Answer:
The answer is 10cm
Step-by-step explanation:
the ratio RQ:PQ=1:2
let the ratios be multiplied by x
1x:2x
but 2x=20
then x=10.
so the length is 10cm
Please answer as soon as you can.
Answer:
x > -4
Step-by-step explanation:
Please heart!
find the minimum cost of a rectangular box of volume 170 cm3 whose top and bottom cost 8 cents per cm2 and whose sides cost 9 cents per cm2.
Therefore the minimum cost of a rectangular box of volume is x = 4.641588834 cents.
What is the volume of cuboid?A cuboid is a six-faced solid known as a hexahedron in geometry. Four-sided quadrilaterals make up its faces. A cuboid is a hexahedron, a solid with six faces, and the word "cuboid" means "like a cube" in the sense that a cuboid can become a cube by changing the length of its edges or the angle between its faces and edges. Four-sided quadrilaterals make up its faces. A cuboid can be made to look more like a cube by varying the lengths of its edges or the angles between its faces and edges. A cuboid's volume is equal to the sum of its length, breadth, and height. The opposite faces of a cuboid on a rectangular cuboid are equal, and all the angles are at right angles.
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I need this solved with work shown.
Base = 17 inches
Height = 12 inches
In the given figure, the shaded region is a triangle,
So, Area of a Triangle = 1/2 x base x Height
⇒ Area of a Triangle = 1/2 x 17 x 12
⇒ Area of a Triangle = 17 x 6
⇒ Area of a Triangle = 102 square inches.
What is a Triangle?Having three straight sides and three angles, a triangle is a flat figure.In Euclidean space, the total of a triangle's internal angles is always 180 degrees. The parallel postulate of Euclid is comparable to this fact. By using the measurements of the first two angles, it is possible to calculate the size of the third angle in any triangle. An angle that is a linear pair (and thus supplementary) to an interior angle is the outside angle of a triangle. The exterior angle theorem states that the measures of two inner angles that are not contiguous to each other add up to the measure of an exterior angle of a triangle. Any triangle's three outside angles, one for each vertex, add up to a total of 360 degrees.To learn more about Triangles, refer to:
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graph the line through (1,0) with m=0
The equation of the line passing through the point (1,0) with slope 0 is
y = 0
The line passing through the point (1,0)
The slope of the given line is m = 0
So, let us write the equation of the line using slope-point form
y = mx + b
where m is the slope
(x,y) is the point passing by the line
b is the intercept
So , now let us substitute the known values in the above equation
0 = 0(1) + b
b = 0
Therefore , the intercept of the given line is b = 0.
Thus , the equation of the line can be written as
y = mx + b
where m = 0 and b = 0
y = 0x + 0
y = 0
Therefore , the equation of the given is y = 0 which is a origin
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8-If-5(2x - 5) = 6x + 3, what is the value
of x?
Answer:
x=7
Step-by-step explanation:
5(2x-5) = 10x-25
1) add 25 to both sides
10x+25=10x 6x+3+25=6x+28
10x=6x+28
2) subtract 6x from both sides
10x-6x=4x 6x+28-6x=28
4x=28
3) divide by 4 from both sides
4x/4=x 28/4=7
x=7
Hope this helps, have a great day!!
The value of y in the expression -5(2x - 5) = 6x + 3 is 22/16
According to the given question
We have an equation in one variable
⇒ -5(2x - 5) = 6x + 3
For finding the value of x solve the above equation by adding and subtracting the like terms.
So, -5(2x - 5) = 6x + 3
⇒ -5 x 2x + 5 x 5 = 6x + 3
⇒ -10x + 25 = 6x + 3
⇒ 25 - 3 = 6x + 10x
⇒ 22 = 16x
⇒ x = 22/16
Hence, the value of y in the expression -5(2x - 5) = 6x + 3 is 22/16
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I have multiple questions!!
1) 3+x= -1/3
2) x+5 =-4/7
3) x/4 = -8
4) -4x =-5/6
THANKSS!!
Answer:
1: x = − 10/3
2: x = − 39/7
3: x = −32
4: x = 5/24
Write each fraction in its
simplest form.
24/32
18/4
Answer:
Change Mixed fraction to improper fraction 2/9
Answer:
3/4
1 1/2
Step-by-step explanation:
24/32 are factors of 8. If you decided both by 8 it would be 3/4.
18/4 18 is a factor of 4. divide 18 by 4 and you get 6/4. Simplify that to a mixed fraction and you get 1 1/2.
Factorise x^2 + 5x + 6
For the given equation, the values of x are -3 and -2.
What does a math factorization mean?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.
N = Xa Yb Zc is how the general factorization formula is written. The exponential powers of the factors of a factorized number are shown here by the letters a, b, and c.
Given,
x^2 + 5x + 6
⇒ x^2 + 3x + 2x + 6
⇒ x (x + 3) + 2 (x + 3)
⇒ (x + 3) (x + 2)
⇒ x = -3, x = -2
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The relative growth rate r of a function f measures the change in the function compared to its value at a particular point. It is computed as r(t)=
f′(t)
f(t). A logistic growth model for a certain population with a base population of 6 individuals, carrying capacity of 15 individuals, and a base growth rate of 0.025 is shown below. Complete parts (a) through (c).
P(t)=
90
6+9e−0.025t
Question content area bottom
Part 1
a. Is the relative growth in 1999 (t=0) for the logistic model of the above population equal to r(0)=
P′(0)
P(0)=0.013 (rounding to three decimal places)? This would mean that the population was growing at 1.3% per year.
Yes
Yes
No
No
Your answer is correct.
Part 2
b. Compute the relative growth rate of the population in 2005 and 2020. What appears to be happening to the relative growth rates as time increases?
r(6)=enter your response here
r(21)=enter your response here
(Round to four decimal places as needed.)
Answer: 2
Step-by-step explanation: If you add the chetes value of 6 x6 x88 v6
What is the equivalent exponential expression for the radical expression below? 5 A. 52 B. 5 C. 51/2 D. 2.5
Answer:B) 5
Step-by-step explanation:
Find the area and perimeter of each polygon. Show your work
Given
To find: The area and the perimeter of the given polygon.
Explanation:
It is given that,
The perimeter of the polygon (rectangle) is,
[tex]\begin{gathered} P=2(l+b) \\ =2(14+5) \\ =2\times19 \\ =38mm \end{gathered}[/tex]The area of the polygon is,
[tex]\begin{gathered} A=l\times b \\ =14\times5 \\ =70mm^2 \end{gathered}[/tex]Hence, the area of the polygon is 70mm² and the perimeter of the polygon is 38mm.
Sarah earns $48 a week babysitting.
She saves all of her earnings for 6 weeks. Estimate to
determine about how much money Sarah saves.
Solve this problem using any strategy you choose.
Answer:
Sarah saves $288.
Step-by-step explanation:
$48 per week.
For 6 weeks you would do:
48 × 6 = 288.
So Sarah saves $288 over 6 weeks.
Please mark Brainliest
Answer: $288
Step-by-step explanation:
It says she earns $48 per week, and she does it for 6 weeks.
So this is just 48*6
Another way is 48/1=x/6 Where you just cross multiply
So x=48*6=288
Kim needs 10 cups of apple juice for a recipe. How many quarts does she need? 2 cups (c) =1 pint (pt) 2 pt =1 quart (qt) 4 qt =1 gallon (gal)
Answer: 2 quarts 1 pint
Step-by-step explanation: Kim needs 10 cups of apple juice 2 cups are 1 pint so that makes it already 5 pints so now we need to turn the 5 pints into quarts so 2 quarts is what we have but we have some left over we have 1 pint left so we have 2 quarts and 1 pint, we could always convert the pint into a fraction depends on how or what way your teacher wants it wrote
Label the four quadrants on this graph
Answer:
Top Left - 2
Top Right - 1
Bottom Left - 3
Botton Right - 4
Step-by-step explanation:
which rule yields the dilation of the figure cdef centred at the origin
The rule that yields the dilation of the figure CDEF centered at the origin is- (x, y) ⇒ (4x, 4y)
Here, we are given 2 quadrilaterals CDEF and C'D'E'F' as shown in the figure below.
We can see that the vertices of CDEF are-
C(-2, -1), D(-2, 0), E(2, 2), and F(2, 1)
Similarly, the vertices of C'D'E'F' are-
C'(-8, -4), D'(-8, 0), E'(8, 8), and F'(8, 4)
Now, let us compare the coordinates of the two quadrilaterals.
C'(-8,-4) and C(-2,-1)
here, we can observe that -8/-2 = -4/-1 = 4
Similarly, for E'(8,8) and E(2,2)-
8/2 = 8/2 = 4
Thus, we observe that the coordinates of C' are obtained by multiplying each coordinate of C by 4 and such is the case for all of the coordinates.
Therefore, the rule that yields the dilation of the figure CDEF centered at the origin is- (x, y) ⇒ (4x, 4y)
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Your question was incomplete. Check for the full content below-
Which rule yields the dilation of the figure CDEF centered at the origin?
A) (x, y) → (4x, 4y)
B) (x, y) → (0.25x, 0.25y)
C) (x, y) → (x + 4, y + 4)
D) (x, y) → (x + 0.25, y + 0.25)
Which equation shows that the sum of x and 2 is twice as much as 6?
A. x=2×2×6
B. x+2 × 2=6x
C. 2(x+2)=62
D. x+2=2 × 6x
whoever gets it right will get brainliest
The equation for the given statement is (x + 2) = 2 × 6.
We have to find the equation of the given statement:
As the sum of x and 2 is equal to twice as much as 6.
So from the above, we have an equation
(x + 2 ) = 2 × 6
After removing the bracket part on the left side and multiplying at the right side we have:
x + 2 = 12
Now we have the value of x.
x = 10
Therefore the equation is (x + 2) = 2× 6.
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This is urgent I’ll brainlist u !!!!
Answer:
Q9:D
Q10:B
Step-by-step explanation:
Q9:for two graphs to be perpendicular, the product of their gradients has to be -1
multiplying the gradients of the equation in the question and the equation in option "D", we get -1 hence D is correct
EASY + URGENT !! WILL REWARD WITH THANKS + BRAINLIEST
(a) The area of triangle F is 4 times the area of triangle G.
(b) The area of triangle B is 1/4 times the area of triangle G.
(c) The area of triangle F is 16 times the area of triangle B.
(d) The area of triangle H is 1/9 times the area of triangle F.
(e) The area of triangle H is 4/9 times the area of triangle G.
(f) The area of triangle B is 9/16 times the area of triangle H.
(a) Triangle G and Triangle F
Consider triangle F,
The height of the triangle is 8.
The base of the triangle is 6.
The hypotenuse of the triangle is 10.
Area of ΔF = ( 1/2 ) × b × h = ( 1/2 ) × 6 × 8 = 24 square units.
Consider triangle G,
The height of the triangle is 4.
The base of the triangle is 3.
The hypotenuse of the triangle is 5.
Area of ΔG = ( 1/2 ) × b × h = ( 1/2 ) × 3 × 4 = 6 square units.
Therefore,
Area of ΔF = 4 × Area of ΔG
(b) Triangle G and Triangle B
Consider triangle G,
The area of the triangle is:
Area of ΔG = ( 1/2 ) × b × h = ( 1/2 ) × 3 × 4 = 6 square units.
Consider triangle B,
The height of the triangle is 2.
The base of the triangle is 3/2.
The hypotenuse of the triangle is 5/2.
Area of ΔB = ( 1/2 ) × b × h = ( 1/2 ) × 3/2 × 2 = 3/2 square units.
Now, 4 × 3/2 = 6
Therefore,
Area of ΔG = 4 × Area of ΔB
Area of ΔB = 1/4 × Area of ΔG
(c) Triangle B and Triangle F
Consider triangle B,
Area of ΔB = ( 1/2 ) × b × h = ( 1/2 ) × 3/2 × 2 = 3/2 square units.
Consider triangle F,
Area of ΔF = ( 1/2 ) × b × h = ( 1/2 ) × 6 × 8 = 24 square units.
Now, 16 × 3/2 = 24
Therefore,
Area of ΔF = 16 × Area of ΔB
(d) Triangle F and Triangle H
Consider triangle F,
Area of ΔF = ( 1/2 ) × b × h = ( 1/2 ) × 6 × 8 = 24 square units.
Consider triangle H,
The height of the triangle is 8/3.
The base of the triangle is 2.
The hypotenuse of the triangle is 10/3.
Area of ΔH = ( 1/2 ) × b × h = ( 1/2 ) × 2 × 8/3 = 8/3 square units.
Now, 9 × 8/3 = 24
Therefore,
Area of ΔF = 9 × Area of ΔH
Area of ΔH = 1/9 × Area of ΔF
(e) Triangle G and Triangle H
Consider triangle G,
Area of ΔG = ( 1/2 ) × b × h = ( 1/2 ) × 3 × 4 = 6 square units
Consider triangle H,
Area of ΔH = ( 1/2 ) × b × h = ( 1/2 ) × 2 × 8/3 = 8/3 square units.
Now,
9/4 × 8/3 = 6
Therefore,
Area of ΔG = 9/4 × Area of ΔH
Area of ΔH = 4/9 × Area of ΔG
(f) Triangle H and Triangle B
Consider triangle H,
Area of ΔH = ( 1/2 ) × b × h = ( 1/2 ) × 2 × 8/3 = 8/3 square units
Consider triangle B,
Area of ΔB = ( 1/2 ) × b × h = ( 1/2 ) × 3/2 × 2 = 3/2 square units
Now,
16/9 × 3/2 = 8/3
Therefore,
Area of ΔH = 16/9 × Area of ΔB
Area of ΔB = 9/16 × Area of ΔH
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Fatoumata has a points card for a movie theater. she receives 70 rewards points just for signing up. she earns 12.5 points for each visit to the movie theater. she needs at least 165 points for a free movie ticket. what is the least number of visits she needs to make in order to earn a free movie ticket?
6x + 1 = -6(1-x)
Solve for x
The value of x is 5 / 12.
How to solve for the value of x ?The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.
Thus to solve for x you simply have to keep the like terms one side and the others on the other side .
The given equation is : 6x + 1 = -6 ( 1 - x)
6x + 1 = -6x + 6
12x = 5
x = 5 / 12
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It's an rsm problem I really need help
The simplified expression in the question is x^4y^4
Simplification of ExpressionSimplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. The process entails collecting like terms, which implies adding or subtracting terms in an expression.
In the given expression, x^2y * (-xy) * (-xy^2)
Let's solve this algebraic expression and determine the value;
[tex]x^2y*(-xy)*(-xy^2) = [x^2*(-x)*(-x)] * [y * y * y^2] = x^4y^4[/tex]
The expression is x^4y^4
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A bumble bee flutters its wings 7,800 times in one minute. A hummingbird flutters its wings 80 times in 1 second which animal flutters its wing more times 1 minute explain
Answer:
Step-by-step explanation:
the bumble bee flutters it’s wings 3000 times faster
Knowing that the bumble be can do 7800 in one minute and the humming bird can do 80 in a second 1 minute is 80 seconds so if we do 80 times 60 we get 4800 which is less then the amount of flutters the bumble bee does by 3000 flutters
if 12 people are called for jury duty, what is the probability that all 12 will be available to serve on the jury? (round your answer to three decimal places.)
write the new coordinates after the triangle is rotated 180 degrees counterclockwise about the origin.
For the new coordinates of point A, that is A' = (x', y'), we have:
x' = 2 . cos (180º) = 2 . (-1) = -2
y' = 10 . cos (180º) = -10
The same happens to the other points. So, for B we have :
x' = 3 . (-1) = -3
y' = -4 . (-1) = 4
And for C:
x' = -3 . (-1) = 3
y' = 1 . (-1) = -1
Therefore, the new coordinates will be:
A'(-2, -10)
B'(-3, 4)
C'(3, -1)
The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $63. How much is each allowance?
The difference between your monthly allowance and your friend's monthly allowance. The monthly allowance for you and your friends is $35 and $28.
Given that,
The tape diagram illustrates the difference between your monthly allowance and your friend's monthly allowance. The entire monthly allowance is $63.
We have to find what does each allowance cost.
The 9 parts represent $63 so each part represent
$63/9
7
Then,
The monthly allowance is
$7×5=$35
The monthly allowance for your friends is
$7×4=$28
Therefore, The monthly allowance for you and your friends is $35 and $28.
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Cada año escolar, los estudiantes de 7º grado que estudian Ciencias de la Vida participan en una excursión especial al zoológico de la ciudad. En 2010, la escuela pagó $1260 para que 84 estudiantes ingresaran al zoológico. En 2011, la escuela pagó $1,050 para que 70 estudiantes ingresaran al zoológico. En 2012, la escuela pagó $1,395 para que 93 estudiantes ingresaran al zoológico. ¿El precio que paga la escuela cada año en derechos de ingreso es proporcional al número de estudiantes que ingresan a la escuela? una. ¿Zoo? b. Explica por qué o por qué no. C. Identifique la constante de proporcionalidad y explique lo que significa en el contexto de esta situación. d. ¿Cuánto pagaría la escuela si 120 estudiantes entraran al zoológico? ¿Cuántos estudiantes entrarían al zoológico si la escuela pagara $1,425? mi‘Doy una corona y 5 corazones de branly
a) El coste total es directamente proporcional al número de estudiantes.
b) Existe una relación directa entre el coste total y el número de estudiantes al existir una constante de proporcionalidad.
c) La constante de proporcionalidad tiene un valor de 15 y representa el precio de ingreso de cada estudiante al zoológico.
d) El coste total por 120 estudiantes es $ 1,800. 95 estudiantes cuestan $ 1,425.
Cómo analizar relaciones de proporcionalidad directa entre dos variables
a) Sea y el coste total pagado para una excursión en el zoológico de la ciudad, en pesos, y x el número de estudiantes que visita el zoológico. Existe una relación directa entre las dos variables si la siguiente expresión es satisfecha:
y = k · x
Donde k es la constante de proporcionalidad, en pesos por estudiante.
A continuación, comprobamos si la relación de proporcionalidad directa existe:
Año 2.010
k₁ = 1260 / 84
k₁ = 15
Año 2.011
k₂ = 1050 / 70
k₂ = 15
Año 2.012
k₃ = 1395 / 93
k₃ = 15
Puesto que k₁ = k₂ = k₃, el coste total es directamente proporcional al número de estudiantes.
b) Existe un relación de proporcionalidad directa debido a la existencia una única constante de proporcionalidad.
c) La constante de proporcionalidad es igual a 15 y representa el costo por estudiante.
d) Si sabemos que y = 15 · x y x = 120, entonces el coste total es:
y = 15 · 120
y = 1800
El coste total es de $ 1,800.
Ahora, si sabemos que y = 15 · x, y = 1,425, entonces el número de estudiantes que ingresan es:
1,425 = 15 · x
x = 1,425 / 15
x = 95
95 estudiantes tienen un coste total de $ 1,425.
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A 25,000 swimming pool is being filled.Two hundred and fifty gallons are in it after 30 minutes. How many hours will it take to fill the pool?
Answer:
100????
Step-by-step explanation:
Translate the following statement into a mathematical equation:Five times a number, minus three, is twelve.5(n - 3) = 125n - 3 = 125 - 3n = 125n = 12 - 3
Explanation
Step 1
let n represents the number
so,
Five times a number
[tex]5\cdot n=5n[/tex]hence
Five times a number, minus three
[tex]5n-3[/tex]"is" can written as equal (=),so
Five times a number, minus three, is twelve.
[tex]5n-3=12[/tex]I hope this helps you
Identify ALL solutions to the inequality. There could be more than one selection.
Answer:
Step-by-step explanation:
-3 or 0
Answer:
-3 and 0
Step-by-step explanation:
the inequality states that 11 is greater than x. That means anything less than 11 can be x
-3 is less than 11 so that can be x
0 is less than 11 so that can be it.
11 is 11 and x is not equal to 11, so that’s not the answer
16 is greater than 11 so it can’t be x
The average male burns about 100 calories per mile walked and 140
calories per mile jogged. Using x to represent the miles walked and
to represent the miles jogged, write a linear inequality modeling the
number of miles a man should walk and jog in order to burn at least 500
calories.
The required linear equation is 100x + 140 y = 500.
What is a linear equation?If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.
Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero. This implies that you can come up with a ton of these equations. Solution: It is possible to write 2x + 3y = 4.37 as 2x + 3y - 4.37 = 0.
Let the miles walked be represented by x
and the y would represent miles jogged
Thus the equation would become :
100 x + 140 y = 500
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