Answer:
In solving an equation where one fraction is equal to another fraction we can use the method of cross-multiplication
⇒x+6x=107
Now multiply the red terms together, the blue terms together and equate them.
⇒10x=7(x+6)
distribute the bracket.
Hi I need help
1) -15+4r=-9
2)5-y/3=-1
3)42=5x-8
That's all, you don't have to show work, but I'd appreciate it:) asap pls
Equation #1:
-15+4r=-9We move all terms to the left:
-15+4r-(-9)=0
We add all the numbers together, and all the variables
4r-6=0
We move all terms containing r to the left, all other terms to the right
4r=6
r=6/4
r=1+1/2
Equation #2:
5-y/3=-1We move all terms to the left:
5-y/3-(-1)=0
We add all the numbers together, and all the variables
-y/3+6=0
We multiply all the terms by the denominator
-y+6*3=0
We add all the numbers together, and all the variables
-1y+18=0
We move all terms containing y to the left, all other terms to the right
-y=-18
y=-18/-1
y=+18
Equation #3:
Simplifying
42 = 5x + -8
Reorder the terms:
42 = -8 + 5x
Solving
42 = -8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
42 + -5x = -8 + 5x + -5x
Combine like terms: 5x + -5x = 0
42 + -5x = -8 + 0
42 + -5x = -8
Add '-42' to each side of the equation.
42 + -42 + -5x = -8 + -42
Combine like terms: 42 + -42 = 0
0 + -5x = -8 + -42
-5x = -8 + -42
Combine like terms: -8 + -42 = -50
-5x = -50
Divide each side by '-5'.
x = 10
Simplifying
x = 10
Step-by-step explanation:
hope it's beneficial.
Draw my attention for further explanations.✨✨
At summer camp the ratio of boys to girls was 2:7. If there were 28 boys, how many girls are there?
Answer:
98 girls
Step-by-step explanation:
Every 2 boys there are 7 girls. So, there are 28 boys we need to find how many more times boys there are so, 28/2=14 and then we would multiply 14*7=98. So, 98 girls.
List the angles in order from smallest to largest.
smallest to largest
Options are U, T,S place in order smallest to largest
Answer:
T, S, U
Step-by-step explanation:
Answer:
U S T
Step-by-step explanation:
The largest angle is going to be opposite the longest side. It stands to reason that the two arms that define the enclosed angle (t) have to have their arms stretched further away from each other in order to accommodate T. So T is the largest angle.
By a similar line of reasoning, the second largest angle is opposite the second largest side. S is the second largest angle.
The smallest angle is opposite the smallest side.
A pencil holder shaped like a triangular prism is shown in the picture. The height of the pencil holder is 12 cm, and the volume of the pencil holder is 216cm3
What is the area of the base of the pencil holder in square centimeters?
V = Bh
Answer:
d 18
Step-by-step explanation:
Write an expression equivalent to m + m + m + m that is a sum of two terms.
Answer:
5m
Step-by-step explanation:
add them and add 1
An expression equivalent to m + m + m + m as a sum of two terms is 4m.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is:
m + m + m + m
Equivalent expressions are expressions that work the same even though they look different.
We can combine like terms to simplify the expression:
m + m = 2m
Now plug in the expression of m+m in the given expression.
So the expression becomes:
m + m + m + m = 2m + 2m
Now we have expressed the given expression as a sum of two terms, which are both 2m:
2m + 2m = 4m
Therefore, an expression equivalent to m + m + m + m as a sum of two terms is 4m.
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Which of the following choices shows the simplified ratio of 15 feet: 210 feet?
1 ft: 14 ft
3 ft : 70 ft
5 ft : 70 ft
None of the choices are correct.
The simplified ratio is 1 ft : 14 ft.
To simplify the given ratio of 15 feet to 210 feet, you need to find the greatest common divisor (GCD) of the two numbers and then divide both by the GCD.
The GCD of 15 and 210 is 15.
Divide both numbers by the GCD:
15 ÷ 15 = 1
210 ÷ 15 = 14
So, the simplified ratio is 1 ft : 14 ft. The correct answer is the first option.
Neveah weighed her cat every day for a year. She then chose a representative sample
of 5 random days of the month from 1 to 30 and recorded the weight for that day of the
month in April and November
Select the three true statements based on the sample.
A representative sample implies a subset of a population that reflects the characteristics of the larger group.
What is a representative sample?Your information is incomplete as the options are not given. Therefore, an overview will be given.
A representative sample is the small number of people who reflect a more extensive group accurately. In this case, since Neveah chose a representative sample of 5 random days of the month, it is important for the sample to depict the entire population.
In such a case, the sample has certain qualities that the population has too.
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HELP WILL GIVE BRAINLIEST!!!!
Answer:
- 1/9
Step-by-step explanation:
- ( 3 ^ -5) ( 3 ^3)
We know that a^ b* a^c = a^ ( b+c)
- ( 3^(-5+3))
-( 3 ^ (-2))
We know that a^ -b = 1/a^b
- ( 1/ 3^2)
- 1/9
Answer:
- 1/9
Step-by-step explanation:
stop deleting my answer Brainly :) its right
Can someone please helpp
Answer:
B
Step-by-step explanation:
find the area of the composite shape
pls help mee
Answer:
151.33cm²
Step-by-step explanation:
separate the figure into a rectangle and a scalene triangle...then use heros formula to get area of triangle then add to area of rectangle.
I hope this helps!
In Exercises 1 and 2, use a ruler to measure the length of the segment to the
nearest eighth of an inch.
Answer:
Time to sleep bro
Step-by-step explanation:
have sweet dreams
Which of the following expressions will produce an answer with three significant figures? Check all that apply. A. 101 - 83.4 B. 121 - 1.75 O C. 7.23 + 12.6 D. 17. 1.5
Answer: option A and D results in 3 significant figures.
Step-by-step explanation:
A. \(101 - 83.4 =17.6\)
The number 17.6 has three significant figures.
B. \(121 - 1.75 =119.25\)
The number 119.25 has 5 significant figures
C. \(7.23 + 12.6=19.83\)
The number of 19.83 has 4 significant figures.
D. \(17\cdot 1.5=25.5\)
The number of 25.5 has 3 significant figures.
Hence, option A and D results in 3 significant figures.
please help me
Question 8 < > Consider the function f(x) x +6 * - 18.2+ 6, -23.37. The absolute maximum of f(x) (on the given interval) is at and the absolute maximum of f(x) (on the given interval) is The absolute
The absolute maximum of f(x) on the given interval is at x = -23.37 and the absolute minimum is at x = -6.2.
To find the absolute maximum of the function \(\(f(x) = x^2 + 6x - 18\)\) on the given interval, we first need to locate the critical points and the endpoints of the interval.
Taking the derivative of \(f(x)\) with respect to \(x\), we get:
\(\[f'(x) = 2x + 6\]\)
Setting \(\(f'(x)\)\) equal to zero to find critical points:
2x + 6 = 0
x = -3
Now, we evaluate f(x) at the critical point and the endpoints of the given interval:
\(f(-6.2) = (-6.2)^2 + 6(-6.2) - 18 = 38.44\)
\(\(f(6) = (6)^2 + 6(6) - 18 = 54\)\)
\(\(f(-23.37) = (-23.37)^2 + 6(-23.37) - 18 = 146.34\)\)
Comparing the values, we can conclude the following:
- The absolute maximum of f(x) on the given interval is at x = -23.37 with a value of 146.34.
- The absolute minimum of f(x) on the given interval is at x = -6.2 with a value of 38.44.
Therefore, the absolute maximum of f(x) on the given interval is at x = -23.37 and the absolute minimum is at x = -6.2.
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how old are you android phone is not
Answer:
I am 14 years old
Step-by-step explanation:
A man and a woman share a prize
of $1,000
between them in the ratio 1:3 . The women shares her part
between herself
, her mother and her daughter in the
ration 2:1:7. How much does her daugter receiv?
Step-by-step explanation:
What type of line the picture represent
A quadratic function has the complex roots (1 +3i) and (1 – 3i). What is the
quadratic function in standard form?
Answer:
x² - 2x + 10 = 0Step-by-step explanation:
The roots are:
(1 +3i) and (1 – 3i)The equation is:
(x - (1 + 3i))(x - (1 - 3i)) = 0x² - (1 + 3i + 1 - 3i)x + (1 + 3i)(1 - 3i) = 0x² -2x + (1 - 9i²) = 0x² - 2x + 1 + 9 = 0x² - 2x + 10 = 0The decimal -2.97 is the solution to which subtraction problem?
-6.1 - 3.13
-6.1 - (-31.3)
-0.61 - (-3.13)
-6.1 - (-3.13
Answer:-6.1-(-3.13
Step-by-step explanation:
After you change the two negatives in the middle to a positive, the equation would simplify to -6.1+3.13.
hw 6 1 before you begin, verify if this system will converge for gauss-seidel method. if yes, explain why you think so. if not, rearrange to take the system to a form so that convergence is assured. system: 10cc1 2cc2 − cc3
The given system satisfies the convergence condition for the Gauss-Seidel method, indicating that it will converge.
To determine if the given system will converge for the Gauss-Seidel method, we need to check if it satisfies the convergence condition.
In the Gauss-Seidel method, a system converges if the absolute value of the diagonal elements of the coefficient matrix is greater than the sum of the absolute values of the other elements in the same row.
Let's analyze the given system:
10cc1 + 2cc2 - cc3
The diagonal element is 10, and the sum of the absolute values of the other elements in the first row is 2 + 1 = 3. Since 10 > 3, the convergence condition is satisfied.
Therefore, we can conclude that the given system will converge for the Gauss-Seidel method.
To verify if a system will converge for the Gauss-Seidel method, we need to ensure that the convergence condition is satisfied. In this method, convergence is achieved if the absolute value of the diagonal elements of the coefficient matrix is greater than the sum of the absolute values of the other elements in the same row.
Analyzing the given system, we have the equation 10cc1 + 2cc2 - cc3 . We observe that the diagonal element of the coefficient matrix is 10. Now, let's calculate the sum of the absolute values of the other elements in the first row. We have 2 and 1 as the other elements. Adding their absolute values, we get 2 + 1 = 3.
Comparing the diagonal element with the sum, we find that 10 is greater than 3. Therefore, the convergence condition is satisfied for this system. As a result, we can conclude that the given system will converge when using the Gauss-Seidel method.
The given system satisfies the convergence condition for the Gauss-Seidel method, indicating that it will converge.
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suppose a fair die is rolled twice, what is the probability that the sum of the two outcomes is 6, given that the sum is even
Probability that that sum of the two dice outcomes is 6 is 5/36
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur.We know,
Probability = Number of events / Total no. of favourable outcomes
If we through two dice then ,
Total number of favourable outcomes = 36
Here, we need the sum of the two outcomes is 6 is
(1, 5) , (2, 4), (3, 3), (4, 2), (5, 1)
So, the number of events = 5
P(of getting sum 6) = 5/ 36
Hence, Probability that that sum of the two dice outcomes is 6 is 5/36
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What is the equation of the line that passes through the point (-4,-3)(−4,−3) and has a slope of -3/4
The equation of the line is y = -(3/4)x - 6.
What is a line?A line is a perfectly straight, one-dimensional shape that extends endlessly in both directions and has no thickness.
Given that, the line passes through the points (-4,-3) and has a slope of -3/4.
The equation of the line in point-slope form is:
y - y₁= m (x -x ₁)
Substitute (x₁,y₁) = (-4,-3) and m = -3/4 into the above equation,
y - (-3) = -3/4 (x - (-4))
y + 3 = -3/4 (x + 4)
y = -(3/4)x -3 -3
y = -(3/4)x - 6
Hence, the equation of the line is y = -(3/4)x - 6.
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Find the derivative of the function f(x). It may be to your advantage to simplify first. f(x)=x^2/9x
To find the derivative of f(x) = x²/9x, we will have to simplify it first. After simplifying it. we can apply the differentiation formula. Simplifying the given function:
f(x) = x²/9x
= x/9
Now that we have the simplified form of f(x), we can find its derivative as follows: Using the power rule of differentiation, we get dy/dx = 1/9 d/dx (x) dy/dx = 1/9. In calculus, the derivative of a function represents the rate at which the function is changing at any given point. We can calculate the derivative of any function using various differentiation formulas, such as the power rule, product rule, quotient rule, and chain rule.
In the given problem, we have to find the derivative of the function f(x) = x²/9x. However, we can simplify this function first by canceling out the common factor of x in both the numerator and denominator. This simplification results in the new function f(x) = x/9. Now that we have the simplified form of f(x), we can apply the differentiation formula. Using the power rule of differentiation, we can find the derivative of f(x) with respect to x. After applying the differentiation formula, we get the answer f'(x) = 1/9. Therefore, the derivative of the function
f(x) = x²/9x is
f'(x) = 1/9.
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True or false: By using the Additive Inverse Property, -64-(-17) can be rewritten as -64+17
Answer:
True
Step-by-step explanation:
two negatives equal a positive
a ton of recycled paper will save 17 trees. if one bag weighs 2 oz, how many bags are needed to save 68 trees?
Answer:8
Step-by-step explanation:divide 136 with 17 to see how many tons needed
how to simplify 12+ 2(3x+7)
Answer:
26+6x
Step-by-step explanation:
check the image for explanation
f(x)= 2x+6
g(x)= -3x+2
Find f(x)-g(x)
Answers ASAP THANKS!!!
Can someone who is good in algebra help me with graphing the
inverse of the function represented by the graph
Answer:
To find the inverse, locate points on the graph. In this case, the plotted points are (4, -5) (5,-4) and (6,-1). To figure out the inverse, we just swap those around. (-5, 4) (-4, 5) and (-1, 6).
Some more points that you can plot are: (2, -1) (3, -4) and swap those around for (-1, 2) and (-4, 3).
Step-by-step explanation:
6m+27=8.25m
m=?
HELPPP
Answer:
12
Step-by-step explanation:
This is correct. Trust me.
I'm glad I could help:)
6m+27=8.25m
You have to subtract 6m on both sides first.
6m+27=8.25m
-6m -6m
27=2.25m
Now we divide 2.25 from both sides.
27=2.25m
/2.25 /2.25
12=m
---
hope it helps
Answer #3 & #4 with proof please ! I'll give you brainliest :)
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides , then
2x - 6 + x + 4 + 10 > 50
3x + 8 > 50 ( subtract 8 from both sides )
3x > 42 ( divide both sides by 3 )
x > 14
(4)
The area is calculated by multiplying length and breadth , then
3(4x - 2) < 138 ( divide both sides by 3 )
4x - 2 < 46 ( add 2 to both sides )
4x < 48 ( divide both sides by 4 )
x < 12
what is the p-value for a two-sided hypothesis test that the beta coefficient on education is .59?
The p-value for a two-sided hypothesis test that the beta coefficient on education is .59 is 0.1211.
Describe p-value:The p-value is a measure of the probability that the results of a statistical test are due to random chance. It is commonly used to help determine whether or not to reject the null hypothesis in favor of an alternative hypothesis.
This p-value is calculated by assessing the null hypothesis that the beta coefficient on education is equal to zero against the alternative hypothesis that the beta coefficient on education is different than zero.
This is done by evaluating the t-statistic for the coefficient and determining its corresponding p-value.
Therefore , p- value of hypotesis which the given coefficient is 0.1211
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