1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Stels [109]
3 years ago
10

Pastries made out of filo dough are brushed with either olive oil or butter (but not both). Pastries made out of shortcrust doug

h are not brushed with anything.
Rashid and Mikhail submitted a total of x pastries to a baking competition. Mikhail used filo dough for all of his pastries, Rashid used shortcrust dough for all of his pastries, and each pastry was made using only one kind of dough.

If Rashid made 2/3 as many pastries as Mikhail, and 5/8 of the filo dough pastries were brushed with olive oil, then how many of the pastries submitted by Rashid and Mikhail, in terms of x, were brushed with butter?

a) 3X/20
b) 9X/40
c) 1X/4
d) 3X/8
e) 5X/12
Mathematics
1 answer:
givi [52]3 years ago
5 0

Answer:

3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter

Step-by-step explanation:

Rashid pastries (R)

Mikhail pastries (M)

Rashid and Mikhail submitted a total of x pastries

R+M=x (I)

Rashid made 2/3 as many pastries as Mikhail

(2/3)*R=M (II)

Using II in I

R+(2/3)*R=x

(5/3)*R = x

R=(3/5)*x (III)

Using III in I

(3/5)*x+M=x

M=x-(3/5)*x

M=(2/5)*x (IV)

Mikhail filo dough (MF)

Mikhail shortcrust dough (MS)

Rashid filo dough (RF)

Rashid shortcrust dough (RS)

Mikhail used filo dough for all of his pastries

MF=M

MS=0

Rashid used shortcrust dough for all of his pastries

RS=R

RF=0

Filo dough (FD)

FD=RF+MF=0+MF=MF=M (V)

5/8 of the filo dough pastries were brushed with olive oil

pastries brushed with olive oil (OI)

(5/8)*FD=OI

Using V

(5/8)*M=OI

Using IV

(5/8)*(2/5)*x=OI

(1/4)*x=OI (VI)

pastries brushed with butter (B)

Pastries made out of filo dough are brushed with either olive oil or butter (but not both)

FD=OI+B

B=FD-OI

Using V and VI

B= M - (1/4)*x

Using IV

B = (2/5)*x - (1/4)*x

B= (3/20)*x

3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter

You might be interested in
Round the numbers to the nearest cent and then to the nearest dollar. 23. $62.756 24. $38.415
MrMuchimi

Answer:

23.  $ 62.76  to the nearest cent

      $63.00 to the nearest dollar

24.  $ 38.42  to the nearest cent

      $38.00 to the nearest dollar

Step-by-step explanation:

When we round to the nearest cent we round the second number after the decimal.  We look at the third number after the decimal.  If it is 5 or above we round up.

When we round to the nearest dollar, we round the number befroe the decimal. We look at the number after the decimal.  If it is 5 or above we round up.

23.  $62.756  we round the 5 so we look at the 6   6>= 5  so we round up

         $ 62.76  to the nearest cent

    $62.756  we round the 2 so we look at the 7  7>= 5  so we round up

          $63.00 to the nearest dollar

24. $38.415 we round the 1 so we look at the 5   5>= 5  so we round up

         $ 38.42  to the nearest cent

    $38.415  we round the 8 so we look at the 4  4< 5  so we leave alone

          $38.00 to the nearest dollar

6 0
3 years ago
Can u explain how to solve this?
svlad2 [7]

Answer: B.pi/2

ABCD is a square

=> Δ ABD is a  isosceles right triangle at A

using pythago theorem, we have:

AB² + AD² = BD²

=> 2AD² = 4

⇔ AD² = 2

⇒ AD = √2

through O, draw EF parallel to AD and BC

=> EF is  diameter

because EF//AD => EF = AD = √2 (because circle O is inscribed the square ABCD)

=> the area of the circle is S=\frac{(\sqrt{2})^{2}  }{4}.\pi =\frac{\pi }{2}

Step-by-step explanation:

5 0
2 years ago
What is the difference between ordinary annuity and annuity due? Give some example of annuities.
telo118 [61]

Answer:

Annuity due is an annuity whose payment is due immediately at the beginning of each period. Annuity due can be contrasted with an ordinary annuity where payments are made at the end of each period. A common example of an annuity due payment is rent paid at the beginning of each month.

Step-by-step explanation:

Examples of annuities are regular deposits to a savings account, monthly home mortgage payments, monthly insurance payments and pension payments.

6 0
3 years ago
How long will it take to sum of 6,000 naira to give an interest of 1500Naira at 5% rate
Sonja [21]

Answer:

5years

Step-by-step explanation:

Interest=Principal*Rate*Time/100 which is

I=P*R*T/100

  • 1500=6000*5*T/100
  • 1500=30000/100*T
  • 1500=300T
  • 1500/300=T
  • 5=T

Therefore T which is Time=5 years.

HOPE THIS HELPS

8 0
2 years ago
Don't have to do all of them just tell me the ones you do.​
Alik [6]

See explanations below.

Step-by-step explanation:

12. If H(x) represent the percent of U.S households with internet use in x years after 1980 then;

a) H(23)=55 means the number of U.S households with internet use in 23 years after 1980 is 55

b)H(4)=k

so if in 23 years H, is 55, find in 1 year

In 1 year H= 55/23=k

c)H(27) ≥ 61 means in 27 years the number of U.S households with Internet use will be greater or equal to 61 households. If you check the results, in 27 years, H is 55/23 * 27 =64.5 ≅65 households which is at most 61 households.

d) H(17) + H(21)=H(29) means the sum of households with internet use  in 17 years and 21 years after 1980 equal the number of households with internet use in 29 years.Checking the results;

H(17) = 55/23 *17 =40.65

H(21)=55/23 *21=50.22

H(17)+H(21)=40.65+50.22=90.87≅91 households

H(29)=55/23 * 29 = 69.34≅69 which is False

13.

h(x)=-7x ; h(x)=63  ⇒replacing x in the second function with -7x

-7x=63

x=63/-7

x=-9

14.

t(x)=3x ; t(x)=23

3x=23

x=23/3 = 7.67

14.

m(x) =4x +15 ; m(x)=7

4x+15=7

4x=7-15 -----------collecting like terms

4x=-7

x=-7/4

15.

k(x)=6x-12 ; k(x) =18

6x-12=18

6x=18+12-------collecting like terms

6x=30

x=30/6

x=5

16. q(x) =1/2x -3 , q (x) =-4

1/2 x-3 =-4------------multiply each term by 2

x-6= -8 ----------------collect like terms

x= -8+6

x= -2

17.

j(x)= -4/5 x + 7 ; j(x)= -5

-4/5 x +7 = -5 ---------multiply each term by 5

-4x+35= -25

-4x=-25-35

-4x=-60

4x=60

x=60/4

x= 15

Learn More

Functions ; brainly.com/question/2316114

Keywords : Functions

#Learnwithbrainly

3 0
2 years ago
Other questions:
  • There are ten pieces of pizza. Anthony ate 1 16 of the pizza for dinner. He ate 7 20 of the pizza for a bedtime snack. How much
    7·1 answer
  • Given b(x)=√3x+3 evaluate f(11) I really need help with this.
    14·1 answer
  • Which of the following functions represents a direct variation?
    11·1 answer
  • PLEASE ANSWER FAST 20 PTS!!!!!!!!!!!!!!! Simply (- 6/5)^3
    8·1 answer
  • 2/3 x 2/3 step by step in an simple way
    5·1 answer
  • 1) In the year 2010, Shaniya invested $1 in the stock market. In the year 2022, her $1 was worth $2. In the year 2034, it was wo
    10·1 answer
  • A bag contains 4kg of rice.1500g is taken out for cooking.What is the ratio of the amount taken out to the original quantity
    13·1 answer
  • Harry reads that a particular element has an atom with a mass of 0.000000000012 grams. What is the weight of the atom expressed
    12·1 answer
  • The highest common factor of 12, 24, and 36<br>is<br>(a) 14<br>(b) 12<br>(c) 6<br>(d) 1​
    12·2 answers
  • If R(x) and S(x) are inverse functions, which statement must be true?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!