2 years ago

Solve Linear Equations with Addition and Subtraction Solve for x x+29=−11

Mathematics

1 answer:

aliina [53]2 years ago

6 0

-2 or 2 either one
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Car A travels 20 mph faster than Car B. In the same time that Car A travels 252 miles, Car B travels 196 miles. Find their speed

RoseWind [281]

Answer:

A = 70

B = 90

Step-by-step explanation:

We know that Car A travels 20 mph faster than Car B.

Assuming the speed of Car B to be x and the speed of Car A to be x+20, we can write:

$\frac{196}{x} =\frac{252}{x+20}$

Taking the reciprocal of both sides to make x the subject:

$196(x+20)=252x$

$196x+3920=252x$

$252x-196x=3920$

$56x=3920$

$x=70$ ---> speed of Car A

Finding the speed of Car B: $x+20 = 70+20=90$

Therefore, the speed of Car A = 70 and the speed of Car B = 90.

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2 years ago

Use Gauss's approach to find the following sums (do not use formulas). 1+3+5+7+...999

muminat

$S=1+3+5+\cdots+995+997+999$
$S=999+997+995+\cdots+5+3+1$
$\implies 2S=(1+999)+(3+997)+(5+995)+\cdots+(995+5)+(997+3)+(999+1)$

$2S=\underbrace{1000+1000+\cdots+1000+1000}_{500\text{ times}}$

(We are adding 500 instances of 1000 because that's how many odd numbers there are between 1 and 1000, inclusive.)

$2S=500\times1000=500000$
$\implies S=250000$

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3 years ago

Jayne is making a patchwork quilt. She is following a pattern for a triangular section but only knows the measurements shown. Wh

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Step-by-step explanation:

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