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nika2105 [10]
3 years ago
11

Enter an equation that can be used to solve this problem, where x represents the number of hours that Roberto had been traveling

. Roberto left his parent's house at 11 A.M. traveling at an average rate of 30 mph. His parents left their house at 12 P.M. traveling at an average rate of 45 mph going the same way as Roberto so that they could catch up to him. After how many hours will it take Roberto's parents to catch up to him? Enter the amount of hours after Roberto left that it will take Roberto's parents to catch up to him (assume that they do not stop). Equation: h
Mathematics
1 answer:
nalin [4]3 years ago
6 0
45mph x35 mph = 1 hour
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Tell whether x and y show direct variation. Explain your reasoning. y−x=0
Jlenok [28]

Answer:

yes

Step-by-step explanation:

Direct variation is represented as

y = kx, where k is a constant.  

We can rewrite y - x = 0 as

    y = x   (add x to both sides)

This can be looked at as

  y = (1)x     , so this is a direct variation relationship where k = 1

7 0
3 years ago
Two numbers are in ratio of 3 : 4.If their sum is 133 ,find the number. Help
sergiy2304 [10]

<em>Let </em><em>the </em><em>two </em><em>numbers </em><em>be </em><em>3x </em><em>and </em><em>4x</em>

<em>sum </em><em>=</em><em>3x </em><em>+</em><em> </em><em>4x </em><em>=</em><em> </em><em>7x</em>

<em>7x </em><em>=</em><em> </em><em>133</em>

<em>x=</em><em> </em><em>19</em>

<em>the </em><em>numbers </em><em>are </em><em>:</em>

<em>3(</em><em>1</em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>57</em>

<em>4(</em><em>1</em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>76</em>

6 0
3 years ago
Read 2 more answers
What is the area of triangle DEF
kolezko [41]

Answer:

76.5 cm²

Step-by-step explanation:

Given the triangles are similar , then

ratio of sides = a : b , so

ratio of areas = a² : b²

Here ratio of sides = 9 : 13.5 = 2 : 3

ratio of areas = 2² : 3² = 4 : 9

let x be the area of Δ DEF and using proportion

\frac{4}{34} = \frac{9}{x} ( cross- multiply )

4x = 306 ( divide both sides by 4 )

x = 76.5

The area of Δ DEF = 76.5 cm²

3 0
3 years ago
Someone who explain me please
kotykmax [81]
First you need to isolate the variable so for #1 I would add 2t on both sides and add 3 on both sides. That makes the inequality -4t<-16. Then divide both sides by -4 to get t<4. This means that t is less than 4 so you need to draw an open circle on four on the number line and draw an arrow pointing to everything less than 4. ( If the inequality is equal to and less than/ greater than a # shade in the circle.)
5 0
3 years ago
The number of typing errors made by a typist has a Poisson distribution with an average of seven errors per page. If more than s
Aleks [24]

Answer:

0.599  is the probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

We are given the following in the question:

The number of typing errors made by a typist has a Poisson distribution.

\lambda  =7

The probability is given by:

P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}

We have to find the probability that a  randomly selected page does not need to be retyped

P(less than or equal to 7 mistakes in a page)

P( x \leq 7) = P(x =1) + P(x=1) +...+ P(x=6) + P(x = 7)\\\\= \displaystyle\frac{7^0 e^{-7}}{0!} + \displaystyle\frac{7^1 e^{-7}}{1!} +...+ \displaystyle\frac{7^6 e^{-7}}{6!} + \displaystyle\frac{7^7 e^{-7}}{7!} \\\\= 0.59871\approx 0.599

Thus, 0.599  is the probability that a randomly selected page does not need to be retyped.

4 0
3 years ago
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