Answers
AC / DF = BC / EF
3 / 5 = 8 / 2x Cross multiply
3 * 2x = 5 * 8 Multiply
6x = 40 Divide by 6
x = 40 / 6
x = 6 4/6
x = 6 2/3
6 2/3 answer <<<<<<<
Related Questions
The cost of a taxi is $2.75 plus $0.40 per half mile.write an equation to find the cost of a taxi ride that is m miles long How much would it cost you to travel 45 miles m=#miles c=#cost
1.C stand for ____.
a.cost
b.circle
2.what is the equation?
a.c=-0.4m+2.75
b.c=0.4m+2.75
3.what is the solution?
a.$6.35
b.$6.25
Answers
2) 2.75 is the fixed rate so we would keep it as is. C is the cost which would the total, so c = ?m + 2.75
0.40 per half mile so you put 0.40m because it varies depending on the amount of miles
That makes the equation c = 0.40m + 2.75
3) Now to find how much it costs for 45 miles, you plug 45 for m
c = 0.4 * 45 + 2.75
c = 20.75
Not sure why it isn't an option
PLEASE HELP ASAP!!!!!
Answers
A rectangle has a perimeter of 34 cm in an area of 52 cm squared it's length is 5 more than twice its width write and solve the system of equations to find the dimensions of the rectangle
Answers
Let [tex] l [/tex] be the length and [tex] w [/tex] be the width of the rectangle.
Given perimeter of the rectangle
[tex] 2(l+w)=34 \; l+w=17[/tex]
Area of the rectangle is
[tex] lw=52 [/tex]
Also length is 5 more than twice its width,
[tex] l=2w+5 [/tex]
From the above equations
[tex] (l-w)^2=(l+w)^2-4lw=17^2-4*52=81\\
l-w=9,\; since \; l>w [/tex]
Now [tex] 2l=9+17=26\;,l=13,w=4 [/tex]
The dimensions of the rectangle are length [tex] l=13 [/tex], and width [tex] w=4 [/tex].
A truck is transporting 6 cars to a dealership. Each car weighs 1 ton 1,400 pounds. What is the total weight in pounds of the cars the truck is transporting?
Answers
STEP 1:
Convert each car's weight to pounds:
= 2000 pounds + 1400 pounds
= 3400 pounds per car
STEP 2:
multiply each car's weight in pounds by the total number of cars
= 3400 pounds * 6 cars
= 20,400 pounds total
ANSWER: The truck is transporting 20,400 pounds.
Hope this helps! :)
10 < –2b or 2b + 3 > 11
Answers
10 < –2b can be reduced by dividing both sides by -2; you must then reverse the direction of the < sign: -5 > b, which is the interval b < -5: (-infinity, -5).
2b + 3 > 11 reduces to 2b > 8, which in turn reduces to b > 4: (4, infinity).
It may be helpful to graph these sets.
If you really do mean "10 < –2b or 2b + 3 > 11," then the "solution" is made up of two sub-intervals: b < -5 and b > 4.
Sara hiked down a mountain for 4 hours. Each hour her elevation decreased by 8 meters. Compute her change in elevation to her starting point.
Answers
Sara's change in elevation is calculated by multiplying 4 hours by -8 meters/hour. This gives a total change in elevation of -32 meters, which shows that Sara descended 32 meters from her starting point.
Explanation:The subject of your question is math, specifically dealing with the concept of multiplication. To determine Sara's change in elevation, we have to know how much the elevation decreases each hour. It's important to note that the decrease in elevation is the same as saying Sara is descending, thus the change will be represented by a negative number.
In this case, for every hour Sara hiked, her elevation decreased by 8 meters. Therefore, the total change in elevation after 4 hours would be 4 hours multiplied by -8 meters/hour. The calculation for this is:
4 hours * -8 meters/hour = -32 meters
Therefore, Sara hiked down a total of 32 meters from her starting point on the mountain.
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9x squared= -18x+7
[tex]9x {}^{2} = - 18 + 7[/tex]
Answers
Layla drew a quadrilateral with 4 right angles and 2 pairs of opposite sides sides that are parallel.What quadrilateral best describes her drawing?
Answers
Based on the given information, Layla's drawing is a special type of quadrilateral known as a rectangle.
What is the rectangular shape?Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.
A rectangle is defined as a quadrilateral with four right angles and opposite sides that are parallel and congruent (i.e., they have the same length).
In Layla's drawing, she stated that there are two pairs of opposite sides that are parallel, which satisfies this definition.
Furthermore, the fact that all four angles are right angles also fits the definition of a rectangle.
It is important to note that not all quadrilaterals with two pairs of parallel sides and four right angles are rectangles.
For example, a parallelogram with four right angles is a special type of rectangle known as a square, which has all sides congruent.
Therefore, based on the given information, Layla's drawing best describes a rectangle.
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the radius of a golf ball is 2.1 centimeters find the volume of the golf ball to the nearest tenth
Answers
The volume of the golf ball, rounded to the nearest tenth, is approximately 13.8 cm^3.
Explanation:
The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.
In this case, the radius of the golf ball is given as 2.1 centimeters. So, substituting the value of the radius into the formula, we can find the volume.V = (4/3)π(2.1)^3 = 4.4π cm^3. To find the volume to the nearest tenth, we substitute π with its approximate value of 3.14 and calculate V = 4.4 * 3.14 = 13.816 cm^3.Rounded to the nearest tenth, the volume of the golf ball is approximately 13.8 cm^3.
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which is cheaper 6x8 tiles for 1.29 or 4x4 tiles for .99
Answers
- 16 = .99
16 × 3 = 48
3 × 0.99 = 2.97
That equals:
48 = 1.29
48 = 2.97
The cheaper one is 6×8 tiles for $1.29
Hope this helped☺☺
After calculating the cost per square inch for both tiles, the 6x8 tile at $0.026875 per square inch is less expensive than the 4x4 tile at $0.061875 per square inch. Thus, the 6x8 tiles are cheaper.
Explanation:To determine which tile is cheaper, you need to calculate the cost per square inch for each tile, and then compare them. The 6x8 tile has an area of 48 square inches (6 inches x 8 inches), and it costs $1.29. To find the cost per square inch, divide $1.29 by 48 square inches.
Cost per square inch for 6x8 tile: $1.29 / 48 = $0.026875
The 4x4 tile has an area of 16 square inches (4 inches x 4 inches), and it costs $0.99. To find the cost per square inch, divide $0.99 by 16 square inches.
Cost per square inch for 4x4 tile: $0.99 / 16 = $0.061875
Comparing these two amounts, the 6x8 tile at $0.026875 per square inch is less expensive than the 4x4 tile at $0.061875 per square inch. Therefore, the 6x8 tiles are cheaper than the 4x4 tiles.
$7800 increased by 22.5%
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22.5 / 100 = .225
Then add 1.
.225 + 1 = 1.225
Finally times 7800 with 1.225
7800(1.225) = 9555
$9555 is the answer.
Evaluate 2^5/2^3
A 1
B 2^8
C 4
D 8
Answers
When you divide two exponents with the same base you can subtract the exponents
2^5 / 2^3 = 2^2
2^2 = 4
The answer is C) 4
Hope this helps!
to evaluate division you do subtraction with the exponents
2^5/2^3 = 2^2= 2 x 2 = 4
So your answer is C) 4
Hope this helps,
QueenBeauty666
how do you solve for x and y
Answers
⇒ Ratio of the smaller triangle : larger triangle = 1 : 2
x = 34 x 2 = 68 units
Angles in a triangle sum up to 180:
y = 180 - 76 - 41 = 63°
Answer : x = 68 units, y = 63°
maths question help plz
Answers
x = sqrt(5.1^2 + 2.5^2)
x = sqrt ( 26.01 + 6.25)
x = sqrt(32.26)
x = 5.679
rounded off: X = 5.68 mm
The Eiffel Tower is about 301 m tall Cooper is making a scale model of the using the scale 750 meters : 1 meter to the nearest 10th of a meter, what will be the height of the scale model
Answers
[tex] \frac{301}{x} = \frac{750}{1} [/tex]
Cross multiply the values.
750x = 301
Divide both sides by 750 to solve for x.
x = [tex] \frac{301}{750} [/tex]
Converted to a decimal and rounded to the nearest tenth, the scale model will be 0.4 meters tall.
2. Basketball Players:
Find the Measures of Center and Variability for Basketball Players Heights.
Mean:
Mode:
Median:
Range:
3. a. How many of the 10 basketball players are shorter than the tallest field hockey player?
b. List the heights that overlap in the dot plot?
Answers
Mode: 72
Median: 72
Range: 7
3a. 2 players
3b. 68, 69 inches
2. Adding all the heights together yields 721. divide it by the number of players (10) for the mean of 72.1.
72 appears the most at 4 times so it is the mode.
The median with the values ordered 72 is the middle number.
The maximum of 75 minus the minimum of 68 gives a range of 7.
3a. there are two dots that are smaller then the tallest hockey player, b. those dots are at 68 and 69 inches in the dot plot
use the law of cosines to find the measure of BC?
Answers
x=33.00
The length of side CB is 33 unit using Law of Cosines.
Thus, option (D) is correct.
Given:
AB = 28 unit
<A = 81
AC = 17 unit
According to Law of Cosines
the lengths of the sides of a triangle to the cosine of one of its angles.
The Law of Cosines states:
[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]
Where:
c = side opposite angle C
a and b = lengths of the other two sides
< C= opposite side c
Now, using Law of Cosines
CB² = AC² + AB² - 2 . AC. AB COS (91)
= (17)² + (28)² - 2 (17)(28) COS (91)
= 289 + 784 - 476 (-0.01745)
= 1,081.3062
So, CB = √ (1,081.3062)
CB = 32.883
CB = 33 unit.
Thus, the value of CB is 33 unit.
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Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week that Jackson goes to the gym is 2.05. The probability that he goes 0 days is 0.1, the probability that he goes 2 days is , and the probability that he goes 3 days is .
Answers
For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
He goes to the gym 0, 2, or 3 days per week.
Let's assume P(0 days)=p, P(2 days)=q, and P(3 days) = r.
So, p+q+r = 1
E(X)= E(x=0)*P(0 days) + E(x=2)*P(2 days) + E(x=3)*P(3 days)
E(X) = 0*p + 2*q + 3*r = 2q + 3r
Given is the value of P(0 days) = p = 0.1
Given is the expected value of number of days is E(X) = 2.05
Therefore, we have 0.1 + q + r = 1 and 2q + 3r = 2.05
Or, q + r = 0.9 and 2q + 3r = 2.05
Solving the two equations :-
(2q+3r)-2*(q+r) = 2.05-2(0.9)
r = 0.25
q = 0.65
Therefore, P(2 days) = 0.65 and P(3 days) = 0.25
The ___ is the collection of all possible individual outcomes for a chance process. The total probability of all the possible individual outcomes is ____.
Choices for first blank: probability model; relative frequency; sample space; probability
Choices for second blank: 0.5; 0; 1; 100
Answers
Answer:
1. sample space
2. 1
Step-by-step explanation:
Dadas las funciones f(x) = x + 3, g(x)= x(cuadrada)+ 5x + 6,r(x) = x+2, s(x) = x(cuadrada) - 3x - 10
Determina (g(x)) (s(x))
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if f(x)=3x^2+2x-1, what is f(0)
Answers
A ladder is leaning on a fence and it reaches up a wall 20 feet high. The fence is 10 feet from the wall and the base of the ladder is 12 feet from the fence. How tall is the fence, in feet?
Answers
Answer:
10.9 feetStep-by-step explanation:
The wall, fence and ladder form similar right triangles as pictured
Use the ratio of corresponding sides to solve for x, the fence height
x/12 = 20/(10+12)x/12=20/22x/12 = 10/11x = 12*10/11x = 10.9 feetThe fence is 10.9 feet tall
Explain how the segment addition postulate can be modeled using a real-world object.
Answers
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A number that is equal to 36 more than y
Answers
The number that is equal to 36 more than y is represented as x = y + 36, and is an algebraic expression that adds 36 to the variable y to define another variable x.
Explanation:The question "A number that is equal to 36 more than y" can be expressed in a mathematical form as x = y + 36. Here, we are defining a new variable x, which represents the number that is 36 more than another variable y. This type of problem is common in algebra, where one variable is defined in terms of another.
To understand this with an example, if y represented someone's final exam history grades and we wanted to find a number that is 36 points higher than their history grade, we would add 36 to their grade y to get x. So, if the history grade was 60, the number x would be 60 + 36, which equals 96.
This relationship between x and y could be part of a larger system of equations or could represent a formula used to transform one set of data to another set, such as adjusting scores or predicting outcomes based on previous data.
For several months, a restaurant manager collected data on the number of people at a table (p) and the total bill, in dollars (d). She found that there is a positive linear association between p and d that is best modeled by the equation
d = 15.7p + 2.0.
What statement is true?
The model predicts that the average total bill for a table is $15.70.
The model predicts that for each additional 2 people at a table, the total bill increases by $15.70.
The model predicts that the average bill for any table with 2 people is $15.70.
The model predicts that for each additional person at a table, the total bill increases by $15.70.
Answers
select all expressions less than 5-square root of 135
a.pie/square root of 2
b.5/square root of 3
c.3+2 times square root of 2
d.4+8 time square root of 50
explain and show work
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Alan drew a polygon with four sides and four angles. All four sides are equal.None of the angles are right angles.What figure did Alan draw
Answers
whats the factor of 21n^2 -14
Answers
Answer:
7(3n^2-2)
Step-by-step explanation:
=21n^2-14
As the numbers 21 and 14 are multiples of 7, so 7 will be the common factor
=7(3n^2-2)
Jade is making a square birthday card and she's going to put a ribbon borders on each of the 4 equal sides piece of ribbon that is 33 inches long do you have all of the ribbon how many inches of ribbon conget put on all
equals side
Answers
(she will have 1 inch left)
Final answer:
Jade can use 8.25 inches of ribbon on each side of her square birthday card by dividing the total ribbon length of 33 inches by the number of sides, which is 4.
Explanation:
Jade is making a square birthday card and wants to put ribbon borders on each of the 4 equal sides using a piece of ribbon that is 33 inches long. To determine how much ribbon can be put on each side, we divide the total length of the ribbon by the number of sides of the square. Since a square has four sides, we divide 33 inches by 4.
33 inches ÷ 4 sides = 8.25 inches per side
Therefore, Jade can put 8.25 inches of ribbon on each side of the birthday card.
How many 8 ounce bags of trail mix can be filled from a 10 pound bag of trail mix
Answers
160 oz/ 8 oz = 20 bags