Cooper drove his car for 2 hours at a constant speed of 60 miles per hour and then for another 30 minutes at a constant speed of 40 miles per hour. How far did Cooper drive?

100 miles
170 miles
180 miles
160 miles

Answer:

The percentage of the students who have grade point averages that are no more than 1.82 is 2.5%

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the distribution are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.

Given that:

Mean (μ) = 2.62, Standard deviation (σ) = 0.4

68% are within one standard deviation = μ ± σ = 2.62 ± 0.4 = (2.22, 3.02)

95% are within two standard deviations = μ ± 2σ = 2.62 ± 2(0.4) = (1.82, 3.42)

The percentage of the students have grade point averages that are no more than 1.82 is 100% - [95% + (100% - 95%)/2] = 100% - 97.5% = 2.5%

The percent error of the measurement, to the nearest tenth of a percent is 3.9%

Given:

Length measured = 12.2 inches

Actual length = 12.7 inches

Error = Actual length - Length measured

= 12.7 - 12.2

= 0.5

Percentage error = error / actual value × 100

= 0.5/12.7 × 100

= 0.039370078740157 × 100

= 3.937%

Approximately,

Percentage error = 3.9%

Therefore, the percent error of the measurement, to the nearest tenth of a percent is 3.9%

Learn more about percentage error:

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Answer:

for number 6                       2x

for number 7                         8

Step-by-step explanation:

Answer:

6. 8x+3x-9x= 2x

7. 2x-3=13

or, 2x=13+3

or, 2x=16

or, x=16/2

Therefore, x=8

Answer:

x and y are both equal to 57.5°

Step-by-step explanation:

180° - 65° = 115°

115 ÷ 2 = 57.5

Answer:

y=-3/2x

Step-by-step explanation:

y=mx + b

First find slope, here we take 2 points

(0,0) and (2, -3)

m = (-3-0)/(2-0)

m = -3/2

Find B which is 0 since it hits (0,0) which is a y intercept when x= 0

Therefore equation is:

y=-3/2 x

Answer:

x=15

Step-by-step explanation:

Well we start with the fundamentals of a triangle we know that all the angles of a triangle add up to 180*, so you can start by adding 55* and 65* and end up with 120* then you can add 30* and get 150* then you can take the total of 150* and subtract it from 180* to get 30 now you take that 30 and divide it by 2 and get 15* for the final angle of the triangle.

Hi!

I can help you, no worries!

Your answer is y = -4/5x - 3

To solve this is much easier than you think. To "solve for y" we just have to get y on one side of the equal sign all by itself. We can see that it's "1 + y" on the left instead of just the y.

To get y by itself, we just subtract "1" from both sides.

1 + y = -4/5x - 2

-1                     -1

     y = -4/5x - 3

If you don't know why we have to subtract from both sides, think of it like this (it's how I like to think of it).

Each side of the equal sign is a twin. They are equal to eachother. If you change something about one twin, such as changing their hair color (or adding a number to one side of the equal sign), you have to do it to both in order for them to be the same. Right?

Hope this helps! Have a great day! :D

Answer:

12+16 = 2(10+4)

Step-by-step explanation:

12+16 = 2(10+4)

Step-by-step explanation:

3.

the net of a cylinder looks like a rectangle with two circles attached at opposite ends. we also define a base radius for the cylinder as the radius of the base, and the height of the cylinder as the distance between the bases.

in other words, imagine you cut open a soda can (and leave the top and bottom just a little bit attached - don't cut them off completely).

the mantle turns into a rectangle. and the base and top are two circles. the length of the rectangle is the circumference of one of the circles (2×pi×r), and the width of the rectangle is the height of the original can.

4.

remember what you did when calculating the size of the area of a square ? or a rectangle ?

in each case it is in principle length×width.

and we expressed an area not in units of e.g. cm but in cm², because we simply said how many little squares of 1 unit side length fit into the area.

now, for the volume, we apply the same principle and simply add a third dimension.

we express a volume not in cm² squares but in cm³ cubes, saying how many such little cubes fit inside.

a cube with 5 cm side length has therefore a volume of

5×5×5 = 5³ = 125 cm³ (= 125 little cubes of 1cm side length).

5.

this is simply a box, a 3-dimensional rectangle.

similar to 4. fit the volume we just multiply now so 3 dimensions :

6×7×9 = 378 cm³ (= 378 little cubes of 1cm side length).

Answer:

y=-1

Step-by-step explanation:

yeah-ya...... right?

[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]

[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]

[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]

[tex]\\ \sf\longmapsto f(-2)=-6[/tex]

.#2

[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]

[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]

[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]

.Now

[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]

[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]

[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]

[tex]\\ \sf\longmapsto 2h[/tex]

Answer:

[tex]\sqrt{85}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 } }[/tex]

with (x₁, y₁ ) = (- 5, 8 ) and (x₂, y₂ ) = (4, 6 )

d = [tex]\sqrt{4-(-5))^2+(6-8)^2}[/tex]

  = [tex]\sqrt{(4+5)^2+(-2)^2}[/tex]

  = [tex]\sqrt{9^2+4}[/tex]

  = [tex]\sqrt{81+4}[/tex]

  = [tex]\sqrt{85}[/tex]

Julian factored the expression of 2x^4 + 2x³ - x²- x, the step 2 ( x (2x² (x + 1)) - 1(x − 1)) is wrong statement.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have been given an expression as;

2[tex]x^{4}[/tex] + 2x³ - x²- x

Step 1;

x(2x³ + 2x²- x − 1)

Step 2;

x (2x² (x + 1)) - 1(x − 1)

Step 3;

x²(2x²-1) (x + 1)(x - 1)

Hence, Julian incorrectly factored -1 from the second group of terms.

we can write the correct factored as;

x (2x²- 1))(x + 1)

Therefore, Julian factored the expression of 2[tex]x^{4}[/tex] + 2x³ - x²- x, the step 2 ( x (2x² (x + 1)) - 1(x − 1)) is wrong statement.

To know more about an expression follow;

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#SPJ5

Answer:

6X+5

Step-by-step explanation:

Answer:

6x+5

Step-by-step explanation:

6x+1+7-3

6x+(1+7)-3

6x+8-3

6x+5

Answer:

If friction did not exist, it would be hard for us to slow down in running, or putting breaks on a car, and more!

If friction did not exist, your car will slide down the road even if you try your best to put the brakes on a car. Friction is a very important force to slow down things that are moving very fast

Step-by-step explanation:

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

85°+8x-1+11x+1=180°(being sum of all angle in a

triangle)

or,85°-1+1+8x+11x=180°

or,84+1+19x=180°

or,85+19x=180°

or,19x=180-85

or,19x=95

or,x=95/19

x=5

Answer: 5

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5

Answer:

I believe 1.) is x=y-4/2 and 2.) x=y-4/2 as well

Step-by-step explanation:

1.)

y=2x+4

-subtract 4 on both sides-

y-4=2x

-divide 2 on both sides-

x=y-4/2

2.)

y=2(x+2)

-distribute the 2-

y=2x+2

-subtract 2 on both sides-

y-2=2x

-divide 2 on both sides-

x=y-2/4

I dont know exactly if this is correct, but i hope it helps! :)

Answer: Lightning struck 22.5 times in 6 minutes, of the second storm.

First Storm

7/4= 1.75 strikes per minute

Second Storm

1.75+2=3.75

3.75*6=22.5 strikes in the second storm

Answer

so uh

Step-by-step explanation:

thats how to solve

Thats how i do it ....i dont know about others

Answer:

32 degrees

Step-by-step explanation:

lets assume a point K on top of M and giving the the measure of <KMN  = 90 degree.

let LMP be x

KML = 90 - 79 = 11

x =  90-11-47 = 32

thus, <LMP is 32 degrees

no

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

Answer:

E

Step-by-step explanation:

Hope this helped

[tex]\\ \sf\Rrightarrow LSA=2(h)(l+b)[/tex]

[tex]\\ \sf\Rrightarrow LSA=2(18)(6+4)[/tex]

[tex]\\ \sf\Rrightarrow LSA=36(10)[/tex]

[tex]\\ \sf\Rrightarrow LSA=360in^2[/tex]

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

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

The possible next steps are:

1. Expand the equation as follows

[tex]\mathbf{x^3+2x^2-16x-32 = 0}[/tex]

2. Express x^2 -16 as a difference of two squares as follows

[tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

Read more about equations at:

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Answer:

< 1 is 85

X= 50

Step-by-step explanation:

ok the first question has 2 angles given 60 and 65

consider this one shows a 90 degree angle and the other does not. so  60 plus 90 equals 150 degrees

the u must say 65 plus x (x being angle 1) must also equal 150

subtract 65 from 150 and you get 85

now the second problem lets use the

Exterior Angle Theorem

The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.

using this we know the 40 degree angle and 2x + 20 equals 3x plus 10

so we subtract 10 degrees from both sides and get

2x plus 10 plus 40 equals 3x now this means x equals 10 plus 40 which is 50

Answer:

0.3

Step-by-step explanation:

total:16.3

20*0.8=16 (amount she will use)

16.3-16=0.3

Answer:

the answer is d

Step-by-step explanation:

perimeter of the rectangle = 2 ( l + b )

4x + 10 = 40

4x = 40 10 ( transpose 10 to RHS )

x = 30/4 = 7.5 ( divide both sides by 4 )

ATQ

[tex]\\ \sf\longmapsto 2(x+x+5)=40[/tex]

[tex]\\ \sf\longmapsto 2(2x+5)=40[/tex]

[tex]\\ \sf\longmapsto 2x+5=20[/tex]

[tex]\\ \sf\longmapsto 2x=15[/tex]

[tex]\\ \sf\longmapsto x=7.5[/tex]

The surface area of the figure is the amount of area covered by the figure.

The figure is not given, so I will give a general solution.

The method followed by Brad to calculate the surface area of the prism is correct.

However, whether Brad correctly calculates the areas of the rectangular prism and the triangular prism cannot be determined.

So, the conclusion is that:

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