0.2 or 2/9 in fraction form I believe.
8
Three friends, Cleopatra, Dalila and Ebony go shopping.
The money they each have is in the ratio
Cleopatra : Dalila : Ebony = 5:7:8.
Cleopatra has $17.
(a) How many dollars do they have in total?
(b) Dalila spends $12 on a hat.
How many dollars does she have left?
(CIE Paper 1, Nov 2005)
Total number of parts = 5 + 7 + 8 = 20
Let the sum of the money with them be = x
Cleopatra has =
= 5/20 of x = $17
= 5/20x = 17
= 1/4x = 17
= 1x = 17 × 4 ( transposing ÷4 from LHS to RHS changes ÷4 to ×4 )
= x = 68
Therefore , they have $68 in total .
Solution (b) :Total number of parts = 5 + 7 + 8 = 20
Parts with Dalila = 7/20
Money with Dalila =
= 7/20 of 68
= 7/20 × 68/1
= 476/20
= 23.8
Dalila has $23.8 with her .
Money she spends on a hat = $12
Money left with her =
= 23.8 - 12
= 11.8
Therefore , Dalila has $11.8 left with her , after she buys a hat .
Solution to the problems in the comment box :-
Solution (1) :Ratio of cement to sand to aggregate to water = 2:5:8:1
Total parts = 2 + 5 + 8 + 1 = 16 parts
Number of parts for aggregate = 8/16
Then the aggregate needed by Bobbie =
= 8/16 × 1.2
= 1/2 × 1.2
= 1.2 as a fraction will be 6/5
= 1/2 × 6/5
= 6/10
6/10 as a decimal = 0.6
Therefore , Bobbie needs 0.6 cube of meter .
Solution (a) :Cement : sand : aggregate : water = 2:5:8:1
Total parts = 16
Number of parts for cement = 5/16
Let the quantity of concrete be = x
Then ,
Cement =
= 5/16 of x
= 5/16x = 0.25 meter cube
= x = 0.25 × 16/5
= x = 25/100 × 16/5
= x = 1/4 × 16/5
= x = 16/20
= x = 4/5
4/5 as decimal = 80/100 = 0.08
Cement needed by Eddie = 0.08 cubic meter .
Quantity of water Eddie will need =
= 1/16 × 0.08
= 1/16 × 80/100
= 1/16 × 8/10
= 8/60
= 0.13
Water needed by Eddie = 0.13 cubic meter .
Quantity of aggregate needed by Eddie =
= 8/16 × 80/100
= 1/2 × 8/10
= 8/20
= 40/100
= 0.04
Aggregate needed by Eddie = 0.04 cubic meter .
Quantity of sand Eddie will need =
= 5/16 × 80/100
= 5/16 × 8/10
= 40/160
= 0.25
Quantity of sand needed by Eddie = 0.25 cubic meter .
Therefore , Eddie will need 0.25 cubic meter of sand , 0.04 cubic meter of aggregate ,0.13 cubic meter of water along with 0.25 cubic meter of cement to make concrete .
Solution (b) :When water and aggregate has been added the quantity of concrete =
= 0.13 + 0.04
= 0.07
Therefore , when water and aggregate has been added the quantity of concrete will be 0.07 cubic meter .
m= 4/5 - 2/5
————- = ?
-1 - -2
Answer:
2/5 = 4/5 - 2/5 = m
Will give BRAINLIEST if right!
Find f(1/2) for f(x) = -3x^3 + 2x^2
Please answer quickly!
Find the equation of the line.
Y=__x + __
Answer:
y = 3x + 3
Step-by-step explanation:
Using slope intercept form: y = mx + b
where m is the slope(rise over run/change in y over change in x), and b is the y intercept(point where x is 0). We can derive the equation by simply using our mathmatical principles of slope and y intercept. Because our y intercept is where x is 0. Our y intercept is 3 since x is 0 when y is 3 because it touches the axis. Since y is 6 when x is one.
y = mx + b
6 = m(1) + 3
-3 -3
_________
3 = m
_________
m = 3
_________
An m of 3 means that you rise 3 every 1 run or 3y every 1x.
Therefore, our equation in slope intercept is:
y = 3x + 3
HELP I ONLY HAVE 5 MINUTES TO TURN THIS IN, ILL MARK U AS BRAINLIEST
Answer:
That ain't gonna fit in the box because the side is 19.3cm and the side of the box is 15 cm,also its to tall
Min Jee wants to build a small patio. It will be 70 inches long and 49 inches wide. She can't decide whether to use brick or concrete paver stones. Each brick covers an area of 3 1/2inches by 7 1/2 inches and costs $0.59. Each paver covers an area 8.4 inches by 8.4 inches and costs $1.88. Which would be less expensive to use, and by how much?
Step-by-step explanation:
firstly, let us solve for the area of the patio, from the information given the patio we have a rectangular orientation.
Area of patio
length=70in
width=49in
Area=70x49
Area=3430in^2
Area of brick
length=7.5in
width=3.5in
Area=7.5x3.5
Area=26.25in^2
Amount of brick needed =3430/26.25
Amount of brick needed =130.66
The Total cost of brick=130.66x0.59
The Total cost of brick=$77.09
Area of paver
length=8.4in
width=8.4in
Area=8.4x8.4
Area=70.56in^2
Amount of brick needed =3430/70.56
Amount of brick needed =48.61
The Total cost of brick=48.61x1.88
The Total cost of brick=$91.38
Brick would be less expensive by =91.38-77.09= $14.29
Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and knitting needles was $69. Tamara writes an equation that represents the cost of each pair of knitting needles. If k represents the cost of each pair of knitting needles, which statements about verifying the value of k are true? Check all that apply.
Tamara should substitute k = 30 into the equation 39 + 2 k = 69.
After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is equal to the right side.
Tamara should substitute k = 15 into the equation 39 + 2 k = 69.
After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is not equal to the right side.
To verify the solution to the equation, Tamara multiplies the solution by 2 and then adds it to 39. Then, she checks that it is equal to 69.
To verify the solution to the equation, Tamara adds the solution to 2 and then adds it to 69. Then, she checks that it is equal to 39.
Answer: 1,3,5
Step-by-step explanation:
Just took the quiz
Answer:
2,3,5
Step-by-step explanation: i got it right on my test
i hope this helps sorry if it didn't
B. In Buffalo, New York, the temperature was -14°F in the morning. If the temperature
dropped 7°F, what is the temperature now? ( 1 mrks)
Answer:
-21
Step-by-step explanation go up in negitive #s just stay in negitive
-14,-15,-16,-17,-18,-19,-20,-21!
A group of students must collect at least $ 150 to organize a science fair. They have alre that the students should still collect to organize the Science fair? O -210-180-150-120-9060-30 30 60 90 120 150 180 210 -210-180 -150-120-90 90-60-30 0 30 60 90 120 150 180 210 O -210-180-150-120 90 -60-30 0 30 60 90 120 150 180 210 O H -210-180-150-120 90 60 30 0 30 60 90 120 150 180 210
THE ANSWERS (B.) i took the test surprisingly got it right
Answer:
it is b
Step-by-step explanation:
hope it helps
Triangle ABC is transformed to form triangle XYZ. If AC = BC and the perimeter of triangle ABC is 37 inches. What are the lengths of the sides of triangle XYZ that would make triangle ABC congruent to triangle XYZ?
Answer: xy=11 in.; yz= 13 in.; xz=13in.
Step-by-step explanation:
i’m pretty sure that’s it
Miss sally waited on a large at the chesterfield Restaurant. The party bill totaled $110.00. As the party was pleased with the service they received, they tipped Miss sally 20% what amount did miss sally receive as her tip ? Explain your answer
Answer: $22.00
Steps: Miss Sally received $22.00 as her tip. Multiply 110 by .20 to find the percent she received.
plz mark brainliest:)
What is the next fraction in this sequence? Simplify your answer. 3/20 , 3 /10 , 9 /20, 3/ 5 , ___ .
Answer:
the next fraction is 3/4
Answer:
3/4
Step-by-step explanation:
The sequence is added on 3/20.
If you don't simplify 3/5 you get 12/20 add 3/20 to get 15/20.
Then simplify to get 3/4.
HELP PLZZZ ITS DUE IN LIKE 5 MINS
Answer:
8
Step-by-step explanation:
It is giving you the Y so just look horizontal where the linear hits it
SOLVE PLS I WILL GIVE BRAINIEST AND 5 STARS
Solve for b:
3.5b + (-8) = (-6.25b) - 6.5
Solve for x:
-5x + 3 > (-7x) - 12
Answer:
1)b=0.153846
2)x > -15/2
Step-by-step explanation:
I used this site called math-
way
Question 40 of 47
What are the solutions to the quadratic equation below?
12x^2+4x-5=0
HELP MEH BRAINLIEST ANSWERS
Answer:
Not sure if this has been answerd but its 6
Step-by-step explanation:
if u are really gonna give brain that would be cool
Kevin and monica lead visitor tours at a museum. Last month, both kevin and monica led the same number of vistors. Kevin lead 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, which equation could be used to determine the number of students in each group?
Answer:
Number of students in each group = 8
Step-by-step explanation:
kevin and monica led the same number of vistors.
Let x = number of students in each group
Kevin lead 150 adults, plus 6 student groups.
150 + 6x
Monica led 134 adults, plus 8 student groups.
134 + 8x
Equate both equations
150 + 6x = 134 + 8x
Collect like terms
150 - 134 = 8x - 6x
16 = 2x
Divide both sides by 2
x = 16 / 2
= 8
x = 8
Number of students in each group = 8
8-d≥-3d+4 solve the inequality
Answer:
[tex]d \geqslant - 2[/tex]
Step-by-step explanation:
[tex]8 - d \geqslant - 3d + 4 \\ 2d \geqslant - 4 \\ d \geqslant - 2[/tex]
If Karis can run 1 mile in 10 minutes, how many
miles could he run in 1 hour at this same rate?
Answer:
6 miles per hour or 6 miles
Step-by-step explanation:
If Karis can run 1 mile in 10 minutes, how many miles could he run in 1 hour at this same rate?
1 mile = 10 minutes
there are 60 minutes in 1 hour
10 minutes × 60 minutes = 6
6 × 1 mile = 6 miles so the answer is 6 mile per hour
At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after
t
t hours of snow falling?
Answer:
y= 11+t.05. t= hours of snow
-------------------
y= 11 + 5 (.05)
y= 11 + 2.5
y= 13.5
What is the value of a such that the point (a, 4) is part of the solution set for the equation 4x + 2y
36?
-8
-2
7
10
Answer:
7
Step-by-step explanation:
Given expression:
4x + 2y = 36
coordinates = (a,4)
Solution:
From the given coordinates;
x = a
y = 4
4x + 2y = 36
Substitute for the values and find "a"
4a + 2(4) = 36
4a + 8 = 36
4a = 36 - 8
4a = 28
a = 7
The solution is 7
Pauline orders wristbands from two different companies. • Company 1 sells each wristband for $2 and has free shipping. Company 2 sells each wristband for $1.25 and charges $6 for shipping per order. Write an equation to model the number of wristbands, w, for which the two companies charge the same amount.
Answer:
8 wristbands
Step-by-step explanation:
Let us assume that both of the company were ordered to deliver w wristbands.
The amount of money charged by company 1 who sells at $2 and offers free shipping is given as:
2w
The amount of money charged by company 2 who sells at $1.25 and $6 for shipping per order given as:
1.25w + 6
If both companies charge the same amount, hence:
2w = 1.25w + 6
2w - 1.25w = 6
0.75w = 6
w = 6/0.75
w = 8
The two companies charge the same amount for 8 wristbands
In January Mr Patel's electricity meter reading is 36 517. During the next three months he uses 1 084 units of electricity. a) What is the reading on his meter at the end of these three months? b) In Janurary Mr Patel'a gas meter reading is 51 314. Three months later it is 51 809. How many units of gas has he used? c) Electricity costs 12 pence per unit. Gas costs 8.6 pence per unit. Work out the total cost of Mr Patel's gas and electricity for these three months. Give your answer in pounds.
Answer: 172.65 pound
Step-by-step explanation:
a. What is the reading on his meter at the end of these three months?
January's electricity meter reading = 36,517.
Electricity used for next three months = 1 084 units
Meter reading at the end of the three months will be:
= 36517 + 1084
= 37601
b. In Janurary Mr Patel'a gas meter reading is 51 314. Three months later it is 51 809. How many units of gas has he used?
This will be:
= 51,809 - 51,314
= 495 units
c. Electricity costs 12 pence per unit. Gas costs 8.6 pence per unit. Work out the total cost of Mr Patel's gas and electricity for these three months.
Electricity used for next three months = 1 084 units
Gas used for next three months
= 495 units
Cost = (1084 × 12pence) + (495 × 8.6 pence)
= 13008 pence + 4257 pence
= 17265 pence = 172.65 pound
I don’t understand please help
Answer:
yes it is i think don't sew meh if im wrong
Step-by-step explanation:
the farm covers an area of 13square miles. The farm is divided into 4 equal sections, as shown in this diagram. What is the area, in square miles, of each section?
Answer:
p[
Step-by-step explanation:
p[
Solve the equation.
24 – 3x = 2x – 1
A. x = 4
B. x = 5
C. x = 6
D. x = 25
what is the point if (2,0) gets rotated 180° clockwise
Answer:
The point is (0,-2)
help me please, it’s urgent. i know how to solve this but how does the equation go?
Answer:
Equation:
10x-5= 4x+25
And x=5
What is the reflection?
Answer:
u' = (-1, -4) , v' = (2, -4), w' = (2, -7)
Step-by-step explanation:
Jessica is riding a taxi and is being charged the same rate
per mile traveled
• After 1 mile, she owes $8
• After 2 miles, she owes $14
• After 3 miles, she owes $20
Which function represents the amount she owes after riding
n miles?
Select one:
A: A(n) = 6 - 8
B: A(n) = 6n + 14
C: A(n) = 8
D: A(n) = 6n + 2
Answer:
D
Step-by-step explanation:
Answer:
D: A(n) = 6n + 2
Step-by-step explanation:
A is incorrect because: A(1)= 6(1)-8 is equal to -2 not 8
B is incorrect because: A(1)= 6(1)+14 is equal to 20 not 8
C is incorrect because: A(2)= 8(2) is equal to 16 not 14
D is correct because: A(1)= 6(1)+2 is equal to 8 which is correct,
A(2)=6(2)+2 is equal to 14 which is correct,
A(3)=6(3)+2 is equal to 20 which is also correct
Hope this helps