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2 years ago

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choose the missing step in the given solution to the inequality −x − 3 < 13 3x. −x − 3 < 13 3x _______________ −4x < 16

x > −4 −4x − 3 > 13 2x − 3 < 18 −4x − 3 < 13 2x − 3 > 18

1 answer:

Ahat [919]2 years ago

5 0

Answer:

$-4x-3 < 13$

Step-by-step explanation:

we have

$-x-3 < 13+3x$

Subtract 3x both sides

$-x-3-3x < 13+3x-3x$

$-4x-3 < 13$

Adds 3 both sides

$-4x-3+3 < 13+3$

$-4x < 16$

Divide by -4 both sides

$x > -4$

therefore

The missing step is

$-4x-3 < 13$

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Libby sold $60 worth of vegetables at the farmer's market. Jess sold 3/4ths of what Libby sold. Stephanie sold 1/3rd of what Jes

Gemiola [76]

Answer:

$120.

Step-by-step explanation:

We have been given that Libby sold $60 worth of vegetables at the farmer's market.

Jess sold 3/4th of what Libby sold. Let us find 3/4 of 60.

$\text{Jess sold}=60\times \frac{3}{4}$

$\text{Jess sold}=15\times 3$

$\text{Jess sold}=45$

Therefore, Jess sold $45 worth of vegetables.

We are told that Stephanie sold 1/3rd of what Jess sold. So let us 1/3rd of 45.

$\text{Stephanie sold}=45\times \frac{1}{3}$

$\text{Stephanie sold}=15$

Therefore Stephanie sold $15 worth of vegetables.

Now let us add amounts of money earned by Libby, Jess and Stephanie to get the total money earned by all.

$\text{The total money earned by Libby, Jess and Stephanie}=60+45+15$

$\text{The total money earned by Libby, Jess and Stephanie}=120$

Therefore, they all sell $120 worth of vegetables together.

7 0

2 years ago

Read 2 more answers

Trapezoid STUV with vertices S(-3,6),T(0,7),U(1,4),and V(-5,2): (x,y)>(x+7,y-9)

hjlf

Answer:

See below

Step-by-step explanation:

<u>Given points:</u>

S(-3,6),T(0,7),U(1,4),and V(-5,2)

<u>Translation rule: </u>

(x,y) → (x+7,y-9)

<u>New coordinates by applying the rule:</u>

S'(4, -3), T'(7, -2), U'(8, -5), V'(2, -7)

See attached for the graph

The blue trapezoid is STUV and the red one is S'T'U'V'

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2 years ago

jose is choosing a 3-letter password from the letters a,b,c,d. the password cannot have the same letter repeated in it. how many

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Alright, so we are dealing with permutations. Permutations are the number of combinations in a specific order possible for the set.

There's 4 letters, each one can be paired with 3 other letters, but those letters could be in different orders. To figure out how many variations of each combination there are (aka the number of permutations) use this formula:

$_{n}P_{r}= \frac{n!}{(n-r)!}$

$r=$ number of elements in the subset

$n=$ number of elements in the set

$P=$ permutations of the set

There are only 3 elements in the subset because there is 1 that will not be repeated in each set, and there are 4 elements in the set.

Here's the math:

$_{n}P_{r}= \frac{n!}{(n-r)!}$

$_{4}P_{3}= \frac{4!}{(4-3)!}$

$_{4}P_{3}= \frac{4!}{(1)!}$

$_{4}P_{3}= \frac{4(3)(2)(1)}{1}$

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There are 24 permutations. I can prove this by showing you the model:

ABCD, ABDC, ACBD, ACDB, ADBC, ADCB are the 6 arrangements possible of the set starting with the letter A. Because there are 4 letters, the total amount of permutations without repeated letters is 4 (letters) times 6 (possible arrangements), which equals 24.

Hope this helps!

Answer: 24 passwords are possible

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2 years ago

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For this case we have a function of the form:
$y = A * (b) ^ n
$
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b: growth rate (if b> 1)
n: time in hours
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$s (n) = 20 * b ^ n
$
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$A = 20
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$(1.85-1) * (100) = 85%
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Answer:
here were initially 20 bacteria.
The hourly percent growth rate of the bacteria would be 85%

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2 years ago

Zöe schedules advertising for a radio station. She must fill 12 minutes each hour with 30 second ads and 60 second ads. Zöe sold

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I cannot see Zoe's work to explain the error, but the correct method of solving is listed:

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y=2x is the second equation

Our system is then
x+y=720
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We will use substitution to solve this. Plug 2x in place of y in the first equation:
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Substitute this value in for x in the second equation:
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2 years ago