A truck driver makes a trip that covers 2,380 km in 28 hours. What is the driver’s average speed?

Answer:

Step-by-step explanation:

The equation of a linear function is in form:

[tex]y=mx+b[/tex]

We have:

[tex]\bold{A.}\\\\y=8(x+8)+4(x+8)\qquad\text{use the distributive property}\\\\y=8x+64+4x+32\qquad\text{combine like terms}\\\\y=12x+86\to m=12,\ b=86\\\\\bold{linear\ function}[/tex]

[tex]\bold{B.}\\\\y=\dfrac{\sqrt8}{8}x-4\to m=\dfrac{\sqrt8}{8},\ b=-4\\\\\bold{linear\ function}[/tex]

[tex]\bold{C.}\\\\y=\dfrac{1}{8}x+8\to m=\dfrac{1}{8},\ b=8\\\\\bold{linear\ function}[/tex]

[tex]\bold{D.}\\\\y=8x^2+8x+4\\\\\bold{not\ linear\ function}\\\\\text{because is}\ x^2\\\\\text{It's a quadratic function}[/tex]

Answer:

y=5/3x

Step-by-step explanation:

The equation can be used to represent y = (5/3)x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.

Since the water continues to flow at the same rate.

Using represent the number of gallons, y, that flow through the faucet in x

In 3 minutes, 5 gallons of water come out of a faucet.

So the equation can be used to represent y = (5/3)x

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Answer:

The boats will meet in 3.33 hours.

Step-by-step explanation:

The position of each boat can be modeled by a first order equation.

I am going to say that the first boat is at the position 0, and moving in the positive direction with a speed of 3 miles per hour. So

[tex]A(t) = 0 + 3t[/tex]

They are moving in oppositie directions, and initially are 30 miles apart. This means that the second boat starts at the position 30, and moves in the negative direction at the rate of 6 miles an hour. So

[tex]B(t) = 30 - 6t[/tex]

How soon will the boats meet?

This is t when:

[tex]A(t) = B(t)[/tex]

[tex]3t = 30 - 6t[/tex]

[tex]9t = 30[/tex]

[tex]t = \frac{30}{9}[/tex]

[tex]t = 3.33[/tex]

The boats will meet in 3.33 hours.

Answer:

A

Step-by-step explanation:

The formula for this type of interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:

[tex]A=1800(1+\frac{0.025}{2})^{2\cdot 12}=[/tex]

[tex]1800(1.0125)^{24}\approx 2425.23[/tex]

Now, she invests this into a new account, and you can set up the following equation:

[tex]A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=[/tex]

[tex]2425.23(1.0033333)^{84}\approx 3207.40[/tex], or option A.

Hope this helps!

Answer:

see below

Step-by-step explanation:

If the two angles form a straight angle, their sum is 180

2x+50  + 6x+2 = 180

Combine like terms

8x +52 = 180

Subtract 52 from each side

8x+52-52 = 180-52

8x =128

divide each side by 8

8x/8 = 128/8

x =16

2x+50 = 2(16)+50 = 32+50 = 82

6x+2 = 6(16)+2 =96+2 = 98

Answer:

5 cups

Step-by-step explanation:

To get 1 cup of sugar, u must add 1/8 by 8. now you have one cup of sugar. But to find out how much flour u need, u also need to multiply 1 3/4 by 8, which gives u 5 cups

Answer:

14 cups of flour are needed for 1 cup of sugar.

Step-by-step explanation:

Use a ratio.

cups of flour : cups of sugar

               1 3/4 : 1/8

                     ? : 1

We know that you must multiply by 8 to get from 1/8 to 1. Now we have to do the same to the other side. So, multiply 1 3/4 by 8.

1 3/4 * 8 = 14

Therefore, 14 cups of flour are needed for 1 cup of sugar.

Tell me if this was helpful:)

Answer:

[tex] 320 = 10 (2)^{t/60}[/tex]

If we divide both sides by 10 we got:

[tex] 32 = 2^{t/60}[/tex]

We can apply natural log on both sides and we got:

[tex] ln (32) = \frac{t}{60} ln(2) [/tex]

And solving the value of t we got:

[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]

So then we can conclude that after t = 300 days we will have approximately 320 rabbits  

Step-by-step explanation:

For this case we have the following function:

[tex] P(t) = 10 (2)^{t/60}[/tex]

Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:

[tex] 320 = 10 (2)^{t/60}[/tex]

If we divide both sides by 10 we got:

[tex] 32 = 2^{t/60}[/tex]

We can apply natural log on both sides and we got:

[tex] ln (32) = \frac{t}{60} ln(2) [/tex]

And solving the value of t we got:

[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]

So then we can conclude that after t = 300 days we will have approximately 320 rabbits  

Answer:

0.8

Step-by-step explanation:

Answer:

2p + 2d = 39 ____________(1)

8p + 10d = 174.50 _________(2)

Price of one drink is $9.25

Step-by-step explanation:

Let the price of a bag of popcorn be p.

Let the price of a drink be d.

Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. This implies that:

2p + 2d = 39 ____________(1)

Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. This implies that:

8p + 10d = 174.50 _________(2)

We now have two system of equations which we can use to find the price of a bag of popcorn and drink:

2p + 2d = 39 ____________(1)

8p + 10d = 174.50 _________(2)

Multiply (1) by 4 subtract from (2):

 8p + 10d = 174.50 _______(2)

- 8p + 8d = 156    __________(1)

        2d = 18.50

=>       d = $9.25

The price of one drink is $9.25

Answer:

9th grade student=33.3%, unit 7=45%

Step-by-step explanation:

Answer:

∠GHJ and ∠IHJ

Answer:

[-10, 10]

This is an absolute value problem and numbers within the brackets are always seen as positive. [-10] = 10   and [10] = 10

Step-by-step explanation:

Answer:

4 seconds

Step-by-step explanation:

using the vertex formula of a quadratic,

[tex]a(x-h)^{2} + k[/tex], where (h,k) is the vertex

[tex]h = -8(t-0.5)^{2}+2[/tex]    h is height and t is time in seconds

the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)  

Height of 1/2

time of 2 seconds

it will take 2 additional seconds to reach the water again.

this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.

Answer: Positive correlation

Step-by-step explanation:

As you go up and along the graph the values go up.

Both have to be increasing basically.

Answer:

y = 1.3

Step-by-step explanation:

18y - 17 = 7

18y = 7 + 17

18y = 24

y = 24/18

y = 1.3

hope it helps!

Answer:

y=4/3

Step-by-step explanation:

To solve for y, we need to isolate it.

18y-17=7

Let's start by adding 17 to both sides.

18y=24

Next, we can divide both sides by 18.

y=24/18

Simplify.

y=4/3

20/53 chance or 0.38 probability.

Answer:

The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons

Step-by-step explanation:

Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:

x + y = 45

The concentration of acid of the final solution is:

0.2*x + 0.1*y = 45*0.16

0.2*x + 0.1*y = 7.2

Therefore we have a system of equation:

x + y = 45

0.2*x + 0.1*y = 7.2

We need to multiply the first equation by -0.1:

-0.1*x -0.1*y = -4.5

0.2*x + 0.1*y = 7.2

We now sum both equation:

0.1*x = 2.7

x = 2.7/0.1 = 27 gallons

y = 45 - 27  = 18 gallons

Answer:

the answer would be 20

Answer:

x=3/2 or 1.5

Step-by-step explanation:

To solve for x, we have to get x by itself. To do this, perform the opposite of what is being done to the equation.

3(4x+5)=33

First, divide both sides by 3, since 3 is being multiplied by 4x+5

3(4x+5)/3=33/3

4x+5=11

Next, subtract 5 from both sides, since it is being added to 4x

4x+5-5=11-5

4x=6

Divide both sides by 4, since 4 is being multiplied by x

4x/4=6/4

x=6/4

x=3/2 or 1.5

Answer: The point estimate for this population proportion is 0.2

Step-by-step explanation:

The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 40

p = 40/200 = 0.2

Answer:

C or option three, f(x) = 1.5x + 0.5

Step-by-step explanation:

HAVE A GREAT DAY AND STAY SAFE!

The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.

The general equation of a straight line is y = mx + c

A slope of a line is the change in y coordinate with respect to the change in x coordinate

Here,

Consider two points in the lines

(3,5) and (5,8)

Slope of the line = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

= [tex]\frac{8-5}{5-3}[/tex]

=1.5

From the graph y intercept is 0.5

Hence, The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.

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Answer:

The answer is 3cm

Step-by-step explanation:

The length of a diagonal of a cube with a side length of 1 cm is,

⇒ √3 cm

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

A side length of cube is,

⇒ 1 cm

We know that;

The length of a diagonal of a cube with a side length of a cm is,

⇒ d = √3 × a

Here, a = 1

Hence, The length of a diagonal of a cube with a side length of 1 cm is,

⇒ d = √3 × 1

⇒ d = √3 cm

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Answer:

$0.60

Step-by-step explanation:

Step-by-step explanation:

Bro this problem cannot be solved. No solutions. I need at least one more angle or the type of triangle it is. Like iscoceles or scalene, or equilateral. Pls give me that info and then I can solve it for u

Answer:

Step-by-step explanation:

hello :

f(x)=-2x and g(x)=(1/2)^x

f(-2)=-2(-2) =4

g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4

Answer:

B and C

Step-by-step explanation:

25% of 64 is 16. So find the two answers that are equivalent to 16.

A: 25*64 = 1600 [tex]\neq[/tex] 16

B: [tex]\frac{25}{100}[/tex]*64 = 16

C: 0.25 * 64 = 16

D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16

E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16

Answer:

its b and c. had the same problem.

Answer:

Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.

Step-by-step explanation:

Step-by-step explanation:

An=A1. R raised to the power n-1

Answer:

Slope = 0

Step-by-step explanation:

Let's use the equation [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this problem.

We have two points: (2,0) and (-2, 0)

Let's plug them both into the equation shown above.

[tex]\frac{0 - 0}{-2 - 2}[/tex]

Solve.

0 - 0 = 0

-2 - 2 = -4

[tex]\frac{0}{-4}[/tex] = [tex]-\frac{0}{4}[/tex] = 0

A zero in the numerator means this equation has a slope of 0.

Any line with a slope of 0 is a horizontal line.

Slope (rate of change) = 0

Answer:

fwefwfwfewfwefwefwfew

Step-by-step fweexplanation:

erwrwerw

Answer:

80

Step-by-step explanation:

BECAUSE ON THE BOX PLOT ON HOW IT IS LOOK AT THAT LAST LINE AND LOOK HOW FAR IT GOES THATS HOW MUCH IT WOULD BE