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natta225 [31]
2 years ago
10

Evaluate 4a for a = 5 . Express your answer in simplest form. 20 22 45 20

Mathematics
2 answers:
stealth61 [152]2 years ago
8 0

Answer: \large \boldsymbol {\sf 22\dfrac{2}{3} }

Step-by-step explanation:

\displaystyle \large \boldsymbol {}  \sf  Find   \  \  4 a   \ \ ;  \ \  if  \  a=5\frac{2}{3}  \\\\1-st \  method \\\\ 5\frac{2}{3} =5+\frac{2}{3} \ \  then   \\\\ 4\cdot \bigg(5+\frac{2}{3} \bigg)=4\cdot 5+ \frac{4\cdot 2}{3} =20+\frac{8}{3}  =20+2\frac{2}{3} =\boldsymbol {\sf 22 \frac{2}{3} } \\\\\\ 2-nd \  \  method  \\\\ 5\frac{2}{3} =\frac{5\cdot 3+2}{3} =\frac{17}{3}  \\\\\\ 4\cdot \bigg( \frac{17}{3}  \bigg) =\frac{4\cdot 17}{3} =\frac{68}{3} =\boldsymbol {\sf 22 \frac{2}{3}}

Viefleur [7K]2 years ago
3 0

\\ \sf\longmapsto 4(5\dfrac{2}{3})

\\ \sf\longmapsto 4\times \dfrac{17}{3}

\\ \sf\longmapsto \dfrac{68}{3}

\\ \sf\longmapsto 22\dfrac{2}{3}

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One sixpack of soda has six cans. How many cans are there in six sixpacks of soda?
Lady_Fox [76]

Answer:

36 cans

Step-by-step explanation:

6*6=36

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2 years ago
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Which sign makes the statement true? (3 × 7) 21 = 1
Aleksandr-060686 [28]

The sign that would make the statement true is the division sign which would then make the full expression, (3 × 7) ÷ 21 = 1.

<h3>How to find the sign?</h3>

The statement given is (3 × 7) 21 = 1. There is therefore a need to find the sign that would be between the brackets and "21" which would lead to the answer being 1.

The brackets have to be solved first according to the PEMDAS rule which calls for parenthesis being solved first.

Solving the expression in the brackets gives:

= 3 x 7

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We therefore need a sign that when related to 21 would give the result, 1.

The only sign that can relate 21 to 21 such that the answer would be 1, is division:
= 21 / 21

= 1

In conclusion, the sign that would make the statement true is a division sign.

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1 year ago
PLEASE ANSWER THIS QUESTION RIGHT Name the x-intercept(s)?<br> A:0 and 4,B:2,C:4,D:0.
harina [27]

Answer:

A. 0 and 4

Step-by-step explanation:

The x-intercepts are simply the values of x when y = 0. In other words it is the points where the line curve intercepts or cuts across the x-axis.

Form the graph given, we can see that at x = 0 and x = 4, the value of y = 0. Simply put, the curve cuts the x-axis at x = 0 and x = 4.

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3 years ago
An apartment cost $870 per month to rent. The owner raises the price by 20% and then gives a discount of 8% to returners who sig
Aloiza [94]

Answer:

$34.8

Step-by-step explanation:

Given data

Cost of apartment= $870 per month

increase= 20%

Discount= 8%

Let us find the amount of increase

=20/100*870

=0.2*870

=$174

New cost = 870+174

=$1044

New cost of apartment for 18 month

=1044*18

=$18792

He gave them 8% discount

=8/100*18792

=0.8*18792

=$15033.6

Hence the monthly fee will be

=15033.6/18

=$835.2

Therefore the difference in price is

=870-835.2

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5 0
3 years ago
Write the slip-intercept form of the equation of the line described
kompoz [17]

Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

<u>Point-slope form:</u>

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= \frac{5}{6}

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

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Thus the equation of the line is y =  \frac{5}{6} x - 2 \frac{1}{3}.

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Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

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= \frac{8}{3}

y =  \frac{8}{3} x + c

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3 =  \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c =  - 5

Thus the equation of the line is y =  \frac{8}{3} x - 5.

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3 years ago
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