A bicycle wheel with the diameter 70cm is making 25 revolutions while travelling. Find the distance covered by the bicycle

B. 2 * 8 - 5 = 11

2 * 8 = 16

16 - 5 = 11

z = 8

Answer:

So the Correct option is

[tex]a_{1}=17;\ d=-3[/tex]

Step-by-step explanation:

Given:

Let

A(1, 17),

B(2, 14),

C(3, 11),

D(4, 8),

E(5, 5), and

F(6, 2) be the Points For The Sequence

Solution:

For the First Term

A( 1, 17 )

[tex]a_{1}=17[/tex]

For the second Term

B(2, 14),

[tex]a_{2}=14[/tex]

For the third Term

C(3, 11),

[tex]a_{3}=11[/tex]

For the fourth Term

D(4, 8),

[tex]a_{4}=8[/tex]

For the fifthTerm

E(5, 5)

[tex]a_{5}=5[/tex]

For the sixth Term

F( 6, 2 )

[tex]a_{6}=2[/tex]

Now Common Difference 'd' is given as

[tex]d=a_{2}-a_{1}=14-17=-3\\\therefore d=-3[/tex]

So the Correct option is

[tex]a_{1}=17;\ d=-3[/tex]

Answer:

a1 = 17; d = −3

Step-by-step explanation:

Answer:

Should be used 28 pounds of pecans and 32 pounds of chocolate candies

Let

x -----> pounds of pecans used

y ----> pounds of chocolate candies used

we know that

-----> equation A

----->  -----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

Using a graphing tool

The solution is the point (28,32)

see the attached figure

therefore

Should be used 28 pounds of pecans and 32 pounds of chocolate candies

Answer:

Graph A

Step-by-step explanation:

As we know, in 3 minutes he washes 18 dishes. Without even doing any math, you can see that this is the only graph that represents that. The others show that he washes two dishes in 12 minutes, which doesn’t make sense.

Ned's rate of washing dishes is 6 dishes per minute. The graph representing the number of dishes Ned can wash in any number of minutes would be an upward sloping line originating from the origin. The slope of this line, or the rate of change, signifies Ned's dish-washing rate.

This is a typical problem in Mathematics subject related to speed or rate, specifically, it involves a rate of washing dishes. Ned can hand-wash 18 dishes in 3 minutes. Thus, Ned's rate of washing is 18 dishes per 3 minutes, or 6 dishes per minute.

The relationship between the dishes and the minutes is a direct proportional relationship since the amount of dishes Ned can hand-wash increases directly as the time increases.

To reflect this in a graph, we would have a straight, upward sloping line originating from the graph's origin (0,0). The slope of this line, or the rate of change, signifies the rate at which Ned can wash dishes.

Given that Ned can wash 6 dishes per minute, each point on the line should increase by 6 dishes for each increment of 1 minute on the time axis. Hence the correct graph would be a straight line with a slope of 6.

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Answer:

(y+z=6)*-3

Step-by-step explanation:

using this would make the top equation or (y+z=6) turn negative and would be this [-3y-3z=-18) using the distributive property. Since the bottom equation has a positive 3y. The -3y from the top equation and 3y from the bottom ones cancel out leaving you with z=-17 when combining like terms.

Answer:

c is the answer since you are trying to make the ys number (-/+) of the value the other y contains

(3) so you will multiply the first equation by -3 to be able to eliminate y

Answer:

add

Step-by-step explanation:

23456

Answer:

( 7, 5 )

Step-by-step explanation:

when reflected over the y axis they numbers are in quadrant 1 which means both numbers are positive.

Answer:

The correct answer is B. $310 at $2 per kilogram

Step-by-step explanation:

1. Let's find out the maximum profit Ms. Ortiz can make with a loaf of tomatoes:

function p(x)=–80x² + 320x – 10

For x = 1, price per kilogram of tomatoes would be: 4 - x = 3

–80x² + 320x – 10, replacing with x = 1

-80 * 1² + 320 * 1 - 10 = -80 + 320 - 10 = 230

For x = 2 price per kilogram of tomatoes would be: 4 - x = 2

–80x² + 320x – 10, replacing with x = 2

-80 * 2² + 320 * 2 - 10 = -320 + 640 - 10 = 310

For x = 3, price per kilogram of tomatoes would be: 4 - x = 1

–80x² + 320x – 10, replacing with x = 3

-80 * 3² + 320 * 3 - 10 = -720 + 960 - 10 = 230

The correct answer is B. $310 at $2 per kilogram

Answer:The correct answer is B.) $310 at $2 per kilogram

Hope this helps :D

Step-by-step explanation:

Multiply second equation by -1

-1 × (3x + 2y) = 3

-3x -3y = -3 now add this to the first equation

7x +2y = 17

(-3x-2y)= -3

7x +2y -3x -2y = 17 -3 (2y will eliminate -2y)

4x = 14

x = 7/2 now by using this information we found we can calculate the value for y

if 3x + 2y = 3 (replace x by 7/2)

3 ×(7/2)+2y = 3 ➡ 21/3 + 2y = 3 ➡ 2y = 3 - 21/3 ➡ 2ty = 15/2 ➡ y = 15/4

Answer:

see explanation

Step-by-step explanation:

(a)

A horizontal line parallel to the x- axis has equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (- 2, 4) with y- coordinate 4, thus

y = 4 ← equation of horizontal line

(b)

A vertical line parallel to the y- axis has equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 2, 4) with x- coordinate - 2, thus

x = - 2 ← equation of vertical line

Answer:

Option C. [tex](x-8)^{2}=52[/tex]

Step-by-step explanation:

we have

[tex]x^{2}-16x+12=0[/tex]

Complete the square

[tex](x^{2}-16x+8^2)+12-8^2=0[/tex]

[tex](x^{2}-16x+64)+12-64=0[/tex]

[tex](x^{2}-16x+64)-52=0[/tex]

rewrite as perfect squares

[tex](x-8)^{2}-52=0[/tex]

Move the constant to the right side

[tex](x-8)^{2}=52[/tex]

Number of hamburgers bought is 23 and number of bags of fries bought is 14

Let "h" be the number of hamburgers bought

Let "f" be the number of bags of fries bought

Cost of one hamburger = $ 1.49

Cost of one bag of fries = $ 1.19

Given that Ben spent a total of 50.93

Thus we can frame a equation as:

number of hamburgers bought x Cost of one hamburger + number of bags of fries bought x Cost of one bag of fries = $ 50.93

[tex]h \times 1.49 + f \times 1.19 = 50.93[/tex]

1.49h + 1.19f = 50.93 ------ eqn 1

Also given that the number of hamburgers was five less than twice the amount of fries

number of hamburgers bought = 2(number of fries) - 5

h = 2f - 5  ---------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "h" and "f"

Substitute eqn 2 in eqn 1

1.49(2f - 5) + 1.19f = 50.93

2.98f - 7.45 + 1.19f = 50.93

4.17f = 50.93 + 7.45

4.17f = 58.38

[tex]f = \frac{58.38}{4.17}[/tex]

Substitute f = 14 in eqn 2

h = 2(14) - 5

h = 28 - 5 = 23

Summarizing the results:

number of hamburgers bought = h = 23

number of bags of fries bought = f = 14

Answer:

A  5,7

Step-by-step explanation:

Answer:

n=8

Step-by-step explanation:

3n-5=19

3n=19+5

3n=24

n=24/3

n=8

Answer:

35.34 centimeters

Step-by-step explanation:

The amount of pizza is same as the area. The pizza is in a shape of a circle. The area of a circle is:

[tex]A=\pi r^2[/tex]

Where

r is the radius (half of diameter)

Area of one medium size pizza is (diameter 25 means radius is 25/2 = 12.5):

[tex]A=\pi r^2\\A=\pi (12.5)^2\\A=490.87[/tex]

So, area of two of these medium size pizzas is:

490.87 * 2 = 981.74

This should be the area of the large pizza. We can find the radius of that by substituting into formula. Shown below:

[tex]A=\pi r^2\\981.75=\pi r^2\\r=\sqrt{\frac{981.74}{\pi}} \\r=17.67[/tex]

Hence, the diameter would be around:

17.67 * 2 = 35.34 centimeters

Answer:

(6x-1) (2x+5)

Step-by-step explanation:

12x²+28x - 5

=12x² +30x -2x -5

= 6x(2x+5) -1(2x+5)

=(6x-1) (2x+5)

Answer:

2 cups of flour

Step-by-step explanation:

To make 5 batches of cookies, 10 cups of flour are required.

To make 1 batch of cookies:

10 cups ÷ 5 cups = 2 cups of flour.

To find out how many cups of flour are required for each batch of cookies, divide the total cups of flour (10 cups) by the number of batches (5 batches), which equals 2 cups of flour per batch.

To determine how many cups of flour are needed for each batch, we can set up a simple division equation where we divide the total amount of flour by the number of batches. The student is given that 10 cups of flour make 5 batches of cookies. Using this information, we calculate the amount of flour per batch as follows:

Amount of flour per batch = Total cups of flour ÷ Number of batches

Amount of flour per batch = 10 cups ÷ 5 batches

Thus, the amount of flour required for each batch is:

Amount of flour per batch = 2 cups

Answer:

[tex]x<\frac{17}{15}[/tex]

Step-by-step explanation:

We begin with the inequality: [tex]750x+150<1000[/tex]

We need to solve for x. This means that we need to subtract 150 from each side and then divide each side by 750. Then we need to simplify.

[tex]750x+150<1000\\\\750x<850\\\\x<\frac{850}{750} \\\\x<\frac{85}{75} \\\\x<\frac{17}{15}[/tex]

x<17/15

Step-by-step explanation:

Answer: 173.3

Step-by-step explanation:

40 hours at rate of 11.7

40*11.7=68

6 hours paid time and a half 11.7+11.7/2=17.55

6*17.55=105.3

Total pay per week:

68+105.3=173.3

Answer:

206

Step-by-step explanation:

197 + 3 + 6 = 206

To find Jack's starting weight before he started his diet, we need to add the pounds he lost in the first and the second week back to his current weight.
Jack's current weight is 197 pounds.
In the first week, he lost 3 pounds.
In the second week, he lost 6 pounds.
So the total weight lost over the two weeks is 3 pounds + 6 pounds = 9 pounds.
Now we just add these 9 pounds back to Jack's current weight to find his starting weight before the diet.
197 pounds (current weight) + 9 pounds (total weight lost) = 206 pounds.
Thus, Jack's starting weight was 206 pounds.

Answer:

1.3889

Step-by-step explanation:

42*25.5=1,071

1,071/771.12=1.3889

Answer:

It is a vertical translation of f(x) four units downward.

Step-by-step explanation:

We are given the original equation f(x) = |x| and the transformed function is g(x) = |x| - 4.

It is clear that the transformed function that g(x) = f(x) - 4.

So, the y-value in g(x) is reduced by 4 units from the y-value of f(x) i.e. the transformation is by 4 units down of function f(x).

Therefore, it is a vertical translation of f(x) four units downward. (Answer)

Answer:

The answers are- 4x-5: 5 less than the product of 4 and a number.

4(x-5): The product of 4 and the difference of a number and 5.

4(x+5): The product of 4 and the sum of a number and 5.

Step-by-step explanation:

I took the test on k12 and when I reviewed it, it said were the correct answers:)

Hope this helped!!

Hope you have a wonderful day!!:)

Answer:

Total Cost of Week = 81.20 Euros

Total Cost of Week (in dollars) = $102.31

Step-by-step explanation:

117 km per day

You drive 7 days

So,

Total miles driven = 117 * 7 = 819 km

Mileage is 42 miles per gallon. So how many gallons would it require to drive 819 km?

819/42 = 19.5 gallons

We know 1 gallons = 3.78 liters

So,

19.5 gallons would be:

19.5 * 3.78 = 73.82 liters

1.10 Euro PER LITER, so the total cost:

Total Cost of Week = 73.82 * 1.10 = 81.20 Euros

In dollars (1 euro = 1.26 dollars):

Total Cost of Week (in dollars) = 81.20 * 1.26 = $102.31

The cost on gas is approximately 7.2 euros

Data given;

If 1mi = 1.609km

And we cover 117km daily, let's convert this into miles

[tex]1mi=1.62km\\ x mi = 117km\\ x = 117/1.62\\ x = 72.2mi[/tex]

This shows that we cover a distance of 72.2 miles daily.

But the car consumes 1 gallon in 42 miles, let's calculate the gas required to cover 72.2 miles

[tex]42mi = 1g\\ 72.2mi =x\\ x = 72.2/42\\ x = 1.719[/tex]

The total gas consumed daily is approximately 1.72 gallons.

The cost of gas daily can be calculated from the data given but we have to convert the volume from gallon to liter

1L = 0.26 gallon

xL = 1.72 gallons

cross multiply this and solve for x

[tex]x = \frac{1*1.72}{0.26}\\ x = 6.6[/tex]

This shows that we consume 6.6L daily.

But we were given that the cost of 1 liter of gas is equal to 1.10 euros

1L = 1.10 euros

6.6L = x euros

[tex]x = \frac{1.1*6.6}{1}\\ x = 7.26[/tex]

The cost of gas daily is 7.26 euros or approximately 7.2 euros.

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Answer:

Yes, Juanita is correct.

Step-by-step explanation:

Given:

The function given is:

[tex]f(x)=x^2+64[/tex]

The roots of a function means the values of 'x' for which the function intersects or touches the x-axis. Therefore, the roots are nothing but the x-intercepts of the function.

In order to find the roots of the above function, we should equate it to 0.

So, [tex]f(x)=0[/tex]

[tex]x^2+64=0\\\\x^2=-64[/tex]

We know that, square of any number is always a positive quantity. But here, the square of 'x' is -64 which is a negative number. This is not possible.

So, there is no real solution to the given function. In other words, we can say that the function doesn't intersect the x-axis.

Therefore, Juanita is correct in her argument.

Answer:

here the coordinates given are incorrect but I have solved it anyway see the attachment for further information

Answer:

x = 3

Step-by-step explanation:

Two points are given.  The x-coordinates are one and the same.  This means that x does not change, and thus the line is a VERTICAL line:  x = 3.

Answer:

Step-by-step explanation:

Given:

TU ≅ WU

∠T ≅ ∠W

To Prove:

[tex]\overline{TS} \cong \overline{WV}[/tex]

Proof:

In  Δ TUS and Δ  WUV

STATEMENT                                                 REASON

1. TU ≅ WU                                     1. Given

2. ∠T ≅ ∠W                                    2. Given

3.∠TUS ≅ ∠WUV                           3. Vertically Opposite Angles are equal

4. ΔTUS  ≅ ΔWUV                         4. Angle-Side-Angle congruence test.

5. ∴ TS ≅  WV                                 5. Corresponding parts of congruent triangles.

[tex]\overline{TS} \cong \overline{WV}[/tex].......Proved

Answer:

Here, invert the multiple of x and draw the other side, and multiply in the following equation to obtain the value of x.

Step-by-step explanation:

[tex]3.75x = 3 \\ x = \frac{3}{3.75} \\ x = \frac{300}{375} \\ \\ x = \frac{4}{5} \\ \\ x = 0.8[/tex]

The solution of expression is,

⇒ x = 0.8

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ 3.75x = 3

Now, We can solve the expression as;

⇒ 3.75x = 3

Divide by 3.75;

⇒ 3.75x / 3.75 = 3 / 3.75

⇒ x = 0.8

Thus, The solution of expression is,

⇒ x = 0.8

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Answer:

  x < 1

Step-by-step explanation:

Divide both sides of the inequality by 2:

  (2x)/2 < (2)/2

  x < 1 . . . . . . . . . . simplify

The solution is x < 1.

Answer:

Step-by-step explanation:

36 + m = 54           subtract 36 from both sides

36 - 36 + m = 54 - 36

m = 54 - 36

m = 18

Answer:

m=18

Step-by-step explanation:

36+m=54

m=54-36

m=18