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2 years ago

In a pack of starbursts, 25% of the

Mathematics

1 answer:

Vilka [71]2 years ago

3 0

Answer: 16 total starbursts.

Step-by-step explanation:

If 25% were pink, then 75% aren't pink. Let x be the total number of starbursts. We know that 75% of x = 12 (the ones that aren't pink). There is insufficient information to determine whether there is even one red starburst.

0.75x = 12

x = 12/(3/4)

x = 48/3

x = 16

There are 16 total starbursts:

25% are pink = 4 pink starbursts

75% aren't pink = 12 non pink starbursts

Total of 16 starbursts.

We can't answer how many were red. We aren't given any indication that there is even one red starburst. All we know is that 12 are not pink.

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Norton measured the mass of his luggage. His luggage mass was 21,530 grams. The airline will only allow luggage that has a mass

aliina [53]

Answer:

Yes

Step-by-step explanation:

One Kilogram is 1000 grams.

21,530/1000=21.53

21.53<23

3 0

3 years ago

Express 5.1146• 10^3 in standard notation

charle [14.2K]

Answer:

5,114.6

Step-by-step explanation:

5.1146 x 10^3 means move decimal point 3 to the right to get the answer

4 0

3 years ago

Use sigma notation to represent the sum of the first six terms of the following sequence: −10, −13, −16, …

SSSSS [86.1K]

Sigma notation of sequence −10, −13, −16, … is $\sum_{n=1}^{6}-(3 n+7)$

<h3>Solution:</h3>

Need to determine the sigma notation for the following sequence

−10, −13, −16, …

Let's try to build a generic formula for given sequence

The given sequence is in Arithmetic progression where first term = -10 and common difference = -3

The formula for arithmetic progression is given as:

$a_n = a_1 + (n - 1)d$

Where,

$a_n$ is the nth term in the sequence

$a_1$ is the first term in the sequence

d is the common difference between the terms

Here in this sequence $a_1$ = -10 and d = -3

$a_n = -10 + (n - 1)(-3)\\\\a_n = -10 - 3n + 3\\\\a_n = -3n - 7$

So generic formula for a term is – ( 3n + 7 )

$\begin{array}{l}{\text { For } \mathrm{n}=1, \text { term is }-(3 \times 1+7)=-10} \\\\ {\text { For } \mathrm{n}=2, \text { term is }-(3 \times 2+7)=-13} \\\\ {\text { For } \mathrm{n}=3, \text { term is }-(3 \times 3+7)=-16}\end{array}$

And so on

Using sigma notation for arithmetic sequence:

$\sum_{k=1}^{n} a_{k}$

So for first six terms value of n will vary from 1 to 6 and in sigma notation it can be represented as

$\sum_{n=1}^{6}-(3 n+7)$

3 0

3 years ago

Equation of the line slope with slope -3 and the passes through (2,-1)

Anni [7]

Answer:

The equation of the line with slope -3 and passes through (2,-1) is y = -3x + 5

Solution:

In the question it is given that the line passes through the point (2,-1) with slope (m) = -3. We have to find out the point slope form and slope intercept form of the equation.

We know the point - slope form of an equation is given by

$\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)$

$\text { Here } y_{1}=-1 \text { and } x_{1}=2 \text { and the slope } m=-3$

Substituting the values in the point slope form of the equation we get

(y-(-1)) = -3(x-2)

(y+1) = -3 (x-2) is the point slope form of given line

We know the slope intercept form of a line is given by

y = mx +c

Here y = -1 , x = 2 and m = -3

Substituting the values in slope intercept form equation we get

-1 = (-3)2 + c

⇒-1 = -6 + c

⇒-1+6 = c

c = 5

Thus the slope intercept form of equation is y = -3x+5

4 0

3 years ago

At an ice cream shop, a person can choose from 3 different

icang [17]

Answer:

Step-by-step explanation:

3 + 5 + 5 = 13

that is the answer

3 0

3 years ago