Which situation best represents the following equation?
30 + 4x = 70 + 2x
Answer:
There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?
Step-by-step explanation:
There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?
Please help .... I’ll give the brainliest
Please help I’m timed thank you!!!
Answer:
BAP=12
ABP=32.5
BCP=45.5
Which expressions describe the area of the shaded region? Select all that apply. A rectangle is divided into 12 columns and 6 rows, making 72 smaller rectangles. An area that includes 9 smaller rectangles and is the intersection of 3 of the 12 columns and 3 of the 6 rows is shaded. A. 3 12 × 3 6 B. 3 10 × 1 2 C. 1 4 × 1 2 D. 1 4 × 1 3 E. 4 12 × 3 6
Note that the expressions describing the area of the shaded region are:
3/12 * 3/6 (Option A) and
1/4 * 1/2 (Option C)
What is the rationale for the above response?Note that the shaded region amounts to 1/8 of the entire shape. Where 1/8 is also equal to 0.125.
A) Lets take 3/12 * 3/6
To multiply these fractions, we can first simplify them by canceling any common factors between the numerator and the denominator:
3/12 = 1/4 (both numerator and denominator can be divided by 3)
3/6 = 1/2 (both numerator and denominator can be divided by 3)
Now we can multiply the simplified fractions:
(1/4) * (1/2) = 1/8
Therefore, 3/12 * 3/6 = 1/8.
C) Lets also take 1/4 * 1/2
To multiply these fractions, we simply multiply their numerators and denominators:
(1/4) * (1/2) = (11) / (42) = 1/8
Therefore, 1/4 * 1/2 = 1/8.
Thus, we are correct to state that the expressions describing the area of the shaded region are:
3/12 * 3/6 (Option A) and
1/4 * 1/2 (Option C)
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Full question:
See the attached image.
Find the circumference of a circle with radius,
r
= 7.2m.
Give your answer rounded to 1 DP.
Answer:
45.24
Step-by-step explanation:
the formula for circumference is:
c=2πr
So,
45.24= 2π(7.2)
−3/5×8/6= helpplease
Answer:
-4/5 OR -0.8
Step-by-step explanation:
This problem is very simple but it can be broken down
First we do -3 times 8 and get -24
Then we do 5 times 6 and get 30
We put the first answer over the second which equals
-24/30
This can then be simplified further if we divide both sides by 6
-4/5 as a fraction
-0.8 as a decimal
-80% as a percent
A local dry-cleaning company bought new equipment and its estimated useful life is 4 years. Using the straight-line depreciation method, what is the rate of depreciation each year?
Answer:
$2,500 or 25%
Step-by-step explanation:
Let's use the same example:
Cost of Equipment = $10,000
Useful Life = 4 years
Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100
Annual Depreciation = Cost of Equipment / Useful Life
Annual Depreciation = $10,000 / 4 years
Annual Depreciation = $2,500
Depreciation Rate = ($2,500 / $10,000) * 100
Depreciation Rate = 0.25 * 100
Depreciation Rate = 25%
MATH IS CALLING AND I DONT WANT TO PICK UP PLZ HELP WITH THIS
Answer:
9
Step-by-step explanation:
|-5| = 5
|4| = 4
5+4
Abby owns a square plot of land. She knows that the area of the plot is between 2200 and 2400 square meters. Which of the following is a possible value for the side length of the plot of land.
The possible value of the side length of the plot of land that Abby owns, which is between 2200 and 2400 square meters is A. 48 meters.
What is the length?The length is the quantitative measurement of a distance from one point to another position.
Length can also refer to the size of an object that has width or/and height.
Data and Calculations:The square of 2,200m² = 46.9 meters (√2,200)
The square of 2,400m² = 48.99 meters (√2,400)
The square of the median value of 2,200m² and 2,400m², which is 2,300m² is 48 meters approximateluy.
Thus, the possible value of the side length of the plot of land is A. 48 meters.
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Question Completion with Answer Options:A. 48 meters
B. 46 meters
C. 44 meters
D. 50 meters
Answer the following questions
The answers are given below.
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given:
1) 2Sin(9θ).Cos(5θ)=1/2(Sin14θ+Sin4θ)
2) Sin(3θ)Sin(5θ)Cos(3θ)Cos(5θ)=1/2(Sin8θ+Sin2θ)
3)Cos6θ+Cos4θ=2Cos5θCosθ
4)Sin(13θ/2)+Sin9θ=2Sin(11θ/2)Sinθ
5)Cosθ=2√5/5
6)Cos2θ=23/2
7)Tan(π/12)=2-√3
8)Sin(165°)=√6-√2 /4
9)Cos(5π/18)Cos(2π/9)-Sin(5π/18)Sin(2π/9)=Cos(π/2)
=0
Hence, these are the answers .
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Find the sum. Write your answer in simplest form. 4 8/9 + 5 5/12
Answer:
The answer would be 10 11/36
Step-by-step explanation:
I decided just to write it down somewhere else just to make it easier
Hope this helps
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
What is the value of x in inches in the right triangle below
Answer:
x = 5.83 inches
Step-by-step explanation:
Given that,
The base of a right triangle, b = 5 inches
Perpendicular distance of a right anged triangle, h = 4 inches
We need to find the value of x. x is the Hypotenuse of the triangle.
We can use the Pythagoras theorem to find it.
According to Pythagoras theorem,
\(H^2=b^2+h^2\)
H is Hypotenuse
\(H^2=3^2+5^2\\\\H^2=9+25\\\\H=5.83\ \text{inches}\)
So, the value of x is equal to 5.83 inches.
Suppose you draw 8 cards out of a well-shuffled deck of 52 cards, and one-by-one with re-placement, consider X as the number of spades that you obtain. Which is the distribution of X?
Answer:
It is a Binomial experiment with n = 8 and p = 0.25
Step-by-step explanation:
It is given that we draw 8 cards out of the well shuffled deck of 52 cards one by one replacement.
Given :
\($n=8$\)
P (getting a spade) = \($\frac{13}{52}$\)
= 0.25
As in the question, we are sampling with the replacement, so the probability of getting a spade in each draw remains the same and the all the draws are independent.
Therefore it is a Binomial experiment with n = 8 and P = 0.25
Kelsey has 4 containers that are each filled with the same amount of paint. When she pours all the paint from the containers into a jar, the total amount of paint in the jar is less than 32 fluid ounces. Kelsey wants to know how much paint was in each container.
The amount of paint was in each container is, at most 8 ounces.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Kelsey has 4 containers that are each filled with the same amount of paint.
And, The total amount of paint in the jar is less than 32 fluid ounces.
Let the number of fluid ounces of paint in each container = P
So, We can formulate;
⇒ 4P < 32
Solve for P;
⇒ P < 8 ounces
Thus, Each container contain at most 8 ounces of paint.
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39. From the top of a vertical cliff 50 meters high, the angles of depression of an object that is levelled with
the base of the cliff is 30°. How far is the object from the base of the cliff?
A. 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
41. From the top of the building of a food chain, the angle of depression from where Miguel stands is
45°. If the building is 12 meters high, how far is he from it?
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
42. A plane, at an altitude of 3,000 feet, observes the airport at an angle of 27°. What is the
horizontal distance between the plane and the airport to the nearest foot?
A. 3,000 feet
B. 4,000 feet
C. 5,000 feet
D. 6,000 feet
43. An escalator has an angle of elevation of 10° and a vertical rise of 6 m. Find the length of the
escalator.
C. 34.55 m
D. 36 m
A. 6,09 m
B. 34,03 m
Answer: cos4
Step-by-step explanation: 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
A region consists of 2,545 thousand acres of farm land. If 32% of this land is privately owned, find how may acres are not privately owned
Answer:
1730.6
Step-by-step explanation:
First you have to substract 100 - 32 to find the percentage of land (acres) that is not privately owned
You get 68 percent, then you need to multiply the percentage to the 2,545 thousand acres of farmland the region consists
So, 2,545 x .68
=1730.6
5,10,15,20,25 what is the common difference
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15
a rectangular sign has a length of 3 and 1/2 ft and width of 1 and 1/8 ft will the area of the sign be greater or less than 3 and 1/2 ft, how do you know? What is the area of the sign?
Answer:
The area is 3.9375 cubic ft, so yes, the area will greater than 3 and 1/2 ft.
Hope this helps:)
Step-by-step explanation:
Length of a rectangular sign :-
\( = 3 \frac{1}{2} \: \: m\)
Width of a rectangular sign :-
\( = 1 \frac{1}{8} \: \: m\)
We know that :-The formula for finding the area of a rectangle is :-
\( =\bold{ length \times breadth}\)
Which means :-The area of the rectangular sign:-
\( =3 \frac{1}{2} \times 1 \frac{1}{8} \)
\( = \frac{(2 \times 3 )+ 1}{2} \times \frac{(8 \times 1) + 1}{8} \)
\( = \frac{6 + 1}{2} \times \frac{8 + 1}{8} \)
\( = \frac{7}{2} \times \frac{9}{8} \)
\( = \frac{7 \times 9}{2 \times 8} \)
\( = \frac{63}{16} \)
\( ={3 \frac{15}{6} \: \: }\)
\( = 3 \frac{15 \div 3}{6 \div 3} \)
\( ={ 3 \frac{5}{2} \: m}\)
Thus, the area of the rectangular sign is:-
\( =\bold{ 3 \frac{5}{2} \: m}\)
We can see that :-\(\bold{3 \frac{5}{2} \: > 3 \: \frac{1}{2} \: }\)
Which will mean that the area of the rectangular sign is greater than \( { 3 \frac{1}{2} \: m}\).
Therefore, the area of the rectangular sign is = \( \bold{ 3 \frac{5}{2} \: m}\) and it is greater than \( \bold{ 3 \frac{1}{2} \: m}\) .
A survey found that 70% of students do their homework before dinner out the 150 students how many would you expect to do homework before dinner
Answer: 105 students
explanation: set up a proportion. 70/100 =x/150. cross multiply. (70x150)/100=105
Which equation represents the model below
A) 2x - 2 = -6
B) 4x = 6
C) 2x + 2 = -6
D) 4x = -6
The sum of the digits of a two-digit of a two-digit numeral is 9. The units’ digit is twice the tens’ digit. Find the numeral.
Answer: 36
Step-by-step explanation:
Let the unit's digit is 2x, so the tens' digit is x.
So x+2x=9
x=3
SO the number is 36
Evaluate the expression. 50 points!!
Answer:
C
Step-by-step explanation:
If you notice, this is what the tangent-difference identity resembles. The tangent-difference identity is:
\(\tan(\alpha-\beta)=\frac{\tan(\alpha)-\tan(\beta)}{1-\tan(\alpha)\tan(\beta)}\)
We have the expression:
\(\frac{\tan(\frac{\pi}{7})-\tan(\frac{\pi}{8})}{1-\tan(\frac{\pi}{7})\tan(\frac{\pi}{8})}\)
So, our α is π/7 and our β is π/8. Therefore:
\(\frac{\tan(\frac{\pi}{7})-\tan(\frac{\pi}{8})}{1-\tan(\frac{\pi}{7})\tan(\frac{\pi}{8})}=\tan(\frac{\pi}{7}-\frac{\pi}{8}})\)
Simplify:
\(\frac{\tan(\frac{\pi}{7})-\tan(\frac{\pi}{8})}{1-\tan(\frac{\pi}{7})\tan(\frac{\pi}{8})}=\tan(\frac{8\pi}{56}-\frac{7\pi}{56}})\)
Subtract:
\(\frac{\tan(\frac{\pi}{7})-\tan(\frac{\pi}{8})}{1-\tan(\frac{\pi}{7})\tan(\frac{\pi}{8})}=\tan(\frac{\pi}{56})\)
So, our answer is C.
And we're done!
Answer:
c
Step-by-step explanation:
PLZZZZZ HELP ME WHOEVER ANSWERS FIRST CORRECTLY I WILL MAKE BRAINLIESTTTT
Answer:
A-D E-B F-C
Step-by-step explanation:
complete the partial two-way frequency table below that shows the extracurricular activities of high school students. Based on the data in the table, how many students do not play an instrument
According to the information, the missing number from the box is number 40.
How to find the missing number in the box?To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.
According to the above we can infer that the missing number is 40.
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Select the shapes that are similar to shape A
Answer:
Orange and pink, I'm not too sure
Answer:
Orange and pink.
Step-by-step explanation:
Because there shapes are same.
Find the midpoint of the segment between (6,7) and (6,-5)
(0, -1)
(6,1)
(1,6)
(0, 1).
Helpppo pleasee
Answer:
(6,1)
Step-by-step explanation:
midpoint = ((x2+x1),(y2+y1)/2)
= (6+6)/2, (-5+7)/2
= 12/2, 2/2
= 6,1
Answer:
(6, 1)Step-by-step explanation:
GivenSegment (6, 7) and (6, -5)To findMidpoint Solutionx- coordinates same so the line is vertical and we'll only calculate the y-coordinate
x= 6y = (7 + (-5))/2 = 2/2 = 1So the point is
(6, 1)A clothing business finds there is a linear relationship between the number of shirts, n , it can sell and the price, p , it can charge per shirt. In particular, historical data shows that 1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $22 . Find a linear equation in the form p(n)=mn+b that gives the price p they can charge for n shirts.
The linear equation in the form p(n) = mn + b that gives the price p they can charge for n shirt is p(n) = - 1 / 250n + 34.
How to linear equation in slope intercept form?Linear equation can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p , it can charge per shirt. 1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $22 .
Therefore,
using (1000, 30) and (3000, 22) let's find the slope.
m = 22 - 30 / 3000 - 1000
m = - 8 / 2000
m = - 1 / 250
Hence, let's find the y-intercept using (1000, 30)
p(n) = mn + b
where
p = pricen = number of shirtTherefore,
30 = - 1 / 250 (1000) + b
30 = - 4 + b
b = 30 + 4
b = 34
Hence, the linear equation is p(n) = - 1 / 250n + 34
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What is the measure of arc Q R?
26°
52°
104°
128°
Answer:
128
Step-by-step explanation:
i just took the test
Answer: D) 128
Step-by-step explanation: