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 .
- 2/3 × 3/5 + 5/2 - 3/5 × 1/6
Answer:
2
Step-by-step explanation:
(-2/3 x 3/5) + 5/2 - (3/5 x 1/6)
-2/3 x 3/5 = -6/15 = -2/5 (simplified)
3/5 x 1/6 = 3/30 = 1/10 (simplified)
Changed equation: -2/5 + 5/2 - 1/10
-2/5 x 2 = -4/10
5/2 x 5 = 25/10
Changed equation: -4/10 + 25/10 - 1/10
Answer: 20/10 = 2 (simplified answer)
34% x 79% pls help ill give brainliest
Answer:
0.2686
Step-by-step explanation:
It's basically just 34 times 79 lol
Answer:
0.2686
Step-by-step explanation:
Find the surface area of the prism
Answer:
SA = 5645cm²Step-by-step explanation:
We have three pairs of congruent rectangles
9cm × 4m; 9cm × 5cm and 4m × 5cm
We know 1m = 100cm, therefore 4m = 400cm
The formula of an area of a rectangle l × w:
A = l · w
Substitute:
A₁ = 9cm · 4m = 9cm · 400cm = 3600cm²
A₂ = 9cm · 5cm = 45cm²
A₃ = 4m · 5cm = 400cm · 5cm = 2000cm²
Calculate the surface area:
SA = A₁ + A₂ + A₃
SA = 3600cm² + 45cm² + 2000cm² = 5645cm²
Answer:
202cm²
Step-by-step explanation:
2×(5×9)+2(4×5)+2(9×4)
90+40+72=202cm²
(14+13n+3n^3)+(2+4n+9n^3)
Answer:
=12n3+17n+16
i hope this helps :)
What is the area of this figure?
13 in
6 in
8 in
s in
5 in
17 in
10 in
Write your answers using decimals, If necessary.
Answer:
If i am correct the area should 337inches..........
Step-by-step explanation:
my reason is becuase if you multiply these numbers
13* 6 = 78 and 8 * 8 = 64 and 10 * 17 + 170 and last 5 * 5 = 25
they you add 170+ 78 + 64 + 25 = 337inches so means the answer is 337 Your Welcome :D
How can you use linear relationships to compare real-world
situations?
Answer:
Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit.
Step-by-step explanation:
HELPPP
Given h(x) = 2x + 2, solve for x when h(x) = 4.
Answer:
x = 1
Step-by-step explanation:
2x + 2 = 4
2x = 2
x = 1
Chang rented a truck for one day. There was a base fee of 15.95, and there was an additional charge of 88 cents for each mile driven. Chang had to pay 210.43 when he returned the truck. For how many miles did he drive the truck?
Answer:
221 Miles
Step-by-step explanation:
Since there is a base fee, you substract that from the total.
210.43 - 15.95 = 194.48.
And since it was .88 per mile, you just divide 194.48 by .88 to get 221
A Star Wars replica of R2D2 cost $15995. It is on sale for 75% off. What is the discount?
Answer:
It is now 3,998.75
Step-by-step explanation:
0.75x15,995=11,996.25
15,995-11,996=3,998.75
Answer:
$3,998.75
Step-by-step explanation:
help please !!!!! no explanation needed
Answer:
Its D super easyyyyyyhFelipe has a flower bed with area 25/4 square feet. He expands the flower bed to have area 75/4 square feet. How many square feet of space does the larger flower bed have for every square foot of the smaller flower bed? Write your answer as a ratio (a:b) *
Answer: Required ratio= 3:1.
larger bed has 3 square feet of area of every 1 square feet on smaller bed.
Step-by-step explanation:
Given: Felipe has a flower bed with area [tex]\dfrac{25}4[/tex] square feet.
He expands the flower bed to have area [tex]\dfrac{75}4[/tex] square feet.
Now, area on larger flower bed for every square foot of the smaller flower bed = (area of larger bed) ÷ (area of smaller bed)
[tex]= \dfrac{75}{4}\div\dfrac{25}{4}=\dfrac{75}{4}\times\dfrac{4}{25}=\dfrac{3}{1}[/tex]
So, larger bed has 3 square feet of area of every 1 square feet on smaller bed.
Required ratio= 3:1.
Ashley and her sisters decide to split the cost of dinner, which is $26. By how much you will each sisters bank account be impacted
Answer:
$13.00 per person
Step-by-step explanation: you divide $26 by 2
Plz help What is the quotient of 2 1/4 and 5/8
A.5/18
B.9/16
C.3 3/5
D.2 7/8
Which values of a, b, and c correctly represent the answer in simplest form? PLEASE HELP I AM BEING TIMED TRYING TO HELP OUT MY LITTLE SISTER, I WILL MARK BRAINLIEST!!!!!!!!!
4 1/2 division sign 1 1/4 = a b/c?
A. a=3, b=6, c=10
B. a=3, b= 3, c=5
C. a= 5, b= 3, c=3
D. a=10, b=6, c=
[tex]4 \frac{1}{2} \div 1 \frac{1}{4} [/tex]
[tex] \frac{9}{2} \div \frac{5}{4} [/tex]
[tex] \frac{9}{2} \times \frac{4}{5} [/tex]
[tex] \frac{36}{10} [/tex]
[tex] \frac{36}{10} \: as \: a \: mixed \: fraction \ \: : [/tex]
[tex]3 \frac{6}{10} [/tex]
In place of A , 3 is there , in place of B , 6 is there and in place of C , 10 is there .Therefore , the correct option is :-[tex]A. a = 3 , b = 6 , c = 10
[/tex]
Evaluate each expression. (-3)-8 and -3-8
Answer:
-11 and 24
Step-by-step explanation:
(-3)-8=-3*(-8)=24
-3-8=-11
hope this helps
brainliest?
Help meee pleaseeeeeee :(
Answer:
I am pretty sure its D
Step-by-step explanation:
If u want to be sure tho search up the dilation scale factor on Google:)
Only answer if you know...how to send or accept friend requests.I use brainly.com and when I click on someone's profile this is what it shows so how do I send or accept friend requests then?I need help with my maths question:5x÷3=26
Answer:
your answer is 15.6
Step-by-step explanation:
5x divided by 3= 26
multiply 3 by each side
5x = 78
divide 5 by each side to get x by itself
x= 15.6
If you are buying at item at a store for a price of $41, and there is a 5.3% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
$53.92
Step-by-step explanation:
x/100=5.3/41
Cross Multiply
41x=530
41x/41=530/41
x=12.92
41+12.92=53.92
Answer: $43.17
Step-by-step explanation:
%53 = 0.053
Percent formula:
a ( 1 + r )
41 (1 + 0.053)
41 (1.053)
43.173
round
Which expression isequivalent to (65) (62)?
Can someone help please?
Answer:
It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.
Step-by-step explanation:
Please correct me if I am wrong.
The sum of three consecutive odd numbers is 69. What is the biggest number?
Answer:
25 is the answer
Step-by-step explanation:
21 23 25
PLS HELP ASAP FOR BRAINLIEST
Answer:
y=3
Step-by-step explanation:
it is because X=-2 had crossed the point y=3
hope this help you!!!! ;))))))
Simplify 9 to the 2nd power\ 9 to the 7th power
Answer:
9^2/9^7 = 9^-5
Step-by-step explanation:
Please Help!!!!!!!!!
answer the questions
dont answer if u dont know
Answer:
3.) 2.5cm
4.) 14mm
5.) 1.75in
6.) 12cm
7.) 4in
8.) 1.6ft
9.) 31.4in
10.) 43.96in
11.) 56.52in
Step-by-step explanation:
3-5 finding the radius is just half of the diameter.
#3
5/2= 2.5
#4
28/2= 14
#5
3.5/2= 1.75
6-8 is finding the diameter. To find the diameter multiply the radius by 2.
#6
6*2= 12
#7
2*2= 4
#8
.8*2= 1.6
9-11 is finding the circumference. To find it use this equation C= 2πr.
C= circumference, 2=2, π= 3.14, r= radius
#9 the diameter is 10in so the radius is 5in
C=2(3.14)5
C=31.4
#10 the radius is 7in
C= 2(3.14)7
C= 43.96
#11 diameter is 18in so the radius is 9in
C=2(3.14)9
C= 56.52
Answer:
I don't know the anwser
Step-by-step explanation:
but the other person does so I'm adding this to get points and so you can make her brainliest
Name a point non-complanar to plane K
Answer:
did you attach an image?
Step-by-step explanation:
We have a figure given in question.
We have to find a point non-coplanar to plane K.
What is Coplanarity of points?Two or more points are coplanar if they lie on the same plane in the three dimensional coordinate system. If they don't lie on the same plane, then they are called non - coplanar.
According to the question, we have to find a point non-coplanar to
plane K.
All the points except points W and Y lie on plane K. Hence, W and Y are the two points that do not lie on the K - plane.
To solve more questions on Coplanarity, visit the link below-
https://brainly.com/question/10623225
#SPJ2
Solve for y: 2(x - y) =a
Answer:
a=2x−2y
Step-by-step explanation:
Geo has twice as many video games as Brianna has. Subtracting 7 from the number of video games. Geo has and dividing by 3 equals the number of video games Jamaal has. If Jamaal has 25 , how many video games does Brianna have
Answer:
41 games ( Brianna Has)
Geo has 82 because 25x25 equals 75 and 75+7 equals 82.
Answer:
Brianna Has 41 games
Step-by-step explanation:
What is the slope of the line that passes though the points (5, -11) and (-9, 17)?
A .-2
B. 2
C. −12 1/2
D .7