1 (a) (i) Yasmin and Zak share an amount of money in the ratio 21 : 19.
Yasmin receives $6 more than Zak.
Calculate the total amount of money shared by Yasmin and Zak.
(ii) In a sale, all prices are reduced by 15%.
(a) Yasmin buys a blouse with an original price of $40.
Calculate the sale price of the blouse.
Answers
Answer: 1(a) $120
(ii a) $34
Step-by-step explanation:
21-19 = 2
$6/2=3
21x 3( one ratio =$3) =63
19x3 = 57
63+57=120 - (1 A ans)
(ii a) 40x0.15 (percentage decrease)= 6
40-6 = $34
The total amount of money shared by Yasmin and Zak is $120.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
(i) The given ratio is 21:19
Let Zak be having $x, the Yasmin will be having $(x+6).
Now, 21/19 = x+6/x
21x=19x+114
2x=114
x= $57
So, x+6= 57+6 = 63$
Total 63+57=$120
(ii) Given that, Yasmin buys a blouse with an original price of $40.
In a sale, all prices are reduced by 15%.
Now, 15% of 40
= 15/100 ×40
= 0.15×40
= 6
New cost =40-6
= $34
Therefore, the sale price of the Yasmin's blouse is $34.
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Related Questions
what is the quotient of
Answers
Answer:
9
Step-by-step explanation:
3 x 5 =15 + 3 = 18. so 18 over 5 divided by 2 over 5. you flip the 2nd fraction and multiply. the 5s cancel. 18 ÷2 = 9
which number is bigger 5.72 or 4.75?
Answers
Answer:
5.72
Step-by-step explanation:
Answer:
5.72 is bigger then 4.75
Step-by-step explanation:
Multiply. What is the product?
[−2 3/11⋅(−4)]⋅(1 13/20)⋅(−10)
Answers
Answer:
- 5198/11
Step-by-step explanation:
If the mean of the numbers 8, 9, 10, 11, and x is 12, then what is the value of x?
A. 7
B. 12
C. 22
D. 38
Answers
Answer:
C=22
Step-by-step explanation:
8+9+10+11+x divided by 5 gives 12
38+x divide by five gives 12
12×5=60
38+x=60
x=22
brainlist please
(a) A square has a perimeter of 8 cm. What is the length of each side?
Answers
Answer: 2
Step-by-step explanation:
Perimeter is all the sides added up together so a square has 4 sides. 8/4= 2
What is the solution to the system of linear equations? Show your work using either substitution or elimination.
Need help rlly soon! Also please show work!
Answers
Answer:
x = 11 ; y =13
Step-by-step explanation:
3x - 2 y = 7 -------------(I)
y = x + 2 -----------(II)
Substitute y = x + 2 in equation (I)
3x - 2(x + 2) = 7
3x - 2*x + 2*(-2) = 7
3x - 2x - 4 = 7
x - 4 = 7
x = 7 + 4
x = 11
Plugin x = 11 in equation(II)
y = 11 + 2
y = 13
If two acute angles of a right angled triangle are in the ratio 1:2, Find them.
Answers
Answer:
30°,60°,90°
Step-by-step explanation:
Let :-
Ratio = 1x : 2xAs we know :-
Sum of all angles = 180°So that ,
x + 2x + 90 = 180 3x = 90 x = 90/3 x = 30Angles ,
90° x = 30° 2x = 60°Answer:
Let the angles be x and 2x.
We know that the sum of all interior angles of a triangle is 180°.
Therefore,
x+2x+90 = 1803x+90 = 1803x = 180-90x = 90/3x = 30Angles,
90°x = 30°2x = 2×30 = 60°sas, sss, aas, or not enough information
Answers
Answer:
Sas
Step-by-step explanation:
Because it’s side angle side
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given triangles are congruent by :
SAS criterionbecause two of their sides are equal and the angle between the is equal too (by vertical opposite angle pair).
A group of 15 people dines at your restaurant, and their total bill is $315. They decide to split the bill evenly between each person, and each person presents a coupon for $5 off their meal. How much does each diner pay?? $16 $21 $26 $48 $54
Answers
$21 - 5 = $16
$16 x 15 people
= 240
They each pay $16
Please mark brainelist
Please help it’s due today
Answers
Answer:
the answer is the 3rd one.
Step-by-step explanation:
9x + 7
Verbal
Expression
Answers
Find the value of x.
Answers
Elena needs to find a table that will fit three cube-shaped cases, each containing a frog. If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 30 inches long and 18 inches wide? Explain and show your work.
a) Find the length of the side of each case
b) Is the length of the table enough for the 3 cases? Explain
c) Is the width of the table enough for the 3 cases? Explain
Answers
Answer:
A is 30 inches
b is Yes
c
Step-by-step explanation:
Which of the ordered pairs is a solution to
4x - y = 8?
a. (0, -8).
b. (0,8).
c. (8,0).
(-3.0
Answers
Answer:
a(0,-8)
Step-by-step explanation:
4x0=0
0--8= 8
What does the number shown below equal to?
-15x = 390
Answers
Answer:
x =-26
Step-by-step explanation:
-15x = 390
Divide each side by -15
-15x/-15 = 390/-15
x =-26
Answer:
X = -26
Step-by-step explanation:
Divide both sides by -15.
390/-15 = -26
X is equal to -26.
Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A . Select all of the measurement pairs that could be the dimensions of Rectangle B.
Answers
Answer:
A=6 cm, D=4.5cm and E=80 cm
Step-by-step explanation:
Helpppp plsssssssdssssssssss
Answers
Answer:
y = x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (- 1, 2) ← 2 points on the line
m = [tex]\frac{2-1}{-1-(-2)}[/tex] = [tex]\frac{1}{-1+2}[/tex] = [tex]\frac{1}{1}[/tex] = 1
The line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = x + 2 ← equation of line
Instructions: Evaluate f(x) = 2x + 5 for the following and enter
your answer in the space provided. Do not include any spaces in
your answer.
f(-1) =
f(2)=
f(0) =
f(z)=
Answers
Answer:
f(1) = 3
f(2) = 9
f(0) = 5
f(z) =2z + 5
Step-by-step explanation:
f(x) = 2x +5 let x = -1; 2, 0, z and simplify if you can.
f(-1) = 2(-1) +5 ; -2 +5
f(2) = 2(2) + 5; 4 + 5
f(0) = 2(0) + 5; 0 + 5
f(z) = 2z +5; 2z + 5
Find the slope of the line that passes through each pair of points (-3,4) and (2,-3)
Answers
Answer:
-7/5
Step-by-step explanation:
(-3 - 4) / (2 - -3) = -7/5
Which of the following statements must be true based on the diagram below? Select all that apply.( diagram not to scale)
Answers
ST is an angle of bisector
PLEASE PLEASE PLEASEEEE HELP 50 POINTS AND BRAINLIEST!
Answers
Tons generated: 11.388 x 10^7
Tons recovered: 5.025 x 10^7
Explanation:
The question asks for the TOTAL amount generated/recovered so the final answer will be a combination (addition) of the paper, glass, and plastics.
The number are all (# x 10^7) so no conversions must take place.
Adding up the first row we get…
11.388 x 10^7
The second row would be…
5.025 x 10^7
PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS
Answers
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the sides of the figures
(1)
The figure has 5 congruent sides , then perimeter P
P = 5 ([tex]\frac{2}{5}[/tex] x + 1) ← multiply each term in the parenthesis by 5
= 2x + 5
(2)
There are 4 congruent sides of ([tex]\frac{5}{2}[/tex] x - y) and 8 of y , then
P = 4([tex]\frac{5}{2}[/tex] x - y) + 8y ← distribute parenthesis by 4
= 10x - 4y + 8y ← collect like terms
= 10x + 4y
(3)
P = 2([tex]\frac{2a-b}{2}[/tex] ) + 2([tex]\frac{3b}{2}[/tex] ) + 2a ← distribute parenthesis
= 2a - b + 3b + 2a ← collect like terms
= 4a + 2b
Find the effective rate for a payday loan which charges $53.29 for a two week loan of $430.
Answers
Sorry for the wait.....
Hope this helps and Happy Halloween!!!!
The effective rate for a payday loan is 3.21%.
What is Interest rate?The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.
Given:
Amount Financial = 430
Financial Charge= 53.29
Term of loan= 14 days
So, the effective rate will be
= (53.29/430 ) x 365
= 45.2345
and, =45.2345/14
= 3.21
Hence, the effective rate is 3.21%.
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Graph the polygon and its image after a reflection in the line x=4.
Answers
Answer: To do so, reflect it on the Y axis and then move it 4 times.
Step-by-step explanation:
what is the probability that both are white if the first marble is replace 42 marble 6 blue 6 green 16 yellow 9 red and 5 white
Answers
A package of 5 pairs of insulated gloves costs $33.45. What is the unit price of the pairs of gloves?
The unit price is $
per pair of gloves.
Answers
Answer:
$6.69
Step-by-step explanation:
Since we know the total cost of 5 pairs of gloves, all we have to do to find the unit price is divide the total cost by how many gloves were are being sold:
33.45 / 5 = 6.69
Therefore, one pair of gloves costs $6.69
Hope this helps :)
What is 4 ÷ 3/5 A.6 B.6 2/5 C.6 2/3 D.8
Answers
(about) 6.6 or 6 2/3
If Rosa walks 3 miles in 40 minutes, then Rosa will walk how far in 70 minutes if she walks at the same
speed the whole time? If necessary, round your answer to the nearest tenth of a mile.
miles.
Answers
Answer:
5.25 miles.
Step-by-step explanation:
1) Rosa spends 10 minutes in 3/4=0.75 miles, then
2) Rosa can spend 70 in 0.75*7=5.25 miles.
Answer:
5.3 miles
Step-by-step explanation:
3miles/40min =x miles/70min
cross multiply the fractions
3*70 = 40*x
210=40x
divide by 40 on both sides
210/40 = 5.25
Solve for x please
A)-8
B)-9
C)8
D9
Answers
Answer:
My answer is -9.becasiug
The ratio of the interior angles of a triangle is 4:5:7. What are the angle measures?
Answers
Answer:
45:56.25:78.75
Step-by-step explanation:
a triangle=180º total
4+5+7=16
180÷16=11.25
The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The ratio of the interior angles of a triangle = 4 : 5 : 7
Now,
Find the interior angles of a triangle as;
Since, The ratio of the interior angles of a triangle = 4 : 5 : 7
Hence, First angle = 4x
Second angle = 5x
Third angle = 7x
Since, The sum of all the angles in a triangle = 180°
So, We can formulate;
⇒ 4x + 5x + 7x = 180
⇒ 16x = 180
⇒ x = 180/16
⇒ x = 11.25
Thus, First angle = 4x
= 4 × 11.25
= 45°
Second angle = 5x
= 5 × 11.25
= 56.25°
Third angle = 7x
= 7 × 11.25
= 78.25°
Thus, The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.
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