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Tamiku [17]
3 years ago
12

The percent decrease of an item that dropped in price from $50 to $43 is _____.

Mathematics
1 answer:
Stels [109]3 years ago
4 0
Hopefully I’m correct but I think it is 7% because 50 -43 equals 7%
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Solve similar triangles (advanced)
atroni [7]

Answer:

<em>x = 24 </em>

Step-by-step explanation:

The corresponding sides of similar Δs are proportional.

ΔADE ~ ΔABC ⇒ \frac{AD}{AB} = \frac{DE}{BC} = \frac{AE}{AC}

AD = x + 8 ; DE = 8

AB = x ; BC = 6

\frac{x+8}{x} = \frac{8}{6} ⇔ 8x = 6(x + 8) ⇒ <em>x = 24</em>

7 0
2 years ago
Read 2 more answers
Pam needs 3 1/2 cups of sugar to make 50 cupcakes. A 5- pound bag of sugar coats $3.69. There are about 2 cups of sugar in a pou
Lorico [155]

Answer:

The answer to your question is $1.29

Step-by-step explanation:

Data

Total amount of cupcakes = 50

Total amount of sugar = 3 1/2 cups = 3.5 cups

Cost of 5-pound bag = $3.69

2 cups = 1 pound

Total cost = ?

Process

1.- Calculate the amount of pounds needed

                  2 cups ------------------ 1 pound

                  3.5 cups ---------------  x

                  x = (3.5 x 1) / 2

                  x = 3.5 / 2

                  x = 1.75 pounds

2.- Calculate the price of 1.75 pounds

                  5 pounds -------------- $3.69

                  1.75 pounds ----------    x

                  x = (1.75 x 3.69)/5

                  x = 6.46/5

                 x = $1.29

3.- Conclusion

The cost of sugar to prepare 50 cupcakes is $1.29

3 0
3 years ago
Solve the following proportion Start Fraction x over 2 End Fraction equals Start Fraction 8 over 9 End Fraction (1 point) 144 0.
daser333 [38]

Answer:

1.78

Step-by-step explanation:

\frac{x}{2} = \frac{8}{9}

To solve for x  we need to cross multiply it

We have = sign inbetween the fractions so we cross multiply it

9*x = 2* 8

9x = 16

Now we divide by 9 on both sides

x= \frac{16}{9}

so x= 1.7777777778

When we round to two decimal places then

x= 1.78


3 0
3 years ago
X^2+12x-20/3x-5 = x^2+8x+12/2x+3
Helga [31]

Answer:

In attachment I have answered this problem.

8 0
3 years ago
The hypotenuse of a 45 degrees -45 degrees -90 degrees triangle measures 10 root of 5 in.
juin [17]

Answer:

5\sqrt{10}\ in

Step-by-step explanation:

<u><em>The question is </em></u>

Find the measure of the legs

we know that

In a 45 degrees -45 degrees -90 degrees triangle, the measure of the legs are equal

Let

a ----> the measure of one leg

Applying the Pythagorean Theorem

(10\sqrt{5})^2=a^2+a^2

solve for a

500=2a^2

Divide by 2 both sides

a^2=250

a=\sqrt{250}\ in

Simplify

a=5\sqrt{10}\ in

3 0
3 years ago
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