Answer:
e = 12======================
The two given angles form a linear pair.
Sum of the two angles is 180°, set equation and solve for e:
8e - 6 + 7e + 6 = 18015e = 180e = 180/15e = 12If 3x +2y =24 what is the value of
6x +4y
————
3
Answer:
16 is correct Answer. Please mark me as brainlist answer.
a = h/b, solve the formula for b
a = h/b
x b, both sides
ab = h
÷a
b = h/a
B = h/a
Hope this helps!
Answer: b = h/a
Step-by-step explanation: What you need to do is to get b by itself and to do that you have to move b to the other side because it's being divided by b. To do that you multiply by b on both sides.
1) ab = h
Now, isolate b by dividing a into both sides.
2) b = h/a
Now, you have b alone you know what b is equal to.
What is the value of x − 8 if x = −21?
−29
−13
13
29
Answer: 29
Step-by-step explanation:
-21 - 8 = 29
The reason why it's a positive instead of a negative is because when you have an even number of positives in an equation the answer will always be positive and vice versa.
Carlos is on a hike. He starts at 21 meters above sea level. He
stops at 6 meters below sea level. What is the difference in
elevation from when he started the hike to when he stopped?
Answer:
difference of 27 m
Step-by-step explanation:
starts at 21m and ends at -6m
21+x=-6
(rearrange so the X is by itself)
21+6=x x=27
Solve the equation x+ 4x-7 = 0 by completing the square. give your answers correct to 2 decimal places.
[tex] {x}^{2} + 4x - 7 = 0 \\ → {x}^{2} + 4x = 7[/tex]
Add the square of the half of the coefficient of the unknown(x) to both sides of the equation.
[tex] {x}^{2} + 4x + ( \frac{4}{2} {)}^{2} = 7 + ( \frac{4}{2} {)}^{2}[/tex]
[tex] {x}^{2} + 4x + (2 {)}^{2} = 7 + (2 {)}^{2} [/tex]
[tex] {x}^{2} + 4x + (2 {)}^{2} = 7 + 4[/tex]
Bring out x and 2 and square them as shown below:
[tex](x + 2 {)}^{2} = 11[/tex]
Now, square root both sides of the equation to find the value of x as shown below:
[tex] \sqrt{(x + 2 {)}^{2} } = \sqrt{11} [/tex]
Add a + or - sign since it is a quadratic equation
[tex]x + 2 = \binom{ + }{ - } \sqrt{11} [/tex]
[tex]x + 2 = \binom{ + }{ - } 3.3166[/tex]
[tex]x = - 2 + 3.166 [/tex] or
[tex]x = - 2 - 3.166[/tex]
Therefore:
[tex]x = 1.17[/tex] or
[tex]x = - 5.17[/tex]
to two decimal places.
Solve the problem and explain the process.
Answer:
2x + 2 + h.
Step-by-step explanation:
F(x+h) is f(x) where x+h replaces x:-
f(x + h) = (x + h)^2 + 2(x + h) - 3
[f(x+h) - f(x)] / h
= (x + h)^2 + 2(x + h) - 3 - (x^2 + 2x - 3) / h
= [x^2 + 2hx + h^2 + 2x + 2h - 3 - x^2 - 2x + 3] / h
= (2hx + h^2 + 2h) / h
= 2x + 2 + h
The limit of [f(x+h) - f(x)] / h as h ----> 0 is 2x + 2.
We refer to 2x + 2 as the derivative of x^2 + 2x - 3.
find the quotient 37/7
Answer:
5
Step-by-step explanation:
quotient = divide.
37 / 7 = 5
An architect makes a scale model of a new sports hall, the model is measured 15cm(l),11.5 (w), 2.5cm (h). if the height of the hall is to be 7.5m, what is the scale being used
Scale being used = 1 : 300
It is given that the model measured the height as 2.5cm.
The height of the hall = 7.5 m = 750 cm
By using the formula
Scale to be used = size down/ Actual size
= 2.5/ 750
= 1/300
= 1 : 300
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In the diagram below of triangle OPQ, R is the midpoint of OQ and S is the
midpoint of PQ. If RS = -3x + 38, and OP = 4x - 14, what is the measure of
RS?
Step-by-step explanation:
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Step-by-step explanation:
i dont understand the answer noksf okay
Please help asap
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Solve five sixths times c minus 1 equals 1 plus five sixths times c.
Infinite solutions
No solution
c equals five sixths
c equals twelve tenths
Answer:
No solution!
Step-by-step explanation:
I just took the quiz and got 100%
Determine if 0.18750.1875 is rational or irrational and give a reason for your answer. is it or not??
The number 0.1875 is a Rational number.
What is Rational number?
If a number can be expressed as a fraction of two integers then its called Rational number.
Given that;
The number = 0.1875
Now, Determine if it is rational or not we can convert it into fraction as;
0.1875 = 1875/10000
Divide numerator and denominator by 25,
= 75/400
Again, Divide numerator and denominator by 25,
= 3/16
Clearly, The above is a rational number because it can be expressed as a fraction of two integers.
So, The number 0.1875 is a Rational number.
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Five more than twice a number is equal to 3 more than triple a number. Write the equation and solve.
Answer:
Equation: 5 + 2x = 3x + 3 ; Answer: x = 2
Step-by-step explanation:
Try and re-reading the question until you truly grasp the concept of it or write an equation by reading each word and making sure the operations are suitable according to the text. Then, finally, simply just solve.
Hope this helps! :D
in the dominican republic in august, the distribution of daily high temperature is approximately normal with mean 86 degrees fahrenheit (°f). approximately 95% of all daily high temperatures are between 83°f and 89°f. what is the standard deviation of the distribution? 1°f 1 degree fahrenheit 1.5°f 1.5 degrees fahrenheit 2°f 2 degrees fahrenheit 3°f 3 degrees fahrenheit 6°f
The standard deviation of the distribution = 1.5°F
Given that the distribution of daily high temperature is approximately normal.
Population mean, [tex]\mu[/tex] = 86°F
Also approximately 95% of all daily high temperatures are between 83°F and 89°F.
So here [tex]X_1[/tex] = 83°F and [tex]X_2[/tex] = 89°F
We have the z - statistic ,
[tex]z=\frac{x-\mu}{\sigma}[/tex]
where [tex]\sigma[/tex] is the Standard deviation.
For 95% probability, the z-value for normal distribution is 1.96.
As we consider the positive z-value, take X = [tex]X_2[/tex] = 89°F
So, [tex]z=\frac{x-\mu}{\sigma}[/tex]
⇒ [tex]\sigma = \frac{x-\mu}{z} = \frac{89-86}{1.96} =1.53[/tex] ≈ 1.5°F
So the standard deviation of the distribution = 1.5°F
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help pleaseeeeeee :(((
Answer: are there any options?
Step-by-step explanation:
EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
What is the result of solving this equation for t ?
Mt – 5ab = nRT
explain!!
The required equation would be t = (nRT + 5ab)/M which is the result of the equation for t.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given as
Mt - 5ab = nRT
We have to determine the result of solving this equation for t
⇒ Mt - 5ab = nRT
⇒ Mt = nRT + 5ab
⇒ t = (nRT + 5ab)/M
Therefore, the required equation would be t = (nRT + 5ab)/M which is the result of the equation for t.
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ridden a bike course that is 40 miles long. so far he has ridden 28 miles of the course. what percentage of the course has he ridden so far
So far, he has ridden 70% of the bike course.
Percentage, which was adapted from the Latin word "per centum", which means "by the hundred", is a fraction or a ratio in which the value of whole is always 100. It is represented by the symbol "%".
The formula to get the percentage is:
Percentage = (Value / Total Value) × 100
If the total value of the bike course is 40 miles and the value which the percentage we are looking for is 28 miles, evaluating the equation:
Percentage = (Value / Total Value) × 100
Percentage = (28 / 40) × 100
Percentage = (0.7) × 100
Percentage = 70
Therefore, he has ridden 70% of the bike course so far.
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bill and jerry start at the same point. bill walks due west and jerry walks due east for 6 meters. they turn right and walk 3 more meters. who is closer to the north pole?
Nearer to the north pole is Bill.
The path that an object moves along is referred to as its direction. A feature's direction can alternatively be defined as its location in relation to another feature's position.
The four cardinal directions—north, south, east, and west—are often known by their first letters: N, S, E, and W. These directions are the four major points of a compass.
The cardinal points are another name for these four directions.
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Total number of possible equal parts in a fraction (a) denominator (b) numerator (c) mixed number (d) divisor?
Denominator: The value in a fraction that appears below the fractional bar and indicates the total number of equal parts.
In a fraction, the value that appears above the horizontal line is referred to as the numerator. It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the vinculum.
A mixed number is a representation of both a whole number and a legal fraction. In most cases, it denotes a number that falls between any two whole numbers.
An integer that totally or partially divides another integer is known as a divisor.
In a division equation, a divisor is represented by the formula
Dividend ÷ Divisor = Quotient.
The correct option is (a).
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3) Which TWO expressions will have a POSITIVE product?
a) -9x7x4
b) -4 x (-3) x 2
c) -5 x (-12) × (-1)
d) -1 x 1 x (-1)
e) 5x0x (-5)
Answer: B and D
Step-by-step explanation:
B.) -4 x (-3) x 2
-4 x (-3) = 12 x 2 = 24
D. -1 x 1 x (-1)
-1 x 1 = -1 x (-1) = 1
Determine which integer in the solution set will make the equation true.
2s − 10 = −12
S: {−1, 0, 1, 2}
−1
0
1
2
Answer:
- 1 makes the equation true
Step-by-step explanation:
2s - 10 = - 12 ( isolate the term in s by adding 10 to both sides )
2s = - 2 ( divide both sides by 2 )
s = - 1
The integer ion in the solution set will make the equation true is -1. The correct option is a.
What are integers?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Given equation is
2s - 10 = - 12 ( isolate the term in s by adding 10 to both sides )
2s = - 2 ( divide both sides by 2 )
s = - 1
Therefore, the correct option is a, −1.
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angle A and angle B are vertical angles. If m angle A=(2x+20)^ and m angle B=(3x+1)^ then find the value of x.
If angle A and angle B are vertical angles. If m angle A=(2x+20)^ and m angle B=(3x+1)^ then x has a value of 19.
What is the Vertical Angles Theorem?
The Vertical Angles Theorem states that if two lines intersect, then the vertical angles formed by the intersecting lines are congruent.
Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent. Vertical angles are always congruent angles,
By the Vertical Angles Theorem, we know that angle A is congruent to angle B.
Therefore, we can set their angle measures equal to each other and solve for x:
2x + 20 = 3x + 1
Subtract 2x from both sides:
20 = x + 1
Subtract 1 from both sides:
19 = x
Hence, x has a value of 19.
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Triangle UML has coordinates U (-3, -4), M(-1, -1) , and L(-2, -5). If the triangle is translated 5 units up and 1 unit left to form triangle U’M’L’, what will be the coordinates of L’?
After the translation the coordinates of L' are (-3, 0) for the new triangle of U’M’L’.
What is defined as the translation?In geometry, translation refers to a function which moves an object a specified distance. The object is not elsewhere altered. It is not rotated, mirrored, or resized.Every location of the object should be moved within the same direction for the same distance during a translation.When performing a translation, this same initial object is referred to as the pre-image, and also the object just after translation is referred to as the image.The coordinates of triangle are-
U (-3, -4), M(-1, -1) , and L(-2, -5).
The triangle is translated 5 units up and 1 unit left to its original place.
Thus, for the 5 units up translation 5 units will get added to the y-coordinates.
New y-coordinate of L' is -5 + 5 = 0.
For 1 unit left , 1 units will get reduced from the original x-coordinate.
New x-coordinate = -2 - 1 = -3
Thus, the new coordinates L' becomes (-3, 0).
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Out of a bag of marbles, the theoretical probability of selecting purple is 2/3. If 120 marbles are in the bag, then how many are purple
Answer:
80
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{120}[/tex] To get 120 we needed to multiply 3 by 40, so we will multiple 2 by 40 to get 80.
The cost to rent a boat is $25 per hour plus a non-refundable $30 deposit
A. write an expression to rent a boat for h hours
B. Evaluate the expression for h=2
Answer:
A. 25h+30=80
B.25(2)+30=80
Solve the system of equations : 5x - 2y = -1 and -15x + 6y = 3
Answer as an ordered pair:
Step-by-step explanation:
23+35
37+83=4733
24783+3747
From midnight to 7:00 am, the temperature dropped 0.8°C
temperature at 7:00 am was 4.4 deg * C what was the temperature at midnight?
Answer:
5.2
Step-by-step explanation:
add back 0.8 from 7 am temp which is 4.4 degrees.
Answer:
5.2 °C
Step-by-step explanation:
4.4°C + 0.8°C = 5.2°C
5x-5=9x+3 Solve for x
Answer:
x = -2
Step-by-step explanation:
5x - 5 = 9x + 3
- 5 = 4x + 3
- 8 = 4x
- 8/4 = 4x/4
x = -2
A 5-foot board is cut into 4 equal pieces. Which equation shows how to find the length of each piece?
I will Award A Brainlist Hello please Help its a Math Problem !!!
Thank you so much ! for your time.
Answer:
12.8 i don't know oof
Step-by-step explanation:
8.2 + 4.6 is 12.8, but I'm not completely sure it's the right answer.
Please Help due tonight.
Answer:
D. -3b + 5 divided by -3
Step-by-step explanation:
I'm not too sure but i think its this because when you divide by a negative number you have to flip the sign and since you are solving for x you will minus the b term on both sides. But im not too sure keep thinking about it