Answer:
The price of T-shirts before the sale = 42 euros
The price of scarves before the sale = -77/2 euros
Step-by-step explanation:
The cost of the items Zina buys from the store initially are;
Two scarves and three T-shirts for 49 euros
The reduction in the price of scarves a week later during sales = 1.5 euros
The reduction in the price of T-shirts a week later during sales = 2 euros
The items Zina bought for 40 euros at the reduced price of the sales opportunity are;
Four scarves and five T-shirts for 40 euros
Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we have;
2·x + 3·y = 49...(1)
4·(x - 1.5) + 5·(y - 2) = 40...(2)
Expanding equation (2) gives;
4·x - 6 + 5·y - 10 = 40
4·x + 5·y = 40 + 6 + 10 = 56
∴ 4·x + 5·y = 56...(3)
By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;
4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63
-y = -42
y = 42
The price of T-shirts before the sale = 42 euros
x = (49 - 3 × 42)/2 = -77/2
x = -77/2
The price of scarves before the sale = -77/2 euros
(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;
The price of T-shirts before the sale = 12 euros
The price of scarves before the sale = 6.5 euros.
The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)
Your business has two branch stores. The recent physical inventory reports that the merchandise value for each store is: Store A $750,000, and Store B $580,000. The merchandise book value for each store is: Store A $757,000, and Store B $600,000. What is the dollar amount of shrinkage for each store?
Answer: Store A: 7,000 Store B: 20,000
Step-by-step explanation:
The amount of shrinkage for store A is $7000 and for store B is $20000.
What is loss?"If the selling price of an item is less than the cost price, then the difference between the cost price and the selling price of an item is called the loss".
For the given situation,
The merchandise book value for store A = $757,000
The merchandise book value for store B = $600,000
Based on physical inventory reports,
The merchandise value for store A = $750,000
The merchandise value for store B = $580,000.
The amount of shrinkage determines the loss and it is calculated by taking the difference between the values.
Store A = [tex]757000-750000[/tex]
⇒ [tex]7000[/tex]
Sore B = [tex]600,000-580000[/tex]
⇒ [tex]20000[/tex]
Hence we can conclude that the amount of shrinkage for store A is $7000 and for store B is $20000.
Learn know more about a loss here
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2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24
Honon spent 3 1/4 hours on homework while Sequoia spent 2 5/6 hours on homework. How much more time did Honon spend on homework than Sequoia
Answer:
5/12 hours
Step-by-step explanation:
Honon = 3 1/4 hours
Sequoia = 2 5/6 hours
How much more time did Honon spend on homework than Sequoia
= number of hours Honon spent - number of hours Sequoia spent
= 3 1/4 hours - 2 5/6 hours
= 13/4 - 17/6
= (39-34) /12
= 5/12 hours
A jug contains 1560 no of Apple juice in it. How many will each child get if 12 children share juice equally?
Answer:
130
Step-by-step explanation:
total apple juice= 1560
if 12 children share juice equally
they get
=1560/12
= 130
please help in this one
Answer: [tex]49.79\ m[/tex]
Step-by-step explanation:
Given
The volume of the spherical solid is [tex]V=123,456\ m^3[/tex]
It is melted to form a solid cube
Suppose the edge length of the cube is [tex]a[/tex]
The volume of the sphere is [tex]\frac{4}{3}\pi r^3[/tex]
[tex]\Rightarrow 123,456=a^3\\\Rightarrow a^3=123,456\\\text{Factorising 123,456}\\\Rightarrow a^3=2^6\times 3\times 643\\\\\Rightarrow a=\sqrt[3]{2^6\times 3\times 643} \\\\\Rightarrow a=4\sqrt[3]{ 3\times 643}\\\\\Rightarrow a=49.79\ m[/tex]
5. Subtract using the zero principle.
b) (2y- * - 3y) - (-2x + y)
Answer:
4x + 2y
Step-by-step explanation:
( 2x - - 3y ) - ( - 2x + y )
→ Simplify
2x + 3y + 2x - y
→ Collect x and y terms
4x + 2y
SOMEONE PLEASE HELP ME
1. Simplify the expression
(b^6)^9
2. Rewrite as a base to a power, if possible
7^9/7^2
Answer:
1) b⁵⁴
2) 7⁷
Step-by-step explanation:
When you have an exponent raised to an exponent, like in #1, you simply multiply the exponents.
When you are dividing two numbers with exponents and they have the same base, like in #2, you subtract the denominator exponent from the numerator exponent.
in a school the ratio of the number of pupils to the school of teachers is 20 ;1 if the number of pupils is 840 how many teachers are there?
Answer:
42
Step-by-step explanation:
[840/20]*1=42
Answer:
the correct answer is that the will be 42 teachers
Step-by-step explanation:
1/20x840
=42
Simplify the expression
The volume of Cylinder A is 189 ft and the
volume of Cylinder B is 56 ft. If the cylinders are
similar, what is the ratio of surface area of
Cylinder A to the surface area of Cylinder B?
Please don’t put in a link
Answer:
27:8
Step-by-step explanation:
189/56 = 27/8
T increased by 55 pls help no links or anything
Answer:
T increased by 55 =t+55
The perimeter of a right -angled triangle is 72 cm . Its side are in the ratio 3 : 4: 5.Work out the longest length of the triangle.
Answer:
The longest length is 30 cm
Step-by-step explanation:
Mathematically, the perimeter of a triangle is simply the sum of the lengths of its three sides
So, what we have to do here is divide the perimeter in the given ratio to get the side lengths
since 5 is the biggest of the numbers in the ratio, it represents the largest length value
so we have this as;
(3 + 4 + 5) = 12
So that would be;
5/12 * 72
= 5 * 6 = 30
………………………………………………….
Answer:
Tan(Ф) = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Tan(Ф) = [tex]\frac{opposite}{adjacent}[/tex]
Tan(Ф) = [tex]\frac{12}{5}[/tex]
Hope this helps!
Jackson recorded the growth of a plant over 10 weeks. The equation y=0.25x+4 represents the height in inches over the time in weeks. How tall will the plant be after 5 weeks? How tall will it be after 12 weeks? (PLEASE HELP)
Answer:
5.25 inches after 5 wks
7 inches after 12 wks
Step-by-step explanation:
after 5 weeks: y = .25(5) + 4 which is 5.25 inches
after 12 weeks: y = .25(12) + 4 which is 7 inches
PLEASEEE HELPPP its due in 10 mins PLSSS
Answer:
About 525 times.
Step-by-step explanation:
You have a 5 in 8 chance of getting a consonant originally. You should try to find an equal ratio except with 840 as the second number. As of now it's 5/8 = ?/840
8 is a factor of 840 and if you divide 840 by 8 you get 105. If you actually think about it 105/840 would be an equal ratio to 1/8 so you multiply 108 by 5 to get 525.
Help!! A. 2,2 B. 4,1 C. 1,-1 D. -1,0
What is the value of expression of x=5
What is the coefficient of 6x-3
Answer:
27
Step-by-step explanation
6x - 3
6(5) - 3 || replace the x with its value
30 - 3 || multiply (also known as simplify)
27 || subtract 3 from 30
guys i think i might have a pis.skink
Answer:
Is this true or uhhhh id,k tbh
Thanks for the free point.s anyways
PLS HELPP GUYS !!!! in a hurry !!!!!!!
Answer:
A because it uses all of domains
Step-by-step explanation:
Is it possible to find two data sets A and B such that A has a greater median and mode,
while B has a greater average and range? If you think the answer is yes, provide an example. If you think the answer is no, explain why not.
Answer:
54
Step-by-step explanation:
You add 5+19 and divide my 2
HELP PLZZ HURRY IMA GET A ZERO
Answer:
m∠G= 180° - ( 59+77 )°
Step-by-step explanation:
Evaluate the radical.
3√512
Enter your answer in the box.
Answer:
The Answer is 8.
Its the only Number that Multiplies itself three times to give 512.
So the Cube root of 512... Should be 8.
Answer:
8.
Step-by-step explanation:
512 = 64* 8
∛512 = ∛64 * ∛8
= 4 * 2
= 8.
Solve. You may use a calculator and round your answer to the nearest tenth of a unit if necessary.
A ball is dropped from a height of 900 centimeters. the table shows the height of each bounce. The
heights form a geometric sequence. How high does the ball bounce on the 5th bounce?
bounce 1 is 800 cm
bounce 2 is 560 cm
bounce 3 is 392 cm
192 cm
Step-by-step explanation:
Each bounce is 70% of the previous bounce so the fourth bounce is going to be 274 cm and the fifth is going to be 192 cm.
Find x and round it to the nearest tenth is necessary, help please and thank you so much
Answer:
111
Step-by-step explanation:
360 - 65 - 106 - 78 = 111
(11.5) - (-11.5)
Jamal says he thinks the answer is 23. His friend, Reggie, claims the
answer will be 0.
Do you agree with either of them?
explain as long as you can
Answer:
Jamal is correct.
Step-by-step explanation:
(11.5) − (−11.5)
=11.5 − (−11.5)
=11.5 + 11.5
=23
find the area of ABCD
trapezoid ABCD ~ trapezoid EFGH
trapezoid ABCD: 20cm
trapezoid EFGH: 5cm
area of EFGH = 40 sq cm
Answer:
640 cm²
Step-by-step explanation:
The ratio of the area of 2 similar polygons = the ratio of the square of their corresponding lengths
Thus:
Area of Trapezoid ABCD to Area of Trapezoid EFGH = AB² to EF²
Area of Trapezoid ABCD = ? = x
Area of Trapezoid EFGH = 40 cm²
AB = 20 cm
EF = 5 cm
Substitute
x:40 = 20²:5²
x/40 = 400/25
x/40 = 16
Cross multiply
x = 16*40
x = 640
Area of trapezoid ABCD = 640 cm²
A clock runs 5 minutes slow every hour. The clock was set
at the proper time 12 hours ago. The correct time now is 3 p.m.
How many minutes will elapse before the clock indicates 3 p.m.?
Boris's cat will be having four kittens. Boris performs a
simulation by tossing a coin to model whether these
kittens will be male or female.
• Let heads (H) = female kitten
• Let tails (T) = male kitten
The results of the simulation are:
1. THTT
6. THHT
2. THHT
7. HTHH
3. HHHH 8. TTTT
4. HTTT
9. TTHT
5. TTHH
10. HTHT
What is the estimated probability that at least three of the kittens will be
male?
60%
A.
B.
40%
10
C.
8
10
80%
D. io = 20%
Answer:
40% or 4/10
Step-by-step explanation:
Answer:
its 40%
Step-by-step explanation:
A.P.E.X.
Complete the table below.
Answer:
4 , 2, 8, 4 ..............
Jane has 27 cats , max has 6, Jasmine has 98 how many altogether?
Hello~
All you have too do is add!
27+6+98=
Simplify
27+6=33
Add again
33+98= 131
So its 131!
Ary~