Answer:
see below
Step-by-step explanation:
RATE is 560 mi / 8hr = 70 mi/hr
Rate * time = distance
then
time = distance / Rate = 200 mi / 70 mi/hr = 2.857 hr ( or 2 hr 51 min)
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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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
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
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
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
1-16 please help!!!!!!!!!!!!!!
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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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.
If 3x +2y =24 what is the value of
6x +4y
————
3
Answer:
16 is correct Answer. Please mark me as brainlist answer.
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.
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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A 5-foot board is cut into 4 equal pieces. Which equation shows how to find the length of each piece?
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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In what situation would a geometric model be better than a binomial model
Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).
The not common definition of the Geometric distribution is the variety of trials till the primary achievement.. The following is an instance for the distinction among the Binomial and Geometric distributions: If a own circle of relatives comes to a decision to have five youngsters, then the variety of girls (successes) within side the own circle of relatives has a binomial distribution. If the own circle of relatives comes to a decision to have youngsters till they have got the primary lady after which stop, the the variety of youngsters within side the own circle of relatives has a Geometric distribution . A variant at the Geometric distribution is counting the variety of failures till the primary achievement, after which the variety may be 0,1,2,... In the instance it might be counting the variety of boys within side the own circle of relatives earlier than the primary lady turned into born, and now no longer the entire variety of youngsters. The distinction among the 2 versions is usually 1.
Therefore, Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).
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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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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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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.
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
what is the measure of angle B if angle C is 34 degrees and angle A is unknown?
please help
The measure of the angle B is equal to 56°.
What is the measure of the missing angle of the a right triangle?
A right triangle is a triangle, of which one of the three angles is a right angle. In accordance with Euclidean geometry, the sum of the measures of the internal angle is equal to 180°. Then,
m ∠ A + m ∠ B + m ∠ C = 180°
90° + 34° + m ∠ B = 180°
124° + m ∠ B = 180°
m ∠ B = 180° - 124°
m ∠ B = 56°
The measure of the angle B is equal to 56°.
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find the quotient 37/7
Answer:
5
Step-by-step explanation:
quotient = divide.
37 / 7 = 5
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%
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
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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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.
help pleaseeeeeee :(((
Answer: are there any options?
Step-by-step explanation:
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
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
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.
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.
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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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