A man walked a certain distance at a constant rate. If he had gone 1/2 mile per hour faster, he would have walked the distance in four-fifths the time; if he had gone 1/2 mile per hour slower, he would have been 2 1/2 hours longer on the road. How far did he walk?

Answer:

mnp / 1000

Step-by-step explanation:

m%       of  p%     of  n

m/100    ·   p/100   ·   n

mnp / 1000

mpn/10000

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

The speed of the boat if it were in still water is 11.25 miles per hour and the speed of the current is 3.75 miles per hour.

According to the question,

We have the following information:

A boat take 4 hour to travel upstream 30 miles. On the return trip downstream it took 2 hours.

Now, let's take the speed of the boat in still water to be s miles per hour and the speed of the current to be c miles per hour.

Upstream speed = speed in still water - speed of current

Downstream speed = speed in still water + speed of current

Upstream:

s-c = 30/4

s-c = 7.5

s = 7.5+c ...(1)

Downstream:

s+c = 30/2

s+c = 15

Putting the value of s from equation 1:

7.5+c+c = 15

7.5+2c = 15

2c = 15-7.5

2c = 7.5

c = 7.5/2

c = 3.75 miles per hour

Putting this value in equation 1:

s = 7.5+c

s = 7.5+3.75

s = 11.25 miles per hour

Hence, the speed of the boat if it were in still water is 11.25 miles per hour and the speed of the current is 3.75 miles per hour.

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On solving the question, we got that - one hat costs $2, while a pair of mittens costs $5.

A mathematical equation is a statement that contains two algebraic expressions on each side of the equal sign (=). Both of the expressions—the one on the left and the one on the right—are shown as being equal. LHS = RHS is shown.

The shop has hats and mittens on sale!

For $30, one woman was able to get four pairs of mittens and five hats.

For $19, another woman bought two hats and three pairs of mittens.

x is the cost of one hat.

One pair of mittens costs y dollars.

We must locate x and y.

One woman spent $30 to purchase 4 pairs of mittens and 5 hats.

One hat costs x dollars.

The cost of a single pair of mittens is y.

- Divide four pairs of mittens by y, multiply five hats by x, and equal

30 times their total

[tex]5x + 4y = 30 ........................ (1)[/tex]

For $19, another woman bought two hats and three pairs of mittens.

- Divide three pairs of mittens by y, multiply two hats by x, and equate

multiplied by 19

[tex]2x + 3y = 19 ............................ (2)[/tex]

Now,

[tex]-10x - 8y = -60 ................(3)\\10x + 15y = 95 .......... (4)\\Add equations (3) and (4)\\ 7y = 35\\Divide both sides by 7\\ y = 5\\Substitute the value of y in equation (1) or (2) to find x\\ 2x + 3(5) = 19\\ 2x + 15 = 19\\ Subtract 15 from both sides\\ 2x = 4\\ Divide both sides by 2\\x=2\\[/tex]

One hat costs $2, while a pair of mittens costs $5.

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The correct question -

Hats and mittens are on sale at the store! One woman was able to buy 5 hats and 4 pairs of mittens for $30. Another woman purchased 3 pairs of mittens and 2 hats for $19. Find the price of one hat (x) and one pair of mittens (y).​

Answer: 77.5% of people prefer beaches

Step-by-step explanation:

It's pretty easy to find the percent of people that prefer beaches.

First, find the total amount of people in the survey and you get 80.

Then, also find the amount of people that prefer beaches. 62.

Then you follow this equation:

(Total # of people who prefer beaches) divided by (Total # of people in survey)

= 62/80 = 0.775

After that, you multiply 0.775 x 100 and you get your percentage :D

0.775 x 100 = 77.5% or 77%

Hope this help ^_^

Answer:

77.5%

Step-by-step explanation:

Total number of people = 80

Number of people who prefer beaches = 62

% of people who like beaches = (62/80)x100% = 77.5%

Answer:

d) 3 km, and the Mariana Trench is deeper

Step-by-step explanation:

The Mariana Trench is, so to speak, -11 km while the Peru-Chile Trench is -8 km (because they are both below sea level).

For determining the difference between the two, you have to understand that they're both negative, and there is a 3 km difference between -11 and -8. Subtracting a negative makes a positive.

(-8) - (-11) = 3

Since the Mariana Trench is more kilometers below sea level, it's deeper.

Answer:

The answer is n < 14.

Step-by-step explanation:

First, we need to distribute 6, then 3 through the parentheses.

6n - 30 < 3(n + 4)

6n - 30 < 3n + 12

We now need to move the variable to the left-hand side and change its sign.

6n - 30 - 3n < 12

Next, we have to move the constant to the right-hand side and change its sign.

6n - 3n < 12 + 30

Now we need to collect like terms.

3n < 12 + 30

Then, we need to add the numbers.

3n < 42

Last but not least, we need to divide both sides of the inequality by 3. This gets us to:

n < 14

We know that it would take Mabel 20 minutes to edit a 15-minute-long video by solving simple mathematical operations.

An operation, in maths, is a mathematical function that converts zero or more input values into a precisely defined output value.

The arity of the operation is decided by the number of arithmetic operations.

Most people seem to agree that addition, subtraction, multiplication, and division are the four basic mathematical processes.

So, what time it will take Mabel to dit a 15-minute long video:

Time to edit 15 min videos = New video * Total time taken/Length of added video

Time to edit 15 min videos = 15 * 4/3

Time to edit 15 min videos = 5 * 4

Time to edit 15 min videos = 20

Therefore, we know that it would take Mabel 20 minutes to edit a 15-minute-long video by solving simple mathematical operations.

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The equation of a line which is parallel to line y = -5x + 3 and passes through points (0, 4) is 5x + y -4 = 0.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

The given line of equation is,

y = -5x + 3

The slope of the given line m = -5.

The slope of the required line which is parallel to given line will be equal to -5.

To find the line of equation that passes through the point (0, 4),

Use formula y - y₁ = m(x - x₁)

The required equation of line having slope -5 and passes through points (0, 4) is,

y - 4 = -5(x - 0)

y - 4 = -5x

5x + y -4 = 0

The required equation of line is 5x + y -4 = 0.

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The hand will cover a distance of 1055.04  inches in 7 days.

To establish the distance covered by the  hand's point would go in a week, we would first need to determine the radius of the clock's circle, for which the hand serves as a proxy .

To accomplish this, we would utilize the equation 2(pi*radius),

where pi equals 3.14.

The solution to p=2(3.14*1 ) is 6.28  inches.

This indicates that the hand's point moves 6.28inch every 1 hours.

To determine how far the hand moves in a 168 hour, we would multiply 6.28 inch by 168.

As a result, we arrive at the final calculation of 168 inches covered in 7 days as 1055.04 inches.

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The ratio of red to blue beads.

Own bracelets: 2 : 3

New bracelets: 2 : 3

Yes, the ratio of red to blue beads of her own bracelet and the new bracelet is the same.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Julie made her own bracelet with 30 red beads and 45 blue beads.

The ratio of red to blue beads.

= 30 : 45

= 6 : 9

= 2 : 3

Now,

The new bracelets.

The ratio of red to blue beads.

= 20 : 30

= 4 : 6

= 2 : 3

We see that,

The ratio of red to blue beads of her own bracelet and the new bracelet is the same.

Thus,

The ratio of red to blue beads.

Own bracelets: 2 : 3

New bracelets: 2 : 3

Yes, the ratio of red to blue beads of her own bracelet and the new bracelet is the same.

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Answer:

1/√5-√2 = −√2+√5 (-0.967)

√5-√2 = −√2+√5 (0.821854)

Subtract the answers as the decimal and/or the equation:

-0.967-0.821854 = -1.518854

As equation:

−√2+1/5√5 - √2+√5 = −2√2 + −4/5√5 (Decimal: -4.617282)

Answer:

Step-by-step explanation:

To find the amount of money in the account after 7 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the final amount in the account, P is the initial deposit (5300), r is the annual interest rate (7.5%), n is the number of times the interest is compounded per year (1, since the interest is compounded annually), and t is the number of years the money is invested (7).

Plugging these values into the formula, we get:

A = 5300(1 + 0.075/1)^(1*7)

= 5300(1.075)^7

= $7953.33

So, the amount of money in the account after 7 years would be $7953.33.

The statements that are true about translations will be 1, 3, 5, and 6.

A point, line, or numerical figure can be changed over in one of four ways, and each significantly affects the item's construction or potential position. Picture, after interpretation, alludes to the article's definitive association and position. Not long before the alludes to the material's underlying condition.

The translation does not change the shape and size of the geometry. But changes the location. And the orientation will remain the same.

The statements that are true about translations will be 1, 3, 5, and 6.

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Answer: x equals to 5 over 2

Step-by-step explanation:

Answer: the answer is x=2.5

Step-by-step explanation:

4x+2=2x+7

4x+2-2=2x+7-2

4x=2x+5

4x-2x=2x-2x+5

2x=5

2x/2=5/2

x=2.5

Answer: 2 9/10 or 2.9 metres

Step-by-step explanation: Form an equation with the information given

1 2/5 + 2 7/10 +x =7

Let x represent the height of Keith

Change mixed fractions into improper fractions

1 2/5=7/5 as an improper fraction  we say 1*5+2=7 and put it over the denominator 5

2 7/10 =27/10 as an improper fraction we say  2*10+7 =27 and put it over the denominator 10

we now have the following:

7/5+27/10+x=7

We simplify these fractions by adding them up

7/5

7/5*2/2+27/10=14/10+27/10=41/10

41/10+x=7

To solve for x

take 41/10 from both sides

7-41/10

Making the denominators the same we get the following:

x=70/10-41/10=29/10=2 9/10

Answer:5x-y=4

Step-by-step explanation:

The standard form of a linear equation is

Ax+By=C

Move all terms containing variables to the left side of the equation.

5x-y=4

Answer: 5x-y=4

Step-by-step explanation:

The standard form equation is Ax+By=C

So y=5x-4

So first we have to add 4 both side

y+4=5x

then we subtract y from both side

4= 5x-y

If you can, please give me a Brainliest, thank you!

Answer:

5

Step-by-step explanation:

slopes of the parallel lines are always same this line has slope five

because equation in y intercept form is y=mx+b

where m is the slope.

so the slope of the new line will be five

The measure of each interior angle of a regular pentagon is 108° and each exterior angle is 72°.

To calculate the measure of each interior and exterior of a regular polygon, we have the following formulae:

The measure of each exterior angle of a regular polygon with n sides is given by "360/n".

And the measure of each interior angle of a regular polygon with n sides is given by "180 - 360/n".

The number of sides of a regular pentagon is n = 5.

So, the measure of each exterior angle of the regular pentagon is

= 360/n

⇒ 360/5 = 72°

Thus, the measure of each interior angle of the regular pentagon is

= 180 - 360/n

⇒ 180 - 72 = 108°

Therefore, the measure of each interior and exterior angle of a regular pentagon are 108° and 72°.

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Answer: The answer is 48          

Step-by-step explanation:

(60*100)/125=48

The 100 percent is 48 and the 125 percent of 48 is 60 .

Answer:

48

Step-by-step explanation:

"What is 60 is 125% of"

Put this sentence into an expression.  The wording is awkward in the question.  " . . is 60 is 125% of" is not a complete sentence.   I believe it is asking what number results in 60 when we take 125% of it.  I'll rephrase it as "125% of what number is 60."  Please check my logic on this interpretation.

Write this as an expression, using N for the unknown "number:"

 125% (N) = 60

(1.25N) = 60

N = 60/1.25

N = 48

125% of 48 is 60  

Answer27.1

Step-by-step explanation: c=a^2+b^2 =4.1^2+23^2=27.1

Answer:

4.45

Step-by-step explanation:

Check the picture below.

The total value of the account after 4 years is; $8800.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

We have given Principal = P = $8,000

Rate = R = 2.1%

Amount = A

Time = 4 years

Simple Interest = (P x R x T) / 100

= (8000 x  2.1 x 4 ) / 100

= 800

Amount = Simple interest + Principal

A = 800 + 8000

A = 8800

Thus, The total value of the account after 4 years is; $8800.

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Answer: 23

Step-by-step explanation: ML is in between JL. Line ML is 15 and KL is 8.

Since ML is in between we already know there is 15, and the space left is about the same size as line KL. so 15+8=23.

Answer: Hi so its pretty straight forwad use the cosine formula as you have 2 sides and angle opposite of the x. Answer: 21.35

Step-by-step explanation:

This is a transversal question (look at attached). Because the lines are parallel, g will equal to 180(a straight line is 180 degrees is 53 degrees

What is transversal?

A transversal is a line in geometry that connects two lines in the same plane at two different places. When determining whether two or more other lines in the Euclidean plane are parallel, transversals are important.

This is a transversal question (look at attached). Because the lines are parallel, g will equal to 180(a straight line is 180 degrees) - a. Then, because g + f + e = 180 (since it is a straight line), substitute the values that we know and solve. (61) + f +(66) = 180. f = 53

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Answer:

55.92

Step-by-step explanation:

[tex]f(x)[/tex] doesn't depend on x.

Answer:

[tex]\bf r=0[/tex]

Step-by-step explanation:

[tex]\bf -2r+15=-3\left(-2r-7\right)-6[/tex]

Expand: *-3(-2r-7)-6 = 6r+15* :-

[tex]\bf -2r+15=6r+15[/tex]

Subtract 6r from both sides:-

[tex]\bf -2r+15-6r=6r+15-6r[/tex]

[tex]\bf -8r+15=15[/tex]

Subtract 15 from both sides:-

[tex]\bf -8r+15-15=15-15[/tex]

[tex]\bf -8r=0[/tex]

Divide both sides by -8:-

[tex]\bf \cfrac{-8r}{-8}=\cfrac{0}{-8}[/tex]

[tex]\bf r=0[/tex]

__________________

Hope this helps you!

Have a good day!

Answer:

r=0

Step-by-step explanation:

-2r+15=-3(-2r-7)-6

-2r+15= 6r+21-6

-2r+15=6r+15

-6r.     -6r

-8r+15=15

    -15.  -15

-8r=0

/-8. /-8

r=0

hopes this helps

The length of the second rectangle is 30cm

Two rectangles are similar when the corresponding adjacent sides have the same ratio. We do not need to check the angles as all angles in a rectangle are 90 degrees.

all rectangles are not similar rectangles. The ratio of the corresponding adjacent sides may be different.

length the length and width of first rectangle be L1 and W1 and length and width of second rectangle be L2 and W2

then the ratio of length should be equal to ratio of width since both rectangles are similar

L1/L2 = W1/W2

L1 = 21cm, W1 = 14cm, W2 = 20cm

21/L2 = 14/20

cross multiply

14L2 = 420

L2 = 420/14

L2 = 30cm

In conclusion the length of second rectangle is 30cm

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Using the percentage concept, it is found that 60.29% of the people surveyed were completely satisfied with the car.

Which percentage does that mean?

A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total.

                       The proportion therefore refers to a component per hundred. Percent signifies for every 100. The letter "%" stands for it.

In this problem, researching in the internet, it is found that:

A total of 1260 + 650 + 180 = 2090 people were surveyed.

Of those, 1260 were completely satisfied.

Hence

      P = 1260/2090 * 100%  = 20.29%

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