Hello!
Answer:
angle 1 = 100
angle 2 = 80
angle 4 = 105
angle 6 = 100
angle 7 = 105
angle 8 = 75
angle 9 = 100
angle 10 = 80
angle 11 = 75
angle 12 = 105
angle 13 = 80
angle 14 = 100
angle 15 = 105
angle 16 = 75
Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony's coins in ascending order of value.
Tony's coins in ascending order of value will be 5p, 10p, and 15p.
Definition of in Ascending order
Arranged in a series that begins with the smallest or least and ends with the largest or greatest The children were lined up in ascending order of height. Test score are listed in ascending order from lowest to highest.
How do depict the information?
Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.
In this case, 5p + 10p + 15p = 30p
10p + 15p + 15p = 40p
5p + 5p + 10p + 15p + 15p = 50p
Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.
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The equation of a parabola is y=2x^2 +8x +3
Write the equation in vertex form and show your work.
Answer: y = 2(x + 2)² - 5
Step-by-step explanation:
We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.
Given:
y = 2x² + 8x + 3
Factor the 2 out of the first two terms:
y = 2(x² + 4x) + 3
Add and subtract \(\frac{b}{2} ^2\):
y = 2(x² + 4x + 4 - 4) + 3
Distribute the 2 into -4 and combine with the 3:
y = 2(x² + 4x + 4) - 5
Factor (x² + 4x + 4):
y = 2(x + 2)² - 5
James completed 18 math problems. This is 30% of the problems he has to do. How many total math problems must he complete to be done?
Answer:
60 = n
Step-by-step explanation:
This problem can be rewritten as:
18 is 30% of what?
% means "out of 100" and of means "multiply"
18 = 30/100 ⋅ n
100/30 ⋅ 18 = 100/30 ⋅30/100 ⋅ n
1800/30 = 100/30 ⋅ 30/100 ⋅ n (both the 30/100 and 100/30 are crossed out here)
60 = n
Ryan must do a total of 60 problems
Having done 18 problems already he has 42 remaining.
Answer:
to many
Step-by-step explanation:
find x given the function f(x)=4x-7 where f(x)=9
Answer:
4
Step-by-step explanation:
You set f(x) = 9 and solve from there.
9 = 4x - 7
+7 +7
16 = 4x
/4 /4
x = 4
Answer:
The answer is 4
Step-by-step explanation:
f(x)=4x-7
f(x)=9
9=4x-7
9+7=4x-7+7
(the -7 and the +7 cancel out, and remember: whatever you do the one side you have to do to the other)
16=4x
(divide by 4 to isolate x and do the same to the other side of the equation so you get the answer)
so, x=4
8) Imani spent half of her weekly allowance
playing mini-golf. To earn more money her
parents let her wash the car for $4. What is
her weekly allowance if she ended with
$12?
how would i solve this in a two step equation? pls and thanks
Answer:
See below.
Step-by-step explanation:
We can represent Imani's weekly allowance with the variable a. The equation you can write is:
1/2a+4=12
2(1/2a+4)=2(12)
a+8=24
a=16
The Imani's weekly allowance value is $16.
To solve this problem using a two-step equation, follow these steps:
Step 1: Let's represent Imani's weekly allowance with the variable "x."
Step 2: We know that Imani spent half of her allowance playing mini-golf, so the amount she spent is (1/2) × x. Additionally, she earned $4 by washing the car. Therefore, the equation becomes:
x - (1/2) × x + 4 = 12
To solve this equation, we need to combine like terms and isolate the variable "x":
(1/2) ×x = 12 - 4
(1/2) × x = 8
Next multiply both sides of the equation by 2 to eliminate the fraction:
2 × ((1/2) × x) = 2 × 8
x = 16
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Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
?
Answer:
9ft
Step-by-step explanation:
14 ft (top) - 5ft (bottom) = missing side (which is 9ft)
Answer:
9ft
Step-by-step explanation:
suppose that the side of 7ft was dragged to the right till it meets the side of 4ft
and the unknown side was dragged downwards till it meets the side of 5ft
Then, also considering that all angles are right angles, this structure becomes a square.
So the answer is 14ft - 5ft = 9ft
Given the regression equation y-hat = 15.6 - 3.8x, the predicted y for x = 3 is ___________.
Work Shown:
y = 15.6 - 3.8x
y = 15.6 - 3.8*3
y = 4.2
Solve for x:
5x - 3y = 22
10x - 4y = 46
Answer:
x=5, y=1
Step-by-step explanation:
Isolate x for 5x-3y=22
5x-3y=22
Add 3y to both sides
5x-3y+3y=22+3y
Simplify
5x=22+3y
Divide both sides by 5
5x/5=22/5+3y/5
Simplify
x=22+3y/5
Substitute x=22+3y/5
10*22+3y/5-4y=46
Simplify 10*22+3y/5-4y
10*22+3y/5=2(3y+22)
=2(3y+22)-4y
Expand 2(3y+22)
=6y+44-4y
Simplify 6y+44-4y
=2y+44
Isolate y for 2y+44=46
2y+44=46
Subtract 44 from both sides:
2y+44-44=46-44
Simplify
2y=2
Divide both sides by 2;
2y/2=2/2
Simplify;
y=1
For x=22+3*1/5 substitute y=1
y=22+3*1/5
22+3*1=25
=25/5
Divide the numbers;25/5=5
=5
x=5
The solutions to the system of equations are;
x=5, y=1
A car driver takes a trip from his house across the country. After two days he has traveled 80
miles. Fill out the table below to show the relationship between days, x, and miles traveled, y.
Miles, y
Days, x
1
2
3
6
8
3.6.4Practice:Modeling: Linear, Quadratic, and Exponential Functions Practice
Algebra I Sem 2
HAS ANYONE DONE THIS ASSIGNMENT??? I NEED HELP QUICKLY
Answer:
you have not gave the answer
Step-by-step explanation:
Write two polynomials whose sum is x^3-x-7
I dont get it yall help
Answer:
x = -2
Step-by-step explanation:
3x-1 = 8(x+1)+1
3x-1 = 8x+8+1
3x-1 = 8x+9
-3x -3x
-1 = 5x+9
-9 -9
-10 = 5x
/5 /5
-2 = x
Answer:
x= -2
Step-by-step explanation:
3x-1= 8(x+1) + 1
3x- 1 = 8x+ 8 + 1
3x- 1 = 8x+ 9
-1= 8x-3x+9
-1-9= 5x
-10= 5x
-10/5 = x
-2= x
If you flip a coin three times in the air, what is the probability that tails lands up all three times? A. 1/2 B. 1/8 C. 1/4 D. 1/6
Answer: A) 1/2
Step-by-step explanation:
Answer:
If you flip a coin three times in the air, what is the probability that tails lands up all three times?
Step-by-step explanation:
1/2
Match each algebraic expression to the correct simplified expression.
x
X
10n- 3m
(11n - 3m) - n
X
8x + 5y
3m - (3n + 10m)
3x - 7y - (-2x) - Y
-7m - 31
[10y - (-9x)] - (5y + x)
X
5x - 8y
Plss help
Answer:
!
Step-by-step explanation:
Find the value or measure. Round answers to the nearest tenth, as needed.
Answer:
26
Step-by-step explanation:
Solve 9x-1 = 41-5x
9x-1 = 41-5x
+1 +1
9x = 42-5x
+5x +5x
14x = 42
/14 /14
x = 3
Plug in X for EF
41-5(3)
41-15
=26
Complete the table. In the row with X as the input write the rule as an algebraic expression for the output then complete the last row of the table using the rule. Express the values in your answers as decimals
The last two rows of the table should be completed as follows:
Input Output
8 22.80
10 28.50
What is algebraic expression?An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.
The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.
To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.
Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.
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I need help with this plz
Answer:
(-40 -2i)
Step-by-step explanation:
-10i + -40 + 8i
Combine like terms
-40 + -10i + 8i
-40 -2i
What are the 3 types of equality?
Equality is a fundamental component of a just and equitable society. It encompasses legal, social, and economic aspects, all of which are essential to ensure that all citizens are treated fairly and have access to the same rights and opportunities.
The 3 types of equalityLegal Equality: This type of equality is based on the laws and regulations of a society, which are designed to protect the rights of all citizens regardless of their gender, race, religion, or other characteristics.Social Equality: This type of equality focuses on the outcomes of a society in terms of how the members are treated. It looks at the quality of life, access to education, and economic opportunity for all citizens.Economic Equality: This type of equality looks at the distribution of wealth within a society. It examines how income and wealth are shared among various groups, and how this affects their ability to access resources and opportunities.Learn more about equality: https://brainly.com/question/9873909
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Help please! 30 points!
The least common denominator is 4x^2.
Answer:
Step-by-step explanation:
the least common denominator is 4 x^2
(x+1)/4x
3(x+1)/2x^2
To find the common denominator, find the prime factors of each denominator
4x =2*2*x
2x^2 = 2*x*x
We need to take the greatest number of each term
2: We have two 2's in the first term and one 2 in the second term so we will take two 2's
x: we have one x in the first term and two x's in the second term so we take two x's
common denominator; 2*2*x*x
4x^2
1 2) Simplify x^-6 * x^2
hello
to solve this question, we can simply use laws of indicies on it
\(a^m\times a^n=a^{m+n}\)so going by that, we can use this template to solve our problem
\(x^{-6}\times x^2=x^{-6+2}=x^{-4}=\frac{1}{x^4}\)from the calculation above, the answer to this question is 1 / x^4 and this corresponds to option D
Between Method A (MAD of 1.4) and Method B (MAD of 1.8) which forecasting method performed the best?
Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.
To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.
A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.
Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.
Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.
Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy.
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The test scores for the students in Mr. Miller’s math class are shown here.
52, 61, 69, 76, 82, 84, 85, 90, 94
What is the range of the test scores?
The range of the test scores in Mr. Miller's math class is 42.
What is the range?Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.
The range is computed by subtraction of the lowest value from the highest value.
Mr. Miller can use the range to measure the spread or dispersion of the test scores.
Test Scores:
52, 61, 69, 76, 82, 84, 85, 90, 94
Highest score = 94
Lowest score = 52
Range = 42 (94 - 52)
Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.
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A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled. Which statement correctly explains how to find the distance traveled after 150 hops?
Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
Step-by-step explanation:
A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?
Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.
Solution:
The table is:
No. of hops Distance traveled
20 30
50 75
80 120
150 ?
From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet
Find the slope of the line:
m = (y2-y1) / (x2-x1)
m=slope of the line
y2-y1 = change in distance travelled
x-2 - x1 = Change in number of hops
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
=45 / 30
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5x
y = 1.5 × 150
y = 225
A, B & C form a triangle where ∠ BAC = 90°. AB = 6 mm and CA = 7.3 mm. Find the length of BC, giving your answer rounded to 1 DP.
Answer:
BC ≈ 9.5 mm
Step-by-step explanation:
Since, ΔBAC is a right angle triangle,
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
BC² = AB² + AC²
BC² = 6² + (7.3)²
BC = \(\sqrt{89.29}\)
BC =
BC = 9.445
BC ≈ 9.5 mm
Adam purchased some items at the school store. He bought 3 pencils for $0.15 each and 5 single- subject notebooks. If these items cost a total of $6.45, what was the cost of the notebook?
Answer:
$1.20
Step-by-step explanation:
Solve 3x - 7 = 32
Plssss helpp
Answer:
x=13
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
Brainly plss
Answer:
x=13
Step-by-step explanation:
Consider the equation below.
x²
Determine which equation has the same solutions as the given equation.
O A. (2 - 5)² = 36
O B.
(2 - 5)² = 21
O c.
(z 10)2 = 36
OD. (210)2 = 21
-
-
10x110
By completing the square we can see that the correct option is A:
(x - 5)² = 36
Which equation has the same solutions?To get this, we need to complete squares.
Rememeber the perfect square trinomial:
(a + b)² = a² + b² + 2ab
The given quadratic equation is:
x² -10x -11 = 0
We can rewrite that as:
x² - 2*5*x - 11 = 0
Now we can add and subtract 5² = 25 in both sides, then we will get:
(x² - 2*5*x + 5²) - 11 = 5²
(x - 5)² - 11 = 25
(x - 5)² = 25 + 11 = 36
(x - 5)² = 36
The correct option is A.
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The cost $2.171717 written as a fraction
Answer:
2 171717/100000
Rearrange this formula Α= πr2 for the area of a circle to solve for r in-terms of A.
What is the new formula?
Answer:
sqrt( A / pi ) =r
Step-by-step explanation:
Α= pi r^2
Divide each side by pi
A / pi = r^2
Take the square root of each side
sqrt( A / pi ) = sqrt(r^2)
sqrt( A / pi ) =r
Answer: A/2pi = r
all you have to do is single out the r to get the new equation
Disregarding sales tax, how much will you save when
you buy a $12.00 video that is on sale for 20% off?
Answer:
$2.40
Step-by-step explanation:
$12.00÷100=0.12x20=2.4
hope this helps, have a good day.