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pickupchik [31]

2 years ago

12

A dollar store sells items for $1 and $2. You plan to go there and spend at least $20. Let x stand for the number of one-dollar

items and let y stand for the number of two-dollar items. Write and graph a linear inequality that models the situation.

1 answer:

Eduardwww [97]2 years ago

8 0

Answer:

x * 10 + y *5

Step-by-step explanation:

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Write three numerical expressions that are equivalent to (0.0004) . (0.005)

yKpoI14uk [10]

<em><u>The three equivalent numerical expressions are:</u></em>

$(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})$

$(0.0004) . (0.005)= (\frac{1}{2500}).(\frac{1}{200})$

$(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})$

<em><u>Solution:</u></em>

We have to write three numerical expressions that are equivalent to (0.0004) . (0.005)

<em><u>Given expression is:</u></em>

(0.0004) . (0.005)

<em><u>First numerical expression:</u></em>

We know that 0.0004 can be written in fraction as:

$0.0004 = \frac{0.0004 \times 10000}{10000} = \frac{4}{10000}$

Similarly,

$0.005 = \frac{0.005 \times 1000}{1000} = \frac{5}{1000}$

Therefore,

$(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})$

<em><u>Second numerical expression:</u></em>

The first numerical expression can be simplified to get second numerical expression

$(\frac{4}{10000}).(\frac{5}{1000}) = (\frac{1}{2500}).(\frac{1}{200})$

<em><u>Third numerical expression:</u></em>

The given expression can be expressed in scientific notation:

<em><u>Steps for converting to scientific notation:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

$0.0004 = 4 \times 10^{-4}\\\\0.005 = 5 \times 10^{-3}$

Therefore, third equivalent numerical expression is:

$(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})$

8 0

1 year ago

You and your friend each collect rocks and fossils. Your friend collects three times as many rocks and half as many fossils as y

pochemuha

Answer:

I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

Step-by-step explanation:

The number of total objects collected by me = 20

The number of objects collected by my friend = 20

Let us assume:

The number of rocks collected by me = m

The number of fossils collected by me = 2 k

⇒ m + 2 k = 20 .... (1)

So, according to the question:

The number of rocks collected by my friend = 3 x (rocks collected by me)

= 3 x (m) = 3 m

The number of fossils collected by my friend = 1/2 x (fossils collected by me) = 1/2 x (2k ) = k

⇒ 3 m + k = 20 .... (2)

Solving (1)and (2) for the value of m and k, we get:

m + 2 k = 20 ⇒ m = 20 - 2 k ... Put this in (2)

3 m + k = 20 ⇒ 3 (20 - 2 k) + k = 20

⇒ 60 - 6 k + k = 20

or, - 5k = -40

or, k = 40/5 = 8

⇒ k= 8

m + 2(8) = 20

or, m = 4

Hence, the number of rocks collected by me = m = 4

The number of fossils collected by me = 2 k = 2 (4) = 16

Hence, the number of rocks collected by my friend = 3 m = 3 x 4 = 12

The number of fossils collected by my friend = k = 8

Hence, I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

4 0

1 year ago

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cube

9966 [12]

(a+b)(a²-ab+b²)
(2x+1)((2x)²-(2x)(1)+1²)
(2x+1)(4x²-2x+1)

C is answer

7 0

2 years ago

Read 2 more answers

A case in riverhead, new york, nine different crime victims listened to voice recordings of five different men. all nine victims

Alexus [3.1K]

the complete question in the attached figure

1) Find the probability that all nine victims would select the same person. You should enter your answer as a decimal, not as a percent. Do not round, as your answer should be a terminating decimal.

P=(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)=0.000000512

2) what is the probability that the first victim picks SOMEONE? ANYONE?

P=(1/5)=0.20 ---------------- > 20%

3) Now let’s look at victim #2. What is the probability that they pick the same person as victim #1?

P=(1/5)*(1/5)=0.04 --------------> 4%

4) Now let’s look at victim #3. What is the probability that they pick the same person as victim #1?

P=(1/5)*(1/5)*(1/5)=0.008 --------------> 0.8%

5) Now let's look at victim #9. What is the probability that they pick the same person as victim #1?

P=(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)=0.000000512

6) Once you find all those probabilities, what rule would apply?

the probability is given by (1/5)^n

n=number of victims that pick the same person---------> in this problem = 9

P=(1/5)^9= 0.000000512

5 0

2 years ago

Help? Use the law of sines to find the length of side c

Ahat [919]

<h3>✽ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ a/sinA = c/sinC

Substitute in the values:

37/sin(42) = c/sin(41.5)

Multiply both sides by sin(41.5)

37/sin(42) x sin(41.5) = c

Solve:

c = 36.63999457

The correct answer would be C. 36.64

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0

1 year ago

Read 2 more answers