The speed of a moving object equals
distance divided by time. If a bicycle
rider averages 7.5 mph for 6 h, how
far did he ride?

The equation which is equivalent to √x + 11 = 15 is: C. √x = 15 - 11.

Given the following equation:

To evaluate the given mathematical equation:

In this exercise, you're required to evaluate the given mathematical equation. Thus, we would make x the subject of formula in the equation and then simplify as follows:

√x = 15 - 11 (equivalent)

√x = 4

Taking the square of both sides, we have:

x = 4²

x = 16.

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Answer:

Step-by-step explanation:

an equation is : Use the point-slope formula.

y - y_1 = m(x - x_1)    ;  m : the slope   when : x_1 = -3   and  y_1  = 7

- 2 ×m = - 1  because this line is perpendicular to the line y= -2x-5 when the slope is  -2

so : m= 1/2

an equation is : y - 7 =(1/2)(x+3)  

Answer:

The desired equation is

y = (1/2)x + 17/2

Step-by-step explanation:

The slope of the perpendicular line is the negative reciprocal of -2:  m = 1/2.

Start with y = mx + b.

Substituting 7 for y, 1/2 for m and -3 for x, we get:

                7 = (1/2)(-3) + b.  Then 7 = -3/2 + b, so that b = 17/2.

The desired equation is

y = (1/2)x + 17/2

Answer:

26 166  

Step-by-step explanation:

                        Blue =                   87 491

                         Red = 36 262

                     Green = 25 063                  

        -(Red + green) =                 - 61 325

Blue - (red + green) =                   26 166

The company makes 26 166 more blue crayons than red and green combines.

Answer:

They are mirrored

Step-by-step explanation:

When you cut it in half horizontally you can see both sides are mirrored so the  lines have the same length

Answer:

x = y + b - a

Step-by-step explanation:

Given

y = x + a - b ( add b to both sides )

y + b = x + a ( isolate x by subtracting a from both sides )

y + b - a = x

Answer:

b = - [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Given

5(b + 6) = 18 ← distribute left side

5b + 30 = 18 ( subtract 30 from both sides )

5b = - 12 ( divide both sides by 5 )

b = - [tex]\frac{12}{5}[/tex] = - 2.4

Good evening

_______

Answer:

b= -12/5

_______________

Step-by-step explanation:

5(b+6)=18

5b+30=18

5b=18-30

5b=-12

b= -12/5.

:)

Answer:

7√2 i

Step-by-step explanation:

√(-98)

=√{(-1) .98}

=√(-1 . 2 . 7²)

=√-1 .√2 . √7²

= i . √2 . 7         [∵√-1 = i ]

=7√2 i

Answer:

[tex]\large\boxed{\sqrt{-98}=7\sqrt2\ i}[/tex]

Step-by-step explanation:

[tex]\sqrt{-98}=\sqrt{(-1)(49)(2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{-1}\cdot\sqrt{49}\cdot\sqrt2\qquad\text{use}\ \sqrt{-1}=i\ -\text{an imaginary unit}\\\\=i\cdot7\cdot\sqrt2\qquad\sqrt{49}=7\ \text{because}\ 7^2=49\\\\=7\sqrt2\ i[/tex]

Answer:

B

Step-by-step explanation:

A function has ONE x value and ONE y value.

The inverse of 1/4 is 4.

Choice C

Answer:

l = (S - 2wh)/(2w + 2h)

Step-by-step explanation:

S = 2lw + 2wh + 2hl

S - 2wh = 2lw + 2hl

S - 2wh = l (2w + 2h)

(S - 2wh)/(2w + 2h) = l

The equation S = 2lw + 2wh + 2lh the value of l is given by l = S / (2w + 2h + 2wh)

To solve for l in the equation S = 2lw + 2wh + 2lh, we'll isolate l on one side of the equation. Here are the steps to do that:

Step 1: Start with the given equation:

S = 2lw + 2wh + 2lh

Step 2: Factor out l from the terms that contain it:

S = l( 2w + 2h + 2wh )

Step 3: Divide both sides of the equation by (2w + 2h + 2wh) to solve for l:

S / ( 2w + 2h + 2wh ) = l

So, the value of l is given by:

l = S / ( 2w + 2h + 2wh )

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Answer:

The possible values of the perimeter of the rectangle is between 18 and

18.4 cm ⇒ [18 < perimeter of rectangle < 18.4] cm

Step-by-step explanation:

* Lets explain how to solve the problem

- The perimeter of any quadrilateral is the sum of the length of its

  four sides

- The rectangle is a quadrilateral with each two opposite sides are

  equal in lengths, then its perimeter = 2l + 2w, where l, w are its

  length and width

∵ The the length of the rectangle is a

∵ 5.4 < a < 5.5 cm

∵ The perimeter of the rectangle = 2a + 2b

- Lets multiply the inequality by 2

∴ 5.4 × 2 < a × 2 < 5.5 × 2

∴ 10.8 < 2a < 11 ⇒ (1)

∵ The width of the rectangle is b

∵ 3.6 < b < 3.7 cm

- Lets multiply the inequality by 2

∴ 3.6 × 2 < b × 2 < 3.7 × 2

∴ 7.2 < 2b < 7.4 ⇒ (2)

- Add inequalities (1) and (2)

∵     10.8 < 2a < 11

  +   7.2 < 2b < 7.4

∴  18 < 2a + 2b < 18.4

∵ 2a + 2b represents the perimeter of the rectangle

∴ The possible values of the perimeter of the rectangle is between

  18 and 18.4 cm ⇒ [18 < perimeter of rectangle < 18.4] cm

Answer:

2 and a half trips?

Step-by-step explanation:

i did 3.75/1.5 and got 2 .5 soooo i think thats it.

Answer:

Three  

Step-by-step explanation:

[tex]\begin{array}{rcl}\\\text{Number of tons} & = & \text{Number of trips} \times \dfrac{\text{number of tons}}{\text{1 trip}}\\\text{3.75 t} & = & \text{Number of trips}\times \dfrac{\text{1.5 t}}{\text{1 trip}}\\\dfrac{3.75}{1.5} & = & \text{Number of trips}\\\text{Number of trips} & = & 2.5\\\end{array}[/tex]

Jason can't make 2.5 trips.

He can make two trips carrying a full load and another trip carrying a half-load.

That makes three trips.

Answer:

2⅖

Step-by-step explanation:

Set this up as a proportion:

⅘ ? [parts of the necklace]

__ = __

⅓ 1 [hours]

Divide four-fifths by one-third to get 2⅖.

I am joyous to assist you anytime.

** ⅓ hour = 20 minutes

Move n terms on one side and other terms on the other side. Note that by moving we are essentially subtracting and adding to both sides so the prefix of a term changes from - to + or from + to -.

[tex]

-4n-5=-3n+4 \\

-4n+3n=4+5 \\

-n=9 \\

n=-9

[/tex]

Hope this helps.

Final answer:

An expression for a number that's twice another number represented by n is written as 2n.

Explanation:

If n represents a number, then the expression for a number that's twice n can be written as 2n. This stems from the definition that multiplying a number by 2 effectively doubles it. To better understand this concept, consider the next statement, N=N*2, which tells us that the new value of N is twice the original value. So, if we substitute N with n, we can express a number that's twice n as 2n.

Final answer:

To find the unit price of markers in a set, divide the total cost by the number of markers to find that each marker costs $0.30 when 20 are purchased for $6.

Explanation:

Lainey's purchase of a set of 20 markers for $6 can be used to illustrate a simple mathematical concept known as unit price, which is the cost per individual item when items are sold in a set or batch. To calculate the unit price, you divide the total cost by the number of items in the set. Here's how you can do this calculation:

Determine the total cost of the set of markers, which is $6.

Count the number of markers in the set, which is 20.

Divide the total cost by the number of markers to find the unit price: $6 ÷ 20 = $0.30 per marker.

Therefore, the cost of each individual marker from the set is $0.30. Starting small, such as with markers, pencils, sharpeners, and erasers, and gradually adding other items like construction paper or magnets, are good practices in both purchasing supplies and understanding incremental costs in financial literacy.

Answer:

$1632

Step-by-step explanation:

Hourly pay for Diego = $10.20

Weekly hours = 40 Hours

Basic earning = 10.20 × 40 = $408

Overtime pay = 15 × Hourly rate = 15 × 10.20 = $153

Total overtime = 8 hours

Overtime earning = 153 × 8 = 1224

Total earning for the week = 408 + 1224 = $1632

Answer:

60$

Step-by-step explanation:

if 4$ is per year 20 ÷4 is 5, 5 years have passed and if 10 uears after the champion ship it will be 60 because 4 × 10 is 40 plus the 5 years since it was 20 therefore 20+40 =60

The explicit formula for the ticket price after n years is T(n) = 20 + 4n. Plugging in 10 for n, we find that the price 10 years after the championship will be $60.

The question asks us to create an explicit formula to model the increasing price of football tickets after the local team won a championship. If tickets were originally $20 and the price increases by $4 each year, we can use the formula T(n) = 20 + 4n to represent the price of football tickets after n years.

For 10 years after the championship year, we plug 10 into our equation for n: T(10) = 20 + (4 \times 10) = 20 + 40 = $60. Thus, the ticket price will be $60, 10 years after the championship year.

Answer:

Discount = $10

Sales Price = $30

Step-by-step explanation:

Discount

= 25% of marked price

= 25% x $40

= (25/100) x 40

= $10  

Sales price = Marked price - Discount = $40 - $10 = $30

Answer:

-6

Step-by-step explanation:

-2 * 5 = -10

-10 + 4 = -6

Answer is -6

-2(5)+4

You multiply '-2' to '(5)' which equals to '-10' then you add '4' and the correct answer is '-14'

Hope this helped, my dude

Answer:

option D is correct

=3.58X 10^1

Answer:

The decimal number is 0.964

Step-by-step explanation:

we have

[tex]9(\frac{1}{10})+ 6(\frac{1}{100})+4(\frac{1}{1,000})[/tex]

step 1

Multiply each fraction by the whole number

[tex](\frac{9}{10})+ (\frac{6}{100})+(\frac{4}{1,000})[/tex]

step 2

Convert each fraction in a decimal number

Remember

Move the decimal point to the left as many places as there are zeros in the factor.

Move the decimal point one step to the left (10 has one zero).

Move the decimal point two steps to the left (100 has two zeros)

Move the decimal point three steps to the left (1000 has three zeros)

[tex]0.9+0.06+0.004[/tex]

step 3

Adds the number

[tex]0.964[/tex]

Answer:

h

Step-by-step explanation:

80-35=45

4days x10=40

leaving 5 dollars left so u need another week to save 5 dollars more

in total of 5 weeks

The answer is She has to work at least for 4.5 to be able to buy the bicycle i.e x≥4.5

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: price of the bicycle is $80 and she has $35 in hand

If she earns $10 in a week then let x weeks be the minimum number of weeks she has to work then we have

x= 45/10

  =4.5 weeks

Hence, She has to work at least for 4.5 to be able to buy the bicycle

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reduce the index of the radical and exponent with 3, rhen you get your answer, 6

Answer:

(2,3)

Step-by-step explanation:

Rotation through 90 clockwise gives the expression

( x , y )___ ( y ,- x )

so when you put the points -3 ,2 in the relation , it becomes

( -3 , 2 ) ___ ( 2, - -3 )

= ( x, y ) __ ( 2, 3 ). meaning when you rotate -3,2 through 90 clockwise you will get the image ( 2 ,3 )

Answer:

B. 108 calories

Step-by-step explanation:

The mean number of a data set is

[tex]\text{Mean}=\dfrac{\text{The sum of all calories in products}}{\text{The number of products}}[/tex]

Corn chips: 230 calories

Popcorn: 25 calories

Potato chips: 115 calories

Pretzels: 62 calories

Thus,

The sum of all calories [tex]=230+25+115+62=432[/tex]

The number of productrs = 4

The mean number of calories [tex]=\dfrac{432}{4}=108[/tex]

Answer:

<1 ,1>..., square root of two

Step-by-step explanation:

Component of vector PQ...,

; Q - P...where you subtract the x coordinate of Q by the x coordinate of P and the same for the y coordinate

; <(6-5),(9-8)>

; < 1,1 >

And the magnitude of PQ...,

;square root of( 1^2 + 1^2 )

;square root of 2

Final answer:

The component form of vector PQ is <1, 1>, and the magnitude is the square root of 2, thus the correct answer is <1, 1>, square root of 2.

Explanation:

To find the component form and magnitude of vector PQ, we calculate the difference in the x-coordinates and the y-coordinates of points P and Q. The component form of a vector is obtained by subtracting the coordinates of the initial point from the coordinates of the terminal point. In this case, the initial point is P(5, 8) and the terminal point is Q(6, 9).

The component form of vector PQ is therefore:

Vector PQ = (Qx - Px, Qy - Py)

Vector PQ = (6 - 5, 9 - 8)

Vector PQ = <1, 1>

Next, to find the magnitude of vector PQ, we use the Pythagorean theorem, which is the square root of the sum of the squares of the components:

Magnitude of PQ = √(1^2 + 1^2)

Magnitude of PQ = √(2)

Magnitude of PQ = √2

Therefore, the correct answer is <1, 1>, √2.

To fill the tank, multiply 2/5 by the tank's capacity of 20.25 gallons.

To find the number of gallons it will take to fill the tank, we need to determine how much more fuel is needed to make the tank full. We can do this by subtracting the current amount of fuel in the tank from its full capacity. The tank is 3/5 full, so the remaining amount of fuel needed to fill the tank is 2/5 of its capacity. Since the capacity of the tank is given as 20.25 gallons, we can calculate the number of gallons needed to fill the tank by multiplying 2/5 by 20.25:

2/5 * 20.25 = 8.1 gallons

Therefore, it will take 8.1 gallons to fill the tank.

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Answer:

Step-by-step explanation:

1≥−y4    

multiply by : -1         -1 ≤ 4y   means : 4y ≥  -1

divid by 4 : y ≥  -1/4    answer : d