Answer:
£16, £40, £64
Step-by-step explanation:
sum the parts of the ratio, 2 + 5 + 8 = 15 parts
Divide the amount by 15 to find the value of one part of the ratio.
£120 ÷ 15 = £8 ← value of i part of ratio , then
2 parts = 2 × £8 = £16 ← amount Russell gets
5 parts = 5 × £8 = £40 ← amount Sarah gets
8 parts = 8 × £8 = £64 ← amount Terry gets
Answer:
$16, $40, $64
Step-by-step explanation:
The ratio is 2:5:8. Altogether, this adds up to 15. So they divided $120 into 15 portions. 120/15=8.
Russel got 2 portions of 8 dollars, Russel got $16
Sarah got 5 portions of 8 dollars, Sara got $40
Terry got 8 portions of 8 dollars, Terry got $64
Emily has pledged to start a healthy lifestyle and so she started walking to keep fit. On Monday, she walked 2/4 of a mile, and on Tuesday she walked 5/6 of a mile. How far did she walk in her first two days of exercise?
Quickkkkkk
Answer:
1 [tex]\frac{1}{3}[/tex] miles.
Step-by-step explanation:
2/4 + 5/6 = ?
We must convert these fractions to the same denominator so we can add fractions. Least common multiple of 4 and 6 is 12.
2/4 = 6/12
5/6 = 10/12
6/12 + 10/12 = 16/12
16/12 = 4/3
4/3 = 1 [tex]\frac{1}{3}[/tex]
a) Model this situation with a linear system:
To rent a car, a person is charged a daily rate and a fee for each kilometre driven. When Chena
rented a car for 6 days and drove 320 km, the charge was $286.00. When she rented the same car
for 10 days and drove 900 km, the charge was $605.00.
b) Determine the daily rate and the fee for each kilometre driven.
Answer:
The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.
Step-by-step explanation:
Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:
286 = 6 days and 320 km
320/6 = 53,333 km
286/6 = $ 47,666
Thus, the value of 1 day and 53,333 km is $ 47,666.
605 = 10 days and 900 km
900/10 = 90 km
605/10 = $ 60.5
Thus, the value of 1 day and 90 km is $ 60.5.
90 - 53,333 = 36,666
60.5 - 47.666 = 12.833
12,833 / 36,666 = value per kilometer traveled
0.35 = value per kilometer traveled
(286 - (0.35 x 320)) / 6 = X
(286/112) / 6 = X
174/6 = X
29 = X
(605 - (0.35 x 900)) / 10 = X
(605 - 315) / 10 = X
290/10 = X
29 = X
Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.
what is the value of J
Answer:
Step-by-step explanation:
Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,
2j + 32 + 6j - 2 + 30 = 180 and
8j + 60 = 180 and
8j = 120 so
j = 15
In Sean's class there are 13 boys and 16 girls. Sean will randomly pull one of their names out of a hat to give
a presentation to the class. Which of the following is the probability the student picked will be a girl?
(1) 0.45
(3) 0.62
(2) 0.55
(4) 0.81
Answer:
0.62
Step-by-step explanation:
it is because the number of girls in the class is larger than the number of boys in the class which means the probability is high
The probability of picking a girl is 0.55.
What is probability?'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'
According to the given problem,
Number of boys = 13
Number of girls = 16
Total number of students = 13 + 16
= 29
Probability = [tex]\frac{Favorable events}{Total number of events}[/tex]
= [tex]\frac{16}{29}[/tex]
= 0.55
Hence, we can conclude, the probability of picking a girl is 0.55.
Learn more about probability here: https://brainly.com/question/9793303
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Use the figure below, If m
Answer:
m anglw ABD answers is 50 degree
what are the two greatest common factors in 28 and 10
m∠RST =______because they are __________ (Fill in the blanks)
Answer:
∠RST = ∠SRU because they are alternate angles.
Step-by-step explanation:
Hope it helps .
Convert 150 base 10 to a binary
number.
Answer:
10010110
Step-by-step explanation:
A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:
10000000
Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:
10010000
We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:
10010100
What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:
10010110
parallel lines
EF and CD
perpendicular lines
GH and EF
neither parallel nor
perpendicular lines
AB and CD
Answer:
[tex]{ \tt{AB || CD}} \: \: they \: are \: parallel. \\ { \tt{AB \:and \: EF}} \: \: are \: perpendicular \\ { \tt{CD \: and \: EF}} \: \: are \: perpendicular \\ { \tt{GH \: is \: neither \: parallel \: nor \: perpendicular \: to \: any \: other \: line}}[/tex]
CAN SOMEONE PLEASE ANSWER THESE TWO QUESTIONS?! I NEED HELP!
Answer:
B ; A
Step-by-step explanation:
1) The first operation that we have to do is the division
2) we have to added up the the fishes
Pls I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!
Answer:
Question 1: 75 minutes
Question 2: 4:07
Question 3: 30 minutes
Question 4: 8:35
Step-by-step explanation:
An hour is sixty minutes; that's the key to solving these questions.
The time basketball was played is 75 minutes or 1 hour 15 minutes
The time I get home is at 4:07
The cook was cooked for 30 minutes.
The cheerleading was over at 8:35.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
We have,
Trey and Na Asia played basketball from 10:30 - 11:45.
From 10 to 11 we have 60 minutes.
= 60 minutes - 30 minutes [10:30] + 45 minutes [ 11:45]
= 105 minutes - 30 minutes
= 75 minutes
The time basketball was played.
= 75 minutes
= 1 hour 15 minutes
I left school at 3:15 on the bus. I got home 52 minutes later.
1 hour = 52 minutes
= 3:15 + 52 minutes
= 3 + 15 minutes + 52 minutes
= 3 + 67 minutes
= 3 + 1 hour + 7 minutes
= 4:07
The time I get home is at 4:07
Antavious makes Macaroni and cheese. He begins making it at 6:35 and finished at 7:05.
= 6:35 to 7:05
From 6 to 7 we have 60 minutes.
So,
= 60 minutes - 35 minutes [6:35] + 5 minutes [7:05]
= 65 minutes - 35 minutes
= 30 minutes
The cook was cooked for 30 minutes.
Makhiya and Madison went to cheerleading at 7:15. It was over 1 hour and 20 minutes later.
= 7:15 + 1 hour + 20 minutes
= 7 + 15 minutes + 1 hour + 20 minutes
= 8 + 35 minutes
= 8:35
The cheerleading was over at 8:35.
Thus,
The time basketball was played is 75 minutes or 1 hour 15 minutes
The time I get home is at 4:07
The cook was cooked for 30 minutes.
The cheerleading was over at 8:35.
Learn more about unit conversion here:
https://brainly.com/question/13899873
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find the surface area of the square pyramid
1. 26 ft²
2. 36 ft²
3.40 ft²
4. 56 ft²
Answer:
4. 56 ft²
Step-by-step explanation:
SA = (4×4)+(4×½×4×5)
= 16+40
= 56
Math a challenging subject, sigh...
write a linear equation in one variable for each of the following situations:
Answer:
i. y = 4
ii. p = 45
iii. m = 5
Step-by-step explanation:
(a) In triangle PQR, PQ = QR. So that,
Perimeter = PQ + PR + QR
40 = (2y + 3) + (5y - 2) + (2y + 3)
= 2y + 3 + 5y - 2 + 2y + 3
40 = 9y + 4
40 - 4 = 9y
36 = 9y
y = [tex]\frac{36}{9}[/tex]
y = 4
(b) The age of Rahim's father is p years. Since he is 29 years older than Rahim, we have;
p = 16 + 29
p = 45
Rahim's father is 45 years old.
(c) Cost of a chair = RM 5.90
Cost of m chairs = RM 5.90 x m
= RM 5.90m
Amount paid = RM 50 - RM 20.50
= RM 29.50
Thus,
RM 5.90m = RM 29.50
5.90m = 29.50
m = [tex]\frac{29.50}{5.90}[/tex]
= 5
m = 5
The number of units of chairs bought is 5.
The volume of the triangular prism is 54 cubic units.
A triangular prism with a volume of 54 cubic units is shown. The triangle has a base length of 4 and a height of x. The height of the prism is 3 x.
What is the value of x?
3
5
7
9
Answer:
The answer is 3
Step-by-step explanation:
Segment Addition Postulate
Using the following image, solve for x.
Answer:
Here,
CD + DE = CD
x+10 + x+4 = 8
2x + 14 = 8
2x= -6
x= -3
pls help plsssss sss sss sss s
25√2
Step-by-step explanation:
Since angle BAC and angle ABC are equal, AB = BC.
Let x = AB = BC
By the Pythagorean theorem,
AB² + BC² = AC²
x² + x² = 50²
2x² = 2500
x²= 1250
x = √1250
x = √(2 • 625)
x = √2 • √625
x = √2 • 25
x = 25√2
x = AB = 25√2
THIS IS TO HELP OTHER PEOPLE IF THEY FIND THIS QUESTION THIS QUESTION IS ALREADY CORRECT
What is the value of this expression?
[(3+5)⋅2−5]⋅3
Enter your answer in the box.
Someone pls help me :p
Which is an irrational number?
It’s question number 5 pls
Answer:
A.
Step-by-step explanation:
An irrational number is a number that goes on forever without repeating. The square root of 2 does exactly this.
I have to solve for x in a diagram. it is a right triangle, cut into a smaller right triangle and a trapezoid. The cut measure 6, the height of the triangle is 12, and the known part of the base is 9. X is the rest of the base.
in isosceles Triangle RST below what is the value of y
Answer:
second option
Step-by-step explanation:
y + y + 38 = 180 degree ( sum of interior angle of a triangle is 180 degree)
2y = 180 - 38
y = 142/2
y = 71 degree
Answer:
71 degrees
Step-by-step explanation:
Hi there!
All the interior angles of a triangle add up to 180 degrees.
Knowing this, we can construct the following equation:
[tex]180=y+y+38\\180=2y+38[/tex]
Subtract 38 from both sides
[tex]180-38=2y+38-38\\142=2y\\71=y[/tex]
I hope this helps!
Will give branliest
Find l.
l= [?] in
A rectangle measures 15 cm by 10 cm is given, if the length of side is
increased by 20%, find the increase of area in percentage.
Answer:
20 % increase in Area
Step-by-step explanation:
1. Original Rectangle Area = 150cm ²
2. 20% of 15 is 3
3. Increased length is equal to 18
4. Increased Rectangle Area = 180cm ²
5. Ten percent of 150 = 15.
6. 15x2(ten percent) = 30. Which give us 150+30 equal to 180.
7. 2 ten percent equals 20%
8. Answer is 20%.
Which segments have equal
lengths?
The segment that has equal length are known as congruent segment
Answer: corresponding segments
Step-by-step explanation:
I need the answers and it's due today, please help
Answer:
1. 3
2. 1
3. 2
4. 4
5. 5
Step-by-step explanation:
Use one of your new conjectures to find the lettered angles measures.
t+p =
Diagram attached
Answer:
72 degrees
Explanation:
From the diagram, angle on a straight line add up to 180 degrees.
180 degrees - 144 degrees = 36 degrees.
Sum of the angles in a triangle= 180 degrees
Angles x and the other are congruent(the marks from the diagram indicate).
Therefore sum of the congruent angles= 180 degrees - 36 degrees = 144 degrees
Angle x= 144/2= 72 degrees
What is the area of this figure? Round to the tenth if necessary.
Answer:
b) 850.1 centimeters.Step-by-step explanation:
To find the area of this figure, we must first find the areas of the shapes that compose this figure.
This figure is made up of a rectangle and a semicircle.
Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.
[tex]a=\pi r^2/2[/tex]
3.14 will be used for pi!
To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.
[tex]a=lw[/tex]
Now, let's solve.
The diameter of the semicircle is 32 centimeters.
To find the radius of a semicircle, divide the diameter by 2.
[tex]32/2=16[/tex]
The radius of the semicircle is 16 centimeters.
Now that we have the radius, we can find the area of the semicircle.
[tex]\pi 16^2/2=401.92[/tex]
The area of the semicircle is 401.92 centimeters.
Furthermore, we find the area of the rectangle.
[tex]14*32=448.[/tex]
The area of the circle is 448 centimeters.
Next, we add the areas of both shapes to find the area of this figure.
[tex]401.92+448[/tex]
[tex]=849.92[/tex]
The final step is to round 849.92 to the nearest tenth.
Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'
I, therefore, believe the area of this figure is 850.1 centimeters.
give me one secondddd..
Answer:
mark me as a brainleast
Step-by-step explanation:
iam not undeerstand on your qiestion write it beautiful words
which of the following is the result of the equation below after completing the square and factoring x^2+3x+8=6
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{x^2 + 3x + 8 = 6}[/tex]
[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]
[tex]\mathsf{x^2 + 3x + 8 - 6 = 6 - 6}[/tex]
[tex]\mathsf{8 - 6 = \boxed{\bf 2}}[/tex]
[tex]\mathsf{6 - 6 = \boxed{\bf 0}}[/tex]
[tex]\mathsf{x^2 + 3x + 2 = 0}[/tex]
[tex]\large\textsf{FACTOR the LEFT SIDE OF THE EQUATION}[/tex]
[tex]\mathsf{(x + 1)(x + 2) = 0}[/tex]
[tex]\large\textsf{SET EACH FACTORS to EQUAL 0}[/tex]
[tex]\mathsf{x + 1 = 0 \ OR \ x + 2 = 0}[/tex]
[tex]\large\textsf{SOLVE the EQUATIONS ABOVE and YOU HAVE YOUR x-values}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = -1 or x = -2}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Question 10 Multiple Choice Worth 1 points)
(01.06 MC)
James fenced in his backyard. The perimeter of his fence is 20 feet, and the width of his yard is 2 feet wide. Use the perimeter formula to find the length of his rectangular yard
in inches: P2L+2W.
Answer:
Length = 8 feet
Step-by-step explanation:
Perimeter = 2 x ( length + width )
20 = 2 x (length + 2)
10 = Length + 2
10 - 2 = Length
Therefore, Length = 8 feet
