Answer:
8:00
Step-by-step explanation:
He will only take 3 rest periods, each of which last 30 minutes so he rests for 1 hour 30 minutes. Because the route takes 9 hours without rests, the duration with rests is 1 hour 30 minutes + 9 hours = 10 hours 30 minutes. 18:30 - 10:30 = 8:00.
The value of ahmeds car decreased by 35% last year what multiplier should he use to find the value of his car at the end of last year and if ahmed car was worth 12000 at the beginning of last year what was it worth at the end of last year
Answer:
Multiplier = 0.65
Value at the end of the year = 7,800 monetary units
Step-by-step explanation:
If his car decreased in value by 35%, in order to find the value of his car at the end of last year, multiply the original value by (1 - 35%) or:
[tex]1-35\%=1-0.25=0.65[/tex]
The multiplier that should be used is 0.65.
The value of Ahmed's car at the end of last year was:
[tex]V=12,000*0.65\\V=7,800[/tex]
The car was worth 7,800 monetary units at the end of last year.
Find the number if: 5/9 of it is 90 PLEASE EXPLAIN
Answer:
The number is 162Step-by-step explanation:
Let the number be x
5/9 of the number is 90
Which is
5/9 of x = 90
5/9 × x = 90
5/9x = 90
Multiply through by 9
That's
5x = 810
Divide both sides by 5
5x/5 = 810/5
x = 162
Therefore the number is 162
Hope this helps you
Find the area of a trapezoid with bases of 5 feet and a 7 feet, and a height of 3 feet a. 18 b. 36 c. 72 d. 40
Answer:
The answer is option A. 18Step-by-step explanation:
Area of a trapezoid = 1/2(a + b) × h
where
h is the height
a and b are the other sides
From the question
h = 3 feet
a = 5 feet
b = 7 feet
Area = 1/2(5+7) × 3
= 1/2 ( 12) × 3
= 6 × 3
The answer is
= 18
Hope this helps you.
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify Q + S - T.
-8m - 7n - 3
8m + 7n - 3
-8m + 7n - 3
8m - 7n - 3
Answer:
The second: 8m + 7n - 3Step-by-step explanation:
Q = 7m + 3n,
R = 11 - 2m,
S = n + 5,
T = -m - 3n + 8.
Q + S - T = 7m + 3n + (n + 5) - (-m - 3n + 8)
Q + S - T = 7m + 3n + n + 5 + m + 3n - 8
Q + S - T = 8m + 7n - 3
graph the parobola. y=4x^2-7
Answer:
Step-by-step explanation:
y=4x^2-7
vertex(0,-7)
A new pair of sunglasses is regularly priced at $130.00. What
will the price be after at 35% discount? *
Answer:
$ 84.50
Step-by-step explanation:
Regular price = $130
Discount = 35% of 130
= [tex]\frac{35}{100}*130[/tex]
= 0.35 * 130
= $ 45.50
Price of the sunglasses after discount = Regular price - discount
= 130 - 45.50
= $ 84.50
The lengths of the sides of a triangle are 9, 12, and 18. Classify the triangle as acute, right, or obtuse.
Answer:
Step-by-step explanation:
Use Pythagorean theorem.
Assign the largest value to 'c'
If a² + b² = c² , then it is right triangle
If a² + b² > c², then it si acute triangle
If a² + b² < c² , then it is obtuse triangle
Here, a = 9 , b = 12 & c = 18
a² + b² = 9² + 12²
= 81 + 144
a² + b² = 225
c² = 18²
c² = 324
a² + b² < c²
225 < 324
So, 9, 12 , 18 form a obtuse triangle
find the value of a and b for which the system of equations has infinitely many solutions : 2x + 3y = 7 ; (a-b)x + (a+b)y = 3a + b - 2
Answer:
a= 5 and b=1
Step-by-step explanation:
To solve, we will follow the steps below:
2x + 3y = 7
(a-b)x + (a+b)y = 3a + b - 2
We should note that since it has infinitely many solutions then,
[tex]\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }[/tex]
Hence
2/a-b = 3/a+b = 7/3a +b-2
2/a-b = 3/a+b
cross-multiply
3(a-b) = 2( a+b)
open the bracket
3a - 3b = 2a + 2b
collect like term
3a - 2a = 2b + 3b
a = 5b -------------------------------------------(1)
Similarly
3/a+b = 7/3a +b-2
cross-multiply
7(a+b) = 3(3a+b -2)
7a + 7b = 9a + 3b -6
take all the variables to the left-hand side of the equation
7a - 9a+ 7b-3b = -6
-2a + 4b = -6 ---------------------------------(2)
but a = 5b
substitute a= 5b in equation (2) and solve for b
-2(5) + 4b = -6
-10 + 4b = -6
add 10 to both-side of the equation
-10 + 10+ 4b = -6+10
4b = 4
divide both-side of the equation by 4
b = 1
substitute b= 1 in equation (1)
a = 5b
a =5(1)
a=5
Therefore, a= 5 and b=1
I SHALL NAME THEE BRAINLIEST!! (: Pls help me. (#1) 4A - 1 = 3A + 8 solve and check (#2) 1 + F + 3 + F = F + 5 solve and check (#3) Naomi had B bushels of grain. After Ruth brought her 5 more bushels of grain, she had 11 bushels in all. How much grain did Naomi have to start with? Write an equation and solve.
Answer: #1 A=9 #2 Naomi started with 6 bushels
Step-by-step explanation:
4A-1 = 3A + 8 Subtract 3A from both sides 4A -3A -1 = 3A-3A + 8 to get
A -1 = 8 Add 1 to both sides A -1 + 1 = 8 + 1 to get
A = 9 . Check by substituting 9 in place of A
4(9) - 1 = 3(9) + 8 multiply: 4×9 = 36 . 3×9=27
36 -1 = 27 + 8 do the subtraction and addition
35 = 35 .True.
Part 2: The original number plus 5 equals 11
B + 5 = 11 . . Subtract 5 from both sides
B +5 -5 = 11 -5
B = 6
Check: If she started with 6 bushels and added 5 bushels, she would have 11 bushels all together. True.
Please help meeeee thanks
Answer:
A)21
B) 70
C)89
Step-by-step explanation:
Answer:
b=70°a=21°c= 89°Step-by-step explanation:
b=180° - 110° =70°
a = 21°
C= 180° - b - a= 180 - 70 - 21= 89°
[tex]good \: luck[/tex]
b) The product of two positive numbers is 56. If their difference is 10, find the
numbers
Answer:
14 and 4
Step-by-step explanation:
xy = 56
x - y = 10
x = 10 + y
(10+y)y = 56
10y + y² = 56
y² + 10y - 56 = 0
(y-4)(y+14) = 0
y - 4 = 0
y = 4
y + 14 = 0
y = -14
y is a positive integer so y = 4.
x - 4 = 10
x = 14
The two numbers whose product is 56 and difference is 10 are 14 and 4
A = 14
B = 4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first number be = A
Let the second number be = B
The product of two numbers is = A x B
The difference of two numbers is = A - B
Now , the equation is
A x B = 56
A - B = 10
Now ,
( A - B )² = A² + B² - 2 ( A x B )
Substituting the values of A and B in the equation , we get
100 = A² + B² - 112
Adding 112 on both sides , we get
A² + B² = 212
When A = 14
B² = 212 - 196
B² = 16
So , B = 4
Therefore , the value of A is 14 and value of B is 4
Hence , The two numbers whose product is 56 and the difference is 10 are 14 and 4
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The probability that an event will occur is fraction 1/8. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer:
Unlikely
Step-by-step explanation:
Certain= 100% chance of your event occuring.
Impossible = 0% chance of your event occuring.
Neither of these apply.
Likely= >50% = >4/8
Unlikely= <50% = <4/8
Unlikely
Each of the walls in Harvey’s shed are square and have an area of 84 square feet. What is the approximate height, to the nearest foot, of the walls in Harvey’s shed? A. 8 feet B. 9 feet C. 10 feet D. 21 feet
Answer:
B. 9 feet
Step-by-step explanation:
area = side^2
side^2 = 84
side = sqrt(84)
side = 9.2 ft
Each side of a wall measures 9.2 ft.
There are six equilateral triangles in a regular
O A. square
O B. polygon
O C. hexagon
O D. octagon
There are six equilateral triangles in a regular hexagon.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
A regular hexagon has six equal sides and six equal angles.
It can be divided into six equilateral triangles by drawing lines connecting the center of the hexagon to each vertex.
Each of these triangles has the same side length and angle measures.
A square has four sides and four right angles, but it is not a regular polygon because it does not have equal side lengths.
A polygon is a general term for a shape with three or more straight sides, but it does not refer to any specific shape or properties.
An octagon has eight sides and eight angles, but it cannot be divided into equilateral triangles because the angle measures are not all equal.
Thus,
There are six equilateral triangles in a regular hexagon.
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Find the length of a
The length of a in the diagram attached is : 22.18
Meaning of cosine ruleCosine rule is used in trigonometry. it is used to find a missing side when given two sides and an angle, or to find an angle given three sides.
The cosine rule is easy to comprehend and assimilate.
Applying the Cosine formula written as : [tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc cosA
the length of a is 22.18
In conclusion, the length of a using the cosine rule is : 22.18
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If an image of a triangle is congruent to the pre image what is the scale factor of the dilation
Answer:
1
Step-by-step explanation:
Because the pre image and dilated image are congruent, the scale factor is 1.
Graph this following function
Answer:
Please find attached the graph of the following function;
[tex]\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.[/tex]
Step-by-step explanation:
We note that the function is linear from x = 2 to just before x = 0
The linear relationship of the function f(x) with x changes just before x = 0
At x = 0, the value of f(x) is indicated as 1
From just after x = 0, the function is a straight horizontal line y = 3
The function also changes value immediately after x = 0 to the line y = 3
The areas where the function is defined are shown in continuous lines
A sample of 50 11th graders were asked to select a favorite pattern out of 6
choices. The data list below shows what their favorite color patterns were,
and the accompanying frequency table and bar graph represent these data. In
the bar graph, the height of the blue-gray bar is 4, the height of the green bar
is 9, and so on
Color Pattern
Frequency
Buong
Green
9
in podot
14
Purple
11
Red and orange
9
Yellow
3
Suppose that, rather than being just a bar graph, the display you see above is
a relative frequency bar graph. The vertical axis of the graph will be marked
off in percentages, from 0 percent up to 30 percent. What will be the height of
the purple bar
A. 11
B. 27
C. 30
D. 22
Answer:
27
Step-by-step explanation:
Since pink dots is the highest(30) and Purple is second highest so purple must be close to 30.
The requried, height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.
What is Statistic?Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
Since the vertical axis of the bar graph is marked off in percentages, we can determine the height of each bar by multiplying its frequency by 2, since 50 students were surveyed (i.e., 100% of the sample size).
The frequency of the purple color pattern is 11, so its height on the bar graph is 11*2 = 22.
Therefore, the height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.
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Sarah, Natasha and Richard share some sweets in the ratio 4:2:3. Sarah gets 13 more sweets than Richard. How many sweets are there altogether?
Answer:
117 sweets
Step-by-step explanation:
Please see attached picture for full solution. (model method)
S, N and R represents the number of sweets Sarah, Natasha and Richard have respectively.
Alternatively,
Let the number of sweets Sarah have be 4x.
Number of sweets Natasha have= 2x
Number of sweets Richard have= 3x
Sarah gets 13 more sweets than Richard
4x= 3x +13
4x -3x= 13
x= 13
Total number of sweets
= 4x +2x +3x
= 9x (simplify)
= 9(13) (subst. x=13)
= 117 sweets
Answer:
117 sweetsSolution,
Given ratio= 4 : 2 : 3
Sarah has 4x sweets.
Natasha has 2x sweets.
Richard has 3x sweets.
Given,
[tex]3x + 13 = 4x \\ 3 x - 4 x= - 13 \\ - x = - 13 \\ x = 13[/tex]
Now,
Total sweets:
[tex]4x + 2x + 3x \\ = 4 \times 13 + 2 \times 13 \times 3 \times 13 \\ = 52 + 26 + 39 \\ = 117 \: sweets[/tex]
Hope this helps..
Good luck on your assignment...
fill in the blanks with two consecutive integers to complete the following inequality.-____<√56<____
Answer:
Since 7 is √49 and 8 is √64 and 49 < 56 < 64 the answer is 7 < √56 < 8.
• A research scientist measures the outside temperature, in degrees Fahrenheit, at various
times throughout a 24-hour period and records her findings in the graph below. In this
real-world function, the hours represent the input values, and the temperature represents
the output values. Use the graph to identify the range of the function. Write your answers
using set notation. Then write a sentence to explain what the range represents in
this function
Answer:
{t|60 <= t <= 85}
Step-by-step explanation:
The temperatures were measures at different times, but does not stop the values being real numbers (i.e. not discrete, or integer values).
So the range of the function is the set of all values between the minimum and maximum measured during the measuring interval (domain) of hours two and twenty-two.
The minimum value = 60F
The maximum value = 85F
So the interval of the range is [60,85], in interval notation.
In set-builder notation, it is
{t|60 <= t <= 85}
The graph shows the rate at which the depth of the water in a pond is changing over time. On a coordinate plane, a graph titled Depth of Pond Water has Minutes on the x-axis and Feet on the y-axis. A line goes through points (2, 4) and (4, 8). The depth of the water is increasing by feet each minute.
Answer:
Step-by-step explanation:
The key to solving this question is to find the distance bwtween the two points given
distance=y2-y1/x2-x1
(2,4)(4,8)
2=x1,4=y1
4=x2
8=y2
8-4/4-2
4/2=2
The depth of the water is increasing by 2 ft each minute
Answer:
it is incresing by two feet each minute
Step-by-step explanation:
The sum of 54 anid six times a number is 216. Find the number.
Answer:
x = 27
Step-by-step explanation:
Step 1: Write out equation
54 + 6x = 216
Step 2: Solve for x
6x = 162
x = 27
Answer:
x=27
Step-by-step explanation:
54+6x=216
Collect like terms:
6x=216-54
6x=162
Divide both sides by the coefficient of x
6x\6=162\6
x=27
a rectangle is 12cm long and 9cm wide . calculate the length of the diagonal
Answer: 15 centimeters
Step-by-step explanation: You cut the rectangle into two triangles following the diagonal. You add 12 squared (144) and 9 squared (81) together. You get 225. You get the square root of 225 which is 15 and that is your answer. Basic solving for the hypotenuse.
If a rectangle is 12 cm long and 9 cm wide. The length of the diagonal will be 15 cm.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees.
A rectangle is 12 cm long and 9 cm wide.
Then the length of the diagonal will be
d² = 12² + 9²
d² = 144 + 81
d² = 225
d = 15 cm
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Please explain how you got your answer also. A class has 21 girls and 12 boys. What is the probability that a boy's name is drawn at random?
12 over 21
21 over 12
12 over 33
21 over 33
Selectie correct answer.
How many solutions for x does the following equation have?
2(x + 4) - 1 = 2x + 7
OA. 7
OB.
1
Ос.
infinite
OD. 0
Reset
Next
Answer:
OD.0
Step-by-step explanation:
because 2(X+4)-1 = 2x+7
or, 2x+8-1 = 2x+7
or, 2x+7= 2x+7
and it cancels out eachother so it will be 0
The equation 2(x + 4) - 1 = 2x + 7 has infinite solutions
How to determine the number of solutions?The equation is given as:
2(x + 4) - 1 = 2x + 7
Open the bracket
2x + 8 - 1 = 2x + 7
Evaluate the difference
2x + 7 = 2x + 7
Both sides of the equation are the same.
Hence, the equation has infinite solutions
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School administrators asked a group of students and teachers which of two
school logo ideas, logo A or logo B, they prefer. This table shows the results.
Logo A
Logo B
Total
Students
67
33
100
Teachers
11
14
25
Total
78
47
125
Are being a student and preferring logo A independent events? Why or why
not?
O A. No, they are not independent, because Astudent) = 0.8 and
A student|logo A) = 0 62.
B. No, they are not independent because P(student) = 0.8 and
A student logo A) 0.86.
C. Yes, they are independent because P(student) = 0.8 and
A student logo A) 0.86
D. Yes, they are independent, because student) = 0.8 and
A student logo A) = 0.62
Answer:
The events are not independent
[tex]P(S) = 0.8[/tex]
[tex]P(Logo\ A) = 0.62[/tex]
Step-by-step explanation:
Given
--------------Logo A --- Logo B ---Total
Students ----- 67----------33--------100
Teachers ----- 11 ----- ----- 14 ----- 25
Total ----- ------78-----------47--------125
Required
Determine if being a student and preferring logo A are independent events
Let P(S) represent probability of being a student
Let P(Logo A) represent probability of preferring logo A
Let P(S n Logo A) represent probability of being a student and preferring logo A
To determine if they are independent, we have to calculate
P(S), P(Logo A) and P(S n Logo A)
P(S) = Total Students / Total Population
[tex]P(S) = 100/125 = 0.8[/tex]
P(Logo A) = Total that prefers Logo A / Total Population
[tex]P(Logo\ A) = 78/125 =0.624[/tex]
P(S n Logo A) = Number of students that prefer logo A / Total Population
[tex]P(S\ n\ Logo\ A) = 67/125 = 0.536[/tex]
If the events are independent, then the following condition must be satisfied
[tex]P(S\ n\ Logo\ A) = P(S) * P(Logo\ A)[/tex]
Substitute the values of P(S), P(Logo A) and P(S n Logo A)
[tex]0.536 = 0.8 * 0.536[/tex]
[tex]0.536 \neq 0.4288[/tex]
Since they are not equal, then the events are not independent
[tex]P(S) = 0.8[/tex]
[tex]P(Logo\ A) = 0.62[/tex]
Answer: b
Step-by-step explanation: just took the quiz
A rectangle has a long side of 8.5 cm. Its perimeter is 24 cm How long is one side?
Answer:
(8.5+x)×2=24
8.5+x=12
x=3.5
Answer:
Breadth = 3.5cm
Step-by-step explanation:
Perimeter = 2L + 2B
24cm = 2(8.5) + 2B
2B = 24 - 17
B = 7÷2
B = 3.5
A cyclist travels at an average speed of 9 mph for 5 hours. How far did she travel in miles?
Answer:
45
Step-by-step explanation:
since the car goes 9mph and you are traveling for 5 hours you just multiply 9 by 5 and you get 45.
Identify the transformation on the figure shown.
A) rotation about the x-axis
B) rotation about the y-axis
C) reflection over the x-axis
D) reflection over the y-axis
Thank you
Answer:
It is a reflection over the y-axis (D)
Step-by-step explanation:
Each corresponding point is equidistant from the y-axis and follows the rule (x,y) turns to (-x,y). For example the point (1,1) is mapped to (-1,1) and both points are 1 unit away from the y-axis so we know that one is the reflection of the other.
Answer:
reflection over y axis
Step-by-step explanation:
did it on usatestprep and made a 100