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tino4ka555 [31]
2 years ago
4

Carla spent two-fifths of her savings on a bracelet and had $\$ 9$ left over. How many dollars did Carla's bracelet cost?

Mathematics
1 answer:
ehidna [41]2 years ago
8 0

Answer:

The cost of the bracelet was \$6

Step-by-step explanation:

Let

x------> amount of Carla's savings

y-----> the cost of bracelet

we know that

y=\frac{2}{5}x -----> equation A

1-\frac{2}{5}=\frac{3}{5}

so

9=\frac{3}{5}x ----> solve for x

x=9*5/3=\$15

substitute the value of x in the equation A and solve for y

y=\frac{2}{5}(15)=\$6

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gavin is making cranberry lemonade. he wants to make a total of 6 cups. he needs to use 3 times as much lemonade as cranberry ju
Inessa [10]

Answer:

3l= c

Step-by-step explanation:

as use 3 cup of cranberry juice, lemonade will be used 1 cup.

4 0
2 years ago
A parabolic satellite dish reflects signals to the dish’s focal point. An antenna designer analyzed signals transmitted to a sat
ivolga24 [154]

Answer:

c=\frac{16}{39}

Step-by-step explanation:

The probability density function is :

f(x)=c(1-\frac{1}{16}x^{2})

With 0 < x < 3

To be a valid probability density function :

\int\limits^b_a {f(x)} \,dx=1

Where a < x < b

And also

f(x) ≥ 0 for a < x < b

Applying this to the probability density function of the exercise :

\int\limits^3_0 {c(1-\frac{1}{16}x^{2})} \, dx=1

c\int\limits^3_0 {(1-\frac{1}{16}x^{2})} \, dx=1

c(3-\frac{1}{16}\frac{3^{3}}{3})=1

c(\frac{39}{16})=1

c=\frac{16}{39}

We can verify by replacing ''c'' in the original probability density function and integrating :

\int\limits^3_0 {\frac{16}{39}(1-\frac{1}{16}x^{2})} \, dx=

=\frac{16}{39}.(3)-\frac{1}{39}.(\frac{3^{3}}{3})=\frac{16}{13}-\frac{3}{13}=\frac{13}{13}=1

Also, f(x) ≥ 0 for 0 < x < 3

4 0
3 years ago
Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change. The sandwich cost $7.75 and sales tax was $
EleoNora [17]

Given

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

The sandwich cost $7.75 and sales tax was $0.47.

Find out the  cost of her drink

To proof

Let the cost of her drink be x.

As given in the question

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

Elysse paid for her sandwich and drink = 10 - 0.63              

                                                                 =  $ 9.37

sandwich cost $7.75 and sales tax was $0.47

Than the equation becomes

x = 9.37 - (7.75 + 0.47)

x = 9.37 - 8.22

x = $ 1.15

The cost of the drink is $ 1.15.

Hence proved      

4 0
2 years ago
Read 2 more answers
1) If B is between A and C, AB=10 and AC=28, what is the value of BC?
Shalnov [3]

One

AB + BC = 28

AB = 10

10 + BC = 28

BC = 28 - 10

BC = 18

Two

AB + BC = AC

AB = 6x

BC = 8x

6x + 8x = 42

14x = 42

x = 42/14 = 3

Three

AB = 2x - 1

BC = 3x + 5

AB + BC = 24

2x - 1 + 3x + 5 = 24

5x + 4 = 24

5x = 24 - 4

5x = 20

x = 20/5

x = 4

AB = 2x - 1

AB = 2*4 - 1

AB = 7

3 0
2 years ago
Noel Devine bought a new dishwasher for $320. He paid 20 down and made 10 monthly payments of $34 what actual yearly interest ra
Nookie1986 [14]
IN finding the interest we need to use the following formula:
 Interest= Principal x Rate x Time  or I= PRT
Substitute values: I= [$20 + ($10 x $34)] -320 =$40
P= $320
R=?
T=10 months/year
I=PRT
Since R is a missing term, we will solve for R using this formula: R=I/PT
R=  [<span>$20 + ($10 x $34)-320] / ($320 x 10 months)
                                          T=10 months</span>÷12 months=0.83<span>
R= ($40)/ $320 X 0.83
R= 40/ 265.6
R=15.06024096</span>
3 0
2 years ago
Read 2 more answers
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