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2 years ago

7

A typical small bag of colored candies has about 135 candies in it, 27 of which are blue.At this rate,how many blue candies woul

d you expect in a pile of 1000 colored candies?

1 answer:

borishaifa [10]2 years ago

4 0

There are 135 colored candies in a small typical bag, in which in every 135 colored candies, there are 27 blue candies.
Now, if there are 1 000 pile of colored candies, how much is the total number of blue candies.
First, let’s identify how many 135 candies are there in 1 000 candies
=> 1 000 / 135
=> there are 7.407407…. repeating decimals.
Now, let’s multiply this by 27
=> 7.407… x 27
= 200, thus, there are 200 blue candies in 1000 pile of colored-candies.

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Are y = 1/4 -2 and y = 1/4 + 2 parallel?

zhenek [66]

Answer:

yes because the slope is equal. so these two lines are parallel.

3 0

2 years ago

What is your sister’s total cost under each of the two plans?2. Suppose your sister doubles her monthly usage to 3,500 minutes a

chubhunter [2.5K]

Answer:

(1) The total cost under Plan A is <u>$92</u> and the total cost under Plan B is <u>$515</u>.

(2) The total cost under Plan A is <u>$92</u> and the total cost under Plan B is <u>$1,030</u>.

Step-by-step explanation:

<u><em>The question is incomplete, so the complete question is below:</em></u>

$A\ cell \ phone \ company\ offers\ two \ different \ plans.$

$Plan\ A\ costs\ \$92\ per\ month\ for\ unlimited\ talk\ and\ text.\ Plan\ B\ costs \ $0.20\ per\ minute\ plus\ \$0.10\ per\ text\ message\ sent.$ $You\ need \ to\ purchase \ a \ plan \ for\ your \ 14-year-old \ sister$ $.Your\ sister\ currently \ uses\ 1,750 \ minutes\ and \ sends\ 1,650 \ texts\ each \ month.$ $(1) What\ is\ your \ sister's\ total\ cost\ under \ each\ of\ the\ two\ plans?$

$(2) Suppose\ your\ sister\ doubles\ her\ monthly\ usage \ to\ 3,500\ minutes \ and\ sends\ 3,300 \ texts.$ $What \ is \ your \ sister's \ total \ cost \ under \ each \ of \ the \ two \ plans?$

Now, to find (1) total cost for each of the two plans. (2) Total cost under each of the two plans, if sister doubles her monthly usage to 3,500 minutes and sends 3,300 texts.

<h3>(1) </h3>

As, the Plan A is for unlimited talk and text

Cost of the Plan A = $92.

<u><em>Now, to find the cost under Plan B:</em></u>

According to question:

Rate of call per minute is $0.20 and per text is $0.10.

Calls she uses currently is 1,750 minutes and text 1,650.

<u><em>So, to get the cost of Plan B:</em></u>

$0.20\times 1750+0.10\times 1650$

$=350+165$

$=515.$

Thus, Plan B costs $515.

<h3>(2)</h3>

<u><em>Now, to get the total cost as, sister doubles her monthly usage to 3,500 minutes and sends 3,300 texts.</em></u>

As, the Plan A is same in both cases and is for unlimited text and calls.

So, cost of Plan A = $92.

As, the monthly usage is double.

Calls in minutes are 3,500.

Texts are 3,300.

<u><em>Now, to get the total cost under Plan B:</em></u>

$0.20\times 3500+0.10\times 3300$

$=700+330$

$=1030.$

Hence, the cost of Plan B = $1,030.

Therefore, (1) The total cost under Plan A is $92 and the total cost under Plan B is $515.

(2) The total cost under Plan A is $92 and the total cost under Plan B is $1,030.

7 0

2 years ago

Find a polynomial with a degree of 3 and zeros -3,3,5

Aliun [14]

Answer:

f(x) = x³ - 5x² - 9x + 45

Step-by-step explanation:

Given x = a, x = b are the zeros of a polynomial, then

(x - a), (x - b) are the factors and f(x) is the product of the factors.

Here the zeros are x = - 3, x = 3 and x = 5, thus

(x + 3), (x - 3) and (x - 5) are the factors and

f(x) = (x + 3)(x - 3)(x - 5) ← expand the first pair of factors using FOIL

= (x² - 9)(x - 5) ← distribute

= x³ - 5x² - 9x + 45

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3 years ago

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wlad13 [49]

Answer:

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Step-by-step explanation:

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8 0

2 years ago

Jason decided to look at new trucks. Jason found a used truck for 34,000 dollars. A new truck is 40,000 dollars so what percent

nexus9112 [7]

Answer:

Percent of rise of a new truck on a used truck = 15%

Step-by-step explanation:

Let x be the percentage of saved money if Jason buying a used truck.

Given:

Price of the used truck = $34,000

Price of the new truck = $40,000

We need to find the percent of rise Jason saves on a used truck rather than buying a new truck

Solution:

Using a percentage formula.

$percentage\ cost = \frac{(100-x)}{100}\times Original\ cost$

Substitute Percentage cost = 34,000 and Original cost = 40,000 in above formula.

$34000 = \frac{(100-x)}{100}\times 40000$

$34000 = (100-x)\times 400$ ( $\frac{40000}{100}=400$ )

Using cross multiplication rule.

$(100-x)=\frac{34000}{400}$

$85=100-x$

$x = 100-85$

x = 15%

Therefore, Jason used 15% rise of a new truck for a used truck.

6 0

3 years ago