Answer:
15
Step-by-step explanation:
1 point
The area of an airplane's wings is related to the airplane's lifting force,
which holds the airplane in the air. The table below lists several wing areas
and the corresponding lifting forces. The ratio of lifting force to area is
equivalent for all pairs in the table. What are the values of x and y?*
AIRPLANE LIFTING FORCE
Area of Wings Lifting Force
(square feet) (pounds)
125
1,875
150
175
2,625
250
3,750
x
5,625
420
2,250
O
x = 375 square feet and y = 7,500 pounds
O
x= 335 square feet and y = 6,300 pounds
O
x= 335 square feet and y = 7,500 pounds
O
x = 375 square feet and y = 6,300 pounds
Answer:
x = 375 square feet and y = 6,300 pounds.
Explanation:
The table is:
AIRPLANE LIFTING FORCE
Area of Wings Lifting Force
(square feet) (pounds)
125 1,875
150 2,250
175 2,625
250 3,750
x 5,625
420 y
The ratio of lifting force to the area is equivalent for all pairs in the table. What are the values of x and y?
1. Calculate x:
Ratio of lifting force to the area for the first pair (row):
125/1,875Ratio of lifting force to area for the pair with x:
x/5,625Set the proportion:
Equal the two ratios
x/5,625 = 125/1,875Multiply both sides by 5,625 (multiplication property of equalities):
x = 5,625 × 125/1,875x = 375 ← answer2. Calculate y:
You can use the same know ratio for the first pair: 125/1,875
And set the corresponding proportion, with y:
420/y = 125/1,875Invert both sides:
y/420 = 1,875/125Multiply both sides by 420
y = 420 × 1,875/125 y = 6,300 ← answerThe answer is x = 375 square feet and y = 6,300 pounds.
Leave your answer in terms of pi. Find the circumference.
Answer:
[tex]2\pi \: r \\ 2 \times \pi \times 7 \\ = 14\pi[/tex]
4(x-2)=3(x-3) what is the answer
The answer is -1
Step-by-step explanation:
2. Evaluate 5xy
if x = 2 and y = 6.
Answer:
[tex]5(2)(6) = 60[/tex]
What is the ratio for the surface areas of the cones shown below, given that
they are similar and that the ratio of their radii and altitudes is 4:3?
---
--
A. 16:9
B. 9:16
C. 64:27
D. 27:64
The ratio of the surface areas of the cone shown is 16 : 9.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given are two cones.
Also given that,
Ratio of the radii of the cones = 4 : 3
It is given that both cones are similar figures.
So scale factor = 4/3
Surface area of a cone = πr² + πr√h²+r²
Now the surface area is proportional to the square of the radii of the cone.
So ratio of surface area = 4² / 3² = 16 / 9
Hence ratio of the surface area of the cones is 16 : 9.
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Please help me I am horrible at calculations
Solve for x when y=-0.27
5y+8(x−3y)=7x−12
Answer:
X = -12.54 (I am a Math Class Topper in both 6th Grade an 7th Grade)
Step-by-step explanation:
5 x .27 = 1.35
8x - (3 x .27) = .81
1.35 + 8x - .81 = 7x - 12
- 7x - 7x
----------------------------------
1.35 + X - .81 = -12
+ .81 +.81
---------------------------
1.35 + X = -11.19
-1.35 -1.35
-----------------------
X = -12.54
A cylinder has a radius of 9 inches and a height of 7 inches. What is it he volume of this cylinder
Answer:
1808.64
Step-by-step explanation:
an equation for the line that has a slope of 1/2 and passes through the point (-2,5)
Answer:
[tex]y = 1/2x + 6[/tex]
Step-by-step explanation:
Step 1: Find the equation
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - (5)) = 1/2(x - (-2))[/tex]
[tex]y - 5 = 1/2(x + 2)[/tex]
[tex]y - 5 + 5 = 1/2x + 1 + 5[/tex]
[tex]y = 1/2x + 6[/tex]
Answer: [tex]y = 1/2x + 6[/tex]
Francine is selling ice cream from her shack on the ocean. She opens the shack
with 500 servings of ice cream. During the day she sells enough ice cream to
decrease her total ice cream by 65%. How many servings of ice cream does
Francine have left? *
Answer:
325 servings
Step-by-step explanation:
What is the domain of F(x) = In(x)?
A. all real numbers except 0
B. all real numbers greater than 0
C. all real numbers
D. all real numbers less than
Answer: all real numbers expect ZERO
Step-by-step explanation:
PLEASE I NEED HELP WITH THIS!!!!
Answer:
oh yeah thats the 3rd one
Step-by-step explanation:
Can someone help me with this hint it’s not c but someone plz help me I don’t get it
Answer: 27
Step-by-step explanation:
f(1)=−3
f(n)=2⋅f(n−1)+1
f(2)=
Answer:
-5
Step-by-step explanation:
f(2) = 2 * f(2-1) + 1
f(2) = 2 * f(1) + 1
f(2) = 2(-3) + 1
f(2) = (-6) + 1
f(2) = -5
The dot plot below shows the number of books 26 students read in a month:
Dot plot labeled Number of Books Read shows 10 dots over 0, 7 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, and 3 dots over 10.
Is the median or the mean a better center for this data, and why?
Mean; because the data is skewed and there are outliers
Mean; because the data is symmetric and there are outliers
Median; because the data is skewed and there are outliers
Median; because the data is symmetric and there are outliers
A penny is tossed and a number cube is rolled. Find probability P(tails and 3). Please select one answer.
1/12
1/2
1/6
Answer:
the probability is 1/12
Step-by-step explanation:
The probability, P(Tails) to get tails is equal to:
[tex]P(Tails)=\frac{1}{2}[/tex]
Because a penny have two possible options heads or tails and tails is one option.
Additionally, the probability P(3) that the number cube get a 3 is equal to:
[tex]P(3)=\frac{1}{6}[/tex]
Because the cube have 6 possible options and 3 is one option.
Now, the probability P(tails and 3) is calculated as a multiplication of P(tails) and P(3). then, P(tails and 3) is equal to:
P(tails and 3) [tex]=\frac{1}{2}*\frac{1}{6}=\frac{1}{12}[/tex]
Answer:
1/12
Step-by-step explanation:
First we calculate the probability of the coin tossed being a tails.
The coin has two sides (heads and tails), so the probability of each case is 1/2, so the probabilty of having a tails is 1/2
For the number cube, we have six possibilities, so the probability of having a number 3 is 1/6
Now, to find the final probability P(tails and 3) we just need to multiply both probabilities:
P(tails and 3) = P(tails) * P(3) = (1/2) * (1/6) = 1/12
The triangles are congruent by SSS or HL
Which transformation(s) can map MNQ onto PQN
Translation only
Reflection only
Rotation, then reflection
Rotation, then translation
Answer:
Rotation, then translation
Step-by-step explanation:
At first, the triangle MNQ rotates around the point center Q 180° counter clockwise without change the distance among the three points so it does change the shape the the object.
Then, we apply translation towards right so that it will became ΔPQN without resizing or rotating the object.
Hence, transformation(s) can map MNQ onto PQN are Rotation, then translation
Estimate the perimeter of the figure to the nearest whole number.
To estimate the perimeter, we use the given information of the width of the rectangle, which is 1.25 cm. Assuming the lengths are similar, we estimate them to be 1.25 cm as well. Using these measurements, we calculate the perimeter of the figure to be approximately 5 cm.
Explanation:To estimate the perimeter of the figure, we need to determine the measurements. The given information states that the rectangle is at least 1.0 cm wide but not 2.0 cm wide. Using the tick marks on the ruler, we can estimate the width to be 1.25 cm. Since the perimeter of a rectangle is the sum of all its sides, we find the perimeter by multiplying the width by 2 and adding it to the sum of the two lengths. However, we don't have information about the lengths, so we can't find the exact perimeter, but we can estimate it based on the width. Assuming the lengths are similar, we can use the estimated width of 1.25 cm to estimate the lengths as well.
To estimate the lengths, we can assume that each length is greater than the width. Let's assume the lengths are also 1.25 cm. The perimeter can then be estimated by multiplying the width by 2 and adding it to the sum of the two lengths: (1.25 cm * 2) + (1.25 cm + 1.25 cm) = 2.5 cm + 2.5 cm = 5 cm. Therefore, we estimate the perimeter of the figure to be approximately 5 cm.
The estimated perimeter of the pentagon is 19 units.
To estimate the perimeter of the given pentagon, we need to find the length of each side and add them together. The pentagon has a base of four units and the other sides are three units each.
To find the perimeter, we add the lengths of all the sides. In this case, the base has a length of four units, and there are five sides of three units each.
Calculating the perimeter:
4 + 3 + 3 + 3 + 3 + 3 = 19 units
Therefore, the estimated perimeter of the pentagon is 19 units.
5x - y - 4z = -16
x + 3y+ z= 5
2x+ 4y - 3z= 1
Answer:
Step-by-step explanation:
hello :
look this solution :
Please help! I will mark you as brainliest!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Sum the frequency column to find the total number of students
total = 2 + 9 + 5 + 5 + 3 = 24
number of students finished in less than 20 mins = 2 + 9 + 5 = 16
fraction of students = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex]
what is 14991.1 rounded to the nearest hundredth
Answer:
15000.0
Step-by-step explanation:
Answer:
Step 1: Round to the nearest hundredth
It is already rounded to the tenth so rounded to the hundredth would just add a 0.
14991.10
Answer: 14991.10
If you meant hundreds:
14991.10
Since the tens place is greater or equal to 5, you round up the hundreds place. This will make the thousands place go up by one.
14991.10
15000
A room has a rectangular floor that is 15 feet by 21 feet. What is the area of the floor in square yards?
A. 24
B. 35
C. 36
D. 105
E. 144
Answer:
B. 35
Step-by-step explanation:
1. Multiply 15 by 21 to get 315 ft.
2. Convert square feet to square yards to get 35
3. There are 3 feet in ONE yard. The question asks you to convert the area from SQUARE feet to SQUARE yards. Squared means two. Three feet (or one yard) doubled is 9, so divide 315ft by 9.
4. 315 divided by 9 gives you 35
(This answer is correct according to the Official 2020-2021 ACT Practice Test answer sheet)
The area of the floor in square yards will be 315 square feet's.
What is the area of square and a rectangle?
The area of the square and rectangle is -
Square = [x]² {x is the side of a square]
Rectangle = L x B {L is the length and B is breadth}
Given is a room has a rectangular floor that is 15 feet by 21 feet.
We have room that has a rectangular floor that is 15 feet by 21 feet.
The area of the rectangle will be -
A = 15 x 21
A = 315 square feet's.
Therefore, the area of the floor in square yards will be 315 square feet's.
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WILL GIVE BRAINLIEST!!!
x + 2y = 10
3x + 4y = 8
Which point is the solution to the system of equations?
A) (7, 1.5)
B) (11,-12)
C) (-11, -12)
D) (-12, 11)
An athlete can run 9 kilometers in 1 hour. If the athlete runs at that same average speed for 30 minutes, how far will the athlete travel? *
1 point
A 18 kilometers
B 9 kilometers
C 4.5 kilometers
D It travels right at an increasing speed.
The athlete can cover 4.5 km in 30 minutes. Hence, option C is correct.
Important information:
An athlete can run 9 kilometers in 1 hour.We need to find the distance covered by the athlete in 30 minutes.
Average speed:We know that 1 hour = 60 minutes. So,
The distance covered in 60 minutes is 9 km.
The distance covered in 1 minute is [tex]\dfrac{9}{60}[/tex] km.
The distance covered in 30 minutes is [tex]\dfrac{9}{60}\times 30=4.5[/tex] km.
Therefore, the athlete can cover 4.5 km in 30 minutes. Hence, option C is correct.
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Kishuana rode her bike for 35 minutes each on Monday, Wednesday, and Saturday and 55 minutes each on Tuesday and Thursday. Write an expression that shows the total amount of time she spent riding her bike. Then evaluate the expression.
order of operations
Answer:
35a+55b=c
35x3=105
55x2=110
105+110=215
c=215
she rode her bike for 215 mins= 3 hours and 58 mins
Step-by-step explanation:
An animal shelter spends $2.00 per day to care for each bird and $5.00 per day to care for each cat. Gabriel noticed that the shelter spent $44.00 caring for birds and cats on Friday. Gabriel found a record showing that there were a total of 13 birds and cats on Friday. How many birds were at the shelter on Friday?
Answer:
7 birds
Step-by-step explanation:
Let b = number of birds
c = number of cats
We know there were 13 birds and cats
b+c =13
It is $2 per bird and $5 per cat for a total of $44
2b+5c =44
Solve b+c =13 for c by subtracting b from each side
c = 13-b
Now we can substitute this into the second equation
2b+5c =44
2b + 5(13-b) =44
Now distribute
2b+65 -5b = 44
Combine like terms
-3b +65 =44
Subtract 65 from each side
-3b +65-65 =44-65
-3b = -21
Divide each side by -3
-3b/-3 = -21/-3
b=7
There were 7 birds
We could also find the number of cats
c =13-7
c =6
Answer:
7 birds
Step-by-step explanation:
No. of birds: x
No. of cats: y
2x + 5y = 44
x + y = 13
x = 13 - y
2(13 - y) + 5y = 44
26 - 2y + 5y = 44
3y = 18
y = 6
x = 13 - 6
x = 7
Suppose there is a simple index of three stocks, stock ABC, stock XYZ, and
stock QRS. Stock ABC opens on day 1 with 4000 shares at $3.15 per share.
Stock XYZ opens on day 1 with 5000 shares at $4.30 per share. Stock QRS
opens on day 1 with 6000 shares at $4.60 per share. The price of stock ABC
on day 8 begins at $3.50. The price of stock XYZ on day 8 begins at $3.90.
Stock QRS opens on day 8 with a price of $4.50 per share. Assume that each
stock has the same number of shares that it opened with on day 1. What is
the rate of change of this simple index over 1 week?
O A. 1.9%
O B. 2.0%
O C. -1.9%
O D. -2.0%
Answer: C -1.9
Step-by-step explanation:
The rate of change of this simple index over 1 week given the change in the stock prices is -1.9%.
What is the rate of change?
The rate of change is the difference in the total value of the simple index.
Total value of the simple index at day 1 = (4000 x $3.15) + (5000 x $4.30) + (6000 x $4.60) = $61,700
Total value of the simple index at day 8 = (4000 x $3.50) + (5000 x $3.90) + (6000 x $4.50) = $60,500
Rate of change = (60,500 / 61700) - 1 = -1.9%
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What is the slope of the line 6x+10y=8 ?
Answer:
-3/5
Step-by-step explanation:
6x + 10y = 8
10y = -6x + 8
10y/10 = -6x/10 + 8/10
y = -3/5x + 4/5
Does that help?
Does 10.5, 36, 50 form a right triangle
Answer:
No because if you are looking for a right triangle its sums have to equal to 90 degrees
Step-by-step explanation:
for example:side a; 30 inches
side B;30 in
c;30 that equals 90 so that is a right triangle
Answer:
No, it is not a right triangle.
Step-by-step explanation:
10.5, 36, and 50 do not form a right triangle. This can be tested using the Pythagorean theorem.
10.5^2=110.25
36^2= 1296
50^2=2500
If this was a right triangle, the 10.5 squared and 36 squared would have to equal 50 squared.
The segments represent roads in a town, measured in miles. Theo drove from the post office to the grocery store. How many miles did he travel?
Answer:
16 miles
Step-by-step explanation:
The graph is counting by 2, and there are 8 spaces between the Grocery store and the post office. 8(2) = 16
Answer: 16
Step-by-step explanation:
Lynn put 3 7/8 gallons of gas in her gas tank. if there are now 18 1/6 gallons in the tank, how many gallons did she start with?? Please I need an answer ASAP worth 25 points!!!!
Lynn starts with 14.3 gallons in her gas tank.
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
She put 3 7/8 gallons of gas in her gas tank. if there are now 18 1/6 gallons in the tank.
We have to determine the number of gallons did she start with
As per the given question, the required evaluation would be as:
Initial gallons = current gallons - put gallons
Initial gallons = 18 1/6 - 3 7/8
Convert the improper fractions into decimals,
Initial gallons = 18.167 - 3.875
Apply the subtraction operation, and we get
Initial gallons = 14.292 ≈ 14.3
Therefore, she starts with 14.3 gallons in her gas tank.
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