Answer:15 boys
Step-by-step explanation:
14+8
37-22
THIS WILL BE 10 POINTS PER Q, SO IF YOU COULD HELP ANSWER THESE ALL, I WOULD LOVE YOU FOREVER :')
1) A bedroom is 10ft by 12f with 8ft high walls
How much would it cost to put wallpaper in this room?
Choices: A) 338.56, B) 438.56, or C) 538.56
2) A kitchen is 12ft by 14ft with 10ft high walls
How much would it cost to put vinyl flooring in this room?
Choices: A) 1,478.40, B) 1,878.20, or C) 1,678.40
3) A bedroom is 10ft by 12ft with 8ft high walls
How much would it cost to put padding and carpet in this room?
Choices: A) 2,295.60, B) 2,095.60, or C) 2,495.60
4) A kitchen is 12ft by 14ft with 10ft high walls
How much would it cost to put wallpaper in this room?
Choices: A) 795.60, B) 895.60, or C) 995.60
1. C. 538.56
2. A. $1478.40
3. A. $2295.60
4.A. $795.60
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)?
y − 1 = −2(x − 4)
y – 1 = Negative one-half(x – 4)
y – 1 = One-half(x – 4)
y − 1 = 2(x − 4)
Given:
The line parallel to the given line containing the points (-3,3) and (-2,1).
Also, the parallel line passes through the point (4,1).
We need to determine the equation of the line in slope - intercept form.
Slope:
Since, the two lines are parallel, then their slopes are equal.
Thus, the slope of the parallel line can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting the points (-3,3) and (-2,1), we get;
[tex]m=\frac{1-3}{-2+3}[/tex]
[tex]m=\frac{-2}{1}[/tex]
[tex]m=-2[/tex]
Thus, the slope of the line is [tex]m=-2[/tex]
Equation of the line:
The equation of the line can be determined using the formula,
[tex]y-y_1=m(x-x_1)[/tex]
Since, the line passes through the point (4,1), let us substitute the point (4,1) in the above formula, we have;
[tex]y-1=-2(x-4)[/tex]
Thus, the equation of the line is [tex]y-1=-2(x-4)[/tex]
Hence, Option a is the correct answer.
To find the equation in point-slope form of a line parallel to the given line and passing through a point, we use the fact that parallel lines have the same slope.
Explanation:To find the equation in point-slope form of a line parallel to the given line and passing through the point (4, 1), we need to use the fact that parallel lines have the same slope.
The given line has an equation in point-slope form as y - 1 = -2(x - 4). The slope of this line, which is -2, will be the slope of the parallel line we are looking for.
Using the point-slope form equation y - y1 = m(x - x1), and substituting the values y1 = 1, x1 = 4, and m = -2, we can write the equation as y - 1 = -2(x - 4).
Hakeem is on a tour bus in Paris with his family he sees l'arc de triomphe at an angle of 34°. if the Arc is 162 feet tall, how far away is the bus? round to the nearest tenth.
a. 134.4 ft
b. 90.6 ft
c. 240.2 ft
d. 109.3 ft
Answer:
Side y = 109. 3
Step-by-step explanation:
Step 1 The two sides we are using are Opposite (y)
and Adjacent (162).
Step 2 SOHCAHTOA tells us to use Tangent.
Step 3 Put our values into the tangent function:
tan 34° = Opposite/Adjacent
= y/162
Step 4 Solve:
Start with: tan 34° = y/162
Swap: y/162 = tan 34°
Multiply both sides by 162: y = 162 tan 34°
y = 109.27
y = 109.27 (to 2 decimal places)
Side y = 109. 3
Find the value of X.
Answer:
x=37
Step-by-step explanation:
We know that the angles in a triangle must add to 180 degrees
So, the three angles: x, 3x-5 and x must be equal to 180
x+3x-5+x=180
Combine like terms
x+3x+x-5=180
5x-5=180
Add 5 to both sides
5x=185
Divide both sides by 5
x=37
A tent company makes one type of tent that is shaped like a triangular prism.
The approximate dimensions of the tent are shown below.
Based on these dimensions, how much fabric is needed to make one tent,
including a floor?
Given:
The base of the triangle = 6 ft
The height of the triangle = 5 ft
The other two side of the triangle = 5.5 ft and 5.5 ft
The height of the prism = 9 ft
To find the measurement of the fabric to make the tent.
We need to find the surface area of the triangular prism.
Formula
The surface area of the triangular prism is
[tex]SA = bh+(a+b+c)H[/tex]
where, b be the base of the triangle
h be the height of the triangle
a and c be other two sides of the triangle
H be the height of the prism
Now,
Putting,
b = 6, h = 5, a = 5.5, c = 5.5 and H = 9 we get,
[tex]SA = (6)(5)+(6+5.5+5.5)(9)[/tex] sq ft
or, [tex]SA = 30+153[/tex] sq ft
or, [tex]SA = 183[/tex] sq ft
Hence,
Based on the given dimension 183 sq ft fabric is needed to make the tent.
Answer:
183 sq. ft. fabric is needed to make the tent.
Step-by-step explanation:
The base of the triangle = 6 ft
The height of the triangle = 5 ft
The other two side of the triangle = 5.5 ft and 5.5 ft
The height of the prism = 9 ft
To find the measurement of the fabric to make the tent.
We need to find the surface area of the triangular prism.
a=1/2bh 1/2(6)(5)*2=30
a=(6*5)+2(9*5.5)+(9*6)=183 sq. ft.
30+99+54=183 square ft.
Mr. Fletcher is looking at a 0.5 millimeter section of plant under a microscope.
The plant section appears enlarged by a scale factor of 10 when looking through the
microscope. He uses the camera on the microscope to photograph what is seen through
the lenses at a scale factor of 20. What is the length of the section of plant in the
photograph?
Answer:
10?
Step-by-step explanation:
20 • .5= 10
Steeze Co. makes snowboards and uses the total cost approach in setting product prices. Its costs for producing 10,500 units follow. The company targets a profit of $315,000 on this product.
The price per unit can be determined by adding the total cost of production to the target profit and then dividing by the quantity produced. This assumes the market will tolerate this price.
Explanation:In order to determine pricing in Steeze Co., using the total cost approach, you would need to add the total cost of producing the units to the target profit and then divide by the quantity to get the price per unit. Here's the step-by-step calculation:
Add the total cost of producing 10,500 units to the target profit: Total Costs + Target Profit = Total Cost to RecoverCalculate the unit cost: Total Cost to Recover / Quantity of Units Produced = Price Per UnitThe result provides the price point Steeze Co. needs to set to meet its profit target given its production costs and quantity. Note: This assumes the market will tolerate this price; market factors and consumer willingness to pay also need to be considered.Learn more about Cost-Based Pricing here:
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Please help quickly!
Answer: A
Step-by-step explanation:
Use the data to find the interquartile range.
Number of Points Scored at Ten Basketball Games
64 38 50 71 60 58 47 55 70 45
Answer:
17
Step-by-step explanation:
The Interquartile range is the difference between the Quartile 1 and 3. Those quartiles are the median of the left and right side.
Ex: 1, 2, 3, 4, 5
Median = 3, so quartile 1 = median of left side of 3 and quartile 3 = median of right side of 3
First we should organize the data from least to greatest.
38 < 45 < 47 < 50 < 55 < 58 < 60 < 64 < 70 < 71
The median is 56.5.
Quartile 1 = 47
Quartile 3 = 64
64-47 = 17
Hope this helps!
Answer:
Q1 is 38,45,47,50,55
Q2 is 58,60,64,70,71
middle numbers are 47 and 64
64-47=17
Step-by-step explanation:
Which of the following graphs shows a pair of lines that represent the equations with a solution (−2, 5)?
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the right and 5 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 units to the right and 2 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 places to the left and 2 units up.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the left and 5 units up.
Answer:
Substitution.
Step-by-step explanation:
x+y=2
y=-x+2
2x+(-x+2)=4
x=2
(2)+y=2
y=0
Solution: (2,0)
Answer:
subsitution
Step-by-step explanation:
Please help ASAP this is very important
And please hurry
WHOEVER FINISHES FIRST I WILL MARK AS BRAINLIEST!!!!
Which number is equivalent to 6%? Select all that apply.
A. 6.0
B. 0.06
C. 0.6
D. 6/100
E. 3/50
Answer:
B. 0.06
D. 6/100
E. 3/50
A restaurant needs four chairs for each table. Let c represent the number of chairs it needs if there are t tables. Which variable is dependent ? Which is independent? Write an equation to represent the relationship, (whoever is the first and has the correct answer gets 100 points and ill give you brainliest. PLEASE I NEED THIS TODAY)
Answer:
DV = numbers of chairs needed (c)
IV = number of tables (t)
IV × 4 = DV OR t × 4 = c
Step-by-step explanation:
DV dependent variable
IV independent variable
brainliest please?
The dependent variable means that it depends on how the independent variable is being manipulated. The independent variable is a variable that represents an amount that is being manipulated.
The dependent variable is "c" because it depends on the number of chairs it needs if there are t tables.
The independent variable is "t" because it manipulates the amount chair there are by the amount of tables there are.
Equation: 4t = c
4t represents the amount of chairs there are for the amount of tables there are. c represents the total amount of chairs.
Best of Luck!
Maria collected r rocks.
Javier collected twice as many rocks as Maria and Pablo collected 5 less than Javier.
Answer:
2r-5
Step-by-step explanation:
Answer:
2r-5
Step-by-step explanation:
if an arc of 60 degrees has an arc length of 50pi what is the circumference
Answer: 300[tex]\pi[/tex]
Step-by-step explanation:
Let's use the arc-length formula to solve this problem, and plug in the values that we have. Arc length is 50[tex]\pi[/tex] and the arc is 60°
Arc-length = [tex]2\pi r (\frac{x}{360})[/tex]
[tex]50\pi =2\pi r(\frac{60}{360})[/tex]
Cancel the [tex]\pi[/tex] and simplify the fraction.
[tex]50 = 2r(\frac{1}{6})[/tex]
Simplify further.
[tex]50 = r(\frac{1}{3} )[/tex]
Pass the 3 to the other side.
[tex]150=r[/tex]
So our radius is 150.
To find the circumference, we use the formula [tex]2\pi r[/tex]
Plug in r.
[tex]2\pi (150) = 300\pi[/tex]
To find the full circumference of a circle, multiply the given arc length for 60 degrees (50π) by 6, yielding a total circumference of 300π.
Explanation:To find the circumference of a circle when given the arc length of a particular section, we can use the relationship between the arc's degree measure and the circle's total circumference. Since the arc length of 60 degrees is 50π, we recognize that 60 degrees is one-sixth of a circle's full 360 degrees. Therefore, to find the full circumference of the circle, we multiply the arc length by 6 (because 360° / 60° = 6).
50π times 6 equals 300π, which is the circumference of the circle. This process uses the fact that the circumference of the circle is proportionate to the circle's rotation angle, which completes at 360°, corresponding to an angle of 2π radians.
Find the rational zeros of the polynomial function. Then enter the function in factored form.
h(x)=6x^3-11x²-3x + 2.
The zeros are x __,__,__
Answer:
The zeros are -1/2, 1/3 and 2.
The factors are (x - 2)(3x - 1)(2x + 1)
Step-by-step explanation:
h(x)= 6x^3 - 11x² - 3x + 2 = 0
As the last term is 2 we try to see if +/-1 or +/- 2 are zeros
f(1) = -6, f(-1) = -18 so they are not zeros.
f(2) = 6*8 - 11*4 - 3(2) + 2
= 48 - 44 - 6 + 2
= 4 - 6 + 2
= 0.
So x = 2 is a zero and x - 2 is a factor.
Dividing by x - 2:
x - 2 ) 6x^3 - 11x² - 3x + 2 ( 6x^2 + x - 1 <--------Quotient
6x^3 - 12x^2
x^2 - 3x
x^2 - 2x
- x+ 2
-x + 2
Factoring the quotient:
6x^2 + x - 1
= (3x - 1)(2x + 1) = 0
x = 1/3, x = -1/2..
A box of candy contains 24 chocolates that are all the same shape, size, and color. Ten of the chocolates have vanilla cream centers, six have chocolate cream centers, and the
rest have caramel centers. What is the probability of randomly selecting a chocolate with a caramel center?
A. 1/4
B. 1/3
C. 5/12
D. 2/3
Answer:
b
Step-by-step explanation:
Answer:
B. 1/3
Step-by-step explanation:
We know that:
- There are 24 total chocolates
- 10 + 6 of them do not have caramel centers, the rest of them do.
The first step is to evaluate how many chocolates have caramel centers. To do this, add 10 and 6.
10 + 6 = 16
Now, subtract that number from 24 to get the amount of chocolates with caramel centers.
24 - 16 = 8
8 of the chocolates have caramel centers. This means that the ratio of caramel centered chocolates to all chocolates is 8:24, or 8 out of 24.
Since the question is looking for a fraction answer, convert the ratio to a fraction. 8:24 becomes 8/24.
Now, simplify the fraction. 8/24 becomes 1/3.
The final answer is 1/3.
The histograms below show the heights (in meters) of the tallest buildings in China and the United States.
Which pieces of information can be gathered from these histograms?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
The United States has the tallest building of these two countries.
(Choice B)
B
China has more buildings over 390390390 meters tall.
(Choice C)
C
None of the above
Information on the number of tall buildings and their heights in China and the United States can be interpreted from the histograms, with specific focus on the tallest buildings and the number surpassing the 390-meter mark.
Explanation:From the provided histograms comparing the heights of the tallest buildings in China and the United States, several pieces of information can be gathered. If the histograms indicate that the tallest bar on the chart for China is over the 390-meter mark and more numerous compared to the United States' histogram, then Choice B would be correct, indicating that China has more buildings over 390 meters tall. To verify Choice A, we would need to look at the highest point on both histograms; if the highest bar on the U.S. histogram extends further than the Chinese one, then it would mean the United States has the tallest building of the two. Without seeing the histograms, these judgments are based on typical interpretations of histogram data.
When considering data on tall buildings such as the number of stories and their height, constructing a histogram can help illustrate the frequency distribution of these heights. For example, using the rule of thumb that one story is approximately equal to the height of two adult humans, it is possible to establish some basic estimates for building heights. However, for detailed statistical analysis, including the identification of linear relationships or outliers, the data would need a closer examination, possibly using a least-squares or best-fit line.
Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.
She uses her ruler to draw a 4 inch line segment .
She uses her compass to draw a circle around point with radius 3 inches
She draws another circle, around point with radius 5 inches.
Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.
ΔABC and ΔABD are the required Triangle.
What is Construction?Geometric constructions are precise drawings of geometrical shapes, angles, and lines. We will need a pencil, a ruler (or other straight edge), and compasses to do this. Perpendicular bisector and angle bisector are the fundamental constructions.
We have,
Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.
Elena should find the intersection of two circles at point C and point D.
Connect point B and C, A and C or connect them.
ΔABC and ΔABD are the required Triangle.
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Solve the equation if 0 degrees<=x<=360 degrees.
cosx= -1/2
Answer:
Step-by-step explanation:
hello :
cosx= -1/2 0°≤x≤360°
x = 120°
x=240°
What is the total surface area
A.640
B.264
C.320
D.525
Answer:
B. 264
Step-by-step explanation:
Although the figure may look odd, This is just a square pyramid on it's side.
So, to find the surface area, we need to find the area of the base and the area of the faces and add them together.
To find the area of the base:
Since the base is a square, all we have to do is multiply 8 by itself.
8 * 8 = 64
The area of the base is 12.5 in^2
To find the area of the faces:
Since the faces are triangles, we have to multiply the length by the height and divide by 2.
8 * 12.5 = 100
100/2 = 50
The area of one face is 50 in^2
To find the surface area:
Add the area of the base to the area of all 4 sides.
64 + 4(50)
64 + 200 = 264
The surface area of the pyramid is B. 264 in.^2
You are choosing between two health clubs. Club A offers membership for a fee of $28 plus a monthly fee of $24. Club B offers membership for a fee of $35 plus a monthly fee of $17. After how many months will the total cost of health club A be at least the total cost for Club B
Answer:
The cost will be the same after 1 month
Step-by-step explanation:
Step 1: set up the equation
club A= 28x+24 club B= 35x+17
club A=club B: 28x+24=35x+17
Step 2: Get rid of the smallest X
28x+24=35x+17
-28 -28
24=7x+17
Step 3: Get rid of the constant next to the variable to isolate the variable
24=7x+17
-17 -17
7=7x
Step 4: Inverse operation to remove variable
7÷7x=7x÷7x
1=1
I hope this helped, im not too good at explaining but im positive the solution is correct.
Answer:
With $35, a member is paying 100%.
Since the reduction is 5%, that means his is paying now 95% of $35,
that means $35 x 0.95 = $33.25, So the decrease in fees is 35-33.25 = $1.75
Another method: the reduction was 5% on the $35 or 5% x 35 = 0.05x35=$1.75
Step-by-step explanation:
The circumference of a hubcap of a tire is 81.58 centimeters. Find the area of this hubcap
Answer:
Step-by-step explanation:
Answer:
About 530cm²
Step-by-step explanation:
C=2×pi×radius
81.58=2×3.14×radius
81.58=6.28r
81.58÷6.28=6.28r÷6.28
About 12.99cm is radius.
A=pi×radius²
A=3.14×12.99²
A=3.14×168.7401
A=529.843914
Area is about 530cm²
Finding Leg Lengths. Find the length of a leg in the 45°-45°-90°
triangle.
Answer:
12. [tex]x=10[/tex]
13. [tex]x=4[/tex]
14. [tex]x=5[/tex]
15. [tex]x=1[/tex]
16. [tex]x=8[/tex]
17. [tex]x=14[/tex]
Step-by-step explanation:
for these i also used the pythagorean theorem ([tex]a^{2}+b^{2}=c^{2}[/tex])
[tex]a[/tex] and [tex]b[/tex] are the legs, [tex]c[/tex] is the hypotenuse
12.
[tex]x^{2} +x^{2} =(10\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =200[/tex]
[tex]x^{2} =100[/tex]
[tex]x=10[/tex]
13.
[tex]x^{2} +x^{2} =(4\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =32[/tex]
[tex]x^{2} =16[/tex]
[tex]x=4[/tex]
14.
[tex]x^{2} +x^{2} =(5\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =50[/tex]
[tex]x^{2} =25[/tex]
[tex]x=5[/tex]
15.
[tex]x^{2} +x^{2} =(\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =2[/tex]
[tex]x^{2} =1[/tex]
[tex]x=1[/tex]
16.
[tex]x^{2} +x^{2} =(8\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =128[/tex]
[tex]x^{2} =64[/tex]
[tex]x=8[/tex]
17.
[tex]x^{2} +x^{2} =(14\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =392[/tex]
[tex]x^{2} =196[/tex]
[tex]x=14[/tex]
Which statements are true regarding the sequence below? Check all that apply.
It can be represented using the formula f(x + 1) = 5 (f) when f(1) = 10.
It can be represented using the formula f(x) = 4 6 *.
It can be represented using the formula fx) = 10 (6)*-.
The domain of the sequence is all real numbers.
The range of the sequence is all natural numbers.
It’s a and c
Step-by-step explanation:
The true statements about the given geometric sequence are as follows:
A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.
C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1
What is geometric series?The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The given sequence is as follows:
10/3, 4, 24/5, 144/25, ...
The sequence is a geometric sequence with a common ratio of 6/5.
The first term is 10/3, so we can use the formula f(x + 1) = (6/5)(f(x)) to represent the sequence.
We have
f(x) = 10/3
Also, for f(x+1) we can have
x = 1,
f(1)= 10/3
f(2)= 4
So, f(x + 1) = 6/5(f(x))
Thus, the correct options are A and C.
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The complete question is as follows:
Which statements are true regarding the sequence below? Check all that apply.
10/3, 4, 24/5, 144/25, ...
A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.
B) It can be represented using the formula f (x) = 4 (6/5) /\x.
C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1
D) The Domain of the sequence is all real numbers
E) The range of the sequence is all natural numbers.
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation?
A) y = -4/3 x + 31.
y = 2 x + 7.
B) y = -4/3 x + 31/3
y = 2 x + 7.
C) y = -4/3 x + 31.
y = -2 x + 7.
D) y = -4/3 x + 31/3
y = -2 x + 7.
Answer:
B) y = -4/3 x + 31/3
y = 2 x + 7
Step-by-step explanation:
The equations above match the description given about them.
If this answer is correct, please make me Brainliest!
Explain how you find the median of a set of date that has an even number of data points.
Answer:
find the average of the 2 numbers in the direct middle.
Step-by-step explanation:
1,2,4,4,4,4,6,6,6,6,6,6
4,6
4+6=10
10/2=
=5
Please help don’t understand
Answer:
D
Step-by-step explanation:
Which equation represents a line with a slope of zero?
y = 2 x
y = negative one-half x + one-half
y = 4
x = negative 5 pPLS URRY
Answer:
y = 4
Step-by-step explanation:
This is a never changing equation that sets y as 4 no matter what, so it's a horizontal line, a slope of zero.
How many teenagers should be in the sample
Answer:
THEREFORE
Step-by-step explanation:
THERE SHOULD BE 7 TEENAGERS IN THE SAMPLE.
HOPE, THIS MAY HELP YOU BRO!!..
The sample should include 18 teenagers, as they constitute 60% of visitors aged 13-19 among the total sample of 30.
To determine the number of teenagers that should be in the sample, we first need to calculate the proportion of teenagers among the total visitors and then apply that proportion to the sample size.
From the cumulative frequency table, we can see that:
- The total number of visitors is 350.
- The number of teenagers (ages 13-19) is 210.
The proportion of teenagers among all visitors is:
[tex]\[\frac{\text{Number of teenagers}}{\text{Total number of visitors}} = \frac{210}{350}\][/tex]
Now, we need to apply this proportion to the sample size of 30 to find out how many teenagers should be in the sample:
[tex]\[\text{Number of teenagers in the sample} = \text{Proportion of teenagers} \times \text{Sample size}\][/tex]
[tex]\[\text{Number of teenagers in the sample} = \frac{210}{350} \times 30\][/tex]
[tex]\[\text{Number of teenagers in the sample} = \frac{3}{5} \times 30\][/tex]
[tex]\[\text{Number of teenagers in the sample} = 18\][/tex]
So, there should be 18 teenagers in the sample.