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3 years ago

30, 38 and 40 please

Mathematics

1 answer:

velikii [3]3 years ago

6 0

3(6-4x)-27x=10x-31

18-12x-27x=10x-31

18-39x=10x-31

-49x=-49

Therefore, x=1.

s/6-s/2+1=45/2.

s-3s+6=135

-2s=129

Therefore, $s=-\frac{129}{2}$ .

2(b+5)=3(4-b)

2b+10=12-3b

5b=2

$b=\frac{2}{5}$

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Ben jogged 4 and 1/2 miles in 1 and 1/4 hours at a constant rate. How far did Ben jog in one hour? *

Mrac [35]

let's firstly convert the mixed fractions to improper fractions and then proceed.

$\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill$

$\begin{array}{ccll} miles&hours\\ \cline{1-2} \frac{9}{2}&\frac{5}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{9}{2}~~}{x}=\cfrac{~~ \frac{5}{4}~~}{1}\implies \cfrac{~~ \frac{9}{2}~~}{\frac{x}{1}}=\cfrac{5}{4}\implies \cfrac{9}{2}\cdot \cfrac{1}{x}=\cfrac{5}{4} \\\\\\ \cfrac{9}{2x}=\cfrac{5}{4}\implies 36=10x\implies \cfrac{36}{10}=x\implies \cfrac{18}{5}=x\implies 3\frac{3}{5}=x$

7 0

2 years ago

One dozen eggs cost $1.98 how much does 1 egg cost

RSB [31]

I think it would be 15 cents!

5 0

3 years ago

Read 2 more answers

Mac has 1/4 hour left of track practice and must be completed 8 laps around the track before he leaves which equation can be use

telo118 [61]

Answer:

(a) $Unit = \frac{1}{4}/8$

Step-by-step explanation:

Given

$Time = \frac{1}{4}$

$Lap = 8$

Required

Determine the time in each lap

The unit time in each lap is calculated by dividing the total time by the number of laps; i.e.;

$Unit = \frac{Time}{Lap}$

Substitute values for Time and Lap

$Unit = \frac{1}{4}/8$

5 0

3 years ago

Point c is the center of dilation. line segment b a is dilated to create line segment b prime a prime. the length of c a is 4. t

pychu [463]

The scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.

<h3>What is the dilation of the figure?</h3>

Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.

Point c is the center of dilation. Line segment BA is dilated to create line segment b prime, a prime. The image of the given problem is attached below. The length of CA is 4.

$CA=4$

The length of a prime is 16.

$AA'=16$

The new dimension will be,

$CA'=CA+AA'\\CA'=4+16\\CA'=20$

Now, the scale factor is the ratio of the new dimension to the original dimension. Thus, the scale factor of the dilation is,

$r=\dfrac{20}{4}\\r=5$

This will be the same for the line segment BA. Thus, the scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.

Learn more about the dilation of the figure here;

brainly.com/question/3457976

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2 years ago

9р - Зр equivalent expression

Vesnalui [34]

Answer:

Step-by-step explanation:

9p - 3p needs to have the like terms combined. 9 - 3 is 6, and since you have to keep the p, the answer is 6p.

7 0

2 years ago