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Solve eight and three fifths minus two and four ninths.

A) six and seven forty fifths
B) six and seven fourteenths
C) seven and seven forty fifths
D) seven and seven fourteenths

Answer:

Step-by-step explanation:

Given the area of the square as A = 98ft²

The side length of the square will be equivalent to the diameter of the circle.

First we need to get the length of the square.

Area of a square = L^2

98 = L²

L = √98

L = 9.89 ft

Hence the diameter of the circle is 9.89 ft

radius = diameter/2

radius = 9.89/2

radius ≈ 4.95 feet

Hence the radius of the circle is approximately 4.95 feet

Answer:

Step-by-step explanation:

Which tables give sets of values that satisfy the linear function y = 2x – 6

Answer: 2

Step-by-step explanation: 4/2=2

Answer:

you could be correct but I think it's B

1.25 or 5/4

Step-by-step explanation:

Answer:

please mark me as brainlist

Answer:

Yes, the cost per order is a linear function of the number of copies you order (up to 100).

Step-by-step explanation:

Let;

y = Total cost of order from one copy up to 100 copies or dependent variable

a = Cost of 50 copies or fixed intercept

x = Cost of 51 copies or more up to 100 copies or dependent variable, i.e. 51 = x [tex]\leq[/tex] 100

b = Coefficient of x = 1 - Discount rate = 1 - 15% = 1 - 0.15 = 0.85

We can therefore represent have a function as follows:

y = a + bx ........................ (1)

Substituting b = 0.85 into equation (1), we have:

y = a + 0.85x ...................... (2)

Equation (2) implies that as b equal to 51 or more up to 100, y also increases. Equation (2) is therefore an example of linear function which will give an upward sloping straight line and can be rewritten as:

y = f(x) = a + 0.85x ................. (3)

Therefore, the cost per order is a linear function of the number of copies you order (up to 100).

Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase

Answer:

What do you need to know?

Step-by-step explanation:

Answer:

gfgfcvfvghcghccghcgcvchdcfgcfcfrtyc

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

20-5=15 - change in numbers

15/20×100%= 75%

Answer:

(5, 1)

Step-by-step explanation:

Given the coordinates W(3, 7) and Y(13, -8) divided into the ratio 3:2

The midpoint formula is expressed as;

M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)

a = 3,

b = 2

x1 = 3

y1 = 7

x2 = 13

y2 = -2

To get the coordinate of X

x = ax1+bx2/a+b

x = 3(3)+2(123/3+2

x = 9+26/5

x = 35/5

x= 7

y= ay1+by2/a+b

y = 3(7)+2(-8)/2+3

y = 21-16/5

y = 5/5

y = 1

Hence the coordinate of X is (x, y) = (5, 1)

Answer: A (-2,5)

Step-by-step explanation:

One possible solution from the graph is selling 3 bags of popcorn and 4 bags of pretzel

Inequality is the non equal comparison of two or more variables and numbers.

Let x represents the number of bags of popcorn purchased and y represents the number of pretzels purchased.

Hence:

8x + 5y ≤ 45   (1)

Also:

x + y > 6   (2)

One possible solution from the graph is (3, 4)

Find out more on inequality at: https://brainly.com/question/24372553

Answer:

a : b = 4 : 3

Step-by-step explanation:

(mark as brainlist answer)

According to the given condition is the question :

Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b

⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)

⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)

⇒ 0.15a + 0.12b = 0.12a + 0.16b

⇒ 0.03a = 0.04b

⇒ a/b = 4/3

⇒ a : b = 4 : 3

Answer:

[tex]t=\dfrac{9\pm 3}{6}[/tex]

[tex]1\ \text{hour}[/tex]

[tex]2\ \text{hour}[/tex]

Step-by-step explanation:

s = Speed of Emile = 6 miles/hour

d = Distance traveled by Emile = [tex](9\pm 3)\ \text{miles}[/tex]

Time taken to find the minimum and maximum time Emile ran for is

[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{9\pm 3}{6}[/tex]

The required equation is [tex]t=\dfrac{9\pm 3}{6}[/tex]

The time taken is

[tex]t=\dfrac{9-3}{6}\\\Rightarrow t=\dfrac{6}{6}\\\Rightarrow t=1\ \text{hour}[/tex]

The minimum number of hours Emile runs is 1 hour.

[tex]t=\dfrac{9+3}{6}\\\Rightarrow t=\dfrac{12}{6}\\\Rightarrow t=2\ \text{hour}[/tex]

The maximum number of hours Emile runs is [tex]2\ \text{hour}[/tex].

Answer:

|6x – 9| = 3

1 Hour

2 Hours

Step-by-step explanation:

The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_|6x – 9|= 3_. For each practice run, the minimum number of hours Emile runs is__1 hour_ and the maximum number of hours he runs is _2 hour.

Answer:

B

Step-by-step explanation:

there are 4 answers for each question, thats 8 all together. Two of the 4 are one vaild answers. Take 2/8 * 2/8 = 4/64 then you reduce that and get 1/16

Answer:

55 mph

Step-by-step explanation:

Assuming that

v = velocity of the plane in still air,

w = velocity of the wind.

We are given that v = 360 mi/hr.

Using the equation

x = vt

where

x is the distance an object travels

v is the speed of the object

t is the time taken

While the plane is flying downwind, the velocity becomes v + w. On the other hand, if it is flying upwind, the velocity becomes v - w.

For a particular time t = T, distance traveled x = 210 mi at downwind, and x = 150 mi at upwind.

Creating an equation from the two, we have

210 mi = (360 + w)T

150 mi = (360 - w)T

Solving for T, we have

T = 210/(360 + w)

T = 150/(360 - w)

And since T is the same in both cases, we say that

So, 210/(360 + w) = 150/(360 - w)

Or on rearranging,

(360 + w)/210 = (360 - w)/150

(360)(150) + 150w = (210)(360) - 210w

55800 + 150w = 75600 - 210w

360w = 19800

Therefore, the speed of the wind is 55 mile per hour

Answer:

180-112=68

Step-by-step explanation:

Answer:

Perimeter = 44.67

Step-by-step explanation:

Answer:

130 degrees

Step-by-step explanation:

Answer:

130 degrees

Step-by-step explanation:

This is a supplementary angle (or whatever the term was for two or more angles that add together to get 180 degrees). There is a total of 7x and 5 degrees. So you would set up the equation 180= 7x+5. Use the properties of equality and subtract 5 from both sides getting 175= 7x. Use the division property of equality to isolate the variable. Divide by 7 to get 25=x. Now just substitute for x in 5x+5 getting 125+5= 130. Sorry if I did a bad job at explaining

Answer:

x  = 1,77 in

Step-by-step explanation:

Total volume of molten plastic to make  a block is

1 [gal] - 1 L (lost in the process)  =  3,7854 - 1  =  2,7854

Now the volume of the block is:

1 foot  * 8 inches * x ( thick of the block )

1 foot is 0,3048 meter  and 1 inch is 0,0254 meter

Then  in m³  the volume of the block is

0,3048 * 8 * 0,0254 * x  =  0,06193536 * x  [ m³ ]

That volume should be equal to  2,7854 / 1000

Therefore

 0,06193536 * x  = 2,7854 / 1000        x in m³

x = 2,7854 /61,93536  m

x  =  0,044972  m      and    1 m  =  39,37 in

x  = 1,77 in

The expression [tex]\rm \frac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \frac{a^3b^4}{ab^{2}}[/tex]. Then the correct option is D.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}[/tex]

And a ≠ 0 and b ≠ 0.

The negative exponents have been eliminated.

We know that 1/a⁻ⁿ = aⁿ.

Simplify the expression, then the expression will be

[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}\\\\\rm \rightarrow \dfrac{a^3b^4}{ab^{2}}[/tex]

The expression [tex]\rm \dfrac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \dfrac{a^3b^4}{ab^{2}}[/tex].

Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

.2427

Step-by-step explanation:

If you don't need to show your work:

TI84 calculator:[2nd][vars][normalcdf][lower:2000][upper:2500][μ:1800][σ:300}[enter][enter]

[tex]\tt Step-by-step~explanation:[/tex]

To solve for n, we have to isolate n. To do so, we move all the terms that are not n to one side of the equation, and leave n on the other side.

[tex]\tt Steps:[/tex]

Equation: n + 5/16 = -1

Subtract 5/16 on both sides to bring it to the right side of the equation.

[tex]\tt n+5/16-5/16=-1-5/16\\\\n=-\frac{21}{16}~or~-1\frac{5}{16}[/tex]

[tex]\Large\boxed{\tt Our~final~answer:~n=-\frac{21}{16}~or~-1\frac{5}{16} }[/tex]

Answer:

$2.5

Step-by-step explanation:

Multiply 4 friends by $6.75 and find the product.

Subtract $27 from $37

Divide 10 by 4

Answer: $2.5

Step-by-step explanation:

Multiply 4 friends by $6.75 and find the product.

Subtract $27 from $37

Divide 10 by 4