Answer:
x = 3
Step-by-step explanation:
x + 9x + 5 = 35
=> x + 9x = 35 - 5
=> x + 9x = 30
=> 10x = 30
=> x = 30/10
=> x = 3
Answer:
x = 3
Step-by-step explanation:
Combine like terms. Like terms have same variable with same exponent.
Here x and 9x are like terms
x + 9x + 5 = 35
10x + 5 = 35
Subtract 5 from both sides
10x + 5 - 5 = 35 - 5
10x = 30
Divide both sides by 10
10x/10 = 30/10
x = 3
A chocolate factory uses 16 of a bag of cocoa butter in each packet of chocolate. The factory used 13 of a bag of cocoa butter today. How many packets of chocolates did the factory make?
Answer:
13/16 of a packetStep-by-step explanation:
Solve using ratios:
1 packet ⇒ 16 bagsx packets ⇒ 13 bagsFind x:
x*16 = 1*13x = 13/16Which statement is an example of the symmetric property of congruence
9514 1404 393
Answer:
B.
Step-by-step explanation:
The symmetric properties of equality and congruence let you swap sides of the equality/congruence symbol without changing the truth of the statement:
A ≅ B ⇔ B ≅ A
Please help me ASAP!!!
Answer:
[tex]108 in^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
To find the square, length*width. Both the length and width are 6, so the area of the square is 36 in.
The triangles all have a base of 6 and a height of 6. So, 36 divided by 2 or multiplied by [tex]\frac{1}{2}[/tex]
You would get 18 in.
There are 4 triangles, so multiply 18 by 4. 72 in.
Add up 36 and 72.
The answer is 108.
[tex]===========================================[/tex]
[tex]108 in^{2}[/tex]
1. What measure of variability is the simplest?
A. Mean Deviation
B. Range
C. Standard Deviation
D. Variance
Answer:
range
Step-by-step explanation:
Irene made a mistake when she solved this inequality:
Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x < -1
Between which two consecutive steps did Irene make a mistake?
Answer:
she messed up on step two because she has to subtract 10 from both sides
Step-by-step explanation:
step 1: -6(x+3)+10<-2
step2:-6(x+3)+10-10<-2-10
step3: -6(x+3)<-12
step4: (-6)(x+3)(-1)≥(-12)(-1)
step5:6(x+3)>12
step6:divide both sides by 6
step7:simplify and subtract 3 from both sides and then simplify again
If f(x) = k where k is a constant, and the
points (6, 1) and (8, 1) lie on the graph of y
= f(x), what is the value of f(0)?
Answer:
f(0) = 1Step-by-step explanation:
Since f(x) = k, is constant the value of k is same for any x.
From the given points we see:
f(6) = 1 and f(8) = 1It means k = 1 and the function is:
y = f(x) = 1The value of f(0) = 1
4. Andrés desea embaldosar el piso de su casa que tiene 375 cm de ancho y 435 cm de largo. Calcula la longitud del lado que tendrían las baldosas. ¿Cuántas baldosas colocaría en total?
Answer:
Sabemos que el piso es un rectángulo de 435 cm de largo y 375 cm de ancho.
Recordar que para un rectángulo de largo L, y ancho W, el área es:
A = L*W
Entonces el área del piso, será:
A = 435cm*375cm = 163,125 cm^2
Primero, sabemos que se utilizaran baldosas (las cuales son cuadradas) y queremos saber la longitud de lado que tendrían las baldosas.
No tenemos ningún criterio para encontrar este lado, solo que (si queremos usar un número entero de baldosas) el largo L del lado de la baldosa deberá ser un divisor de tanto el ancho como el largo del suelo.
Dicho de otra forma
el largo, 435cm, tiene que ser múltiplo de L
el ancho, 375cm, tiene que ser múltiplo de L.
Por ejemplo, ambos números son múltiplos de 5, entonces podríamos tomar L = 5cm
En este caso, el área de cada baldosa es:
a = L^2 = 5cm*5cm = 25cm^2
Y el número total de baldosas que necesitaría usar esta dado por el cociente entre el área del suelo y el area de cada baldosa.
N = ( 163,125 cm^2)/(25cm^2) = 6,525 baldosas.
También sabemos que ambos números (435cm y 375cm) son múltiplos de 15cm
Entonces las baldosas podrían tener 15cm de lado.
En este caso, el área de cada baldosa es:
A = (15cm)^2 = 225cm
En este caso el número total de baldosas necesarias será:
N = ( 163,125 cm^2)/(225cm^2) = 725 baldosas.
Please help I suck at dividing Fractions (Will give brainliest)
Answer:
The final result is 7/10
the "divisions" (divisor) is 1/10
thus the answer is 7/10 ÷ 1/10
the actual operation ....
"to divide fractions we INVERT and Multiply"
7/10 * 10/1 = 70/10 = 7
there are 7 arrows going to the right
Step-by-step explanation:
alguien que me ayude porfavor !!!!!
Can someone help me with this math homework please!
Answer:
The first answer
Step-by-step explanation:
Domain refers to the set of x values and range refers to the set of y values. Since x goes from 0 to 3, and does not exclude any values within those numbers, the first answer applies to that set.
Answer:
option 1
that is
{t| 0 <= t <= 3}
Step-by-step explanation:
as the graph plots height ove time
time will be the domain, taken on the x axis, with values ranging from 0 to 3.
so the domain is
{t| 0 <= t <= 3}
if C{1,2} and D={4,5,6}, find C×D by tabulation method. i need for exam
Answer:
Step-by-step explanation:
C * D = {(x,y): x is an element of C and y is an element of D.}
C * D = { (1,4), (1,5), (1,6), (2,4), (2,5), (2,6) }
The price of a pair of trainers was £85 The price was reduced to £47 Work out the percentage change in price.
Answer:
The trainers are 44.71% off the original price i think.
Step-by-step explanation:
What fraction of 300 gallons is 117 L? Give your answer in simplest form. 1 gallon = 4.5 L.
Answer:
Use proportions to find the gallon equivalent of 117 L:
[tex]\frac{1gal}{4.5L} =\frac{Xgal}{117L}[/tex]
Cross-multiply & solve:
[tex]4.5x=117\\x=26[/tex]
So 117 L = 26 gallons
Out of 300 gallons, it's
[tex]\frac{26}{300} =\frac{2(13)}{2(150)} =\frac{13}{150}[/tex]
I hope this is how you're suppose to solve it..
Given f(x) = 19x + 12 , find f(3)
F(3)= ?
Answer:
69
Step-by-step explanation:
to find f(3), we'll have to substitute x with 3
therefore,
f(3) = 19 × 3 + 12
= 57 + 12
= 69
Answer:
f ( 3 ) = 69
Step-by-step explanation:
Given :-
f ( x ) = 19x + 12.
To find :- f ( 3 ) = ?
Solution :-
f ( x ) = 19x + 12.
Substitute as the 3 as x
f ( 3 ) = 19 ( 3 ) + 12
Multiply ; 19 × 3
f ( 3 ) = 57 + 12
Add 57 and 12
f ( 3 ) = 69
David is paid a salary of $1850 per month. He is also paid time and a half for work in excess of 40 hours a week. He worked 62 hours last week. What is his gross pay?
Answer:
$1,471.5625
Step-by-step explanation:
Monthly salary = $1850
Weekly salary = $1850/4 weeks
= $462.5
Hourly rate = $462.5/40 hours
= $11.5625
Overwork time = 62 hours - 40 hours
= 22 hours
Time and a half = 1.5 times the normal salary
Overwork time payment per hour = 1.5 × $11.5625
= $17.34375
Overwork time payment for 22 hours = 22 × $17.34375
= $381.5625
Last week salary = weekly salary + overtime payment
= $462.5 + $381.5625
= $84.0625
Gross salary for the month = 3 weeks regular salary + last week salary
= (3 × $462.5) + $84.0625
= $1387.5 + $84.0625
= $1,471.5625
En las olimpiadas de Matemática. Roció represen a su colegio. La prueba consistía en 60 problemas. Cada respuesta correcta valía 4 puntos y por cada respuesta incorrecta había un punto en contra. Luego del examen. Roció obtuvo un puntaje de 155. Ella respondió todas las preguntas y desea saber cuantas fueron correctas y cuantas incorrectas
Answer:
Rocío respondió 43 preguntas correctas y 17 incorrectas.
Step-by-step explanation:
Dado que en las olimpiadas de Matemática, Rocío representó a su colegio, y la prueba consistía en 60 problemas, de los cuales cada respuesta correcta valía 4 puntos y por cada respuesta incorrecta había un punto en contra, y luego del examen, Rocío obtuvo un puntaje de 155, y ella respondió todas las preguntas y desea saber cuantas fueron correctas y cuantas incorrectas, para determinar dicha duda se debe realizar el siguiente calculo:
60 x 4 = 240
40 x 4 - 20 = 140
45 x 4 - 15 = 165
42 x 4 - 18 = 150
43 x 4 - 17 = 155
Por lo tanto, Rocío respondió 43 preguntas correctas y 17 incorrectas.
An angle measures 16.4° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
Let one angle = A
Let the other angle = B
A + B = 180
A = B - 16.4 Substitute for A in the top equation
B - 16.4 + B = 180 Combine the left
2B - 16.4 = 180 Add 16.4 to both sides
2B = 180 + 16.4
2B = 196.4 Divide by 2
B = 196.4/2
B = 98.2
A = B - 16.4
A = 98.2 - 16.4
A = 81.8
In an extensive study involving thousands of British children, Arden and Plomin (2006) found significantly higher variance in the intelligence scores for males than for females. Following are hypothetical data, similar to the results obtained in the study. Note that the scores are not regular IQ scores but have been standardized so that the entire sample has a mean of M 5 10 and a standard deviation of s 5 2. a. Calculate the mean and the standard deviation for the sample of n 5 8 females and for the sample of n 5 8 males. b. Based on the means and the standard deviations, describe the differences in intelligence scores for males and females.
Answer:
mean value of female = 10.000
standard deviation of female = 1.604
mean value of male = 10.000
standard deviation of male = 2.449
Step-by-step explanation:
Given:
n=8 females
n=8 males
The objective is to find the mean and deviation and also based on the mean and the standard deviation have to describe the differences in intelligence scores for males and females
Solution:
The mean and the standard deviation are found by using MINITAB
The MINITAB procedure is explained as follows,
Step 1
choosing start > Basic statistics > Display Descriptive Statistics
Step 2
In variables supposed to enter the columns Female and Male
Step 3
Here choosing option statistics and select Mean and standard deviation
Step 4
Finally clicking OK
MINITAB output is as follows,
variable Mean standard deviation
Female 10.000 1.604
Male 10.000 2.449
b)
From the MINITAB output the mean are same for females and males.
Here the standard deviation of females is less than the standard deviation of males. That is the male scores are more variable when compared to female scores.
A cylindrical container closed of both end has a radius of 7cm and height of 6cm A.)find the total surface area of the container B.) find the volume of the container
Answer:
Step-by-step explanation:
Surface:
surface area = 2 ends + side
The ends are both a circle and they are identical.
area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
then [tex]\pi[/tex][tex]7^{2}[/tex] = 153.93804 [tex]cm^{2}[/tex]
since there are two ends multiply the above by 2
2*153.93804 =307.87608 [tex]cm^{2}[/tex]
the side is the length * height
length = perimeter of the circle , the perimeter of a circle is also the circumference. circ = 2[tex]\pi[/tex]r
circ = 2*[tex]\pi[/tex]*7 = 53.407075
surface area of the side = 6* 53.407075=320.44245
add the two surfaces areas together :)
total surface area = 320.44245 + 307.87608 = 628.3185307 [tex]cm^{2}[/tex]
Volume:
volume is the area of the end times the height
volume = circle area * height
volume = 153.93804 * 6
volume = 923.62824 [tex]cm^{3}[/tex]
What is the value of cose in the diagram below?
Answer:
[tex]cos \theta = 0.6[/tex]
Step-by-step explanation:
Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8
[tex]cos \theta = \frac{adjacent}{hypotenuse} , \ where \ adjacent = 0.6 ,\ hypotenuse \ = r= 1[/tex]
[tex]cos \theta = \frac{0.6}{1}\\\\cos \theta = 0.6\\\\\theta = cos^{-1} \ 0.6\\\\\theta = 53.13^\circ[/tex]
The value of cos θ is,
⇒ cos θ = 0.6
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8
Hence, We can formulate;
⇒ cos θ = 0.6 / 1
⇒ θ = cos ⁻¹ 0.6
⇒ θ = 53.13°
Thus, The value of cos θ is,
⇒ cos θ = 0.6
Learn more about the circle visit:
https://brainly.com/question/24810873
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What are the center and radius of the circle defined by the equation (x -2)squared + (y + 3) squared equals 16
Answer:
Center (h, k) = 2 and -3
Radius = 4
Step-by-step explanation:
Given the mathematical expression;
(x - 2)² + (y + 3)² = 16 ......equation 1.
The general equation for a circle is given by the formula;
x² + y² + 2hx + 2ky + c = 0 ......equation 2.
Where the center is C(-h, -k)
Similarly, the standard form of the equation of a circle is;
(x - h)² + (y - k)² = r² ......equation 3.
Where;
h and k represents the coordinates of the centre.r represents the radius of the circle.Comparing equation 1 and equation 3, we have;
The center of the circle, C(h, k) are 2 and -3
Radius = √16 = 4
Marcella incarica Dora di aiutarla a suddividere 35 perle tra le sue tre figlie. Alla figlia maggiore vuole regalare la metà, alla mediana la terza parte e alla minore la nona parte. Inoltre Marcella vuole dare una perla a Dora come ricompensa. Quante perle riceverà ciascuna figlia?
Answer:
La hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.
Step-by-step explanation:
Dado que Marcella le pide a Dora que la ayude a dividir 35 perlas entre sus tres hijas, y quiere darle la mitad a la hija mayor, la tercera parte a la del medio y la novena a la menor y, además, Marcella quiere darle una perla a Dora como recompensa, para determinar cuántas perlas recibirá cada hija se debe realizar el siguiente cálculo:
35 / 2 = Mayor = 17.5 perlas
35 / 3 = Medio = 11.66 perlas
35 / 9 = Menor = 3.88 perlas
Así, la hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.
helppppppppppppppppppppp plzzzzz
Answer:
B. 16/3
Step-by-step explanation:
f(2) = 1/3 · 4²
f(2) = 1/3 · 16
f(2) = 16/3
Given the diagram below, solve for x. Enter only a number rounded to the nearest tenth
Answer:
x = 60 cm
Step-by-step explanation:
using Pythagoras theorem which states that:-
Hypotenuse (h)² = perpendicular (p)² + base (b)²
h = 100 cmb = 80 cmp = x100² = 80² + x²
100² - 80² = x²
10000 - 6400 = x²
3600 = x²
x = 60 cm
Which overlapping triangles are congruent by ASA?
B.
3
Select one:
O a.
AABE , ADEA
O b. AADC AEDA
O c.
AABE & ACDA
O d.
AADC AEBC
ya
Answer:
D. ADC EBC
Step-by-step explanation:
cb & cd have that little line showing they're the same
Someone please help me with this math problem?
9514 1404 393
Answer:
distributive propertycombine like termssubtraction (or addition) property of equalityaddition property of equalitydivision property of equalityStep-by-step explanation:
1. The parentheses are gone and the factor outside parentheses has multiplied each term inside parentheses. The distributive property says you can do that.
__
2. 12+2 has been replaced by 14, and 2-20 has been replaced by -18. This is the result when you combine like terms.
__
3. 3x has disappeared from the left side, and the x-term on the right has been reduced by 3x from 5x to 2x. This is the result of subtracting 3x from both sides of the equation. The subtraction property of equality says you can do that. (Note that subtracting 3x is the same as adding -3x.)
__
4. -18 has disappeared from the right side, and the constant on the left has been increased by 18 from 14 to 32. This is the result of adding 18 to both sides of the equation. The addition property of equality says you can do that.
__
5. Both sides of the equation are 1/2 of what they previously were. This is the result of dividing both sides of the equation by 2. The division property of equality says you can do that (provided the divisor is not zero.)
What is a counterexample to this claim?
All quadrilaterals are parallelograms.
OA a rectangle
OB.
a rhombus
ОС. .
a square
OD.
a trapezoid
Answer:
The answer is D.
Step-by-step explanation:
(14) (55, 42, 32, 48, 55, x), mean = 49
Answer:
78
Step-by-step explanation:
Add all the numbers given =256 then take the mean and multiply it with 7 =334 then take 334_256=78 and done
somone needs to have a guide ready for homework.
Answer:
wait what???
Step-by-step explanation: Is that even a question?
Help plz need it bad
Option B
Yes, because every value of x corresponds to exactly one y-value .
