $268.26.
How to calculate the priceSubstitute the given price into the supply equation to get the corresponding quantity supplied:
p = q + 10
27 = q + 10
q = 17
Substitute q = 17 into the demand equation to get the corresponding price:
4q² + p² = 1405
4(17)² + p² = 1405
p² = 1405 - 1156
p² = 249
p = 15.78
The actual consumer spending can be calculated by multiplying the quantity demanded by the price:
Actual consumer spending = quantity demanded x price per unit
= 17 x 15.78
= $268.26
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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.
What’s the correct answer answer asap for brainlist
Answer: serbia
Step-by-step explanation:
The perimeter is 54 m. The apothem is \root(3)(3) . To the nearest tenth, what is the area of this regular polygon?
The area of this regular polygon is 46.8 square units
How to determine the area of this regular polygon?The given parameters are:
Perimeter, p = 54 m
Apothem, a = √3
The area of this regular polygon is then calculated as:
Area = 0.5 * Apothem * Perimeter
Substitute the known values in the above equation
Area = 0.5 * √3 * 54
Evaluate the product
Area = 46.8
Hence, the area of this regular polygon is 46.8 square units
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Suppose that, starting at a certain time, batteries coming off an assembly line are examined one by one to see whether they are defective (let D = defective and N = not defective). The chance experiment terminates as soon as a nondefective bettery is obtained.a. Give five possible outcomes for this chance experiment.b. What can be said about the number of outcomes in the sample space?c. What outcomes are in the event E, that the number of battery examined is an number?
Answer:
a. Possible outcomes for this chance experiment are:
NDNDDNDDDNDDDDN(Here, D means a defective battery, and N means a nondefective battery.)
b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.
c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.
Please anyone that can help me
Answer:
\(|\frac{x}{y} |\)
Step-by-step explanation:
Pre-SolvingWe are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.
We want to simplify it.
To do that, we can first simplify what is under the radical, then take the square root of what is left.
Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.
SolvingTo simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).
So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .
Under the radical, we now have:
\(\sqrt{x^2y^{-2}}\)
Now, we take the square root of both exponents to get:
\(|xy^{-1}|\)
The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.
However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.
Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).
So, by using that,
\(|x * \frac{1}{y} |\)
This can be simplified to:
\(|\frac{x}{y} |\)
Convert 50°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=5/9(F-32)
F=9/5C+32
Answer:
10°C
Step-by-step explanation:
F = 50
C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10
Levi invested $160 in an account paying an interest rate of 3% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 8 years?
Answer:
The amount is $200.00 and the interest is $40.00
Step-by-step explanation:
1/6 (x-3) = 1/3 (x+2)
The value of x in the equation given as 1/6(x - 3) = 1/3(x + 2) is 7
How to evaluate the equation?The equation is given as
1/6(x - 3) = 1/3(x + 2)
From the question, we can see that the equation is a linear equation with one variable
As a general rule: linear equations are equations that have constant average rates of change.
We start by multiplying both sides of the equation by 6
So, we have the following equation
6 * 1/6(x - 3) = 1/3(x + 2) * 6
Next, we evaluate the products
So, we have the following equation
x - 3 = 2x + 4
Next, we collect the like terms
So, we have the following equation
2x - x = 3 + 4
Evaluate the like terms in the above equation
x = 7
This means that the solution of the equation is 7
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If you earned $60 from $500 in sales , What is the percent commission?
Answer:
300
Step-by-step explanation:
mya ran 5/8 mile, hank ran 4/7 mile, and tommy ran 7/11. who ran the farthest
Answer:
Tommy, 7/11 miles
Step-by-step explanation:
5/8 equals .625, 4/7 equals .571, 7/11 equals .636. Therefore, Mya ran the farthest
If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
Given m∠ABC=37°m∠ABC=37°and m∠CBD=165°m∠CBD=165°. According to the Angle Addition Postulate, what is the measure of ∠ABD∠ABD, that contains −−→BCBC→?
According to the Angle Addition Postulate, the measure of m∠ABD = 202°.
What is an angle addition postulate?According to the Angle Addition Postulate, an angle's measure is equal to the sum of the measures of any two adjacent angles. The Angle Addition Postulate can be used to determine the measurement of a missing angle or to determine the angle produced by two or more other angles.
Given:
The angle measures:
m∠ABC=37°,
and m∠CBD= 165°.
So, according to the angle addition postulate;
m∠ABD = m∠ABC + m∠CBD
Substituting the values,
m∠ABD = 37° + 165°
m∠ABD = 202°
Therefore, the angle measure of m∠ABD = 202°.
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A
B
C
D
37. What is the length of side P in the figure below?
6.7 cm
11 cm
15 cm
45 cm
20 cm
25 cm
P
The length of the side P is 15 cm. And the right option is C.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
To calculate the length of side P we use Pythagoras theorem's formula
Pythagoras formula:
a² = b²+c²......................... Equation 1Where:
a = Diagonal of the rectangleb = Length of the rectanglec = Width of the rectangleFrom the diagram,
Given:
a = 25 cmb = 20 cmc = p cmSubstitute these values into equation 1
25² = 20²+p²p² = 25²-20²p² = 225p = √225p = 15 cmHence, the right option is C 15 cm.
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Simplify.
Y plus(15+ y)
A.15y
B.15+2y
C.17y
D.15+y
Answer:
2y+15
Step-by-step explanation:
y+(15+y)
y+15+y
(y+y)+15
2y+15
Rewrite the following without an exponent. 2-4
Answer
2⁻⁴ = (1/16) = 0.0625
Explanation
When a variable is raised to the power of a negative number, this is the same as 1 over that variable raised to the positive value of that power.
So,
2⁻⁴ = (1/2⁴) = (1/16) = 0.0625
Hope this Helps!!!
A multiplication table. In the row labeled 3, the numbers 9, 12, 15, 18, and 21 are highlighted. In the row labeled 6, the numbers 18, 24, 30, 36, and 42 are highlighted. Look at the highlighted portions in the rows for 3 and 6. What do the two sets of numbers have in common? They both show products of multiplying by
The common number in both sets will be 18. And the row labeled 6 is the multiplication of the row labeled 3 with 2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A multiplication table.
In the row labeled 3, the numbers 9, 12, 15, 18, and 21 are highlighted.
In the row labeled 6, the numbers 18, 24, 30, 36, and 42 are highlighted.
Look at the highlighted portions in rows 3 and 6.
The common number in both sets will be 18.
The row labeled 6 is the multiplication of the row labeled 3 with 2.
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Answer: the person above is wrong
its 3, 4, 5, 6, and 7
I NEED HELP WITH THIS PLEASE?
Answer:
37°
Step-by-step explanation:
∠CDE and ∠ABE are alternate interior angles, so are congruent. That is, if we find ∠ABE, we have the answer to the question.
∠DEA is an exterior angle to ∆ABE, so is equal to the sum of the remote interior angles:
∠DEA = ∠ABE +∠BAE
62° = ∠ABE +25°
∠ABE = 62° -25° = 37°
∠CDE = 37°
5x-y=1/4 write in slope-intercept form
The slope intercept form of the given equation is,
y = 5x - 1/4
Given an equation of a line as,
5x - y = 1/4
We have to write the equation of the line in slope intercept form.
Equation of the line in slope intercept form is,
y = mx + c
Here m is the slope and c is the y intercept.
Rearranging the given equation,
5x = y + 1/4
5x - 1/4 = y
or,
y = 5x - 1/4
Hence the slope intercept form is y = 5x - 1/4.
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3. A domestic cat can run at a rate of 29.82 miles per hour. How far (miles) can she go in 1.5 hours?
Answer:
44.73 Miles
Step-by-step explanation:
We know the cat tuns 29.82 miles per hour
But, they ask us how much can she run in 1.5 hours.
So, we need to just multiply.
29.82 × 1.5 = 44.73
Hope this Helps!:)
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
Identify the unit rate in each graph. Then, order the graphs by unit rate, from least to greatest.
The required rates are: Unit rate of graph K = 3, Unit rate of graph P = 0.5, and Unit rate of graph F = 1. The order from lower to greater is Graph P, graph F, graph K
How did we determine their unit rates?Step 1: As we know that Unit Rate
Step 2: Notice that the in graph K line passes through the point (1,3)
Step 3: (1,3)
It means the value of function is 3 when x= 1
Step 4: So the unit rate of graph K is, 3/1
Step 5: Simplify the expression.
3/1 = 3
Step 6: Similarly we can see that the graph P have the point (2, 1)
Step 7: So the unit rate of graph P will be 1/2
Step 8: Simplify the expression.
1/2 = 0.5
Step 9: The graph F have point (1, 1) so it have unit rate of 1/1
Step 10: Simplify the expression.
1/1 = 1
Step 11: So we have unit rate of graph K = 3, F= 1 and graph P = 0.5
Step 12: Putting them in least to greater order as,
0.5, 1, 3
It follows that;
graph P, graph F, graph K
Therefore, the required answer is,
Unit rate of graph K = 3
Unit rate of graph P = 0.5
Unit rate of graph F = 1
And the order from lower to greater is, Graph P, graph F, graph K
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A: What is the perimeter of HOUSE?
perimeter of HOUSE =
(round to the nearest hundredth - two decimal places)
B: What is the length of OH?
(round to the nearest thousandth - three decimal places)
C: What is the midpoint of OU?
D: Which is longer, OH or EH?
E: What is the perimeter of the triangle HOU?
perimeter of triangle HOU
(round to the nearest hundredth - two decimal points)
First calculate distances or lengths(Refer to attachment)
A:-
\(\\ \sf\longmapsto Perimeter=Sum\:of\:sides\)
\(\\ \sf\longmapsto 5.3+9+11+9+9.7\)
\(\\ \sf\longmapsto 15+29\)
\(\\ \sf\longmapsto 44\)
B:-
Refer to the attchment
C:-
\(\\ \sf\longmapsto \left(\dfrac{1+4}{2},\dfrac{1+6}{2}\right)\)
\(\\ \sf\longmapsto \left(\dfrac{5}{2},\dfrac{7}{2}\right)\)
D:-
EH>OH
E:-
\(\\ \sf\longmapsto Perimeter\)
\(\\ \sf\longmapsto 9.7+5.3+9\)
\(\\ \sf\longmapsto 24\)
Answer:
The coordinates of the HOUSE:
H(-7, 1), O(1, 6), U(4, 1), S(4, -8), E(-7, -8)Part ATo find the perimeter first find the length of each side:
OH = \(\sqrt{(1 +7)^2+(6-1)^2} = \sqrt{64+25} =\sqrt{89}\) ≈ 9.43 unitsOU = \(\sqrt{(4-1)^2+(1-6)^2} = \sqrt{9+25} = \sqrt{34}\) ≈ 5.83 unitsUS = 1 - (-8) = 9 unitsSE = 4 - (-7) = 11 unitsEH = 1 - (-8) = 9 unitsThe perimeter is:
P = 9.43 + 5.83 + 9 + 11 + 9 = 44.26 unitsPart BOH = 9.43 units (see part A)Part CUse midpoint formula:
x = (4 + 1)/2 = 2.5y = (1 + 6)/2 = 3.5The point is (2.5, 3.5)
Part DOH = 9.43 units > EH = 9 units (see part A)Part E P(ΔHOU) = OH + OU + HU (or SE) = 9.43 + 5.83 + 11 = 26.26 unitsplease help solve x and z find the number for x and find what degrees is z
Answer:
x = 19
z = 102°
Step-by-step explanation:
✔️5x - 17 = 78 (vertical angles area congruent)
5x - 17 + 17 = 78 + 17
5x = 95
5x/5 = 95/5
x = 19
✔️78 + z = 180° (angles on a straight line).
78 + z - 78 = 180 - 78
z = 102°