Simplify the expression 6 - 2x + 5+ 42. Hint: Your final expression shoul donly have
two terms.

Answer:

she will pay $11.20

Step-by-step explanation:

16.80÷60=0.28

0.28x40=11.20

hope this helps

Answer:

2.8

Step-by-step explanation:

i used a calculator

Answer:

y-intercept: (0,6)

slope = -2

equation: y = -2x + 6  

Step-by-step explanation:

1) First, identify the y-intercept. The y-intercept is the point at which the line intersects the y-axis. We can see that the line crosses the y-axis at (0,6), so that must be it.

2) Now, find the slope. Pick two points from the line. I chose (0,6) and (3,0). Then, substitute the two points' x and y values into the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]and solve:

[tex]m = \frac{0-6}{3-0}\\m = \frac{-6}{3}\\m = -2[/tex]

So, the slope is -2.

3) With the found information, use the slope-intercept formula [tex]y = mx + b[/tex] to write the line's equation. Substitute values for the [tex]m[/tex] and [tex]b[/tex].

[tex]m[/tex] represents the slope, so substitute -2 in its place. [tex]b[/tex] represents the y-intercept, so substitute 6 in its place. This gives the following equation:

[tex]y = -2x + 6[/tex]

Answer:

x= 30, y= 90

Step-by-step explanation:

Let the smaller number be x and the greater number be y.

Given that the sum of the 2 numbers is 120,

x +y= 120 -----(1)

The greater number is 3 times the smaller number:

y= 3x -----(2)

Substitute (2) into (1):

x +3x= 120

Simplify:

4x= 120

x= 120 ÷4 (÷4 on both sides)

x= 30

Substitute x= 30 into (2):

y= 3(30)

y= 90

Answer:

Let the first number be x

Then the second number will be 3 × x = 3x

According to the question

3x + x = 120

4x = 120

Taking 4 to RHS

x = 120/4

x = 30

Number are

x = 30

3x = 3(30) = 90

[tex] \\ [/tex]

Answer:

No

Step-by-step explanation:

Average amount of shampoo in a shampoo bottle: 16oz

16oz x 10 = 160oz = about 1.25 gallons

1.25 [tex]\neq[/tex] 3

Answer:

If the bottles are greater than 38.4 oz then the total volume would be greater than 3 gallons.

If the bottles are less than 38.4 oz the total volume would be less than 3 gallons.

Step-by-step explanation:

Needs more info, specifically what size shampoo bottles.

We can still figure out some info from what is given though...

let's convert to ounces since most shampoo bottles are ounces not gallons...

3 gallons=384 ounces

figure out what size bottle would exactly equal 384 oz when there are 10 bottles...

10x=384

x=38.4

If the bottles are greater than 38.4 oz then the total volume would be greater than 3 gallons.

If the bottles are less than 38.4 oz the total volume would be less than 3 gallons.

if it takes 5 people 125 days to compete the research then we know that 50 persons will do it in 25 days

so you need 50 people!!!

Answer:

F

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 5500 × 0.06 × 2.5 = 825

I = $ 825.00

The simple interest accumulated

on a principal of $ 5,500.00

at a rate of 6% per year

for 2.5 years is $ 825.00.

Answer: radius is is 12.

Step-by-step explanation:

Explanation: A circle with equation of the form x2+y2=r2 will have radius r=√144=12 .

Sorry, I'm not sure on the bottom part

We know,

The general equation for circle is –

[tex] { \boxed{\bf{\rm \red {(x \: - \: a)² \: + \: (y \: - \: b)² \: = \: r²}}}} [/tex]

[tex] \bf (a, \: b) \: = \: center \: coordinates [/tex]

[tex] \bf r \: = \: radius [/tex]

[tex] \bf a \: = \: 0 \: , \: b \: = \: 0 \: , \: r \: = \sqrt{144} \: = \: 12 [/tex]

[tex] \bf Center \: coordinates \: = \: (0, \: 0) [/tex] [Answer]

[tex] \bf Radius \: = \: 12 [/tex] [Answer]

__________________________________________________

NOTE – Refer the above attachment.

__________________________________________________

Divide the figure into 3 shapes: 2 rectangles and 1 square

Area of rectangle 1: L * W

L = 5, W = 2

2 * 5 = 10 m^2

Area of rectangle 2: L * W

L = 6 + 2 , W = 3

8 * 3 = 24 m^2

Area of square: s^2

2^2 = 4 m^2

Add all them together

10 + 24 + 4 = 38 m^2

Step-by-step explanation:

Area of the top Horizontal Rectangle =

Length x Width

=

[tex](5 + 3 + 2) \times 2 \\ = 10 \times 2 \\ = 20 {m}^{2} [/tex]

Area of the bottom vertical rectangle =

Length x Width

=

[tex]6 \times 3 \\ = 18 {m}^{2} [/tex]

Total Area = Sum of Area of 2 Rectangles

=

[tex]20 + 18 \\ = 38 {m}^{2} [/tex]

Answer:

a b e

Step-by-step explanation:

The cost of the lunch after a 12% of increment will be $9.52. Then the correct options are A, B, and E.

How much any item is given like it was an extent of 100. The proportion can be communicated as a fourth of 100. The expression % deciphers for 100%. It is represented by the person '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The cost (p) of a lunch unique is $8.50. The eatery builds the cost by 12%.

The total amount of lunch will be given as,

⇒ p + 12% of p

⇒ p + 0.12p

⇒ 1.12p

Put p = $8.50, then the cost is given as,

⇒ 1.12 x $8.50

⇒ $9.52

The expense of the lunch after a 12% of augmentation will be $9.52. Then, at that point, the right choices are A, B, and E.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

The complete questions are attached below.

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

Answer:

96

Step-by-step explanation:

64 x 1.4 = 96

V = 115999.674 cm3

Answer:

208

(4×8)+(4x8)+(12×12)

Answer:

p=7

Step-by-step explanation:

4p-1-p-20=0

3p-21=0

3p=21

p=7

Answer:

27/50 is the answer.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

After 30 minutes Emily and Jennifer charged an equal amount

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Let us find charges for emily and Jennifer

For Emily

The line passing through points (0, 6) and (6, 8)

Slope =2/6=1/3

y intercept is 6

6=b

Equation is y=1/3x+6

Now let us find for Jennifer (0, 4) and (5, 6)

m=2/5

y intercept is 4

Equation is y=2/5x+4

Now equation both equations

1/3x+6=2/5x+4

1/3x-2/5x=4-6

x(1/3-2/5)=-2

x(5-6)/15=-2

-x/15=-2

x=30

Hence, after 30 minutes Emily and Jennifer charged an equal amount

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ2

Answer:

1. BC=25

2. DC=30

Step-by-step explanation:

In a parallelogram, pairs of opposite sides are always equal. The side opposite of AD is BC, so if AD=25, BC=25. Likewise, if side AB=30, side DC=30. Of course, this is assuming the shape is a parallelogram. If it is not, there is no way of determining the side lengths.

lmk if im wrong, hope this helps :)

Answer:

Step-by-step explanation:

Answer:

x = √6 - 2 , -√6-2

Step-by-step explanation:

We have ,

=> y = x² + 4x - 2

=> x² + 4x - 2 = 0

=> x² + 2(2)(x) - 2 = 0

=> x² + 2(2)(x) +2² - 2² -2 = 0

=> x² + 2(2)(x) + 2² -4-2 = 0

=> ( x + 2 )² -6 = 0

=> ( x +2)² = 6

=> ( x + 2) = √6

=> x + 2 = ±√6

=> x = √6 - 2 , -√6-2

The solution for x in terms of y is x = √y - 2 + √6.

To solve the quadratic equation y = x² + 4x - 2 by completing the square, we need to follow a few steps:

Step 1: Move the constant term to the right side of the equation:

y + 2 = x² + 4x

Step 2: Take half of the coefficient of x and square it. Add the resulting value to both sides of the equation to create a perfect square trinomial on the left side:

y + 2 + (4/2)² = x² + 4x + (4/2)²

y + 2 + 4 = x² + 4x + 4

y + 6 = (x + 2)²

Step 3: Rewrite the equation in vertex form:

(y + 6) = (x + 2)²

The equation is now in the form y = (x - h)² + k, where (h, k) represents the vertex of the parabola.

Therefore, the vertex is (-2, -6), and the equation represents a parabola that opens upward.

To solve the equation (y + 6) = (x + 2)² for x, we need to isolate x. Here's how:

Start with the equation: (y + 6) = (x + 2)²

Subtract 6 from both sides of the equation: (y + 6) - 6 = (x + 2)² - 6

Simplify: y = (x + 2)² - 6

Take the square root of both sides of the equation: √y = √[(x + 2)² - 6]

Simplify: √y = x + 2 - √6

Subtract 2 from both sides of the equation: √y - 2 = x - √6

Rearrange the equation to solve for x: x = √y - 2 + √6

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ6

Answer:

7

Step-by-step explanation:

Area for a square is s² where 's' is a side (all sides have the same length)

Answer:

a) b ≈ 100

b) m ≈ 30

Step-by-step explanation:

Answer:

Devin has to run 3 more meters than Garrett to complete one lap.

Step-by-step explanation:

Since a running track design is composed of two half circles connected by two straight-line segments, and Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R), if r = 30 meters and R = 33 meters, to determine how much longer does Devin have to run to complete one lap, the following calculation must be performed:

33 (lane where Devin is jogging) - 30 (lane where Garrett is jogging) = X

33 - 30 = X

3 = X

Therefore, Devin must run 3 more meters than Garrett to complete one lap.

Answer:

2/5

Step-by-step explanation:

Answer:

the given value x=13 is not a solution of the inequality

Step-by-step explanation:

we first need to solve this inequality (can treat the inequality like a normal equation to solve it)

5x-17 > 62

5x > 79

x>(79/5)

keep in mind that (79/5)=15.8

so x needs to be bigger than 15.8 in order to satisfy this inequality.

since 13<15.8 when x=13 it does not satisfy the inequality

therefore the given value x=13 is not a solution of the inequality

Basically, you need to convert the text from the four entries into (time, temperature) data points.

Entry 1: It says it starts at 8 AM and the temperature was "quite warm."

(8 AM, "quite warm")

Entry 2: It says the time is "about midmorining" (so between 8 AM and 12 PM - say 10 AM), and the temperature dropped to 63F. Since it says the temperature dropped to this temperature, we can say that for entry 1, the temperature was higher than 63 F - say, 73 F.

(8 AM, 73 F) - revised first entry

(10 AM, 63 F)

There is a storm for about 1 hour.

Entry 3: After the storm, there was a "warm breeze." Since the storm was about 1 hour, we could say the time was 11 AM. While a temeprature isn't given, according to the North Carolina Climate Office (climate.ncsu.edu/edu/Thunderstorm), most storms result in cooling of 10-15 degrees. Let's put it at about 10 degrees.

(11 AM, ~53 F)

Entry 4: It says the temeprature steadily warmed, and at 4 PM, the temperature 89F.

(4 PM, 89 F)

Now we have four data points that fit the text from the given entries:

(8 AM, 73 F)

(10 AM, 63 F)

(11 AM, 53 F)

(4 PM, 89 F)

With these points, we can make a table and graph (see attached).

Answer:C

Step-by-step explanation:332 square in

Answer:

The answer is C, 332 in.2.

Step-by-step explanation:

Just did the unit test on edge. Hope this was able to help, have a good day <3 :)

Answer:

25 percentage

Step-by-step explanation:

hope it helps you

Answer:

The distance between those points is 13.

Step-by-step explanation:

1.    (x2-x1) = (-2 - -7) = 5

2.   (y2-y1) = (-7 - 5) = -12

3.   (5)2 + (-12)2 = 25 + 144 = 169

4.   √169 = 13

5.   13