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3 years ago

A purple paint is made by mixing 15oz of of red paint,and 5oz of boue paint. What percent of the paint is blue paint.

Mathematics

1 answer:

ZanzabumX [31]3 years ago

4 0

Answer: 25%

Step-by-step explanation:

$\dfrac{\text{blue paint}}{\text{total paint}}=\dfrac{5}{5 + 15}\quad =\dfrac{5}{20}\bigg(\dfrac{5}{5}\bigg)\quad =\dfrac{25}{100}\quad =\large\boxed{25\%}$

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Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC

e-lub [12.9K]

Answer:

$DC=\frac{8}{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

In the right triangle ABM

Applying the Pythagorean Theorem

$BM^2=AB^2-AM^2$

we have

$AB=5\ units\\AM=x\ units$

substitute

$BM^2=5^2-x^2$

$BM^2=25-x^2$ -----> equation A

In the right triangle BMC

Applying the Pythagorean Theorem

$BM^2=BC^2-MC^2$

we have

$BC=7\ units\\MC=AC-AM=(9-x)\ units$

substitute

$BM^2=7^2-(9-x)^2$

$BM^2=49-(81-18x+x^2)$

$BM^2=49-81+18x-x^2$

$BM^2=-x^2+18x-32$ ----> equation B

equate equation A and equation B

$-x^2+18x-32=25-x^2$

solve for x

$18x=25+32\\18x=57\\\\x=\frac{57}{18}$

Simplify

$x=\frac{19}{6}$

Find the length of DC

$DC=AC-2x$

substitute the given values

$DC=9-2(\frac{19}{6})$

$DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units$

8 0

3 years ago

Which ordered pair is a solution of the equation? y = 7 x − 3 y=7x−3

eimsori [14]

Answer:

(1,4)

Step-by-step explanation:

Which ordered pair is a solution of the equation? y = 7 x − 3

a. (1,4) b. (-1,-4) c. both d. neither

Solution

y=7x-3

Solve by trying each ordered pair

a. (1,4)

x=1, y=4

Substituting the value of x and y into the equation

y=7x-3

4=7(1)-3

4=7-3

4=4

This is a true statement

b. (-1,-4)

x=-1, y=-4

Substitute the value into the equation

y=7x-3

-4=7(-1)-3

-4= -7-3

-4= -11

This is not a true statement

This true statement is when x=1 and y=4

So, the ordered pair (1, 4) is the solution

8 0

3 years ago

Match each function formula with the corresponding transformation of the parent function y = 3x

kodGreya [7K]

Answer:

1. y = -3^ x Translated up by 1 unit 2.

2.y = 3^ -x Reflected over the y-axis 3.

3.y = 3 ^x - 2 Translated right by 2 units 4.

4. y = 3 ^x + 1 Translated down by 2 units 5.

5. y = 3^ x + 1 Translated left by 1 unit 6.

6. y = 3 ^x - 2 Reflected over the x-axis

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A company uses the function f(x) = 2(3)¥ to project the number of stores that the company will have open x years after the compa

Brilliant_brown [7]

I think it’s d bc it increases by 3 each year

5 0

3 years ago

(-2) times (+5) times (-1) times (-5) times (-2) please can u answer fast i have a test in 2 min

zlopas [31]

Answer:

100

Step-by-step explanation:

4 0

1 year ago