Tony bought 8 yards of fabric. He
made masks using 1/8 yd. for each mask.
If he had 1 2/8 yds. Of fabric left over how
many masks did he make?

Answer:

The closet equivalent of the ratio of 'a' to 'c' is:

\(\frac{a}{c}=1.680\:\)

Step-by-step explanation:

Given

i.e.

a=0.63x

i.e.

c=3/8x

Hence,

\(\frac{a}{c}=\frac{0.63x}{\frac{3}{8}x}\)

\(\frac{a}{c}=1.680\:\)

Thus, the closet equivalent of the ratio of 'a' to 'c' is:

\(\frac{a}{c}=1.680\:\)

9514 1404 393

Answer:

Step-by-step explanation:

If u represents the desired usage rate, then the proportion is ...

  km/liters = ...

  u/100 = 1350/120

  u = 100(1350/120) = 1125 . . . . km/100 L — first vehicle

and ...

  u/100 = 940/88

  u = 100(940/88) = 1068.2 . . . . km/100 L — second vehicle

Answer:

14p -3

Step-by-step explanation:

-7p 3(4p 2+3p - 1)

3x4= 12p

3x3=9p

12+9= 21

21-7=14p

3x2=6

3x-3=-9

-9 +6= -3

= 14p -3

hope this helps :)

Distance is the number of units between points.

The distance that are 7 units from 4 are: 11 and -3

A distance of 7 units from 4 means:

\(x - 7 = 4\)  or \(x + 7 =4\)

Where:

x is the required distance

Solve for x in both equations.

\(x - 7 = 4\)

\(x = 7 + 4\)

\(x = 11\)

\(x + 7 =4\)

\(x =4 - 7\)

\(x =- 3\)

So, the distance that are 7 units from 4 are: 11 and -3

See attachment for illustration

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ANSWER

EXPLANATION

Gabrielle's membership to the local car wash costs $60.00 - let's assume this fee is paid monthly. With this membership, each visit costs $20.00, so for v visits, she will pay $20.00v - plus the membership.

The total cost for v visits is,

To fill in the first column of the table, we have to plug the values of v in the equation above and solve,

Then, to find the cost per visit we have to divide each of these costs by the number of visits,

Answer:

m = 50h

Step-by-step explanation:

Distance = (speed)(time)

Answer

14(1+3)

Explanation

The greatest common factor of 14 and 42 is 14.

Divide 14 and 42 each by 14.

14÷14=1

42÷14=3

So 14+42 factored is 14(1+3).

You can also check your answer.

1+3=4

14×4=56

-----

14+42=56

Speed = distance / time

Speed = 4/3 / 1/10

When dividing fractions flip the second fraction over and multiply:

Speed = 4/3 x 10/1 = (4 x 10)/(3 x1) = 40/3 miles per hour

Answer:

15 dog heights; \(n=15\)

Step-by-step explanation:

The formula to be used here is \(MOE_\gamma=z_\gamma*\sqrt{\frac{\sigma}{n} }\) where:

We are given that:

To determine the minimum sample size, \(n\), we plug our given values into the formula and solve for

\(MOE_\gamma=z_\gamma*\sqrt{\frac{\sigma}{n} }\)

\(1=1.96\sqrt{\frac{3.7}{n} }\)

\(\frac{1}{1.96}=\sqrt{\frac{3.7}{n} }\)

\((\frac{1}{1.96}) ^{2}=\frac{3.7}{n}\)

\(n=\frac{3.7}{(\frac{1}{1.96})^{2} }\)

\(n=14.21392\)

Don't forget to round up here! This means that \(n=15\) actually.

Therefore, if we want to be 95% confident that the sample mean is within 1 inch of the true population mean, the minimum sample size that can be taken is 15 dog heights.

Please mark brainliest if you found my answer and explanation helpful!

Answer:

B.

Step-by-step explanation:

Yes, because the product of their slopes are -1. Rest explanation in the attached file. Hope it helps :)

Answer:

AB(y = ax + b) contains A(2, 1) and B(3, 4)

=> 2a + b = 1

    3a + b =4

=> a = 3, b= -5 => Slope AB = a = 3

CD (y = cx + d) contains C(-2, -1) and D(1, -2)

=> -2c + d = -1

       c  + d = -2

=> c = -1/3, d = -5/3 => Slope CD = c =-1/3

If AB is perpendicular to CD, then Slope's AB x Slope's CD = -1

Check:

a x c = 3 x (-1/3) = -1

=> AB is perpendicular to CD

=> Option B is correct.

Hope this helps!

:)

Answer:

they love each other

Step-by-step explanation:

...........

Answer:

fmax = xy =  26 × 13 = 338

(x,y) = (26,13)

Step-by-step explanation:

Given that:

f(x, y) = xy

subject to x + 2y = 52

So;

x = 52 - 2y

and;

f(x, y) = xy

f(x, y) = (52- 2y) y

f(x, y) =  52y - 2y²

In order to maximize this function;

52y - 2y² = 0

26 y - y² = 0

26 - 2y = 0

-2y = -26

y = -26/-2

y = 13

Again:

x = 52 - 2y

x = 52 - 2(13)

x = 52 - 26

x = 26

fmax = xy =  26 × 13 = 338

(x,y) = (26,13)

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Answer:

Linearrrrrrrrrrrrrrrrr

Answer: The surface area of the rectangular prism is approximately 4 square yards.

Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

So, we have:

160 = lwh

Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.

Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:

lw = V/h = 160/10 = 16

Now, we have two equations:

lw = 16

wh = 160/10 = 16

Solving for w in the first equation, we get:

w = 16/l

Substituting this expression for w in the second equation, we get:

l(16/l)h = 16

Simplifying, we get:

h = 1

Therefore, the dimensions of the rectangular prism are:

length = l

width = 16/l

height = 10

Now, we can calculate the surface area of the rectangular prism using the formula:

SA = 2lw + 2lh + 2wh

Substituting the values we found, we get:

SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))

SA = 32/l + 20l + 160/l

To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:

dSA/dl = -32/l^2 + 20 + (-160/l^2)

0 = -32/l^2 + 20 - 160/l^2

52/l^2 = 20

l^2 = 52/20

l ≈ 1.44

Substituting this value of l back into the expression for SA, we get:

SA ≈ 4 square yards

Therefore, the surface area of the rectangular prism is approximately 4 square yards.

Answer:  A. The slope is \(-\dfrac{4}{3}\).

Step-by-step explanation:

The slope of a line helps to specify the direction of the line.

The slope of a line that passes through (a,b) and (c,d) is given by :-

\(\text{Slope}=\dfrac{d-b}{c-a}\)

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

\(\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}\)

Hence, the slope is \(-\dfrac{4}{3}\).

If the point you end up at is coordinate (0.25, 0) then you would have ran one full lap around the track.

1. The given track is a circular track with a radius of 0.25 miles, and the center of the track is at (0, 0).

2. If you end up at the point (0.25, 0), then you would have ran one full lap around the track. This is because the coordinates of the point you end up at, (0.25, 0), are the same as the coordinates of the circumference of the track, which is located 0.25 miles from the center of the track.

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Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

Website a is cheaper by 29 cents

Step-by-step explanation:

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer:

20:9

Step-by-step explanation:

Here we will simplify the ratio to 40:18 for you and show you how we did it.

To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.

The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:

20:9

Answer:d=4

Step-by-step explanation:

The value added produced through the production of products and services in a nation over a specific time period is typically measured by its gross domestic product (GDP).

The value added produced through the production of products and services in a nation over a specific time period is typically measured by its gross domestic product (GDP). As a result, it also accounts for the money made from that manufacturing, or the total amount spent on finished goods and services (less imports).

GDP is calculated as private consumption plus gross domestic product (GDP), government investment, and government spending (exports – imports). Usually, GDP is estimated using the international standard by the nation's national statistical agency.

The average annual growth rate (AAGR) is the average rise or fall in the value of an investment asset, portfolio, or cash flow over a given time frame. By averaging out the provided year-over-year growth rates, the AAGR is calculated.

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Answer:

(-2,0), no x intercept

2. (0.8333333333333333,0) and it would be a dotted boundary line shaded on the bottom half

Step-by-step explanation:

Answer:

The final balance is $36.5.

The total compound interest is $6.5.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

im passed the assgnment

There are 10 bundles and 1 sticks in the Popsicle sticks

Given that  Sasha has 47 Popsicle sticks (4 bundles of 10 and 7 sticks)

4B+7S=47

Jose has 62 (6 bundles of 10 and 2 sticks).

6B+2S=62

We have to find B and S values

12B+21S=141

12B+4S=124

Subtract both the equations

21S-4S=141-124

17S=17

Divide both sides by 17

S=1

Now let us plug in the value of S

4B+7=47

4B=40

B=10

Hence, there are 10 bundles and 1 sticks in the Popsicle sticks

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When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.

A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.

Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.

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