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3 years ago

What is 2 8/15+ 1 1/30

Mathematics

2 answers:

Andrei [34K]3 years ago

8 0

The answer is 3 17/30

Mice21 [21]3 years ago

3 0

Answer:

3 17/30

Step-by-step explanation:

In order to do this problem, we have to get the two fractions to have the same denominator

So we change 2 8/15 into 2 16/30 (multiplying both the numerator by 2, if you don't know why this works then ask me) and then we just add. So 2 16/30 + 1 1/30 = 3 17/30

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Help pls, will mark brainliest

BaLLatris [955]

Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;

The n'th term of a Arithmetic Sequence let's say it be ${\sf T_n}$ is given by ;

${\boxed{\bf T_{n}=T_{1}+(n-1)d}}$

Where , <u>d</u> is the common difference

Now , here we are given with ;

${\quad \qquad \sf \blacktriangleright \blacktriangleright \blacktriangleright T_{1}=8 \: and \: T_{5}=-4}$

We have to find the 2nd , 3rd and 4th term respectively ,

Now , by using the above formula , 5th term can be written as ;

${: \implies \quad \sf T_{1}+(5-1)d=T_{5}}$

Putting the values and transposing 1st term to RHS , we have ;

${: \implies \quad \sf 4d = -4-8}$

${: \implies \quad \sf d=-\dfrac{12}{4}}$

${: \implies \quad \sf d=-3}$

Now , as we got the common difference , so we can find out the missing terms now ;

${: \implies \quad \sf T_{2}= T_{1}+(2-1)d}$

${: \implies \quad \sf T_{2}= 8 +d}$

${: \implies \quad \sf T_{2}= 8-3}$

${: \implies \quad \bf \therefore \: T_{2}= 5}$

Now

${: \implies \quad \sf T_{3}= T_{1}+(3-1)d}$

${: \implies \quad \sf T_{3}= 8 +2d}$

${: \implies \quad \sf T_{3}= 8-6}$

${: \implies \quad \bf \therefore \: T_{3}= 2}$

Also ,

${: \implies \quad \sf T_{4}= T_{1}+(4-1)d}$

${: \implies \quad \sf T_{4}= 8 +3d}$

${: \implies \quad \sf T_{4}= 8-9}$

${: \implies \quad \bf \therefore \: T_{4}= -1}$

Now , The given table can be written as ;

${\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \bf n & \sf 1 & 2 & 3 & 4 & 5 \\ \cline{1-6} \bf T_{n} & \sf 8 & 5 & 2 & -1 & -4 \end{array}}$

Note :- Kindly view the answer from web , if you're not able to see the full answer from here ;

brainly.com/question/26750175

8 0

3 years ago

If the front of a playhouse is shown in a scale drawing and the height of the door is 1.8 inches. The scale that maps the drawin

tatyana61 [14]

Answer:

4.5 feet

Step-by-step explanation:

Here, we are concerned with calculating the actual height in feet of the door given the scale used in the maps drawing.

In the scale, scale to actual is 1 inch to 2.5 feet

let 1.8 inch scale = x actual feet

Thus mathematically, by cross multiplying; we have;

x = 2.5 * 1.8 = 4.5 feet

4 0

3 years ago

Write down the equation of a straight line that is parallel to y = 4x+2

ELEN [110]

Answer:

y = 4x + 5

Step-by-step explanation:

anything with the slope of 4x is parallel to the given equation. therefore, there are an infinite amount of answers.

<u>so, y = 4x + any number</u>

hope this helps!<3

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2 years ago

Name the property of equality that justifies the statement: rs = rs

harkovskaia [24]

A. reflexive property
hope it helps.

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3 years ago

Read 2 more answers

Isosceles trapezoid ABCD has diagonals AC and

Korvikt [17]

Answer:

ans is x=3

Step-by-step explanation:

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3 years ago