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Artemon [7]
3 years ago
6

Find the distance if you travel at a rate of 65mph for 7 hours. hint: distance = rate time.

Mathematics
2 answers:
Eva8 [605]3 years ago
7 0
As stated, the answer is rate*time.
Think of it like this:
If you go 65 mph, then in one hour, you'll have gone 65 miles because that's what the unit indicates: miles per 1 hour.
So, 2 hours means 65*2=130 miles, and so on...
So, in 7 hours, it's 65*7=455 miles.
sammy [17]3 years ago
5 0

Answer:455 miles.

Step-by-step explanation:

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Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of
Goryan [66]

Answer:

He can make only one batch of cookies.

Step-by-step explanation:

Just by mental math you can say he can make maximum one batch of cookies.

Total sugar = 10 cups

sugar used for lemonade = 2 cups

leftover sugar = 8 cups

For 1 batch of cookie sugar needed = 11/2

which means 5 and 1/2 cups

And he's just left with 8 cups of sugar after lemonade

8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch

That means the maximum number of cookies batches is 1.

Another way to solve it by inequality:

2+Il/2 X <u><</u> 10

11/2 X <u><</u> 8

11X <u><</u> 16

X <u><</u> 1 6/11

So he can make only one batch of cookies.

3 0
3 years ago
Quadrilateral DEFT has vertices D(2, 7), E(-4, 4), F(5, -6), and T(11, -3). What is the best name for quadrilateral DEFT?
Hoochie [10]

Answer:

parallelogram

Step-by-step explanation:

slope of DE = (4-7) / (-4 - 2) = 1/2

slope of FT = (-3 - -6) / (11-5) = 1/2

DE // FT

slope of EF = (-6 - 4) / (5 - -4) = - 10/9

slope of DT = (-3 - 7) / (11 - 2) = - 10/9

EF // DT

7 0
2 years ago
Esme plans to flip a fair coin 3 times and record the results of each flip.
Feliz [49]

Answer:

⅛

Step-by-step explanation:

P(H&H&H) = ½ × ½ × ½ = ⅛

5 0
3 years ago
Read 2 more answers
(a) A lamp has two bulbs, each of a type with average lifetime 1400 hours. Assuming that we can model the probability of failure
Temka [501]

Answer:

For first lamp ; The resultant probability is 0.703

For both lamps; The resultant probability is 0.3614

Step-by-step explanation:

Let X be the lifetime hours of two bulbs

X∼exp(1/1400)

f(x)=1/1400e−1/1400x

P(X<x)=1−e−1/1400x

X∼exp⁡(1/1400)

f(x)=1/1400 e−1/1400x

P(X<x)=1−e−1/1400x

The probability that both of the lamp bulbs fail within 1700 hours is calculated below,

P(X≤1700)=1−e−1/1400×1700

=1−e−1.21=0.703

The resultant probability is 0.703

Let Y be a lifetime of another lamp two bulbs

Then the Z = X + Y will follow gamma distribution that is,

X+Y=Z∼gamma(2,1/1400)

2λZ∼

X+Y=Z∼gamma(2,1/1400)

2λZ∼χ2α2

The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,

P(Z≤1700)=P(1/700Z≤1.67)=

P(χ24≤1.67)=0.3614

The resultant probability is 0.3614

8 0
2 years ago
Plz help me 22 points..) Todd went out for lunch and ordered the taco dinner for $7.95 and a soda for $1.50 the total cost inclu
White raven [17]

Hi!

You can think of this question like the photos attached above.

Hope this helps! Best of luck!

4 0
3 years ago
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