Last month Maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. Let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. If she hiked a total of 90 miles, which equation can be used to find the number of times Maria hiked each trail?

x + y = 90
5x – 10y = 90
90 – 10y = 5x
90 + 10y = 5x
Which shows the correct solution of the equation, when ?

Answer:

  50

Step-by-step explanation:

Let x represent the number of pizzas cut into small slices. Then the ratio of small to large slices is ...

  [tex]\dfrac{8x}{6(90-x)}=\dfrac{5}{3}\\\\8x=10(90-x)\quad\text{multiply by $6(90-x)$}\\\\18x=900\quad\text{add $10x$}\\\\x=50\quad\text{divide by 18}[/tex]

50 of the 90 pizzas were cut into small slices.

_____

Check

The 50 pizzas cut into 8 small slices each results in 400 small slices. The 40 pizzas cut into 6 large slices each results in 240 large slices. The ratio of small slices to large slices is 400 : 240 = 5 : 3.

Answer:

y= $5.50x+$10.00

Step-by-step explanation:

Admission is $10. Depending on how many rides you're going ride is how much you multiply $5.50 by.

$35 / $9.99 = 3.5 pairs of shorts

We have to round down because you cannot buy half a pair of shorts

The correct answer is 3 pairs of shorts.

Answer: he can buy 3 pairs

Step-by-step explanation: $9.99 x 3 = $29.97 | $9.99 x 4 = $39.96

Awnser-H=5/2

Explantion- Absolute value equalitiy entered

     7|-3h+8| = 21h-49  Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 7|-3h+8|

For the Negative case we'll use -7(-3h+8)  

For the Positive case we'll use 7(-3h+8)  

-7(-3h+8) = 21h-49  

    Multiply

     21h-56 = 21h-49  

    Rearrange and Add up

     0h = 7  

    False, No solution for the Negative Case 7(-3h+8) = 21h-49  

    Multiply

     -21h+56 = 21h-49  

    Rearrange and Add up

     -42h = -105  

    Divide both sides by 42

     -h = -(5/2)  

    Multiply both sides by (-1)

     h = (5/2)  

    Which is the solution for the Positive Case When an absolute value equation has just one solution, that solution has to be checked:

The equality is  7|-3h+8| = 21h-49  

The solution is  h = 5/2  

We check the solution by plugging it for h

7|-3(5/2)+8| = 21(5/2)-49  

The left hand side is equal to   (7/2)  

The right hand side is equal to   (7/2)  

The two sides are equal!

Solution checks!

h=5/2

Solution:

f(3) = 3(x + 5 + 2)

f(3) = 3(3 + 5 + 2)

f(3) = 3(10)

f(3) = 30

Substitute 30 for a:

f(30 + 2)

f(32)

Best of Luck!

Answer:

X = 9 and Y = 8

Step-by-step explanation:

We are to find the midpoint of the coordinates  (13,15) and  (5,1).

Using the midpoint formula;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1

X = 13+5/2

X = 18/2

X = 9

Similarly;

Y = 15+1/2

Y = 16/2

Y = 8

Hence The Tourist Information Center is located at point X = 9 and Y = 8

Answer:

81

Step-by-step explanation:

First, add all the numbers:

[tex]76+84+93+67+82+87+76=565[/tex]

Second, divide by the amount of numbers(count the amount of numbers that are there.):

[tex]\frac{565}{7} = 80.714285.....[/tex]

Third, round your answer to the nearest whole number:

[tex]80.714285...(estimated)= 81[/tex]

Answer:

The mean is 84.7777777777778

Step-by-step explanation:

summer the food is most susceptible to bacteria and microorganism growth because of heat

Microbiology is the scientific study of microorganisms, those being unicellular, multicellular, or acellular.

Susceptibility is a term used when microbe such as bacteria and fungi are unable to grow in the presence of one or more antimicrobial drugs.

Susceptibility testing is performed on bacteria or fungi causing an individual's infection after they have been recovered in a culture of the specimen.

In summer the food is most susceptible to bacteria and microorganism growth because of heat where as in the winter and fall the bacteria wont grow easily.

Hence,  summer the food is most susceptible to bacteria and microorganism growth because of heat

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Answer:

Kendall's shirt cost 18.20

Step-by-step explanation:

12.75+8.50=21.25

39.45-21.25=18.20

Answer:

6.34 × 10²

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 634

New Number: 6.34

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 6 . 3 4

Decimal Count: 1 2

There are 2 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 6.34

b = 2

Now the whole thing:

6.34 x 10²

Step 4

Check your work:

10² = 100 x 6.34 = 634

Answer:

6.34 x 10^2

Step-by-step explanation:

Move the decimal place to the left 2 positions

Answer:

Falls between 7 and 8

Step-by-step explanation:

Square root of 53 is 7.28

Answer:

7.280109

Step-by-step explanation:

The square root of 53 is 7.28

Answer: brooke had the faster time

Step-by-step explanation:

This is because if you convert 1 hour 45 into minutes it would be stated as 105 minutes and if you do 115 - 105 you are left with 10 which the bigger number is the fastest so it would be brooke the reason I subtracted was to see if they were not similar. Hope this helps :)

Brooke was the fastest because 115 minutes is very close to 2 hours. Therefore Lamont took longer.

Answer:

The leaf travels 35 meters per minute

Step-by-step explanation:

Given:

Distance = 140 meters

Time = 4 minutes

Speed = distance / time

Speed in meter per minute

Distance in meter

Time in minutes

Speed = distance / time

= 140 meters / 4 minutes

= 35 meters per minutes

Therefore,

The leaf travels 35 meters per minute

Answer:

It is rational number not irrational number

Answer:

1/7

Step-by-step explanation:

I got it right

Slope formula: y2-y1/x-x1

We can use the given points to solve.

3-(-3)/7-5

6/2

3

Best of Luck!

Answer:

[see below]

Step-by-step explanation:

Using two points on the line:

(0,3) (2,0)

Find the slope of the line:

[tex]m=\frac{rise}{run}=\frac{0-3}{2-0}=\frac{-3}{2}=-\frac{3}{2}[/tex]

The slope of the line is [tex]-\frac{3}{2}[/tex].

The y-intercept is (0,3).

The line equation should be: [tex]y=-\frac{3}{2}x+3[/tex].

Hope this helps.

Answer:

[tex]y=-\frac{3}{2}x+3[/tex]

Step-by-step explanation:

We can find an equation for the line by using the slope of the line and the y-intercept.

We can see that the y-intercept of of the line is 3.

To find the slope of the line, we can use the slope formula. The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are points on the line. To find the slope of the line, I will use the x-intercept, which is (2, 0), for (x₂, y₂) and y-intercept, which is (0, 3), for (x₁, y₁).

[tex]m=\frac{0-3}{2-0}=\frac{-3}{2}=-\frac{3}{2}[/tex]

So now we know the y-intercept and the slope, so lets plug it into the slope-intercept form equation. This gives us:

[tex]y=-\frac{3}{2}x+3[/tex]

So the equation of the line would be [tex]y=-\frac{3}{2}x+3[/tex].

I hope you find my answer helpful.

-4+6

or it could be written out as

n-4+6=x

Answer:

25 degrees

Step-by-step explanation:

56+99=155

180-155=25

25 degrees

Answer:

5 because once you evaluate your functions and simplify your equations you get all 5 solutions.

Step-by-step explanation:

2 Gallons = 16 Pints

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{1}{3}[/tex] x + 7

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 3(x - 9) + 6 ← distribute and simplify right side

y = 3x - 27 + 6 = 3x - 21 ( add 21 to both sides )

y + 21 = 3x ( divide all terms by 3 )

[tex]\frac{1}{3}[/tex] y + 7 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = [tex]\frac{1}{3}[/tex] x + 7

Answer: The mistake is improper use of distribution property.

Step-by-step explanation:

It is given that [tex]3\times (4+2)=12+2[/tex].

We need to find the mistake.

The given expression is

[tex]3\times (4+2)[/tex]

Using distribution property, we get

[tex]3\times (4)+3\times(2)[/tex]

[tex]12+6[/tex]

So, [tex]3\times (4+2)=12+6[/tex].

In the given calculation the 3 is not distributed properly because 3 is not multiplied with 2.

Therefore, the mistake is improper use of distribution property.

Answer:

Step-by-step explanation:

so the problem is 7 cookies in 1 minutes which is 7 x1 but if we want to know how many we have in 2 minutes we would have to multiply by 2 not 1. so we do 7x2 which is 14. 14 cookies in 2 minutes

Answer:

A≈8.04m² is the answer

Answer:

Finding the circumference?

Answer:

176°

Step-by-step explanation:

Since, KR bisects angle JKM, so, measure of angle JKM will be twice of the measure of angle RKM.

[tex]m\angle JKM = 2\times m\angle RKM \\ m\angle JKM = 2\times 88 \degree \\ \huge \red{ \boxed{ m\angle JKM = 176 \degree}}[/tex]

Answer:

B. a pair of alternate exterior angles with measures of 130° and 50°

Step-by-step explanation:

Alternate exterior angles formed when two parallel lines are cut across by the same transversal line, are said to be congruent.

Therefore, a pair of alternate exterior angles cannot have different angle measures of 130° and 50°. Rather, both alternate exterior angles should be of equal measure of degree.

All other scenarios are possible result except option B: "a pair of alternate exterior angles with measures of 130° and 50°".

Option B is correct. "A pair of alternate exterior angles with measures 130 and 50degrees".

If two lines are cut by a transversal, line geometry is formed.

The following angles are formed by the transversal;

Note that alternate exterior angles are obtuse angles (greater than 90 degrees). This statement falsifies the second option which says that "a pair of alternate exterior angles with measures 130 and 50degrees. 50 degrees" is an acute angle not obtuse.

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Answer:

20 books

Step-by-step explanation:

Fractions and all that.