Ben drove his car 467 kilometer in 5 hours while he was on vacation in Italy. He was trying to estimate how far he could drive in 7 hours the next day, so he set up the following proportion: . Is his proportion correct? Or, incorrect? Explain your choice and support with appropriate mathematical terminology.

Your answer is True!

Some other examples of an element in the set of natural numbers are 2, 3, 4, 5, etc.

Hope this helps you!

~sofia

Answer:

x + 3

Step-by-step explanation:

negative times negative = positive.

Step-by-step explanation:

[tex](+)(+)=(-)(-)=(+)\\(+)(-)=(-)(+)=(-)\\\\-(-x-3)=-1(-x-3)\qquad\text{use the distributive property}\\\\=(-1)(-x)+(-1)(-3)=x+3[/tex]

Answer:

Therefore the probability of Maria scoring on her next shot is [tex]\frac{1}{4}[/tex].

Step-by-step explanation:

i) Maria scored two goals and missed on her other six shots.

ii) Maria took a total of eight shots on the goal.

iii) On an average Maria scored twice in every eight shots or once in every four shots on the goal. So we can say that the probability of Maria scoring a goal on every shot on goal is one in four or [tex]\frac{1}{4}[/tex].

iv) Therefore the probability of Maria scoring on her next shot is [tex]\frac{1}{4}[/tex].

Answer:

Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.

Step-by-step explanation:

To plot the vertices of the figure, Clara needs to take the first coordinate of each point and mark it on the x-axis and the second coordinate should be marked on the y-axis. Then she has to draw vertical and horizontal lines through the x-coordinate and y-coordinate. These two lines intersect at the point which has those coordinates. Following these steps, Clara drew the figure correctly.

Connecting all consecutive vertices, she got a figure with four sides - this is exactly the quadrilateral.

Hence, Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.

Answer:

A

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

9/3+4(6-7)

3+4(-1)

3+(-4)

3-4

-1

Answer:

-1

Step-by-step explanation:

Just did the test

40 kilograms alloy of 20 % copper and 60 kilograms of alloy of 70 % copper is combined to get 100 kg of 50 % copper alloy

Solution:

Th final alloy is 100 kg

Let "x" be the alloy of 20 % copper

Then, (100 - x) is the alloy of 70 % copper

Therefore,we can say,

"x" kilograms alloy of 20 % copper and (100 - x) kilograms of alloy of 70 % copper is combined to get 100 kg of 50 % copper alloy

Therefore, we frame a equation as:

[tex]x \times 20 \% + (100-x) \times 70 \% = 100 \times 50 \%\\\\x \times \frac{20}{100} + (100-x) \times \frac{70}{100} = 100 \times \frac{50}{100}\\\\0.2x + (100-x) \times 0.7 = 0.5 \times 100\\\\0.2x + 70 - 0.7x = 50\\\\-0.5x = -20\\\\x = 40[/tex]

Thus 40 kilograms of 20 % copper

Then, 100 - x = 100 - 40 = 60

60 kilograms of 70 % copper is used

Answer:

river c is 2850 and river d is2650

Step-by-step explanation:

Answer:

Step-by-step explanation:

I would look at it by taking the 100 off of the 5500. Leaving you with 5400 you would then Divide that by two since there is two rivers being described. So River d is 2700 miles long and then river c is 2800. Hope it helps :)

Answer:

48

Step-by-step explanation:

Answer:48

Step-by-step explanation:

5) 12<h

6) 4(x+1/2)

7)6-(z÷3)

8)2(k+(s-2))

9) 8>s

10) 5(m÷2)

awnser: C

Step-by-step explanation:

The numbers are -3 and 2

Step-by-step explanation:

Let x be the first number and y be the second number

then according to given statements the linear equations will be:

"Four times a number minus twice another number is -16"

[tex]4x-2y = -16\ \ \ Eqn1[/tex]

"The sum of the two numbers is -1"

[tex]x+y = -1\ \ \ Eqn2[/tex]

From equation 2:

[tex]y = -x-1[/tex]

Putting y = -x-1 in equation 1

[tex]4x-2(-x-1) = -16\\4x+2x+2 = -16\\6x +2 = -16[/tex]

Subtracting 2 from both sides

[tex]6x+2-2 = -16-2\\6x = -18[/tex]

Dividing both sides by 6

[tex]\frac{6x}{6} = \frac{-18}{6}\\x = -3[/tex]

Putting x = -3 in equation 2:

[tex]x+y = -1\\-3+y = -1\\y = -1+3\\y = 2[/tex]

Hence,

The numbers are -3 and 2

Keywords: Linear equations, variables

Learn more about linear equations at:

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Find the total miles of all 3 trucks:

790 + 830 + 948 = 2568

Divide the total by the 12 miles per gallon to find total

Gallons used:

2568 / 12 = 214 total gallons

Multiply total gallons by price:

214 x 1.60 = 342.40

Total amount = $342.40

Answer:

  x = -1

Step-by-step explanation:

Both tables show a function value of 9 for x = -1.

  x = -1 is the solution to f(x) = g(x), since f(-1) = 9 = g(-1).

Answer:

12

Step-by-step explanation:

The common ratio is 1.5. If the input is 8, the output has to be 12.

Answer:

12

Step-by-step explanation:

first is the product of one

second is is of 2

third is of4

and at last 9

Final answer:

To calculate the energy used by a laptop in Joules, multiply its power usage in watts (78.0 W) by the time it was running in seconds (10.0 minutes converted to 600 seconds). The laptop uses 46,800 Joules of energy.

Explanation:

The question asks for the amount of energy used by a laptop computer that has a power rating of 78.0 W when it runs for 10.0 minutes. To find the energy in Joules, we use the equation for energy, which is E = P * t, where E is energy in Joules, P is power in watts, and t is time in seconds.

First, we convert the time from minutes to seconds: 10.0 minutes * 60 seconds/minute = 600 seconds. Then we plug the values into the equation:

E = 78.0 W * 600s = 46,800 J

Therefore, the laptop uses 46,800 Joules of energy.

Answer:

A: $0.25

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

75/100×300=225

Answer:

100 adults and 200 children

Step-by-step explanation:

$10 × 100 = $1000

$5 × 200= $1000

$1000 + $ 1000 = $ 2000

Answer: a combination of 75 adult tickets and 250 student tickets would make $2000

Step-by-step explanation:

A theater wants 2000$ and children’s tickets cost 5$ and adult tickets cost 10$. To find a combination of children and adult tickets that will make 2000$, we would assume a value for either the number of student tickets or adult tickets and assume a variable for the other.

Assuming 250 student tickets and x adult tickets were sold. Therefore,

250 × 5 + 10x = 2000

1250 + 10x = 2000

10x = 2000 - 1250 = 750

x = 750/10 = 75

Answer:

The sum of the two equations is 8x + 5 and the value of x is -5/8

Step-by-step explanation:

Let's add these two equations and solve for x:

2x + 6 + 6x - 1 = 0

8x + 5 = 0

8x = -5

x = -5/8

The sum of the two equations is 8x + 5 and x =  -5/8

Answer:

Sum = 8x + 5

Step-by-step explanation:

It is required to add the following equations

2x+6    &   6x-1

So, the sum of the equations

= (2x + 6) + ( 6x - 1 ) ⇒ Combine like terms.

= ( 2x + 6x ) + ( 6 - 1 )

= 8x + 5

So, the result of adding the equations 2x+6 and 6x-1 is 8x + 5

Answer:

How many boys are there in total? We can't answer correctly until you give us all the information.

Step-by-step explanation:

The percentage of students who like both oranges and apples (x%) is equal to or greater than 34%.

Let's start by representing the students who like oranges as set A and the students who like apples as set B. We are interested in finding the percentage of students who like both oranges and apples, which corresponds to the intersection of sets A and B.

Based on the given information:

Percentage of students who like oranges (A): 70%

Percentage of students who like apples (B): 64%

Percentage of students who like both oranges and apples (x%): ?

Now, let's use set theory notation to represent the information:

A = students who like oranges

B = students who like apples

A ∩ B = students who like both oranges and apples

The total percentage of students who like oranges or apples can be calculated using the principle of inclusion-exclusion:

Percentage(A ∪ B) = Percentage(A) + Percentage(B) - Percentage(A ∩ B)

We know that Percentage(A) = 70% and Percentage(B) = 64%. Let's denote Percentage(A ∪ B) as y% for simplicity.

y% = 70% + 64% - x%

y% = 134% - x%

Since the total percentage cannot exceed 100% (as it represents the whole student population), we can conclude that:

y% ≤ 100%

134% - x% ≤ 100%

x% ≥ 34%

So, the Main Answer is x% ≥ 34%

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Complete Question:

In a school 70% students like oranges and 64% like apples. If x% like both oranges and apples, then

Hope this will help u..............

Answer:

[tex]13\dfrac{1}{4}\ inches[/tex]

Step-by-step explanation:

To find the total length, you should add all lengths and calculate the sum. There are

3 buttons of length [tex]\frac{1}{4}[/tex] inch

2 buttons of length [tex]\frac{3}{8}[/tex] inch

4 buttons of length [tex]\frac{1}{2}[/tex] inch

2 buttons of length [tex]\frac{5}{8}[/tex] inch

3 buttons of length [tex]\frac{3}{4}[/tex] inch

2 buttons of length [tex]\frac{7}{8}[/tex] inch

2 buttons of length 1 inch

2 buttons of length [tex]1\frac{1}{4}[/tex] inches

Total length:

[tex]3\cdot \dfrac{1}{4}+2\cdot \dfrac{3}{8}+4\cdot \dfrac{1}{2}+2\cdot \dfrac{5}{8}+3\cdot \dfrac{3}{4}+2\cdot \dfrac{7}{8}+2\cdot 1+2\cdot 1\dfrac{1}{4}=\\ \\=\dfrac{3}{4}+\dfrac{3}{4}+2+\dfrac{5}{4}+\dfrac{9}{4}+\dfrac{7}{4}+2+2\cdot \dfrac{5}{4}=\\ \\=4+\dfrac{27}{4}+\dfrac{10}{4}=\\ \\=4+\dfrac{37}{4}=\\ \\=4+9\dfrac{1}{4}=\\ \\=13\dfrac{1}{4}[/tex]

Answer: 18 ft

Step-by-step explanation:

The length of one side is 18 feet.

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Given:

An equilateral triangle has a perimeter of 54 feet.

Let x be the side of an equilateral triangle.

Then,

3x = 54

x = 54/3

x = 18

Therefore, 18 feet are the length of one side.

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Answer:

80

Step-by-step explanation:

you multiply 16 x 5 = 80

The solution is 4368 ways

The number of ways 16 colored markers in bucket can be arranged by Kelly if she chose 5 of them is 4368 ways

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the equation be represented as A

Now , the value of A is

The number of colored markers n = 16 markers

The number of markers Kelly chooses x = 5 markers

The number of ways Kelly can choose 5 markers from 16 markers is calculated by Combinations

And , the combination is given by

¹⁶C₅ = 16! / ( 16 - 5 )! ( 5! )

On simplifying the equation , we get

¹⁶C₅ = 16! / 11! x 5!

¹⁶C₅ = ( 16 x 15 x 14 x 13 x 12 ) / ( 5 x 4 x 3 x 2 x 1 )

The value of ¹⁶C₅ = 4368 ways

Therefore , the value of A is 4368 ways

Hence , The number of ways 16 colored markers in bucket can be arranged by Kelly if she chose 5 of them is 4368 ways

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Answer:

16 ft and 8 ft

Step-by-step explanation:

x + 1/2 x=24

2/2 x + 1/2 x= 24

3/2 x=24

3 x= 48

x=16

1/2x=16/2=8