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algol13
3 years ago
9

Stuck, please help and give explanation thank you.

Mathematics
1 answer:
KatRina [158]3 years ago
3 0
The price of Deluxe=D
the price of standard- S

D=S+5
2D+3S=47,5
2*(S+5)+3S=47,5
2S+2*5+3S=47,5
5S+10=47,5
5S=47,5-10
5S=37,5
S=37,5:5
S=7,5 $ the price of standard Chocolates

D=7,5+5=12,5$
D=12,5$

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What is the value of x and the length of segment DE?
Mandarinka [93]

Answer:

Part 1) x=6.6\ units

Part 2) DE=16.2\ units

Step-by-step explanation:

Part 1) Find the value of x

we know that

Triangles CDF and FDE are similar

therefore

The ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

CD/FD=FD/DE

\frac{5}{9}=\frac{9}{2x+3} \\ \\5*(2x+3)=9*9\\ \\10x+15=81\\ \\10x= 81-15\\ \\10x=66\\ \\ x=6.6\ units

Part 2) Find the length of DE

DE=2x+3

substitute the value of x

DE=2(6.6)+3=16.2\ units

8 0
3 years ago
Read 2 more answers
7. Find the distance between the points (13, 8) and (-12, 6)
Alik [6]

9514 1404 393

Answer:

  √629 ≈ 25.08

Step-by-step explanation:

The distance formula is useful for this.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-12 -13)² +(6 -8)²) = √(625 +4) = √629 ≈ 25.08

The distance between the points is about 25.08 units.

3 0
2 years ago
What is the surface area of this right rectangular prism with dimensions of 6 inches by 4 inches by 12 inches A. 324 B.256 C.288
VMariaS [17]

Answer:

C

Step-by-step explanation:

(6 * 4 ) * 2 = 48

( 4 * 12 ) * 2 = 96

( 6 * 12 ) * 2 = 144

48 + 96 + 144  = 288

6 0
2 years ago
Which statement about the data in the table shown is true?
nalin [4]

Answer:

i would say B.. sorry of its not the right one..

Step-by-step explanation:

5 0
3 years ago
Veronica has been saving dimes and quarters she has 110 coins in all and the total value is 18.50 how many dimes and quarters do
Lady_Fox [76]

This problem can be solved by the chicken rabbits method or you can just do simple algebra.

I.) Chicken and rabbits method

First assume all 110 coins are dimes and none are quarters.

We will have a total value of 11 dollars

Now for each dime we switch out for a quarter, we adds 15 cents to the total value.

18.50-11=7.50 dollars

There are 750/15=50 group of 15 cents in the 7 dollars and 50 cents.

This also meant that we need to switch out 50 dimes for 50 quarters.

So we have 50 quarters.

That first method is very good and very quick once you get the hang of it, now I'm going to show you the algebraic way to solve this.

Let's say there are x dimes and y quarters.

Set up equation

x+y=110

10x+25y=1850

Now solve multiply first equation by 10

10x+10y=1100

subtract

15y=750

y=50

Now we set the numbers of quarters to y so the answer is 50 quarters.

I personally recommend using algebra whenever you can because the practice is very important and you will eventually get really fast at setting up and solving equations. The first method is faster in this case but the second is more generalize, hope it helps.

6 0
3 years ago
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