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laila [671]
3 years ago
6

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
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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}

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Required

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Unit = \frac{Time}{Lap}

Substitute values for Time and Lap

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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

8 0
2 years ago
9р - Зр equivalent expression​
Vesnalui [34]

Answer:

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