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Helga [31]
3 years ago
14

Gracie drove 280 miles in 2.5 hours. How long will it take her to drive 710 miles at that same speed?

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

Step-by-step explanation:

710 miles × (2.5 hours)/(280 miles) ≅ 6.3 hours

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What is 10 8by13 add 4 24by49. these numbers are in mixed fraction​
kvv77 [185]

Answer:

7048/637

Step-by-step explanation:

10 8/13 + 4 24/49

138/13 + 220/49

taking LCM

(138*49 + 220*13) / (13*49)

7048 / 637

4 0
3 years ago
Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. Check your answer by noting that the curve is
Reptile [31]

Answer:

4\sqrt{17}

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}

Now, using the distance formula we have:

d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }

y(-1)=4*(-1)-5=-9 \\y(3)=4*(3)-5=7

So we have two points (-1, -9) and (3, 7) so:

d=\sqrt{(3-(-1))^{2} +(7-(-9))^{2} }=4\sqrt{17}

Notice both equations gave the same length 4\sqrt{17}.

5 0
3 years ago
2 divided by what times what equals 7
g100num [7]

Answer:

<h2><u><em>2/7</em></u></h2>

Step-by-step explanation:

I answer for what I understand, the question is not clear.

2 divided by what times what equals 7

2 : x = 7

x = -2/-7

x = 2/7

-------------

check

2 : 2/7 = 7

2 * 7/2 = 7

7 = 7

the answer is good

5 0
2 years ago
Graph the line that has a slope of 8 and includes the point (0,2).
Marrrta [24]
Graph the point (0,2). From there go up 8 points and right 1 point. Again, from the point (0,2) go down 8 points and left 1 point. Hope this helps!
4 0
2 years ago
Can someone answer these questions ? thank you
Naya [18.7K]

Answer:

Step-by-step explanation:

12a)To rationalize the denominator, multiply the denominator and numerator by √5.

\frac{15}{\sqrt{5}}=\frac{15*\sqrt{5}}{\sqrt{5}*\sqrt{5}}\\\\=\frac{15\sqrt{5}}{5}\\\\=3\sqrt{5}

b) (a+b)² = a² + 2ab + b²

(1 +√3)² = 1² + 2*1*√3 + (√3)²

= 1 + 2√3 + 3

= 4 + 2√3

a = 4 ; b =2

13) (a + b)(a - b) = a² - b²

\frac{(6-\sqrt{5})(6+\sqrt{5})}{\sqrt{31}}=\frac{6^{2}-(\sqrt{5})^{2}}{\sqrt{31}}\\\\ =\frac{36-5}{\sqrt{31}}\\\\=\frac{31}{\sqrt{31}}\\\\=\frac{31*\sqrt{31}}{\sqrt{31}*\sqrt{31}}\\\\=\frac{31\sqrt{31}}{31}\\\\=\sqrt{31}

5 0
3 years ago
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