Answer:
\(\boxed {\sf Equation: 60 \textdegree +4x= 180 \textdegree} \\\)
\(\boxed {\sf x=30}\)
Step-by-step explanation:
The interior angles of a triangle must add to 180 degrees.
In this triangle, the angles are A, B , and C. So,
∠A + ∠B + ∠C= 180°∠A is 60 degrees, ∠B is 3x, and ∠C is x. We can substitute the values in.
60°+3x+x=180°This is the equation we can use to find the value of x.
We also have like terms: 3x and x that can be combined.
60° + (3x+x)= 180° 60° + 4x=180°We can use the equation to solve for x. We have to isolate the variable.
60 is being added to 4x. The inverse of addition is subtraction. Subtract 60 from both sides of the equation.
60°-60°+4x=180°-60°4x= 180°-60°4x=120°x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
4x/4= 120°/4x= 120°/4 x=30What is the midpoint of the segment shown below?
O A. (-9, 3)
O B. (-9, 3)
O c. (-9, ;)
D. (-9, 3)
Answer:
where the segment ??????!??!??!?
Step-by-step explanation:
give me the segment I may be able to answer
5. How does the standard deviation help you to determine concentration of the data and whether or not there are potential outliers?
Answer:
like1,2,3,,4,5,6,7,8,9,12,1,5,156
What is the value of the expression when a = 4, b = 3 , and c = 10?
3a4b−c
a 1
b 4
c 6
d 12
Answer:
3a4b-c
3(4)4(3)-10
12(12)-10
144-10
=134
Step-by-step explanation:
Answer:
134
Step-by-step explanation:
3×4=12
4×3=12
12×12=144
144-10=134
thats what I got
hope it helps
Evaluate the function for the given values of x.
-3x+7
for x < -1
g(x) =
x²+2
for -1
5
for x>4
g(-1)=
Answer:
g(3) = 11
g(-3) = 16
g(-1) =3
Step-by-step explanation:
For g(3)
g(x)= x² +2
g(3) = 3² + 2
g(3) = 9+2
g(3) = 11
For g(-3)
g(x) = -3x + 7
g(-3) = -3(-3) + 7
g(-3) = 9 + 7
g(-3) = 16
For g(-1)
g(x) = x² + 2
g(-1) = (-1)² +2
g(-1) = 1+2
g(-1) =3
HELP PLEASE!! Dominique is selling merchandise for a school fundraiser. She is selling calendars for $8 each and coffee mugs for $12 each. She must sell at least $800 of merchandise, including at least 60 calendars, to meet her goals.
If x represents the number of calendars and y represents the number of mugs, which system of inequalities represents this scenario?
8x + 12y ≥ 800 and x ≥ 60
8x + 12y ≥ 800 and y ≥ 60
8x + 12y > 800 and y > 60
8x + 12y > 800 and x > 60
The inequality that represents the given situation is option A 8x + 12y ≥ 800 and x ≥ 60.
Given,
The cost for one calendar = $8
The cost for one coffee mug = $12
Dominique must sell at least $800 of merchandise and it should include at least 60 coffee mugs.
Here,
x be the number of calendars and y be the number of coffee mugs;
We have to find an inequality which represents the given situation;
So,
The inequality be;
8x + 12y ≥ 800 and x ≥ 60
That is,
The inequality that represents the given situation is option A 8x + 12y ≥ 800 and x ≥ 60.
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ou are working with the penguins dataset. you want to use the summarize() and mean() functions to find the mean value for the variable body mass g. you write the following code: penguins %>% drop na() %>% group by(species) %>% add the code chunk that lets you find the mean value for the variable body mass g.
The mean body mass of the Adelie species is 3706.164 g.
Original chunk of code:
penguins %>%
drop_na() %>%
group_by(species) %>%
The code chunk summarize(mean(body_mass_g)) lets you find the mean value for the variable body_mass_g. The correct code is
penguins %>% drop_na() %>% summarize (mean(body_mass_g)).
The summarize () function displays summary statistics. We can use the summarize() function in combination with other functions - such as mean(), max(), min() - to calculate specific statistics. In this case, you use mean() to calculate the mean value for body mass.
Hence, The mean body mass for the Adelie species is 3706.164 g.
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____ + g − g = k
help
Answer: umm it k
Step-by-step explanation: k+g-g=k
g-g=0
k=k
If a sample of 99 students is taken from a population of 352 students, the population variance, σ2, is the variance of how many students' heights?
A.
Neither 99 nor 352
B.
352
C.
Both 99 and 352
D.
99
Answer:
If a sample of 99 students is taken from a population of 352 students, the population variance, σ2, is the variance of the entire population, which includes all 352 students. Therefore, the answer is (B) 352.
It's worth noting that the sample of 99 students could be used to estimate the population variance if certain assumptions are met and appropriate statistical methods are used. However, the question specifically asks for the population variance, which refers to the variance of the entire population, not just the sample.
Answer:
If a sample of 99 students is taken from a population of 352 students, the population variance, σ2, is the variance of the heights of all 352 students in the population.
Therefore, the answer is B. 352.
A college student realized that he was spending too much money on video games. For the remaining 5 months of the year his goal is to spend a mean of $60 a month towards video games. How much can he spend in December, taking into consideration that in the other 4 months he spent $50, $40, $60, and $85, respectively? Round your answer to two decimal places, if necessary.
In 5th month he spend $ 65.
What is Arithmetic Mean?The arithmetic mean can be calculated as one approach. Divide the total by the total number of values after adding up all the values.
For example, if there are a set of “n” numbers, add the numbers together for example: a + b + c + d and so on. Then divide the sum by “n”.
Given:
$50, $40, $60, and $85
let in 5th month he spends $x.
\(%2870%2B25%2B60%2B30%2Bx%29%2F5=50\)(50 + 40 +60+ 85 + x)/ 5= 60
235+ x = 300
x= 300- 235
x= 65
Hence, In 5th month he spend $ 65.
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7 over 10. And 1 over 4 write your answer in simplest form
Answer:
19/20
Step-by-step explanation:
Make the denominators of 7/10 and 1/4 the same => 14/20 + 5/20 = 19/20
solve this equation
3/5x-2=2/3x-1
The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.
What is the solution to the given equation?Given the equation in the question;
3 / 5x-2 = 2 / 3x-1
To solve for x, cross multiply the equation
3 / 5x-2 = 2 / 3x-1
3( 3x - 1 ) = 2( 5x - 2 )
Apply distributive property
3( 3x - 1 ) = 2( 5x - 2 )
3×3x + 3×-1 = 2×5x + 2×-2
9x - 3 = 10x - 4
Subtract 10x from both sides
9x - 10x - 3 = 10x - 10x - 4
9x - 10x - 3 = - 4
Add 3 to both sides
9x - 10x - 3 + 3 = - 4 + 3
9x - 10x = - 4 + 3
-x = -1
Divide both sides by -1
-x/-1 = -1/-1
x = 1
Therefore, the value of x is 1.
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How does knowing the x-intercepts and the vertex of a
function help you graph a quadratic function?
A graph of a quadratic function is a parabola, making an equation of a parabola with help of an x-intercept and vertex can be formed.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
With the help of the vertex and the x-intercept, the equation of the parabola can be formed which helps to graph a quadratic function because the equation of the parabola resembles the quadratic function,
Thus, a graph of a quadratic function is a parabola, making an equation of a parabola with help of an x-intercept and vertex can be formed.
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HELPP!!!
The area of the figure is ____ square units.
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
ABC is a right angle triangle BC=7.9 AC=23.1 Calculate the size of BAC
The size of angle BAC is approximately 19.88 degrees where ABC is a right angle triangle.
What is a triangle?A triangle is a polygon with three sides and three angles. It is a simple closed shape, and one of the basic shapes in geometry.
According to question:To calculate the size of angle BAC, we can use the trigonometric ratio of the opposite side to the hypotenuse, which is sine:
sin(BAC) = opposite/hypotenuse
sin(BAC) = BC/AC
sin(BAC) = 7.9/23.1
Now, we can use a calculator to find the inverse sine of this value:
BAC = sin^(-1)(7.9/23.1)
BAC ≈ 19.88 degrees
Therefore, the size of angle BAC is approximately 19.88 degrees.
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The complete question is ABC is a right angle triangle BC=7.9, AC=23.1 and right angle at B. Calculate the size of BAC.
help me please
dont even need a full explanation
2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
SHOW YOUR WORK
5/8 times ? equals 5/2 or 2 1/2
what are the solutions to the quadratic equation X squared -10 X equals -34
Answer:
x = 5+3i, x = 5-3i
Step-by-step explanation:
x^2-10x=-34
Add 34 to both sides:
x^2-10x+34 = -34+34
Simplify:
x^2-10x+34=0
Use the quadratic formula using both (+/- after the first -10):
x = \(\frac{-(-10)+\sqrt{(-10)^2 -4*1*34} }{2*1}\)
Simplify:
x = 5 + 3i
x = 5 - 3i
The floor of Aisha’s rectangular bedroom has an area of 144 feet squared. Which are possible dimensions of her bedroom? Select three options. 14.4 ft by 10 ft 6 ft by 12 ft 8 ft by 9 ft 8 ft by 18 ft 9 ft by 16 ft
Answer: The correct options are
14.4 ft. by 10 ft.
8 ft. by 18 ft.
and 9 ft. by 16 ft.
I think.
Answer:
A. 14.4 ft by 10 ft
D. 8 ft by 18 ft
E. 9 ft by 16 ft
Step-by-step explanation:
I hope this helped
a recipe for bread requires 2 2/3 cups of white flour and 1 1/2 cups of whole wheat flour. The recipe yields 3 loaves of bread. how many cups of flour are in each loaf of bread? show your work or explain you answer.
In the given case, each loaf of bread contains 25/18 cups of flour.
To find how many cups of flour are in each loaf of bread, we need to divide the total amount of flour by the number of loaves.
First, let's convert the mixed numbers to improper fractions:
\(2 2/3 cups = 8/3 cups\)
\(1 1/2 cups = 3/2 cups\)
Next, we can add the two fractions to find the total amount of flour:
8/3 cups + 3/2 cups = (16/6 + 9/6) cups = 25/6 cups
So, the recipe requires 25/6 cups of flour to make 3 loaves of bread.
To find the amount of flour in each loaf, we divide 25/6 cups by 3:
(25/6 cups) / 3 = 25/18 cups
Therefore, each loaf of bread contains 25/18 cups of flour.
Alternatively, we could simplify the mixed numbers at the beginning:
2 2/3 cups = 8/3 cups
1 1/2 cups = 6/4 cups
Then we can add the fractions:
8/3 cups + 6/4 cups = (32/12 + 18/12) cups = 50/12 cups
Finally, we can divide by 3 to find the amount of flour in each loaf:
(50/12 cups) / 3 = 25/18 cups
So the answer is the same.
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Y=-4x-2 and intersects at the points (4,-1)
Answer:
It doesn't intersect at that point
\({ \bf{y = - 4x - 2}} \\ y = - (4 \times 4) - 2 \\ y = - 18\)
Answer: N/A
Step-by-step explanation:
The line y = -4x - 2 does not go through the point (4, -1); it only passes through the point (4, -4(4) - 2) = (4, -18)
900 students attend Ridge wood Junior High School. 25% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday
Answer:
225 students
Step-by-step explanation:
Total number of students = 900 students
percent that bring lunch to school everyday = 25%
Number of student that bring lunch to school = 25% of 900
Number of student that bring lunch to school = 0.25 * 900
Number of student that bring lunch to school = 225
Hence 225 students bring lunch to school everyday
Under Todd’s new cable television plan, his bill averages $63 per month. This is 140% of his average monthly bill last year when he had the basic cable package. What was his average monthly cable bill last year?
Answer:
45
Step-by-step explanation:
translation :
140% of x = $63
x = $63 ÷ 1.4
x = $45
FUN FACTS :
interesting: 100% means double that number or times 2
if a price is $20 & it increases 100% in price that means its $20 times 2 or $40
percent means per 100
cent means 100 in latin
that's why the decimal moves 2 spaces
for the 2 zeros in 100
chatgpt
Question in the pic, please explain your answer
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
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can you guys help me pls NO LINKS
what is the median of numbers 20,35,28,15,22,36,26
The median of the given data set is 26.
What is the median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
Given the data set, we need to find the median.
So, let's arrange the numbers from smallest to largest in order to find the median.
\(\sf 15,20,22,26,28,35,36.\)
\(\text{Median}=\sf 26\)
Therefore, the median of the data set is 26.
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If and is in , find cos
Answer:
9/41
Step-by-step explanation:
Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side) which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.
1.
Which transformation takes shape Sonto shape M?
Kinetic energy is described as. The answers are elastic. movement. Decreasing energy. Stored energy.
Answer:
c
Step-by-step explanation:
Rationalise the following:
(Root3-1) / (root3+1)
Answer:
\(2-\sqrt{3}\)
Step-by-step explanation:
\(\begin{aligned}\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\times \dfrac{\sqrt{3}-1}{\sqrt{3}-1} &=\dfrac{(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}\\\\ & =\dfrac{\sqrt{3}\sqrt{3}-\sqrt{3}-\sqrt{3}+1}{\sqrt{3}\sqrt{3}-\sqrt{3}+\sqrt{3}-1}\\\\ & =\dfrac{4-2\sqrt{3}}{2}\\\\ & = 2-\sqrt{3}\end{aligned}\)