Answer:
(i)= 45 KPH, (ii) = 251 miles
Step-by-step explanation:
'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.
Then, to see how far a nine hour trip would cover, distance = speed * time = 251 miles.
Answer:
Below.
Step-by-step explanation:
(i) Speed of the bus = 270/6 = 45 km/hour.
(ii) In 9 hours it travels 45 * 9 = 405 km.
Leslie paid $12 for 4 books. What is the unit rate of the book purchase?
Answer: 3 dollars for a book.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
which of the following conditions assure that lines are AE and BD are perpendicular
Answer:
I think option a is correct
1. Estimate the product of 19.8 and 5 by rounding each factor to the nearest whole number
A. 50
B. 100
C. 95
D. 99
Answer:
the answer is 100
Step-by-step explanation:
as it is told to round the factors to nearest whole no. 19.8 will be 20 and 5 will remain same... 20*5 is 100
A right triangle has a hypotenuse with a length of 130 cm. One leg has a length of 100 cm. What is the length of the other leg of the triangle? A. 130 B. 6900 C. 65 D. 130
Answer:
B. √6900
Step-by-step explanation:
The square length of hypotenuse is equal to sum of square length of two legs let x represent the other leg
130^2 = 100^2 + x^2
16900 = 10000 + x^2 subtract 10000 from both sides
6900 = x^2 find the root for both sides
x = √6900
If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a) 4 3 m (b) 3 7 m ( c )4 m (d) 1 3
Answer:
\(m_2 = -\frac{3}{4}\) -- (a)
\(m_2 = -\frac{7}{3}\) -- (b)
\(m_2 = -\frac{1}{4}\) --- (c)
\(m_2 = -3\) -- (d)
Step-by-step explanation:
Given
\(a.\ m = \frac{4}{3}\)
\(b.\ m = \frac{3}{7}\)
\(c.\ m = 4\)
\(d.\ m = \frac{1}{3}\)
Required
Determine the slope of a perpendicular line
In geometry, the condition for perpendicularity is:
\(m_2 = -\frac{1}{m}\)
This formula will be applied in solving these questions.
\(a.\ m = \frac{4}{3}\)
\(m_2 = -\frac{1}{m}\)
Substitute 4/3 for m
\(m_2 = -\frac{1}{4/3}\)
Express as a proper division
\(m_2 = -1/ \frac{4}{3}\)
Convert to *
\(m_2 = -1* \frac{3}{4}\)
\(m_2 = -\frac{3}{4}\)
\(b.\ m = \frac{3}{7}\)
\(m_2 = -\frac{1}{m}\)
Substitute 3/7 for m
\(m_2 = -\frac{1}{3/7}\)
Express as a proper division
\(m_2 = -1/ \frac{3}{7}\)
Convert to *
\(m_2 = -1* \frac{7}{3}\)
\(m_2 = -\frac{7}{3}\)
\(c.\ m = 4\)
\(m_2 = -\frac{1}{m}\)
Substitute 4 for m
\(m_2 = -\frac{1}{4}\)
\(d.\ m = \frac{1}{3}\)
\(m_2 = -\frac{1}{m}\)
Substitute 1/3 for m
\(m_2 = -\frac{1}{1/3}\)
Express as a proper division
\(m_2 = -1/ \frac{1}{3}\)
Convert to *
\(m_2 = -1* \frac{3}{1}\)
\(m_2 = -\frac{3}{1}\)
\(m_2 = -3\)
Rhianna made 3/5 of a quart of hot chocolate. Each mug holds 1/5 of a quart. How many mugs will Rhianna be able to fill?
Step-by-step explanation:
To solve this problem, we need to divide the amount of hot chocolate Rhianna made (3/5 of a quart) by the amount of hot chocolate that can fit in each mug (1/5 of a quart).
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, we want to divide 3/5 by 1/5, so we can rewrite the problem as:
(3/5) ÷ (1/5)
To divide by a fraction, we can flip the second fraction and multiply, so we get:
(3/5) x (5/1) = 3
This means that Rhianna can fill 3 mugs with the hot chocolate she made.
Answer: 3 quarts
Step-by-step explanation:
1/5 + 1/5 + 1/5 = 3/5
3 separate quarts
HELP!! URGENT!!
Find the perimeter of the triangle. Simplify your answer.
The expression that represent the perimeter of the triangle is 3d² - 4d + 1.
What is the perimeter of the given triangle?The perimeter of any two-dimensional figure is simply the distance around the figure.
Hence, the perimeter of the triangle is the sum of all its 3 side lengths.
From the diagram:
Side length 1 = ( d² + 3 )
Side length 2 = ( 4d² + 3d - 2 )
Side length 3 = ( -2d² - 7d )
Hence, the perimeter of the triangle will be:
Perimeter = side length 1 + side length 2 + side length 3
Plug in the expressions
Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )
Collect and add like terms:
Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d
Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2
Perimeter = 3d² - 4d + 1
Therefore, the perimeter is 3d² - 4d + 1.
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Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
The true statements are
The value of f(–10) = 82
The graph of the function is a parabola.
The graph contains the point (20, –8).
What is a Parabola:A parabola is a type of conic section that is formed when a plane intersects a cone in such a way that the angle between the plane and the vertical axis of the cone is equal to the angle between the plane and a generator (a straight line passing through the vertex and the base of the cone).
The resulting shape is a symmetrical, U-shaped curve. The standard form of the parabola is a quadratic function.
Here we have
The quadratic function f(x) = x²/5 – 5x + 12
Now check each option as follows
1. The value of f(–10) = 82
To check this find f(-10) as follows
f(-10) =1/5 (-10)²– 5(-10) + 12 = 20 + 50 + 12 = 82
Hence, The value of f(–10) is equal to 82
2. The graph of the function is a parabola.
As we know the standard equation of a parabola is a quadratic function that is in the form of ax² + bx + c
Hence, the quadratic function represents a parabola
3. The graph of the function opens down.
In the given function f(x) = x²– 5x + 12, the coefficient of the x² term is 1. Since the coefficient of x² is positive, the parabola opens upwards.
Hence, The graph of the function opens down is false
4. The graph contains the point (20, –8).
To check this substitute the point in f(x)
=> –8 = 1/5(20)²– 5(20) + 12
=> –8 = 80 – 100 + 12
=> –8 = –8 [ Which is true ]
Hence, The graph contains the point (20, –8).
5. The graph contains the point (0, 0).
=> 0 = (0)²– 5(0) + 12
=> 0 = 12 [ which is not true ]
Hence, The graph doesn't contain the point (0, 0).
Therefore,
The true statements are
The value of f(–10) = 82
The graph of the function is a parabola.
The graph contains the point (20, –8).
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A hot air balloon descended 3240 feet in an hour. Find the change in altitude per minute?
Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.
Solving the QuestionWe're given:
\(\dfrac{3240\hspace{4}feet}{hour}\)
We also know that:
\(\dfrac{hour}{60\hspace{4}minutes}\)
Multiply the two to cancel out the hour:
\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)
Simplify:
\(=\dfrac{54\hspace{4}feet}{minute}\)
Answer\(\dfrac{54\hspace{4}feet}{minute}\)
Help asap please!
Based on the graph, what essay score would be expected for a person with a shoe size of 14?
A 70, based on the negative association
B It cannot be determined because there is no association
C 80, based on the nonlinear association
D 90, based on the positive association.
Answer: I think its B but it could be A i dont know
Find the slope of the line passing through (6, 7) and (2,9). (1 point) SHOW WORK!
Describe fully the single transformation that’s maps triangle A onto triangle B.
Answer:
reflection of the axis y=4
Step-by-step explanation:
becuase it is reflected on itself
Answer:
Reflect Triangle A by the line y = 4
Step-by-step explanation:
The answer is reflect Triangle A by y = 4 because the two triangles are symmetric.
SHOW YOUR WORK (24 points) Asap
Answer:
3. 17x + 5 = 90° ( alternate exterior angles are equal)
=> 17x + = 90 – 5
=> 17x = 85
=> x = 85/17
=> x = 5
4. 63° + c + 110° + 75° + 50° = 360 °
=> c + 298° = 360°
=> c = 360° – 298°
=> c = 62 °
1/7 divided by 20/21
Answer: 3/20
Step-by-step explanation: (1/7) :(20/21) = (1/7 )· 21/20 = 21/(7·20)= 3/20
Can someone please help me with this
Answer:
39 sq inches
Step-by-step explanation:
HW
Example 7: While chasing the Joker, the Batmobile was traveling at 120 miles per hour. The
Joker's get-away car was traveling at 176 feet per second. Who was traveling faster, Batman or the
Joker? Explain your answer.
Answer:
this is a trick question 176 fps is equal to 120 mph
so 120=120
The corresponding side lengths of two
figures have a ratio of What is the ratio of the perimeters? the ratio of
or
the areas?
Answer:
you make a question that lacks explanation
The cost of one t-shirt is 128. How much will be the cost of 20
The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.
When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.
Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.
We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.
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Which expression is equivalent to 4/9×7?
Find the LCD of the following:
1. 3/8, 1/4, 5/12
2. 2/3,5/6, 7/9
Answer:
1. LCD= 24
2. LCD= 18
A normal distribution has a mean of 7 and a standard deviation of 2 . What percent of values are from 7 to 13?
49.87 because I searched it up
Your car can drive 320 miles on a tank of 31 gallons. How many gallons are needed to drive 1,070 miles?
Answer:
104 gallons
Step-by-step explanation:
320/31=10.323 miles per gallon
1070/10.323=103.66 <---round to whole number
104 gallons needed
What is the equation of the line in slope-intercept form?
-2
=-=x+4
v=-15)+4
5
2
V=--x-4
5
2
V=--x+4
The equation of the line in slope-intercept form is y = 3x + 4.
We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.
The formula for the mixture is provided by:
n C r equals n!/r! (n-r)!
where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.
In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:
36 C 24 = 36! / (24! * 12!)
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If the sea level raise 4mm/year what will the sea level be in 75 years
Answer:
Step-by-step explanation:
75/4 = 18.75mm
PLEASE HELP FOR 100 POINTS AND BRAINLIESTT HELP PLEASE
Kim has fraction 1 over 2 cup of almonds. She uses fraction 1 over 8 cup of almonds to make a batch of pancakes.
Part A: How many batches of pancakes can Kim make with fraction 1 over 2 cup of almonds? (4 points)
Part B: On your own paper, draw a fraction model that shows the total number of batches of pancakes that Kim can make with fraction 1 over 2 cup of almonds. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A.
Answer:
The total number of batches of pancakes that Kim can make with the model is 4 batches of pancake
Step-by-step explanation:
Number of cups of pancakes = 2/4
Number of cups of almonds to make a batch of pancakes = 1/8
Therefore, the batches of pancakes that she can make will be:
= 2/4 ÷ 1/8
= 2/4 × 8/1
= 4
In conclusion, the number of batches of pancakes that Kim can make with the cup of almonds is 4 batches.
What is the 16th term in the following geometric sequence?
5, −10, 20, −40, 80,...
Which prism has an volume of 6 cubic units? 1 3 1 1 2 1 12 2
the 1st one is the right answer.
Answer:
The answer is B just took test..
Enter the ordered pair for the vertices for T(3,-2)
(QRST).
Q'
||
4 -R
R' = (
T
S'=(
4
S
y
O
Q
R
X
4
As a result, the vertices' coordinates after translation are Q'(4,1), R'(6,-5), S'(3,-4) and T' (1,-1).
What is vertices ?Where two or more line segments or edges meet, a shape has a vertex (like a corner). Vertex is the singular form of the noun. A cube, for instance, has eight vertices, whereas a cone only has one. When discussing 2D and 3D shapes, the term "vertices" is preferred over the term "corners."
Given:
QRST is the number.
There is a translation rule \(T_{(3,-2)} (QRST)\)
In search of:
following translation, the vertex's coordinate.
Solution:
The result of applying the translational rule is \(T_{(3,-2)} (QRST)\) what we receive (x , y) → (x+3 , y-2)
The vertices of QRST are Q(1,3), R(3,-3), S(0,-2) and T, as is evident from the given picture (-2,1).
The result of applying the aforementioned rule is
Q(1,3) → Q' (1+3 ,3-2)→ Q'(4,1)
R(3,-3) → R' (3+3, -3-2) = R'(6,-5)
S(0,-2) → S'(0+3, -2,-2) = S'(3,-4)
T(-2,1) → T'(-2+3 , 1-2 ) = T'(1,-1)
As a result, the vertices' coordinates after translation are Q'(4,1), R'(6,-5), S'(3,-4) and T' (1,-1).
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I need help quick
A number q multiplied by 1/4 is greater than -16.
Answer:
q*1/4>-16
Step-by-step explanation:
x/3 =-8 x=? what does x =?
Answer: -24
Step-by-step explanation:
\(\frac{x}{3}=-8\\\frac{x}{3}(3)=-8(3)\\ x=-24\)