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3 years ago

Which value of x makes the numerical sentence true 25^1/2 x 5^-3=5x

1 answer:

4 0

$25^{\frac{1}{2}} \times 5^{-3} = 5^x$

$(5^2)^{\frac{1}{2}} \times 5^{-3} = 5^x$

$5^1 \times 5^{-3} = 5^x$

$5^{1 - 3} = 5^x$

$5^{-2} = 5^x$

$x = -2$

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Dr bell donated 2(3x+60) dollars to the salvation army, 5x dollars to the church and $100 to a sport shop. If he donated a total

Andreyy89

He donated $285 to the salvation army.
The first thing to do is solve for "x". The equation would be {2(3x+60)}+5x+100=550.
Then, you would multiply 2 with 3x and 60. Your new equation would be 5x+120+5x+100=550.
Next, you would combine like terms. This means to combine the terms that are similar. In this case, it would be the whole numbers and the numbers with the variable. Your new equation would be 10x+220=550.
After that, you subtract 220 on both sides of the equal sign. This makes the equation 10x=330.
Then, you divide ten on both sides of the equal sign, giving you x=33.
The second things to is replace the x with 33. The amount for the salvation army is 5x+120. Replacing 33 with x, your final equation will be 165+120=$285.

Have a great day!!! :)

5 0

3 years ago

Zarrin [17]

Answer:

Step-by-step explanation:

7 0

3 years ago

PLEASE HELPPPPP. URGEENNTT!!! I DONT KNOW HOW TO SOLVE THIS

Oksi-84 [34.3K]

Answer:

A = 58.7 degrees

B = 66.9 degrees

C = 34.1 degrees

Step-by-step explanation:

For <A:

Tan A = $\frac{opposite}{adjacent}$

Tan A = $\frac{23}{14}$

Tan A = 1.6

A = $Tan^{-1} 1.6$

A = 58.7 degrees

For <B:

Sin B = $\frac{opposite}{hypotenuse}$

Sin B = $\frac{23}{25}$

Sin B = 0.92

B = $Sin^{-1} 0.92$

B = 66.9 degrees

For <C:

Sin C = $\frac{opposite}{hypotenuse}$

Sin C = $\frac{14}{25}$

Sin C = 0.56

C = $Sin^{-1}0.56$

C = 34.1 degrees

6 0

3 years ago

Be sure to show your work and solve for f: 12 = f - 13-2

ki77a [65]

Answer:

Step-by-step explanation:

$12 = f - 13-2$

Collect like terms and simplify

$12+13+2 = f\\27 =f$

Switch sides

$f = 27$

5 0

3 years ago

Read 2 more answers

I will be marking brainliest please help me with these questions.

krek1111 [17]

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

where,

r = 8 cm

h = 7.5 cm

Volume = ⅓*π*8²*7.5

Volume = 502.7 cm³ (nearest tenth)

7 0

3 years ago