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2 years ago

Round to the nearest benchmark fraction 5/9

1 answer:

5 0

1/2 because 5/9 is equivalent to 10/18. Half of 18 is 9 and 10 is close to 9 so the nearest benchmark fraction you should round to is 1/2. Hope this helps you!

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Identify the 17th term of a geometric sequence where a1 = 16 and a5 = 150.06. Round the common ratio and 17th term to the neares

Mashutka [201]

The geometric sequence formula is expressed as an = a1 * r^(n-1) where n is an integer. In this case, upon substitution, 150.06 = 16 * r^(4). extracting r, r is equal to 1.75. Hence the 17th term from the formula is equal to 123802.32.

8 0

2 years ago

Read 2 more answers

A study analyzed the average yearly salt intake in the United States from 2012 thru 2017. The data is summarized in the table: Y

Nuetrik [128]

Answer:

Is an estimate of the average grams of salt used in 2012

Step-by-step explanation:

Let

x ---> the number of years since 2012

f(x) ---> is the total amount of salt ingested in grams

we have

$f(x)=52.3x+3.548$

This is a linear equation in slope intercept form

where

The slope is equal to

$m=52.3\ grams/ year$

The y-intercept or initial value is equal to

$b=3,548\ grams$

The y-intercept is the value of the function f(x) when the value of x is equal to zero

In this context, the y-intercept is the average amount of grams of salt ingested in the year 2012

The exact value of the average amount of grams of salt ingested in the year 2012 is 3,554 grams (see the data in the table)

Compare the exact value with the y-intercept

$3,554\ g\neq 3,548\ g$

therefore

3,548 grams Is an estimate of the average grams of salt used in 2012

7 0

2 years ago

Rachel, Adam, Michelle, Hannah, and James are going to the movies. They have $65 to spend on tickets and snacks. Each movie tick

Ann [662]

Answer:

1. By substitution property of inequality

5(9.5)+4.5 $\leq$ 65

2. By using multiplication in equality then we get

47.5+4.5x $\leq$ 65

3. The five friends will have 3 snacks to split.

Step-by-step explanation:

Given

Five friends have total money= $65

Cost of each movie ticket= $9.50

Cost of each snack item= $4.50

Let ,five friends have total snacks = x

Total movie tickets=5

Because total number of friends=5

The inequality expressionis given by

I Step: $5(9.5)+4.5x\leq 65$

Reason: By using substitution property of inequality

$47.5+4.5x\leq 65[/tex2. Step :[tex]4.5x[tex]\leq$ 65-47.5[/tex]

$4.5x\leq 17.5$ ( by subtarction 47.5 from both sides)

$x\leq \frac{17.5}{4.5}$ ( by dividing 4.5 on both sides )

<h3> $x\leq 3.889$ (by simplication)</h3><h3> $x=3$ </h3>

Because they can buy maximum 3 snacks .

Beacause the number of snacks is natural number so we can't take in rational numbers.

<h3>Hence, the five friends will have 3 snacks to split.</h3>

6 0

2 years ago

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After Luca took his dogs for a walk, he gave them 6 dog treats. When Luca's dad got home from work, he gave the dogs t more trea

seraphim [82]

The equation would be 6+t=10 because they got 6 and then they got p which totaled 10

I hope I've helped!

4 0

2 years ago

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The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Spo

irina [24]

Answer:

Step-by-step explanation:

$2790 is shares equally between 3 committees. each committee would get - $2790 / 3 = $930

If a shirt costs $12 and the Sports Committee gets $930, the committee would get $930 / $12 = 77.5

The committee cannot get half a shirt, so the greatest number of shirt that can be purchased is 77

6 0

2 years ago