To solve the question -7 + N = 20, we add 7 to both sides to get N = 27. Among the provided options, the correct answer is N = 27.
Explanation:To solve for N in the equation -7 + N = 20, you should add 7 to both sides of the equation to isolate the variable N on one side. This gives you the equation N = 20 + 7.
The solution is N = 27 as 20 + 7 results in 27. Therefore, the correct answer among the options provided is N = 27.
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simply each expression, use the distributive property to clear parentheses then combine like terms
6(x-2)+5x
Answer:
11x - 12
Step-by-step explanation:
Distributive property, also called the distributive law of multiplication and division, lets us distribute a number by multiplying it to each of the numbers in a term separately.
We can expand this expression by clearing the parentheses and combining the like terms here by applying the distributive property:
6 (x-2) + 5x
6x - 12 + 5x ---> (6 is multiplied to both the terms, x and -2, separately)
Now we will combine like terms to get:
6x + 5x - 12
11x - 12
william walked down a mountain for a total of -200 feet. He traveled this distance for 20 minutes. How far had william traveled in 1 minute?
A. 400 feet
B. 10 feet
C.-10 feet
D.-400 feet
Answer:
-200 feet/20 minutes = -10 feet/minute
The correct answer is C.
I will love you forever if someone can help me with this
Explain how comparing 645 and 738 is different from comparing 645 and 649
When comparing these two sets of number, the first set is harder to find the different as you need to borrow from a column. For instance, when you start subtracting in the 10s place, you cannot take 40 away from 30.
Whereas in the second set, comparing the numbers is easy. They have the same 100s value and the same 10s value. You are simply comparing the 1s place.
Answer:
First, if we compare 645 and 738, the difference is significant, because those number have different units, different tenths and different hundreds.
However, if we compara 645 and 649, the difference isn't significant, because they have the same hundreds, the same tenths, but different units.
So, in terms of comparing numbers as such, we can tell that the difference in each comparison is about units, tenth and hundreds difference.
From this different comparison, the difference operation (subtraction) is also different, because it's not the same to subtract 645 from 738 than from 649, the difference is higher.
WITH ANSWER
What is the exact value of x in the exponential equation 2(10)^3x=26 in log
*****x=log13/3
[tex]2\cdot 10^{3x}=26\\10^{3x}=13\\\log 10^{3x}= \log 13\\3x\log 10= \log 13\\3x= \log 13\\\\[/tex]
[tex]x=\frac{\log 13}{3}[/tex]
lmk if you have questions
To find the exact value of x in the exponential equation 2(10)^3x=26, divide both sides by 2, apply the common logarithm, use the power rule of logarithms, and simplify to find that x equals log(13)/3.
To solve the exponential equation 2(10)³ˣ=26 for the exact value of x using logarithms, follow these steps:
Divide both sides of the equation by 2 to isolate the exponential term:Thus, the exact value of x is log(13)/3.
What’s is your average speed in miles per hour and in feet per second if you travel a mile in 26 minutes?
To calculate the average speed, divide the total distance travelled by the total time taken. The speed is approximately 2.31 mph and 3.385 fps.
Explanation:To calculate the average speed you divide the total distance travelled by the total time taken. In this case, the distance is one mile and the time is 26 minutes.
To get the speed in miles per hour (mph), first convert the time from minutes to hours by dividing the time in minutes by 60. So, 26 minutes is approximately 0.43 hours. Then, divide the distance by the time to get the speed. Therefore, your speed is roughly 2.31 mph.To convert this to feet per second (fps), first convert 1 mile, which is 5280 feet. Then convert the time from 26 minutes to seconds, which is 1560 seconds.So, when you divide distance by time, you get approximately 3.385 fps.
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What is the measure of A
The measure of ∠ A is 50°
What is a triangle?A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees.
Given that a triangle ABC, and angle B and C are 100° and 30° respectively,
According to angles sum property of a triangle, we have,
∠ A + ∠ B + ∠ C = 180°
∠ A = 180° - (100° + 30°)
∠ A = 180° - 130°
∠ A = 50°
Hence, the value of angle A is 50°
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Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown. What is the smallest possible whole number length of the unknown side?
Answer:
24 inches.
Step-by-step explanation:
Two sides of an obtuse triangle measure 10 inches and 15 inches.
The length of the longest side is unknown.
We have to find the smallest possible whole number for length of the unknown side.
Since a triangle is possible only when sum of two sides of the triangle is greater than the third side.
Therefore, length of third side < sum of other two sides
length of third side < 10 + 15
length of third side < 25
Therefore smallest whole number length should be 24 inches.
Squaring a number and subtracting 6 gives the same result as doubling the number and adding 9.
The answer is 5.
5^2 = 25 25 - 6 = 19
5 x 2 = 10 10 + 9 = 19
Which of the following fractions is written in its simplest form
13/25,
any time you see a prime number in the numerator, its in its simplest form.
For this case we have the following fractions:
22/33 42/81 13/25 18/27
Fraction 1: You can divide the numerator and denominator by 11
[tex]\frac{22}{33}= \frac{2}{3}\\[/tex]
Fraction 2: The numerator and denominator can be divided by 3
[tex]\frac{42}{81}= \frac{14}{27}\\[/tex]
Fraction 3: The numerator and denominator can not be divided by the same number.
[tex]\frac{13}{25}\\[/tex]
Fraction 4: The numerator and denominator can be divided by 9
[tex]\frac{18}{27}= \frac{2}{3}\\[/tex]
Answer:
A fraction that is written in its simplest form is
Fraction 3: [tex]\frac{13}{25}\\[/tex]
A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter.
Answer: 55 meters
Step-by-step explanation:
Let the height of the building be 'h'.
Since building is standing vertical to the ground making right angle.
Then , the triangle formed is a right triangle .
The given angle of elevation : [tex]32^{\circ}[/tex]
Using trigonometry , we have
[tex]\tan\theta=\dfrac{\text{Perpendicular}}{\text{Base}}\\\\\tan(32^{\circ})=\dfrac{h}{88}\\\\\Rightarrow\ 0.6248693519=\dfrac{h}{88}\\\\\Rightarrow\ h=0.6248693519\times88=54.988502967\approx55\text{ meters}[/tex]
Hence, the approximate height of the building = 55 meters
What is the product of 3a + 5 and 2a +4a - 2
The product of the expressions 3a + 5 and 6a - 2 is 18a² + 24a - 10. The distributive property is used to multiply each term in the first expression by each term in the second.
The product of the two expressions 3a + 5 and 2a + 4a - 2 can be found using the distributive property. First, combine like terms in the second expression to simplify it to 6a - 2. Now, to find the product, multiply each term in the first expression by each term in the simplified second expression:
Multiply 3a by 6a to get 18a².
Multiply 3a by -2 to get -6a.
Multiply 5 by 6a to get 30a.
Multiply 5 by -2 to get -10.
Combining these products gives you the final answer: 18a² + 24a - 10.
A map of a town has no scale. You know that the distance between the bus stop and the park is 6 miles. On the map it is 3 inches. Also, on the map you know the distance from the park to the house is 8 inches. What is the actual distance in miles between the park and the house?
Answer:
The answer is 16
Select from the drop down menu correctly complete each statement. The opposite of - 3 5/8 is on the ( same or opposite which one is it ) side of zero on a number line as -3 5/8. the opposite of 4 2/9 on the ( same or opposite which one is it) side of zero on a number line as 4 2/9
I believe opposite on both!
you're 495 miles from home and you are driving toward home at an average of 45mph. How long will it take to drive home if you maintain the same speed. (hint: when you reach home, the x-value is zero)
11 hours because I did the math
Answer:
f(x)=45x
Step-by-step explanation:
if the home is 495 miles away, 11 hours would take to drive home.
f(11)=45X11=495
which is the simplified form of (9c^-9)-3
3[3c^(-9)-1]
hope this helps
Answer:
b
Step-by-step explanation:
What is 7.2 times 10 to the 7th power times 14.6 x 10 to the 5th power?
7 x [tex]10^{7}[/tex] times 14.6 x[tex]10^{5}[/tex]
Multiply 7 and 14.6 and add exponents
Final Answer 102.2 and [tex]10^{5}[/tex]
hope that helps :)
7.2 x 10 x 5 x 14.6 x 10 x 5
7.2 x 100000 x 14.6 x 100000
720000 x 1460000 = 1.0512 x 10 x 12
Violin strings are parallel. Viewed from above, a violin bow in two different positions forms two transversals to the violin strings. Find x and y in the diagram.
ANSWER
[tex]x=10[/tex]
and
[tex]y=20[/tex]
EXPLANATION
Since corresponding angles are equal,
[tex]4x+y=60---(1)[/tex]
Alternate angles are also equal, therefore,
[tex]8x+y=100---(2)[/tex]
Equation (2) minus equation (1) gives,
[tex]\Rightarrow 4x=40[/tex]
[tex]\Rightarrow x=10[/tex]
We put [tex]x=10[/tex] in to equation (1)
[tex]4(10)+y=60[/tex]
[tex]y=60-40[/tex]
[tex]y=20[/tex]
To find x and y in the violin string diagram, use the properties of angles formed by transversals and parallel lines. Corresponding angles and interior angles are key relationships. In the example, x = 15° and y = 90°.
The problem involves understanding the relationships between angles formed by transversals and parallel lines. When a violin bow is placed across parallel violin strings, it forms transversals that create various angles.
Given that the violin strings are parallel, the interior angles formed on the same side of the transversal are supplementary. Let's consider the setup of the diagram:
Identify corresponding angles, alternate interior angles, and alternate exterior angles.Use the properties of parallel lines and transversals to set up equations.Solve for the unknowns (x and y).Example: Suppose the violin strings and the bow are positioned in such a way that we can see the angles formed. Assume the given angles are as follows:
Angle 1 = 30° (corresponding angle)Angle 2 = (2x)° (alternate interior angle)Angle 3 = y°Step 1: Since Angle 1 and Angle 2 are corresponding angles and lie between parallel lines:
30° = 2x → 2x = 30° → x = 15°
Step 2: To find y, use the fact that the sum of angles around a point is 360°. Suppose y is opposite to the sum of Angle 1 and another given angle on the same side:
If the other angle on the same side is 60°:
y = 180° - (Angle 1 + 60°) → y = 180° - (30° + 60°) → y = 90°
Thus, the values of x and y are determined to be 15° and 90°, respectively.
how do i prove that measurement of angle abc is equal to measurement of def
How does 15.050 compare to 15.500
15.050 < 15.500
notice that 500 is more than 50... so hope this helps a little bit !!!
:)
Answer:
15.050 < 15.500
Step-by-step explanation:
15.050 compare to 15.500
WE need to compare both the decimal numbers
To compare the numbers we compare each digit from left to right
1 is equal to 1
5 is equal to 5
now we compare the number after the decimal point
0 is less than 5 (the numbers in tenths place)
15.050 is less than 15.500
15.050 < 15.500
ignacio tiene el doble de la edad de eduardo. miguel es 14 años mayor que eduardo. la suma de las tres edades 62 años. ¿cuan es la edad de cada uno?
Answer:
YA BUENO COMENZAEMOS:v
Step-by-step explanation:
I: IGNACIO
M: MIGUEL
E: EDUARDO
I=2E
M-E=14 --- M= 14+E
I+M+E=62
A CONTINUACION HACEMOS SISTEMA DE ECUACION:
M-E=14
M+E=62-I
APLICAMOS SISTEMA DE ECUACIONES (SUMA VERTICALMENTE) Y QUEDA ASI:
2M= 76-I
REEMPLAZAMOS:
2(14+E) = 76-2E
28+2E=76-2E
4E=48
E=12
ENTONCES QUEDA:
E=12
I=24
M=26
At the end of the month mr copley has $1473.61 in is checking account his checkbook showed the following transaction if made made an initial deposit of $75 that is not shown in his checkbook what was his balance at the beginning of the month
To find the balance at the beginning of the month, add the initial deposit and subtract the total transactions from the end of the month balance.
Explanation:To find the balance at the beginning of the month, we need to subtract the total transactions from the end of the month balance. First, we need to find the total transactions by adding up all the transactions in Mr. Copley's checkbook. Then, we subtract the total transactions from the end of the month balance, $1473.61, and add the initial deposit of $75 that is not shown in his checkbook. This will give us the balance at the beginning of the month.
Find the total transactions by adding up all the amounts in Mr. Copley's checkbook.Subtract the total transactions from the end of the month balance, $1473.61.Add the initial deposit of $75 that is not shown in his checkbook.The balance at the beginning of the month is the result of the previous steps.
The figure below is a square pyramid where the height of the pyramid is 2 centimeters and the volume is 24 cubic centimeters. If the volume of a pyramid is v=1/3bh, then what is the length of the base?
A.2cm
B.4cm
C.6cm
D.8cm
Final answer:
The length of the base of the square pyramid is calculated by rearranging the volume formula v = 1/3bh to solve for b, finding the base area, and then taking the square root to find the side length. With the given volume of 24 cm³ and height of 2 cm, the side length of the base is 6 cm. Therefore, the correct answer is C.
Explanation:
The student is asking how to find the length of the base of a square pyramid given its volume and height. The volume of a pyramid is given by the formula v = 1/3bh, where v is the volume, b is the area of the base, and h is the height. Since the pyramid is square, the area of the base (b) is equal to one side of the square base squared. With a volume (v) of 24 cm³ and a height (h) of 2 cm, we can substitute the values into the formula and solve for the base area b.
To find the side length of the base, we take the square root of the base area. Using the provided formula and values, we get:
v = 24 cm³
h = 2 cm
b = (3×v)/h = (3×24 cm³)/2 cm = 36 cm²
The side length of the base (l) is the square root of the base area: l = √b = √36 cm² = 6 cm. Therefore, the correct answer is C. 6 cm.
An edge on a cube is the line segment joining two vertices. What is the sum of the lengths of the edges if each edge measures 12 + 10V6 inches? Write your answer as a radical expression.
Antonio graphs these equations and finds that the lines intersect at a single point, (–5, 0.25). Equation A: Equation B: 4y – 3x = 16 –x – 8y = 3 Which statement is true about the values x = –5 and y = 0.25?
Given equations : Equation A: 4y -3x =16 and
Equation B: -x-8y =3.
We are given a point (-5,0.25) plugging it in first equation
4(0.25) -3(-5) =16
1+15 =16.
16 =16 : Satisfies first equation.
Plugging (-5,0.25) it in second equation.
-(-5)-8(0.25) =3.
5 - 2 = 3.
3=3 : Satisfies first equation.
Therefore, they are the only values that make both equations true.Are angles 1 and 4 linear pair, vertical angles or neither? Thank you! :)
Answer:
it is a linear one i think
The classification of angles 1 and 4 as either linear pairs, vertical angles or neither is impossible without more context or a diagram. Linear pairs are adjacent angles that form a straight line and total 180 degrees, while vertical angles are directly opposite each other from an intersection of two lines and are equal.
Explanation:Without a proper diagram or more context, it's challenging to determine whether angles 1 and 4 are linear pairs, vertical angles, or neither. However, I can explain what these terms mean. Linear pairs are adjacent angles whose non-common sides form a straight line, adding up to 180 degrees. Vertical angles are angles opposite each other when two lines intersect. They are equal in measure. Unfortunately, without a specific diagram indicating the positions of angles 1 and 4, I can't definitively answer your question.
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Help find the measure of b
b= 81 degrees
Explanation:
A straight line is 180 degrees.
180 - 99 = 81
All the angles combined should be equal to 360, forming a circle.
In order to find angle b, we have to know what supplementary angles.
Supplementary angles are two angles that add up to 180°, or in other words, a straight line.
Angle b and the 99 degree angle are supplementary due to them creating a straight line when combined, so they add up to 180°.
To find angle b, subtract 99 degrees from 180.
180 - 99 = 81
Angle b is equal to 81 degrees.
23rd term: -4,-7,-10,-13
How can you tell if a mixture is homogenous or heterogeneous?
A homogeneous mixture has the same uniform appearance and composition throughout. Many homogeneous mixtures are commonly referred to as solutions. A heterogeneous mixture consists of visibly different substances or phases. The three phases or states of matter are gas, liquid, and solid.
Final answer:
A mixture is heterogeneous if it has a non-uniform composition, wherein the individual components can often be seen or separated. A mixture is homogeneous if it is uniform throughout, where the components are evenly distributed and cannot be visually distinguished. Examining the uniformity of the mixture's composition allows for differentiation between the two types.
Explanation:
To tell if a mixture is homogeneous or heterogeneous, one must first understand the definitions of these terms. A heterogeneous mixture has a composition that is not uniform throughout. Examples include trail mix, salad, and blood. These mixtures often allow the individual substances within them to be seen or separated by simple means, such as filtration or inspection.
In contrast, a homogeneous mixture is uniform in composition throughout the sample. Examples include air, simple syrup, and seawater. For instance, when salt is dissolved in water to create a saline solution, it is a homogeneous mixture because the salt is evenly distributed throughout the water and no longer visible as a separate substance.
Distinguishing between these two types of mixtures involves examining the uniformity of the mixture's composition. If different samples of the mixture have different compositions, or if the individual parts can be seen, it is heterogeneous. If it is uniform and the components cannot be visually separated, then it is homogeneous.
Resolving inequalities 6/5x-12<2-3/2x
Answer: x < [tex]\frac{140}{27}[/tex]
Step-by-step explanation:
[tex]\frac{6}{5}x - 12 < 2 - \frac{3}{2}x[/tex]
[tex]10(\frac{6}{5}x - 12) < 10(2 - \frac{3}{2}x)[/tex]
2(6)x - 10(12) < 10(2) - 5(3)x
12x - 120 < 20 - 15x
+15x +15x
27x - 120 < 20
+120 +120
27x < 140
[tex]\frac{27x}{27} < \frac{140}{27}[/tex]
x < [tex]\frac{140}{27}[/tex]