Helppppp please!!! Immediately
Barbara, Mark, and Carlos participated in the third heat of “The Big Race.” Barbara thought she could win with a 3 meter head start even though she only pedaled 3 meters every 2 seconds. Mark began at the starting line and finished the 20 meter race in 5 seconds. Meanwhile, Carlos rode his tricycle so that his distance (y) from the starting line in meters could be represented by the equation y= 5/2x+1 where x represents time in seconds.
1)What is the dependent variable?
2)What is the independent variable?
3)Write an equation that discribes Barbara's motion. HINT: Write the equation in y=mx+by=mx+b form, where mm is the rate of change and bb is the starting point.
4)Write an equation that discribes Mark's motion. HINT: Write the equation in y=mx+by=mx+b form, where mm is the rate of change and bb is the starting point.
5)How fast did Carlos pedal? Write your answer as a unit rate
6)When did Carlos pass Barbara?

Answer:

4850 boxes

Step-by-step explanation:

97 out of 100 boxes have no defects, can be translated into 97% of boxes have no defects. Using this number, we can find 97% of 5,000 to make an estimate of how many boxes will not have defects
.97(5,000)=4850

Answer: (-10, 20) and (6.5, 14)

Step-by-step explanation:

When x is -3 the equation would look as so:

y=6(-3)+8

y=-18+8

Then you would simplify: -18+8=-10

So: y=-10 when x is -3

Next, when x is 2 the equation would look as so:

y=6(2)+8

y=12+8

Simplify: 12+8=20

So: y is 20 when x is 2

For the equation y=1.5x+11 and x is -3 the equation will look like:

y=1.5(-3)+11

y=-4.5+11

Simplify: -4.5+11= 6.5

So y is 6.5 when x is -3

Next when x is 2 the equation would look like:

y=1.5(2)+11

y=3+11

Simplify: 3+11=14

So y is 14 when x is 2

Answer:

B. 5.5 batches

Step-by-step explanation:

22 oz / 4 = 5.5

Answer:

x = 13, GJ = 5

Step-by-step explanation:

x - 8 = 5

x = 13

GJ = 5

The value of h(7)+g(7) is 25.

What is a value of a function?

The value of a function is a number which can be obtain by substituting a value in the function.

We are given

[tex]h(a)=a^{2}[/tex]    and    [tex]g(a)=-3a-3[/tex]

To find h(7) substitute a=7 in the equation we get,

[tex]h(7)=7^{2}\\h(7)=49[/tex]

Similarly to find g(7) substitute a=7 in the equation

[tex]g(7)=-3(7)-3\\g(7)=-21-3\\g(7)=-24[/tex]

Now add both the values to find to find f(7)+g(7)

[tex]f(7)+g(7)=49-24\\f(7)+g(7)=25[/tex]

Hence the value of f(7)+g(7) is 25.

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Answer:

I believe that it's the letter "H"

Step-by-step explanation:

Number of GE dishwashers sell by K corporation and Wallace company is equal to 240 and 60 respectively.

As given in the question,

Let x be the number of dishwasher sell by K Corporation

And y be the number of dishwasher sell by Wallace Company

K Corporation sells 4 times GE dishwashers as compare to Wallace Company.

x = 4y ___(1)

Difference between sells of K Corporation and Wallace Company

x - y = 180  __(2)

Substitute the value of (1) in (2)

4y - y =180

⇒ 3y = 180

⇒ y = 60

Hence, x = 4 ×60

              = 240

Therefore, number of GE dishwashers sell by K corporation and Wallace company is equal to 240 and 60 respectively.

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it would help if we were given the equations to choose from ^^'

Answer:

y = 3x - 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 )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 8 ) and (x₂, y₂ ) = (3, 4 )

m = [tex]\frac{4-(-8)}{3-(-1)}[/tex] = [tex]\frac{4+8}{3+1}[/tex] = [tex]\frac{12}{4}[/tex] = 3 , then

y = 3x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (3, 4 ) , then

4 = 9 + c ⇒ c = 4 - 9 = - 5

y = 3x - 5 ← equation containing the 2 points

Answer:

I think the answer is (-6,2)

The divisor is 1000 and the divident is 763.

In division, The number that is being divided is termed as the dividend, and the number that it is being divided by is called the divisor and the outcome of the division is the quotient, and the number which is left is called as remainder.

As per the question, 76.3 ÷ 100

The divident is equal to 76.3 and the divisor is equal to 100

But as the divident present is a decimal number, the decimal point can be removed by multiplying it with 10 and also multiplying the divisor with 10.

Now, the resulting division is

763 ÷ 1000

Here the divisor is 1000 and the divident is 763.

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The value of the variable 'x' by using simplification method is:  x > -1

What is simplification?

In mathematics, the simplification method is used to simplify the complicated or inequality expression. Basically, it convert the complicated expression to simpler one to make the easy calculation.

According to the question, the given inequality equations are as follows:

5r — 29 >_34  and 2x +31 < 29

For the variable 'x', the given equation can be simplified by using simplification method, we get:

2x +31 < 29 ⇒ 2x < 29 - 31 ⇒ 2x < -2 ⇒ x > -1

Hence, the value of the variable 'x' by using simplification method is:  x > -1

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Answer: 6 points

Step-by-step explanation:

add 24 plus 8

you should get the total of 192

after that

divide 30 divided by 8

you should get the answer of 6

now you need to add 24 plus 6 and you will get the sum of 30

Answer:

3

Step-by-step explanation:

Plug -1 into the function f(x):

[tex]f(x)=-2x+5 \\f(-1)= (2)(-1) + 5[/tex]

And solve:

[tex]f(-1)=-2+5 \\f(-1) = 3[/tex]

So, f(-1) is 3.

The solutions are all the points inside the shaded region:

(1, 0.5) , (2,-1) and (2.5, -2)

Answer:

56

Step-by-step explanation:

10π feet of the border material will be needed to go around the flower bed

Circumference of the circle: the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure

it is given in the question that a gardener is creating a circular flower bed with a diameter of 10 feet in his yard.

which means diameter, d=10 feet

A flexible rubber border material will be used to go around the flower bed

we need to find the circumference of the circle in order to find how many feet of the border material will be needed

Circumference of the circle= 2πr (if radius is given)

                                            = πd (if diameter is given)

                                              (but we know diameter=2radius)

substitute the given values in the circumference formula,

which is equal to = π(10)

                            = 10π feet

10π feet of the border material will be needed to go around the flower bed

Option c is correct

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Answer:

From 1 to100 11 times 0 will be used

Answer:

11

Step-by-step explanation:

this is the answer to your question

The value of the trigonometry ratio cos π/6 is √3/2 or approximately 0.87 .

Triangle side angle and length relationships are investigated in the area of mathematics known as trigonometry.

From the properties of trigonometry we know that :

π = 180 °

Therefore π / 6 = 30°

Therefore the value of cos π / 6

= cos 30°

= √3/2

= 0.866...

≈ 0.87

Hence the value of the ratio is 0.87 approximately.

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Answer:

120 in 2 days

Step-by-step explanation:

Juan read 300 pages in 5 days. which reading rate is equivalent?

Juan reads 300/5 = 60 pages a day.

A. 150 in 3 days 150/3 = 50 pages a day

B. 120 in 2 days 120/2 = 60 pages a day

C. 105 in 1 day 105/1 = 105 pages a day

D. 100 in 3 days 100/3 = 33.33 pages a day

Answer:

12

Step-by-step explanation:

Given:

3 bags of each color band

4 kits

To "divide equally" we need the greatest number that divides the two numbers 3 and 4 equally.

Find the greatest common factor of 3 and 4:

factors of 3 = 1,3,6,9,12,15,18,21,24....

factors of 4 = 1,2,4,8,12,16,20,24...

How many bands are in each kit?​

12 or any other number that is a factor of both 3 and 4 such as 24,..etc.

Answer:

D. 7/9

Step-by-step explanation:

Whole numbers are all natural numbers, or positive numbers that are not fractions (including 0). A and C are whole numbers because they are positive and not fractions.

Integers are all whole numbers, but negative numbers are included as well. B is an integer because it is the negative version of a whole number.

D is a fraction, therefore being neither.

Solution of the linear expression (-1.41x - 0.01) + (5.62x + 2.73) after adding them is equal to 4.21x + 2.72.

As given in the question,

Given linear expression :

(-1.41x - 0.01) + ( 5.62x + 2.73 )

After adding the given linear expression we have,

(-1.41x - 0.01) + ( 5.62x + 2.73)

Collect like terms together of the given linear expression we get,

( 5.62x - 1.41x ) + ( 2.73 -0.01 )

= 4.21x + 2.72

Therefore, solution of the linear expression (-1.41x - 0.01) + (5.62x + 2.73) after adding them is equal to 4.21x + 2.72.

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Answer:

Step-by-step explanation:is 10

Using linear functions, it is found that they will have the same amount after 8 hours.

A linear function, in slope-intercept format, is given by:

y = mx + b

In which the coefficients are described as follows:

In the context of this problem, for their earning functions, we have that:

Hence the functions are given as follows:

The number of hours after which they will have the same amount is found solving the following equation for x.

K(x) = J(x)

6 + 9x = 18 + 7.5x.

1.5x = 12

x = 12/1.5

x = 8 hours.

This problem is incomplete, hence we suppose that it asks after how many hours they will have the same amount.

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The value of A from the equation is given by A = V ÷ ( 1.01 t )

The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.

The given equation is of the form V = A × 1.01t

V = A × 1.01t

or, A = V ÷ ( 1.01 t )

Therefore the value of A from the equation is V ÷ ( 1.01 t ) .

The value of A from the equation is V ÷ ( 1.01 t ) .

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The situation represent the relation as I = 170+8.50t, where I= income is the dependent variable and t is working hour, is the independent variable.

What is dependent variable and independent variable?

The dependent variable is the variable in a function or experiment whose value depends on the independent variable. The independent variable is the known variable that is manipulated in order to determine its effect (if any) on the dependent variable.

The situation describes the function of income from working hours.

I = 170+8.50t.

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