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3 years ago

(01.02 LC)Simplify -4 1/7 (-6 1/3)

Mathematics

2 answers:

Rina8888 [55]3 years ago

6 0

The incorrect answer is -10 1/2
So your answer will be
Answer = -10 1/2

Korvikt [17]3 years ago

6 0

Answer:

-10 1/2

Step-by-step explanation:

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A landscaper, who just completed a rectangular flower garden measuring 15 feet in length by 7 feet in width, orders 1 cubic ya

grin007 [14]

The width of the border will be 0.1648... ft or 1.9786... inches.

Explanation

Lets assume, the width of the border is $x$ ft.

The rectangular garden is 15 ft in length and 7 ft in width. So, the area of the garden $=(15*7)ft^2= 105 ft^2$

Now, the length of the garden including border $=(15+2x) ft$ and the width of the garden including border $=(7+2x) ft$

So, the area of the garden including the border $= (15+2x)(7+2x) ft^2$

Thus the area of the border $=[(15+2x)(7+2x)-105] ft^2$

Total amount of premixed cement needed is 1 yard³ = 27 ft³

As the depth of the border is 44 inches or $(\frac{44}{12})ft$ or $(\frac{11}{3})ft$ , so....

$\frac{11}{3}[(15+2x)(7+2x)-105] = 27\\ \\ 11(105+44x+4x^2 -105)=81\\ \\ 11(4x^2+44x)=81\\ \\ 44x^2+484x-81=0$

Using quadratic formula....

$x= \frac{-484+/-\sqrt{484^2-4(44)(-81)}}{2(44)}\\ \\ x= \frac{-484+/-\sqrt{234256+14256}}{88}\\ \\ x= \frac{-484+/-\sqrt{248512} }{88}\\ \\ x= 0.1648...$

(Negative value ignored)

So, the width of the border $=0.1648...ft= (0.1648...*12)inches= 1.9786...inches$

5 0

3 years ago

Simplify: (3–a)·2+a =

IrinaK [193]

Answer:

The simplified form of the given expression is 6-a.

Step-by-step explanation:

The given expression is

$(3-a)\cdot 2+a$

According to distributive property.

$a\cdot (b+c)=ab+ac$

Use distributive property.

$3(2)-a(2)+a$

$6-2a+a$

Combine like terms.

$6+(-2a+a)$

$6-a$

Therefore the simplified form of the given expression is 6-a.

8 0

3 years ago

When the temperature is 68°F, the speed of sound in air is approximately 343 meters per second. Approximately how many kilometer

BabaBlast [244]

Well,

We have our initial unit of speed: 343 m/s.

We want to find how many kilometers sound will travel when the air is at 68 degrees in five seconds.

Step 1: Multiply 343 by five. (1 sec. to 5 secs.)
343 * 5 = 1715

Step 2: Divide 1715 by 1000. (1 m. to 0.001 km)
1715/1000 = 1.715 km/5 secs.

At a temperature of 68°, sound will travel 1.715 km in 5 seconds.

4 0

3 years ago

Read 2 more answers

$17.99 with a 9.8 percent tax

xenn [34]

$19.75

Hope this helps! If it did please rate my answer a 5-star, hit the thanks [heart] button, and mark as brainliest! If you need any more help on anything, feel free to ask! Have an amazing rest of your day and stay safe! xx

4 0

3 years ago

Read 2 more answers

Is 789 a terminating decimal

algol [13]

No, because a terminating decimal means that it does HAVE a decimal point. if it was a terminating decimal, it would look like 7.89

terminating means "end", if a number
-has a decimal point in it
-doesnt have the repeating sign over top of a number after the decimal (thats a repeating decimal)
then you can conclude that it is a terminating decimal.

7 0

3 years ago