You're 42. 42-21=21 and 21x2=42.
The current age of your is 42 years old.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.
In other words, an equation is a set of variables that are constrained through a situation or case.
To form an equation we must know the constraint of that condition,
For example x < 5 is a constraint.
Another example of a constraint is;
7x + 3y = 8 like that
Let say
Your age is = x
21 year ago your age were = x - 21
Now it was half the age x so,
x - 21 = (1/2)x
2x - 42 = x
x = 42
So your current age will be 42 years old.
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Can someone help me with this it's making no sense to me
Answer:
The most reasonable is 2 h
Step-by-step explanation:
If you see the graph is decreasing in hours while is increasing in years. When a person is 45 years the amount of daily physical activity is 3 hours, so a person that is 50 years needs to do less than 3 hours a day and the only option less than 3 hours is 2 hours.
Pls help!!!!!!!!!!!!!!!!
Answer:
23 degrees
Step-by-step explanation:
62+95=157
180-157=23
Answer: The answer is 23 degrees. (Friend me and vote me brainliest)
Step-by-step explanation: A triangle is always equal to 180 degrees. So when they gave you both sides of the triangle, you add them up and subtract your sum from 180.
Circle o has a circumference of 42 pi
What is the length of the radius, r?
a. √21 cm
b. √42 cm
c. 21 cm
d. 42 cm
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The length of the radius, r, is 21 cm. The correct answer is **c. 21 cm**.
Here's why:
- The circumference of a circle is calculated by the formula C = 2πr, where C is the circumference and r is the radius.
- We are given that the circumference of circle O is 42π.
Substituting the given value into the formula:
42π = 2πr
Dividing both sides by 2π:
r = 42π / 2π
Simplifying:
r = 21
Therefore, the length of the radius, r, is 21 cm.
Options a, b, and d are incorrect because they either involve taking the square root of the circumference directly (invalid formula for radius) or miscalculating the result of the division.
Can someone help me with this please?
Answer:
27.6°
Step-by-step explanation:
Drop a Perpendicular from C to AD, call the foot X
CXD is a right angle triangle
CX = 6 cm
XD = 23 - 9 - [sqrt(6.5² - 6²)]
XD = 11.5
Tan(Angle CDA) = CX/XD = 6/11.5
Angle CDA = 27.55281158
NEED HELP ASAP!
Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime?
Segment AC is twice as long as segment A''C''.
Explanation:The relationship between segment AC and segment A''C'' is that segment AC is a dilation of segment A''C'' by a scale factor of 2 from the origin. This means that segment AC is twice as long as segment A''C''.
Which frequency table represents the set of data below related to how each student in a class travels to school in the morning
Answer:
see below (first table shown)
Step-by-step explanation:
All of the frequency tables have the same numbers in the first and last categories, so choosing the correct table can be done by counting instances in any of the middle three categories.
We note there are 5 who biked to school, so the first table is indicated as being correct.
_____
If you complete a frequency table, you find that it matches the first table shown.
Help plz I’m vvvvv confused
Answer: y=4x
Step-by-step explanation: 2 times 4 is 8, 3 times 4 is 12, etc.
Answer:
y= kx
k= y/x = 8/2= 4
Therefore, k= 4
The equation: y=4xHelp ASAP please and explain if you can
Answer:
The first one is a right triangle. The second one is C. (13,9)
Step-by-step explanation:
For each ordered pair, go over first, then up. For the first question, if all points are plotted, it makes a right triangle.
With the second question, the point must be the same distance from Q as P is already. That's 3 lines over and 7 lines up and down. It could stay at (__,9), so 3 spaces over is (13,9).
Veronica surveyed her classmates about which types of pets they own. The graph shows her data.
A circle graph titled Pets. 32 percent is dogs, 26 percent is cats, question mark is fish, 13 percent is lizards, 18 percent is no pet.
Something is missing. Veronica found the percentages of her classmates who have dogs, cats, and lizards, but she has not calculated the percentage who have fish.
What percent of her classmates own fish?
Answer:
The answer is 11%
Step-by-step explanation:
Something is missing. Veronica found the percentages of her classmates who have dogs, cats, and lizards, but she has not calculated the percentage who have fish. Veronica surveyed her classmates about which types of pets they own. The graph shows her data. so that make it 11% Make me brain-list Please
Answer:it is 11%
Step-by-step explanation: just t r u s t me
and it makes sense
which transformation represents a reflection over the x-axis
Answer:
its (x,y)(-y,-x)
Step-by-step explanation:
Answer:
(x ,y) ---> (x ,-y)
Step-by-step explanation:
:)
3. The equation x^2 + n = 0 ________
has at least one real number solution when n > 0
a) always
b) sometimes
c) never
in general:
if delta>0 the equation has 2 solutions
if delta=0 the equation has 1 solution
if delta<0 the equation doesn't have real solutions
here :
delta=-4n
if n>0=> delta<0 => c) never
Tony's recipe calls for 5/4 of salt. He wants to use 1/4 that amount. How much salt will he use?
Answer:
See Explanation
Step-by-step explanation:
5/4 = 1.25
1.25 / 4 = 0.3125 (this step separated the whole thing into quarters)
[tex]\frac{0.3125}{10000}=\frac{5}{16}[/tex]
Tony should use 5/16 of the salt.
Help me find the answer
Answer:
y = - [tex]\frac{1}{4}[/tex] x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line
m = [tex]\frac{-4+3}{4-0}[/tex] = - [tex]\frac{1}{4}[/tex]
Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = - [tex]\frac{1}{4}[/tex] x - 3 ← equation of line
240: 180 in simpilest form ;D
If r = 45 cm and q = 53 cm, what is the length of p?
A. 28 cm
B. 26 cm
C. 70 cm
D. 32 cm
The right answer is 28 cm
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The angle theta has its vertex at (0,0), one ray along the positive x-axis and the other ray passing through the point (0,1) what is tan of theta?
a. -1
b. 0
c. 1
d. undefined
Answer:
undefined.
Step-by-step explanation:
so there is a point at the origin, and from there there are two rays coming off it. One goes along the positive x axis, so it goes straight right, then the other goes through point (0,1). That point is right above the origin. So it makes an l shape. what sort of polygon could you fit into the corner of an L? Well, a square or rectangle, and the corners of a square and rectangle are all 90 degrees is theta.
Now it wants tan of 90 degrees. tangent is sine divided by cosine, so let's find those.
sine of 90 is the y value on the unit circle at 90 degrees. Since the unit circle has a radius of 1 then when it points straight up or down the y value is either 1 or -1 respectively. Similarly cosine is 1 when pointing to the right, at 0 degrees or 360 degrees, and -1 at 180 degrees. For sine straight up is of course 90 degrees and down is 270 degrees.
Now, sine of 90 is 1 and cosine of 90 is therefore 0. so now we want sine divided by cosine. this is 1/0. Well you can't divide by 0, so it is undefined.
Answer:
the answer is D undefined
Step-by-step explanation:
took the test on edg.
salma and ahlam are making cat toys from yarn. salma need 1/2 yard for the toy she is making. ahlam needs 3 times as much yarn as salma. how much yarndose ahlam need
Answer: 1 1/2 yards of yarn
Step-by-step explanation: For this problem, we will simply be multiply 1/2 yard by 3 to get the amount of yard that Ahlam will need.
1/2 x 3/1 = 3/2 or 1 1/2 yards of yarn. Basically you multiply the top of the fractions first (1 x 3) = 3 Then, you multiply the bottom of the fractions second (2 x 1) = 2 (3/2 or 1 1/2)
Answer:
1.5 yards
Step-by-step explanation:
Salma: ½ yard
Ahlam: 3 × ½ = 1.5
f(x)=x^2+2 find f(4x)
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Which statement is an important part of the proof of the converse of the Pythagorean
theorem?
A. It must be assumed that the Pythagorean theorem is true.
B. It must be assumed that the sum of the lengths of any two sides of a triangle are less than the length of the third one.
C. It must be assumed that the Pythagorean theorem is false.
D. It must be assumed that the sum of the lengths of any two sides of a triangle are greater than the eleventh of the third side.
To prove the converse of the Pythagorean theorem, it must be assumed that the Pythagorean theorem is true. This assumption is fundamental to the proof. Option A is correct answer.
The proof of the converse of the Pythagorean theorem.
To prove the converse of the Pythagorean theorem, it is important to start by assuming that the Pythagorean theorem itself holds true.
Therefore, option A is the correct answer: It must be assumed that the Pythagorean theorem is true.
This fundamental assumption is crucial since the converse states that if the sum of the squares of two sides of a triangle is equal to the square of the third side, then the triangle is a right triangle.
This is a direct implication assuming the Pythagorean theorem's validity.
An essential part of a mathematical proof, especially in geometry, involves using established theorems and logical deductions.
It's also worth mentioning Euclid's proposition that states, "Any two sides of a triangle are together greater than the third side." While this proposition is relevant to the properties of triangles, it is not a component of the proof for the converse of the Pythagorean theorem.
TRUE OR FALSE and explain. Suppose that you graph a system of equations and the graphs' intersection is somewhere in between the x values of 3 and 4 and in between the y values of 9 and 10. The system has to solution because you can't find the exact value of the intersection point.
Answer:
False
Step-by-step explanation:
It still has a solution, just not a solution with whole or exact numbers.
A system of equations would only have no solution if there were no points of intersection at all.
The area of a 60º sector of a circle is 10π m2. Determine the radius of the circle. Write your answer in exact form.
Answer: The radius of the circle is 7.75 m (approximately)
Step-by-step explanation: The area of a sector is determined as follows;
Area of sector = (∅/360) x πr²
The area has been given as 10π, and the angle subtended by the sector has been given as 60. Substituting for known values we now have;
10π = (60/360) x πr²
10π = (1/6) x πr²
By cross multiplication we now have;
(10π/π) x 6 = r²
10 x 6 = r²
60 = r²
Add the square root sign to both sides of the equation
√60 = √r²
7.7459 = r
The radius of the circle is approximately 7.75 meters
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A bicycle tire has a diameter of 26 inches. How far does it travel (to the nearest tenth) in 10 rotations?
Answer:
C = 26π inches
In 10 rotations, the bicycle tire travels 260π inches, or about 816.8 inches.
Derek sent a chain letter to his friends, asking them to forward the letter to more friends. The group of people who receive the email gains 9/10 of its size every week and can be modeled by a function, P, which depends on the amount of time, t (in weeks).
Derek initially sent the chain letter to 40 friends.
Write a function that models the group of people who receive the email t weeks since Derek initially sent the chain letter
Answer:
Step-by-step explanation:
P(t)= 40*1.9^t/3
A function that models the group of people who receive the email t weeks since Derek initially sent the chain letter is p(t) =[tex]40 + 12t[/tex] (in t weeks).
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The number of people who received letters three weeks later:
= [tex]40 + \frac{9}{10} \times40[/tex]
= [tex]76[/tex]
The number of people who received letters one week later:
= [tex]40+(\frac{9}{10} \div3)\times40[/tex]
= [tex]52[/tex]
The number of people who received letters t week later:
= [tex]40+(\frac{9}{10} \div3).t\times40[/tex]
= [tex]40 + 12t[/tex]
So, a function that models the group of people who receive the email t weeks since Derek initially sent the chain letter is p(t) = [tex]40 + 12t[/tex] (in t weeks).
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please help very easy , please
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the line y = - x
a point (x, y ) → (- y, - x ), thus
S(- 2, - 10 ) → (10, 2 )
T(- 2, - 3 ) → T'(3, 2 )
U(3, - 3 ) → U'(3, - 3 )
V(3, - 10 ) → V'(10, - 3 )
Ejemplo de cómo escribir:
1. Nombre de polinomio- grado- coeficiente término lineal- coeficiente término constante
Vale muchos puntos
The first thing is to define each one:
Polynomial: expression made with constants, variables and exponents, which are combined using addition, subtraction and multiplication. Exponents can only be natural numbers and the polynomial cannot have an infinite number of terms.
Example:
This is a: [tex]5x^{3} + 4x^{2} -99x +20[/tex]
Degree: It is the exponent with the highest degree. If a monomial of those that are forming the polynomial has two unknowns, each with its exponent, these add up since we would be doing a multiplication of monomials.
Example: [tex]5x^{3} + 4x^{2} -99x +20[/tex]
The degree of this polynomial is 3 because it is the largest exponent.
Linear term coefficient: is the number that multiplies the variable with the highest exponent
Example: [tex]5x^{3} + 4x^{2} -99x +20[/tex]
In this case it is 5 because [tex]x^{3}[/tex] is the variable with the highest exponent
Constant term coefficient: is one that is found in a polynomial alone, that is, without multiplying the x or another unknown.
Example: [tex]5x^{3} + 4x^{2} -99x +20[/tex]
In this case it is 20 because it is the one found without multiplying any linear term (x)
Attached image with example of this.
When you square six times a number, you get two more than the number.
Answer:the answer is 6
Step-by-step explanation:
evaluate (tan 60)(cos 45)
Answer: the tan. Of 60 is .3200
The cos. Of 45 is .5253
Hope this helps :)
Step-by-step explanation:
Answer:
[tex] \sqrt{ \frac{3}{2} } [/tex]
Step-by-step explanation:
[tex] \tan(60) \cos(45) = \sqrt{3} \times \frac{1}{ \sqrt{2} } [/tex]
[tex] = \sqrt{ \frac{3}{2} } \: [/tex]
The average car manufactured in the United States in 2001 could drive 24.5 mi on 1 gal of gas. How many yards can the car travel on 1 gal of gas.
Answer:
43120 yards
Step-by-step explanation:
You would just need to convert miles to yards, 1 mile = 1760 yards
Just do 24.5 * 1760
Answer:
43,120 yards
Step-by-step explanation:
24.5 x 1760 = 43,120
When converting from miles to yard, take the miles mulitplied by 1,760.
- Hope this helps! Please let me know if you need a further explanation.
16 3/7 −4 3/4
subtract this fraction correctly and i will mark you brainliest
Answer:
327/28 or 11 19/28
Step-by-step explanation:
Get common denominator, convert into improper fraction and subtract.
The solution of expression [tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex] after subtraction would be, [tex]11\dfrac{19}{28}[/tex]
Given that,
The fractions to subtract,
[tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex]
Used the subtraction method to find the subtraction of expression.
Here, The fractions to subtract,
[tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex]
Change the mixed fraction into an improper fraction,
[tex]\dfrac{115}{7} - \dfrac{19}{4}[/tex]
Take LCMof 7 and 4 = 28
Now, make the denominator the same by taking LCM,
[tex]\dfrac{460}{28} - \dfrac{133}{28}[/tex]
[tex]\dfrac{460- 133}{28}[/tex]
[tex]\dfrac{327}{28}[/tex]
So, the solution of fraction after subtraction,
[tex]11\dfrac{19}{28}[/tex]
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Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a radius of 6 feet and a height of 15 feet. Container B has a
radius of 5 feet and a height of 18 feet. Container A is full of water and the water is
pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of the empty space inside
Container A, to the nearest tenth of a cubic foot?
Answer:
1413.7 ft^3
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr^2·h
After emptying part of container A into container B, the empty space in container A will be exactly the volume of container B:
V = π(5 ft)^2·(18 ft) ≈ 1413.7 ft^3