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3 years ago

-2v3 + v75

Mathematics

1 answer:

Lena [83]3 years ago

3 0

Answer:

a) $3\sqrt{3}$

Step-by-step explanation:

Step(i):-

Given - 2 √3 + √75

we know that 25 × 3 = 75

- 2 √3 + √75

= -2 √3 + $\sqrt{25 X 3}$

By using

$\sqrt{ab} = \sqrt{a} \sqrt{b}$

= $-2\sqrt{3} + \sqrt{25} X \sqrt{3}$

= $-2\sqrt{3} + 5 \sqrt{3}$

= $(-2 + 5 ) \sqrt{3}$

= $3\sqrt{3}$

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1 ) During his morning commute to work in rush hour traffic, Justin's average speed was 30 mi/h. During his afternoon commute ba

Hitman42 [59]

Answer:45 mi/h

Step-by-step explanation:

Recall: Speed = distance / time

Let the time taken for the morning journey be $t_{1}$ and the time taken for the afternoon journey be $t_{1}$ ,and the distance covered be d

that means for the first journey,

30 = $\frac{d}{t_{1}}$

d = 30 $t_{1}$

Also for the afternoon journey,

d = 60 $t_{2}$

Equating the two , since the same distance is being covered , we have

30 $t_{1}$ = 60 $t_{2}$

that is

$t_{1}$ = $\frac{60t_{2}}{30}$

$t_{1}$ = 2 $t_{2}$

Also ,

total distance covered = 30 $t_{1}$ + 60 $t_{2}$

Average speed = total distance / total time

= 30 $t_{1}$ + 60 $t_{2}$ / $t_{1}$ + $t_{2}$

Recall that $t_{1}$ = 2 $t_{2}$ , substitute this into the formula for average speed , then we have

Average speed = 30(2 $t_{2}$ ) +60 $t_{2}$ / 3 $t_{2}$

Average speed = 120 $t_{2}$ / 3 $t_{2}$

Therefore :

Average speed = 40 mi/hr

4 0

3 years ago

By how much does a a^3-2a exceed a^2 + a -6

olganol [36]

Answer:

a³ - a² - 3a+ 6

Step-by-step explanation:

we are asked by how much does (a³-2a) exceed (a²+a-6)

in other words, we are being asked to find the difference between the 2 terms above.

Mathematically we are asked to find:

(a³-2a) - (a²+a-6) (expand parentheses by distribution property)

=(a³-2a - a²- a + 6)

= a³ - a² - 3a+ 6 (answer)

8 0

3 years ago

Can someone help me with this please

seropon [69]

Answer: The system of equations is

40x + 55y = 920

40x + 65y = 1000

x is the cost of the adult ticket; y is the cost of the child ticket

Step-by-step explanation:

If you have to solve this, elimination is a good method.

Subtract the top equation from the second equation.

40x + 65y = 1000

<u>-40x + 55y = 920 </u> x cancels Solve for y

0 + 10y = 80 Divide both sides by 10

y = 8 . Substitute 8 for y in either equation and solve for x

40x + 65(8) = 1000

40x + 520 = 1000 Subtract 520 from both sides

40x = 1000 - 520

40x = 480 Divide both sides by 40

x = 12

4 0

3 years ago

You need to buy apples that costs $1.40 per pound. the farmer sells her apples in bags, and your bag is 2.5 pounds. How much did

lana [24]

Answer:

$3.50

Step-by-step explanation:

Let's split 2.5 into 2 separate parts, 2 and .5. To find how much 2 pounds of apples cost, we have to multiply $1.40 by 2. 1.40x2= 2.80. Now we have to figure out how much .5 pounds. To do this, we have to divide 1.40 by 2. We get .7. 2.80+ .7= $3.50 [or 3.5]

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3 years ago

chris runs 2.3 miles every day of the week, except sunday. on sunday he only runs 2 miles. how many miles will he run in 2 weeks

Ludmilka [50]

Answer:

He will run 31.6 miles in two weeks.

Step-by-step explanation:

6 days a week = 2.3 miles

6 days · 2 weeks = 12 days total running 2.3 miles

1 day a week = 2 miles

1 day · 2 weeks = 2 days total running 2 miles

(12 · 2.3) + (2 · 2)

27.6 + 4

31.6 miles

7 0

4 years ago