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ValentinkaMS [17]
3 years ago
9

Using the formula r = d/t where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you tr

avel to cover 337.5 miles in 4.5 hours?
Mathematics
2 answers:
mote1985 [20]3 years ago
6 0
75 is the answer for the rate
BlackZzzverrR [31]3 years ago
3 0

Answer:

75 miles/hour

Step-by-step explanation:

Given information: d=337.5 miles and t=4.5 hours.

The given formula is

r=\frac{d}{t}

where d is the distance in miles, r is the rate, and t is the time in hours.

We need to find the rate for d=337.5 miles and t=4.5 hours.

Substitute d=337.5 and t=4.5 in the above formula.

r=\frac{337.5}{4.5}

r=75

The value of r is 75, therefore we need to travel at the rate of 75 miles per hours to cover 337.5 miles in 4.5 hours.

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length is 24 cm, width is 8 cm

Step-by-step explanation:

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3 years ago
What is the area of this trapezoid
balandron [24]

Answer:

640.5 cm^2

Step-by-step explanation:

So the formula for trapezoid is height times the average of the bases. So 25+36=61, and then we divide that by 2 to get 30.5 as our average. Then, we take 30.5 and multiply it by 21 and we get 640.5.

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3 years ago
Read 2 more answers
HELP PLEASE <br><br>must show work<br><br>​
Setler79 [48]

Answer:

a) 4x -y = 2; (1/2, 0), (0, -2)

b) 3x +y = 5; (5/3, 0), (0, 5)

c) 5x -y = -3; (-3/5, 0), (0, 3)

d) x -y = 7; (7, 0), (0, -7)

e) 8x +y = -12; (-3/2, 0), (0, -12)

Step-by-step explanation:

The form you have is ...

y = -Ax +C . . . . . where B = 1

You can simply rearrange the coefficients to get the form you want.

For (a), you can identify -A = 4, so A = -4, and C = -2. In the desired form, the equation is then ...

-4x +y = -2

"Standard form" requires the leading coefficient be positive, so you now need to multiply the entire equation by -1:

4x -y = 2

I suspect either of the above answers will satisfy your grader, but I like the latter form better. So, the answers below have the equation multiplied by -1 when A is negative to start with.

Since the given equation is already in slope-intercept form, the y-intercept is read directly from the equation as C.

The x-intercept is the value C/A, where you do need to pay attention to the signs.

Again, for (a), the y-intercept is already known to be -2; the x-intercept is ...

C/A = -2/-4 = 2/4 = 1/2.

___

a) A=-4, C=-2, x-intercept = C/A = -2/-4 = 1/2, y-intercept = C = -2. Equation in standard form is 4x -y = 2

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b) A=3, C=5, x-intercept = C/A = 5/3, y-intercept = C = 5. Equation in standard form is 3x+y=5

__

c) A=-5, C=3, x-intercept = C/A = 3/-5 = -5/3, y-intercept = C = 3. Equation in standard form is 5x -y = -3

__

d) A=-1, C=-7, x-intercept = C/A = -7/-1 = 7, y-intercept = C = -7. Equation in standard form is x -y = 7

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e) A=8, C=-12, x-intercept = C/A = -12/8 = -3/2, y-intercept = C = -12. Equation in standard form is 8x +y = -12

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3 years ago
You put $500 in the bank, where it ears 1.5% simple interest every year. How long until your money will triple?
zzz [600]

Answer:

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Step-by-step explanation:

Given that:

Principal = $500

Interest rate (r) = 1.5% = 0.015

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Number of years (t) =?

Using the relation :

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1500 / 500 = 1 + 0.015t

3 = 1 + 0.015t

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2 / 0.015 = 0.015t / 0.015

133.333 = t

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3 years ago
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Mrac [35]

Answer:

2488.80 divided by 3=838.1

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