Write a unit rate for the situation. Round to the nearest hundredth if necessary.


Traveling 212 km in 6h

Answer:

She is going at the rate of 4.5 feet per second.

Step-by-step explanation:

Given:

The rate of walking is 90 yards per minute.

Now, to find the rate in feet per second.

1 yard = 3 foot.

1 minute = 60 seconds.

So, first we find the rate of walking per second in yard = [tex]90\div 60[/tex]

Therefore by dividing we get = [tex]1.5 yard[/tex]

Now, we find the rate of walking per second in feet = [tex]1.5\times 3[/tex]

So, by multiplying we get = [tex]4.5 feet[/tex]

Therefore, she is going at the rate of 4.5 feet per second.

Answer:

982.695

Step-by-step explanation:

9.359 x 105 = 982.695

Answer:

In the recipe are 1,656 milliliters of milk

Step-by-step explanation:

The correct question is

A recipe for ice cream calls for 1.656 liters of milk.How many millimeters of milk are in the recipe?

Remember that

[tex]1\ liter=1,000\ milliliters[/tex]

To convert liters to milliliters multiply by 1,000

so

[tex]1.656\ L=1.656(1.000)=1,656\ mL[/tex]

therefore

In the recipe are 1,656 milliliters of milk

Number of adults = 40

Number of children = 156

Step-by-step explanation:

Let x be the number of adults and

y be the number of children

Then according to given statements

[tex]x+y=196\ \ \ Eqn\ 1\\2.0x+1.50y = 314\ \ \ Eqn\ 2\\[/tex]

From equation 1:

[tex]x+y = 196\\x = 196-y[/tex]

Putting in equation 2

[tex]2(196-y) + 1.50y = 314\\392-2y+1.50y = 314\\392-0.5y = 314\\-0.5y=314-392\\-0.5y=-78[/tex]

Dividing both sides by -0.5

[tex]\frac{-0.5y}{-0.5} = \frac{-78}{-0.5}\\y = 156[/tex]

Putting y = 156 in equation 1

[tex]x+156 = 196\\x = 196 - 156\\x = 40[/tex]

Hence,

Number of adults = 40

Number of children = 156

Keywords: Linear equations, Variables

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Answer:

8 times more 8*2 1/2 = 20 pounds.

Step-by-step explanation:

Answer:

20 pounds of grass seed is needed for one acre.

Step-by-step explanation:

You can set up a proportion to solve:

[tex]\frac{2.5 pounds}{1/8 acre}[/tex] = [tex]\frac{x pounds}{1 acre}[/tex]

Cross multiply:

[tex]\frac{1}{8}[/tex]x = 2.5

Divide both sides by [tex]\frac{1}{8}[/tex] or multiply both sides by 8.

x = 20

Answer:

[tex](4-\sqrt{19},4+\sqrt{19)[/tex]

Step-by-step explanation:

we have

[tex]x^{2} -8x=3[/tex]

Divide the coefficient of term x by 2

[tex]-8/2=-4[/tex]

Squared the number

[tex](-4)^2=16[/tex]

Adds the number 16 to the both sides

[tex]x^{2} -8x+16=3+16[/tex]

[tex]x^{2} -8x+16=19[/tex]

Rewrite as perfect squares

[tex](x-4)^{2}=19[/tex]

take square root both sides

[tex](x-4)=(+/-)\sqrt{19}[/tex]

[tex]x=4(+/-)\sqrt{19}[/tex]

[tex]x_1=4(+)\sqrt{19}[/tex]

[tex]x_2=4(-)\sqrt{19}[/tex]

therefore

The solution set is

[tex](4-\sqrt{19},4+\sqrt{19)[/tex]

Answer:

its A

Step-by-step explanation:

Answer:

The surface area of right prism is 12 feet²  , option D

Step-by-step explanation:

Given as :

The measure of base = 4 ft

The height of base = 0.5 ft

The surface area of right prism = perimeter of base × height + 2 × base

Now ,

Perimeter of base = 4 + 4 = 8 ft

So, The surface area of right prism = 8 × 0.5 + 2 × 4

Or, The surface area of right prism = 4 + 8

∴ , The surface area of right prism = 12 feet²

Hence The surface area of right prism is 12 feet²  . Answer

Answer:

17.5 ft2

Step-by-step explanation:

Answer:

Paul Hastings checkbook balance be  $1753

Explanation:

We are given Paul Hastings

current checkbook balance is equal to $1345.00

and a deposit of $423.00  is said to be made in the bank

so the new balance will be addition of this deposit in the current balance also there's a deduction of $15 as service fee.

So the total checkbook balance will be after subtracting $15 from sum of current balance and deposit.

So his checkbook balance = $1345 + $423 - $15

                                             = $1753

which is the required value of checkbook.

Answer:

The cost of total lunch is 1.18 y ( 1+ 0.0 x )

Step-by-step explanation:

Given as :

The percentage of tip added tot he bill after tax = 18 %

Let the tax added to the bill = x % of total the lunch price

Let The total lunch cost = y

So, The cost of the lunch after tax = y + x %  × y

I.e The cost of lunch after tax = y × ( 1 +x % )

Or. The bill of lunch after tax = y × ( 1 + 0.0 x )

Now the cost of lunch after tax and tip =18 % of y × ( 1 + 0.0 x ) + y × ( 1 + 0.0 x )

Or, the cost of lunch after tax and tip =  y × ( 1 + 0.0 x ) (0.18 + 1 )

∴ The cost of lunch after tax and tip =  y × ( 1 + 0.0 x ) × 1.18

Hence The cost of total lunch is 1.18 y ( 1+ 0.0 x )  Answer

Answer:

We call a 21-sided polygon a Henacosagon.

Explanation:

See chart above

* 9 − nona-

I am joyous to assist you anytime.

The name of a 21 sided polygon is Henicosagon.

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. The interior of a solid polygon is its body.

Given that, what is the name of a 21 sided polygon,

Polygons have very simple names for the first twenty names.

They use a basic prefix naming system. Di, tri, tetra, penta, and so on.

But polygons with 21 to 99 sides have a different naming system.

First, we use a prefix for the tens (such as triaconta—30). Then we use a prefix for the ones (such as di—20).

At last, we put them together with a ‘kai’ between them. This would be formatted to look like (tens)kai(ones)gon.

In simpler words, a 32-sided polygon. We can normally refer to it as a 32-gon.

Hence, the name of a 21 sided polygon is Henicosagon.

Learn more about polygons, click;

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Answer:

y-3=-1/2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

perpendicular means negative reciprocal of the current slope,

and the negative reciprocal of 2 is -1/2.

y-3=-1/2(x-4)

Answer:

160 member

Step-by-step explanation:

Here the question is, how many total member are there in the team?

Given: 144 member in the meeting is equal to 90% of the total group.

Let assume x be the total member in the green team.

Now, finding the number of member in the team, which is x.

[tex]\frac{90}{100} \times x = 144[/tex]

Next, cross multiply the number on both the side

⇒ [tex]x= \frac{144 \times 100}{90} = 16\times 10[/tex]

∴ x = 160

160 is the total number of member in green team.

Answer:

160 members

Step-by-step explanation:

How do I know this well 144/90 1.6 take away the decimal and it is 16 add a 0 from the 90 and 160

Answer: the answer is B. 5p

Step-by-step explanation:

just did it so i know its right:)

comment if so!

Answer:15.6

Step-by-step explanation:

Answer:

x = 5 and y = 14

Step-by-step explanation:

Given [tex]\triangle[/tex]ABC[tex]\cong \triangle[/tex]DEF.

Congruent triangles have congruent corresponding parts, so

[tex]AB\cong DE\\ \\AC\cong DF\\ \\BC\cong EF[/tex]

Since

[tex]AB=8\\ \\BC=19\\ \\AC=14\\ \\EF=4x-1\\ \\DE=y-6,[/tex]

then

[tex]4x-1=19\\ \\4x=19+1\\ \\4x=20\\ \\x=5[/tex]

and

[tex]y-6=8\\ \\y=8+6\\ \\y=14[/tex]

Since rectangle PQRS is rotated 90 clockwise about the origin what are the coordinates of R' are: A. R' (4, -1).

In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a clockwise direction would produce a point that has these coordinates (y, -x).

By applying a rotation of 90° clockwise about the center (origin), the coordinates of triangle A'B'C' are as follows;

(x, y)                               →            (y, -x)

Coordinate P (-3, -1)    →  Coordinate P' (-1, 3)

Coordinate Q (-1, -1)     →   Coordinate Q' (-1, 1)

Coordinate R (-1, -4)     →   Coordinate R' (-4, 1)

Coordinate S (-3, -4)     →   Coordinate S' (-4, 3)

Complete Question:

Rectangle PQRS is rotated 90 clockwise about the origin. What are the coordinates of R'?

Answer:

314 of the people attending the fun fair are people living in the neighborhood

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of people attending the fun fair = 2,512

Fraction of people attending the fun fair that are students = 5/8

Fraction of people attending the fun fair that are parents = 1/4

Rest of the people attending the fun fair lives in the neighborhood

2. Let's calculate the number of students, parents and people living in the neighborhood

Students:

Fraction of people attending the fun fair that are students = 5/8

5/8 * 2,512 = 1,570

1,570 of the people attending the fun fair are students

Parents:

Fraction of people attending the fun fair that are parents = 1/4

1/4 * 2,512 = 628

628 of the people attending the fun fair are parents

People living in the neighborhood

2,512 - 1,570 - 628 = 314

314 of the people attending the fun fair are people living in the neighborhood

Answer:

y = 2x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange y - 2x = 3 into this form by adding 2x to both sides

y = 2x + 3 ← in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (3, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of line

Answer:

salary based on how many sales are made

Step-by-step explanation:

Answer:

B) -x+8

Step-by-step explanation:

8-4(x-6)=8-4x+24=-4x+32

(-4x+32)/4=-x+8

Answer:

the answer is B did it on edge

Step-by-step explanation:

please give brainlist

Answer:

16x-20

Step-by-step explanation:

(8x-30)+6x+(2x+10)

8x-30+6x+2x+10

8x+6x+2x-30+10

14x+2x-20

16x-20

There's a 16% probability that the air-conditioning unit will take longer than 25 minutes to cool a 2000-square-foot home by 1 degree on a 95-degree day with 80% humidity, based on the empirical rule of normal distribution.

To find the probability of the air-conditioning unit taking longer than 25 minutes to cool the house 1 degree, you first have to understand that the situation described follows a normal distribution with a mean (μ) of 24 minutes and a standard deviation (σ) of 1 minute.

Using the Empirical Rule, also known as the 68-95-99.7 rule, we can assess probabilities for normal distributions.

According to the Empirical Rule, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Since we are interested in the time more than 25 minutes, we are looking at the area to the right of the mean plus 1 standard deviation (24 + 1 = 25 minutes).

Approximately 68% of the data falls within one standard deviation (between 23 and 25 minutes), so about 34% is below 25 minutes, and another 34% is above. However, we're interested in the portion beyond 25 minutes, falling in the tail.

Because 50% of the distribution falls above the mean (by definition of a normal distribution), and we account for the 34% within one standard deviation above the mean, this leaves us with 50% - 34% = 16% of data points (times in this case) falling beyond 25 minutes on a 95-degree day with 80% humidity.

Answer:

2y-4-6y-12=4

-4y=20

y= -5

Step-by-step explanation:

because (y+2)(y-2)=y^2-4

so we have the step to let the every part have the same denominator y^2-4

2(y-2)/(y+2)(y-2)  -6(y+2)/(y-2)(y+2)=4/(y-2)(y+2)

the denominators are the same so the equality .we just need the part over be the same 2y-4-6y-12=4

y= -5

Answer:

y-3=3/5x

Step-by-step explanation:

y-y1=m(x-x1)

Where m=slope and (x1, y1) is a point on the line.

m=(y2-y1)/(x2-x1)

m=(0-3)/(-5-0)

m=-3/-5

m=3/5

y-3=3/5(x-0)

y-3=3/5(x)

y-3=3/5x

(0, 3) is the y-intercept as it passes through y = 3 at x = 0, or the y-axis.

Slope:

[tex] \frac{y1 - y0}{x1 - x0} = \frac{3 - 0}{0 - ( - 5)} = \frac{3}{5} [/tex]

Equation of a straight line:

y = mx + c

m = slope (3/5)

c = y value of y-intercept (3)

Equation:

[tex]y = \frac{3}{5} x + 3[/tex]

Answer:

The rule which allows us to change the sign of an exponent is called the negative exponent rule.

Step-by-step explanation:

Consider the provided information.

The negative exponent rule is the rule which allows to change the sign of an exponent.

[tex]x^{-1}=\frac{1}{x}[/tex]

According to negative exponent rule: A negative exponents in the numerator moved to the denominator and become positive exponents.

If A negative exponents in the denominator moved to the numerator and become positive exponents.

Hence, the required statement is: The rule which allows us to change the sign of an exponent is called the negative exponent rule.

The three integers are 5,17 and -10

Step-by-step explanation:

Let x, y and z be three integers then

[tex]x+y+z=12 \ \ \Eqn\ 1[/tex]

'The sum of the first and second integers exceeds the third by 32'

[tex]x+y=z+32\ \ \ \ Eqn\ 2[/tex]

The third integer is 15  less than the first.

[tex]z=x-15\ \ \ \ Eqn\ 3[/tex]

From Eqn 2:

[tex]x+y=z + 32\\x+y-z=32[/tex]

Subtracting Eqn 1 from eqn 2

[tex]x+y-z-(x+y+z)=32-12\\x+y-z-x-y-z=20\\-2z=20[/tex]

Dividing both sides by -2

[tex]\frac{-2z}{-2}=\frac{20}{-2}\\z=-10[/tex]

Putting z=-10 in Eqn 3

[tex]z=x-15\\-10=x-15\\x=15-10\\x=5[/tex]

Putting x=5 and z=-10 in Eqn 1

[tex]x+y+z=12\\5+y-10=12\\y-5=12\\y=12+5\\y=17\\[/tex]

Hence,

The three integers are 5,17 and -10

Keywords: Linear Equations, Variables

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Answer:

First = 5, second = 17, third = -10

Step-by-step explanation:

First integer = x

The third integer is 15 less than the first, so

Third integer = x - 15

The second integer = y

The sum of the first and second integers exceeds the third by 32, so

The sum of the first and second integers = x + y

The third integer = x - 15

x + y is 32 more than x - 15, hence

x + y - 32 = x - 15

y - 32 = -15

y = 32 - 15

y = 17

The second integer = 17

The sum of three integers is 12, so

x + 17 + x - 15 = 12

2x + 2 = 12

2x = 12 - 2

2x = 10

x = 5

x - 15 = 5 - 15 = -10

There are 29 nickles in the pile.

Step-by-step explanation:

Let,

nickles = x

dimes = y

Total coins = 82

Total worth = $6.75 = 6.75*100 = 675 cents

1 nickle = 5 cents

1 dime = 10 cents

According to given statement;

x+y=82    Eqn 1

5x+10y=675   Eqn 2

Multiplying Eqn 1 by 5;

[tex]5(x+y=82)\\5x+5y=410\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](5x+10y)-(5x+5y)=675-410\\5x+10y-5x-5y=265\\5y=265[/tex]

Dividing both sides by 5;

[tex]\frac{5y}{5}=\frac{265}{5}\\y=53[/tex]

Putting y=53 in Eqn 1

[tex]x+53=82\\x=82-53\\x=29[/tex]

There are 29 nickles in the pile.

Keywords: linear equations, subtraction

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Answer:

The volume of paint that covers the whole car is [tex]1\frac{1}{4}[/tex] gallons or one and a quarter gallons.

Step-by-step explanation:

Let the volume of paint required to cover whole car be 'x'.

Given:

Volume of paint to cover one-fifth of a car = one-fourth of a gallon.

We use unitary method to determine the volume of paint required.

∵ One-fifth of a car requires paint = [tex]\frac{1}{4}\ gal[/tex]

∴ Whole volume of car requires paint = [tex]\frac{\frac{1}{4}}{\frac{1}{5}}[/tex]

[tex]=\frac{1}{4}\times \frac{5}{1}\\=\frac{5}{4}\\=1\frac{1}{4}\ gal[/tex]

Therefore, the volume of paint that covers the whole car is [tex]1\frac{1}{4}[/tex] gallons or one and a quarter gallons.

Answer:

C = 80pF

Step-by-step explanation:

The total capacitance of 4 capacitors connected in series is given by:

[tex]Ct = \frac{1}{1/C1 + /C2 + 1/C3 + 1/C4}[/tex]

[tex]Ct = \frac{1}{1/C + /C + 1/C + 1/C}[/tex]

[tex]Ct = \frac{1}{4/C}[/tex]

[tex]Ct = \frac{C}{4}=20pF[/tex]

Solving for C:

C = 4*20pF

C = 80pF

Answer: The answer is -9

Step-by-step explanation:

7z<-28= -9

Because we take the -28 and add 19 because that's the common denominator and we come up with -9