Answer:
x=28
So a
Step-by-step explanation:
2x+96+x=180 add like terms (2x+x)
3x+96=180 subtract 96 from both sides (3x+96-96=180-96)
3x=84 divide both sides by 3 (3x/3=84/3)
x=28
958499596858+9538468648545
Answer:
1.0496968e+13
Step-by-step explanation:
Answer:
bro how are u do u remeber me
Step-by-step explanation:
PLS QUICK How did the mountainous geography of Athens influence the economy?
The people of Athens mined gold for trade.
The people of Athens were unable to raise any crops.
The people of Athens focused on the military to protect their region.
The people of Athens relied on sea trade.
Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.
How did the terrain of Athens influence the economy ?Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.
The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.
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Use the simple interest formula to find the principal invested if $790 interest was earned in 5 years at an interest rate of 4%
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$790\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &5 \end{cases} \\\\\\ 790=P(0.04)(5)\implies \cfrac{790}{(0.04)(5)}=P\implies \boxed{3950=P}\)
Now we will calculate the actual probability that all a randomly chosen student has a schedule that excludes music theory. We have found that the probability is given as P=4C38C3 Express your answer as a fraction in simplest form.
The probability that all a randomly chosen student has a schedule that excludes music theory, using the combination formula, is of:
p = 1/14.
What is the combination formula?The number of different combinations of x objects from a set of n elements is obtained with the formula presented as follows, using factorials.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Without simplifying it, the probability that all a randomly chosen student has a schedule that excludes music theory is of:
\(p = \frac{C_{4,3}}{C_{8,3}}\)
The numeric value for each of these combinations is given as follows:
\(C_{4,3} = \frac{4!}{3!1!} = 4\)\(C_{8,3} = \frac{8!}{3!5!} = 56\)Hence the probability is given as follows:
p = 4/56.
The division of 56 by 4 has a quotient of 14, hence the simplified probability is of:
p = 1/14.
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solve the equation for x 5x squared - 4x = 6
help fast please.........................
The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)
What are angles on parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;
They can be;
supplementary
alternate exterior
alternate interior
vertically opposite
and corresponding
The property between angle 3 and angle 6 is that they are alternate interior to each other.
Therefore angle 3 and angle 6 are alternate interior angles.
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2 Rewrite the improper fractions as mixed numbers.
4/3=
Answer:
1 1/3
Step-by-step explanation:
3/3 = 1 Whole
Therefore 4/3 = 1 1/3
Answer: For 4/3, the denominator is 3. Improper fraction. This is a fraction where the numerator is greater than the denominator. Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction.
Step-by-step explanation:
Before we begin, let's revisit some basic fraction terms so you understand exactly what we're dealing with here:
Numerator. This is the number above the fraction line. For 4/3, the numerator is 4.
Denominator. This is the number below the fraction line. For 4/3, the denominator is 3.
Improper fraction. This is a fraction where the numerator is greater than the denominator.
Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.
Now let's go through the steps needed to convert 4/3 to a mixed number.
Step 1: Find the whole number
We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.
4/3= 1.3333333333333 = 1
Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.
Step 2: Get the new numerator
To work this out we'll use the whole number we calculated in step one (1) and multiply it by the original denominator (3). The result of that multiplication is then subtracted from the original numerator:
4 - (3 x 1) = 1
Step 3: Our mixed fraction
We've now simplified 4/3 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:
1
1
3
Step 4: Simplifying our fraction
In this case, our fraction (1/3) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 3 is 1.
We can now divide both the new numerator and the denominator by 1 to simplify this fraction down to its lowest terms.
1/1 = 1
3/1 = 3
When we put that together, we can see that our complete answer is:
1
1
3
Hopefully this tutorial has helped you to understand how to convert any improper fraction you have into a mixed fraction, complete with a whole number and a proper fraction. You're free to use our calculator below to work out more, but do try and learn how to do it yourself. It's more fun than it seems, I promise!
i have no idea how to do this
11 = 3z + 5
What is this answer?
Answer:
subtract 5 from each side z=2
Step-by-step explanation:
Julia can swim 8 km/hr in still water. She attempts to head straight east across a river flowing south at 3 km/hr. What is the magnitude and direction of Julia's velocity.
To solve this problem, we need to use vector addition to find the resultant velocity of Julia.
Let's assume that the east direction is the positive x-axis and the south direction is the negative y-axis.
The velocity of Julia in still water is 8 km/hr in the positive x-axis direction.
The velocity of the river is 3 km/hr in the negative y-axis direction.
To find the magnitude and direction of Julia's velocity, we need to find the resultant velocity vector, which is the vector sum of her velocity in still water and the velocity of the river.
Using the Pythagorean theorem, the magnitude of the resultant velocity can be calculated as:
|V| = √(Vx² + Vy²)
where Vx is the x-component of the resultant velocity and is equal to Julia's velocity in still water, and Vy is the y-component of the resultant velocity and is equal to the velocity of the river.
Vx = 8 km/hr
Vy = -3 km/hr
|V| = √(8² + (-3)²) = √(64 + 9) = √73 km/hr
The direction of the resultant velocity can be calculated as:
θ = tan⁻¹(Vy / Vx)
θ = tan⁻¹(-3 / 8) = -20.56°
The negative sign indicates that the resultant velocity vector makes an angle of 20.56° below the positive x-axis (east direction).
Therefore, the magnitude of Julia's velocity is approximately 8.54 km/hr, and the direction of her velocity is 20.56° below the positive x-axis (east direction).
Which of the following is an integer?
3/5
-12
0.852
The square root of -3
Answer:
4.57
Step-by-step explanation:
i dont have no explanation
factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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what is the value of d (over-bar) for the following set of difference scores? scores: 3, -8, 6, -4, -2
a. -1
b. -3.4
c. -4
d. 23
The value of d-bar for the set of difference scores is -2.5.
To find the value of d-bar for the set of difference scores, we first need to calculate the differences. Taking each score and subtracting the one before it, we get:
= -8 - 3 = -11
= 6 - (-8) = 14
= -4 - 6 = -10
= -2 - (-4) = 2
differences = {-11, 14, -10, 2}
Next, we need to calculate the mean of these differences:
d-bar = (sum of differences) / (number of differences)
= (-11 + 14 - 10 + 2) / 4
= -5 / 2
Therefore, the value of d-bar for the set of difference scores is -2.5.
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area of compound shapes
Answer:
the area of compound shapes is the amount of space inside a shape composed of basic shapes put together (cm²,m²,mm²)
2.05218617 round 1 decimal place.
Answer:
2.1
Step-by-step explanation:
The digit in the second decimal place is 5, which is more than 4. That means 1 must be added to the digit in the first decimal place when you do the rounding.
2.05... rounds to 2.1
Answer:
2.1
Step-by-step explanation:
The digit in the second decimal place is 5, which is more than 4. That means 1 must be added to the digit in the first decimal place when you do the rounding.
What do you do when you have to simplify a rato
Use natural logarithms to solve the equation:
e^x=5/7
Answer:
x=ln(5/7)
Step-by-step explanation:
To cancel out the e you would have to add ln to both sides
ln(e^x)=ln(5/7)
Then you're left with your answer
x= ln (5/7)
Can someone pls explain
163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units
164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.
165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.
166. Missing side = 29 ft.
What is the Pythagorean Theorem?The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.
163. The distance between A(-5, 6) and B(5, -5):
AB = √[(5−(−5))² + (−5−6)²]
AB = √221
AB ≈ 14.9 units
164. Apply the Pythagorean theorem to find the diagonal:
Diagonal = √(15² + 15²) ≈ 21.2 ft.
165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:
c = √676 = 26 units.
166. Missing side = √(20² + 21²) = 29 ft.
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Peter weighs is 105 kg. His wants to lose 500 g per week. How many weeks will it take for him to have
a mass of 90 kg?
Answer:
30 weeks
Step-by-step explanation:
105-90
=15 kg
15kg= 15000g
15000g/500g
=30 weeks
plz mark me as brainliest.
6. Which is the BEST estimate of 2.4679+7.4939? A)O5.5
B)4 x 5
C)6x6
D)5x 6
Answer:
A
Step-by-step explanation:
It because I think it is the correct
Find the value of X from the right triangle please can anybody answer this
Answer:
Step-by-step explanation:
in the first triangle an angle is 60 degrees so it means that the triangle is half of a equilateral triangle.
in this case the base leg is half of the hypotenuse.
x = 8
in the second triangle we have an angle that is 45 degrees and this means that the triangle has two congruent legs
x = 10
- Frank has a gas can with 5 gallons of gas.
If he uses 0.36 gallons each time he cuts the
grass, how many times can he cut the grass?
What is the area of the rectangle below. If reduced by a scale factor of 1/8 . The rectangle is 24cm and 48 cm
Question 14 (1 point)
Chris sells computer equipment for his company. He receives a base pay of $300
plus commission on his sales. He receives 10% for the first $5000 in sales and 15%
anything over $5000.
Last week, he sold $17000 in computer equipment. Find his gross pay.
Round to the nearest whole dollar.
For your answer, do NOT include symbols, commas, words, etc.
HELP PLS
Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.
How is the gross pay determined?The gross pay is the addition of the base pay and the sales commission.
The sales commission is graduated and computed as follows:
Chris' base pay = $300
Sales Commissions:
First $5,000 = 10%
Above $5,000 = 15%
Last week's sales = $17,000
10% Commission = $500 ($5,000 x 10%)
15% Commission = $1,800 ($17,000 - $5,000 x 15%)
Total Commission = $2,300
Gross pay = Base Pay + Commission
= $2,600 ($300 + $2,300)
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Determine a series of transformations
that would map Figure U onto Figure V.
i need help asap
Answer:
di ko maintindihan
Step-by-step explanation:
kase ala ako alam jan
An evergreen nursery usually sells a certain shrub after 5 years of growth and shaping. The growth rate during those 5 years is approximated by dh/dt = 1.2t + 3, where t is the time in years and h is the height in centimeters. The seedlings are 11 centimeters tall when planted (t = 0).
(a) Find the height after t years.
h(t) =
(b) How tall are the shrubs when they are sold?
cm
(a) The height after t years is given by
h(t) = 0.6t² + 3t + 11
(b) The shrubs are 38 centimetres tall when they are sold.
What is the growth rate of the shrubs during the first year of growth?The growth rate of the shrubs during the first year of growth can be determined by setting t = 1 in the given differential equation dh/dt = 1.2t + 3. This gives us dh/dt = 1.2(1) + 3 = 4.2 centimeters per year.
Therefore, during the first year of growth, the shrubs will grow at a rate of 4.2 centimeters per year. This rate of growth is expected to increase as the shrubs age and reach the end of the 5-year growth period before they are sold by the nursery.
(a) To find the height after t years, we integrate the growth rate function with respect to t:
∫dh/dt dt = ∫(1.2t + 3) dt
h(t) = 0.6t² + 3t + 11
(b) The shrubs are sold after 5 years, so we plug in t = 5 into the function we found in part (a):
h(5) = 0.6(5)² + 3(5) + 11
= 38 cm
Therefore, the shrubs are 38 centimetres tall when they are sold.
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Please help. Find the value of x. Round to
the nearest tenth.
Enter the number that belongs in
the green box
Answer:
\(x =13.7\)
Step-by-step explanation:
Given
See attachment
Required
Find x
The relationship between x, 47 and \(17^{\circ}\) is:
\(sin(17^{\circ}) = \frac{x}{47}\)
i.e.
\(sin(\theta) = \frac{Opposite}{Hypotenuse}\)
Solving further:
\(sin(17^{\circ}) = \frac{x}{47}\)
Make x the subject
\(x = 47 * sin(17^{\circ})\)
\(x = 47 * 0.2924\)
\(x =13.7428\)
\(x =13.7\) --- approximated
What is the equation of the line that passes through the point (6,1) and is parallel to the line x+3y=15
9514 1404 393
Answer:
x + 3y = 9
Step-by-step explanation:
The parallel line will have the same x- and y-coefficients. The new constant can be found by using the (x, y) values of the given point.
x + 3y = (6 +3(1)) = 9
The equation of the parallel line is ...
x + 3y = 9
write a real-world problem for the bar diagrams shown than solve your problem
The bar diagram could describe the following real-world problem:
"Peter has an amount of $12 in a piggy bank. If he spends two-thirds of his piggy bank, what does he have now?"
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
We have to give that;
A bar diagram is shown in the figure.
Now, We can make a real-world problem that could represent the bar diagram.
So, We get;
"Peter has an amount of $12 in a piggy bank. If he spends two-thirds of his piggy bank, what does he have now?"
Hence, the above question represents the bar diagram shown.
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The question seems incomplete, the missing graph has been attached below.
Help. Came up with 3 different answers.