0.202 round to the hundredth

Answer:

Number of oranges = 8

Step-by-step explanation:

let

a = number of apples

n = number of oranges

Number of apples = 6

Cost of each apple = 0.75

Number of oranges = n

Cost of each orange = $1.25

Total cost = $14.50

Total cost = Number of apples * Cost of each apple + Number of oranges * Cost of each orange

14.50 = 6 * 0.75 + n * 1.25

14.50 = 4.5 + 1.25n

14.50 - 4.5 = 1.25n

10 = 1.25n

n = 10 / 1.25

n = 8

Number of oranges = n = 8

Therefore, there are 8 oranges in a bagful of orange

Answer:

Centre = (-1, 5)

radius = 8units

Explanation

The standard form of the equation of a circle is expressed as

x^2+y^2+2gx+2fy+C = 0

Center = (-g, -f)

radius = √g²+f²-C

Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.

On comparing

2gx = 2x

2g = 2

g = 2/2

g = 1

2fy = -10y

2f =-10

f =-5

Centre = (-1, -(-5)) = (-1, 5)

radius  = √1²+5²-(-38)

radius = √1+25+38

radius = √64

radius = 8units

Given:

Renee has dimes and quarters in her wallet that total $1.60.

She has 2 more dimes than quarters.

To find:

The number of each type of coins.

Solution:

Let x be the number of dimes and y be the number of quarters.

She has 2 more dimes than quarters. So,

[tex]x=y+2[/tex]            ...(i)

We know that,

1 dime = $0.10

1 quarter = $0.25

Renee has dimes and quarters in her wallet that total $1.60. So,

[tex]0.10x+0.25y=1.60[/tex]              ...(ii)

From (i) and (ii), we get

[tex]0.10(y+2)+0.25y=1.60[/tex]

[tex]0.10y+0.20+0.25y=1.60[/tex]

[tex]0.35y=1.60-0.20[/tex]

[tex]0.35y=1.40[/tex]

Divide both sides by 0.35.

[tex]y=\dfrac{1.40}{0.35}[/tex]

[tex]y=4[/tex]

Substituting [tex]y=4[/tex] in (i), we get

[tex]x=4+2[/tex]

[tex]x=6[/tex]

Therefore, the number of dimes is 6 and the number of quarters is 4.

Answer:

18 ft

Step-by-step explanation:

Since the triangle is right angled ; we could use trigonometry ;

Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x

Cos θ = Adjacent / hypotenus

Cos 40 = 14 / x

0.7660444 = 14 / x

0.7660444x = 14

x = 14 / 0.7660444

x = 18.27

= 18 ( nearest foot)

Answer:19

Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank

Answer:

question one:

x = 6.018150231520483

adjacent angle = 7.986355100472928

Step-by-step explanation:

i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations

it automaticly does sin, cos, and tan for you.

Answer:

65

Step-by-step explanation:

Since they drove for 2 hours at an average rate of 40 miles per hour, they've travelled [tex]40\cdot 2=80[/tex] miles so far. Therefore, they still have [tex]145-80=\boxed{65}[/tex] miles to go.

Answer:

65

Step-by-step explanation:

Since u traveled for 2 hours at 40 miles per hour, you have traveled for 80 miles. Then u subtract the total miles, 145 by 80

145-80

= 65 more miles

Answer: [tex]100\ cm^3[/tex]

Step-by-step explanation:

Given

The ratio of mixture of sand and cement is 5:3

If the total volume of mixture is [tex]160\ cm^3[/tex]

Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.

[tex]\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3[/tex]

Sand [tex]5x=5\times 20=100\ cm^3[/tex]

So, there is [tex]100\ cm^3[/tex] of sand in the mixture

Answer:

the ans has to be 6.........

Answer:

{-2, -1 , 3}

Step-by-step explanation:

When we have a set like:

{x₁, x₂, x₃}

The mode is the value that appears the most, so if there is no mode, then each value appears just one time.

The median is the middle value, here we know that the median is -1, then we can rewrite the set as:

{x₁, -1 , x₃}

The mean is computed as:

Mean = (x₁ + x₂ + x₃)/3

in this case we know that the mean is 0, then:

0 =  (x₁ + x₂ + x₃)/3

then the numerator must be zero, so:

0 =  (x₁ + x₂ + x₃)

replacing the value of x₂ = -1 we get:

0 = (x₁ - 1 + x₃)

where:

-5 < x₁ < -1 < x₃ ≤ 3

Now we can select the values of x₁ and x₃ such that the sum is equal to zero, and it meets the wanted restrictions.

here we can choose x₃ to be equal to 3 (the maximum allowed value), I do this because I noticed that the other values that are larger than -1 will not work (just with quick math).

then:

0 = x₁ - 1 + 3

Now we can solve this for x₁

0 = x₁ + 2

-2 = x₁

Then the set is:

{-2, -1 , 3}

Answer:

20 km

Step-by-step explanation:

Circumference is given by

C = pi*d

20 pi = pi *d

Divide  each side by pi

20 =d

I dkabouthtisoneiuisrhihurg

Answer:

the anser is no.b that is 30°

Answer:

90°

Step-by-step explanation:

There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:

180-150=30

So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.

[tex]3x+2x+30=180[/tex]

Combining like terms, we get:

[tex]5x+30=180[/tex]

Isolating x, we get:

[tex]5x=150[/tex]

Dividing both sides by 5, we get:

[tex]x=30[/tex]

So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:

[tex]3x=3(30)=90[/tex]

Therefore, the answer is 90°. Hope this helps!

Answer: c

Step-by-step explanation:

Answer:

= $1226.25

Step-by-step explanation:

There are 327 students

Each student lunch is $3.75

She needs 327 of these $3.75 lunches

So 327 times $3.75

= $1226.25

Step-by-step explanation:

answer is in photo above

Answer:

0.25

Step-by-step explanation:

f(1)=(1/4)^1

0.25

Answer:

x=16

..................

Answer:

[tex]5^{3}[/tex] · [tex]5^{8}[/tex] = [tex]5^{11}[/tex]

Step-by-step explanation:

when the bases are the same, add exponents

Answer:

4/27

Step-by-step explanation:

F(x) = 4(1/3)^x

Let x =3

F(3) = 4(1/3)^3

Exponents first

F(3) = 4 * 1/27

Then multiply

f(3) = 4/27

Answer:

4/27

Step-by-step explanation:

f(x) = 4(1/3)^x

f(3) = 4(1/3)^3

f(3) = 4(1/27)

f(3) = 4/27

hope that helps

Answer:

[tex]\frac{-4x+7}{2(x-2)}[/tex]

Step-by-step explanation:

[tex]For x \neq 1 \\\frac{\frac{3}{x-1}-4}{2-\frac{2}{x-1}}=\frac{\frac{3}{x-1}-\frac{4x-4}{x-1}}{\frac{2x-2}{x-1}-\frac{2}{x-1}}=\frac{\frac{-4x+7}{x-1}}{\frac{2x-4}{x-1}}=\frac{-4x+7}{2(x-2)}[/tex]

The equivalent expression is 2(x - 2) / (-4x + 7).

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify the given expression:

[3/(x - 1) - 4] / [2 - 2/(x - 1)]

We need to find a common denominator for the two fractions in the numerator and denominator of the main fraction.

The common denominator for the numerator is (x - 1) and for the denominator is 2(x - 1).

We can then rewrite the expression as:

[3 - 4(x - 1)/(x - 1)] / [2(x - 1) - 2/(x - 1)]

Simplifying the numerator by distributing the -4:

(3 - 4x + 4) / (x - 1)

(-4x + 7) / (x - 1)

Now, simplifying the denominator by finding a common denominator:

2(x - 1) - 2/(x - 1)

= (2x - 2 - 2)/(x - 1)

= 2(x - 2)/(x - 1)

Substituting back into the original expression, we get:

(-4x + 7)/(x - 1) / [2(x - 2)/(x - 1)]

Multiplying by the reciprocal of the denominator:

(-4x + 7)/(x - 1) x (x - 1)/[2(x - 2)]

(-4x + 7)/[2(x - 2)]

Therefore,

The equivalent expression is 2(x - 2) / (-4x + 7).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

it is the second one

Step-by-step explanation:

the y intercept for the first one isnt the origin

It is decreasing from negative infinity to -2.5 for the first one

Answer:

I think b

Step-by-step explanation:

Answer:

As x reaches negative infinity y reaches negative infinity

Step-by-step explanation:

So, first off, when looking at graphs, there will always be a infinite end behavior.

This is because either the x or y axis can be set to a infinitly large number.

We can instantly set up a 2 things for this graph.

We see that y NEVER reaches postive infinity. This is because both left and right sides of the graph have downwards slopes.

This removes our second answer, because it is postive infinity for y.

It also removes our first answer, since it is just 5 for y, notn negative infinity.

Finally, it removes our third answer, since it is just 7 for y, not negative infinity.

This leaves D.

D is correct since y reaches negative infinity when x reaches both postive and negative infinity.

D says x is negativly infinite, which fits this.

So D is our answer.

Hope this helps!

Answer:

yes

Step-by-step explanation:

Answer:

it's hypotenuse will be -8

Answer:

61,70,79

Step-by-step explanation:

common difference=9

It is an arithmetic progression.

therefore next 3 terms of the sequence is 61,70,79

Answer:

61, 70,79

Step-by-step explanation:

34 - 25 = 9

43 - 34 = 9

52 - 43 = 9

52 + 9 =61

the pattern is plus 9

Answer:

∠ RST = 68°

Step-by-step explanation:

Since RT = ST then the triangle is isosceles with 2 base angles congruent

∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°

Answer:

469.875 square feet

Step-by-step explanation:

Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):

125.3(3.75)

= 469.875

So, she will be able to cover 469.875 square feet with soil

Answer:

(a) -1

(b) -2

Step-by-step explanation:

(a) Replace the a's with 1 and the b's with 3 to get 1*3 = 1-3+1 = -1

(b) We already figured out that (1*3) equals -1 so we just need to find -1*2. Using same strategy as part a, replace a and b with -1 and two, respectively. -1*2 = -1-2+1= -2. Hope this helps and sorry if I made a mistake. :)