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3 years ago

Dennis traveled at an average speed of 60 mph on his vacation trip. How far did he travel in the first 4.5 hours

Mathematics

1 answer:

k0ka [10]3 years ago

6 0

Answer: 280 Miles.

Step-by-step explanation: 60 x 4 = 240 + 40 = 280 Miles.

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Put the steps in correct order for the equation Solve 3(2x−7)+5=−19

Anna11 [10]

Answer:

6x-21+5 = -19 Distribute

6x-16 = -19 Combine like terms

6x = -3 Add

x = -1/2 Division

4 0

3 years ago

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The value y of varies directly with x. When y = 19.375, x = 7.75.

Bingel [31]

Answer: (X,Y) = (0.4, 7.75)

Step-by-step explanation:

Y=7.75,

19.375X=7.75

Then solve for X

Divide 19.375 on both sides to get X=0.4

Y=7.75

X=0.4

6 0

3 years ago

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The graph of f(x) = x2 + x - 6 is shown below.

guapka [62]

Answer:

the solutions of a function are the points where for some value of x the function becomes zero

thus the solns for this graph would be

that's option 1.

3 0

2 years ago

The square of the sum of two consecutive positive even integers is 4048 more than the sum of the squares of these two numbers. F

Burka [1]

Answer:

The numbers are 44 and 46

Step-by-step explanation:

Let

x, x+2 ----> the two consecutive positive even integers

we know that

$(x+x+2)^{2} =4,048+x^{2} +(x+2)^{2} \\ \\(2x+2)^{2} =4,048+x^{2} +x^{2}+4x+4\\ \\4x^{2}+8x+4=2x^{2}+4x+4,052\\ \\2x^{2} +4x-4,048=0$

Solve the quadratic equation using a graphing calculator

The solution is x=44

see the attached figure

$x+2=44+2=46$

therefore

The numbers are 44 and 46

4 0

3 years ago

If the angles of a triangle are (2y - 5)degrees, (y + 20)degrees, and (3y-5) degrees what are the values of the angles

NNADVOKAT [17]

Answer:

<h3> $\boxed{ \boxed{ \bold{ \sf{51.68 \: , \: 48.34 \:, \: 80.02}}}}$ </h3>

Step-by-step explanation:

Let's solve:

As we know that the sum of angles of traingle adds to 180°

$\sf{2y - 5 + y + 20 + 3y - 5 = 180}$

Collect like terms

⇒ $\sf{6y - 5 + 20 - 5 = 180}$

⇒ $\sf{6y + 15 - 5 = 180}$

⇒ $\sf{6y + 10 = 180}$

Move constant to right hand side and change it's sign

⇒ $\sf{6y = 180 - 10}$

Calculate the difference

⇒ $\sf{6y = 170}$

Divide both sides of the equation by 6

⇒ $\sf{ \frac{6y}{6} = \frac{170}{6} }$

Calculate

⇒ $\sf{y = 28.34}$

Now, let's replace the value:

⇒ $\sf{2y - 5 = 2 \times 28.34 - 5 = 51.68}$

⇒ $\sf{y + 20 = 28.34 + 20 = 48.34}$

⇒ $\sf{3y - 5 = 3 \times 28.34 - 5 = 80.02}$

Hope I helped!

Best regards!!

8 0

3 years ago

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