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2 years ago

Each marker weighs 10 g There are 8 markers in a pack. How much do all the markers weigh?

Mathematics

1 answer:

Ilya [14]2 years ago

8 0

80 g 10 times 8 is 80 so the answer should be 80g

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Solving Rational equations. LCD method. Show work. Image attached.

Dmitry [639]

Answer:

$b=1$

Step-by-step explanation:

The given rational equation is

$\frac{2b-5}{b-2} -2=\frac{3}{b+2}$

The Least Common Denominator is $(b+2)(b-2)$ .

Multiply each term in the equation by the LCD.

$(b+2)(b-2)\times \frac{2b-5}{b-2} -(b+2)(b-2)\times2=(b+2)(b-2)\times\frac{3}{b+2}$

Simplify;

$(b+2)\times \frac{2b-5}{1} -2(b+2)(b-2)=(b-2)\times\frac{3}{1}$

$(b+2)(2b-5) -2(b+2)(b-2)=3(b-2)$

Expand and group similar terms

$2b^2-5b+4b-10 -2(b^2-4)=3b-6$

$2b^2-5b+4b-10 -2b^2+8=3b-6$

$-b-2=3b-6$

$3b+b=-2+6$

$4b=4$

$b=1$

3 0

3 years ago

The prevalence of cigarette smoking in the united states is in decline if the percentage of smokers in 2014 was 16.7% and the pe

astraxan [27]

The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:

$a(n) = -5.6n + 16.7$

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.

In this problem:

The percentage of smokers in 2014 was 16.7%, hence the initial value is $b = 16.7$

The percentage is decreasing by 5.6% each year, hence the slope is $m = -5.6$ .

Then, the <em>equation </em>is:

$y = mx + b$

$a(n) = -5.6n + 16.7$

You can learn more about linear functions at brainly.com/question/24808124

7 0

2 years ago

write an equation of a line with the given slope and y-intercept. m = –2, b = 4 y = 4x – 2 y = –2x – 4 y = -1/2x 4 y = –2x 4

kirill [66]

Y = mx + b

m = -2, b = 4

<span>y = -2x + 4</span>

4 0

3 years ago

Read 2 more answers

Show your working please.

iren2701 [21]

Offer B is the best value for money because each kg cost is £0.61 and in offer 'A' each kg cost is £0.7.

<h3>What is a fraction?</h3>

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:
2 bags for £35

2 bags means 50 kg (2×25)

Each kg cost = 35/50 = £0.7 per kg

3 bags for £92.50

3 bags means 150 kg

Each kg cost = 92.50/150 = £0.61 per kg

As we can see, offer B has a low cost per kg

Thus, offer B is the best value for money because each kg cost is £0.61 and in offer 'A' each kg cost is £0.7.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ1

6 0

2 years ago

7x to the power of 2 is a what is it<br>a) monomial<br>b) binomial<br>c) Trinomial

Sedaia [141]

You can use the prefixes to figure this out:
Mono: one
Bi: two
Tri: three

So, because there is only one term, it is a monomial.

4 0

2 years ago