Answer:
4.75
Step-by-step explanation:
Equation:8x-6=32
8x=38
x=4.75
The value of x from the equation 8x - 6 = 32 is x = 4.75
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
8x - 6 = 32 be equation (1)
On simplifying the equation , we get
Adding 6 on both sides of the equation , we get
8x = 38
Divide by 8 on both sides of the equation , we get
The value of x = 4.75
Therefore , the value of x is 4.75
Hence , The value of x from the equation 8x - 6 = 32 is x = 4.75
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Consider a 176lb male farmer is in 104 degree heat. On this day, the humidity is low enough such that all the sweat evaporates from the farmer's skin, enabling him to maintain a body temperature of 100 degrees. The farmer sweats 1 liter of water per hour and 60% of the latent heat needed to Evan=pirate this sweat is provided by farmer's body. If the farmer suddenly dehydrates and stops sweating, how long will it take for his body temperature to rise to the near-fatal 104 degrees.
Answer:
t = 33 seconds
It is the amount of time when the temperature of the body will rise from 100 to fatal 104 in the absence of sweat.
Step-by-step explanation:
weight of the farmer = 176 lb
Sweating = 1 litre per hour
60% of above sweating is evaporated by the latent heat from farmers body.
Temperature outside = 104
Temperature of the Farmer = 100
Time to rise the temperature 4 degrees = ?
We need to use the specific heat formula to calculate the time to rise the temperature of the body of farmer.
Before, that let's convert weight of the farmer in Kg
W = 176 lb
1 lb = 0.453592 kg
176 lb = 79.8 kg
w = mg
g = 10
mass = m = 79.8/10
mass = 7.98 kg
Q = mc∆T
c = specific heat of water = 4,186
∆T = Temperature Change = 104-100
∆T = 4
Q = 7.98 x 4186 x 4
Q = 133617
t = Q/P
Power of Sun's Heat = 3.846×1026
t = 33 seconds
It is the amount of time when the temperature of the body will rise from 100 to fatal 104 in the absence of sweat.
5x-8 3x+16
Find X
Answers are; 12, 43/2, 52, 4
Answer:
Step-by-step explanation:
Those angles are vertical angles, so their measure are equal, so we can set them equal to each other to solve this problem.
5x - 8 = 3x + 16
2x - 8 = 16
2x = 24
x = 24 / 2
x = 12
What is the simplified form of the expressions?
a. −6a2b−1
b. 5/y−3
Answer:
a.
-6a²/ b
b.
5y³
Step-by-step explanation:
a
-6a²b⁻¹
-6a²/ b
b.
5/ y⁻³
5 / 1/ y³
5 * y³/1
5y³
This table shows a proportional relationship between the number of cups of bananas and apples used for a smoothie.
Cups of
Bananas
Cups of Apples
1
6
2
12
4
24
Enter the number of cups of bananas used for 1 cup of apples.
cups
Answer:
For every 1 cup of banana you have to add 6 cups of apples. So it means there's six times as much apples as there is bananas. If there's 3 cups of apples, which is half of 6, it means the banana would now also have to be halved from 1 to half a cup.
Whatever you do to the bananas or the apples, you have to maintain the same ratio. Which is that apples is 6 times as much as bananas.
So 1 cup of apple would need to be divided by 6, to get banana. That would be approximately 1÷6= 0.167 cups
Sarah made a certain number of bracelets for a craft show. Maria made 7 more than Sarah. Julie made 3 times as many as Maria.
Which expression represents the total number of bracelets Julie made if Sarah made s bracelets?
3s + 7
s + 21
21s
3(s + 7)
Answer:
D
Step-by-step explanation:
What is 70% of 40??????
Answer:
28
Step-by-step explanation:
hope this helps
Answer:
28
Step-by-step explanation:
70% is equal to 70/100. "of" when used in math means multiplaication.
so we do 70/100 x 40
we can simplify 70/100 to get 7/10.
now we multiply:
7/10 x 40 = 28
help please I beg you
Answer:
a. x= 5
b. x=9
Step-by-step explanation:
a.
2x=10
10/2=5
x=5
b. 3x=27
27/3=9
x=9
Please mark me brainliest
:)
Answer:
a) x=5
b) x=9
Step-by-step explanation:
a) 2x=10
x=10/2
x=5
b)3x=27
x=27/3
x=9
The graph below represents one function, and the table represents a different function. How are the functions similar? How are they different?
Answer:
Step-by-step explanation:
they both go thur the point (0,-4) so they both have the same b in the slope intercept from of y =mx +b
but.. they have a different slope... m , the graph has a slope m of 4/3 while the table has a slope of 1 , both positive.. :)
The equation given by the graph is y = (4/3)x - 4 while the table is y = x - 4. Both equation have a y intercept of -4.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
From the graph, using the point (3, 0) and (0, -4):
y - 0 = [(-4 - 0)/ (0 - 3)](x - 3)
y = (4/3)x - 4
From the table using (0, -4) and (2, -2):
y - (-4) = [(-2-(-4))/(2-0)](x - 0)
y = x - 4
The equation given by the graph is y = (4/3)x - 4 while the table is y = x - 4. Both equation have a y intercept of -4.
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Have no idea how to do this lok
Answer:
that hard
Step-by-step explanation:
You have 3/5gallon of juice and drink 1/3 gallons how much is left
Answer:
4/15 gallons of juice
Step-by-step explanation:
Total gallon you have = 3/5gallons
Amount consumed = 1/3 gallons
Amount left = Total gallons + Amount consumed
Amount left = 3/5-1/3
Find the LCM
amount left = (3)(3)-5(1)/15
Amount left = (9-5)/15
Amount left = 4/15
Hence 4/15 gallons of juice is left
What is the exact value of tan ( 5 pi/8 )
===================================================
Explanation:
Make sure your calculator is in radian mode. Use your calculator to find that tan(5pi/8) = -2.41421 which is approximate.
Since the value is negative, this means the answer is between choices C and D. You can use your calculator to compute those expressions given and you should find it matches with choice D.
----------------------
Further explanation:
We can apply the half angle identity for tangent like so
[tex]\tan\left(\frac{x}{2}\right) = \pm \sqrt{\frac{1-\cos(x)}{1+\cos(x)}}\\\\\\\tan\left(\frac{5\pi/4}{2}\right) = -\sqrt{\frac{1-\cos(5\pi/4)}{1+\cos(5\pi/4)}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1-\left(-\frac{\sqrt{2}}{2}\right)}{1+\left(-\frac{\sqrt{2}}{2}\right)}}\\\\\\[/tex]
Simplifying further, we get
[tex]\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1+\frac{\sqrt{2}}{2}}{1-\frac{\sqrt{2}}{2}}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}\\\\\\[/tex]
In the last step, I multiplied top and bottom of the outer fraction by 2 to clear out the denominators of the inner fractions.
Answer:
Answer D
Step-by-step explanation:
on edge 2023
what is the total surface area?
Answer:
136
Step-by-step explanation:
9*4=36+100=136
Mrs. Maxwell is teaching a 5th grade class. She is standing 9 meters in front of Bruce. Ruth is sitting to Bruce's right. If Ruth and Mrs. Maxwell are 15 meters apart, how far apart are Bruce and Ruth?
9514 1404 393
Answer:
12 m
Step-by-step explanation:
The distances of interest are the sides of a right triangle whose right angle is at Bruce. The hypotenuse of the triangle is the Teacher-Ruth distance. The unknown side (x) can be found using the Pythagorean theorem:
x² + 9² = 15²
x² = 225 -81 = 144
x = √144 = 12
Bruce and Ruth are 12 meters apart.
can anyone please help i am stuck on this question?
Answer:
8/17
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the ratio.
Step 2: Identify
POV from angle S
Adjacent = 8
Hypotenuse = 17
Step 3: Write
Substitute [cosine]: cos(s) = 8/17The graphs below have the same shape. What is the equation of the blue
graph?
A. g(x) = (x+4)^2
b. g(x) = x^2-4
c. g(x) = x^2+4
d. g(x) = (x-4)^2
(D) [tex]g(x)=(x-4)^{2}[/tex]
Graphs:The set of ordered pairings (display style [tex](x,y)[/tex]) of a function (display style [tex]f(x)=y[/tex]) in mathematics is known as the graph of that function. These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the typical case where "display style [tex]x[/tex]" and "display style [tex]f(x)[/tex]" are real values.Graph equations:Equations with graphs as the unknowns are known as graph equations in graph theory. The concept of isomorphism is one of the key issues in graph theory. Different graph equations may be used to express the aforementioned graphs.Therefore, the correct equation for the blue graph is [tex]g(x)=(x-4)^{2}[/tex].
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Solve the proportion what y = ?
Answer:
y = 12
Step-by-step explanation:
proportions can be solved by cross-multiplying
to work with smaller numbers, you can simplify [tex]\frac{14}{10}[/tex] to be [tex]\frac{7}{5}[/tex]
[tex]\frac{7}{5}[/tex] = [tex]\frac{y+9}{15}[/tex]
7(15) = 5(y + 9)
105 = 5y + 45
60 = 5y
y = 12
Question 7 of 25 Which of the binomials below is a factor of this trinomial? x - 6x-16 O A. X-1 O B. X-8 OC. X-16 O D. x-2
Answer:
(x-8) is the factor.
Step-by-step explanation:
The given trinomial is [tex]x^{2}-6x-16[/tex].
We need to find the factor of this trinomial.
[tex]x^{2}-6x-16=x^2-8x+2x-16\\\\=x(x-8)+2(x-8)\\\\=(x+2)(x-8)[/tex]
The factors of [tex]x^{2}-6x-16[/tex] is (x-2) and (x-8).
So, the factor of [tex]x^{2}-6x-16[/tex] is (x-8). Hence, the correct option is (B).
The Langleys spend 40% of their monthly income on rent. If their monthly income is $4,400, how much money do the Langleys spend on rent? Help please.
100%=$4400
40% $=?
40 ×4400/100
$1760
3/4 divided by 1/5
Please answer soon
Answer:
15
Step-by-step explanation:
im in algebra two so you can trust my answer. happy holidays and stay safe!
when a three-dimensional figure is exended infinitely in all directions,which of the following best describes what is formed?
Answer:
2
Step-by-step explanation:
which one is greater 0.503 or 0.53
Answer:
0.53
Step-by-step explanation:
Hope this helps.
tom and tammy race cross country on motor bikes to drive 450 miles in 9 hours. Tammy took 7 1/2 hours to travel the same distance as tom compute the unit rate that describes toms average driving speed and tammy's average driving speed show how your decisions below
Answer:
50 and 60 mph respectively
Step-by-step explanation:
Step one:
given data
total distance= 450 miles
time take= 9 hours
Required
Tom and Tammy's average speed
Step two:
Tom's average speed= 450/9
= 50 miles per hours
Tammy's average speed= 450/7.5
= 60 miles per hours
y=-4/7x-4
Can someone help me please
Help easy math problems!!!!!
Answer:
Answer Below
Step-by-step explanation:
tan(D): yes
sin(F): yes
Cos(F): no
Sin(D): no
Answer:
tan(D): yes
sin(F): yes
Cos(F): no
Sin(D): no
Step-by-step explanation: Solve for values of all, then check if the equation makes sense.
Eric's father Works two part-time jobs one in the morning and one in the afternoon and works a total of 40 hours each five day workweek if your schedule is the same each day and he works 3 hours each morning how many hours does Eric's father work each afternoon
Answer:
8
Step-by-step explanation:
because 40 devided by 5 equals 8 so thats how many hours in the afternoon
whoever answers first get brainliest
What is the slope of the line that passes through the points (−4,−3) and (14,0)?
Answer:
[tex]m=\frac{1}{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, -3)
Point (14, 0)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{0+3}{14+4}[/tex]Evaluate Addition: [tex]m=\frac{3}{18}[/tex]Simplify: [tex]m=\frac{1}{6}[/tex]Geometry help please explain
Answer:
<A and <C
Step-by-step explanation:
If EA and EC are congruent, the angles <A and <C are also congruent
Answer:
angle A congruent to angle C
I need help, please solve this 2(x+5)^4=128
Help please
How are the properties of exponents used to rewrite expressions?
Answer: The five exponent properties are
Product of Powers: When you are multiplying like terms with exponents, use the product of powers rule as a shortcut to finding the answer. It states that when you are multiplying two terms that have the same base, just add their exponents to find your answer.
Power to a Power: When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. ... Then multiply the two expressions together. You get to see multiplying exponents (raising a power to a power) and adding exponents (multiplying same bases).
Quotient of Powers: When you are dividing like terms with exponents, use the Quotient of Powers Rule to simplify the problem. This rule states that when you are dividing terms that have the same base, just subtract their exponents to find your answer. The key is to only subtract those exponents whose bases are the same.
Power of a Product: The Power of a Product rule is another way to simplify exponents. When you have a number or variable raised to a power, it is called the base, while the superscript number, or the number after the '^' mark, is called the exponent or power.
Power of a Quotient: The Power of a Quotient rule is another way you can simplify an algebraic expression with exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent or power
You can use these any way you want to rewrite an equation.
Hope this helped
Step-by-step explanation: