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3 years ago

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Hannah is a photographer who specializes in portraits. This morning, she spent four hours doing graduation portrait sessions. In

the afternoon, she spent four hours doing family portrait sessions, but she didn't do as many sessions as the graduation portraits. Tomorrow, she has the same number of graduation and family sessions to work. Which will she likely finish in less time?

1 answer:

stiv31 [10]3 years ago

6 0

Answer:

graduation

Step-by-step explanation:

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What vaule of x makes th question true? 3x+2(x-5)=50 a. 8 b.9 c.11 d.12

Ainat [17]

Hey Tierra7l,

Lets solve your equation together step by step.

$3x+2\left(x-5\right)=50$

$\mathrm{Expand}\:2\left(x-5\right):\quad 2x-10$

$\mathrm{Distribute\:parentheses\:using}:\quad \:a\left(b+c\right)=ab+ac$

$a=2,\:b=x,\:c=-5$

$2\cdot \:x+2\left(-5\right)$

$\mathrm{Apply\:minus-plus\:rules}$

$\:\:+\left(-a\right)=-a$

$2x-2\cdot \:5$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10$

$2x-10$

$3x+2x-10=50$

$\mathrm{Add\:similar\:elements:}\:3x+2x=5x$

$5x-10=50$

$\mathrm{Add\:}10\mathrm{\:to\:both\:sides}$

$5x-10+10=50+10$

$\mathrm{Simplify}$

$5x=60$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\dfrac{5x}{5}=\dfrac{60}{5}$

$\mathrm{Simplify}$

$x=12$

Hope this helps,

AnthrαX <span> </span>

4 0

3 years ago

The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can thi

pentagon [3]

Answer:

9,240 ways possible in which this can be accomplished if there are 22 members on the board of directors.

Step-by-step explanation:

Total number of available members in the board = 22

The number of posts chosen are a president, a secretary, and a treasurer.

<u>For the Post of President:</u>

The number of available options to choose a president = 22 options

<u>For the Post of Secretary:</u>

As we can not repeat the members because one person CANNOT hold two positions simultaneously.

The number of available options to choose a secretary = 21 options

<u>For the Post of Treasurer:</u>

As we can not repeat the members because two person CANNOT hold three positions simultaneously.

The number of available options to choose a treasure = 20 options

Now, the possible ways can this whole election be accomplished is the product of all possible options

= 22 option x 21 option x 20 option

= 9,240 ways

Hence, there are 9,240 ways possible in which this can be accomplished if there are 22 members on the board of directors.

4 0

3 years ago

How do you solve this problem? (x+3) cubed

Lubov Fominskaja [6]

You would expand becausee it isn't equal to anything

(x+3)^3=(x+3)(x+3)(x+3)
we can use binomial theorem or pascal's triangle
anyway, pascal's triangle is more practicl for this one

so
for the 3rd power
$(a+b)^3=1a^3+3a^2b^1+3a^1b^2+1b^3$

a=x
b=3

$(x+3)^3=1x^3+3x^2(3^1)+3x^1(3)^2+1(3)^3$ =
$x^3+9x^2+27x+27$

7 0

3 years ago

Read 2 more answers

It wont let me post a picture of the angles but they are verticle angles and the equations are (3x+8), (5x-40) and it says find

____ [38]

Vertical angles are equal

5x - 40 = 3x + 8
5x - 3x = 8 + 40
2x = 48
x = 48/2
x = 24

m∠ABC = 3x + 8 = 3 * 24 + 8 = 80°

(or m∠ABC = 5x - 40 = 5 * 24 - 40 = 80°)

8 0

3 years ago

A right triangle has side lengths 7, 24, and 25 as shown below.

elixir [45]

Answer:

SinL = 7/25

CosL = 24/25

TanL = 7/24

Step-by-step explanation:

Find the diagram attached.

Using SOH CAH TOA in trigonometry identity to find the sinL, cosL and TanL

Note that the hypotenuse is the longest side = 25

The opposite will be the side facing the acute angle L

Opposite = 7

Adjacent = 24

For SinL

sinL = Opposite/Hypotenuse {SOH}

SinL = 7/25

For cosL:

CosL = Adjacent/Hypotenuse{CAH}

CosL = 24/25

For tanL:

TanL = Opposite/Adjacent {TOA}

TanL = 7/24

7 0

3 years ago