Answer:
1. [tex]x=2[/tex]
2. Simplify by combining like terms
3. [tex]x=1[/tex]
4. [tex]k=0.5[/tex]
5. [tex]y=3[/tex]
Step-by-step explanation:
1. [tex]2.5(6x-4)=10+4(1.5+0.5x)[/tex]
Distribute within the parenthesis
[tex]15x-10=10+6+2x[/tex]
Combine like terms
[tex]15x-10=16+2x[/tex]
Isolate the variable expression by using the addition/subtraction properties of equality
[tex]13x=26[/tex]
Isolate the variable by using the division/multiplication properties of equality
[tex]x=2[/tex]
2. Like terms are always combined as soon as possible but never before the distributive property is applied.
3. You can find the solution by comparing the tables.
4. [tex]6k+10.5=3k+12[/tex]
Apply the addition/subtraction properties of equality
[tex]3k=1.5[/tex]
Apply the division/multiplication properties of inequality
[tex]k=0.5[/tex]
5. [tex]y+3=-y+9[/tex]
Addition/subtraction properties
[tex]2y=6[/tex]
Division/Multiplication properties
[tex]y=3[/tex]
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
Help plz need it bad
Option B
Yes, because every value of x corresponds to exactly one y-value .
helppppppppppppppppppppp plzzzzz
Answer:
B. 16/3
Step-by-step explanation:
f(2) = 1/3 · 4²
f(2) = 1/3 · 16
f(2) = 16/3
Write 8 as the ratio of two integer
Answer:
Step-by-step explanation: 7 1 16 37
8/1 8 divided by 1
16/2 16 divided by 2
24/3 24 divided by 3 I could go on, but won't
Can someone help me with this math homework please!
Answer:
option 2option 1Step-by-step explanation:
value of x must be any real number except 5
that is option 2.
value of y can be any real number
that is option 1.
Based on the property of function that is one input must have exactly one output.
the outputs can repeat themselves throughout the function whereas the input shouldn't repeat themselves.
Answer:
Step-by-step explanation:
Property: Each element in the input set should have one and only element in the output set.
1) Value of x can be any real number except 5
2) Value of y can be any real number except -2
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
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.)
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:
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.
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.
you've run 250 ft of cable that has a loss rate of 3.6 dB per 100 ft. what is your total loss?
Answer:
2.5 dB/100 ft
Explanation:
If 5 dB was lost after 200 ft of cable and 100 ft is half of 200 ft, then the rate of loss should be 2.5 dB per 100 ft.
Step-by-step explanation:
The total loss is 9 dB
Since we have 250 ft of cable that has a loss rate of 3.6 dB per 100 ft, we need to find the total loss of the 250 ft of cable.
To find this total loss, we multiply the loss rate by the total length of cable.
So, the total loss for the 250 ft of cable, L = loss rate × length of cable.
Since loss rate = 3.6 dB per 100 ft and the length of cable = 250 ft, substituting the values of the variables into the equation, we have
L = loss rate × length of cable.
L = 3.6 dB/100 ft × 250 ft.
L = 3.6 dB/10 × 25.
L = 3.6 × 25/10 dB
L = 3.6 × 2.5 dB
L = 9 dB
So, the total loss is 9 dB
Learn more about dB loss here:
https://brainly.com/question/21793414
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) }
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.
Evaluate the function. f(x)=−x^2 Find f(−5)
Answer:
25
Step-by-step explanation:
put -5 from x so (-(-5))²=25
Solution:
For each occurence of x in f(x) substitute 4 and clculate the result
f(x)=-x^2+5 becomes
f(4)=-(4)^2+5
f(4)=-16+5
f(4)=-11
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.
Answer:
Step-by-step explanation:
1). 2x + y = 12 -----(1)
x = 9 - 2y -------(2)
By substituting the value of x from equation (2) to equation (1)
2(9 - 2y) + y = 12
18 - 4y + y = 12
18 - 3y = 12
3y = 18 - 12
y = 2
By substituting the value of x in equation (2)
x = 9 - 2(2)
x = 9 - 4
x = 5
2). x + 2y = 9 ------(1)
2x + 4y = 20
x + 2y = 10 -------(2)
Since, both the equations are the parallel equations,
Therefore, No solutions will be the answer.
3). x + 3y = 16 -------(1)
2x - y = 11 ---------(2)
Multiply equation (2) by 3 the add to equation (1)
6x - 3y + (x + 3y) = 16 + 33
7x = 49
x = 7
From equation (1),
7 + 3y = 16
3y = 9
y = 3
4). y = 11 - 2x -------(1)
4x - 3y = -13 -------(2)
By substituting the value of y from equation (1) to (2),
4x - 3(11 - 2x) = -13
4x - 33 + 6x = -13
10x = 33 - 13
10x = 20
x = 2
From equation (1)
y = 11 - 2(2)
y = 7
5). y = 10 + x -------(1)
-3x + 3y = 30
-x + y = 10
y = 10 + x ------(2)
Equations (1) and (2) are same.
Therefore, Infinite solutions will be the answer.
6). 2x + y = 11 --------(1)
x - 2y = -7 ---------(2)
Multiply equation (1) by 2 then add to equation (2)
4x + 2y + (x - 2y) = 22 - 7
5x = 15
x = 3
From equation (2)
3 - 2y = -7
2y = 3 + 7
y = 5
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:
what is the length of segment DC? no links.
Answer:
33 units
Step-by-step explanation:
AB = BC
2x + 7 = 23
2x = 16
x = 8
DC = DA
DC = 4x + 1
DC = 4(8) + 1
DC = 33
What is the domain of the function shown in the table
HELP
A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked it's taste.
Answer:
yes
Step-by-step explanation:
Here is the complete question :
A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. 40% of the surveyed customers like the taste of the cookie. Is it an example of descriptive statistics?
Descriptive statistics are used to summarise the features or characteristics of a data or sample. It provides information on the features of sample collected.
Types of descriptive statistics
1. Measures of central tendency :
They include mean, median and mode
Mode refers to a value that appears most frequently in a data set.
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
2. Measures of variation : It includes range, standard deviation and variance
3. Measure of position ; percentile and quartiles
4. Measure of frequency : count, percentage
alguien que me ayude porfavor !!!!!
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Which 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
(d) Statement one: Two adult tickets and three children tickets cost $43.00
Statement two: One adult ticket and one ticket for a child cost $18.50
(i) Let x represent the cost of an adult ticket and y the cost of a ticket for a child.
Write TWO equations in x and y to represent the information. (2mks)
(ii) Solve the equation to determine the cost of an adult ticket
Answer:
The cost of an adult ticket is $12.50
Step-by-step explanation:
The given information are;
The cost of two adult tickets and three children tickets = $43.00
The cost of one adult ticket and one child ticket = $18.50
Whereby the cost of an adult ticket is represented by x and the cost of a child's ticket is represented by y, we get the following two simultaneous equations;
2·x + 3·y = 43.00...(1)
x + y = 18.5...(2)
(ii) Multiplying equation (2) by 2 and subtracting the result from equation (1) gives;
2·x + 3·y - 2×(x + y) = 43 - 2×18.5 = 6
2·x - 2·x + 3·y - 2·y = 0 + y = 6
∴ y = 6
The cost of each the children ticket = $6.00
From equation (2), where y = 6, we get;
x + y = 18.5
∴ x + 6 = 18.5
x = 18.5 - 6 = 12.5
The cost of an adult ticket, x = $12.50.
Find the value of n.
PLEASE HELP ASAP!
Answer:
d .9
Step-by-step explanation:
n^2-3 = 2×39 (line joining midpoints is half of third line )
n^2 = 78+3
n^2 =81
n =9
Solve the inequality and express your answer in interval notation
x^2 - 12x + 3 <0
Answer:
x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )
Step-by-step explanation:
I have attached the explanation on the image above, hopefully this help
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:
i need help with this problem can someone help me!!!!
Answer:
x = 3 in
Step-by-step explanation:
From the Pythagorean theorem,
x² = 4²-7²
√(4²-√7²)
= √(16-7)
= √9
= 3 in
Answered by GAUTHMATH
can you please help me with number 4 please?
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..
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]