The value of x for the equation 4(5x - 4) = 64( 2x + 12) is x = -7.25
What is equation ?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.
4(5x - 4) = 64(2x + 12)
20x - 16 = 128x + 768
20x - 128x = 768 + 16
-108x = 784
x = -7.25
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Select all of the true statements below.
1.) 8u+3v+5 is written as a sum of three terms.
2.)8u is a coefficient.
3.)8u and 5 are like terms.
4.)5 is a constant.
5.) 8u is a factor.
6.)None of these are true.
the true statements for 8u + 5 + 3v are:
1.) 8u+3v+5 is written as a sum of three terms.
4.)5 is a constant.
What is constant?The word "constant" in mathematics has several different connotations. When used as a noun, it can have either of the following two meanings: Non-variance (i.e., not changing in relation to some other value) or Variance.
an unchanging number or other non-changing mathematical object that is fixed and well-defined. Sometimes, to distinguish between these two meanings, the terms mathematical constant or physical constant are used.
a function with a constant value (i.e., a constant function).
These constants are frequently represented by a variable that is independent of the main variable or variables in question.
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encircle the number that are divisible by 2 a.4224 b.3012 c.8817 d. 10172
Answer:
a,b,c are divisible by 2
A squre has 12cm length find it's area and perimeter
Answer:
a=L² is is the formula for the area of square. where L represent the length.
a=(12cm)²
a=144cm²
p=4(L) is the formula for the perimeter of a square. where L represent the length
p=4(12cm)
p=48cm
i need help please i dont get this
Answer:
See attached
Step-by-step explanation:
You want the solution to the inequality -12x < -48 shown on a number line.
SolutionThe solution to the inequality is found by dividing by the x-coefficient
-12x < -48
x > 4 . . . . . . . divide by -12
When working with inequalities, you need to know that multiplying or dividing by a negative number reverses the inequality symbol.
GraphThe value x=4 is not included in the solution set, so an open circle is plotted at that point. All values of x greater than x=4 are included in the solution set, so the number line is shaded to the right of the open circle.
The graph of the solution is shown in the attachment.
__
Additional comment
Often, you can avoid multiplying or dividing an inequality by a negative number by rearranging it. Here, adding 12x+48 to both sides makes it be ...
48 < 12x
Now, you can divide by 12 without worrying about the inequality symbol:
4 < x . . . . . same as above
odd function f(x) is defined for all real values of x. for the function g(x)=2.3+f(x-9), calculate g(6)+g(8)+g(10)+h(12).
Answer:
easy theanswer is -14x
Step-by-step explanation:
What is a root of a polynomial function?
Answer:
d. a value of the variable that makes the polynomial equal to zero
What is 17 divided by 9
PLZ HELP I WILL GIVE YOU POINTS PLZ!!!
Create a stem-and-leaf plot to organize the data.
40, 48, 49, 52, 55, 64, 70, 71, 72, 72, 78, 78, 79, 87, 89
Enter your answers in the boxes to correctly complete the table
Create a stem-and-leaf plot to organize the data.
40, 48, 49, 52, 55, 64, 70, 71, 72, 72, 78, 78, 79, 87, 89
Enter your answers in the boxes to correctly complete the table.
Anwnser:
1...3
Step-by-step explanation:
i dont know how to explain Hope it helps
Answer:
hi
Step-by-step explanation:
4 0 8 9
5 2 5
6 4
7 0 1 2 2 8 8 9
8 7 9
I'm not sure what I did wrong here, I only have one try at this question, please help!
Your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost. How much did the shoes cost? Write and solve an equation, let s represent the cost of the shoes.
The equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost.
Let s represent the cost of the shoes.
Now, equation is
8% of s=10
8/100 ×s=10
0.08s=10
s=10/0.08
s=$125
Therefore, the equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.
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Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?
Answer:
Step-by-step explanation:
Marina, everyone has a tough time with this type of math problem, just send me a note if you get stuck on these. :P
You're given two points,
P1 = (-4,8) in the form (x1,y1)
P2 = (1,3) in the form (x2,y2) ( I made the forms, so can you )
slope = m
m = (y2-y1) / (x2-x1)
m = (3-8) / ( 1 - (-4))
m = -5 / (1 + 4)
m = -5 / 5
m = -1
now use the point-slope formula
y-y1=m(x-x1)
y-(8) = -1(x-(-4))
y-8 = -1(x+4)
y-8 = -x -4
y = -x-4+8
y = -x +4
That's the equation :P
A 50 Gram Sample of a substance that used to treat thyroid disorders has a K-value of 0.1113. What is the half life? thanks
The half life of the iodine is obtained as 6.2 s.
What is the half life?
Let us recall that the half life would be the time that is taken for about half of the original radioactive isotope that remains in the sample, to become depleted in the thyroid treatment.
Given that we have the fact that the decay constant that we have in the process is given as 0.1113 in the question and we know that;
Half life = 0.693/K
Half life = 0.693/0.1113
Half life = 6.2 s
It would have the half life about 6.2 s.
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Maya is a plumbing engineer who works with Overflo clients on residential plumbing and field draining and irrigation projects. Overflo closely supervises all of its engineers, and dictates their work schedules. Noel works part-time in the evenings cleaning the offices and warehouse. To Noel is Overflo's:_____.
a. employee, agent and independent contractor.
b. employee and agent.
c. agent to Overflo's customers.
d. independent contractor only.
PLEASE ANSWER ASAP NO LINKS OR WILL BE REPORTED! 3. The measure of side c is 100 inches. The measure of side a is 75 inches. What is the length of side b? SHOW ALL OF YOUR WORK Answer:
Answer:
66.14inches
Step-by-step explanation:
pyhtgreom therom
75^2+b^2 = 100^2
5625 + b^2 = 10,000
subtract both sides by 5625
b^2 = 4375
square root both sides
b = 66.14
Mary bought 5 pounds of grapes for $19. Mark bought 4 pounds of grapes for $16. Complete the statement comparing Mary's unit rate with Mark's unit rate.
Mary paid $3.80 per pound and Mark paid $4.00 per pound.
19 ÷ 5 = 3.80
16 ÷ 4 = 4
Mary's unit rate is less than Mark's unit rate.
How to calculate expression?To compare the unit rate of Mary and Mark, we need to find how much each of them paid per pound of grapes.
Mary paid $19 for 5 pounds of grapes, so her unit rate can be calculated as:
The unit rate of Mary = Total cost of grapes / Total amount of grapes purchased
= $19 / 5 pounds
= $3.80 per pound
Mark paid $16 for 4 pounds of grapes, so his unit rate can be calculated as:
The unit rate of Mark = Total cost of grapes / Total amount of grapes purchased
= $16 / 4 pounds
= $4.00 per pound
Comparing the unit rate of Mary and Mark, we can see that Mary paid less per pound of grapes than Mark did.
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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 408 grams with a standard deviation of 14. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
The decision rule for rejecting the null hypothesis is [tex]t < -1.721[/tex]
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags.
At the null hypothesis, we test if the mean weight of the bag is the desired value of 410, that is:
[tex]H_0: \mu = 410[/tex]
At the alternate hypothesis, we test if the bag is underfilled, that is, the mean weight is below the desired value, so:
[tex]H_0: \mu < 410[/tex]
Type of test:
As we test if the mean is less than a value, we have a left-tailed test.
We have the standard deviation for the sample, which means that the t-distribution is used.
We have 22 - 1 = 21 degrees of freedom, with a level of significance of 0.05.
Using a calculator, the critical value is [tex]t_c = -1.721[/tex]
Determine the decision rule for rejecting the null hypothesis.
We reject the null hypothesis if the test statistic is less than the critical value, so the decision rule for rejecting the null hypothesis is [tex]t < -1.721[/tex]
Round 0.12406667 to the nearest hundredth
Answer:
Step-by-step explanation:
0.124
Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Answer: B y = -4/7x + 7
Step-by-step explanation:
The equation in the form y = mx + b
m = -4/7 and b = 7
Equation: y = -4/7x + 7
How many unique tree graphs (i.e. with different degree patterns) can be made with
4 vertices?
a) 0
b) 1
c) 2
d) 3
Someone please help. This is Delta Math
Answer:
uyt6?
Step-by-step explanation:
Brenden bought an iced tea that cost $4.06 plus 7% sale tax if Brandon left on 18% tip on the $4.06 how much in total did he pay
Answer:$5.07
Step-by-step explanation:you are welcome
Brendon paid $5.075 in total.
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, Brendon bought an iced tea that cost $4.06 plus 7% sale tax if Brandon left on 18% tip on the $4.06
The total he pay =
= 7% of 4.06 + 18% 0f 4.06 + 4.06
= 0.2842+0.7308+4.06
= 5.075
Hence, Brendon paid $5.075 in total.
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The angle bisectors of triangle ABC are , , and . They meet at a single point . (In other words, is the incenter of .) Suppose , , , and .
To solve this we must be knowing each and every concept related to triangle. Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.
What is triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The denotes a triangle having vertex A, B, and C. In Euclidean geometry, every three non-collinear points define a unique triangle and, by extension, a unique plane.
In geometry, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.
Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.
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Which expression is equivalent to 12(6x+12)? A. 6x+14 B. 12x+1 C. 3x+12 D. 3x+14 please answer
Step-by-step explanation:
B.12x + 1
if it helps brainiest lol
Pls help I will mark u what ever you want
Answer:
1.) True
2.) True
3.) False
4.) True
Hope this helps!
Use Exponential Functions
From the table below, determine whether the data shows an exponential function. Explain why or why not.
a. No; the domain values are at regular intervals.
b. No; a different value is added to each range value.
c. No; there is no relationship between the x value and its corresponding y value.
d. Yes; the domain values are at regular intervals and the range values have a common factor 2.
Please select the best answer from the choices provided
Answer:
C. No; there is no relationship between the x value and its corresponding y value.
Step-by-step explanation:
I calculated it logically
Answer:
The correct answer c. No; there is no relationship between the x value and its corresponding y value
Question 1 of 10
Which choices are equivalent to the expression below? Check all that apply.
√5. √20
☐
A. 100
B. 5.2
C. 10
D. √5 √√5√4
E. √5 20
F. √25
.
SUBMIT
Choices that is equivalent to the expression √5. √20 is 5.2
Define equivalence.In mathematics, the word "equivalent" designates two quantities, numbers, or meanings that are the same. A bar across an equivalent sign or Equivalent Sign shall be used to indicate the equivalence of two such quantities. Additionally, it denotes the logical equivalent of two values or a group of quantities.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
x= (5)^1/2*(20)^1/2
x= (5)^1/2*(2.2.5)^1/2
x=5.2
So B is the correct option.
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A triangle with a base length of 8 cm is reduced to a triangle with a base length of 4 cm. What
scale factor was used?
the circles with the centre at P and Q are such that each passes through the centre of the other. the circle intersect at points R and S as shown
what is the measure of ∠PRQ
a.45⁰
b.50⁰
c.60⁰
d.90⁰
Answer:
C) 60°
Step-by-step explanation:
Each side of the triangle is a radius of the circle. Since all three sides are equal, it’s an equilateral triangle, so they are all 60° angles.
Find the slope of the line.
.......................
Answer:
Direct variation
Step-by-step explanation:
Given
[tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex]
Required
The type of variation
The given equation represents a direct variation.
A direct variation is:
[tex]a = kb[/tex]
Where
[tex]k\to[/tex] constant of variation
Make k the subject
[tex]k = \frac{a}{b}[/tex]
For corresponding values of and b, we have:
[tex]k = \frac{a_1}{b_1} = \frac{a_2}{b_2} = \frac{a_3}{b_3} = ............. =\frac{a_n}{b_n}[/tex]
Hence, [tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex] is a direct variation